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Re: [Fractint] whatever
by JackOfTradeZ＠comcast.net 12 Apr '10

12 Apr '10

"""I assume you know that you can render to disk at even larger sizes, then use a graphic editor like IrfanView to resize/resample down to half the original, so as to get a form of anti-aliasing applied to your image. It makes the edges even smoother, and usually ends up adding additional colors from the basic 256 (8 BitsPerPixel) mode to the 16.7 million (24 BitsPerPixel) mode.""" Why do I always find out about these things so late in life ........ ? .

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File formats and bloggers sense of humour (and a fractal)
by Roger Alexander 12 Apr '10

12 Apr '10

According to the blogger support forum,blogger has been known to convert gifs to pngs. Not only that at least two gifs of mine have been resized. I've checked my uploaded gifs and see some but not all have been converted. I can see no pattern to their behaviour regarding what is converted and what is resized.This is disheartening since the main reason I started my blog was to provide a source of completed fractals in gif form with Fractint readable parameter information like Jim Muth's postings. Until the bloggers of the world rise up and overthrow the file format tyrants I'll just have to put up with it and be extra meticulous when posting par and frm information to the mailing list. A possible long term solution might be photo hosting service like Flickr. I choose today's fractal because the pattern is irregular-the fusion of randomness and structure, the chaotic nature of the fractal. fract006.gif { ; Clay,earth,rust? ; A texture ; calctime 0:12:09.68 ; created Mar 30, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=julhack.frm formulaname=spiralweb2_j center-mag=+0.67526365833046050/+0.24293360171942600/865.224/1/-2.499999\ 99999908207/2.03594086034541988e-012 params=-0.6582537308877835/-0.2274544511246071/32/120 float=y maxiter=1500 inside=0 logmap=12 cyclerange=0/255 colors=00000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } spiralweb2_j(XAXIS_NOIMAG) { ;also very unusual! ;default for p1=0.27 ;p2 is the bailout (default=2 (!)) ;also try decomp! p=p1,p=p+(|p|==0)*0.27 b=p2,b=b+(b==0)*2 z=y=pixel: z=z*z+y+p y=y/z*p*p |z|<b ;SOURCE: julhack.frm } Roger Alexander _________________________________________________________________ Hotmail & Messenger are available on your phone. Try now. http://go.microsoft.com/?linkid=9724461

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Mutant Mandelbrots
by Roger Alexander 11 Apr '10

11 Apr '10

Perturbed and with init orbit and inversion I twisted all the dials making these brots. Note: Blogger is getting high handed again and converting some gifs to pngs. Go to http://maxitersfractalfollies.blogspot.com to see pre rendered and if worth generating Par info below. fract010.gif { ;initorbit,inversion,pertubation my oh my! ; blank ; calctime 0:11:02.91 ; created Apr 11, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-0.55328911163041110/+0.53022681361532120/1534.833/1/59.99999\ 99999974349/5.43277228759464492e-012 params=-0.08117923520615253/-0.5569627979369488 initorbit=0.1/0.1 float=y maxiter=1500 inside=0 invert=0.0727256080813013/-0.347270119327372/0.718070009460738 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } fract012.gif { ; zoom of fract010.gif ; blank ; calctime 0:10:41.15 ; created Apr 11, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-0.55341174653528850/+0.53038701354702490/23981.76/1/60.00000\ 00000478551/-2.86118836956283928e-011 params=-0.08117923520615253/-0.5569627979369488 initorbit=0.1/0.1 float=y maxiter=1500 inside=0 invert=0.0727256080813013/-0.347270119327372/0.718070009460738 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } _________________________________________________________________ Hotmail & Messenger. Get them on your phone now. http://go.microsoft.com/?linkid=9724463

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Wispy Structures
by Roger Alexander 10 Apr '10

10 Apr '10

Two fractals with a wispy structure,reminiscent of hair or filaments in living systems. 04101001.gif { ; Filaments Pale ; blank ; blank ; blank ; Fractint Version 2004 Patchlevel 4 reset=2004 type=hypercomplex function=sqr corners=-1.4786267172673/-1.4786262699929/-0.0025294669710173/-0.0025291\ 315151466 params=0/0/0/0 float=y maxiter=5000 inside=0 periodicity=0 colors=svysvysvytwyuwyuwyvxywxywxyxyyyyyzzzzzzyzzyzzxyzxyzwyzwyzvxzvxzux\ zuwztwztwzswzrvzrvzqvzquzpuzpuzouzotzntzntzmtzmszlszlszkrzjrzjrzirziqzhq\ zhqzgpzgpzfpzfpzeozeozdozdnzcnzbnzbnzamzamz`mz`mz_lz_lzZlzZkzYkzYkzXkzXj\ zWjzVjzVizUizUizTizThzShzShzRgzRgzQgzQgzPfzPfzOfzNfzNezMezMezLdzLdzKdzKd\ zJczJczIczIbzHbzHbzGbzFazFazEazE`zD`zD`zC`zC_zB_zB_zA_zAZz9Zz9Zz8Yz7Yz7Y\ z6Yz6Xz5Xz5Xz4Wz4Wz3Wz3Wz2Vz2Vz1Vz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uy0Uy0Uy1Uy2Vy2Vy3Vy4Wy4Wy5Wy6Xy6Xy7Xy8Yy9Yy9Z\ yAZyBZyB_yC_yD_yD`yE`yF`yFayGayHbyIbyIbyJcyKcyKcyLdyMdyMdyNeyOeyOfyPfyQf\ yRgyRgySgyThyThyUhyViyViyWjyXjyXjyYkyZky_ky_ly`lyalyamybmycnycnydnyeoyeo\ yfoygpyhpyhpyiqyjqyjrykrylrylsymsynsyntyotyptyquyquyrvy } 04101002.gif { ;Filaments Dark ; blank ; calctime 0:00:44.93 ; created Apr 10, 2010 ; Fractint Version 21004 Patchlevel 9 reset=2004 type=formula formulafile=contest4.frm formulaname=contest4 center-mag=-0.54563539839340970/+0.80632040861604740/154328.8/1/124.9999\ 99997780435/4.75005922234705835e-008 params=0.334535/-0.081554 float=y maxiter=1200 colors=0Qk0Qj0Pj0Oi0Oi0Ni0Nh0Mh0Lg0Lg0Kg0Jf0Jf0Ie0Ie0He0Gd0Gd0Fc0Fc0Eb0D\ b0Db0Ca0Ca0B`0A`0A`09_08_08Z07Z07Z06Y05Y05X04X04X03W02W02V01V00U01V03W05\ X07Y09Z0A_0C`0Ea0Gb0Ic0Kd0Le0Nf0Pg0Rh0Ti0Vj0Wk0Yl0_m0an0co0ep0fq0hr0js0l\ t0nu0pv0rw0qw0ov0mu0lt0js0hr0fq0ep0co0an0`m0Zl0Xk0Vj0Ui0Sh0Qh0Pg0Nf0Le0J\ d0Ic0Gb0Ea0D`0B_09Z07Y06X04W02V00U00U00T00S00R00Q00P00O00O00N00M00L00K00\ J00I00H00H00G00F00E00D00C00B00A00A00B00C00D00E00F00F00G00H00I00J00K00K00\ L00M00N00O00P00P00Q00R00S00T00U01V03W05X06Y08Z0A_0B`0Da0Fc0Gd0Ie0Kf0Lg0N\ h0Pi0Qj0Sk0Um0Vm0Xn0Zo0`o0bp0cq0er0gr0is0kt0mt0nu0pv0rw0tw0vx0xy0zz0zz0y\ z0yz0xz0xy0wy0wy0vy0vy0ux0ux0tx0tx0sx0sw0rw0qw0qw0pw0pv0ov0ov0nv0nu0mu0m\ u0lu0lu0kt0kt0jt0it0it0hs0hs0gs0gs0fs0fr0er0er0dr0dq0cq0cq0bq0aq0ap0`p0`\ p0_p0_p0Zo0Zo0Yo0Yo0Xo0Xn0Wn0Wn0Vn0Um0Um0Tm0Tl0Sl0Rk0Rk } contest4 {; Kerry Mitchell ; slightly optimized version of Contest formula z=p1, c=pixel: z2=sqr(z), z=z*z2+c*(1+z-z2), |z| <= 4 } To download them as gifs with Fractint readable parameter info go to http://maxitersfractalfollies.blogspot.com and if they have converted to pngs to see if they are worth generating again. _________________________________________________________________ Got a phone? Get Hotmail & Messenger for mobile! http://go.microsoft.com/?linkid=9724464

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FOTD 11-04-10 (Puzzled Predicament [7])
by Jim Muth 10 Apr '10

10 Apr '10

FOTD -- April 11, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image has a rating of a question mark. Since the image is the first of its kind, there is nothing with which to compare it that would determine its worth. In fact, the object at the center might not even be an object at all. Even though it has a vague Mandelbrot shape, it certainly is not a minibrot. Maybe it's nothing more than a near-circular grouping of eight pink almost-fractal trees. But as the colors show, something is dif- ferent inside the circle of pink trees. On each iteration the generating expression subtracts 1.08 parts of Z^(-1.3) from 0.72 part of Z^(-2.2) then adds (1/C) to create a humdrum fractal with little to note. This parent fractal is a sprawling thing consisting of two partially merged main bays with a chunk of chaos in the middle. Today's image is located in a very tiny valley inside a tiny bay on the west side of this chaotic chunk. At this point, words fail me. The name "Puzzled Predicament" indicates my loss for words. Since I am out of words, the best way to view the source of the wordlessness is either to run the included parameter file or visit the FOTD web site at: <http://www.Nahee.com/FOTD/> to see the finished image there. Saturday brought near normal early spring conditions to Fractal Central. The fractal cats would have preferred the temperature of 63F 17C to have been a few degrees warmer, but they seemed pretty much satisfied with things the way they actually were. The cloudless sky pleased the humans in the area, especially FL, who started work on her 2010 garden. My day was about average for a Saturday; Sunday should be a con- tinuation -- that is unless an unexpected antiquing expedition comes up. If no expedition arises, the next FOTD will be posted in 24 hours, otherwise it will appear in 48 hours. Until when- ever, take care, and the first step to finding a solution is to thoroughly understand the problem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PuzzledPredicament { ; time=0:01:46.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-1.669522262876/+0.0000241354613/149822\ /1/-32.5/0 params=0.72/-2.2/-1.08/-1.3/0/2/0/0 maxiter=1750 inside=255 logmap=100 periodicity=6 colors=000MH9NHAOHCPHDQHFRHGSHITHJUHIVHIWHIXHIYHIZ\ HI_HIYIIVJITKHQLHOMHLNHJOHGPHEQJBRL9SN7TR8UU9XXA_Z\ Bb`CeeDhiEkmFmpGlqGlpGkoGklGklGj`GjZHjXHiVHiTHiRHh\ PHhSHhQKeONbMQ_HTXCWU2YS0`P0cM0fJ0iG0kE0nB0q80t50w\ 25y25v28s2Bq2En2Gk2Ji2Mf2Pc2Ra2UZ2XW2_U2aR2dO2gM2j\ J2lG2oE2rB2u92wD3sH3pK4lO4iR5eV5bY6Za6Wd7Sh7Pk7Mj`\ Oi5PnSQg4Rf4Se3Td3Uc2Vb2Wa2X`fi_2ZZUmY2`X2aW2bV2cU\ 2dzc_m4WR8RzKzPEJQzIRCHSBHTAGU9GV8FV7FW6EX5EY4Dz3D\ _2CzzCY2BX2BW2BV2BU2AT2ASzAR2AP2AO29N29M29L29K29z2\ 8I28z28F28E28D27C27B27A27927B28D28F28G39I39K49M5AN\ 5AP6AR6BT7BU7BW8CY9C_9CbB9aC8aC7aC7rhzwczrhzwczrhz\ wczsgzsMzsMzsMzcMzcMzcMzcMzcMzcMzsgzxbztfzyaztfzya\ ztfzyaztfzyaztfzyaztfzyazuezz`zuezz`zuezz`zuezz`zu\ ezz`zuezz`zvdzz_zvdzz_zvdzz_zv_wv_wv_wv_wv_wv_wwZw\ vZwt_wr_wp`wo`wmawkawibwhcwmczmdzmdzmezmezmfzmgzmg\ zmhzmhzmizmizmjzmkzNkzmoz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Resampling,complexity compounded
by Roger Alexander 09 Apr '10

09 Apr '10

Two fractals to consider.Resampling revisited and a Mandelbrot zoom. Go to http://maxitersfractalfollies.blogspot.com to seen them already generated fract044.gif { ; resampling example ; blank ; calctime 0:03:04.94 ; created Apr 09, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_q.frm formulaname=quartet_rjr function=sin center-mag=0.93617/0.565943/1.449275 params=0.2058168279061251/0.01660206915494247/-0.4833521530808436/-0.455\ 0920133060702 float=y maxiter=1500 inside=0 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } frm:quartet_rjr {; From Noel Giffin noel(a)triumf.ca modded rjr ; The quatro-HT variation. Use real part of p1 0.0 < p1 < 1.0 ; Adding the inversion causes what looks like an ; infinite extension along ; the real axis. Using the Imag component will ; add some nice asymmetry. z=pixel, zp = p2, huge = 1.0e30: temp = z z = fn1(z) - zp zp = p1/temp (|zp| <= huge && |z| <= huge) ;SOURCE: noel1.frm } fract081.gif{ ; A spiral of spirals ;A Mandel zoom ; calctime 0:00:29.77 ; created Apr 09, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-1.05003213098729200/-0.24722364898826530/39433.73 params=-0.7274086733603931/-0.4122745445112461 initorbit=0.5/0.4 float=y maxiter=3600 inside=0 logmap=400 cyclerange=0/255 colors=000000403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } _________________________________________________________________ Videos that have everyone talking! Now also in HD! http://go.microsoft.com/?linkid=9724465

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FOTD 10-04-10 (None of It is Real [7])
by Jim Muth 09 Apr '10

09 Apr '10

FOTD -- April 10, 2010 (Rating 7) Fractal visionaries and enthusiasts: On Friday I took Z^(3.3) and mixed it with 1/2 part of Z^(5.5) before adding straight C. The resulting parent fractal is a north-south thing with two blunt bays and something resembling a balloon with a winged basket hanging from it. Today's image is located in the left wing of the winged basket hanging from the parent balloon. Most of the effect was achieved by rendering the scene with the outside set to 'tdis', which colors the points according to how far they travel before finally escaping. The calculation time of just under 10 minutes is more than the image is worth, so I recommend visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> where the image is posted for instant if not quite total bliss. I named the image "None of It is Real". (The word 'it' in the name refers to the world of fractals.) I am still waiting for someone to get a clear photograph of the actual Mandelbrot set. When I see one, I will change the name of today's image to "All of it is Real". The rating of a 7 is pretty much how we've been going lately. The image is too chaotic to rate any higher, and the colors tend to muddiness as well. At lunch on Friday, FL and I decided to skip the depressing end- of-world stuff and tuned to the animal channel just in time to catch one of those I-was-eaten-alive-by-a-great-white-shark-and- survived programs. I wonder what ever happened to the old 'funny animals' type shows that were actually enjoyable to watch. Perhaps we all secretly realize that the end is nigh. It might explain why these shows are so popular. Friday here at Fractal Central featured (if it can be called a feature) lots of clouds, brisk winds and a temperature of 50F 10C. When the fractal cats felt the chill, they searched for the sun on their shelf. Unfortunately, the clouds hung tough, and even if the sun had appeared, its angle is now so high that very little of it would have reached the cats' shelf. The next FOTD will be posted in 24 hours. Until then, take care and if our end is nigh, we must have done something very wrong somewhere along the line. If our species could relive its past, what could it do differently that would have avoided its present impending doom. Or perhaps self-destruction is the natural fate of any species that develops our degree of intelligence. This would explain why there are no signs of other intelligent life in the universe. When they reach our stage, they all go POOF! Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= None_of_It_is_Real { ; time=0:09:59.87-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.11024789457/-1.18132554459/849942/1/\ 152.5/0 params=1/3.3/0.5/5.5/0/0/0/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=6 colors=000vI9tKBrLDpMFnOGlPIjQKhSLfTNdUPbWQ`XSZYUX\ _VV`XTaZRb_PfcOigNljLonKrrJuuLtqNsmPriQqeSqbUpZVoV\ XnRZnO_mKalGckCdk9fj8gj7hi7ji6kh5lh5nh4og3pg3rf2sf\ 1tf1fjFUmTHpeJdcKTaLH_M6ZL9WKCUJESJHQIJOHMLGPJGRHF\ UFEWDDZADa8Cc6Bf4Bh2Ei7GiBJjGLjKNjPQkTSkYVlaXlfZlj\ amocmsemwforfqmgshgudhw_hyVhzRiuSjpTklUlgUmcVnZWoU\ WuQXzLYzHYxI`nIcjIfeIiaIlfIofIqgKhmM_sORyPJtRMpTPk\ VSgXVcYYZ_`VacRcfMeiIflEhojjrclucmwTblsSatVdtYfu`i\ umkvenvhpwkswmuslpplkmkfjkafjXchS`eNYcIVcD`cGfcJlc\ MraPx_RybQyhQymPysPzzUzzczzmzzzzzzzzzzzztrRpmUlhYh\ c`dZc_UgWOjSJnOEqK9tJAtHAtGctEcuDUuCczADz9Dv7Ez6Ez\ 5cv6BW9cXCDXEEYHFYRIZKGYMHZPIZdRmbPk`OiZNgYMeWLcUK\ aSJ_OUyPTwPSuPRsPQqQPoQOmQOkQNiQMgRLeRKcRJaRI_DZEE\ YFFXGFWHGWIHVJHUKITLITMJSNKROKzzzzPLzzzzRNzzzzTOzz\ zzVPzzzzXQzzzzZFzzzzfHzzzzeIzeIzdJzdJzdKzcKzcLzbLz\ bMzbNzaNzaOz`Oz`Pz`Pz_Qz_ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 09-04-10 (Common-Sense Cubic [7])
by Jim Muth 09 Apr '10

09 Apr '10

FOTD -- April 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: With or without humans in the universe, there would probably still be fractals. Or maybe we invented fractals, and if we were to vanish, the fractals would vanish with us. And speaking of fractals, we have a semi-outstanding one for today. At first glance, the parent fractal of today's cubic image looks like a Mandelbrot set. Closer examination however reveals cubic tendencies just beneath the surface. The scene is located on the X-axis just beyond the large mini- brot on the main stem of the parent. This large minibrot is shaped much like the Zexpe fractal, with today's image lying in its west valley. I named the image "Common-Sense Cubic". The name could mean anything one wishes. The rating of a 7 means the image is a little better than average. The calculation time of 13 seconds is no mistake. Even an image with a rating of 1 would be worth this brief wait. And as always, the image may also be seen by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is posted for instant bliss. My philosophical energies were once again aroused on Thursday, and this time I did not let the opportunity to have a philosoph- ical conversation pass. To avoid non-fractal philosophizing, skip to the last paragraph. FL sometimes accuses me of being insensitive to the problems of the environment, when in fact I am all too aware of the true situation. As we ate lunch on Thursday, we watched one of those doomsday climate-change programs, this one about the melting of the glaciers in the Himalayas. The glaciers are definitely melt- ing because of the warming climate, and if the melting is not stopped, over one billion people in India and other countries, who depend on the glaciers for their water, will be left without water. The program claimed that if this happens, the death toll could run into tens of millions. I told FL that the earth is definitely warming. Only the amount of warming that is caused by man's activity is in question. But the real environmental problem is the number of people that the earth with its limited resources is being asked to support. The planet already holds several times the population it can support in a comfortable (think American style) manner. The obvious but unworkable solution is to rid the planet of its excess population, either by euthanasia or mass sterilization. If we fail to drastically cut our own numbers very soon, and indeed, because of the moral issues, we will surely not do this, the planet will cut our numbers for us by making the quality of life unbearable for humanity. And no amount of liberal green- energy dreams or conservative no-problem, business-as-usual bellowing can change this. As history shows, when life becomes unbearable, people react in ways that are irrational and self- destructive. Is this kind of thinking callous and insensitive? FL says we must not think such thoughts about death and sterilization, we must go 'totally green', whatever that means. I am certainly not suggesting we start killing people, but as I see it, as long as our numbers continue to grow, any 'green' solution will be futile. The over-population is the cause of our environmental problems, and the situation is already hopeless. Most likely, we will simply lie back blaming others, passing silly, useles laws, and dreaming feel-good dreams about fantastic solutions that would inconvenience no one, until the last human being is gone and the insects take over. It's kind of a depressing scenario, but I am always open to a reasonable and workable way out of the situation, which would be far more encouraging than the 'stop crying and enjoy the end' stuff I hear now. The midsummer weather continued during the day Thursday here at Fractal Central, with sunny skies and a temperature of 88F 31C. But the summer-like conditions came to an abrupt end around 6pm, when a lively thunder-storm moved in, dropping the temperature to 61F 16C. The fractal cats continued in their summer modes during the day, and asked for reassurance when the thunder began rumbling. My day was average. The next FOTD will be posted the day after NASA lands the next man on the moon. (Just kidding!) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Common-Sense_Cubic { ; time=0:00:13.76-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip float=y center-mag=-1.814854179191/0/5e+007 params=3/10/0/0 maxiter=900 inside=0 logmap=55 symmetry=xaxis colors=000F3EIGHLKJOOKRSLVWMY_N`eOckPfpQhuRjvTlvVn\ wYpwasxevyjyzpzzuzzzzypzthyocxlVwhYudasadqYhoUkmRn\ kLlkGjkBiNczPgzRkzSozUszVQVXNSYJO_FK`CHVIFPOEJTCDZ\ B8cA6R74E4OUzJUzFKzAKz63mJ1cF1PC1N814512cqt4Hp3Dc3\ 9R25EKdnERY8EHw`foW`hSWaNRVJMNEGGAB956`1`V1VP1PRQT\ NUNJYHH`FFbDDzCBzA9h97j75l69243P3cQhXL`RHULDNE9F85\ 8ZLuUIlPFdKCXG9PB6H639uCeb8SK4Ew5oc3ZL2IuQGUT89yM7\ iG5VB3G69nA7e86Y75Q54H4392p8Ze6SW5LM3EC27dNQxVApR8\ iN7aJ6VG5OC4G839428Wx6Oi5GV38GpZScQLRIEE97znkoeceY\ WWQOMHGC98rBY`7NJ4ClzXbmQUaKKPDBD7qdciZYbTSVNNOIHG\ CC966MT6FJ48A2yhYo`SeUNWNHMFCC86gwTaoPXhMS`INUFHNB\ CF8784Qn6EQ3FGJABD667UU3PP2KK2GF2zzzzzzzzzzzzzzzzn\ zGfzJizzzCPmzSozzrIYtz`vMzxNztPzqRhszivVzzXlzzmz`z\ zbpzzqzezz`hzzdzRzzMXzz_zFzzEczCezBgz9iz8kz6mz5oz3\ qz2sz1tz2tz3tz3tz4tz5uz5uz6uz7uz7uz8uz8Qz9OzBMzCLz\ EJzFHzHGzI1z6AzDIzKQzQzzz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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Tnx 4 par & formula of Tippy fractal.
by Hal Lane 09 Apr '10

09 Apr '10

Jay, Thanks for the par and formula for the fractal of Tippy. Please post your formulas and parameter files to the list using text- format email, rather than HTML. Your email client turns strings like "colors=(a)altern.map" and "32.62s/megapixel@350Mhz" into underlined links when sent in HTML format... In your email's source code they look like this: <A href="mailto:colors=@altern.map">colors=(a)altern.map</A> - Hal Lane ######################### (\__/) # hallane(a)earthlink.net # (='.'=) ######################### (")_(")

3 2

Order and Chaos Pt. 2
by Roger Alexander 08 Apr '10

08 Apr '10

Fractals can be chaotic-having the charactersitic of sensitivity to change in intital conditions. Here are two examples of chaos.The first,a plain vanilla Mandelbrot zoom, has the chaotic nature of the artificial.The pattern while convoluted and serpentine is not noisy-it does not have randomness it because it is strongly self-similar.For example it is perfectly symmetrical. The second mimics natural chaos-it is superficially random. There is the hint of structure in the discernible spiral but it has the irregular variations of the natural world. Unending complexity from the simplest of algorithms. fract020.gif { ; A mainstream minibrot ; blank ; calctime 0:00:54.72 ; created Apr 08, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-1.63282165206508200/+0.00000018074763755/124610.6/1/-90/-1.2\ 3373533611470521e-014 params=0/0 float=y maxiter=3600 inside=0 logmap=70 colors=0000Qj0Pj0Oi0Oi0Ni0Nh0Mh0Lg0Lg0Kg0Jf0Jf0Ie0Ie0He0Gd0Gd0Fc0Fc0Eb0D\ b0Db0Ca0Ca0B`0A`0A`09_08_08Z07Z07Z06Y05Y05X04X04X03W02W02V01V00U01V03W05\ X07Y09Z0A_0C`0Ea0Gb0Ic0Kd0Le0Nf0Pg0Rh0Ti0Vj0Wk0Yl0_m0an0co0ep0fq0hr0js0l\ t0nu0pv0rw0qw0ov0mu0lt0js0hr0fq0ep0co0an0`m0Zl0Xk0Vj0Ui0Sh0Qh0Pg0Nf0Le0J\ d0Ic0Gb0Ea0D`0B_09Z07Y06X04W02V00U00U00T00S00R00Q00P00O00O00N00M00L00K00\ J00I00H00H00G00F00E00D00C00B00A00A00B00C00D00E00F00F00G00H00I00J00K00K00\ L00M00N00O00P00P00Q00R00S00T00U01V03W05X06Y08Z0A_0B`0Da0Fc0Gd0Ie0Kf0Lg0N\ h0Pi0Qj0Sk0Um0Vm0Xn0Zo0`o0bp0cq0er0gr0is0kt0mt0nu0pv0rw0tw0vx0xy0zz0zz0y\ z0yz0xz0xy0wy0wy0vy0vy0ux0ux0tx0tx0sx0sw0rw0qw0qw0pw0pv0ov0ov0nv0nu0mu0m\ u0lu0lu0kt0kt0jt0it0it0hs0hs0gs0gs0fs0fr0er0er0dr0dq0cq0cq0bq0aq0ap0`p0`\ p0_p0_p0Zo0Zo0Yo0Yo0Xo0Xn0Wn0Wn0Vn0Um0Um0Tm0Tl0Sl0Rk0Rk } fract279.gif { ;Organic or inorganic? ; blank ; blank ; created Apr 08, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=H05-17 function=sin/sqr center-mag=-1.30971817008782600/+1.06416508897457400/136.5077 params=-1.241859187597278/-2.212836085085605/0.8100222785119174/-0.41389\ 2025513474 float=y maxiter=3200 logmap=43 periodicity=0 cyclerange=0/255 colors=A00A00B00B00C00D00D00E00F00F00G00G00H00I00I00J00K00K00K00L00L11M1\ 1M11N11N11O11O11P11P11Q11Q11R11S00S00T00T00U00V00V00W00X00X00Y00Z00Z00_0\ 0`00`00a00b00b00c00d00e00f00g00g00h00i00i00j00k00k00l00m00m00n00o00o00p0\ 0q00r00r10r20r30r40r50r60r70r80r90rA0rB0rC0rD0rE0rF0rG0rH0rI0rJ0rK0rL0rM\ 0rN0rO0sP0sQ0sR0sS0sT0sU0sV0sW0sX0sY0sZ0s_0s`0sa0sb0sc0sd0se0sf0sg0sh0si\ 0sj0tl0tl0tl0tk0tk1tj1tj1ti2ti2ti2th3uh3ug3ug4uf4uf4ue5ue5ue5ud5ud6uc6vc\ 6vb7vb7vb7va8va8v`8v`9v_9v_9wZAxYAxY9xX9xX8xW7xW7xV6xV6yU5yU5yT4yT3yS3yS\ 2yR2yR1zQ0zQ0yP0xP0wO0vO0uN0uN0tM0sM0rL0qL0pK0oK0oJ0nJ0mI0lI0kH0jH0iG0iG\ 0hF0gF0fE0eD0dD0cC0cC0bB0aB0`A0_A0Z90Y90Y80X80W70V70U60T60S50S50R40Q40P3\ 0O30N20M11M11M11M11L11L11L11L11K11K11K11K11J11J11J11J11I11I11I11I11H11H1\ 1H11H11G11G11G11G11F11F11F11F11E11E11E11E11D11D11D11C00 } frm:H05-17 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; = 2(xH(4)-4H(3)) z=pixel, oz=0 fz=0 zt=fn1(z)+p1: foz=fz zz=z*z fz=8*z*(4*zz*(zz-5)-9) z=z-p2*fz*(z-oz)/(fz-foz) oz=zt zt=fn2(z) |fz|>=0.0001 ;SOURCE: chby17.frm } _________________________________________________________________ Hotmail & Messenger. Get them on your phone now. http://go.microsoft.com/?linkid=9724463

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FOTD 08-04-10 (Springtime Daydream [No Rating])
by Jim Muth 08 Apr '10

08 Apr '10

FOTD -- April 08, 2010 (No Rating) Fractal visionaries and enthusiasts: Due to an unexpected but critical rush job that arrived on Wednesday, today's image will have to go with little discussion. But fractals usually speak for themselves, so to see what the excitement is about, either run the included parameter file or check the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is or soon will be posted. The parent fractal was created by subtracting 0.4 part of Z^5 from Z^3 and adding straight C. This parent is a Mandelbrot set rotated 180 degrees with scattered debris extending farther out in both directions along the X-axis. Today's scene is located in a clump of this debris east of the main body of the parent. Partly cloudy skies and a temperature of 90F 32C made Wednesday feel like midsummer here at Fractal Central. The fractal cats had no comment. The next FOTD will be posted in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SpringtimeDaydream { ; time=0:01:45.96-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.9577649855558089/+0.0133845036628121\ /1.2e+009/1/70/0 params=1/3/-0.4/5/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=000ODVPGTRIRSLPTNNVQLWTJYVHZYF_`DabBbe9cg8_\ f8Xf8Wg9Vh9Vi9Uj9Tk9Tl9SmARnARoAQpAPqAPqANdCMTDJQC\ HNBEKACH99E87C8AGFDJMGMSINUJNWLOYMOZOP`PPbRQcSQeUR\ gVRhXSjYSl_Tm`TobUqcUraYk``eZcZYfTWjMVmGTp9Ss3Qp4P\ m5Nj6Mh6Ke7Jb8H_9GY9FVADSBCPCANC9KD7HE6EF5CF9FIDHL\ GJOKLQNNTRQWUSZYU``WcdYfg`ikbkndnrfquhsqennbik_egX\ `dUXaRSZOOVLRSIUPFZMDcLEhLF7KG8KH8KI8JJ9JK9ILAIMAI\ NAHOBHPBHQBGSGFTKEWUDYcC_mBavAdz9gz8jz8mz7pz7Xt6Ww\ 6Vz5Uz5Tz4Sz4Rz3Qz3Pz2Jz2Hu6DmALcELbII`LUWPVQTXLXY\ G`ZBc_6daCdcIdeOefUeh_ejeekkfjigihzhfzgejfckebzd`m\ c_hd`dea`ebXfcTgcPgdLheHifDifEhdEhbFhaFh_FhZGhXGhW\ GhUHgSHgRIgPIgOIgMJgLJgJJgILfGNeEOdDQdBRcATb8Ub7Sa\ 8R`9Q_9OZANZBMYBLXCJWDIVDHVEFUFETFDSGCSGGRJKRMNQPR\ QRVPUYPXaPZeOahOdlNgpNisMlwMozMqoOidPaVQVUSWUUXQx1\ Rs7SnCSiHTdNU_SDNdkBEfHJbMOYRTcxRasS_nTZiUXdVV_WCd\ 4Fb9IaDK`HNZLPYPSXTQCESMO } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Gifzilla,502, and a fractal
by Roger Alexander 07 Apr '10

07 Apr '10

About Apr 5 and the 502 error for Gifzilla, Google says 502 means servers could't talk too each other.The best I can say is try again.Speaking of gifs is any one else having this problem? When I click on the thumbnail in the Apr 5 post the images download saying it's a gif,but when I click on image to save, it saves as a png.What's peculiar is that when I checked out the post earlier the images saved as gifs. Is Blogger messing with my head or does it have something to do with my browser? I'm using IE7 and a Sony Vaio laptop. The whole point to uploading gifs is to provide a real life sample of a sparklie image to try out resampling techniques. Go to http://maxitersfractalfollies.blogspot.com to see the finished image. Pars and frm for Apr 6 Looks vaguely organic fract018.gif { ; gill slits for some cyber sea creature ; blank ; blank ; blank ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=sherlo~1.frm formulaname=pixelpower function=cotan/cosh center-mag=1.51712/-1.07757/51.10688 params=6.103515625e-005/0/2.054911804015164/1.5/0/0 float=y maxiter=1200 potential=255/550/500 colors=000100200300400500600800900A00B00C00D00E00G00H00I00J00K00L00M00O0\ 0P00Q00R00S00T00U00W00X00Y00Z00_00`00a00c00d00e00f00g00h00i00k00l00m00n0\ 0o00p00q00s00t00u00v00w00x00z00z00z11z22z22z33z44z44z55z66z67z77z88z89z9\ 9zAAzABzBBzCCzCDzDEzEEzEFzFGzGGzGHzHIzIIzIJzJKzKLzKLzLMzMNzMNzNOzOPzOQzP\ QzQRzQSzRSzSTzSUzTUzUVzUWzVXzWXzWYzXZzYZzY_zZ`z_`z_az`bzaczaczbdzcezcezd\ fzegzfhzfhzegzegzdfzdfzcezcezbdzbczaczabz`bz`az_azZ`zZ_zY_zYZzXZzXYzWYzW\ XzVXzVWzUVzUVzTUzSUzSTzRTzRSzQRzQRzPQzPQzOPzOPzNOzNOzMNzLMzLMzKLzKLzJKzJ\ KzIJzIIzHIzHHzGHzGGzFGzEFzEFzDEzDDzCDzCCzBCzBBzABzAAz99z99z88z78z77z67z6\ 6z56z55z44z44z33z33z22z22z11z00y00x00w00v00u00t00s00q00p00o00n00m00l00k0\ 0j00h00g00f00e00d00c00b00a00_00Z00Y00X00W00V00U00T00R00Q00P00O00N00M00L0\ 0K00I00H00G00F00E00D00C00B00900800700600500400300200000 } frm:PixelPower { ; SherLok Merfy <brewhaha(a)freenet.edmonton.ab.ca> ; Fri, 13 Feb 2004 06:07:18 ; (formula) Imajinaries yield asymmetry. chaw=P1, z=fn1(pixel), s=P2-fn2(pixel), if(P3==(0,0)) P3=sqrt(0,2) endif: z = z^s +chaw, |z| <= |P3| ;SOURCE: sherlo~1.frm } _________________________________________________________________ Got a phone? Get Hotmail & Messenger for mobile! http://go.microsoft.com/?linkid=9724464

2 1

FOTD 07-04-10 (Separated Selves [6])
by Jim Muth 06 Apr '10

06 Apr '10

FOTD -- April 07, 2010 (Rating 6) Fractal visionaries and enthusiasts: I named today's image "Separated Selves' because it appears to have somehow come apart. At the center of the scene, well beyond resolution, lies a minibrot. The pattern around it is of the typical East Valley variety, but in this image the parts are disconnected, with new radiant centers appearing from nowhere within the main pattern. The generating expression subtracts 2Z from Z^3 and adds straight C to produce a Mandelbrot set with an extraordinary main stem. Instead of having a large minibrot on its negative spike, this parent has an open object shaped like an upright numeral 8 centered on the X-axis. Today's scene is located in the east branch of the valley separating the top and bottom halves of the figure 8. The rating of a 6 is all I could give the image. Maybe if I had put more effort into it, I might have raised it to a 7, but with a serious attack of spring fever that lasted all day, more effort was the last thing on my mind. To see the image, run the included parameter file and relax for just under 4 minutes, or forget the parameter file and hop over to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the image is posted in finished form, ready to bring indescribable happiness to all who venture there. I avoided another philosophical debate at lunch on Tuesday. FL and I were watching the TV news when an overhyped report about the current church scandal came on. FL turned to me and said she wondered what the big guy up in heaven must be thinking as he sees what has become of his church. I remained quiet, remem- bering that, according to church doctrine, there is no salva- tion outside the church. Well, it now looks like there is no salvation inside the church either. I guess the devil has just about won the contest for souls! Tuesday began with a shower and one grumble of thunder here at Fractal Central, but the rain ended by 8am and by 10am the sky cleared. The rest of the day was a beauty, with sunny skies, balmy southwest winds and a temperature of 86F 30C. When the fractal cats felt the heat, they went into their stretched-out postures for the first time this year. The rest of the action on Tuesday was average, with nothing to make the day different from thousands of similar days. The next FOTD fractal image, guaranteed to be at least different and possibly better than today's, will be posted in 24 hours. Until then, take care, and perhaps everyone's truth is the true truth. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Separated_Selves { ; time=0:03:53.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.5990981963240228/+0.000001370401281/\ 8.077627e+011/1/-23.5/0 params=1/3/-2/1/0/0/0/0 float=y maxiter=1400 inside=0 logmap=290 periodicity=6 mathtolerance=0.05/1 colors=000KYuKYtKYsKYrKYqKYpKYoLYnMYmNXlOVkPTjQRiR\ PhSNeTLbUJ_UHXUKVUP9UUEZZJccGhhEmmBrr9vvAzzALzzMzz\ MzzNzzNzzOzzPzzPzz6za76_85Y94X93VA2UB1SB1RD4QE7QFA\ QzDQIGQJJQzmQLPQKROzcMIUKIVIzmGGYEF_CzcALZEQYHzmK`\ WzeVQjUTojznUYmV_lWzkXcjYeimzi_ih`kgazfboecqddzceu\ RQ9pTHmXFj`DhcBeg9bk7HfMOiGVlBwokqn`knRenGttSqsPor\ MlqJjqHnAznz3oAzpz1pAznC1mEzlz1kH1jIziz1gM2aP2`P2_\ Q2ZS2YT2XV2_m3ZY3Y_3Xm3Wb3Vc3Tm4Sg4Rh4Qm4Pz4Om4Nz4\ Om6Oz7Om8Pz9PmBPzCQlDQzEQlFQzHRkIRzJRkKSkMSkNSjOSj\ PTjQTjSTjTUiUUiVUiXViYViZVh_Vh`WhbWhcWhdXgeXggXghX\ giYgjYfkYfmZfnZfoZfpYgrZfqZep_do_cn`bn`ama`la_kb_j\ bZjcYicXhdWgdVfeUfeTefSdfScgRbgQbhPahO`iN_iMZjLZjK\ YkKXkJWlIVlHVmGUmFTnESnDRnDRkBXiAaf9fd8k`6sb7pc8md\ 9jfAhgBehCbjD_kEYlFVnGSoHPpINrJKsKHtLEvMCwN9xO6yO4\ xQ5wR5vS5vT5uU6tV6sW6sX6rY7qZ7p_7p`7oa7nc8nd8me8lf\ 8kg9kh9ji9ij9hkAhlAgmAfnA } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-04-10 (Terraces to Nowhere [5.5])
by Jim Muth 05 Apr '10

05 Apr '10

FOTD -- April 06, 2010 (Rating 5.5) Fractal visionaries and enthusiasts: Today's image with its rating of 5.5 is quite a come down from the lofty rating of 9.5 given to yesterday's image. But it is still worth a quick look. Unfortunately, with a calculation time of 12-4/5 minutes, taking a really quick look from the parameter file could present a problem. To solve this dilemma, I suggest a quick trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the image is or soon will be posted for immediate viewing pleasure. The parent fractal is a small Mandelbrot set rotated 90 degrees so that its main stem points north along the positive Y-axis. Today's scene is located on the negative Y-axis beyond (south of) the parent's East Valley, on a blunt wedge jutting into a distorted bud on the northeast shore line of a strange appearing hole with minibrot characteristics. The name "Terraces to Nowhere" pretty much explains itself. The terraced effect was achieved by rendering the scene with the out- side set to 'tdis'. And now that the image has been described, let's get to conditions here at FC. Lots of sun and a temperature of 82F 28C made Monday the most pleasant day so far this year here at Fractal Central, at least outdoors. The sun is now so high in the afternoon sky that it falls short of the fractal cats' window shelf. The dynamic cats do not worry themselves about the lack of sun however. It is now plenty warm all through FC. My day was average, like so many other days. It's curious that when one is a child every day seems different, then when they reach adulthood, all the routine days seem to blend into a kind of monotonous similarity. One thing always varied however is the next fractal, the very next of which I will post in 24 hours. Until then, take care, and it's all an evil conspiracy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TerracesTo_Nowhere { ; time=0:12:50.35-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.0010469135278344/-0.2989515348835464\ /3.07908e+010/1/75/0 params=4/3/2/1/0/0/0/0 float=y maxiter=6400 inside=0 outside=tdis periodicity=6 colors=0001PG1QA0R50S0GPFWMTjKfiNeiPdhSchUchWbgZag\ ``gb`fe_fgZfiZgadgVjgNpgGvcFr`FoYFlVFiRFfOFcLF`IFY\ EFVBFS8FP5FM2FJ7GMCGPHGSMHVRHYWH``IceIfjIhlKjmLknN\ moOnpPprRqsSstTtuVvvWwwXxx`sxcnxfiyidyl`yoWzrRzuMO\ dfLcdIacG`aD_`AYZ8XX5VW2UU0TT4RU7PUBOVEMVIKVLJWPHW\ SGWs`QoYRkVRgSScPS_NTWKTSHUOEUKBVH9VKEYNJ_POaSTdVX\ fXah_fkbkmdooepkfqggqcgr_hrWisSjsOjtKktGluClu8nm7o\ f7q_7rT6tM6uF6v86pCAkFDfJGaMJXPMSTQNWTIZWDbZ8ea3hd\ EVfPIhZ5jNUcCqXEkTGeQH_NJUKLOHMIEOCBP68NFHLOQJXYHe\ fFnoEwwFuvGsuHqtIotJmsKkrLirMgqNepOcpPaoQ_nRYnSWmT\ UlTSlRUjPViNWhLXgJYfHZeF_dD`cBabAbaId`Pf_WhZbiYikX\ pmWwnVrhTmbSiYRdSQ`NOWHNSCMN6LJ1KL4NM7POARPDTRGVSJ\ XTM_VPaWScYVeZYg_`iZbdYc_XeVWfQVgLUiGTjBSk7Wi6_h6c\ g6ff6jd6nc6rb6ua6pb7lb8hb8db9_bAWbASbBObBXdOee`nfm\ vgzrhrnijkjcgjWckO`lHXm9Um2_k8djDbkHakK_kNZlQYlUWl\ XVm_TmbSmfRniPnlOnoNnrSis } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Missing Par File
by Roger Alexander 05 Apr '10

05 Apr '10

The par for the big spiral gif is missing.Here it is. Roger Alexander spiral01.gif { ; Big Spiral Gif ; blank ; calctime 0:02:03.69 ; created Apr 05, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=julia passes=1 center-mag=0.388744/0.331247/20.46044 params=0.3480853364350767/0.07435460266808068 float=y maxiter=3600 inside=0 logmap=79 colors=000v0bt0ar0_q0Zo0Xm0Wl0Uj0Ti0Rg0Qe0Pd0Nb0M`0K_0JY0HX0GV0ET0DS0BQ0\ AO08P08Q08R08S18U18V18W18X28Y28_28`28a38b38d38e38f48g48h48j48k58l58m58o5\ 8p68q68r68s68u78v78w78x78z88z98zA8zB8zC8zD8zE8yF8yG7yH7yI7yJ7yK7xL7xM7xN\ 7xO6xP6xQ6wR6wS6wT6wU6wV6wW5vX5vY5vZ5v_5v`5va5ub5uc4ud4ue4uf4ug4th4ti4tj\ 4tk3tl3tm3sn3so3sp3sq3sr3rs2qs2os3ns3mr4lr4kr5jr5hr6gr6fr6er7dr7cq8aq8`q\ 9_q9ZqAYqAXqBVqBUpCTpCSpDRpDQpDOpENpEMpFLpFKoGJoGHoHGoHFoIEoIDoJCoJAnK8q\ L5tN3wP0zR0wQ0sO0pN0lL0hJ0eI0aG0YE0VD0RB0N90K80G60C40H90MF0RL0WR0`X0eb0j\ h0on0tt0zz0xx0vv0st0qr0no0lm0jk0gi0ef0bd0`b0Y`0WY0UW0RU0PS0MP0KN0HL0FJ1C\ G2CL4DP5DU7DZ8EbAEgBElDFpEFuGGzGGxFFvEEtDDrCCpBBnBBlAAj99h88f77d66b66`55\ Z44X33V22T11R00O53SA6XG9aLCfQFkWIp`LufOzfNyfMweLveKtdJsdIqdHpcGncFmbEkbD\ jaChaBgaAe`9d`8b_7a_6__5ZZ4XZ3WY2UY1TX0Rc0Vk0Zr0bz0fy0e } _________________________________________________________________ Videos that have everyone talking! Now also in HD! http://go.microsoft.com/?linkid=9724465

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Re: [Fractint] Pars and Frms for April 4 blog post
by jimmckenzie＠earthlink.net 05 Apr '10

05 Apr '10

Couldn't access GIFZILLA, got a server error 502. -----Original Message----- >From: Roger Alexander <maxiterfractal(a)hotmail.com> >Sent: Apr 5, 2010 8:48 PM >To: Fractint <fractint(a)mailman.xmission.com> >Subject: [Fractint] Pars and Frms for April 4 blog post > > > > Here is the par and frm info for the fractals >in my blog post demonstrating resizing and >anti-aliasing if you want to try them out yourself. >I've also posted the original full sized gifs -3000x2250 >They're bigguns tho' -Big Blue is 5.4 MB and the Julia spiral is >3.6 MB. > >go to: http://maxitersfractalfollies.blogspot.com > >fracblu1.gif { ;Big Blue Gif > ; blank > ; calctime 0:00:10.66 > ; created Apr 05, 2010 > ; Fractint Version 2004 Patchlevel 9 > reset=2004 type=formula formulafile=field.frm formulaname=field2_man > passes=1 > center-mag=-1.63351379261808400/+0.00550110730071875/304.7593/1/-140.000\ > 000000001023/1.64155494752904474e-012 params=3600/1 float=y > maxiter=1200 inside=0 decomp=256 periodicity=0 cyclerange=0/255 > colors=00101211312412413523624724825935936A36B37C47D48E48F49F59G5AH5AI5B\ > J6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAIVAJWAJXBKXBKYBLYCLZCMZCM_DN\ > `DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHUhIUiIViIVjIWjJWkJXkJXlKYlKY\ > mLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdrQdsResRetRftSftSgtTguThuUhuUivVi\ > vVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybqybqycrydryesyeszftzgtzhuzhu\ > zivzjvzkwzmwznxzpxzqyzryzuzzuzzuzzryzqyzoxznxzmwzkwzjvzivziuzhuzgtzftzfs\ > zesydrycrybqybqyapyapy`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTg\ > uTguSfuSftRetQesQdsQdrPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJX\ > kJWjJWjIViIViIUhHUhHTgHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBL\ > ZBKYAKYAJXAJWAIV9IU9HU9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59\ > G48F48E47D37C36B36A35A259248247236135124124113012001000 > } > > >frm:field2_man {; Kerry Mitchell > ; Colors Mandelbrot set by nearest approach to > ; period 2 field lines > ; use decomp=256 > ; real(p1) = bailout (try 1e12) > ; imag(p1) = number of field line to use: 0, 1, or 2 > ; 2 iterations per pixel > ; variable zc used for calculation, z for coloring > zc=0, c=pixel, maxr=real(p1), minr=maxr, iter=1 > fieldangle=tan(imag(p1)*2*pi/3): > ; iteration > ; compare tangent of polar angle with desired > ; field line angle, update minimum if needed > iter=iter+2, zc=sqr(zc)+c, zc=sqr(zc)+c > rzc=|zc|, tanangle=imag(zc)/real(zc) > r=cabs(fieldangle-tanangle) > IF (r<minr) > minr=r > ENDIF > ; bailout > ; set "iteration done" flag (iter=-1) > ; use log of minimum difference of angles as > ; decomposition angle > IF ((rzc>maxr)||(iter>=maxit)) > iter=-1 > angle=log(minr) > z=cos(angle)+flip(sin(angle)) > ENDIF > iter>0 > ;SOURCE: 98msg.frm >} > >_________________________________________________________________ >Hotmail & Messenger. Get them on your phone now. >http://go.microsoft.com/?linkid=9724463

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Pars and Frms for April 4 blog post
by Roger Alexander 05 Apr '10

05 Apr '10

Here is the par and frm info for the fractals in my blog post demonstrating resizing and anti-aliasing if you want to try them out yourself. I've also posted the original full sized gifs -3000x2250 They're bigguns tho' -Big Blue is 5.4 MB and the Julia spiral is 3.6 MB. go to: http://maxitersfractalfollies.blogspot.com fracblu1.gif { ;Big Blue Gif ; blank ; calctime 0:00:10.66 ; created Apr 05, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=field.frm formulaname=field2_man passes=1 center-mag=-1.63351379261808400/+0.00550110730071875/304.7593/1/-140.000\ 000000001023/1.64155494752904474e-012 params=3600/1 float=y maxiter=1200 inside=0 decomp=256 periodicity=0 cyclerange=0/255 colors=00101211312412413523624724825935936A36B37C47D48E48F49F59G5AH5AI5B\ J6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAIVAJWAJXBKXBKYBLYCLZCMZCM_DN\ `DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHUhIUiIViIVjIWjJWkJXkJXlKYlKY\ mLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdrQdsResRetRftSftSgtTguThuUhuUivVi\ vVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybqybqycrydryesyeszftzgtzhuzhu\ zivzjvzkwzmwznxzpxzqyzryzuzzuzzuzzryzqyzoxznxzmwzkwzjvzivziuzhuzgtzftzfs\ zesydrycrybqybqyapyapy`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTg\ uTguSfuSftRetQesQdsQdrPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJX\ kJWjJWjIViIViIUhHUhHTgHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBL\ ZBKYAKYAJXAJWAIV9IU9HU9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59\ G48F48E47D37C36B36A35A259248247236135124124113012001000 } frm:field2_man {; Kerry Mitchell ; Colors Mandelbrot set by nearest approach to ; period 2 field lines ; use decomp=256 ; real(p1) = bailout (try 1e12) ; imag(p1) = number of field line to use: 0, 1, or 2 ; 2 iterations per pixel ; variable zc used for calculation, z for coloring zc=0, c=pixel, maxr=real(p1), minr=maxr, iter=1 fieldangle=tan(imag(p1)*2*pi/3): ; iteration ; compare tangent of polar angle with desired ; field line angle, update minimum if needed iter=iter+2, zc=sqr(zc)+c, zc=sqr(zc)+c rzc=|zc|, tanangle=imag(zc)/real(zc) r=cabs(fieldangle-tanangle) IF (r<minr) minr=r ENDIF ; bailout ; set "iteration done" flag (iter=-1) ; use log of minimum difference of angles as ; decomposition angle IF ((rzc>maxr)||(iter>=maxit)) iter=-1 angle=log(minr) z=cos(angle)+flip(sin(angle)) ENDIF iter>0 ;SOURCE: 98msg.frm } _________________________________________________________________ Hotmail & Messenger. Get them on your phone now. http://go.microsoft.com/?linkid=9724463

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Re: [Fractint] Leaves and Glass
by Hal Lane 04 Apr '10

04 Apr '10

Oops! Sorry for the extra post. I see Roger has posted the parameter file for 'Stained Glass' now. Thanks, Roger! - Hal Lane ######################### (\__/) # hallane(a)earthlink.net # (='.'=) ######################### (")_(") -----Original Message----- From: fractint-bounces(a)mailman.xmission.com [mailto:fractint-bounces@mailman.xmission.com]On Behalf Of Roger Alexander Sent: Friday, April 02, 2010 10:59 PM To: Fractint Subject: [Fractint] Leaves and Glass To Jim Muth about not letting the fractal cats wander.I agree with you 110%. Outside of the home encounters between man or beast can prove disastrous for house pets.Here's to hoping they have long,happy lives.From fractal cats to fractals here's two more fractals for you.Go to http://maxitersfractalfollies.blogspot.com to view them ready made. fract155 { ;Stained Glass ; Moody colors. ; blank ; blank ; Fractint Version 2004 PatchlevLel 9 reset=2004 type=formula formulafile=*.frm formulaname=Pc10-27 function=zero center-mag=0/0/0.6666667 params=0.5105136265144811/0.2783288064210944/-0.6186712240974152/1.67308\ 5726493118 float=y maxiter=3200 fillcolor=44 outside=atan cyclerange=0/255 colors=000302403503605707809A0BB0DC0FD0HF0JG0LH0NI0PK0RL0TM0WN1YP1_Q1aR1\ cS1eU1gV1iW1kX1mZ1o_1q`1sa1uc2x`2xX2wU2vQ2vN2uJ2tG2tC2s92r51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91iB1iD1jF1jI1kK1kM1lP1lR1mT1mW1nY1n_1ob1\ od1pf1pi2qg2nd2kb2h_2eY2bV2ZT2WQ1TN1QL1NI1JG1GD1DB1A817503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } frm: Pc10-27 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; = Pc[10] = ((2(10z-9)-1)Pc[9]-9Pc[8])/10 t=p1, bailout=real(p2), z=pixel, x=real(pixel) y=imag(pixel), h=imag(p2): newx=x-h*sin(y+tan(3*y)) newy=y-h*sin(x+tan(3*x)) x=newx, y=newy Tx=fn1((((((((((1024*x-2753216/315)*x+2375464/75)*x-900686282/14175)*x+312 488741/4050)*x-4193867/72) *x+22702079/840)*x-36713/5)*x+1055)*x-65)*x+1) Ty=fn1((((((((((1024*y-2753216/315)*y+2375464/75)*y-900686282/14175)*y+312 488741/4050)*y-4193867/72) *y+22702079/840)*y-36713/5)*y+1055)*y-65)*y+1) x=x-t*Ty, y=y+t*Tx z=x+flip(y) |z|<=bailout ;SOURCE: chby27.frm } fract273 { ; Leafy spiral ; The intersection of organic and inorganic. ; blank ; blank ; Fractint Version 2004 Patch level 9 reset=2004 type=formula formulafile=*.frm formulaname=jenn040 center-mag=+0.67514173998044950/+0.08279335071707905/501.2531/1/180 float=y maxiter=1700 inside=0 outside=tdis periodicity=25 colors=000Nn4Mn4Mn4Ln4Kn4Km4Jm4Im4Im4Hl4Gl3Gl3Fl3Fl3Ek3Dk3Dk3Ck3Bj3Bj3Aj\ 39j39i38i28i27i26i26h25h24h24h23g22g22g21g20f10f10e10e10d10c10c10b10a10a\ 10`10_10_10Z10Z10Y10X10X10W10V10V10U10T10T10S10R10R10Q10Q10P10O10O10N10M\ 10M10L10K10K10J10J10I10H10H10G10F10F10E10D10D10C11B01A00900900A00B00C00C\ 00D00E00F00F00G00H00I00J00J00K00L00M00M00N00O00P00P00Q00R00S00T00T00U00V\ 00W00W00X00Y00Z00_00_00`00a00b00b00c00d00e00f10f11f12f13g14g15g16g17h17h\ 18h19i2Ai2Bi2Ci2Dj2Ej2Fj2Fk2Gk2Hk2Ik3Jl3Kl3Ll3Mm3Nm3Nm3Om3Pn3Qn3Rn4So4To\ 4Uo4Vo4Vp4Wp4Xp4Yp4Zq4_q5`q5ar5br5br5cr5ds5es5fs5gt5ht6it6jt6ju6ku6lu6mv\ 6nv6ov6pv6qw7rw7rw7sx7tx7ux7vx7wy7xy7yy7zz8sz8rz8rz8qz8py8py8oy8ny8nx8mx\ 8mx8lx8kx7kw7jw7iw7iw7hv7gv7gv7fv7fv7eu7du7du7cu6bt6bt6at6`t6`s6_s6_s6Zs\ 6Ys6Yr6Xr6Wr5Wr5Vq5Uq5Uq5Tq5Tq5Sp5Rp5Rp5Qp5Po5Po5Oo4No4 frm: jenn040 {; Arno Jennen ;Leafy Spiral a=(exp(pixel))+(exp(pixel-1)) z=pixel-a+cotan(pixel): z=sin((z*1.34)-50) |(z)|<2000 ;SOURCE: je082701.frm } Stay in touch. Get Hotmail & Messenger on your phone.

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FOTD 05-04-10 (Resurrection Scene [9.5])
by Jim Muth 04 Apr '10

04 Apr '10

FOTD -- April 05, 2010 (Rating 9.5) Fractal visionaries and enthusiasts: Today's rather somber image rates an extraordinary 9.5. I might have rated it at a 10 if I had done more work on it. As it is, most of the colors are not mine, but were created randomly by the Fractint program in glorious 256-color GIF format. I did tweak the colors just enough however to earn a half-point bonus. The parent fractal was created by subtracting straight Z from Z^2.5 and adding straight C. This parent resembles a Mandelbrot set with three buds instead of only one bud on its west side. Today's scene is located on the south edge of the valley separat- ing the north bud from the center bud. When I first checked this area, I almost gave up. I saw no chance at all of finding minibrots or anything else very interes- ting there, but by rendering the area with the outside set to 'fmod' I did find a minibrot, and as today's image shows, quite a good one at that. The area is so full of discontinuities that instead of breaking up the image, the discontinuities help create the image. The name "Resurrection Scene" was inspired not only by what is sup- posed to have happened on the first Easter, but by the image, which has become so broken up that it has returned to life in even better form. The calculation time of 2-1/2 minutes is far more reasonable than the times of some recent FOTD images. But as always, the finished image is posted on the FOTD web site at: <http://www.Nahee.com/FOTD/> where it may be viewed instantly and without effort. Full sun and a temperature of 73F 23C made Easter Sunday a day to be remembered here at Fractal Central. The fractal cats enjoyed most of it, but would have been a bit happier with an extra treat or two of tuna. The next FOTD will be posted in 24 hours. Until then, take care, and mysteries abound on this day, the greatest of which is, "what species of rabbit lays eggs?" Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Resurrection_Scene { ; time=0:02:36.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.1607468385993725/+0.1293682960522352\ /6788710/1/55/0 params=1/2.5/-1/1/0/0/0/0 float=y maxiter=1200 inside=0 logmap=154 periodicity=6 colors=000D7PE8PF9OGAOHBNICNJDMKEMLFLMGLNHKOIKPJJQ\ KIRLHSMGTNGUOFVPEWQDXRCYSCZUB_WA`Y9a_8ba8cc7de6egQ\ feQccP`aPX_OUYORWNOUNKSMHQMEOLBML8KLHISPHZXFedElbD\ i`Dg_CeYCcXBaVB_TAYSAWQ9UP9SN8QL8OK7MI7KG6FH7II8LI\ 9OJARKBUKCWLDZLEaMFdNGgNHiOIlPJoPKrQLuSGyQLwOPvMTu\ KYsIarGeqEipCnnArz8vz6zzAszEmzIgzMazQWuUQwYKyKEzKG\ vKIsKKoKMlQOhNQeLSaJUZGWVEYS6YQC_PH`OMaNRcMWdL`eKe\ fJjhIoiHtjGykGfr_yyrx`tsaonbkjcgedc`e__dVXeWVeWTeX\ ReXPeYNeYLeYJeZHeZFe_De_Be`9e`4db7e`AfZCfzDdzDbzD`\ zDZzEXzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzGECMIIRLOWPU`\ S_eVejZkoaqtdvlGchIddJdaKeYLeVMeRNfOPfKQgHRgDSgATh\ 6Uh3Vh8XiDYjH_kM`lQbmVcn_eocfphhqliqgfkcdf_baV`XRY\ SNWNIUIEUD8U7AU8BU8CU8DU8EU8FU8GU8HU8IU8JU8KU8LU8M\ U8NU8zU8zUAzUBzUDzUEzUDzUCzUBcZAbc9ac8ac7`h6_m5Zr4\ Zv3zz2zz1zz0zz3zz6zz9zzBzzErzHuzJIz0WzFizUvzhmzfez\ dXzbPz`GzZ8zX0zW0zV0zU0zT } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Change name in the formula defn. for Tippy from "Waffle" to "waffle"
by Hal Lane 04 Apr '10

04 Apr '10

Jay, Thanks for the PARs & formula for Tippy, Skorpio, Arachnoid and Labster. I had to change the name in the formula definition from "Waffle" to "waffle" to get my version of Fractint to match it to the "waffle" in the parameter lists. - Hal Lane ######################### (\__/) # hallane(a)earthlink.net # (='.'=) ######################### (")_(")

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FOTD 04-04-10 (Bright Holiday [7.5])
by Jim Muth 03 Apr '10

03 Apr '10

FOTD -- April 04, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is named "Bright Holiday", a very appropriate name. Today is Easter Sunday, and in Russia the popular name for Easter is 'Bright Holiday'. The colors of the image are very bright, so I decided to take full advantage of the coincidental situation?' The parent fractal is a wonder to behold. In fact, it's a wonder how it can be called a fractal at all. This parent is nothing more than a narrow straight vertical stick with buds along its edges. It came about when I subtracted plain Z from two parts of Z^2 then added (1/C). The scene is located in a kind of seahorse-tail associated with a bud on the eastern edge of the northern branch of the parent stick. The seahorse theme permeates the image, with curly tails beyond counting. The tiny minibrot at the center is a bit mis-shapen in the SF5 image, though at higher resolution it quickly shapes up. The rating of a 7-1/5 includes 1/2 point for the extra coloring work. The calculation time of just under 9 minutes is on the slow side, so why not save the effort and take a virtual trip to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Today is Easter Sunday. I am not a believer in resurrecting gods, but I am not a totally disbelieving Atheist either. My opinion is that something must have happened a couple thousand years ago because a religion certainly did get started. I'll leave it to the scholars and philosophers to argue exactly what did take place back then. Rather hazy skies dimmed the sun slightly here at Fractal Central on Saturday, but the temperature of 75F 24C made up for any solar weakness. The fractal cats must have thought it was a perfect day, for they were on their best behavior all afternoon. The next FOTD will be posted in 24 hours. Until then, take care in whatever way you can, and look on the bright side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bright_Holiday { ; time=0:08:51.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.7880878839407799/+15.13423460949373/\ 4.659745e+011/1/-84.5/0 params=2/2/-1/1/0/0/0/0 float=y maxiter=5200 inside=0 logmap=650 periodicity=6 mathtolerance=0.05/1 colors=0000dJ2dO4dU4dX6db9deBdkDdqGdtJdzJfzLhzOjzR\ lzUnzXpz_rzWtzOvzDwz4xv0yr0zm0zh0zc0zh0zm0zr0zv0zz\ 0zz2zz9zzJzzRzzbzwkzqhzkezebz__zXXwUUtUOrULqUGqUOq\ 9cqUhqqmqzrqzvqzzqzvqzrqvpqrmqmkqhqqczqZzqUztKzw6z\ wDzt9zq4zn0zk0wh0we0wb0w_4wX6zU9zRBzOBzLDzJGzGJzDJ\ zBOz9Rz6Xz4_z4bz6hz6kw9nqBtnDwhGzbJzXLzULzXOz_OzbO\ wbOteOqhOkhOhkOenO_nRXqRRtROtRLwRGzRDzRBzR6zR4zR2z\ O0wO0tL0qL0nJ0kJ0eG0bG0_D0XD0UB0RB0LB0J90G90D60B60\ 9404402200200000000000402924D69JDBOLGRRJX_ObeRhnXn\ wbtzewzkzznzztzzwzzwzzwzzwzzqzzhtzbkzX_zOOzJDzD6wB\ Bq9Gk6Le4R_2XX0bR0hL0nG0tB0z60z2z0q0z00z40z90zB0wG\ k0000O00U06X0Jb0_e6nkDznLzqRzhXzbbzXezRkzLqzGtzBzz\ 6zz2zz0zz0zz0zz0zz0zz0zz0zz0qz0hzz_zzRzzJzzBzz4zz0\ zz0zz0zz0zz0zzzzzzz0zz2zz2zz4tz4zz6zz6zz6zzBzzGzzL\ zzRqzXhzbXzhOznGzt9zw0zq0zk0ze0zb0zk0zq6zzGzzRzz_z\ zezzkzzqzzwzznznhzbbzOUzD } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Leaves and Glass
by Roger Alexander 02 Apr '10

02 Apr '10

To Jim Muth about not letting the fractal cats wander.I agree with you 110%. Outside of the home encounters between man or beast can prove disastrous for house pets.Here's to hoping they have long,happy lives.From fractal cats to fractals here's two more fractals for you.Go to http://maxitersfractalfollies.blogspot.com to view them ready made. fract155 { ;Stained Glass ; Moody colors. ; blank ; blank ; Fractint Version 2004 PatchlevLel 9 reset=2004 type=formula formulafile=*.frm formulaname=Pc10-27 function=zero center-mag=0/0/0.6666667 params=0.5105136265144811/0.2783288064210944/-0.6186712240974152/1.67308\ 5726493118 float=y maxiter=3200 fillcolor=44 outside=atan cyclerange=0/255 colors=000302403503605707809A0BB0DC0FD0HF0JG0LH0NI0PK0RL0TM0WN1YP1_Q1aR1\ cS1eU1gV1iW1kX1mZ1o_1q`1sa1uc2x`2xX2wU2vQ2vN2uJ2tG2tC2s92r51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91iB1iD1jF1jI1kK1kM1lP1lR1mT1mW1nY1n_1ob1\ od1pf1pi2qg2nd2kb2h_2eY2bV2ZT2WQ1TN1QL1NI1JG1GD1DB1A817503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } frm: Pc10-27 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; = Pc[10] = ((2(10z-9)-1)Pc[9]-9Pc[8])/10 t=p1, bailout=real(p2), z=pixel, x=real(pixel) y=imag(pixel), h=imag(p2): newx=x-h*sin(y+tan(3*y)) newy=y-h*sin(x+tan(3*x)) x=newx, y=newy Tx=fn1((((((((((1024*x-2753216/315)*x+2375464/75)*x-900686282/14175)*x+312488741/4050)*x-4193867/72) *x+22702079/840)*x-36713/5)*x+1055)*x-65)*x+1) Ty=fn1((((((((((1024*y-2753216/315)*y+2375464/75)*y-900686282/14175)*y+312488741/4050)*y-4193867/72) *y+22702079/840)*y-36713/5)*y+1055)*y-65)*y+1) x=x-t*Ty, y=y+t*Tx z=x+flip(y) |z|<=bailout ;SOURCE: chby27.frm } fract273 { ; Leafy spiral ; The intersection of organic and inorganic. ; blank ; blank ; Fractint Version 2004 Patch level 9 reset=2004 type=formula formulafile=*.frm formulaname=jenn040 center-mag=+0.67514173998044950/+0.08279335071707905/501.2531/1/180 float=y maxiter=1700 inside=0 outside=tdis periodicity=25 colors=000Nn4Mn4Mn4Ln4Kn4Km4Jm4Im4Im4Hl4Gl3Gl3Fl3Fl3Ek3Dk3Dk3Ck3Bj3Bj3Aj\ 39j39i38i28i27i26i26h25h24h24h23g22g22g21g20f10f10e10e10d10c10c10b10a10a\ 10`10_10_10Z10Z10Y10X10X10W10V10V10U10T10T10S10R10R10Q10Q10P10O10O10N10M\ 10M10L10K10K10J10J10I10H10H10G10F10F10E10D10D10C11B01A00900900A00B00C00C\ 00D00E00F00F00G00H00I00J00J00K00L00M00M00N00O00P00P00Q00R00S00T00T00U00V\ 00W00W00X00Y00Z00_00_00`00a00b00b00c00d00e00f10f11f12f13g14g15g16g17h17h\ 18h19i2Ai2Bi2Ci2Dj2Ej2Fj2Fk2Gk2Hk2Ik3Jl3Kl3Ll3Mm3Nm3Nm3Om3Pn3Qn3Rn4So4To\ 4Uo4Vo4Vp4Wp4Xp4Yp4Zq4_q5`q5ar5br5br5cr5ds5es5fs5gt5ht6it6jt6ju6ku6lu6mv\ 6nv6ov6pv6qw7rw7rw7sx7tx7ux7vx7wy7xy7yy7zz8sz8rz8rz8qz8py8py8oy8ny8nx8mx\ 8mx8lx8kx7kw7jw7iw7iw7hv7gv7gv7fv7fv7eu7du7du7cu6bt6bt6at6`t6`s6_s6_s6Zs\ 6Ys6Yr6Xr6Wr5Wr5Vq5Uq5Uq5Tq5Tq5Sp5Rp5Rp5Qp5Po5Po5Oo4No4 frm: jenn040 {; Arno Jennen ;Leafy Spiral a=(exp(pixel))+(exp(pixel-1)) z=pixel-a+cotan(pixel): z=sin((z*1.34)-50) |(z)|<2000 ;SOURCE: je082701.frm } _________________________________________________________________ Hotmail & Messenger. Get them on your phone now. http://go.microsoft.com/?linkid=9724463

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FOTD 03-04-10 (Zexpe From Behind [7])
by Jim Muth 02 Apr '10

02 Apr '10

FOTD -- April 03, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the minus Zexpe fractal. This is not the (+Z)^(-e)+C fractal, but the (-Z)^(+e)+C fractal. The minus before the iterated Z makes a big difference. The resulting parent fractal is totally changed, since the (-Z)^3+C Mandeloid, which is close to the minus Zexpe fractal, is rotated 90 degrees. Today's image lies in one of the two East Valleys of the parent, rather deep in a star that terminates the filament of one of the 1.5-elephant radicals. I rated the image at a 7 because that's what I think it is worth. The name "Zexpe From Behind" indicates that we are approaching iterated Z from the opposite direction. The calculation time of 12-3/4 minutes is admittedly slow, so why not listen to a song or two while the computer does all the calculating work. For instant gratification, the finished image is available on the FOTD web site at: <http://www.Nahee.com/FOTD/> The weather here at Fractal Central on Friday was superb, with cloudless skies, a temperature of 81F 27C, intelligent conversa- tion and contented cats. The next FOTD will be posted in 24 hours. Until then, take care, and neither a believer nor a disbeliever be. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_From_Behind { ; time=0:12:45.28-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 logmap=1752 center-mag=+0.09128980939558221/+0.355637462249730\ 6/4.365632e+010/1/-25/0 params=0/0/0/0/0/0/0/0/\ 2.71828182845905/0 float=y maxiter=8000 inside=0 colors=000JKHMLCONDQPESRFUTGWVHYXI_ZJa`KcbLedMgfNi\ hOkjPmlQnnRahhQczOdxMdvKdtIdrHdpFdnDelBejAeh8ef6ed\ 4eb1cj3e`5gS7iJ7l69kABjDCiGEhJGgMHfPJeSLdVMcYOb`Qa\ cT_eR`fQagPbgNchMchLdiJejIfjHgkHglGgkF``FURENGEG6G\ I8HJAIKCKMELNFMOHOQJPRLQSMSUOTVQUWSWVRVXTUYUT_VT`W\ SbXRcYQeZPg`Qf_ReZRdYScXSbWTaVU`UU_TVZSVYRWXQWWQWW\ QYVO_VN`VMbVLdVKeVIgVHhVGjVFlVEmVCoVBqVArV9tV8uV7p\ YEl_LgbScdZ_feVilRksNmyPhuRdqS`mUXiVTeXPaZLY_NUaPQ\ bRMcTI`VEYXHVZKS`9PcMMcZMakMblMcmOcqPdnPekQfhQgeRh\ bRi_SjXSjUUkRZlOcmLhnImoFrpCvpAzqDzqGvqIrqLmqOhqQc\ qTZoWUmYPl`KkcFjeBihAhj9gl9fm8eo8dp7cr7as6_u6Yv4Ww\ 6UwESnLQfSOZZMRZEHcJJeMKiPMjSNlWOnZQpaRqdSreQqdRqd\ SqcTpcUzBCzQFzXFfBEVCDJDCcDcczfcsjclmceqcZt`cpZhmW\ ljUqgSudLviFvn9vs3vw3sl3qb3oScmImnHzoGzpGzqFzrEzsE\ ztGzuHzvJzwKzxLzyNzzOzzPzz3mzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzz } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 02-04-10 (Mandelbrot Scene [7])
by Jim Muth 02 Apr '10

02 Apr '10

FOTD -- April 02, 2010 (Rating 7) Fractal visionaries and enthusiasts: There is not much to be said about today's image, which takes a full half-hour to calculate even on my fireball 2000mhz machine. It's a very deep scene, showing a minibrot on a filament extending from a larger minibrot on a larger filament extending from the southwest shore line of the third bud out the negative X-axis of the M-set. The rating of a 7 was largely earned by the extreme magnitude. The name "Mandelbrot Scene" is a simple description. The magnitude demands arbitrary precision math, which makes the image a very slow one. I leave it to the individual fractal fan to decide whether the result is worth the effort. By far the best way to view the image is to view it in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> An almost summer-like day prevailed here at Fractal Central on Thursday, with totally cloud-free skies. The temperature of 79F 26C kept the fractal cats content, despite the fact that the afternoon sun is now getting higher in the sky and no longer covers their entire window shelf. Actually, I feel a bit sorry for the new fractal cats, who unlike the old fractal cats did for so many years, do not get to go outside and explore a holly thicket. (We have no thicket at New FC.) But the new guys are happy enough indoors, and with traffic, hawks, coyotes, black bears, feral cats, etc. in the area, they are much safer not going outside. The next FOTD will be posted in 24 hours. Until then, take care, and it's never as good or bad as it seems. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Scene { ; time=0:29:38.88-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.4009501930544\ 5292547/-0.005880802861106260489/7.167417e+015/1/\ 155/0 params=0/0 float=y maxiter=6400 inside=0 logmap=1166 periodicity=6 mathtolerance=0.05/0 colors=000iLSiLVhNYhO_gPbgQdfRgfSieTleUndVqdWscXvc\ YxeZvg_ui`tkaslbrncqpcprdosenufmwglyhkzhjxggwgeugb\ tg`rgYqgWpgUqeSrcRsbQt`PuZOuYMvWLwUKxTJyRIyQHtRJpS\ KlTLhUMdVN`WOXXPTYQPZRL_SH`TD`UGYRJWPMUMPSKSQIVOFY\ MDZKAZI8ZG6ZIAZKEZMIZOLYPPXRTWTWVV_UWcUYfU_jUanUbq\ UaoUanU`lU`kU`jYXc`TXePQjLJoHDlKGiMIhOKgRNgTPfVReY\ Ue_WdaYdd`cfbbhdbkgamiaokbpgbpccp`cpXdpUdpQepMepJf\ pFfpCgp8gp5F1iI7kLDlOJmRPnTVoW`qZfralsdrtfwucuoasi\ _rcYpYVoSTmMRlGPjANi5Oh7Og9OfAPeCPeEPdFQcHQbJQaKRa\ MR`OR_PVZRZYTcYUh_SmaRrcQvePzgOziNzkMzmLzlJylIxkHw\ kFvkEumDtoCtqAss9ru8rw7jx8by8Wm9OT9HP9IUCIYFJaIJfL\ KjOKnRKrUIoWHlYFiZEf`DdbBacAZe9Wg7Th6Rj5Ol3Lm2Io1G\ p6MqARrEWsJasNftRkucpucjccbbcWacO_dHYeLVfOTgRRhOTi\ MVjKWkH_lFbmDfoBiq8mt6pw4tz2wz6tzArzDozHmzLkzOhzSf\ zVdzZ`vaXrdTmhPhkLanH_qDYtFYwGWzHUzJSzKQzLOzNNzOLz\ PJzRHzSFzTDzVBzW9zX8zYAzW } END PARAMETER FILE=========================================

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Details and Initorbit
by Roger Alexander 01 Apr '10

01 Apr '10

Another Oops! In my post Paul N.Lee's Questions and Oops! there is a poorly worded sentence. What reads "The Disk/RAM entries in fractint.cfg can be edited in Notepad to provide custom resolutions.I copied some lines from the default Fractint.cfg as an example.The new cfg file must be saved in the old txt format. " should read "The Disk/RAM entries in fractint.cfg can be edited in Notepad to provide custom resolutions.I copied some lines from the default Fractint.cfg as an example.The new cfg file must be saved in the ANSI text format with the "cfg" extension (without the quotation marks)" Why do I notice these things only after I post something? Today's fractals demonstrate the initorbit command. Press the G key which brings up the interactive startup parameter screen to enter values.These instructions were taken from the Fractint manual. "Enter values in the form INITORBIT=pixel INITORBIT=nnn/nnn Allows control over the value used to begin each Mandelbrot-type orbit. "initorbit=pixel" is the default for most types; this commandi initializes the orbit to the complex number corresponding to the screen pixel. The command "initorbit=nnn/nnn" uses the entered value as the initializer." I start with values between +.5 and -.5, initorbit=pixel resets to default behaviour This command appears to work on built in mandel formulas only, Julias are unchanged.The included pars are of a mandel and a mandellamda. fract011.gif { ; initorbit - mandellambda ; new ; calctime 0:16:30.44 ; created Apr 01, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandellambda center-mag=+0.82893757196495510/-0.59898823372287160/323.1126 params=0/0 initorbit=0.9/-0.8 float=y maxiter=1500 inside=0 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } fract013.gif { ; Mutant Mandelbrot ; initorbit shenanigans - new ; calctime 0:24:22.43 ; created Apr 01, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=+0.24889822951726230/+0.56666319333201880/1821.096/1/-17.4999\ 999999968807/-2.98933794384836915e-012 params=0.9977416302987762/-0.5942258980071413 initorbit=-0.6/0.5 float=y maxiter=1500 inside=0 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\P 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } The completed fractals are on my blog at http://maxitersfractalfollies.blogspot.com/ _________________________________________________________________ IM on the go with Messenger on your phone http://go.microsoft.com/?linkid=9712960

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Paul N. Lee's Questions and Oops!
by Roger Alexander 01 Apr '10

01 Apr '10

First the Oops!I forgot to enter anything in the subject line in my last post and I might have made a mess of things.Hope this rectifies the situation. Some replies to Paul N. Lee's questions about running Fractint under DOSBox and Vista.Hopefully this information will be helpful to other mailing list members. To begin with DOSBox is an emulator that allows old DOS games and applications to run under modern OS's like XP and Vista.Go to http://www.dosbox.com/ to learn more and download both DOSBox and D-Fend Reloaded.I use the latest versions- version 0.73 for DOSBox and version 0.9.3 for D-Fend Reloaded. DOSBox itself uses a command line -it looks like old DOS.D-Fend Reloaded provides a familiar graphical interface to simplfy configuring DOSBox.To get the maximum speed when setting up D-Fend Reloaded I choose Max under the CPU section of the hardware profile.Other values I left at their defaults.About using IrfanView (or something similar) for resizing and anti-aliasing on my blog.My blog is just starting and decided to introduce myself to the mailing list members first.I figure if you suscribe to the mailing list you are interested making fractals so I posted the Fractint generated gifs with the par information intact so they could be read by Fractint and serve as a starting off point to generate new images.Which reminds me I forgot to include the formula information! Maybe I should include both original and anti-aliased graphics in my posts. Finally about large gifs.The Disk/RAM entries in fractint.cfg can be edited in Notepad to provide custom resolutions.I copied some lines from the default Fractint.cfg as an example.The new cfg file must be saved in the old txt format. AF1 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 800, 600, 2,Full-Page L-Jet @ 75DPI AF2 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 1600, 1200, 2,Full-Page L-Jet @ 150DPI AF3 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 768, 960, 2,Full-Page Epson @ 120DPI AF4 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 960, 720,256,Full-Page Paintjet 90DPI <== Edit me! AF4 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 2400, 1800,256,<== Looks like this. AF5 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 800, 600,256,For Background Fractals AF6 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 2048, 2048,256,For Background Fractals In the AF4 entry the value 960 has been changed to 2400.This is the horizontal resolution.The value 720 has been changed to 1800. This is the vertical resolution.The value 256 which is the number of colors is unchanged.Note that if either horizontal(x) or vertical(y)values are greater than 2048 Fractint plots uses the passes=1 mode.This can slow things down significantly. Hope this post was useful _________________________________________________________________ IM on the go with Messenger on your phone http://go.microsoft.com/?linkid=9712960

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(no subject)
by Roger Alexander 01 Apr '10

01 Apr '10

Some replies to Paul N. Lee's questions about running Fractint under DOSBox and Vista.Hopefully this information will be helpful to other mailing list members. To begin with DOSBox is an emulator that allows old DOS games and applications to run under modern OS's like XP and Vista.Go to http://www.dosbox.com/ to learn more and download both DOSBox and D-Fend Reloaded.I use the latest versions- version 0.73 for DOSBox and version 0.9.3 for D-Fend Reloaded. DOSBox itself uses a command line -it looks like old DOS.D-Fend Reloaded provides a familiar graphical interface to simplfy configuring DOSBox.To get the maximum speed when setting up D-Fend Reloaded I choose Max under the CPU section of the hardware profile.Other values I left at their defaults. About using IrfanView (or something similar) for resizing and anti-aliasing on my blog.My blog is just starting and decided to introduce myself to the mailing list members first.I figure if you suscribe to the mailing list you are interested making fractals so I posted the Fractint generated gifs with the par information intact so they could be read by Fractint and serve as a starting off point to generate newimages.Which reminds me I forgot to include the formula information! Maybe I should include both original and anti-aliased graphics in my posts. Finally about large gifs.The Disk/RAM entries in fractint.cfg can be edited in Notepad to provide custom resolutions.I copied some lines from the default Fractint.cfg as an example.The cfg file must be saved in the old txt format. AF1 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 800, 600, 2,Full-Page L-Jet @ 75DPI AF2 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 1600, 1200, 2,Full-Page L-Jet @ 150DPI AF3 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 768, 960, 2,Full-Page Epson @ 120DPI AF4 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 960, 720,256,Full-Page Paintjet 90DPI <== Edit me! AF4 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 2400, 1800,256,<== Looks like this. AF5 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 800, 600,256,For Background Fractals AF6 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11, 2048, 2048,256,For Background Fractals In the AF4 entry the value 960 has been changed to 2400.This is the horizontal resolution.The value 720 has been changed to 1800.This is the vertical resolution.The value 256 which is the number of colors is unchanged.Note that if either horizontal(x) or vertical(y)values are greater than 2048 Fractint plots uses the passes=1 mode.This can slow things down significantly. Hope this post was useful _________________________________________________________________ Check your Hotmail from your phone. http://go.microsoft.com/?linkid=9712957

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Fractal Cat Rainbow
by Roger Alexander 31 Mar '10

31 Mar '10

A happy rainbow mapped mandel zoom remebering Jim Muth's Fractal Cats (who I considered the unofficial mascots of the Fractint mailing list).Available as a jpg at http://maxitersfractalfollies.blogspot.com. Par below if you want to generate it yourself. Fractal Cat { ; fract009.gif ; Fractint Mailing List ; calctime 0:27:36.82 ; created Mar 31, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel passes=1 center-mag=-1.31849077820424500/-0.08650590057253091/4.672291e+010/1/57.\ 4999471824578308/0.000489382593337361893 params=0/0 float=y maxiter=7000 logmap=408 cyclerange=0/255 colors=0oz0kz0gz0dz0`z0Xz0Uz0Qz0Mz0Jz0Fz0Bz07z04z00z80zG0zO0zW0zb0zj0zr0\ zz0zz0qz0hz0_z0Rz0Iz09z00z00z40z80zC0zG0zK0zO0zS0zW0zZ0zb0zf0zj0zn0zr0zv\ 0zz0rz0jz0bz0Wz0Oz0Gz08z00z00z80zG0zO0zW0zb0zj0zr0zz0vz0rz0nz0jz0fz0bz0Z\ z0Wz0Sz0Oz0Kz0Gz0Cz08z04z0Bq2Gk5Me7S_AYUCbOFhIHnCKt6Nz0Rz0Wz0`z0dz0iz0nz\ 0sz0st0tm0ug0v`0vV0wO0xI0yB0z40v70rB0nF0jJ0eN0aR0YV0UZ0Qb0Lf0Hj0Dn09r05v\ 00z00z80zG0zO0zW0zb0zj0zr0zz0vz0rz0nz0jz0fz0bz0Zz0Wz0Sz0Oz0Kz0Gz0Cz08z04\ z00z80zG0zO0zW0zb0zj0zr0zz0zz0qz0hz0_z0Rz0Iz09z00z00z40z80zC0zG0zK0zO0zS\ 0zW0zZ0zb0zf0zj0zn0zr0zv0zz0rz0jz0bz0Wz0Oz0Gz08z00z00z80zG0zO0zW0zb0zj0z\ r0zz0vz0rz0nz0jz0fz0bz0Zz0Wz0Sz0Oz0Kz0Gz0Cz08z04z00z80zG0zO0zW0zb0zj0zr0\ zz0zz0qz0hz0_z0Rz0Iz09z00z40z80zC0zG0zK0zO0zS0zW0zZ0zb0zf0zj0zn0zr0zv0zz\ 0wz0sz0kz0cz0Wz0Oz0Gz08z00z00z90zI0zR0z_0zh0zq0zz0vz0sz } _________________________________________________________________ Live connected with Messenger on your phone http://go.microsoft.com/?linkid=9712958

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FOTD 01-04-10 (Deep Deeper Deepest [7.5])
by Jim Muth 31 Mar '10

31 Mar '10

FOTD -- April 01, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: With a rush in progress here at FC on Wednesday, I turned to the good old Mandelbrot set to produce a fractal. The fractal I quickly found lies deep in the eastern side of the northern branch of Seahorse Valley. The image is unusual in that its maxiter is an even 1,000,000, its logmap is 91500 and its magnitude is over 3*(10^13). But despite these extreme values, the scene calculates in a reason- able 6-2/3 minutes, at least on my 2000mhz machine. A slightly better resolution may be achieved by calculating the image with arbitrary precision math in effect, but this will exact a huge penalty in calculation time. (The arbitrary precision calcula- tion will take about 24 hours.) As for the appearance of the image itself, it holds nothing exceptional and rates a 7-1/2, which is above FOTD average. The name "Deep Deeper Deepest" is not an english lesson, it refers to the extreme values of the scene. To see the image, run the included parameter file and be patient for a few minutes, or go online and hurry to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the image is or soon will be posted for apocalyptic satisfaction. The outside conditions improved greatly here at Fractal Central on Wednesday as the sun broke through the clouds and the temperature soared to 70F 21C. The inside conditions also improved as the fractal cats put on their best moods. My day was acceptable, though busier than I would have preferred. The next FOTD will be posted in 24 or so hours. Until then, take care, and be of sound constitution but don't get too loud. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DeepDeeperDeepest { ; time=0:06:38.56-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.7499\ 977505574505/+0.00301634025810139/3.29352e+013/1/\ -37.70/0 params=0/0 float=y bailout=4 inside=0 maxiter=1000000 logmap=91500 mathtolerance=0.05/1 colors=000NgdJCOJ7PL8OM9NN9MOALPAKQBJRBISCHTCGUDFV\ EEWEDXFCYFBZGA_G9`H8aH7bI6cI5aK8`MB_ODZQGYSIXULWVN\ UXQTZTS`VRbYQd_PfbOgdMigLkjKmlJooIqqHstGtvJruLqtNp\ tPosRmrTlrVkqXjpZip`gobfodenfdmhcmjall`kn_kpZjrYjp\ Zin_hm_gk`fj`ehadgadebcdbbbcaac`_d_Zd_XeZWeYUfXTfW\ RgVQgVPeSPcQOaOO_MNYKNWIMUGMTENSGORIOQKPPMPOOQNQQM\ SRLURKWSJYTI_THaUGcUFeVEgVDiWCkWBlZDn`EobFpdGqfIrh\ JskKumLvoNwqOxsPyuQzrPwpOunNrlMpjLmhKkeJhcIfaHc_Ga\ YFZWEXZD_aDadDcgCfjChmCjpBmsBovBqlDjbEcTFXJGRLKVMN\ ZOQbPTfQXjS_nTbrUeuPXcLOMHG5IF7JF9KFBKECLEEMEGMDHN\ DJODLODMPCOQCQRCSRBTSBVTBXTAYMTLLOM4`H3aBA`GH`KO`P\ U`TW_PYZL_YIaXEcWAeW7gjYhywjlnl`enOXpCOr0Gn2Hk3Hh4\ Ie6Ib7J_8JO7JC6J15J7CRCIZIOfNUnS_vQWsPYzOQmNWzPUeR\ W_TYTU_NLaLDcJ5eIBgGHiFMkESmDYoCbrBhuAmw9oxVqzpszg\ uzKwzLxzMyzNzzNzz9zzKzzPzzUzzZzzczzhzzmzzrzzvzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 31-03-10 (Epsilon For Ever [6])
by Jim Muth 31 Mar '10

31 Mar '10

FOTD -- March 31, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies in the Zexpe fractal, which is the fractal created by iterating the expression Z^(e)+C. There is nothing special about the number 'epsilon' when it is applied to fractals. Any other number in the same range would have created the same kind of parent fractal. The same is true of other significant but irrational numbers such as 3.1416... 1.618... and 1.414... These numbers may be of utmost importance in certain other applications, but in the world of fractals they and their kin are just so many more irrational numbers. I named the image "Epsilon For Ever". I was trying to think of a simple way of explaining to FL the significance of the number 'e' when I thought of the name. (The definition of other irra- tional numbers such as PI, the 'golden ratio' and the square root of two is easy to explain, but saying that Epsilon is the base of the natural logarithm begs the question of why this particular irrational number was chosen or even needed when the whole number 10 is far more intuitive and works just as well as a logarithmic base. (Or does it?) 'Epsilon' will remain forever mysterious, but today's image is no mystery. It is located in the chaos on the western side of the main bay of the parent Zexpe fractal. The image actually inherits a bit too much of this chaos. In fact, it inherits so much that it lacks a coherent theme, which is why I could give it a rating no higher than a 6. The calculation time of 5-1/2 minutes is near what the image is worth. The trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image may be viewed, is a true bargain. Tuesday turned most unpleasant here at Fractal Central as morn- ing clouds gave way to steady afternoon rain. The temperature of 41F +5C was made even more unpleasant by a biting northeast wind. The fractal cats didn't even think of the sun. They satisfied themselves by asking for an extra treat. My day was average, enough said. Unless Armageddon arrives, the next FOTD will be posted in 24 hours. Until then, take care, and do soles have souls? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Epsilon_For_Ever { ; time=0:05:29.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 float=y inside=0 center-mag=-0.7150857488907461/+0.119951277709464/\ 8.4e+007/1/-115/0 params=0/0/0/0/0/0/0/0/2.7182818\ 2845905/0 maxiter=5000 logmap=500 periodicity=10 colors=000ixOiyNhyLgzKfzIezGhz9ezFczL`zRYzXWzbUzaT\ z`Sz`Rz_QzZPzZRzYTzXUzWWzVXzUYzTZzSYzUXzVXzWVzVSzU\ QzTNzSLzRJzQGzPEzOCzN9zM7zLoz7mzAkzDizFgzIJzOJzPKz\ QKzQKzRKzSLzTLzTLzUPzWSzXWSZYU_`X`d_bgbcjedmhfpkgv\ mksmhpnfmncjn`gnYdnVbnTamT_lTZjTXiTWhTVgTTfTSdTQcT\ PbTNaTM`TL_TJZTIXTGWTFUTDTTCRTCQTBOUBNUBLUBLUBJVBI\ VBGVBFVBFWBEWBDWBEWBDWBDXBCXBBXBAXB9XB8XB8YB7YB6Y5\ 2YB6YG9UMDPRGL`KGkNCuR7zT1zW3wY4r_6l`7eb9dcBceCafE\ `gFZhGYiIWjJVmLRoMUqOcsPmvRwxSzzUyzVxzWxxTwwQwuNws\ LwpIvnFVZfVZiWYlWYpWXsWXvXYtXYrXYpYYoYYmYZkZZjZZhZ\ Zf_Ze__c__a`_``_Z`_X`_WcbYed_gf`ihbkjdmlepqpzzztrw\ vtlzyqzxovvlrtjoshkqfgoddnb`l`XjYUiWQgUMeSJdQFbOBz\ M8_K7ZJ7YJ6XI6WI6VI5UH5TH4SG4RG4QG3PF3OF3OF8QJDRNH\ SRMTVQUYVVaZWecXigYlXUbMQTBNJFKKILKLLKOKKRPKUUKYZL\ `cLehLimLrrLzvLzzLzzOzzRzzUzzXzz_zzbzzezzhzzkzznzz\ jzzfzzczz_zzXzzTzzQzzSzzQ } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Yeehah! I got Fractint working in Vist...
by Roger Alexander 31 Mar '10

31 Mar '10

Yeehah! I got Fractint working in Vista under dosbox with lots of help from D-Fend Reloaded. Go to http://maxitersfractalfollies.blogspot.com to see a sample fractal. Her's the par fract001.gif { ; Volcanic Lace ; firey ; calctime 0:05:28.18 ; created Mar 29, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_c.frm formulaname=complexnewton_01 passes=1 center-mag=0.585056/1.21469/4.219409 params=13/5 float=y maxiter=1000 inside=0 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } ;ComplexNewton_01 {; Jon Horner (ex-CAL) [ not sure about this one ] ; ; modified by Jo Weber, 6/1996 ; ; modified by Sylvie Gallet, runs 40% faster ; pr = 1/p1, pm1 = 1-pr, pm2 = 1-p1, z = pixel : ;oldz = z ; z = pm1 * z + pr * z^pm2 ; |(z-oldz)|>=0.000001 ;SOURCE: jowe29.frm ;} _________________________________________________________________ Take your contacts everywhere http://go.microsoft.com/?linkid=9712959

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FOTD 30-03-10 (Emerald Enterprise [7])
by Jim Muth 30 Mar '10

30 Mar '10

FOTD -- March 30, 2010 (Rating 7) Fractal visionaries and enthusiasts: The expression behind today's image combines 1.5 negative parts of Z^(-0.75) with 0.4 negative part of Z^(1.4), then adds straight C. The parent fractal consists of an oblong main bay with sharp Mandelbrot characteristics only on its east side and patches of chaos scattered about its inside. The whole fractal has filaments sprouting from it, with exceptionally large minibrots on the two most prominent filaments, which sprout from the northwest and southwest sides of the main bay. Today's image is located in a vague 'elephant trunk' in the East Valley area of the southwest minibrot. The rating of a 7 means the image is comfortably within the range worthy of being declared FOTD. The name "Emerald Enterprise" refers to the emerald colors, which to me actually appear a bit washed out. The rather slow calculation time of 13-1/2 minutes may be bypassed by tripping out to the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the image in all its subdued glory there. The dry but cloudy skies here at Fractal Central on Monday held enough bright patches to make the day not too unpleasant. The temperature of 59F 15C kept things reasonably comfortable. The fractal cats, who enjoy comfort, spent the afternoon on their shelf, waiting for the full sun to break through. It never did. My day was totally average. The work is slow and FL is still on a cleaning binge. The next FOTD will be posted in its full glory in 24 hours. Until then, take care, and how long will it be until the friendly alien visitors show that they are actually alien conquerors? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Emerald_Enterprise { ; time=0:13:29.60-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-5.433119641201442/-10.57593444927423/\ 5e+007/1/-45/0 params=-1.5/-0.75/-0.4/1.4/0/500/0/0 maxiter=15000 inside=0 logmap=742 periodicity=6 colors=000BTLBTwBTVBVoBXc6Zh0Zk0Zo0Zm0Zm8ZmFZmMZkT\ ZkVZoaZmdZcdX`cXXcWTaVQaXL`TF`U9ZV4ZS0TT0QQ0MT0IT0\ FQ0BS08T04T00T00T10S80QB0SB0VD0XF0VH0VI0VL4VMBVMIV\ LQVIXTHcTFjTFpTDwTBzT9zT9zX4rZ0j`0aa0Vc0MTFDId69z1\ Hy0Ou0Tp0`m0fh0kd0r`0yX0zS0zO0zL0zO0zS0zV0zZ0za1zd\ 6zh8zkBzoDzrHzuLzyMzzQzzSzzOzzMztIyoHwhDucBtX8rS6p\ L1oF0m80k18j4Fh6Of8Vd8ScDQaHM`LLZOHZSFZVDZZ9Za8Zd4\ Zh1Zk0Zo0Zk0Zh0Zf0Zc0Z`0ZZ0ZV0ZS0ZQ0ZM0ZI0ZH0ZO0ZV\ 8faLohnwoszuyzzrzzlzrfzaGwM0o90fD0ZB0SH0XM0`VAccFf\ kKktPozUrzZuzcyzhzzmzzhzzczzZzzUuzPqzKlz0jt0ck0Zc0\ U`0Pa9SdHUfOZjXakcaojapddo`hmXkmSokOpkItjDwh9zh4zf\ 0zfDzhOzj`zkjzmfofcZ``IVX0OT0IX0L`0Mc0Of0Qj0Sm0Tp0\ Vt0Xw0Zz0`z0az0cz0dz0fz0cy6`rDZmzzzzT`zzzzOOzzzzI9\ zzzzD0zzzz80zzzz10zzzz00zzzz08z0Fz0Lz0Sz0Xz0az0hz0\ mz0rz0cz1OzD8zO0zZ0zhOzfzzfwzZpzSjzIczBXz1Qz0Iz0Bz\ 08z06z01z00z60z0zzIzzHzzO } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 29-03-10 (On the Run [6])
by Jim Muth 30 Mar '10

30 Mar '10

FOTD -- March 29, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's discussion will be short. Why? This evening I'm simply not in the mood to write. Maybe it's a minor case of writer's block. The image, for what it's worth, is a scene in a filament extend- ing from the Seahorse Valley area of the large minibrot on the main stem of the very large minibrot on the main stem of the even larger Mandelbrot set. The rating of a 6 guarantees at least a bit of satisfaction. The name "On the Run" means little or nothing. The calculation time of 9/10 of one second is an estimate. Actually, the image, which is faster than light, finishes before the screen can switch to VESA super-VGA mode. To avoid traveling into the past, I recommend viewing the image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy morning clouds followed by afternoon rain left a lot to be desired here at Fractal Central on Sunday. The temperature of 43F +6C was no help at all. The fractal cats showed their dis- pleasure by getting into a spat. It's too bad that the new cats have no holly patch in which to have outdoor adventures. My day was average, while FL got the clean-up bug. The next in the series of FOTD images will be posted in 24 hours. Until then, take care, and watch with interest. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= On_the_Run { ; time=0:00:00.90-SF5 on P4-2000 reset=2004 type=mandel float=y inside=0 center-mag=-1.786137372470943/+0.00010574562889685\ /2e+011/1/-150/0 params=0/0 maxiter=4000 bailout=9 logmap=284 periodicity=10 mathtolerance=0.05/1 colors=000cAkbAhaAe`Ab_A_ZAXVAUQANL8F747HNCEJABF88\ B6574232L7TA3EyO4pK3gH2ZD2QA1H61830ByJ9qG8iE6aB5V9\ 4N72F4172JdZEUQ9KH4A8lIPO9CZ3aU2WP2RK1LF1GA0A505G9\ kE7eC6_A5U84O63I42C216UfjKSVAEF4Wr3Rj2Mb2IV1DN19F0\ 47IyZ8Ts6Ok5Kc4GW3CO28G14878_34IgcX`YSVSNPMIIHECB9\ 654LR3OpKLrKItLGuLQoOZrQgtSpzUtzFxu1ggBRULAHV8ER7C\ N6AJ58F36B247804123AC08A0680560340120UFtPCkLAcH8WC\ 6O84G428saKkWHcREWLBOG8GA5852eJAVE7L95A424gr3Xd2MR\ 1BDwEJmBFc9CU79K46A23AJp59QZ86N54B228Bu57a23JEN2BJ\ 19F17B1470230JgrGBrgoyBlf7WS3GEy3w4Ik2CW16GAaW8XS7\ SO6NK5JG3EC298144U8uP6kK5aF4TA2J519oceYQSHDEzA`V5I\ vcVgUNTKFEA7SCROANL9KH7GE6DA4A7363zzOzzCzzezzVzzLz\ zAzz9zzzzEzz9zz4zzmzzfzz`zzVzzPzzIzzCzz6zzCzzAzz8z\ z6zz5zz3zz1zzSzzazzPzzCzzHzz8XzXGzGyzmnzddzXVzPKzG\ Az89zB7zn5ze4zY3zP2zH1z8UzJMzEFz97z4jzT`zNSzHIzB9z\ 5GztCzh9zY6zM3zB4zn3zf2z_ } END PARAMETER FILE=========================================

2 1

FOTD 28-03-10 (On the Spot [7])
by Jim Muth 27 Mar '10

27 Mar '10

FOTD -- March 28, 2010 (Rating 7) Fractal visionaries and enthusiasts: An unexpected antiquing expedition did happen on Saturday, but it was a relatively short trip that took little time from the fractal business. The fractal search itself was a very short one. To create the parent fractal I combined 2 negative parts of Z^(0.75) with 2 negative parts of Z^(-0.75). The resulting parent fractal resembles nothing as much as a potato lying on its side with 2 huge ears gracing its top and bottom. Today's scene lies on the north shore of the main bay, and not in either of the ears. Actually, the image is another blast from the past, virtually unchanged. I'll not reveal the date of its earlier appearance, because I forgot to make a note of it. I named today's image "On the Spot" because it needed a name. The name has nothing to do with the actual appearance of the image. The rating of a 7 is what I think the image is worth. The calculation time of 1-1/2 minutes is about FOTD average. Calculation may be avoided entirely by viewing the already- calculated, finished image in the FOTD web site at: <http://www.Nahee.com/FOTD/> The sun was strong here at Fractal Central on Friday, but the day began with a temperature of 23F -5C and rose only to 46F +8C in the afternoon. The fractal cats made the most of the sun and ignored the draft from the window. There is a 97-percent chance that the next FOTD will be posted in 24 hours. Until then, take care, and always know the position of all your parts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= On_the_Spot { ; time=0:01:33.36-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.171483246550152/+0.0527654287897625/\ 9.8e+008/1/-17.5/0 params=-2/0.75/-2/-0.75/0/0/0/0 maxiter=1000 inside=0 logmap=164 periodicity=10 colors=000UDlVCmWCnWCpXBqYBrZBs_Au`AvaAwaAx_9vY9uW\ 8sU8rS7pQ7oP6mN6lL5jJ5iH4hF4fD3eC3cA2b82`61_41Y20X\ 10W53U85SC7Q09OJBMADL0FJAHH00FzZDqYBwXAoWCtVEnTGqT\ ImSKnSMkSOkTPjTRkUTkUVkUXlVZlV`mWbmWcnXenXgnXioYko\ YmpZopZqpZplXokWtdVk`UpYSgUReQQcMP`IOZFMXBLV7KT3JR\ 0IP3KN6MM9OLCPJFRIITHLVFOWERYDU_BXaA_b9bm7ez6hz5kz\ 3nw2qw1sw0rw3rw6qu8quBpsDpsGopIopLnnNnnQnlSmkVmkYl\ k_lkbkkdkjgjjijjlijnijqijshithhthgthgthftgetgetgdt\ gctgcti_ojWkkTgmPcnL_oIVpERrANs7Jt3Fu0Bs2Dr3Fq4Gp6\ In7Km8LlANkBPjCQiDSiEUiFViGXiGYiH_iI`iJbiJciKeiLfi\ MhiMifOfdPcbQ``RYZSVXTSVUPTVNQXKOYHMZEK_BI`8Ga5Eb2\ Cc0GZ4JV7MQAPMDTHGWDJZ8Ma4Pd0Se3Rf5Rg7Qg9QhCPiEPiG\ OjIOkLNkNNlPMmRMmULnWLoYKo_KqVMrPOsOPtQRvSTwUUxWWy\ YXz_VzaUzcSzeRzgPziOzjNzkLzlKzmIzmHzmFzmEzmDzmBzmA\ zm8zm7zm6zm7zm8zm9zmAzmBzmCzmCzmDzmEzmFzmGzmHzmHzm\ FzmEzmDzmCzmBzm9zm8zm7zm6 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 25-03-10 (Window of Opportunuty [6])
by Jim Muth 27 Mar '10

27 Mar '10

At 10:38 AM 3/25/10 +0000, brewhaha wrote: > >And if you allow that birds navigate with the earth's >magnetic field then eight [human senses}? I guess that means we have nine senses, since humans can vaguely detect the polarization of light. Check: <http://polarization.com/haidinger/haidinger.html> Jim, the cross-eyed

5 4

FOTD 25-03-10 (Window of Opportunuty [6])
by Jim Muth 27 Mar '10

27 Mar '10

FOTD -- March 25, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a near-Julia set of the valley leading to the period-3 bud on the northeast shore line of the (-Z)^(1.5)+C Mandeloid. The valley itself, or a tiny blown-up part of it, is visible as the fuzzy, light blue, gently curved wedge in the background. The image rates a 6 because of the curious things going on with the 3-armed spirals in he upper part of the image. The name "Window of Opportunity" must have had a reason behind it, but if so, I have long since forgotten it. The calculation time of 4-2/3 minutes is rather slow. The slowness may be bypassed entirely by tripping out to the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image there. Lots of sun and a pleasant temperature of 63F 17C made Wednesday feel like spring here at Fractal Central. The fractal cats, not worried about outside air temperature, spent most of the after- noon on their sunny window shelf. My day was busy, but much better than Tuesday. The next FOTD is due in 24 hours. I'll give an 87-1/2-percent chance that it will make it. Until next time, take care, and rational skeptics fear that the world we observe with our five senses (the physical universe) might be but an infinitesimal part of the totality of existence. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Window_of_Opportun { ; time=0:04:42.83-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 symmetry=none center-mag=0.230412/0.106481/0.9114441/1/70/0 params=88/0/88/75/0.586/0.327/0/0/1.5/0 float=y maxiter=6400 inside=0 logmap=2 periodicity=6 colors=000MCCODDQEESFFUGGWHKYIM_JOaKQcKSeKUgKWiKYk\ KYlKWnJUpKWrLYtMYvNYxOWyPUvQPsRKoSFkTAiUAkWClYEn_G\ oaIqbKrcMtdOudQraRpZRnWRkXPhXOfXNcXM`XLZXKWXJTXHRX\ GOXFLYEJZDG_CD`BBaAGbAKcAMdOMeNLfMKgMJhLIiKHjKGkJG\ lIFmIEnHDoGCpGBqFArEAsEBtFCuFDvFEwFFxFGyJIzFKzGOzG\ QzGSzGUzGWzGYzH_zHazHczHdzHezHfzIgzIhzIizIjzIkzIlz\ JmzJnzJozJpzJqzJrzVszUtzUuzUtzTtzTszTszTrzSrzSqzSq\ ySpxRowRovRnuQntQmsQmrQlqPlpPkoPknPjmOilOikOhkNhjN\ gjNgjNfjMfiMeiMeiMdiLciLchLbhKbhKahKagK`gJ`gJ_gJgv\ mftmermdpmcnmblmajm`hmNBmPEmQHmRKmSNmTQmVTmWWmXZmY\ amZdmKwmOsmRpmUmmXjm4zm8xmBvmEtmHrmKpzOnzRlzUjzXhz\ gPzfQzfRzfRzeSzeTzeTzeUzdVzdVzdWzdWzcXzcYzcYzcZzb_\ zb_zb`zaazaazabzabz`cz`dz`dz`ez_fz_fz_gzWHzXOzYVzZ\ azeyzdwzcuzcszbqzaozamz`kz_izXazYbzYbzYbzYczYczYcz\ ZdzZdzZdzZezZezZez_fz_fz_fz_gzXgzUjzVizVizVizVizWi\ zWizWizWizXhzXhzXhzXhzYhz } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

4 3

FOTD 27-03-10 (Deep Meditation [6])
by Jim Muth 26 Mar '10

26 Mar '10

FOTD -- March 27, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's rather colorful image lies in the parent fractal that results when 10 parts of Z^(0.1) are combined with 0.1 part of Z^(10) and (1/C) is added. This parent is nothing more than an arc of a circle with a tiny dot lying just outside the arc. A closer examination of this dot shows it to be a full-blown but tiny Mandelbrot set in rather shredded condition. Today's scene is located in the East Valley of this tiny M-set. I named the image "Deep Meditation", not because I practice yoga but because I had to meditate on the past to come up with the image. The meditation must have worked, for the image does exist and the parameter file of the image is included at the end of this discussion. Actually, the image is a minor reworking of an older one. Curiously, whenever I return to the older FOTD images, I almost always find ways I could have done them better. The rating of a 6 indicates that the image is a little above the long-term FOTD average. The calculation time of one minute means little effort will need to be expended to view the image. Or better still, the image may be seen without any calculation by viewing it in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> Lots of sun prevailed here at Fractal central on Friday, but a brisk north wind and temperature of 36F +2C made it feel more like midwinter than early spring. The new fractal cats, who, unlike the original fractal cats, have no holly patch to romp in, enjoyed the sun on their shelf by the window and didn't worry about the outside temperature. My day was average. FL was wondering when our privately- purchased health insurance will become less expensive. (I have not yet told her the bad news, though I think she already knows it.) Unless an antiquing expedition arises, the next FOTD will be posted in 24 hours. Until then, take care, and it's nice to see our country living in peace, brotherhood and harmony, I say ironically. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_Meditation { ; time=0:01:03.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-0.1108289742547393/+0.0006618953398988\ /1.31136e+009/1/-145/0 params=0.1/10/10/0.1/0/0/0/0 maxiter=6000 inside=0 logmap=99 periodicity=10 colors=0000F`0H`0Hb0Id0Mf0Rg0Vi0_m0do0hp0kr0ip0fn0\ bm0_k0Wi0Tg0Pf0Md0Ib0F`0C_09Y06W02WF9TVDRgIPvNNzTM\ z`KzfTzk_zpgzxnzzvzvpzpmzkizdfz_bzV_yNWyITxDPx7Mv2\ Iv0Fv0Cm07d04Y00P00H00A002000000000700NI0db4vx7zz6\ zz6pz6fy4Wt4Mm4Cg22b20Y20T40T70V92VA9WDFWFKYHRYKY_\ Md_Nk`Rr`TybVzb_z`bz`fz_iz_mzYpzYtzWyzWzzVzzVzzTzz\ TzzRzzRzzPzzPzzPtzPnzNgzNbzNWzNPzMKzMDzM9zM2zK0zK0\ zK0zK0vM2mN9dPHWRNNTWFVb7Wk0Yr0Y0fKCfKYIKbHMfFMiDN\ nCNrANv9Py7Pz6Pz4Rz2Rz0Rz2Pz4Nz4Mz6Mz7Kz7Iz9IyAHxA\ FvCDtDDrDCpFAnFApDDrDHrCKtCMtAPvATv9Vx9Yy9`y7bz7fz\ 6iz6kz4nz4rz4tx9nrDkmIgfMd`R`WWWP_TKdPFiM9mI4rD0xA\ 0z70z40z00z00z90zK0zW2zg7ztDzzIzzTib`P0YDIV4_R0rP0\ zN0zN0yM0tM6nMAiKHdKM_KRVIWPI`KIfHK`DMYANT7NP4PK0R\ H0TC0T90RD0PH0NK0MP0KT0IW0H`0Fd0Dg0Cm0Ap09t0Do0Ii0\ Md0R_4VU9_PDdKIgFNmATr6Yv0bz0gz0mz0rz0xz0zz0rz0kz6\ bzDWzNPzYHzgAzp4zz00zz0zz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

2 1

Re: [Fractint] FOTD 26-03-10 (Evaporated Splendor [*7])
by Brian Prentice 26 Mar '10

26 Mar '10

Jim, Beautiful image, rates a 10! Brian Prentice

1 0

FOTD 26-03-10 (Evaporated Splendor [*7])
by Jim Muth 25 Mar '10

25 Mar '10

FOTD -- March 26, 2010 (Rating *7) Fractal visionaries and enthusiasts: Today's image is named "Evaporated Splendor" because it's an evaporated image. The parent fractal, before it evaporated, was a typical double-negative thing consisting of a string of large bays with its filaments terminating in circles. Today's scene is located where a prominent filament on the eastern side of the largest bay meets its terminal circle. Fractal evaporation is what happens when the escape radius of a double-negative fractal is increased until the inside parts of the fractal totally vanish. All the points are ultimately trapped. But the vanished fractal leaves a kind of ghost behind, which can be made visible with an active inside fill such as the 'bof61' fill used in today's image. I had to add a star to today's rating of a 7 because I borrowed the image from an earlier FOTD fractal and reworked it only slightly. The calculation time of just over 2 minutes is well within reason. This wait may be done away with however by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image there. The partly cloudy skies let through enough sun here at Fractal Central on Thursday to keep the fractal cats happy. The unexpectedly warm temperature of 66F 19C kept the humans happy. The next FOTD will be posted in 24 hours. Until then, take care, and be in there with the big time thinkers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= EvaporatedSplendor { ; time=0:02:10.18-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.944550323764/+0.9865113612003/2e+008\ /1/52.5/0 params=2.5/-1.5/0.25/-11.5/0/1e+100/0/0 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000HarBgv0007nv8nr9nnAnkCogDocEo_FoXIbcLRiO\ EoR2uNCtKMsGWrDeqAnpCjjDgeEd`G`VHYQIVLJSGOXJTaMYfO\ bjRgoTltWpxY0QsASnKTiUUdcV_mWWgaYafZXk_Rp`MuaPrXSo\ SVlNYiI000bd8`YD_SHZMLXGPWATV4XpxQqqSqjUqcVqXXqQYq\ J_qC`lBahBadAb`AbX9cT9cUGbVN`WU_X`YF2LJ9NMGPPNRSUT\ V`VZTmYVjYXhYZfY`dYbbYd`YfZiTPgWReYSc`TabV_eWVj_00\ 0WiZXhYXhYYgXYgXuKSiWVgfEegHdgKbgNagP_gSZgVF54PPJq\ OimSfiWce_aacZIjzKivMirOhnQhkShgUgcWg_6q3Bo8GmDKlI\ PjNUhS58q9Dn000GMi000000G4BA2IE3MH9QJESMJTOOURUUTZ\ VWcWN586JN000zzzBg6FzzJoFNrKRgOVgTz3CpHJmVQ5EWKTXt\ M3nSBhXIbbQUzOzzRzzTzzzQA8PFCPJFUNIURLTWOT_RTcUl`X\ XG9YCoYSefandcjbdf`ecZf_z1mh9XdGz`NXWUXS`Xzs0XmzXl\ zXxzYzzYhXzm0fcXddXceXamz`fXZgXF9RIESckfjfxYXgLNSM\ MSMMSNLSNLSNLSSMUXNVaOXePYjQ_oR`sSarUfqWkqXppZup_z\ lauicqfdlcfh`hcYi_d8A000`QMZZSIC7KGBKEZ61lLL__dNmx\ AljGlYMkLSk8YdEbZKfTQjNWn } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

No FOTD for March 24
by Jim Muth 24 Mar '10

24 Mar '10

Fractal fans: Too much work; too little time. That says it all. The FOTD for March 25 will be posted on schedule. Jim

1 0

FOTD 23-03-10 (Land of Pieces [No Rating])
by Jim Muth 23 Mar '10

23 Mar '10

FOTD -- March 23, 2010 (No Rating) Fractal visionaries and enthusiasts: There might have been a bug problem in the parameter file for the March 22 FOTD. If the file draws a blank, bring up the 'Z' screen and change the wrong value displayed in the real(p2) window from 0 to -1 . Today's image is a little better than yesterday's, though nowhere near a record and hardly worth a rating. It's a near Julia set of the East Valley of the Z^1.5+C Mandeloid. The reason for the name "Land of Pieces" will be obvious when the image is seen. But the calculation time of 13 minutes is more than the result will be worth. To avoid frustration, I recommend viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy clouds and frequent showers on Monday made the temperature of 64F 18C less enjoyable here at Fractal Central. The fractal cats demonstrated their disappointment by taking turns sulking on their shelf. The next FOTD will be posted in 24 hours. Until then, take care, and there is so much stuff out there that it must all mean something. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Land_of_Pieces { ; time=0:13:40.65-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 periodicity=0 center-mag=0.0438185/-0.256785/5.464481/1/90/0 params=89.9992/0/89.9992/93/0.1485/1.415e-005/0/0/\ 1.5/0 float=y maxiter=5000 inside=255 logmap=221 colors=000HiQHiVMiYRi_Wib`ideigjiiibciXYhRShLMgFGg\ 9Ag35Y7CPAIFDP6GVGENQCG_A9h92jM8lZEmkJgjHaiFWhDQgB\ Kf9Ee78d53d4EX5PP5_H6j96u16v97wH8xP8xX9yd9zlAzsAvr\ AsqAopAloAhnAemAalAZkA`aFaSJbINc8RZ5hU2yM5vF7t89rF\ GoMMmTSj_Yhfcelicggacf__eZdZdhTjlMopGutAzo9vj9sf8p\ a8mX8iT7fO7cK7`MGYNOWOWTQcRRkOSsMOnPKjSGeVCaY8X`5T\ cAVeEWgJXiNZkS_mW`oZRYaHHd80f58h3FR7PAAZHCaNEcTGfZ\ IhdKkjLmZJpOIrDHt2GvGBgU6Tg1E_FkcJjfMjiPjlSioVirYi\ u`ibYYLVM3TASwHZdCeN7YHJRCVK7fD2rN4iW6ae8UnAMlLHjV\ Cid8cfHYgQShZMigGjoWHjePpnWurNgvFVz7IpGGgPEZYCtOKz\ SSKP_FMgAKoOX5Q_CSbJTeQVhXXkcYmi`fec_agZdkZgoZjs_r\ w`yxcpxfhxh_xlSuhRseRqbRoZRmWRkTRiQRhQNfRJeRFU0BcR\ 7bR4`P5_N6YL7XJ8VH9UG9hBFiBFjBFhDNgFUeH`dJgbLnaNu`\ Ok`Oa_PT_PJZQ9ZQ0XO4WN8ULBTKFRIJQHM`Oz`Pz`Qz`Rz`Sz\ `Tz`Uz`Vz`Wz`Xz`Yz`Zz_Zz`Zz`mz`mz`mz`mz`mzamzamzam\ zamzamzamzamzbmzbmzbmz00O } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 22-03-10 (Steroid Fractal [No Rating])
by Jim Muth 22 Mar '10

22 Mar '10

FOTD -- March 22, 2010 (No Rating) Fractal visionaries and enthusiasts: POSSIBLE NEW FORMULA! It's another minor variation on the workhorse MandAutoCritInZ formula. This might or might not be the first time I have posted it. In any case, I'll probably use it very rarely. We were still a bit depressed here at FC on Sunday, and I actually felt a bit angry -- not the proper conditions for fractal work -- but with today's off-beat formula I still turned up a quick image, which appears as today's FOTD. The parent fractal is nothing more than two small and distorted Mandelbrot sets. Today's image lies in a disconnected area of chaos near the southernmost Mandelbrot set. Since I put no effort into the image, I gave it no rating. The name "Steroid Fractal" grossly exaggerates the worth of Sunday's fractal work. The calculation time of a near-instant 1-2/3 minutes may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Sunday here at Fractal Central proved to be partly cloudy with a temperature of 70F 21C. The fractal cats approved. The next FOTD will be posted in 24 hours. Until then, take care and prosper. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Steroid_Fractal { ; time=0:01:40.65-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritMinZ2 function=ident passes=1 center-mag=+0.51281696902199680/-1.206448\ 617750352/2.39553e+013/1 params=0.3/-2/-1/2/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000rXarZfq`kpbppdteiqWmoLqmBuk1yiCqfNidXahf\ VlpOpqRoqUnqWmqZmq`lqckqekrhjrkirmhrphrrgrufrwfmsd\ iobek`ag_XcYT_WPWVLSTGORCKQ8GO4CM09L1AM2BN3CO4DP5E\ Q6FR6GS7HT8IU9JVAKWBLXCMYCNZBOYBOYBOXBPXAPXAPWAQWA\ QW9QV9RV9RU9RU8SU8ST8ST8STBUZEWdGYjJ_pL`uMbpNdkOff\ OhaPiXQkSQmNRoISqD4dX8fTBhPFjMIlIMnFPpBIGwJKrKOmLR\ hMVdNY_OaVPdQQhMRkHSoCWt8Us8Tr8XOUWSRVVPVZMUaKUeHT\ hFTlCSoAEFAFI9GL9HO9IR9JU9KX9LZ9Ma8Nd8Og8Pj8Qm8Rp8\ TDzSHuSKpSOlSRgSVcSVZSTUYUU_UU`UUbUUcUUUL0K5uJ5iJ5\ ZTJQaXHji9lSDnZHpTLzcPzcTzcWzcZzcazAdV90O80I80LE0N\ K0QP0SVAU_1eK7q4DZQWGjnHikHhhHgeHfbHe_HdXHcUHcR6me\ 5qg4th3wj2zkOjRhV7_bCSiHJpMBwQJvNQvKXvIdvFkvDrvAyv\ 8`sICqRGsNKtKOuHSvEWwB_x8cy5RfKFOZPMaZKchIeqHgkNce\ T__ZWUdSOjOIpKDoH8oE3oB7hCBbDEXEIRFMKGPEHT8IW2JZ4M\ a5Od7Rg8TjAWmBYoC_lRVjeQhtMgsNfsNfsNesNdrNdrNcrNcr\ NarKZrHXrEUrB2sT6rQ9rNsUX } frm:MandAutoCritMinZ2 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*((-z)^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 21-03-10 (Midget Mania [No Rating])
by Jim Muth 20 Mar '10

20 Mar '10

FOTD -- March 21, 2010 (No Rating) Fractal visionaries and enthusiasts: There will be little discussion about today's image because FL and I were off on an antiquing expedition to Hagerstown down in Maryland all day Saturday. We found nothing of interest but had a fun time anyway. The image for today is a minibrot in the Z^(1.23)+C Mandeloid. It has no rating and is named "Midget mania". It takes a normal 4-1/3 minutes to finish, though I recommend viewing it on the FOTD web site at: <http://www.Nahee.com/FOTD/> The weather today was sunny with a temperature of 77F 25C -- near record warmth. When we got back from Maryland around sunset, the fractal cats were happy. The next FOTD will be posted in 24 hours. Until then, take care, and fractals may rule the universe, but who or what made the fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Midget_Mania { ; time=0:04:19.65-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor center-mag=-0.3388505239448932/+1.345623109254768/\ 1.21587e+009/1/35/0 params=1.23/0/-2/0 float=y maxiter=32767 inside=0 logmap=244 periodicity=0 colors=000QUQPTTPTWOSZNRaNQdMPgLOjLOmKMkJLjJJiIIgH\ GfHFeGDdFCbFAaE9`D7_D6YC4XB3WB2VF6UJ9UMCTQFTUISXLS\ `ORdRRgUQkXQo_PrbPoaNl`Mi_KgZJdYHaYG_XEXWDUVBSUAPU\ 8MT7KS5HR4EQ2CQ1JT9PWHVZO`aWfdclfjiegfddcdbac_ZcXW\ bVUbSRaPO`NL`KJ_HG_FDZCBZAE_BH_BK_BN_BP`CS`CV`CY`C\ _`CQPKHERNBRT8RZ5RW9RUDRRHRPLRMPRKTRIXRF`RDdRAhR8l\ R5pR3tR1xRBsOKnLTiIbdFk_CtV9oYAk`BgcCcfD_iDaeHbbKc\ _NdWRfTUgQXhMaiJekGilCnmCrnPvoPzpNup5pp6kp7fg7alBb\ iEbjIcmLdpPfrSgsWhtZiuakuelvhmvlnvopvsqvvrvysegmPR\ c8AcD9cH8cM7cQ7cU6cZ5cb4cf4cd8cbCc`GcZJ8XN7VR6TU6R\ Y5Pa4Ne3Lh3Jl2Hp1Fs1Io5Lk8OhBRdEUbHXcK_cNbcQecThcW\ kcZncaqcdtcgvcjschqcfocemcckcbic`zc_zcYzcXzcVzcUzc\ SzcRzcUzcXzc_zcazhdzmgzrjzvlzzhzzdzz_zzWzzSzzOzzKz\ zGzzCzz8zzCzzGzzKzzOzzSzzWzz_zzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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For those who asked about the Long Now & Brian Eno mail -a Repost - and Back to Fractals
by James Causey Jr. 20 Mar '10

20 Mar '10

Skip to the end for The Long Now stuff: Jim, I recently caught a picture online of Glacier National Park taken in 1965, the year of my birth. It looked no different, I thought, than the other pictures I had always seen, not having ever been there myself. And it's quite a beautiful picture taken at midsummer with nearly the top half of the mountain glistening like Dream-Whip frosting running down the sides of the mountain. A picture in 2009 in midsummer.................ain't hardly nuthin' there a'tall. Nada. A little bit of whitish toward the TIP of the mountain. That's all that's left. There is no quick solution and most are financial sinkholes. And there really isn't much we can do except get ready to move North when things start getting humid and tropical in Arkansas. Sure they have chaotic winter storms still, but the average winter there is nothing like it was in 1991 when my sister moved there. Now, the climate of the world chandes like a bouncing ball over geologic time so often and for so many different reasons we will never get an accurate count of how many times or their exact circumstances. BUT...it is either a natural process occurring sslloowwllyy over time. Or it arises out of a catostrophic incident extremely quickly; within days, if not hours (asteroid, etc.). What we are experiencing is NEITHER naturally slow over hundreds and thousands of years (an Ice Age) or catastrophically fast. It is a rate of change right in the middle. Slowly. Observable and FELT by me across my short 45 year lifetime. Even the weather here in San Francisco is completely different than in 1995 when I moved here, and the 3rd and 4th gernerationers out here say the weather the past decade is nothing like it was experienced by generations of living here. The patterns are completely shattered. So, I must draw the conclusion that our Industrial Revolution did initiate this process, plus the general overcrowding, overfarming, overproducing, overpolluting, and everything else. Not that the IR was bad, certainly not, and they cannot be faulted back then for lack of scientific insight that would have helped them plan better for consequences in the long term. They barely knew what oxygen was, much less the possibility of on ozone hole or whatever. The onus is not on them. It is on US because we ARE aware now of all of these possibilities and systems and how they interplay. And all we can really do is sit back and see what happens. Really. BUT, if it is the end of us and we do ideed disappear, that's really all okay by me. And ultimately we have not harmed the Earth, but temporarily bent it to our will. When we are gone, it will absolutely restore and recover itself over time, practically back to a Garden of Eden. I would think the Fundamentalist Deny'ers would love this return to an Earthly paradise, but they cannot see through their Ego-lensed glasses. There is an excellent podcast that is non-political and talks about what would happen if, for WHATEVER reason, we were just...gone. What would happen. The man giving the talk had a book out 2 years ago, and this is his podcast from The Long Now Foundation monthly seminar in February 2010. It's the most amazing talk I've ever heard. World Without Us, World With Us -Alan Weisman podcast-2010-02-10-weisman.mp3 Main page: http://www.longnow.org/ We really must take the longer view from now on. And we REALLY must get back to fractals. I've never in my life typed out a single word about this before. Thanks for reading, James C. Causey Jr. Rockin' FractInt Since 1991

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FOTD 20-03-10 (Secret Sky [No Rating])
by Jim Muth 20 Mar '10

20 Mar '10

FOTD -- March 20, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's FOTD is not only late, it is not even a new one. The image has already appeared once as a FOTD under the name "Skyscape". Well, today it appears under the name "Secret Sky". The lateness happened because FL and I went back to Old Fractal Central on Friday, where we and my sister had a little ceremony as we laid to rest Thomas, the 20-year-old last remaining original fractal cat. His worn-out body now lies peacefully in the holly patch, where he and his brother Tippy spent so many years together, lurking and watching for trouble. As for the fractal, it has a kind of heavenly feeling to it, which I guess is appropriate. Since the image is a repeat, I gave it no rating. The calcula- tion time of 2 minutes should cause little impatience. The image is also available on the FOTD web site at: <http://www.Nahee.com/FOTD/> The conditions were perfect back at Old Fractal Central on Friday, with full sun and a temperature of 75F 24C. The new fractal cats were happy when we returned, so I assume conditions were equally perfect up here. The next FOTD will be posted in around 12 hours. Until then, take care, and be a fractal genius. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Secret_Sky { ; time=0:01:59.08-SF5 on P4-2000 reset=2000 type=formula formulafile=basicer.frm formulaname=MandNewt12 passes=1 center-mag=0.8424/\ 5.7563/1.0045/1/-85/0 params=-0.045/-1.979/2.404/\ 1.434/4.306/6.143 float=y maxiter=145 inside=bof61 logmap=yes periodicity=0 colors=000KFKKFKKFKKIKKIKKIKKIK0DL0DN0BN0BN0BO0BO0\ BO0BQ0BQ0BR0BR0BR0BR0BT0BT0BT0BV0BV0BV0BX0BX09X09Y\ 09Y09Y09_09_09_09a09a09b09b09b09b09d09d09d09f09f09\ g08g08g08g08i08i08i08i08i08i08i08i08i08i08i08i08i0\ 8i08i06i08i08i09i09i09i09i09i0Bi0Bi0Bi1Bi2Di2Di4Dk\ 4Ek6Ek8Ek8Ek9Gk9GkBGlDGlDInEIpEIpGJqIJqIJsJJsJLwLL\ wNLwNLwONwONwQNwOLtQNwQNwQOwQOwQOwQOwROwRQwRRwRRwR\ SwRSwRSwTSwTTwTVwTVwTVwTVwTYwVYwVYwX_wX_wY`wY`x_mx\ amxcmxemxgmxwrypmzwrzrmzwtzrpzwvzrrzwxzrrzzzz00000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } frm:MandNewt12 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), .0000000000000000000000000000005 <= |h| } END PARAMETER FILE=========================================

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FOTD 19-03-10 (Mandel in the Rye [7])
by Jim Muth 18 Mar '10

18 Mar '10

FOTD -- March 19, 2010 (Rating 7) Fractal visionaries and enthusiasts: Thursday evening I got the expected bad news from Old Fractal Central. Thomas, the only remaining original fractal cat went to meet his brother Tippy around 4pm. He never did fully get over the loss of Tippy, and if the powers that be are truly as good as the faithful believers claim, Thomas and Tippy are now chasing but never catching the birds that flit around in cat paradise. For all its speed and instant discovery, today's image, a standard scene in the classic Mandelbrot set, still rates a 7. Its location is rather deep in a star in a rather chaotic area on the northwest shore line of the main bay. I named it "Mandel in the Rye" for no reason at all. The calculation time is a lightning 23 seconds. If this is still too slow, the already-calculated image may be viewed on the FOTD web site at: <http://www.Nahee.com/FOTD/> Absolutely perfect weather prevailed here at Fractal Central on Thursday, with crystal clear blue skies, and a temperature of 68F 21C. Due to the departure of Thomas, our day was subdued here at FC, but FL and I gave each other comfort and things were not as gloomy as they might have been. The current fractal cats seemed to sense that something was wrong. They kept coming to us with quizzical looks on their faces. But as it is said, life must go on, and the next fractal will be posted in 24 hours. Until then, take care, and search for the meaning of all this Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_in_the_Rye { ; time=0:00:23.42-SF5 on P4-2000 reset=2004 type=mandel passes=1 mathtolerance=0.05/1 center-mag=-0.57361890223421390/+0.458931118975250\ 50/1.11225e+010/1/-37/0 params=0/0 float=y Inside=0 maxiter=25000 inside=0 logmap=3189 periodicity=6 colors=0006oZEhbMafTVj`OnhHroAvgBp_BjSBdLB_Z`HWbIU\ cISdIQeIOgIMhIKiIGlFIjIKhKLfMNdPObRQ`TSZWTXYVV_WTb\ YRd_Pf`NibLkcKm_HgWEaSBWP8QS7OV6NY5M`5Lc4Kf3Jj1Hh3\ If5Jd7Jc9KaBL_DLZFMXHNVJNULOSNPQPPORQNTRLVRJXSIZTG\ `TEbUKtHDcU7Of18s2Aq3Cp4Eo5Gn6Hm7Jl8Lk9NiAOhBQgBSf\ CUeDVdEXcFZaG``Ha_IcZJeYKgXHjZKhWNgUQfSTeQWdNZcL`a\ Jc`Hf_EiZClYAoX8qW6pV7oU7nU8nT8mT9lS9kRAkRAjQBiQBi\ PChOCgODfNDfNEeMEdLFcLFcKGbKGaJHaJHaIHbHIcFJdEKeDL\ ZK5eCLm1al5_k8ZjBXiEWhHVhLTgOSfRReUPdXOd`MccLbfKai\ I`lH_pF`oG`nG`mH`lH`kI`jI`iJgvP`iJUYENL8G70H93HB6I\ D9IFCJHFJJIKLLKNOKPRLRULTXMV_MXbNZeN`hzzzNbkQfmSio\ UlpXorZrt`uu_so_qj_oe_m`hiRbhKWfDMh3Qe7UbBY`F`YKdW\ UhTclRmoOzsMzwJzzHzzWzkNcdQ`YTYQJoRWVTYAR_BPaCNcDL\ eEJgFIiFGkGEmHCoIAqJ8sK3uH7wKAzNKzQUzTZzWczZhzaWzS\ mzJrzIvzHzzGzzFzzEzzDzzCzzBzzAzzKzzUzzczzmzzuzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Re: [Fractint] Bad news from Old F.C.
by JackOfTradeZ＠comcast.net 18 Mar '10

18 Mar '10

. Sorry to hear that Jim. But 20 years is a long time for any cat? Be thankful for 20 long fractal years! I am going thru the same thing now with my White German Shepherd. It is heartbreaking. Only 9 years. Emotionally devastating. Only another animal lover could ever understand. :( But I am keeping hope alive for now. :) .

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Bad news from Old F.C. (Not exactly fractal related)
by Jim Muth 18 Mar '10

18 Mar '10

Fractal fans: It's just after 11am Thursday, March 18 here at Fractal Central and I have just received a call from my sister back at Old Fractal Central. She told me that Thomas, the one remaining original fractal cat who is now 20 years old, is in very bad shape and unlikely to make it through the day. We have been worried about him for several weeks, and if my writing has been a bit sharp lately, it is because of my concern for Thomas. As for the global warming off-topic, John is right. There are simply too many of us on the planet, and we are unwilling to do the only thing that could possibly save us -- reduce our numbers. I think that deep inside we all realize this, yet are unwilling to accept and face it. Advanced technology will not save us. Colonizing other planets is a sci-fi fantasy. It looks like the grand experiment of intelligent life on earth will end up being a failure, and the last living man will ask the surrounding emptiness what it was all about. The regular FOTD will be posted in about 12 hours. Have a happy day. FRACTAL JIM, the currently somewhat depressed

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Warming catastrophe (non-fractal topic)
by Jim Muth 18 Mar '10

18 Mar '10

At 11:38 AM 3/16/10 -0500, Maryetta Campbell wrote: >Jim Muth wrote: >> >> After watching one manmade-global-warming-doomsday >> program after another on Sunday, I am fast becoming >> convinced that the whole warming thing is more >> politics than fact. >> > >Then you should read some of the statistics on "Glacier Melting Rate", >or watch some better shows. > >Glaciers are shrinking not only in area but also in thickness. Some >are losing as much ice in one week as they used to surrender in a >whole year. And some are no longer there at all, because they have >completely melted over the past few decades, even though they had been >around for hundreds/thousands of years. > >The glaciers in the Himalayas are receding quicker than those in other >parts of the world and could disappear altogether by 2035. The >Himalayan rivers support a _VERY_ large portion of humanity. The rate >of retreat for the Gangotri glacier, which feeds the River Ganges >(India's holiest river), over the last three decades was more than >three times the rate during the preceding 200 years. . . . Etc. Etc. Etc. I have heard, seen and read all this stuff a hundred or more times. And I agree, it is true. But why do the warming alarmists continue repeating that glaciers and ice caps are melting when it is common knowledge? This melting has been known by climatologists for many years. The questions are how much of the melting is 'man-made' and how much is natural, what if anything can we do about it, and how much are we willing to sacrifice to reduce the part we are responsible for. For example, how many are ready to park their cars, the biggest greenhouse gas emitters, permanently and turn to public transportation? Do I hear replies about living too far to walk and public transportation not being available? It appears to me that these climate doomsday programs are trying to instill fear among the general public so that they will support legislation (cap and trade?) to fight the hyped-up dangers of the warming. Such legislation will surely bring great profits to some big corporations. Luckily, the public is starting to see through the big scare. You appear to be a liberal thinker. I'm sure you can see how the so-called dangers of a 'public option' in health care -- rationing, death squads, etc. -- are little more than political hyperbole stirred up by the right to frighten the public. Why is it so hard to see that the coming 'climate catastrophe' is similar hyperbole from the left based on misrepresented and questionable science. In my opinion, the most amazing thing in all of this is how easily the general public can be led like a flock of sheep to believe anything those who are actually running things (most likely the big corporations) want us to believe. If you care to debate, please include a workable solution to the so-called climate catastrophe that is looming just ahead of us. I would start by saying that if the Himalayan glaciers disappear, we would find a way to use some of that heavy monsoon rainfall to supply water to the subcontinent -- that is if the alarmists do not start claiming that the monsoon will disappear also. Remember that a warmer planet earth means a faster water cycle -- faster ocean evaporation and heavier rainfall, and not a global desert. As for spreading reflective sheets of foil over the glaciers, it would not work. The sheets would soon be covered by new snow and become ineffective. Fanally, to keep things a tiny bit on topic, perhaps we can use fractals in some way to solve the dilemma. Fractal Jim (politically questionable)

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FOTD 18-03-10 (Lucky Sevens [6])
by Jim Muth 17 Mar '10

17 Mar '10

FOTD -- March 18, 2010 (Rating 6) Fractal visionaries and enthusiasts: With a busy day Wednesday cutting into the fractal time, today's discussion will have to be brief. The parent fractal is a classic Mandelbrot set with order-7 characterists in its depths. Today's scene is located in a radical star on the northwest shore line of the main bay of the parent. The minibrot at the center is pure Z^7 stuff, while the surrounding elements appear to be classic Mandelbrot stuff. The resulting mixture rates a modest 6. The name "Lucky Sevens" refers to the order-7 nature of the image. The calculation time of 3-1/2 minutes is pretty speedy, though the trip to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> should be even speedier. Another near-perfect day passed peacefully here at Fractal Central on Wednesday. The fractal cats thoroughly enjoyed the unbroken sun on their window shelf, while the humans enjoyed the temperature of 63F 17C. This human was a bit too busy to enjoy the weather, but he did enjoy the savings in heating fuel. The next FOTD will be posted in 24 hours. Until then, take care, and look toward the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lucky_Sevens { ; time=0:03:36.81-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot3 function=recip passes=1 center-mag=-0.550996203572/+0.50282992259\ 48/6.52779e+008/1/-12.5/0 params=7/10000000 float=y maxiter=2500 inside=0 logmap=304 periodicity=6 colors=000FA0FA0FA0FA0FA0FA0FA0FA0FA0FA0FA0FA0FA0F\ A0FA06A07A08A09A5AAACAFEAKHAKKAKKAMKAOKAQKASKAUKAW\ KAXKAVKAUKAUKAUKAUKAUKAUKAUKAUKAUKAUKAUKAUKAULAUMA\ ULAUFAU9BUBDUCEUDFUEGUFIUGJUHKUILUJMUKOULPUMQUNRUP\ TVQUWRVXSWYTXZUZ_V_aW`bXacYceZdg_ei`fkagmciodjqekr\ flrgnrhosipsjqskrslttmutnvtowtpxtqwsrwsrvrsvrsvqtu\ qtuzuuzzzzzzzzzzzzzzzziKfdKc`K`XKYSKVOKSKKPFKMBKJ7\ KG8KF8KF9KF9KE9KEAGEADDBADB7DB5DDIjHOfMVaQ`YVfUzlQ\ zjQzzQzgQzeQ`dQW_NSWKORH473KNEFJBBE87A5faw_WmTRcNM\ VGGL9BBT4gK5UB6Gn`ofVfZQZRLRJGIBBApMViKRcINYGKSEGL\ CCFA9985HcNCSG7H94zz3XQFMODJKBGG9EDPB9S85_0Ic3Am5B\ r68w66z64zzmmqcciUUaKCUA9M26E2WRsMKaCDKUDNPBJLAGG9\ CC89775rXh`OUKFGpsbhkXadSVYNORHHKCcAUcAUcAUcAzzUzm\ UUqmzrUUsmztUUumzsURrmzpZLomzmhFlmzkrAjvzjzDizzizF\ hzzhzHzzzzzJzzzzzMzzzzzOzzzzzQzzRzzSzzUzzVzzWzzXzz\ YzzZzz_zz`zzbzzczzdzzezzf } frm:AllNewDivideBrot3 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 15-03-10 (Blades of Passion [7.5])
by Jim Muth 16 Mar '10

16 Mar '10

FOTD -- March 15, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is titled "Blades of Passion". But do not expect anything connected with a hot backstage romance at the figure- skating competition. The name refers to the windmill-like blades in the lower half of the image. (Fine-Tooth Comb" might be a good name for the upper half of the image.) The parent fractal is an almost-Julia set of a tiny spurious valley on the positive X-axis of the Z^(2.07)+C Mandeloid, with the grossly enlarged mandel part rotated 90 degrees. Today's image is located where the mandel stuff intersects the northern edge of the almost-Julia set. In the image, the upper half is made of the mandel stuff, while the 'blades' in the lower half are made of the almost-Julia stuff. The rating of a 7.5 includes 1/2 point for the coloring, which makes the top half almost look like a net. The calculation time of just over 5 minutes is well within reason for such a complex image. Those who become mentally congested at the thought of complexity may make things simple by viewing the finished image on the new FOTD web site at: <http://www.Nahee.com/FOTD/> I will no longer include the address of the old web site, which will soon be discontinued, though the address is still readily available in the back-dated FOTD discussions. After watching one manmade-global-warming-doomsday program after another on Sunday, I am fast becoming convinced that the whole warming thing is more politics than fact. I doubt that I have ever seen so much mis-represented stock film footage. (I should keep a list of the misleading statements.) Almost certainly someone has much to profit if we are led to take panicky actions to fight this grossly-overblown threat, but who is behind the big scare, hoping to make the huge profits? Maybe the phone companies are behind it. As long as we're so occupied with global warming, we'll have less time to be con- cerned about more immediate threats such as the non-ionizing radiation given off by the toy-like and now absolutely neces- sary 'wireless' devices that are overwhelming our culture. Yes I know that no study sponsored by a phone company or wire- less-device manufacturer has ever found a harmful effect of the radiation. But the devices have also never been demonstrated to be safe, and what about those studies sponsored by independent sources, which do find harmful effects? Now on to the weather report. Heavy clouds with occasional periods of rain prevailed here at Fractal Central on Sunday. The temperature of 48F +9C was fair enough, but the fractal cats still complained about the lack of sun. My day was about average. In the evening I got a phone call from my sister back at Old Fractal Central, who told me that Thomas the one remaining original fractal cat is in failing health. Thomas is over 20 years old, so we'll have to see how it goes with him. Tippy, the other original fractal cat, went to the eternal lap two years ago. The next FOTD will be posted in 24 hours. And who knows, it might even rate an 8 or 9. Until then, take care, and wait patiently. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Blades_of_Passion { ; time=0:05:05.72-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 float=y center-mag=0.11405/0.89808/12.43585/1/82.5/0 params=89.999/0/89.999/90/0.2627/0/0/0/2.07/0 maxiter=1220 inside=0 logmap=-7 periodicity=10 colors=000hAwiAujAskAqlAomAmoAkp9iq8er6bt5_u3Xv2Uw\ 1Rn8PfFNiKOlPPoUPrZPtcPvhPwhRvgSvfUudWucXtbZta_rWZ\ pRZnMZmHZkCZi7Zh2Za6YVAXPEWIIVCLVDMXDMZDN_DNaDNcEO\ dEOfEOgEPiEPkFQlFQnFQpFRqFRsFRtDNlCJdAFX9BQIHRRMS_\ RTgWUhWUiWTiWTjWTkVTkVTlVSmVSmVSnVSoVRoVRpURqU0qUR\ zUQsZQs0QtUmcNklR`pJDrPKnKhoUgocfo0ep0zpNcpNbkUFmV\ EnXEpYDqZDoXEmWEkVEiTEgSEeRFcQFaOF_NFYMFXLFVMHUNIS\ OJRPKQQLORNNSOLTPKUQJVRHVTGWUFXVDYWCZXA_Z9`_8a`6ba\ 5cb4ccIVeVMfgDgfCffCffCefCefCdfCdfBcfBcfBcfBbfBbfB\ afAafA`fA`fA_fA_fA_hDYiEXjFXkHWmJVnMUmOUhNYcMaZLeU\ KiPKmKKmJJmLIlOHkQIiSIhUJgVKeXLdZMc`MbbN`dO_fPZhQX\ jQWlRVnSTpTSrURyiZxfXwdWvbVv_TuYStWRJPdNQbQQaTR`WR\ _ZSYaSXeSWhTVkTTnUSqURMGRQIQUKQYLQaNQeOQiQQmRQqTQY\ CO`EPbGPdIPgKPiLPkNQnPQpRQrTQ6N5AO7EP9IPAMQCQQEURF\ YRHaSIeSKiTMmTNqUP4v_7tZxrYuqYqoXmnWjlVfkUbiT_gSWd\ RU`QRXPNTOKPNDLM6HLFDKO9K } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 17-03-10 (Epsilon to Patrick [6])
by Jim Muth 16 Mar '10

16 Mar '10

FOTD -- March 17, 2010 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image is an everyday Mandelbrot set. This is true only on the surfaqce however. In its depths, this M-set takes on the characteristics of the Zexpe fractal, which has the formula (Z^(2.718...)+C). Today's image lies deep enough that the Zexpe characteristics are fully developed. The image is located on the northeast shore line of the main bud of its parent M-set. The minibrot at the center displays the full Zexpe shape, though the surrounding elements, while numbering around 5, show Mandelbrot-set characteristics. I named the image "Epsilon to Patrick". The Epsilon shape and the fact that March 17 is Saint Patrick's Day inspired the name. The rating of a 6 indicates that I consider the image to be only slightly better than FOTD average. The calculation time of 2-3/4 minutes may be avoided by surfing to the new FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the completed image there. Absolutely perfect weather prevailed here at Fractal Central on Tuesday, with clear skies and a temperature of 61 F 16C. The fractal cats approved wholeheartedly. My day was on the busy side, but not so busy as to keep me from finding an average fractal image. The next in the endless series of fractals will be posted in 24 hours. Until then, take care, and don't fall for the manmade-global-warming scam. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Epsilon_to_Patrick { ; time=0:02:44.69-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip float=y center-mag=-0.7909685423430249/+0.1464022856501517\ /1.376139e+009/1/10/0 params=2.718281828459/100/0/0 maxiter=2400 inside=0 logmap=358 periodicity=6 colors=000r_VuZTsYRrXPqWNpULoSKnQImOGlMEkKCjIBfIDb\ IEZIFWIGSIHOIILIJKHMKGPJFSJEUIDXIC_IJaHNdHSgGYjGel\ FmoFrrFvt8wr7tq7pq7lq6gp6cp6_p5Vo5Ro5No4In4En4An8F\ jCKgGOdKTaOXZRaVVfSZkPboMfrJisGhsHgqHfnHckHahH_eIZ\ bIY_IXXIWUIVRJUOJSLJQIJOFJPEIQEIREHSEHTEGUEGVEGVEF\ WEFXEEYEEZEE_ED`EDaECbECcECeEBgEBiEAkEAmEAkGBjIBhJ\ CgLCeMDdODbQDaRE_TEZUFXWFWXGUZGT`GRaHQcHOdINfIMgIO\ fFQfDSfBUf9Wf7Yf5_f3`f1ag3ah4ai5aj6bk7bl8bm9bnAcoB\ cpCcpEcqFdrGdsHdtIduJevKewLexMeyNeyOimRmbUqRWuGZy5\ `xI7uJ9sJAqKBoKCmLDkLEiMFgMGdNHbNI`OJZOKXPLVPMTQNR\ QOOQORTMUWKXZJ_aHbdGefKhiUplczzbqmpsoprmprlprkpqjp\ qimqmczlUzkTzzWzzZzhaogcnffneindlncneUcXKUOAKPDLPG\ MQINQLOQOPRQQRTRSVSSYTS`UTbVTeWzgXzdWzbWz`WzYVzXVz\ _VzbUzeUzhUzkTznTeqTftSgwShzSzzUzzWzzXzzZzz`zzazzc\ zzezzfzzhzzizzepzFrzHtzKvzMxzOzzQXzf4zw8ztCzrGzpKz\ nOzkSziVzgZzebzcfz`jzZnzX } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 16-03-10 (A Phantom Minibrot [5])
by Jim Muth 15 Mar '10

15 Mar '10

FOTD -- March 16, 2010 (Rating 5) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's formula, the MandAutoCritMinZ, is one I worked up when I finalized the MandAutoCritInZ formula. It is the same as the MandAutoCritInZ formula except that it combines powers of (-z) rather than (+z). I have done very little with it because it virtually duplicates the images created by the original formula, and often fails to find a critical value of initial (z). But now and then it comes up with some new stuff. Today's image is one of the more interesting images it has produced. I named the image "A Phantom Minibrot" because of the brilliant white Mandelbrot shape left of center. The Mandelbrot effect is a totally random illusion. There is no minibrot lying just beneath the surface. The minibrot is a phantom. Ghostly specter or not, I could give the image a rating of no more than a 5. It's still an interesting scene however, well worth the 5 minutes required to calculate it from the included parameter file or the minute or so required to view the image in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> Monday brought heavy clouds but dry weather to Fractal Central, with a temperature of 48F +9C. The fractal cats disapproved. My day was rather busy; tomorrow will likely be a repeat. The next FOTD will be posted in 24 hours. Until then, take care, and conspiracies are everywhere. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Phantom_Minibrot { ; time=0:05:05.76-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritMinZ function=ident float=y center-mag=+0.585989628/+0.00007827/4751.262/1/\ -117.5/0 params=2.76/-1.4/0.36/-4.4/0/0/0/0 passes=1 maxiter=1600 inside=255 outside=tdis logmap=140 periodicity=6 colors=000iQPjRPjSPjTQkUQkVRlWRlXRmYSmZSm_Tn`TnaTo\ bUocUodVpeVpfVqgWqhWqhWoeVmbVl_VjXViVVgSVePVdMVbJV\ aHV_EVYBVX8VV5VR1UU3VW4VY5V_6Va7Vc9VeAVhBVjCVlDVnF\ VpGVrHVtIVwJWvJVvJVvJVvJVvJVvJVvJVuJVuJVuJVuJUuJUu\ JUuJUuJUtJUtJUtJUtJUtJUtJTtJTsJTsJTsJTsJTsJTsJTsJT\ sJTqLUpMVoNWnOXlPYkQZjR_iS`hT`fUaeVbdWccXdbYe`Zf__\ gZ`gYahWbiVcjUdkTelSfmQgnPhnOioNjpMkqKlrJmsIntHouD\ qvEpuFpuGpuHpuHptIptJptKptKptLpsMpsNosNosOorPorQor\ QorRorSoqToqToqUoqVnpWnpWnpXnpYnpZnoZno_no`noannan\ nbmncmndmndmmemmfmmgmmgmlhmlimljmllnokmmjmljmjimii\ mhhmfhmegmcfmbfmaem_emZdmYdmWcmVbmTbmSamRamP`mOaoM\ `mN`lN_kN_jNZiNZhNYgNYfNXeOXdOXcOWaOW`OV_OVZOUYOUX\ OTWPTVPSUPSTPSSPRQPRPPQOPQNPPMQPLQOKQOJQNIQNHQNGQM\ EQMDQLCRLBRKARK9RJ8RJ7RI6RI5RJ3SI4RH5RH6RG7RG8RF9R\ FAREAQEBQDCQDDQCEQBFQBGQAGPAHP9IP9JP8KP8LP7MP2NN4M\ O5MO7MP8MPAMQBMQDMRELRzzz } frm:MandAutoCritMinZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*((-z)^b))+(d*((-z)^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD
by JackOfTradeZ＠comcast.net 15 Mar '10

15 Mar '10

. Is the new FOTD site up yet, and if so what is URL? . Not to get off track, but if history teaches anything, it is that it DOES repeat itself over and over ad infinitum. People never learn. This is the oldest tactic in the book. If people are kept worried and occupied with non-issues like climate change, cholesterol, and race (class warfare, setting the people at each other's throats), they will never be aware of the REAL issues, like the plunder of our children's heritage and the selling out of the country to internationalists. But perhaps there's some glimmer of hope in them thar tea bags ..... .

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FOTD 14-03-10 (Zexpe Below Zero [6])
by Jim Muth 13 Mar '10

13 Mar '10

FOTD -- March 14, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's scene lies in the northernmost of the two East Valleys of the (-Z)^(e)+C Mandelbrot fractal, otherwise known as the Minus-Zexpe Fractal. The parent fractal has two East Valleys, which are the remnants of the single Z^2 East Valley, which has now split apart and has been caught in today's image two-thinds of the way through the process of morphing into the northern Seahorse Valley of the (-Z)^3 Mandeloid. There is nothing exceptional in the scene. All I can say about it is look and enjoy. The way to look is to run the parameter file and wait about 1-1/4 minutes, or to surf to the new FOTD web site at: <http://www.Nahee.com/FOTD/> Saturday here at Fractal Central was marked by heavy clouds and high winds. Some rain fell, though the flooding rains failed to materialize. All the while the temperature hovered around 48F +9C. Fractal cats generally do not like rain, and the resident fractal cats are no exception. They spent the day in sulk mode, with their tempers showing. My day was uneventful, which means no antiquing expedition took place and the FOTD fractal was ready on time. The next FOTD will be posted in 24 hours, unless the world ends before then, that is. Until next time, take care, and now that the future has arrived, where are the wonders of the future? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_Below_Zero { ; time=0:01:16.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=+0.104839627\ 4699141/+0.3670053590720084/3.969899e+008/1/67.5/0 params=0/0/0/0/0/0/0/0/2.71828182845905/0 float=y maxiter=6400 inside=0 logmap=158 periodicity=6 colors=000SPVQPWOPXMPYKPZIP_GP`APaCPbEPcFPdHPeJPdK\ P`MQYNQUPQQRQMSRIUSEZT8cUBhVDmWFrVHsWFtUEsRDqPCoNB\ nKAlH8jE7iB6gG5fI4eK3eM4eO5eR5eU6fX7f_7fb8fe9gh9gk\ AgnAgpAgrBgpDfnFfkIeiKefMedOdaRd_TcXVcVXbT_bSabSca\ TeaUh`Vj`Wl`XnaYo_ZoY_hW`aUaVSbOQcCOdHMeMKfQIgVFhZ\ GhcIhhKhlMhqNhsOhuCkw0ky4jv8htCfrGcpKanO_lSXiWVg_T\ ecQcgOakM_qL`oKYmKWkJTjJRhJOfIMeIKcIHaHF_HCZHAXG7V\ G5TE0UG3UI5UJ7VL9VMCVOEWPGWRIWSKRNWMIgGCuHErHGoHHl\ HJiHKfIMcIN`IPYIRVISSJUPJVMJXJJYGJ_DGa8J`AL_COmEQn\ FTcHVYJYcL_XMbWOdWQgVXzcziVZUK_EA`GBaIBbJCcLCdNCeO\ DfQDgRDhOEiMFjKGkIHlFImDJnBKo9Lp2Jq7Mr5LsCOtJRuQUv\ XXwc_xjbypdzqTzlWzgZzbazWezYdzZdz`dzaezbfzdgyehxgi\ whjvikukltlmsnnrooqpppiqocrnYsmStlMukGvj9wiAxfAycA\ zaBzZBzWBzUBzRCzOCzMCzJCzGDzEDzBDz8gzJhzLizMizOjzP\ kzRkzTlzUlzWmzXnzZnz`ozapzcpzdqzfvzeszfqzgozgmzhkz\ hizigzidzjbzj`zkZzkXzlVzl } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 13-03-10 (Misplaced Surprise [?])
by Jim Muth 13 Mar '10

13 Mar '10

FOTD -- March 13, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image holds not only the promised surprise but a mystery as well. I named it "Misplaced Surprise" because the minibrot in the upper right seems strangely out of place. Yesterday's image is an East-Valley-type Julia set. This is evident by its appearance. Today's image shows the same scene from a viewpoint double-rotated only 0.001,0.001 degree from the Julia direction. (Double rotation is another story.) Despite such a tiny rotation, the resulting image has lost all resem- blance to a Julia set, and more closely resembles a non-critical Mandelbrot scene. But wait! This is impossible! What is a near-perfect Mandelbrot minibrot doing in a fractal that is so close to being a Julia set? Actually, the minibrot is far from perfect. A closer examina- tion will reveal that it is perturbed, but the fact that it is there at all makes the image so exceptional. When I began rotating the scene toward the Mandelbrot orienta- tion, I had one of the biggest surprises of my fractal career. A near-perfect Mandelbrot midget unexpectedly appeared amidst the degenerating Julia features. This is striking because, due to the four-dimensional shape of Mandelbrot elements in the Julibrot, with 2 infinitely extended dimensions and 2 compact dimensions, Mandelbrot features supposedly cannot appear in a Julia set. Another thing I notice in the image is the missing elements. In the pure Julia version, 32 striped red elements surround the cen- ter. In today's almost-Julia version I see only 24. I have no idea what happened to the missing elements, though I suspect a second radiant center lies off the screen some distance to the left. I have no answers to these fractal paradoxes, nor do I expect to think of any. I guess it will forever remain one of those unex- pected things that make fractals so interesting. Since the image is of purely mathematical interest, and would have little artistic worth to the 'look ma I'm an artist' type of fractalist, I rated it at a question mark. The calculation time of 1-2/3 minutes for all this surprise and mystery is quite a bargain. Those who are not bargain hunters may view the image on the new FOTD web site at: <http://www.Nahee.com/FOTD/> The weather here at Fractal Central took a turn for the worse Thursday night, and Friday dawned with cloudy skies and light rain. Friday brought continued clouds, intermittent rain and a temperature of 50F 10C. These conditions did not please the fractal cats, who wanted more sun. Unfortunately, with rain forecast for at least 3 more days, the cats will remain unhappy. My day was fair enough. If all goes well and no antiquing expedition arises on Saturday, the next FOTD will be posted in 24 hours. Until then, take care, and be with the fractal elite. P.S. My almost-useless AOL e-mail address may be discontinued in a month or so. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Misplaced_Surprise { ; time=0:01:39.89-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t float=y center-mag=-0.00021870072691744/-0.000080784627994\ 88/3194.472/1/-7.5/0 params=89.999/0/89.999/0/0.27\ 58107881858941/-0.006746958379780152/0/0/2.003/0 maxiter=6000 inside=255 logmap=310 periodicity=0 colors=000000XJaMCPB6CvGeFMQ7BDz82S51E20zEPS9GE48T\ UqJK_9AIaFgPATC5E8maeqz2`q1Rc1IR09DrtxdehRSUDUzVKz\ F6Sry4di3RV2DF1kisWU`GFIlxG_hCOU8CF4ixpNUQdz0zO0KG\ 0A80Ah06U03F0WvEGT7e08BrglGwZVoLih8xaGmRObGWT5faAz\ zFzzKe_DMj7LI6qU`_KOIACoqTQREURYKIMA9BdIQUDJK9DA46\ tZoqHX_BMI5B`xpvuDgf9TT6EE3aRzJDVBmg7XT3GE1Ul0M_0F\ O07CkPQWGHG88pONbIHQCBD65UuzaT1SL0JE0970EyqAic7VR3\ FDaQxSJhJDU96FwXTUGEhnyNwFFcA7K5peXQLGDB08704304Db\ 8z94V4LjGEVA7F5EVK9KD4A6jZRCZq9Qc6HR38D`8qI4R6_gtH\ FS87pD9Z86H43fYHWPCLH8A842Ly1AVig6UT4FE2q4M9Ib6DT4\ 9J2499vL6gF4TA2E5NTBHL8BE5572Q82J61D41620tg4SM2L2H\ E1B705gtaMSJte1eV0SL0EA02Rg1IT09ECMO6BCEOMp_BZO7HC\ 3itOYeINSCBE6upGfbCTQ8ED41g9hzz0MUzr2jqK0fFzOABC57\ bdUEQhAJU7Dc36_RLOIEC970`50O30C1Da_8PO4CCZG6NA4B52\ _MgRGXIBM95Bk7oW4YG2HhheSDDI88944vlOi_RNIDt2fa1SJ0\ Es78e56S34E12ZunAgH7XCzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Re: [Fractint] Surprise Coming
by JackOfTradeZ＠comcast.net 12 Mar '10

12 Mar '10

. Awesome! Jim Now lemme see if I can aminate it .... .

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FOTD 12-03-10 (Surprise Coming [7])
by Jim Muth 11 Mar '10

11 Mar '10

FOTD -- March 12, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a Julia set of the East Valley of a minibrot rather deep in East Valley of the Z^(2.003)+C Mandeloid. I named it "Surprise Coming" because it holds a surprise. The teaser is that the surprise will not come until tomorrow's FOTD. As it stands even without the surprise, today's image, with its flashy colors, rates another 7. The calculation time of just over 3 minutes will cause no one any grief. Total satisfaction can never be guaranteed, but a trip to view the completed image on the new FOTD web site at: <http://www.Nahee.com/FOTD/> is sure to bring at least a little satisfaction. The image may also be seen for a limited time only on the soon-to-be-gone old FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The forecast for Thursday here at Fractal Central called for rain. What we got instead was a totally sunny day with a temperature of 68F 20C. The fractal cats were glad the forecast had been so wrong, and mocked the busted forecast by spending the afternoon in the sun on their southwest shelf. My day would have been uneventful if a fickle customer had not decided he did not like his job and called in to change the entire thing. FL thought it was amusing, since she never did like my idea, but I failed to see the humor. The next FOTD will be posted in 24 hours. Until then, take care, and grow with time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Surprise_Coming { ; time=0:03:08.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 periodicity=0 center-mag=0/0/2648/1/76/0 params=90/0/90/0/0.2758\ 107881858941/-0.006746958379780152/0/0/2.003/0 float=y maxiter=6000 inside=255 logmap=310 colors=000000XJaMCPB6CvGeFMQ7BDz82S51E20zEPS9GE48T\ UqJK_9AIaFgPATC5E8maeqz2`q1Rc1IR09DrtxdehRSUDUzVKz\ F6Sry4di3RV2DF1kisWU`GFIlxG_hCOU8CF4ixpNUQdz0zO0KG\ 0A80Ah06U03F0WvEGT7e08BrglGwZVoLih8xaGmRObGWT5faAz\ zFzzKe_DMj7LI6qU`_KOIACoqTQREURYKIMA9BdIQUDJK9DA46\ tZoqHX_BMI5B`xpvuDgf9TT6EE3aRzJDVBmg7XT3GE1Ul0M_0F\ O07CkPQWGHG88pONbIHQCBD65UuzaT1SL0JE0970EyqAic7VR3\ FDaQxSJhJDU96FwXTUGEhnyNwFFcA7K5peXQLGDB08704304Db\ 8z94V4LjGEVA7F5EVK9KD4A6jZRCZq9Qc6HR38D`8qI4R6_gtH\ FS87pD9Z86H43fYHWPCLH8A842Ly1AVig6UT4FE2q4M9Ib6DT4\ 9J2499vL6gF4TA2E5NTBHL8BE5572Q82J61D41620tg4SM2L2H\ E1B705gtaMSJte1eV0SL0EA02Rg1IT09ECMO6BCEOMp_BZO7HC\ 3itOYeINSCBE6upGfbCTQ8ED41g9hzz0MUzr2jqK0fFzOABC57\ bdUEQhAJU7Dc36_RLOIEC970`50O30C1Da_8PO4CCZG6NA4B52\ _MgRGXIBM95Bk7oW4YG2HhheSDDI88944vlOi_RNIDt2fa1SJ0\ Es78e56S34E12ZunAgH7XC5M8 } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 11-03-10 (Amber Thumbs [6])
by Jim Muth 10 Mar '10

10 Mar '10

FOTD -- March 11, 2010 (Rating 6) Fractal visionaries and enthusiasts: Well, I avoided another consecutive rating of 7, but I did it in the wrong way -- by creating an image with a rating of a 6. Yet a rating of a 6 is still a little above average, so why not settle down and enjoy the scene. With today's image we return for only one day to the workhorse MandAutoCritInZ formula. To create the parent fractal I sub- tracted Z^1.8 from Z^1.2 and added C. This parent fractal is a fairly normal Mandelbrot set rotated 180 degrees, so that its main spike darts out to the east, while its East Valley is on the west side of the main bay. So far, so good. But the East (west) Valley of the parent does not terminate in a point, it terminates in a broad wedge, with today's image being located on the southern edge of this wedge. The name "Amber Thumbs" now makes little sense, though I think it originally referred to the amberish elements surrounding the central minibrot. The rating of a 6 is at least honest, if not exceptional. The calculation time of 7 minutes borders on slowness. To avoid the risk of excess boredom, the finished image will soon be posted on the FOTD web sites at: <http://www.Nahee.com/FOTD/> and <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I advise using the first address. The latter address will soon be dropped. The clouds moved in on Wednesday here at Fractal Central, but the temperature of 59F 15C kept things quite pleasant. The forecast is for a week of mild wet weather, so we'll see how things go from here on. The fractal cats, who never concern themselves with the future, were still dis-satisfied however. They missed the sun of the past few days. My day was fair and mild. I hope for a repeat tomorrow. The next FOTD will be posted in 24 hours. Until then, take care, and what is most real -- myself, Bugs Bunny or the Mandelbrot set? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Amber_Thumbs { ; time=0:07:02.60-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.0291149242608349/-0.0446315664270709\ /1e+010/1/77.5/0 params=1/1.2/-1/1.8/0/0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000_OoaNqcLteKv6gPAdTDbWH`ZKYbNWeRUhUSkXPo`\ NrcLuZGh_Hi_Hj`HknNFlQDkTCjWAhZ9ga7fd6ef5ee4ed4ec4\ ec4eb4ea4e_4bWC_SKYPJYNIYOHYQGXSIWUHVXHW_HWbHXeIYe\ JZcJZ`K_ZK`XL`VLdQchLvcItZFsWHlTJfRL_ONULPOJRHGTBE\ U5EY5E`5Ec5Eg5Ej5Em5MSIT6UPESLMRIUQLVRNWRPXSRYSUZT\ W_TY`U_aUaeNchGek9ciGbhM`fS_eYYdcXbiVaoU`uRZpPXkMW\ fKUaITYOZWTcVZhTcmSefUg_ViTWkMXlFYzm_dT``_bXfcTmeP\ tfLzgNkZOYQPKHQ69_7Xh8sZ6lP5eF4Z63S9CNCKJFSEH_AMdB\ RiBVmC_rCcvC_qFWlISgLOcOzzzzvUzmWziPz_IzQBuK4mG7fD\ A_ADT6GK3JD0L6HSPXYV_bSYeQcaOiZMoWLtTrmteovUpwIrx6\ sycvHbrLbnObjRbfUZeYVdaRceNbhJalF`pB_t7ZwH`uRbs`dq\ jfojgnihliikhjihkhglfgmegndflefkffigfhhfgieMwfejfd\ kfbkfalf`mfZnfYofWpfVqfUrfSrfRsfPtfOufNvfLwfKxe4Zf\ 5`f6af7cf8df9ff9gfAifBjfCkfDmfEnfEpfFqfGsfHtfIvfJw\ PYySWxUUxWSxYQx`OxbMxdKx6lB8jEAiGCgJEfLFdNHcQJbSL`\ VM_XOYZQXaSVcTUeVThXRjZQm } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 10-03-10 (Something in Sight [7])
by Jim Muth 09 Mar '10

09 Mar '10

FOTD -- March 10, 2010 (Rating 7) Fractal visionaries and enthusiasts: I'll not try to explain the details of how today's image came to be. Suffice it to say it's a four-dimensional very-near-Julia thing of an East Valley area, made interesting by rendering the all-outside scene with the outside set to 'real'. I have lost track of how long the current string of 7-rated images has been going, but a rating of a 7 indicates an image that I consider above average, so why complain? The name "Something in Sight" sounds like it means something, while it actually has no meaning at all. The calculation time of a brief 1-1/2 minutes may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The FOTD images will remain available on the old web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> until A.T.T. takes down the site. Not a single cloud marred the blue of the sky here at Fractal Central on Tuesday. The spring-like temperature of 63F 17C simply added to the enjoyable conditions. The fractal cats, who always enjoy enjoyable conditions, enjoyed things as much as possible. They took turns basking in the strong afternoon sun coming through the large southwest window. My day was peaceful enough, though I did spend a bit too much time pondering the mysteries of things such as the nature of reality, time and space, life and death, God and the universe, and last but not least, the helplessness of our sorry excuse of a 'science' to give answers to such questions. (Don't knock it; it's all we got.) FL feels that too much such pondering can make one crazy. But with me, who would notice the difference? Regardless, the next FOTD, glorious or not, will be posted in 24 hours. Until then, take care, and why is there something instead of nothing in the world of fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_in_Sight { ; time=0:01:31.36-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=0/0\ /0.5/1/90/0 params=89.999998/0/89.999998/0/\ 0.25052381/0/0/0/2.003/0 float=y maxiter=1850 inside=0 outside=real periodicity=0 colors=000EAZFAQGAOHALIAIJACKADMAEOAFQAGSAHUAIWAJY\ FK_LLaQPcVUd`Zeecgjchocilhjjckh`lfYmdVnaSo_PpYMqWJ\ qUGmRDjPBgNCdLDaJEZHFWFESCDPACM8BJ6AG4AD2AA0AC1AE2\ AF3AH4AJ5AK6AM7AO8AP9ARAATBAUBFQIKMPUIVcEalAgp6nt3\ tx6rw9pwCowFmwIlwLjwOhwRgwUewXdwVfvUgvShvRiuPjuOlu\ MmtLntJotIptMnrPmpSknVjlYhj`ghcegfdeibclaao__rZYuY\ XpXYlWYhWYcVY_UYWUYSTYNSYJSYFRYBRYHOZMM_RK`WIa`Fbe\ DcjBdo9dpAbqB`rCZsDXtEVuFTvGRwGQqJNkMLfOI`RGWTEQWB\ KZ9F`69c44e2Fh8QjD`mIjoNohGlgIjgJgfKefLbeM`eNYdOWd\ PUdQRcRPcSMbTKbUHaVFaWDaXCe`BhcAkfAoj9rm8up8xsFqqM\ jpTcnZXmeQklJjrCidMcRWYDeS0oMybdu`bq_amZ`iX_eWZaVY\ YUXUSVQRUMQTIOSENRAMQ7LP5QS4UU3YW2aZ1e`0ib2bW3XQ5R\ K6LE8F8992GFANLIURQ`WYgaengmtlurioqgioecncYlaSk_Nk\ RTkJZkBdk3jj4kj4kj4li4li4mi4mh4nh4nh5ng5og5og5pf5p\ f5qf5qf5qf6oe7md8kd9hc9fbAdaBbaC``DZ_EW_FUZGSYGQXH\ OXIMWJJVKHVLFGQrHQoJRlKRh } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 09-03-10 (Trail to Nowhere [7])
by Jim Muth 08 Mar '10

08 Mar '10

FOTD -- March 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a near-Julia set of the west valley of the large minibrot on the amazing vanishing main stem of the (-Z)^(1.999)+C Mandeloid. And yes, there is no mistake. This minibrot has valleys on both the east and west sides of its main bay, while the main stem on which it used to lie has slipped off into some remote dimension. The image is double-rotated a mere 0.001,0.001 degrees from the true Julia orientation, but this tiny rotation makes a world of difference. Changing the imag(p2) parameter rotates the grossly enlarged Mandelbrot stuff that fills the interior of the almost- Seahorse-Valley outer Julia set. Most of the color effect with this image was achieved by render- ing it with the outside set to tdis and the logmap set to -3 At one time the name "Trail to Nowhere" had some meaning, but I have forgotten whatever that was. The rating of a 7 is becoming rather boring. It's time for a rating change, in the upward direction of course. The calculation time of 10 minutes is somewhat slow, leaving it to the viewer to decide if the result is worth the effort. The effort-free way to see the image is to view it on the new FOTD web site at: <http://www.Nahee.com/FOTD/> The old web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will be taken down within a week. The only clouds in the sky here at Fractal Central on Monday were a few thin, high contrails. The temperature of 61F 16C was just what the fractal cats ordered. They spent the entire after- noon basking on their window shelf, which is barely large enough to accommodate two fairly hefty cats. My day was pleasantly uncomplicated. If all goes well, tomorrow may be a repeat. The next FOTD image will be posted in 24 hours. Until then, take care, and why do serious scientists have such a hard time find- ing the ghosts that the ghost-hunters find so easily on those 'ghost hunter' TV shows? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Trail_to_Nowhere { ; time=0:10:20.40-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=0/0\ /8.9 params=89.99/0/89.99/45/-1.76505/0/0/0/1.999/0 float=y maxiter=12000 inside=0 outside=tdis logmap=-3 symmetry=none periodicity=6 colors=000pjzlj`ig_edZbaYZ_YWXXSUWMNVLMUILTFMVENYE\ RbEVfEZkEcpEgvEkzEnzDkzDhzCexCbtC_oBXlBVkBSiAQgANe\ ALc9Ia9G_9EZCEVEESNEPSEMVEIXEFaECfE9bE6ZFAVFDQGGPG\ KNHNMHQLHTOIURJUTKUWKVZLV`MVcMVfNWhOWkPWnPXpQXsRXu\ RXpTWkUVgWVbXUYYTU_TP`SLaSJZXIX`HUdFShEPlDNpCLtLkK\ IhPGfTDdXBba8`e6Zi7Jo6Nn5Qn4UmIPzFRxCTu9Ur6WooqLhn\ QakUVhYOeaHbeA_iIo_GlaEicCfeAdg8ai6ZkzK9pNGfPNXRUN\ T`DVgduyZqwUmuPjsJfrEcp9_nmbYga_a`aW_cR_eLZgFYi9Xk\ GvhEriDojBljAik8el7bl5_mF9pCEoAJn8On6TmvVqVWoagrTd\ pLaoCZnpExSOrvr_cjdMci6zN5m`dEmZHmUKmPNmJPmESm9VmV\ 7PPDUKIZENcveevhgvjivmjvolvrnvtouokukhufeubbuYZuUW\ uPTuLQNizsigshdsgasf_seXseVlaPfYJ`UEgPCmLAsH9tJCtK\ FtLItNLtOOtPRuRUuSXuT_uVbuWeuXhuYjqWimVhiUhfTgQiVT\ mWWqXZtYaxZdz_gz_hzZhvYirXimXjiWjeVmdTjaVh_WeYYcWZ\ `U`ZSaWQbUOdRMePKgMIhKGjHEkC7kFClIGmLLmOPnRTnUYoXa\ o_epbjpenqgrqhsrhsshstspb } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 08-03-10 (No Minus Rectangle [7])
by Jim Muth 07 Mar '10

07 Mar '10

FOTD -- March 08, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene in a near-Julia set of the area where the rectangles appear in the Z^(2.003)+C Mandeloid, but the formula has now been changed to (-Z)^(2.003)+C. The sign change makes little change in the appearance of the parent Mandeloid fractal, but the rectangles have totally vanished from the Julia sets, and in their place we find a great variety of figures. Today's image is a sample of the things that have replaced the rectangles. The name "No Minus Rectangle" indicates that as far as I know, no rectangles will be created by today's formula. The rating of a 7 is above average, but I think the image, with its feeling of infinite depth, is truly above average. The calculation time of just under 5 minutes is just about what I feel the image is worth. Those who do not enjoy running parameter files may view the image on the FOTD web sites. For a few more days the finished images may be viewed at both: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://www.Nahee.com/FOTD/> after that, the images will be available on only the second site. Perfect late winter weather prevailed here at Fractal Central on both Saturday and Sunday. On Sunday the temperature reached 57F 14C and not a single cloud was seen all day. The fractal cats enjoyed the conditions to the utmost. My day Saturday was busy as I tried to keep up with FL in the antique emporium; Sunday was reasonably uneventful. The next FOTD will be posted in 24 hours. Hopefully, it will be quite eventful. Until then, take care, and don't ask too many ques- tions that cannot be answered. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= No_Minus_Rectangle { ; time=0:04:56.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 maxiter=3200 center-mag=+0.076375565/+0.094288569/7083/1/54.5/0 params=89.999/0/89.999/128.183/-1.747195/0/0/0/2.0\ 03/0 float=y inside=0 logmap=-25 periodicity=12 colors=000OAKOAKOAKNAKNAKMAKMAKLAKLCKKGKKKKKNKKRKK\ UKKYKK`KKdKJhKIkKJoKKrKLvKMyKNxKRxKVwKZwKbwKfvJjvJ\ nuIruHsvHtwKuxNvyPwzSxzVyzXwz_wzawzdwzgwziwzlwzowz\ qzztzzvzzxzztzzpzzlzzizzezzhzzkzzdzzYzzRzzKzzEzzOd\ rYaqf_pgZpgYpgXpgWpgVpgBm4cT7bSBbSEaRHaRL`QO`QRZMQ\ XJPVGOTDNaOUjY`rggqcbq_YqWUqSPqOLqKGqGCXXDClEWWBnF\ 8lLEkRJiXOhbUfhZemcbeg_YkXRnUJrRBvO4yQAqSFjTKbVPWX\ VOY_H_d9`i2Uf5Od8HbBB`DaWqaRoaPmaNlaLjaJhaHfaBgaFe\ aIdaLbaOaaS_aVZaYXd_Va`W_aWYbXVcXTdYRdYOeZMfZKg_Hh\ _Fi`EgaDi`Dj`Ck`Cl_Cm_Bo_Bp_AqZArZAsZ9uZ9vY8wY8xY8\ yYCwUGuRKsOOqLSoIWmF_kCci9gg6kf3lb8l_DmXImUNnRSnOX\ oKaoHfpEkpBpq8uq5yp9wpCupFsoJqoMpoPnoTlnWjnZhnbgne\ emhcmlamo_lsTmrZmqcmphqwsmpmjjhgdccZZ`TUYNPUKKRBFO\ 5ANHJNTRNdZNpfModMncLnbLmaLm`KlZKlYJkXJkWJjVIjTIiS\ HiRHhSJjUHhWGiYEj_DkaBlcAmeE0qV3s`5u_8w_AwZCwZEwTg\ zTUzS`zSUzRdzRUzQazQUzOfz } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Re: [Fractint] [XD] Does the world's 1st 3d fractal carved in stone already exist?
by Tony (Anthony) Hanmer 07 Mar '10

07 Mar '10

The giant crystal cave in Mexico - NEEDS to be preserved. Wow. D-Shape - the future is HERE, sci-fi has arrived on our doorsteps. Soon I predict it'll become affordable to the masses as well as to big corporations. On 6 March 2010 21:30, Paul N. Lee <paul.n.lee(a)att.net> wrote: > > > Tony (Anthony) Hanmer wrote: > > > > If not, what will it be? A quaternion, > > IFS, L-system, flame type, part of the > > new Mandelbulb, or something else entirely? > > For whomever has the money (not cheap) and > > the work ready.... > > > > > You may be interested in the following: > http://www.dezeen.com/2009/06/22/radiolaria-pavilion-by-shiro-studio/ > > And Terry Gintz has been involved with lapidary for the past few years, > and I have seen a photograph of a fractal carving he did. He may have > it still there at: http://www.mysticfractal.com/carvings/ > > And there are some other carvings around the Internet, if one wishes to > do the searching. > > Sincerely > P.N.L. > -------------------------------------- > http://www.Nahee.com/PNL/Fractals.html > http://www.Nahee.com/Fractals/ > > __._,_.___ > Reply to sender<Paul.N.Lee@att.net?subject=Re:+%5BXD%5D+Does+the+world's+1st+3d+fractal+carved+in+stone+already+exist?>| Reply > to group<xenodreamers@yahoogroups.com?subject=Re:+%5BXD%5D+Does+the+world's+1st+3d+fractal+carved+in+stone+already+exist?>| Reply > via web post<http://groups.yahoo.com/group/xenodreamers/post;_ylc=X3oDMTJwanE4b2NrBF9TAz…>| Start > a New Topic<http://groups.yahoo.com/group/xenodreamers/post;_ylc=X3oDMTJlc3ZzMG9iBF9TAz…> > Messages in this topic<http://groups.yahoo.com/group/xenodreamers/message/3705;_ylc=X3oDMTM0YTNkNm…>( > 2) > Recent Activity: > > - New Members<http://groups.yahoo.com/group/xenodreamers/members;_ylc=X3oDMTJmZWc2OTE2BF9…> > 1 > > Visit Your Group<http://groups.yahoo.com/group/xenodreamers;_ylc=X3oDMTJlOGo2YzVoBF9TAzk3MzU…> > Unsubscribe: email to xenodreamers-unsubscribe(a)yahoogroups.com > > [image: Yahoo! Groups]<http://groups.yahoo.com/;_ylc=X3oDMTJkMGUzNHBzBF9TAzk3MzU5NzE0BGdycElkAzM2M…> > Switch to: Text-Only<xenodreamers-traditional@yahoogroups.com?subject=Change+Delivery+Format:+Traditional>, > Daily Digest<xenodreamers-digest@yahoogroups.com?subject=Email+Delivery:+Digest>• > Unsubscribe <xenodreamers-unsubscribe(a)yahoogroups.com?subject=Unsubscribe>• Terms > of Use <http://docs.yahoo.com/info/terms/> > . > > __,_._,___ >

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Does the world's 1st 3d fractal carved in stone already exist?
by Tony (Anthony) Hanmer 06 Mar '10

06 Mar '10

If not, what will it be? A quaternion, IFS, L-system, flame type, part of the new Mandelbulb, or something else entirely? For whomever has the money (not cheap) and the work ready, here's a likely place to have it done: http://digitalstoneproject.org/ Tony Hanmer www.geosynchronicity.blogspot.com

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FOTD 06-03-10 (Complex Situation [7])
by Jim Muth 05 Mar '10

05 Mar '10

FOTD -- March 06, 2010 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's FOTD we added 0.001i to the real 2.003 exponent of Z. Today we raise the stakes and add 0.5i. The parent fractal is quite twisted, but East Valley is still discernible, where the elephants still romp. Today's image is located in a trunk of one of the elephants, though perhaps a woolly mammoth would be a better description of the fractal pachyderm. The image shows quite clearly what happens when a complex power of Z with an increasingly large imaginary part is iterated. The features break up until ultimately all order is lost. Today's image was captured before the breakup progressed too far. The typical East-Valley-spiral features are still there, though they are totally disorganized, and all trace of the 2,4,8... series is gone. (It is hard to have an imaginary number of elements around a minibrot.) The image is still rather interesting how- ever, and I decided to rate it at a 7. The name "Complex Situation" describes the scene, which will grow ever more disorganized if the imaginary part of Z is increased. The brief calculation time of 1-3/4 minutes will cause no impatience. A simpler way to view the image is to view it on the new FOTD web site at: <http://www.Nahee.com/FOTD/> or on the old site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The old site will soon be taken down however. Near total sunshine and a temperature of 48F +9C here at Fractal Central on Friday gave the local fractal cats a pleasant after- noon on their sunny shelf. My day began busy in the morning but turned peaceful in the afternoon once the real (compared to fractal) work was out of the way. FL took the afternoon off to watch the continuing earthquake (terremoto) and tsunami coverage from Chile, which FL says is celebrating its 200th anniversary this year. The next FOTD is scheduled to be posted in 24 hours. But don't be disappointed if it fails to appear on schedule. You know how prone we are to sudden antiquing trips on Saturdays here at FC. Until whenever, take care, and if the unfortunate people of this world will have it better in heaven to make up for their earthly suffering, does this mean that the fortunate will have it less good in heaven simply because they suffered less during this life? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Complex_Situation { ; time=0:01:44.22-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.284915614\ 605923/+0.06862604147999228/2.851903e+009/1/7.5/0 params=0/0/0/0/0/0/0/0/2.003/0.5 float=y inside=0 maxiter=1800 logmap=240 periodicity=6 colors=000ZLzWRt_9Z_7YX9ZVAZSB_QD_NE_LF`IG`GI`DJaB\ Ka9LaAJ_BIYBGWCFUDDTDCREAPE9NF7MG6KG4IH3GH2FG3HG4J\ F5LF5NF6PE7RE7TE8VD9XDAZDA`CBbCCdCCeEEcGFaHG_JHYKJ\ WMKUNLSPMRROPSPNUQLVRJXTHYUF_VD`WCbXEdYGfYIgZKi_Mk\ _Om`QnaSpaUrbWsbYmcagdeaehWflQgoKhsEhvGgtIfrKfqMeo\ OemPdlRdjTchVcgXbeYbd__caXbcUaeR`gO`iL_kIZmFYoDYMT\ AYS8hS6fdDccG`aJY`LWZOTYQQWTNVWKTYHS`JRhHReFRbER_C\ RXBRV9RS7RP6RM4RJ3RH9SKFSMLSPRTRXTUaSVeRXbTW`UWZVW\ WXWUYWSZWP`VNaVLbVIdVGeVEfVCgVEdUFbUG`UHZTJXTKUTLS\ SMQSOOSPMRQJRRHRTFQUDQVBQW9QYBT_DVaFXcGZeI`gKciMek\ NgmPioRkuTrqSmmRiiReeQaaPXYPTUOPQNLMNGIMCEL85K3AL4\ EL4JL4NL4SL4WL4`L4dL4iL4mL4rP1qN3qL4qJ6qH7pF8pDApC\ BpADo8Eo6Fo4Ho2Io1Jj3If5Ib7HZ9HVAHZ98XJDVSHTUMRWQL\ YRL_QMaQOcQReQUgPXiP_kObmOepNhpNkoMnoMqoMtoKwoJzoI\ zoHzoGzoKzoPzoUzoZzoczphzqmzrrzsvztzzuzzvzzwzzxzzy\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 05-03-10 (All in the Mind [7])
by Jim Muth 04 Mar '10

04 Mar '10

FOTD -- March 05, 2010 (Rating 7) Fractal visionaries and enthusiasts: In today's image I tried something I very rarely attempt. I added 0.001i to Z^2.003 in the exponent of Z, making it a complex number. This small imaginary component made a big difference in the parent fractal, especially along the negative X-axis, where the axis splits and the negative imaginary part slips east. Today's image lies in the East Valley area of the upper half of the split-apart minibrot on the negative stem of the parent. (The minibrot is better seen than described.) The image is filled with the same rail-yard effect that infests this area of the straight Z^(2.003)+C Mandeloid, though the imaginary part of the exponent has added additional rail lines. After carefully considering the image for about 20 seconds, I rated it at a 7 and named it "All in the Mind", which after all is where the world of imagination (and imaginary numbers) lies. But as the existence of the image clearly shows, when a thing is imaginary, this in no way implies it is not as real as the very convincing but (IMO) illusory physical world surrounding us. The included parameter file will finish in one minute on a fast P4-2000mhz unit, as long as the machine is not over-qualified. Those with over-qualified units may see the finished image on either the old FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or on the new site at: <http://www.Nahee.com/FOTD/> I advise viewing the image on the new site. The old site will be taken down in a few days. Near total sun and a temperature of 45F +7C here at Fractal Central on Thursday made the resident fractal cats very happy. They took full advantage of the situation by spending most of the afternoon sunning themselves on the shelf by the window. My day featured average dullness. The next FOTD will be posted in 24 hours. Until then, wait anxiously, and idealists do not have to prove that the objective world is not real; materialists must prove that it is real. (IMO the concept of reality is not real.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_in_the_Mind { ; time=0:01:01.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-1.751158192\ 838907/+0.0144570342532074/2.480644e+008/1/-25/0 params=0/0/0/0/0/0/0/0/2.003/0.001 float=y maxiter=1500 inside=0 logmap=173 periodicity=6 colors=000SElUBnVNzW7tU6kS6cQ5WP5ONANMFMLKMKQLJVLI\ _KHeKUjUZpccvcgzcmscwkMzdOEXQEPSEJUDMaDPiDSqDUyHVw\ KVvNVuQVsUVrXVq_VobVneVmeUkeTjeSieRheQgePfeOeeNdeM\ ceLbeKaiRblXbocbribzobzl_zjYzhWzgUvdSsbQs_OqYLpVJo\ SHoQFnODnLBmJ9mH7gI6aI5WI5RI4LI3FI39I24I23H43H53H7\ 3H82G92GB2GC2GD2GF1FG1FH1FJ1FK1FL9JJGNINRGUVF`YEaA\ 6YIAUQDQXGMdJczMcwPGqMIkKJeIL_GMVEMVELVEKVDKVDJVDJ\ WCczCctCcoBUfBKZBFSAEMADXADX9CX9BX9BX8AX8tsZsrYrrY\ rrXqqXpqXpqWopWopWnpVmpVmoVloU8LWAKTCJQDINFHKHGHJF\ EKEBNGDQHETIGWKHZLJaMKdNLZOPTPTNQXHR`CRdFXbHaaJf`L\ kZNpYPuXOrVOpUNmTNkRMhQMfPMcOLaMLZLKXKKUIJSHJPGJNF\ NPJQRNUSRXUV`WZcXbfZfj`jmanqcrtevwfzrcym`xhYxcVwZS\ wUPvQNvTKtVIsYGr_Eqbcpdeoggni_ml`lnakpbjqbiqciqciq\ diqezrfzrgzrizrkzrmzrrznvzkzzzzzlzzkzzjzzizzizzfzz\ czzzzizzezzazzYzzUzzQzzMzzIzzEzzAzz6zz5zz5zz5zz4zz\ 4zz4zz3zz3zz3zz2zz2zz2zzj } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 04-03-10 (Half-and Half [7])
by Jim Muth 03 Mar '10

03 Mar '10

FOTD -- March 04, 2010 (Rating 7) Fractal visionaries and enthusiasts: If the Julia set of a Z^(2.003)+C Mandelbrot rectangle is an octagon, what would we see if we checked half-way between the Julia orientation and one of the other orientations -- a hexagon? Actually, when the octagon is double-rotated halfway toward the Mandelbrot direction, it has long since become a perfect rectangle. In fact, it morphs into a rectangle well before the double rotation reaches one degree from the Julia plane. Today's image shows how our Julia octagon appears when its orientation is rotated only 0.000065 degree toward the Rectangular direction. It certainly does not appear as an octagon, though the eight vertices are still vaguely discernible, and it is nowhere near appearing as a rectangle. In fact, it is hard to believe that the weird shape will ever morph into a rectangle. But strangeness is a way of life in the world of fractals, and with quite a bit of stretching and a bit of skewing, the pointed shape in the center of today's image will be a near-perfect rectangle by the time it is rotated to the Oblate direction. The name "Half-and-Half" does not refer to coffee creamer. It means that the shape in the image is halfway between its Julia shape and the Oblate shape. The rating of a 7 is above average, which makes the image's calculation time of just under 2 minutes reasonable enough. The most reasonable way to view the finished image however is to view it on the FOTD web site, which for another 10 days or so may be accessed at both the following addresses: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or <http://www.Nahee.com/FOTD/> Wednesday began with light snow here at Fractal Central. The snow ended by midday, leading to a cloudy afternoon with occasional sprinkles of rain and a temperature of a seasonable 43F +6C. The fractal cats would have preferred more sun, but a special treat of salmon (we were out of tuna) eased their disappointment. My day was normal. FL is still watching the continuing 24-hour earthquake coverage on TV-Chile. (It looks riveting; it's too bad I don't understand Spanish.) If all goes well, and why should it not, the next FOTD will be posted in 24 hours. Until then, take care, and if one wants nothing, he is certain to get everything he desires. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Half-and-Half { ; time=0:01:51.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.000001843\ 04564558/-0.00000312570156525/33523.52/1/-120/0 params=89.999935/0/90/0/-1.743397953167458/1.66204\ 6652e-005/0/0/2.003/0 float=y maxiter=1800 inside=0 colors=000pYRr`TsdVthXulZvo`vmavkbvibvgcvedvddvbev\ `fvZfvXgvVhvUhsRiqPioNilKijIihGieDicBia9i_7iZAfZCc\ YE`YGZXJWXLTWNQWPOfQMXVWN_dDdmHYbKRTPXUTaVYfWakX_l\ WYlVWmVUmUSmTQnTOnSNnSLoRJoQHpQFpPDpOBqO9WW8VW7UW7\ TW7SW7RW7QW7PW7OW7MX7JY7DZ8GX8IW8LU8NT8QR8SQAVOEXN\ I_LMaKQaIY_HbYFgWElU9qS5mQ6gP7aO8XN9RLAMKBKJCKIDK9\ 7K11K34K56K78K9AKBCKDFJFHHHJFJLEKNHNMKQMNTLQWLSYKV\ `KYcJ`fJbhIekIhnHkqHnvDmsHlpLlmPkkTkhXje`jcci`giYk\ hWohTsgQwgOzbMuZKpVIkRGfMEaICXEASA9OAANBBLBCKBDJBE\ IBFHBGGe`mZWfTS_NOTHKMLL9JKBHJCFIDDUE1YA2`B3_B4YC5\ WC5UC6SD7RD8PE8NE9LEAJFBHF85L98JAAIACHBEGahXZeVXbT\ U`SSYQPVONTNKQLzNJzLIzIGzbpzXfzRYzzOzzJzzIzzIzzHzz\ HzzGzzGzzFzzEzzFzzFzzFzzFzzFzzFBOFBKFsGAoGBlGBhGCe\ GCaGCZGDVGDSGEOGELGEHGFEGF1sA4iC6_D9QEyFewGduGcsGb\ qGaoG`nG_lGZjGYhGXfGWdGVcGUaGT_GSYGRWGQVGPTGORGNPG\ MNGLLGKKGJIGIGGHmMLnQNoUP } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 03-03-10 (Octagon Tendencies [!!])
by Jim Muth 02 Mar '10

02 Mar '10

FOTD -- March 03, 2010 (Rating !!) Fractal visionaries and enthusiasts: Yesterday's image showed a Minibrot in the Z^(2.003)+C Mandeloid with strange rectangles surrounding it. Today I checked the Julia set of one of these rectangles. The rating of a !! (double bang) reflects how I felt when I saw the Julia set. Instead of the Julia rectangle, I found a near- perfect octagon. To add to the surprise, the Julia octagon is surrounded by the rectangles that were expected all along. All I can say about the situation is 'who knows what wonders lurk in the hearts of fractals'. I'll check further into this situation tomorrow, and if anything interesting turns up, (most likely it will), it will appear as tomorrow's FOTD image. Today's image is named "Octagon Tendencies". A quick glance at the image will reveal why I chose this name. The calculation time of 2 minutes is well within reason. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image is equally reasonable. For the next 2 weeks or so, the FOTD web site can be accessed at both the old address given above and the new address, which is: <http://www.Nahee.com/FOTD/> after that, the old address will be discontinued. Cloudy skies here at Fractal Central on Tuesday were made more pleasant by the relatively mild temperature of 46F 8C. At least the fractal cats assumed it was so as they spent several hours on the window shelf even though no sunlight was falling on it. My day was uneventful though a bit busy. The next FOTD will be posted in 24 hours, come heck or tsunami. Until then, take care, and rational skeptics know they are right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Octagon_Tendencies { ; time=0:01:59.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/30147.06 inside=0 params=90/0/90/0/-1.743397953167458/\ 1.66204665216e-005/0/0/2.003/0 float=y maxiter=1800 colors=000pYRr`TsdVthXulZvo`vmavkbvibvgcvedvddvbev\ `fvZfvXgvVhvUhsRiqPioNilKijIihGieDicBia9i_7iZAfZCc\ YE`YGZXJWXLTWNQWPOfQMXVWN_dDdmHYbKRTPXUTaVYfWakX_l\ WYlVWmVUmUSmTQnTOnSNnSLoRJoQHpQFpPDpOBqO9qN8qN7_P7\ YQ7WR7US7ST7QV7OW7MX7JY7DZ8GX8IW8LU8NT8QR8SQAVOEXN\ I_LMaKQaIY_HbYFgWElU9qS5mQ6gP7aO8XN9RLAMKBKJCKIDK9\ 7K11K34K56K78K9AKBCKDFJFHHHJFJLEKNHNMKQMNTLQWLSYKV\ `KYcJ`fJbhIekIhnHkqHnvDmsHlpLlmPkkTkhXje`jcci`giYk\ hWohTsgQwgOzbMuZKpVIkRGfMEaICXEASA9OAANBBLBCKBDJBE\ IBFHBGGe`mZWfTS_NOTHKMLL9JKBHJCFIDDHE1cA2aB3_B4YC5\ WC5UC6SD7RD8PE8NE9LEAJFBHF85L98JAAIACHBEGahXZeVXbT\ U`SSYQPVONTNKQLzNJzLIzIGzbpzXfzRYzzOzzJzzIzzIzzHzz\ HzzGzzGzzFzzEzzFzzFzzFzzFzzFzzFBOFBKFsGAoGBlGBhGCe\ GCaGCZGDVGDSGEOGELGEHGFEGF1sA4iC6_D9QEyFewGduGcsGb\ qGaoG`nG_lGZjGYhGXfGWdGVcGUaGT_GSYGRWGQVGPTGORGNPG\ MNGLLGKKGJIGIGGHmMLnQNoUP } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 02-03-10 (Mandel Rectangles [8])
by Jim Muth 01 Mar '10

01 Mar '10

FOTD -- March 02, 2010 (Rating 8) Fractal visionaries and enthusiasts: As I said in yesterday's discussion, the strange rectangles exist in the East Valley area of the large split-apart minibrot on the negative X-axis of the Mandelbrot set of the formula Z^(2.003)+C. And to prove my point, today's image shows a minibrot surrounded by a whole flock of rectangles. I have highlighted the rectangles by rendering the image with the inside set to brilliant white. I rather enjoy the overall pattern surrounding the minibrot, which would be worth a FOTD even without the rectangles. With the rectangles included, the image rates an 8. The name "Mandel Rectangles" explains itself. The calculation time of 1-1/2 minutes will pass like greased lightning. A trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted for instant happiness, will pass even faster. But note that in a few days the address of the web site will change. I will post the new internet address in tomorrow's FOTD. The partly cloudy skies and temperature of 45F +7C here at Fractal Central on Monday kept the fractal cats leaping on and off their window shelf. They finally gave up trying to catch the sun and settled for an extra treat of tuna. My day was rather busy. The next FOTD will be posted in 24 hours. Until then, take care, and walk with your heads held high. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Rectangles { ; time=0:01:35.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 float=y center-mag=-1.743397952568624/+0.00001662025822986\ /1.66e+008/1/-60/0 params=0/0/0/0/0/0/0/0/2.003/0 maxiter=1800 inside=255 logmap=212 periodicity=6 colors=000AFFAEGACHAAIA8JA6KA4LA3MA5NAAO5KPCQRJWTQ\ `VWdXbdbibfp`kv_oqVgmQ`iLUeGNLQX1_e3Xg4Vh5Th7Qh8Oh\ 9MhAKfCHeDFdEDcFBcH8dI6eJ4gK2iL5eL8bMB_MEXNHWNKUON\ SOQQPTMPWIQZEQaAQd6Mg8JjAGmCCnEmpz6rImsJ6qzmqImpzm\ pHzozmoGznGznzmmFmmFXmzmjCQcANXKJQ6GJKDC2A5KF4KJ4A\ N4ER4JW3O_3Xc3cg3hl2mpArtKvzSzzUzzSzzMzvGsrKmmNlhK\ ecHZZESUBLK600000000000JH7RO9ZWBfcDnjEdkEWlEMlEDmE\ 4mD6lC7lB9kAAk9Bj8Dj8Ej7Fi6Hi5Ih4Jh3Lg2Mg2Ng6IYAEP\ EAGH67SLLaZYbYZcY_cX`dXaeWbeWcfVdfVdgVehUfhUgiThjT\ ijSjkSkkSkfTkbUkYUkUVkPVkLWkGXkCXk7Yk3Yk6_g8`cAb_C\ cWEdTFfRGgQHhPIiOJjNKkMLzLMzJNzIOzHPzGQzFRzESzDTtC\ SzBRzBzzBm`AQWAPRAPMAOH9OC9N79N29R3DV3HZ3Lb4Pf4Tj4\ Xn5`r5dv5hy5laYzE0zD0zD0zC0zC0zC0zF0zI0zK0zN0zQ0zS\ 0zV0zY0z_0zZ0zZ0zZ0zZ0zY0zY0zY07Y05Y04X08W0CV0GU0K\ U0N_0Vd0bj0jo0rt0zs0ys0xs0xs0ws0vr0vr0ur0tr0tr0sr0\ se0tU0tI0tJ0qK0nL0lM0izzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Re: [Fractint] pakman fractal
by JackOfTradeZ＠comcast.net 01 Mar '10

01 Mar '10

. Jay - are YOU the original author of theFRM/PAR file for the pakman? If so I will credit you on my website. Let me know. And yes, I did vary the parameter as you suggested - just over a wider range. .

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Re: [Fractint] Ansers to Queshuns
by JackOfTradeZ＠comcast.net 01 Mar '10

01 Mar '10

. ""There's also a *nifty visual effect* caused by the brain's visual system that appears after watching the video. (See below for more about this.)"" It was the 1st thing I noticed; You also get this with some of my other viddies that have prolonged rotation sequences, like "cyclone" and "waltz of the pixels", to name just 2. This phenomenon is well known for a long time, the web is FULL of videos to trick your eye/brain. ""Does anyone else feel this 'out of control' vertigo effect?"" As for vertigo, uhh ... no, I don't get that. But then I am used to climbing 500 foot cliffs and jumping out of airplanes so I don't get perturbed so easy ... ""JackOfTradeZ, I'm curious as to why you zipped your WMV video file"" Old habits die hard. I always zip attachments for upload. Previous compression codecs made a difference; for some people a 30 vs 26 MEG file can make the download decision for them. This was a new codec, with the most recent MS Media Encoder; yes it appears very efficient. And some security suites block multimedia files (they can contane malware, and often do). But there is always an exception for ZIP since it's so common. The MAP: yes it's cool; I may use it in future work. Unfortunately, most of the colors didn't come out in the animation, except near the very center with the pakman image. ""Pakman Fractal Authorship"" No, it wasn't clear who to credit from the initial post, I just figured it wasn't a Muth thing. So I left it open on my web site. (I can always edit it later). ""Are the sequences of Fractint keystrokes I include in some of my posts ever of any use to anyone?"" I'm not sure what you are talking about. Anyone who has been using fractint for a while knows the keys? .

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FOTD 01-03-10 (Rectangularitis [6])
by Jim Muth 28 Feb '10

28 Feb '10

FOTD -- March 01, 2010 (Rating 6) Fractal visionaries and enthusiasts: Just when I thought I had seen all aspects of the Z^2.003 rectangle and had a vague comprehension of its full 4-D shape, I made a slight parameter change and the rectangle went crazy. It became a zig-zag thing better seen than described. The rectangle exists in its most perfect form in the Julia plane. Similar much smaller rectangles exist in the patterns around the minibrots in the Mandelbrot plane, but the original Julia rectangle totally vanishes in the Mandelbrot orientation. The Julia rectangle also extends into the Oblate and Rectangular orientations, and in the rotations between these orientations, though some degree of stretching and skewing is necessary to pre- serve the rectangular shape. I have not yet carefully checked the Elliptic and Parabolic planes, though I have no reason to doubt that traces of rectangularity exist there also. Such rectangles exist only in fractals with exponents of Z very close to 2.003. I have checked the Julia sets of the same area of the Z^4.003 Mandeloid and found no traces at all of a rectan- gle. As to why the Z^2.003 Julia sets seem so blessed with rec- tangles, I have no idea. Only the deity of numbers knows why, and he isn't talking. I named today's image "Rectangularitis" and rated it at a 6, which in my perhaps too-humble opinion is what it's worth. The calculation time of just under 3 minutes seems to be pretty standard for rectangle views when the maxiter is set at a some- what excessive 32767. All this calculation may be avoided however by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But keep alert if you view the images on the FOTD web site! The internet address of the site will change in about one week. Sunday here at Fractal Central began with a heavy snow shower that left 2 inches or 5cm of fresh fluffy snow on the ground. But when the sun came up, the snow melted away as fast as it had fallen, and by midday the streets were totally clear. The fractal cats took it in stride. My day was acceptable; FL spent most of the day watching the earthquake coverage on TV-Chile. The next FOTD, maybe or maybe not more rectangular stuff, will be posted in 24 hours. Until then, take care, and except for those who put their faith in reason, it's irrational to believe that all questions have a rational answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rectangularitis { ; time=0:02:53.85-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/4508.257\ /0.0159/90/-55 params=0/90/0/90/-1.7435/0/0.00019/\ 0.07682/2.003/0 float=y maxiter=32767 inside=0 logmap=63 periodicity=6 colors=000CD6DE7DF8DG9DHADIBDJCEKDELEEMFENGEOHBPID\ QJERKFTNGWRIYVJ`ZKccLehNhmOkrPnvHpzMqzQqzUrzYrzasz\ mzzzzzetzarvYmrUjmRfhNbcJZZFVUBSP8PK9MF9KA9I8FG6KE\ 4PC3UF5ZI6cK8hN9mPBrSCvUEzXFzZGvZHrZImZJhZKcZKZZKU\ YLSXLTXLVWMXWMYVM_VMaUNbTNdTNfSOgSOiROmSGjROgQWdPc\ aOkRCwWIt_NrcSohYmlbjpghxnktlfqjanhYkfThdOtw0ecKRK\ bCEaC1uE6pGBkIGgKLbMQZOVUQ_QSdLUiHWnCZt2Ys8YrEYqKY\ pQYpVYo`YnfYmlcuuYmqSfmMZiGSeAKa4AX5DY5GZ5JZ5M_5P_\ 5S`5V`DZXLbUTfR`iNhmKpqHzzAxwCwtEvrGuoItlJsjLrgNqd\ PjwMmlOpbQsSRvITx8Ux7Rx6Px6Mx5Kx4Hx4FpCGhJHaRIUYJZ\ q1NdK9UfBTdCSbER`FQZHPXIOVJNTLMRMLPOKNPJLhHNZILQJJ\ 29RAEMHJHOOCTP4jfllbjm_inXhoUgpRfqOevEatIcrLdpOfnR\ gmUikXji_lgbmdjsegpfengblh`jiZhjcfkcdlcamc_ncYocWp\ cUqcSrmQpmOnmMmmKkmIimGhmEfmCzzAzz8zz6zz3zz5zz6zz8\ zz9zzBzzCzzEzzFzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 28-02-10 (A Wrecked Tangle [?])
by Jim Muth 27 Feb '10

27 Feb '10

FOTD -- February 28, 2010 (Rating ?) Fractal visionaries and enthusiasts: As expected, (or feared), we did go on an antiquing expedition on Saturday. The reward was a new rug for the hallway and a fresh supply of murder-mystery novels for FL. Luckily, we returned in time for me to create a FOTD. Too bad it's a near- repeat. Yesterday's image showed the Oblate aspect of the strange rectangle. Today's image, which uses the same color palette, rotates the view 90 degrees to show the Rectangular aspect (imag(C),imag(Z), of the rectangle. Viewed from this direction, the rectangle itself appears pretty much the same, while the pattern around it has shifted from origin symmetry to Y-axis symmetry, (The frame is rotated 90 degrees). Actually, the symmetry is illusory. A close examina- tion will reveal small differences between the upper and lower halves of the image. I named the image "A Wrecked Tangle", which is a play on the word 'rectangle'. I gave the image a rating of a question mark -- the reason -- how many times must we be treated to the same rectangle? The calculation time is under 3 minutes, a time that will not place an undue burden on the aspiring fractalist. The image may also be viewed and enjoyed by surfing to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. About 2 inches, 5cm, of additional snow fell overnight Friday here at Fractal central. Saturday was cloudy and blustery, with a temperature of 39F +4C and occasional showers of snow. The fractal cats cared more about keeping close to the heat than the outside conditions. Despite the antiquing expedition, my day was good enough. The next FOTD will be posted in 24 hours, more or less. Until then, take care, and forget a meaningless posi- tive attitude, have positive results. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Wrecked_Tangle { ; time=0:02:57.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/-0.0049947\ 0191150570/7730.625/0.01592/90/0 params=90/90/0/90\ /-1.7435/0/0.00019/0.07388/2.003/0 float=y maxiter=32767 inside=0 logmap=76 periodicity=6 colors=000CD6DE7DF8DG9DHADIBDJCEKDELEEMFENGEOHBPID\ QJERKFTNGWRIYVJ`ZKccLehNhmOkrPnvHpzMqzQqzUrzYrzasz\ mzzzzzetzarvYmrUjmRfhNbcJZZFVUBSP8PK9MF9KA9I8FG6KE\ 4PC3UF5ZI6cK8hN9mPBrSCvUEzXFzZGvZHrZImZJhZKcZKZZKU\ YLSXLTXLVWMXWMYVM_VMaUNbTNdTNfSOgSOiROmSGjROgQWdPc\ aOkRCwWIt_NrcSohYmlbjpghxnktlfqjanhYkfThdOtw0ecKRK\ bCEaC1uE6pGBkIGgKLbMQZOVUQ_QSdLUiHWnCZt2Ys8YrEYqKY\ pQYpVYo`YnfYmlcuuYmqSfmMZiGSeAKa4AX5DY5GZ5JZ5M_5P_\ 5S`5V`DZXLbUTfR`iNhmKpqHzzAxwCwtEvrGuoItlJsjLrgNqd\ PjwMmlOpbQsSRvITx8Ux7Rx6Px6Mx5Kx4Hx4FpCGhJHaRIUYJZ\ q1NdK9UfBTdCSbER`FQZHPXIOVJNTLMRMLPOKNPJLhHNZILQJJ\ 29RAEMHJHOOCTP4jfllbjm_inXhoUgpRfqOevEatIcrLdpOfnR\ gmUikXji_lgbmdjsegpfengblh`jiZhjcfkcdlcamc_ncYocWp\ cUqcSrmQpmOnmMmmKkmIimGhmEfmCzzAzz8zz6zz3zz5zz6zz8\ zz9zzBzzCzzEzzFzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 27-02-10 (Same Old Rectangle [?])
by JackOfTradeZ＠comcast.net 27 Feb '10

27 Feb '10

. That thing looks freaky! Like an evil doorway to the Nth dimension. What lies beyond ...? Dare you pass thru ... Loox like something in an old sci-fi "B" movie I remember - a time portal. People went in but couldn't get back out. Can't remember the name of it ... Do these rectangles only occur with Z^2.003 ?? .

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R: Re: AOTD 2-25-10
by jakovll＠libero.it 27 Feb '10

27 Feb '10

I loved it! personal opinion... Jacopo ----Messaggio originale---- Da: jackoftradez(a)comcast.net Data: 26/02/2010 14.51 A: "\"Fractint\""<fractint(a)mailman.xmission.com> Ogg: Re: [Fractint] AOTD 2-25-10 --> Well, I prefer honesty to false praise anytime, so thanx! Actually, I think the first part was lame, the 2nd half is cool cause loox like zooming in and out at same time. Each to their own ... On 2010-02-26 09:34, Maryetta Campbell wrote: > JackOfTradeZ@??? wrote: > > > > Animation of the recently described > > "pakman" fractal is posted > > http://www.fractal-animation.net/vid/tempest.zip > > > > Really liked the first 40 seconds. And a section near the middle was > the best part. Sorry, but the last portion seemed to be a bit of a > let down. > > >

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Re: [Fractint] tempest
by jimmckenzie＠earthlink.net 26 Feb '10

26 Feb '10

Lloyd, You have some competition. This thing was good. That was Santana's music right? -----Original Message----- >From: JackOfTradeZ(a)comcast.net >Sent: Feb 26, 2010 8:46 PM >To: fractint(a)mailman.xmission.com >Subject: Re: [Fractint] tempest > >. > > >someone on youtube just offered a "video response" to my posting of the tempest viddie. >it is one of the few I am going to "accept" >it is really good, and similar to tempest, same vertigo thing >check it out: > >http://www.youtube.com/watch?v=pWRv3WVQ4ak&feature=email > >. >

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FOTD 26-02-10 (The Sixteenth Inning [6])
by Jim Muth 26 Feb '10

26 Feb '10

FOTD -- February 26, 2010 (Rating 6) Fractal visionaries and enthusiasts: I see signs of fractal discontent brewing on the list. To set things straight, I saw no undue criticism in Paul's note, nor did I imply any criticism in my reply. If my writing sometimes gets a bit sharp, it is usually due to irritating events here at FC or to world events in general (politics). I am sure the same is true for Paul. Today's image is a harmless thing -- a scene in the parent fractal that comes into existence when equal parts of Z^3 and Z^5 are combined and straight C is added. This parent fractal consists of two large but rather squashed bays sitting one on top of the other. Today's scene is located in an arm inside a non-critical appearing bud on the western shore line of the northern bay. A good part of the image consists of 'inside' stuff made visible by the 'bof61' inside fill. The name "The Sixteenth Inning" is one of the least relevant of all time. The rating of a 6 is all I consider the image to be worth. The calculation time of just under 7 minutes is a ittle too much for an image that rates a six. The easiest way to see the image however is to traipse out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished product there. Light snow fell all day Thursday here at Fractal Central, but with the temperature just above freezing it melted as fast as it fell. The fractal cats paid more attention to the heat than the outside weather. The forecast is for a foot (30cm) or more of snow by this time tomorrow, but in my opinion, this is greatly exaggerated. The next FOTD is due in 24 hours. With any luck, it will be posted on time. Until then, take care, but do what you will. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheSixteenthInning { ; time=0:06:55.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.4553952536679694/+0.7983146768617765\ /8.667638e+011/1/-33.75/0 params=1/5/1/3/0/0/0/0 float=y maxiter=750 inside=bof61 periodicity=10 colors=000ccGacF_cEYcCVbBSaBP_DNYEKWFHVGETIBRJ8PK4\ NK6OL8OL9OLBOLCOLEOLFOLHPLIPLKPLLPLNPLOPLQPLSQLTQL\ VQLWQLYQLZQL`QLaRLcRLdRLfRMgRNiROkQPmOUlMZlKckIhkF\ mjAvhHtgOsfVqe_oe`pe`pe`pe`peaqeaqeaqeaqebrebrebre\ brecsecsecsecsedtedtedtedteeueeueeueeuefvefvefvefv\ egwegwegwfhxegwdfvdfuceubetbdsadr`cr`cq_bpZboZaoYa\ nX`mX`lW_lVZkVZjUYiTYiTXhSXgRWfRWfQVePVdPUcOUcNTbN\ TaMS`LR_MS`NTaNUbOVcPWcPWdQXeQYfRZgS_gS`hT`iUajUbk\ VckVdlWemXenXfoYgoZhpZiq_jrZjs_jr`hp`fm`dk`bh_`f_Z\ c_Xa_VZ`TXaRU`PS`NP`LN_JK_HI_FFZDDZBA_98`76ZA7ZC8Y\ F9YH9XJAXMBXOCURCTTDRVEOYFM_FKbGIdHAdDGfHLiLQjO`mS\ `nWgo`epZdlYclXbjWahV_fUZdTYbSX`RV_RWZQX`QX`QYaQYb\ QZcQZdQ_eQ`fQ`gQahQahQbiQbjQckQdlQdmQenQeoQfpQfqQg\ rQgrQhsRisRisSjsSktSktTltTmtTmuUnuUouUouVpvVpvVqvW\ rvWrwXswXtwXtwYuxYvxYvxZwxZxyZxy_yy_yy_wtYvpWulUtg\ SseQqcOocMmcLkcKicJgcIecH } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 27-02-10 (Same Old Rectangle [?])
by Jim Muth 26 Feb '10

26 Feb '10

FOTD -- February 27, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image is a different view of the same rectangle that exists in the Julia set of the point -1.7435 on the negative X-axis of the Z^(2.003)+C Mandeloid. The difference is that instead of viewing it in the Julia orientation, we see it today in the Oblate orientation, which is defined by the imag(C) and real(Z) axes of the Julibrot. Viewed in this new orientation, the pincushion distortion of the pure Julia rectangle has vanished, leaving a nearly perfect, though slightly more eccentric rectangle. The pattern around the rectangle has also changed. It now is symmetrical with respect to the origin. The name "Same Old Rectangle" is self-explanatory. The question mark for a rating means that I am posting the image with no rating. The calculation time of just under 3 minutes may be bypassed by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Light snow fell all night Thursday and all day Friday here at Fractal Central. At post time, 10:30pm Friday, it was still snowing lightly, but only 2 inches or 5cm of fresh snow had piled up. The fractal cats, who dislike snow and almost every- thing else connected with winter, showed their dissatisfaction by going into their sulk postures by the heat, where they were sure to not be overlooked. My day was occupied by sweeping away the snow and generally doing little else. The next FOTD will be posted in 24 hours. Only a not-totally-unexpected antiquing trip could prevent it. Until then, take care, and what do the big-time thinkers think about? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Same_Old_Rectangle { ; time=0:02:57.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/6494.7/0.0159/90/76.631 float=y params=0/90/0/90/-1.7435/0/0.00019/0.07388/2.003/0 maxiter=32767 inside=0 logmap=76 periodicity=6 colors=000CD6DE7DF8DG9DHADIBDJCEKDELEEMFENGEOHBPID\ QJERKFTNGWRIYVJ`ZKccLehNhmOkrPnvHpzMqzQqzUrzYrzasz\ mzzzzzetzarvYmrUjmRfhNbcJZZFVUBSP8PK9MF9KA9I8FG6KE\ 4PC3UF5ZI6cK8hN9mPBrSCvUEzXFzZGvZHrZImZJhZKcZKZZKU\ YLSXLTXLVWMXWMYVM_VMaUNbTNdTNfSOgSOiROmSGjROgQWdPc\ aOkRCwWIt_NrcSohYmlbjpghxnktlfqjanhYkfThdOtw0ecKRK\ bCEaC1uE6pGBkIGgKLbMQZOVUQ_QSdLUiHWnCZt2Ys8YrEYqKY\ pQYpVYo`YnfYmlcuuYmqSfmMZiGSeAKa4AX5DY5GZ5JZ5M_5P_\ 5S`5V`DZXLbUTfR`iNhmKpqHzzAxwCwtEvrGuoItlJsjLrgNqd\ PjwMmlOpbQsSRvITx8Ux7Rx6Px6Mx5Kx4Hx4FpCGhJHaRIUYJZ\ q1NdK9UfBTdCSbER`FQZHPXIOVJNTLMRMLPOKNPJLhHNZILQJJ\ 29RAEMHJHOOCTP4jfllbjm_inXhoUgpRfqOevEatIcrLdpOfnR\ gmUikXji_lgbmdjsegpfengblh`jiZhjcfkcdlcamc_ncYocWp\ cUqcSrmQpmOnmMmmKkmIimGhmEfmCzzAzz8zz6zz3zz5zz6zz8\ zz9zzBzzCzzEzzFzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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AOTD 2-25-10
by JackOfTradeZ＠comcast.net 26 Feb '10

26 Feb '10

. Animation of the recently described "pakman" fractal is posted I dunno, can't tell if it's comin' or goin' ! loox weird like you zooming in and out at the same time might leave you cross-eyed when it ends http://www.fractal-animation.net/vid/tempest.zip 20 MEG for 67 seconds you only see the pakman briefly at the exact center of the viddie, and it was made by varying the y-value inversion parameter from -1.296 -> -1.496 in steps 0.0001 enjoy .

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Re: [Fractint] tempest
by JackOfTradeZ＠comcast.net 26 Feb '10

26 Feb '10

. someone on youtube just offered a "video response" to my posting of the tempest viddie. it is one of the few I am going to "accept" it is really good, and similar to tempest, same vertigo thing check it out: http://www.youtube.com/watch?v=pWRv3WVQ4ak&feature=email .

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FW: AOTD 2-25-10 pakman video; effects; color map
by Hal Lane 26 Feb '10

26 Feb '10

JackOfTradeZ, Jay, fellow fractaleers, Contents: - Comments on the pakman video, - Visual effects caused by viewing the pakman video, and - Instructions for seeing & using the pakman fractal's color map for other fractals. - Viewing Color Maps in Raymond Filiatreault's FintMap app - Pakman Fractal Authorship - Pakman Fractal Parameter File - Pakman Color Map Listing - Please answer this question. Thanks! ----------------------------------------------------------------- > Animation of the recently described "pakman" fractal is posted I enjoyed your video a lot! Especially anticipating the "pakman's" appearance... There's also a *nifty visual effect* caused by the brain's visual system that appears after watching the video. (See below for more about this.) > ...can't tell if it's comin' or goin' ! > loox weird like you zooming in and out at the same time You're right -- the left side of the fractal is expanding (zooming in) and the right side is shrinking (zooming out) simultaneously. As you say, it can be a bit disorienting... Visual Effects Caused by Viewing the Pakman Video ------------------------------------------------- After sizing the video to full screen, the sequence starting after the pakman's appearance at 33 seconds in, fills the screen. Viewing the animation from this point through to the end, I can almost picture myself *sliding to the left* of the fractal hovering in space in front of me. My perceived 'motion' is caused by the left side of the video expanding in size -- with the right side simultaneously shrinking. It's a pretty strong vertigo-like effect for me. ["Vertigo" - Dizziness characterized by a sensation of whirling motion, either of oneself or of external objects. http://www.thefreedictionary.com/vertigo ] I've had videos where the point of view rapidly slides sideways make me feel this 'out of control' sliding, vertigo effect before. ----------------------------------------------------------- Does anyone else feel this 'out of control' vertigo effect? ----------------------------------------------------------- One other thing I noticed about viewing a video of a fractal that continuously shrinks or expands. After watching 'expanding' video for 30 seconds or more, apparently the brain's visual system starts to think that 'continuously expanding' is the way the world always is. Anyway, immediately after watching the expanding video, if you look at a *still frame* of the video carefully, you will see that your visual system continues to make the still image appear to change in size. The effect causes the still frame to expand on the right and shrink on the left. This effect fades for me after 10 or 15 seconds. The effect is strongest for me if I stare at the small white center area while watching the video and still frame. ----------------------------------------------------------- Does anyone else see the still frame of the fractal expand on the right and shrink on the left after viewing the last 1/2 of the video? ----------------------------------------------------------- JackOfTradeZ, I'm curious as to why you zipped your WMV video file. The video is 20.14 MB unzipped and 19.98 MB zipped. The WMV appears pretty well compressed by its codec already and doesn't get any appreciable size reduction from zipping... Pakman Fractal's Color Map -------------------------- The pakman's color map (DIAG.MAP) used in the fractal is quite nice. I've applied it to some of Jim Muth's Fractals of the Day that he said he didn't have time to work on the coloring of as much as he wanted and it's provided good coloring for me on some of these fractals. I put a screen capture of the DIAG.MAP onto my server of the color map in Fractint's "Palette Editor" color map viewer/editor popped up over the "pakman" fractal : http://www.emarketingiseasy.com/TESTS/Fractals/2010-02-26_Palette-Editor-ov… or: http://tinyurl.com/PaletteEditorOverPakman You can also see the pakman's color map (or any fractal's color map) in the "Palette Editor" color map viewer/editor in Fractint by saving the pakman fractal's .GIF using the link Jay gave: http://ecn.ab.ca/~brewhaha/img/PakMan.gif to your hard drive; (right click > Save Image/Picture As...) then: - Reloading the PakMan.GIF image into Fractint using the <r> key, - Hitting the Extended "Palette Editor" key: <e> - Hitting <Enter> to view the editor and the colors in the fractal's color map. - <esc> closes the "Palette Editor". The "pakman"s color map appears to be 8 sequences of 32 entry-long sections smoothly varying from black to white and back to black -- with each of the 32 sections going through a different section of colors of the rainbow. I pasted a copy of the DIAG.MAP below my signature in this email, so you can put it into a file and try applying it to fractals you have on your hard drive. If you look at the numbers in the columns of Red, Green and Blue values in the color map below you can see them varying the colors up and down in saturation and hue (intensity and color). To grab a copy of the map to apply to other fractals, just copy and paste the map's numbers (below) into any .TXT file and save it as: DIAG.MAP in Fractint's /maps/ directory. You can then try it's colors out on any fractal in Fractint by: - Viewing a fractal in FractInt that you want to try the DIAG.MAP out on. <r> reloads .GIF fractals that are on your hard drive. - Hit the Extended "Palette Editor" editor key: <e> - Hit <Enter> to view the editor and the colors in the fractal's color map. - Hit the <L>oad Color Map key and navigate to the folder/directory with the DIAG.MAP in it. - Hitting enter while ".." is highlighted moves you up a folder/directory; Hitting enter while a name of a directory is highlighted moves you "down" into the directory. - Names of directories end with a trailing "/". - Highlight "DIAG.MAP" and hit <Enter> to load this color map. - You see the new colors immediately applied to whatever fractal you are viewing. (If you're viewing the "pakman" fractal there will be no change -- it already has the DIAG.MAP color map in it.) - <.> and <,> rotate the values in the map and fractal. Watch the colors scroll in the "Palette Editor" as you do this. - You can <s>ave the newly colored fractal if you like it -- but first close the "Palette Editor" with <esc>. Viewing Color Maps in Raymond Filiatreault's FintMap App. --------------------------------------------------------- Raymond's program provides a wonderfully visual way of seeing and manipulating Fractint-format color maps. There are a color swatch of the complete color map, a 256 entry grid of 'paint chips' showing all the colors, as well as graphs of the red, green and blue values in the map. The built-in editor lets you 'draw' lines on the graph and create your own new color maps. And it's really great to be able to step through the color maps on your hard drive to see what they look like. A screen capture of the FintMap in action (with the pakman color map loaded) is here: http://www.emarketingiseasy.com/TESTS/Fractals/FintMap-viewing-pakman-color… or http://tinyurl.com/FintMapWpakmanColorMap Paul N. Lee mentions on www.fractalforums.com that Raymond has a recent update to his FintMap program: http://www.fractalforums.com/other-b130/fintmap-ver-1-40/new/ or http://tinyurl.com/PaulsPostReFintMap Raymond's description of the program and download links are here: http://www.nahee.com/Software/+FIntMap/ On his web page Raymond describes sometimes needing to get a copy of the older Windows Help File viewer, WinHlp32.exe from Microsoft's web site: http://www.microsoft.com/downloads/details.aspx?familyid=6EBCFAD9-D3F5-4365… or http://tinyurl.com/Get-WinHlp32-exe-From-MS I also saw some older posts on the MS TechNet Forum: http://social.technet.microsoft.com/forums/en-US/itprovistaapps/thread/3cf1… or http://tinyurl.com/ForumPostsReWinHlp32 telling how to obtain the program that allows viewing .HLP files in later Windows versions. Pakman Fractal Authorship ------------------------- Jay Litwyn [brewhaha(a)freenet.edmonton.ab.ca] did not specifically claim authorship of the pakman fractal in his 2/21/2010 posts to the [Fractint] list serve. Perhaps you can enlighten us on this point, Jay. Pakman Fractal Parameter File ----------------------------- In Jay's post with the pakman formula and parameter file in it, the parameter file shows: map=diag.map as the map used to color the pakman fractal. That's the name I recommend you save this color map with. In order to get Jay's parameter file to calculate the pakman fractal: - I capitalized the formulaname: Mandelbroh to match the name in the frm: formula file, and - Added: float=yes The parameter file calculates an 800 x 600 pixel pakman fractal in under 10 seconds on my not-all-that-recent computer. (I've been calculating fractals recently using Richard's unreleased Fractint for Windows ver 20.99.8. beta 5.) ===== Start of pakman parameter file w above 2 items in it: ========= Pakman { ; 56.19s/megapixel w 866MhzPIII/XP. 2:56.47s/MP ; w intejerz. ; map=diag.map Double precision floats ; auto-truncated. ; CC-BY-NC-ND IOW, all rights reserved; ; Copies on optical disk or paper must be gifts. ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=Mandelbroh function=ident/ident passes=t center-mag=-1.39576/0/1.388562/1.4324 params=2/4/3/0/0/0 maxiter=255 inside=0 invert=0.0016776448/-1.396/0 symmetry=xaxis periodicity=0 float=yes colors=000zzz<3>LzzBzz0zz<3>0__0TT0MM0FF088<3>0NZ0Re0Vl0Zs0bz<3>RlzYoz\ dqzktzrwz<3>SazLWzERz7Lz0Fy<3>09Z07T06M04F028<3>41Z51e61l71s80z<3>WRza\ Yzgdzmkzsrz<3>fSycLy`EyY7yU0x<3>H0ZE0SB0M80F408<3>S0YY0dc0ji0qp0x<3>tR\ xuYxvdxwkxxry<3>xSqxLoxEmx7kw0h<3>U0NN0HF0C806806<3>Y0Ec0Gj0Ip0Kw0M<3>\ xVexbjyjoyrtyrt<3>xSTxLMwEFw78v00<3>U00N00F00800800<3>XA0bC0iF0oH0vK0<\ 3>xdVxibyojytrytr<3>wmSwkLviEvg7ue0<3>TL0MG0FB0860860<3>UW0Za0dh0in0ou\ 0<3>twVuxbwxjxyrxyr<3>iwSevLavEYu7Ut0<3>FT0CM08F0480480<3>6W06a07g07m0\ 8s0<3>ZvVewblxjsyrsyr<3>SvYLvTEuN7tI0sC<3>0S60L50E3072072<3>0VH0`L0fP0\ lT0rX<6>ryvryv } frm:MandelBroh { ; Anglicized spelling. Recommends sticky functions. z=fn1(pixel) +P2, c=fn2(pixel) +P3: z=z^real(P1) +c |z| <= imag(P1) } ===== End of parameter file ============= -------------------------------------------------------------------- Anyone know what: "CC-BY-NC-ND IOW" (in the parameter file) means? -------------------------------------------------------------------- -------------------------------------------------- Are the sequences of Fractint keystrokes I include in some of my posts ever of any use to anyone? -------------------------------------------------- Email me or the [Fractint] list about Fractint keystrokes, please. If no one replies, I won't take the time to include them in the future. - Hal Lane ################################ # mailto:hallane@earthlink.net # ################################ ============================================================ ################### # DIAG.MAP # R G B ################### 0 0 0 252 252 252 212 252 252 168 252 252 128 252 252 84 252 252 44 252 252 0 252 252 0 228 228 0 200 200 0 172 172 0 144 144 0 116 116 0 88 88 0 60 60 0 32 32 0 44 56 0 60 84 0 76 112 0 92 140 0 108 168 0 124 196 0 140 224 0 156 252 24 164 252 52 176 252 80 184 252 108 196 252 136 208 252 164 216 252 192 228 252 220 240 252 196 220 252 168 196 252 140 176 252 112 152 252 84 128 252 56 108 252 28 84 252 0 60 248 0 56 224 0 48 196 0 44 168 0 36 140 0 28 116 0 24 88 0 16 60 0 8 32 4 8 56 8 8 84 12 8 112 16 4 140 20 4 168 24 4 196 28 4 224 32 0 252 56 24 252 80 52 252 104 80 252 128 108 252 152 136 252 176 164 252 200 192 252 224 220 252 212 196 252 200 168 252 188 140 252 172 112 248 160 84 248 148 56 248 136 28 248 120 0 244 108 0 220 96 0 192 84 0 168 68 0 140 56 0 112 44 0 88 32 0 60 16 0 32 40 0 56 64 0 84 88 0 108 112 0 136 136 0 164 160 0 188 184 0 216 212 0 244 216 24 244 220 52 244 224 80 244 228 108 244 232 136 244 236 164 244 240 192 244 244 220 248 244 196 240 244 168 232 244 140 224 244 112 216 244 84 208 244 56 200 244 28 192 240 0 180 212 0 160 180 0 136 152 0 116 120 0 92 92 0 68 60 0 48 32 0 24 32 0 24 56 0 32 84 0 40 108 0 48 136 0 56 160 0 64 188 0 72 212 0 80 240 0 88 240 28 108 240 60 128 244 92 148 244 124 168 244 156 188 248 188 208 248 220 228 248 220 228 248 196 200 248 168 172 244 140 144 244 112 116 244 84 88 240 56 60 240 28 32 236 0 0 208 0 0 180 0 0 148 0 0 120 0 0 92 0 0 60 0 0 32 0 0 32 0 0 56 8 0 80 20 0 108 28 0 132 40 0 156 48 0 184 60 0 208 68 0 236 80 0 236 100 28 240 120 60 240 144 92 244 164 124 244 184 156 248 208 188 248 228 220 248 228 220 248 224 196 244 216 168 244 208 140 240 200 112 240 192 84 236 184 56 236 176 28 232 168 0 204 148 0 176 128 0 148 108 0 116 84 0 88 64 0 60 44 0 32 24 0 32 24 0 52 48 0 76 76 0 96 100 0 120 128 0 140 152 0 164 180 0 184 204 0 208 232 0 212 232 28 216 236 60 224 236 92 228 240 124 232 244 156 240 244 188 244 248 220 244 248 220 232 248 196 216 244 168 200 244 140 184 240 112 168 236 84 152 236 56 136 232 28 120 228 0 108 200 0 92 172 0 76 144 0 60 116 0 48 88 0 32 60 0 16 32 0 16 32 0 16 56 0 20 80 0 20 104 0 24 128 0 24 152 0 28 176 0 28 200 0 32 224 0 56 224 28 84 228 60 112 232 92 140 236 124 168 240 156 196 244 188 224 248 220 224 248 220 196 248 200 168 244 180 140 240 156 112 236 136 84 236 116 56 232 92 28 228 72 0 224 48 0 196 44 0 168 36 0 140 32 0 112 24 0 84 20 0 56 12 0 28 8 0 28 8 0 52 20 0 76 36 0 100 52 0 124 68 0 148 84 0 172 100 0 196 116 0 220 132 28 224 144 60 228 160 92 232 176 124 236 192 156 240 204 188 244 220 0 0 0 192 192 192 ################### # end of DIAG.MAP ################### -----Original Message---------------------------------- From: fractint-bounces(a)mailman.xmission.com [mailto:fractint-bounces@mailman.xmission.com]On Behalf Of JackOfTradeZ(a)comcast.net Sent: Thursday, February 25, 2010 10:07 PM To: fractint(a)mailman.xmission.com Subject: [Fractint] AOTD 2-25-10 Animation of the recently described "pakman" fractal is posted I dunno, can't tell if it's comin' or goin' ! loox weird like you zooming in and out at the same time might leave you cross-eyed when it ends http://www.fractal-animation.net/vid/tempest.zip 20 MEG for 67 seconds you only see the pakman briefly at the exact center of the viddie, and it was made by varying the y-value inversion parameter from -1.296 -> -1.496 in steps 0.0001 enjoy . -----End of Original Message--------------------------- --------- End of Email --------------------------------

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Re: [Fractint] FOTD 20-02-##
by Brian Prentice 25 Feb '10

25 Feb '10

Paul, The trivial errors that you reveal don't in any way reduce the fascination and enjoyment that Jim's readers get from his daily posting. Rather than engage in such criticism, your time might be better spent in correcting the known errors in your Fractal Census here: http://www.nahee.com/Census/Census_B.html Brian Prentice

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Re: [Fractint] FOTD 20-02-##
by Jim Muth 25 Feb '10

25 Feb '10

At 07:12 AM 2/25/10 -0600, you wrote: >Jim Muth wrote: >> >> FOTD -- February 20, 2010 >> NEW FORMULA ALERT! Today's formula is new. >> > >Jim Muth wrote: >> >> FOTD -- February 24, 2010 >> The minimal calculation time of XXXXXX minutes... >> > >Usually it is fairly easy to play "editor" and correct the slight >mistakes in the FOTD postings, but not sure about the above two. > >The first one says it is a new formula, but it has been used before in >the past. > >And the second on has "XXXXXX minutes", but it actually renders in a few >seconds. > > >Sincerely, >P.N.L. This kind of stuff happens because of a lack of time to get things right. I knew I had a formula somewhere that calculated (-Z)^n+C, but had no time to find it. To save time, I made a slight adjustment to the earlier formula and named it number 5. There might have already been a formula with the same name. The wrong time is a simple mistake. When I get rich from doing fractals and can retire from other money-making pursuits, (if ever), I'll have full time to devote to the FOTD, which will then reach its full potential. Jim M.

1 0

FOTD 25-02-10 (The Fat Man Dances [?])
by Jim Muth 25 Feb '10

25 Feb '10

FOTD -- February 25, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image was again produced by a hard-coded formula, which shows that it is possible to produce interesting images with the good old 'warhorse' formulas. There is a strange rectangle in many of the Julia sets of the East Valley area of the large minibrot on the main stem of the Z^(2.003)+C Mandeloid, which is in the process of splitting into two separate minibrots. I have shown this rectangle many times over the FOTD years, but rarely have I distorted it and tracked it to its dissolution. In today's image I dissolved the rectangle by raising the exponent of Z ever so slightly to see what effect the change would have on the rectangle. The effect was dramatic. The rectangle began to break up and soon totally disappeared. But it left its ghost behind, and this ghost was made visible by rendering the scene with the inside set to 'bof61'. The rectalngle's ghost appears as the 4-sided area of chaos in the throat area of the 'fat man', which inspired the name "The Fat Man Dances". The fat man figure is actually the 'inside' part of the fractal. I could give no rating to an image that is 90-percent mathemati- cal interest and only 10-percent artistic, so I let it go with a rating of a question mark. But it's still a rather interesting image that calculates in a measly 43 seconds, at least on my machine. To make things even simpler, the pre-calculated image is or soon will be posted for instant gratification on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy day with a temperature of 39F +4C here at Fractal Central on Wednesday kept the fractal cats near the heat. My day was close to average. The next FOTD will be posted in around 12 hours. Until then, take care, and fractals defy Occam's razor. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Fat_Man_Dances { ; time=0:00:43.26-SF5 on P4-2000 reset=2004 type=julzpower passes=1 center-mag=0.00019/0.0602946/10.81732 params=-1.7435/0/2.00312/0 float=y maxiter=750 bailout=9 inside=fmod periodicity=6 colors=000AMQAojAjgA5iA5fA6cA6`A7YA7WA8UA8SAAFA9QA\ APAAOAAMABQABUCCYECaFCeKGaOKZSOVWSS_WOc_L`bKYdJVfJ\ ThIQjHNlHLnGIpGFrFDtEAvE7xD9zDBxLHvSNt_TrfZpm`lpbi\ rcftecvg`xhYze_ucapack_efYgaWiYUkTSmOQoJUqEZsActBh\ tCmuDruEvuFzvzzvzzwzzwzzwzzxzzxzzyzzzzzz`zzazzb9_c\ 8`d7be7cf6eg5fh4hi3ij3jkFaPQT2RW8RZDSaJSdOSgUTjZTm\ dTpiUsoUvtUyyTtuTpqSlmSgjRcfR_bQV_QRWPNSPIPOELOAHO\ 6ERBHUGJXLM_QObVQe_ThdVkiYnn_pranpbmoblnbjmcilchkc\ gjchb_iVXjNTt8tQ7PT9QWAQZBQ`CQcDQfEQiFQD2EI4GM6HR8\ JV9KZBMcDNgFPhk6icBjWGkOLoQgmLZCPy05eG9_WDVqy7oiEm\ VK1d`9_ZHWXPSVXOTdKRtXbrT_pQXnMVlJSf_AgWEhSHiOKjKN\ 8tAGkEOcHWWKcON`bQxiHK4_P6YT8XYAVbCTlKPgER_XeaUbcS\ `ePZfNWhKUjIS9DuFEpLEkQFgWFb`GZfGUPFBXGGdGLKG40__8\ WYGTWOQVWMTcJRr9WkPTTCDXDG_EIbEKeFMhGOw`_uYYsVXqSV\ pPUnMSlJRw4k8agGXcOT_WOXcKT1_f7XcDVaJS_PQYVNW`LUfI\ SYKCbIHgHM`pLbiMdcNfYOhSP } END PARAMETER FILE=========================================

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FOTD 20-02-10 (Sesquioxidizing [4])
by Jim Muth 25 Feb '10

25 Feb '10

FOTD -- February 20, 2010 (4) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's formula is new. Actually, this new 'SliceJulibrot5' formula is almost exactly the same as the old "SliceJulibrot4' formula. Only the sign of iter- ated 'Z' is changed. The new formula has potential, but due to lack of time, I was unable to do much experimenting with it. I did find a minor scene in a near-Julia-set of the East Valley area of a minibrot on one of the main stems of the (-Z)^(2.5)+C Mandeloid. Unfortunately, I had no time to do much with the image, which I post here for some mild interest and amusement. Searching the image, I could find nothing in it worth more than a rating of a miserable 4. To add to the insult, the calcula- tion time of over 8 minutes is more than the image is worth. The name "Sesquioxidizing" has something to do with chemistry and little to do with today's image. I chose it because it is the word that scored the most points in Scrabble history for a single word -- around 1050 points. Those who enjoy less-than-mediocre fractals may view today's failure by running the included parameter file or by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A few clouds Friday morning here at Fractal Central cleared out by noon, leading to a pleasant afternoon with lots of sun and a temperature of 43F 6C. The fractal cats thoroughly enjoyed the afternoon sun on their shelf in the southwest window. As stated above, my day was rather hectic. The next FOTD will be posted in all of 24 hours, that is unless FL gets the urge to visit and explore a local flea market or antique emporium or something. Until whenever, take care, and why do women who claim to dislike all the violence in the world, read so many murder mysteries? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sesquioxidizing { ; time=0:08:08.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=+0.080821215\ /-0.146371482/13884/1/-76/0 params=89.97/0/89.97/0\ /-1.42086/-0.22447/0/0/2.5/0 float=y maxiter=32767 inside=255 logmap=32 periodicity=6 colors=000MKcOKcQKcSMcUPcWScYVc_Yca`cccaef_gfZigYh\ hYgiYejYckYbkY`lXZmXYnXWoXUpXWnZXmaTpXQsTNvOPxKWzL\ ezMjzMqzNwvNmrOcmOUkPKiPKgQKbQK`RJeTKbSK_RLXRLUQLR\ PMOPMLONIONFNNCMO9MO6LN2KO4LO6MP8NPAOPBOQDPQFQRHRR\ IRRKSSMTSOUSPUROQRNMQMIQLEPKAPJ6LE0NH2PJ3QL4SN5UQ7\ VS8XU9ZWA4MRKSJ_YB`XC`XD`XDaXEaXEaWFbWGbWGbWHeVEcW\ GbWHaWI`WJ_WKZXMYXNXXOWXPVXQUYSTYTSYURYVWN_TTYQYWN\ cVLhTInSFsQAzODxPFvQHuQKsRMqROpSRnTTlTVkUYiU_gV`eT\ afVbgXbhZci_djadkcelefmffnhgojhpljuqhpmfliehecdaa`\ Y`XUZTQu52iFCYPMGwnJjdMZVQPHPOJPNLPNNOMPOMROLTOLVN\ KXNKZNJ`NJbMIdMIfMHhFNmJKkE_gC_iB`k9am8bo0ix7bqEXk\ KReRLZYFTf5Lc9N`COYGPVJQSMSPQTNTUKXVH_XEbYBfZ8i_6l\ `AjbDicGhdJgfMfgQehTdjWckZblaane`oh_pkZrnYsqXtNFuV\ IvaLvhNvoQvvSvnUngWf`YZU_RKcDN`KPYRRVYTTcVQjXNqZLw\ UQrQVmL_hJYcIacHdcHhcGkcGocFrc8yXFzcLzjRzqzzxzzdzz\ IzzMzzQzzUzzYzzazzezzizzm } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Re: [Fractint] antiquing expedition
by JackOfTradeZ＠comcast.net 23 Feb '10

23 Feb '10

. I have always wondered if there could be a fractal program to convert sound fed into it into a visual fractal, either a still or an animation. Seems it should be possible; the sound data could "seed" the equation(s) in the fractal generator. I would like to compare what we get with classic Beatles and Doors compared with todays garbage rock. Classics and Jazz would be interesting also. Just musing .... Still trying to animate the PakMan .... not much luck yet .... Stay cool. .

3 2

FOTD 24-02-10 (Strawberry Orchard [7.5])
by Jim Muth 23 Feb '10

23 Feb '10

FOTD -- Feb 24, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: To show that there is nothing lacking with hard-coded formulas, I will spend a while with them. And who knows! I might even produce some pretty good images. Today's image is one of the first I found when Fractint gained the ability to calculate fractional powers of Z. It is the Julia set of the western edge of the main bay of the parent fractal -- the Mandeloid that results when the formula Z^(1.5)+C is iterated. I use the term 'main bay' with reservations. The size of the bay hardly justifies the use of the word 'main'. I named the image "Strawberry Orchard". There must have been some reason I did, but if so, I have totally forgotten it. Maybe it's the strawberry coloring of the fractal trees around the edges of the certral feature. These tree-like features are quite fascinating. With a little work, they can be made to closely resemble real trees, and the result can be quite artistic. I might have a go at creating a fractal forest for tomorrow's FOTD. Today's image rates a 7-1/2, one-half of which is due to the coloring, which was half luck and half work. The minimal calculation time of XXXXXX minutes may be waived by surfing to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Heavy clouds hung tough here at Fractal Central on Tuesday, while a continuing mist kept things unpleasantly damp. The fractal cats' spirits must have been suppressed by the lack of sun. They kept to themselves most of the day. My day was busy but uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and watch for those alien space craft. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Strawberry_Orchard { ; time=0:00:29.85-SF5 on P4-2000 reset=2004 type=julzpower center-mag=0.27543/0/1.25 params=-0.186/0/1.5/0 float=y symmetry=xaxis periodicity=0 maxiter=1500 inside=0 colors=000ISPHRPHQPGPPGOPFNPFMPELPEKPDJPDIPCHPCGPB\ FPBEPADPACP9BP9AP8AP8AQ7AR7AS6AT6AUIAVGAWAAWAAYAAZ\ AA`ALaAJcAGdAEfACgA9iA7jA5kA4jA4iA4hA4gA0gA4fA4eA4\ dS4cS4cR4bR3aQ3`P3_P3ZO3YN3XN3WM3WM3VL3UK3TK2SJ2RI\ 2QI2PH2OH2OG2NF2MF2LE2KD2JD1IC1HB1GB1GA1FA1E91D81C\ 81B71A619608508A07F06K05P04U03Z02c01h00l28j17h17f1\ 7d16b16a16_15Y15W15U15T14R14P14N03L03J03I02G02E02C\ 02A01901701500300100L6WH5QE4LA3G72A315zzWzzVzzUzzT\ zvSzrRzmQvhPrfOmdNhbMcaL__KZYJXWIVVHTTGSRFQPEOODMM\ CLKBJJAHH9w_ztYzrWzpUznSvlRtjQrhPpfOndNlbMj`Lh_KfY\ JdXIbVH`TGZSFXQFWPEUNDSMCQKBOIAMH9KF8IE7GC7FB6D95B\ 74963K42U31ce0nf9si8rl8qo8pr8ou8nw8mz7lz7kz7jz7iz7\ hz7gz6fz6ez6dz6cz6bw6au6`q5_m5ZR_OS`NTaLVaKWbIXbGY\ cFZdD_dC`eAae9`dA_dA_cBZcBZbBYbCYaCXaCX`DW`DW`DV_E\ V_EUZEUZFTYFTYFSXGSXGRWGRWHQWHQVHPVIPUIOUIOTJNTJNS\ JMSKMSKLRKKRLKQLJQLJPMIPM } END PARAMETER FILE=========================================

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FOTD 23-02-10 (Dissolution [6])
by Jim Muth 22 Feb '10

22 Feb '10

FOTD -- February 23, 2010 (Rating 6) Fractal visionaries and enthusiasts: With today's image we return to the MandAutoCritInZ formula, a formula that often but not always initializes 'Z' to a critical value, and is without doubt the most productive formula in FOTD history. Today's iterated expression is (Z^2)+2(Z^0.9)+C, which produces a fractal that resembles nothing as much as a half-dissolved Mandelbrot set. The name "Dissolution" refers back to this unseen parent fractal. Today's scene is located on the shattered remnants of the once- mighty negative stem, not too far east of the once-prominent large minibrot, but far enough that most of the typical East Valley stuff has disappeared. The few remnants that do remain add a modicum of interest to the central minibrot. The rating of a 6 is what I think the image is worth. The rating is held down by the coloring, which could use a bit more work. As it is, I had too little time to devote to bringing out the scene's full potential. The calculation time of just under 3 minutes will pass in a slow flash for those running the included parameter file. The trip to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will pass in a fast flash. Clouds moved in overnight Sunday here at Fractal Central, lead- ing to a cloudy day Monday with a temperature of 41F +5C and a few spurts of tapioca snow (graupel). The fractal cats took the whole thing in stride, dividing their time between the heat and their window shelf. My day was boringly busy. It was reported on the list that the FOTD images were quite suc- cessful when I created them with the formulas hard coded in the Fractint program. I'm not sure I totally agree, but who knows -- maybe I'll have another go at those surprisingly simple yet productive formulas. The next FOTD will be posted in 24 hours. Until then, take care, and listen close to today's music if you want to know what's wrong with the world. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Dissolution { ; time=0:02:58.23-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.616933041801702/-0.2780341565794527/\ 1.3e+010/1/22.5/0 params=1/2/2/0.9/0/0/0/0 float=y maxiter=1500 inside=0 logmap=176 periodicity=6 colors=000KEKLFKMGKNHKOIKPJKQKKRLIXMGbNEhOBmP8rVKv\ _UzdczjmzorztvzzzkxzcwzWvzOuzHuzKswMqrPpmRnhUgcWaZ\ ZVU`P6XRKUTYRZjw0EqDJkSNebS`lWKsQ4zK8wRBtXFrbIohMm\ nPjtShzsFctFdtFeuFeuFfvFgvFgwIawLWwNQwQLwSFwV9wX4z\ mDzrMzmQzRUzKYlE`eJX_OTTSPNXLG`HAeD4i9Fe8Pb7__6iX5\ sU4fzQbsU_lYXeaUZeRThK`bChX5pS4qX4r`3rd3si2tm2tq6r\ p9ppCnpFlpIjoMhoPfoSeoVcnYana_ndYngWmjUmmSmpRmoSnn\ TonTpmUqmVrlVslWtkXujXvjYwiZxiZyh_zh_zjbrkdkmfcniX\ pkPqmImjKjgLfdMcaN_ZPXWQTURQRSMOUJLVFIWCFX9DYYUkvi\ yrgtnfojdkgcfcab_`YX_UUYWSWXQUYOT_MR`JPaHNbFMdDKeB\ If9HgCGhFGiHGjKGkMGlPGmSGnUFoXFpZFqaFrdFsfFtiFukFv\ OKVWPVbUVdXZfZbh`fjbildmnfqphuqjxpkwYVGXVMWVSWVYaW\ ZgX_mX_sY`xY`u`_scZpeZnhYljYYNIK02mb7kb6ib5gb4ee4c\ h3ak2_n1Yq1btCgwNlzXizYgzZdz_bz_czYczWczUczSczQfzR\ hzSjzSlzTnzTpzUrzUfzTVzdKzo9zzLzWWz2TzCQzMNzWLzdTz\ X`zQhzIpzBxz4jzJKz9JjBIzC } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Bug Report: Lost Parameters in 2004/patch 4.
by Jay Litwyn 22 Feb '10

22 Feb '10

http://ecn.ab.ca/~brewhaha/img/BreastPlate.gif Retrieve that image. Save the parameters. Change something to re-jenerate the image. I did not get the same image, and P2 and P3 were zero, which is wrong. You will need this formula in fractint.frm: MandelBroh { ; Anglicized spelling. Recommends sticky functions. z=fn1(pixel) +P2, c=fn2(pixel) +P3: z=z^real(P1) +c |z| <= imag(P1) } It is not losing P1. It is losing the remaining numbers. I do not know whether they are in gif comments and not being read or not being written in the first place. It has been awhile since I used this feature. I *was* in the habit of saving two parameter files before I saved gifs. Maybe I will remember what I did.

2 2

FOTD 22-02-10 (The Clutching Claw [5])
by Jim Muth 22 Feb '10

22 Feb '10

FOTD -- February 22, 2010 (Rating 5) Fractal visionaries and enthusiasts: The FOTD for Feb. 21 is missing because an antiquing expedition arose on Saturday. The FOTD was a loss, but it was made up for when we found a stack of CD recordings of golden oldies from the 1950's and 60's. We picked up over 250 songs for $20, and that is a deal that can hardly be bettered. Included were many of FL's easy-to-find favorites such as 'Duke of Earl' and 'Little Darling' etc. On one of the disks I even found one of my not-so- easy-to-find favorites -- 'Love You So'. Yes, I know I'm show- ing my age, but back then we had something other than 'today's' stuff to listen to. Today's fractal is not much -- We spent most of Sunday listening to some of the CD's we found Saturday. But at least I cranked out a kind of image. The image shows a much-enlarged part of the Seahorse Valley of the (-Z)^1.5+C Mandeloid peeking through the Julia set of the same area. I named the image "The Clutching Claw". I must have been think- ing of a junky horror movie when I came up with the name. There is a kind of claw-like effect in the image to justify the name however. The image promises little and delivers little, but at least it makes the delivery in a very fast 1-1/4 minutes. The rating of a 5 was pretty much a guess. I'm sure I could have done better, but then I might have done worse also. The image is worth at least a quick glance, so why not forget running the parameter file and surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to 'enjoy' the finished image there. Total sunshine and a temperature of 48F 9C made Sunday the best day so far this year here at Fractal Central. The fractal cats made the most of things, spending several hours stretched in the sun coming in the southwest window. My day was pleasant enough, especially when I saw the grass starting to reappear beneath the snow in the yard. If all goes well, and even if things don't go quite so well, the next FOTD will be posted in 24 hours. Until then, take care, and if someone were to ask me what is wrong with today's 'music', the danger is that I might spend the next week telling them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Clutching_Claw { ; time=0:01:15.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=-0.288401/0/\ 1.25 params=89.99/0/89.99/75/-0.740752/0.004/0/0/\ 1.5/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000WanRXmMSmHNlCIl7Dk28k5Fl8LmBRnDYoGcpJiqL\ orNooPolRojTogVodXobZo_`oXboVdoSfoPhoNjoKloIjjHifG\ hbFgZEfVDeRCcNBbJAaF9`B8_77Z37TC8NK8HS9C_9GXDKVGOT\ JSRNWPQ_NTcLWaNV_PVYRUWTUUVTSXTQZTO`SMbSKdRIfRGhQE\ jQCwJDqNDkQEfTE`WFWZFQaRHeNJdJKdFLdCMc8Nc4Oc1Pcf06\ a9AXHDSPGIVDKWFMWHOXJPXLRYNTYOVZQWZSYZU__Wa_Xb`Zd`\ `fabhadQq`yqfqieiaecP_bRabTcbVeaXgaZiZaia`jc_jeZjg\ YjiXjkWjmVjoUjqTjsSjuRjwQjyQjvPktPkrPkoPkmPkkPkiPk\ fPldPlbPl_PlYPlWPlOXmRTlUPlXLk_HkdBkaEkZHkWKkTNkQP\ kNSkKVkHYkE_kBbk8ek5hkhE4gC3fA1f90cB2`C4ZE6WF8TH9R\ IBOKDMLFJNGGOIEQKBRM9SNEULJVKNWJSXIXZH`_Ge`FiaEkbH\ mbKnbNpcQqcTscWtcYpdWmeVjfUggSchR`iQYiPVjNSkMOlLLm\ JInIFoHCoGHnJMnMRnPWnS`nVenYjn`onctnfyniwidud_t_Wr\ VRqQNoLInGElB9k65gCCcIJ_OQWUWS_bOeiKkpHqvNhqT_lZRg\ cJc_GdWDeSAfP8fL5gH2hE0hJ3eN5bS7_W9X_CUdERhGOlIMjL\ QiOThRWgU_eWbdZecaibdlafo } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

2 1

Splotch.jpg
by Jay Litwyn 21 Feb '10

21 Feb '10

http://ecn.ab.ca/~brewhaha/img/Splotch.jpg I used an outside=atan rendering together with a two-colour outside/inside mask, plus an off-center PaintShopPro gradient for that. I had a gallery owner tell me that my work was "so...symmetrical". She was probably holding back loud, which is why I offer monochromes, plus monochromes work well as backgrounds. http://ecn.ab.ca/~brewhaha/Fractal_Gallery.htm Splotch { ; If you save an image with gray.map, then it will contain ; sixty-four unique colours. If you use altern.map, then ; you will get 256. Conclusion: fractint is still rounding ; colours off to a multiple of four. ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=fractint.frm formulaname=MandelBroh function=sqr/conj passes=t center-mag=-0.250612/-0.257234/1.02894/1.7614 params=2/8/0/-0.75/0/0.75 float=y maxiter=1024 inside=0 outside=atan invert=0.0471796195166667/-0.11771965045/0.0255761745 periodicity=0 colors=(a)altern.map } MandelBroh { ; Anglicized spelling. I recommend sticky functions. z=fn1(pixel) +P2, c=fn2(pixel) +P3: z=z^real(P1) +c |z| <= imag(P1) }

1 0

FOTD 19-02-10 (A Slipped Disk [7.5])
by Jim Muth 18 Feb '10

18 Feb '10

FOTD -- February 19, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is named "A Slipped Disk". This does not refer to a medical condition; it refers to the Siegel disks in the fractal, which have suffered some kind of slippage. Actually, there are no Siegel disks at all in the image. Siegel disks are purely Julia objects, while today's image, which is rotated 0.02,0.02 degrees from the Julia orientation, comes close but wins no cigar. In this case, the tiny rotation makes a world of difference. Actually, I have never had a clear idea of exactly what makes a Siegel disk. I know the disks appear in the Julia sets of points on the edge of the Mandelbrot set, but just what parts of these Julia sets are called Siegel disks? Well, I guess it really doesn't matter. As today's image shows, not-quite-Siegel disks can make interesting images, especially when they are rendered with the inside set to 'bof61'. The rating of 7.5 includes a small bonus for the coloring. The calculation time of 30 seconds will pass in a flash, as fast in fact as the trip to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday featured partly cloudy skies and a temperature of 39F +4C here at Fractal Central. The fractal cats, who dislike partly cloudy weather with its on-and-off sunshine, spent only a few minutes on their sun-shelf before seeking the artificial heat of the large radiator in the hallway. My day was close to normal; tomorrow should be the same. The next FOTD will be posted in 24 hours. Until then, take care, and speak with some wisdom. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Slipped_Disk { ; time=0:00:29.86-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/0.94 params=89.98/0/89.98/0/-0.390541/-0.586788/0/0/2/0 float=y maxiter=500 inside=bof61 logmap=yes symmetry=none periodicity=6 colors=000hkNjlRlmUmnYoo`qpcrqgtrjvsmwtqyutzvwzzzw\ wwuuuyrhyodylayhYydUy`RyXNyRJyPGsTHnXIh_JccKYfLTjM\ OmMGfK8_I0UG6SMCQRHOXNMaTKgYIlcGrhEweCrbAn`8jaAgbC\ dbEacFZcHWdJUdLReMOfOLfQIgSGgTDhVAhX7iZ4i_2gb8edDc\ gIaiN_lSZnYXqbVsgTvlRxqQzvMowIdxEUyAKzDLsFMmHNgJOa\ aazbZxbWwbTvbQubNtbLsbIqbFpbCob9nb6mb4l`5k_6kZ7kY7\ kX8kW9kV9kUAjTBjSCjRCjQDjPEjOEjSHiVKiYNiaQidShgVhk\ Yhn`hqbhq`fqZeqXdqVcqUaqS`qQ_qOZqNYmO_jO`gOacOc`Pd\ YPeUPgRPhOQiKQkHQlEQmLcXSqGUkMVeRW`WYVaZPf_KkVIiRG\ hNEfJDeFBcB9b78a9UlBnvEnsHnqJnoMnmOnkRniTngWneZnc`\ nacn_enYhnWjnUmnSonQppSpqTprUqsVqtXquYrvZrw_rx`mwY\ ivWeuTatRYsOUsMQrKMqHIpFEoCAnA6n87oD8pI8qN9rS9rWKh\ TV_QeQNoHKkNNhTQdZTadWYjZVo`RpZNpYJqXFqWBqU7rT3rS0\ rR7kSEdTKYURRVYKWcDXj6Yp0Zq6_qC_rH_rN`rS`sY`sb`sha\ tmatsatxaikZZ_WONTEBQA8N75L42J10z8hzF`cGVzHPcIJzJD\ cK7zK2cfezTMbF2z2vzKmzV0m } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 18-02-10 (In on Something Big [No Rating])
by Jim Muth 18 Feb '10

18 Feb '10

FOTD -- February 18, 2010 (No Rating) Fractal visionaries and enthusiasts: As the FOTD nears its 13th anniversary, the fractals are showing no signs of running out. Actually, when I posted the first FOTD image, I expected to continue posting fractals for a week or two. I guess I under-estimated my interest in fractals. Today's image shows a grossly bloated part of East Valley of the large minibrot on the main stem of the Z^2.000001+C Mandeloid. The valley has broadened into a wedge, the bloated edge of which is visible in the interior of the outer near-Julia set. Some fractalists may wonder if I have discovered a way to get more magnification out of the standard math routine. Don't get your hopes up. These magnified images do little more than shift the decimal point and lose resolution at a much lesser magnitude. There is little or no art in the image, so I gave it no rating. Actually, I am currently more interested in finding unusual math- ematical fractal things than creating wannabe works of art and saying, 'Look Ma, I'm an artist'. The name "In on Something Big" could refer to the greatly enlarged wedge, only a tiny part of which is visible inside the Julia shape. The calculation time of 5-3/4 minutes is slow enough to make the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> worth the effort. Cloudy skies interspersed with snow flurries and a temperature of freezing made Wednesday less than ideal here at Fractal Central. The fractal cats must not have liked it any more than the humans. They were quite testy most all day. My day was rather busy but still under control. FL did get a bit annoyed at lunch when I told her I was not the slightest bit disappointed with Super-prez. I expected him to do nothing and he has done nothing. The next FOTD will be posted in 24 hours. Until then, take care, and if you expect nothing from your frac- tals, you might actually get *something* and be surprised. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_on_SomethingBig { ; time=0:05:46.45-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t inside=0 center-mag=0/0/8.8/1/90/0 params=89.99996/0/\ 89.99996/0/-1.74999826/4.55e-006/0/0/2.000001/0 float=y maxiter=4200 outside=tdis periodicity=0 colors=000PbnMbnIcnFdnBen8fn5fnBhmGjlLklQmkVnk_pjd\ riisinuhsvhtwdtwauwYuwVuwSvwOvwLwwHwwEwwBxvDxuExtG\ xsHysJyrKyqLypNyoOzoQznRzmTzlUzlVwiTufSsdRqaQo_PlX\ OjVNhSMfQLdNKeKLbLJ`LHZMGXMEVMCTNBRN9G83PN8Vb9XaCZ\ `E`_Gb_IcZLeYNgYPiXRjWUlWWnVYpU_qUas_etdhQXYuikrgh\ offlecjcagbZdaXb_U_ZSXYPVWNSVKPUINSFKRDHQAFP8HRCJT\ FLVINXLPZPQ`SSbVUdYWfaYhd_jg`ljdh`heSlaIpZ9m_Cj`Fg\ aIdbLacOZcRWdUTeXQf_NgbKjjLgeMd`NaWOZSPWNQTIQRENXI\ LbLJhOHnRMjSQfSUbTY_TaWUeSUiOVmLVqHWuDWz7VyAWxDWwF\ XwIXvLYuNYuQYtTZsVZrY_r`_qb`pe`leWpg`tiexkjxjixihx\ hgxgfxfexedxecxdbxcaxb`xa_x`ZzcWx`YvYZtV`rTapQcnNd\ lKfnKjjIggHedGbaE`ZDYjLZWCWrE`H4UI6TJ8TJATKCSKESLG\ SLIRMJRMLRNNQNPQORQOTPPVPQUMPWPPYSO_VOaYNc_NebMgeM\ ihMkjQehU_fYUd`PbZReXSgWUiUVkSWmRYoPZqO_sSTmWNgZHa\ bBWd4Pe5Re5Se5Te5Ve5We5Xf5Zf5_f5`f5bf5cf5df5edAabE\ Z`JWZNTYSQWWNU`KSdHQiEPmB } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Random Dot Stereograms
by Jay Litwyn 17 Feb '10

17 Feb '10

I think it is a matter of deleting the depth factor. The default of one hundred is too much. If I reduce it to thirty (about what it was for stereograms that were once printed every week in comics, here), then simplify the code according to a constant depth, then I will probably find the bug in it, too. Then I can either put the depth factor back in or let someone else do a good job of it. What is daunting is the sophistication of the code, now, since I see that there are graduations between most heights. Maybe I should see if the code can make steps between all heights. So, in sum, it is like: 1. Delete depth factor code. 2. Delete edge-blending code. 3. Choose a minimum and maximum depth that make for 256 heights that blend when only one difference in colour is. 4. Consider making it scale and interpolate, again. 5. Start with what I actually promised to do, elsewhere. :) _______ http://ecn.ab.ca/~brewhaha/img/STEREOD.GIF Stereogram diagnostic--256 numbered (and coloured) shades of gray that should look like a mountain road in RDS. It would be trivial to arrange it in a square spiral, which might be more informative, yet. Fun: Try reducing the colours in a 24bit grayscale to the map in that diagnostic. The hue will always be wrong, so you will get a lot of noise to diffuse. (order.map)

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FOTD 17-02-10 (The Big Wheel [No Rating])
by Jim Muth 17 Feb '10

17 Feb '10

FOTD -- February 17, 2010 (No Rating) Fractal visionaries and enthusiasts: Laziness took a setback Tuesday when a new job came in, but a fractal still appeared, almost by magic. The fractal is another of the near-Julia Seahorse Valley kind -- this one of order 15. Most of the effect was achieved by rendering the scene with the outside set to 'tdis', and also by the coloring. With nothing new in the image, I could not give it a rating. The name "The Big Wheel" refers to the circular arrangement of fifteen smaller buds around the circumference of the large bay. The calculation time of 2-1/3 minutes is surprisingly fast; the trip to see the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will be even faster. But before surfing, give Paul a chance to post the image. Light snow continued Monday night here at Fractal Central. By the time it ended at 10am Tuesday about 1-inch 3cm had piled up. Tuesday afternoon turned mostly sunny, while the temperature hovered around freezing and the fractal cats took things easy. The next FOTD will be posted in 24 hours. If all goes well, it will be something new. Until then, take care, and if a fractal isn't broke, don't try to fix it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Big_Wheel { ; time=0:02:21.75-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t center-mag=0/0/0.928 params=89.95/0/89.95/42.6/\ 0.003/0.87909/0/0/15/0 float=y maxiter=15000 inside=255 outside=tdis symmetry=none periodicity=6 colors=000000cUBzcMsFPoGRkHThHVwIc`JZYJzXQYWWVVaSU\ gPTmMSsJSyHWgD_Q9b86dAEfCMhDUjFalHinIqmNnlSklXikaf\ jfcjkaipZiuXbmZXf_Q_`KSbDLc7Ed8Jf9Ng9RiAVjB_kBcmCg\ nCkoElkGmgHncJo_KpWMqSNrPTiOY`ObSNgJNlAMq1Mi6KaBIU\ GGNKEFPC7UA0Y8C`GNcOYeWhhcsjjhejZ`jPWjFRj5Mj8GcABX\ C5QE0KD6JCBJBHJAMJ9RJ8XJ7aJ6fJViFrlCdr`Rxytuktwotx\ sqtpopnmlljhjhdhf`fdXdaTa_P_YLYadjidnqdqxdtqbsj`rc\ ZqXXpQVoJTnCSnHVhLXbQ_XUaSYdMbfGfiAjk5fhEbeNZbWV_d\ RXmNVvKYqH`lEcgBfcIkUOpKVuA`z1ct6fnAhhEkbInXMpRQoP\ OoOMoNKnMInLGnKEhMIcNLYPOTQRORVITYDU`8Vc7Yf7_h6aj6\ cl5en5gpAbmEZkIViMRgQNeUJcYFaaB__H`ZN`XTaWYaUZ`R``\ Pa_Mb_Kd_HeZFfZDgZCeYCdYCbYCaYC_YBZYBXYBWYBUYBTYBS\ YGV`LXcQZfU`iZclceohgrliujfvidvhbwg`wfZweXxdVxcTxb\ RyaPy`Ny_Sq_XiZabZfVYkNYoGWiKVcOUYRTSVSNZRHaQBeP5i\ O0ld5iuAfaJdIRcGP`FNYDMWCKTAJR9HO8GMAJKCMIEPHGRFIU\ EKXCM_BOa9Qd8Sg6Ti5Od6HFK } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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Random Dot Stereograms
by Jay Litwyn 16 Feb '10

16 Feb '10

I think it is a matter of deleting the depth factor. The default of one hundred is too much. If I reduce it to thirty (about what it was for stereograms that were once printed every week in comics, here), then simplify the code according to a constant depth, then I will probably find the bug in it, too. Then I can either put the depth factor back in or let someone else do a good job of it. What is daunting is the sophistication of the code, now, since I see that there are graduations between most heights. Maybe I should see if the code can make steps between all heights. So, in sum, it is like: 1. Delete depth factor code. 2. Delete edge-blending code. 3. Choose a minimum and maximum depth that make for 256 heights that blend when only one difference in colour is. 4. Consider making it scale and interpolate, again. 5. Start with what I actually promised to do, elsewhere. :) _______ http://ecn.ab.ca/~brewhaha/img/STEREOD.GIF Stereogram diagnostic--256 numbered (and coloured) shades of gray that should look like a mountain road in RDS. It would be trivial to arrange it in a square spiral, which might be more informative, yet. Fun: Try reducing the colours in a 24bit grayscale to the map in that diagnostic. The hue will always be wrong, so you will get a lot of noise to diffuse.

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FOTD 16-02-10 (Ray of Futility [No Rating])
by Jim Muth 15 Feb '10

15 Feb '10

FOTD -- February 16, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's image does the same thing with the northern Seahorse Valley of the Z^3+C Mandeloid as yesterday's image did with the single Seahorse Valley of the classic Mandelbrot set. I named the result "Ray of Futility" for reasons known only to myself and already forgotten. I could do this same thing with Mandeloids of every higher order, though the result would soon devolve into higher-order sameness. I might try just one more however, perhaps of a fractional order like 2.5 or 1.5. Sameness is boring, so I decided to give no rating to the image. The calculation time of 9 minutes is more than I think the image is worth, so to make life easier I recommend viewing the already finished product on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday, Presidents' day, here at Fractal Central began sunny, but the pleasant conditions didn't last long. By midday threat- ening clouds moved in and at 3pm snow arrived, while the tempera- ture hovered within a degree or two of freezing. Early in the afternoon the fractal cats gave up waiting for the sun, and spent the rest of the afternoon finding the coziest sleeping places in the house. My day was about average, though far more active than the past two days, when I did nothing at all. All who would like to see another glorious fractal will have their wishes fulfilled at this same place in 24 hours or so. Until then, take care, and technology is the answer to all problems. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ray_of_Futility { ; time=0:09:02.37-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t center-mag=0/0.175365/0.93633 params=89.98/0/89.98\ /90.5/0.005/0.7698185/0/0/3/0 float=y maxiter=15000 inside=0 outside=tdis periodicity=7 colors=0009BS9DU8FU8HU8JU8LU8NU7PU7RT7TS7VQ7WP7UQ7\ TQ7RQ7QQm8Ue7WY6YR5_SFaSOcSYdSffSphSyiRwhRvgRufRte\ RsdRqcRpbRoaQn`Qm_QkZQjYQiXQhWQgVQfUOaUMYUKTUIOUGK\ UEFUM4UH8U2JU4IU5HU7GU8FUMlzOjzPlzQozSrzTtzUwzVyzX\ wzZwz`vzbvzcvzavv`vr_umYuhXucWu_VvWTwVSwURxTPySOyR\ NzQMzQHnRCmR7mS3mS6mQ8mPAmOCmNEmLGmKJmJLmINmGPcFRc\ ETcDVcCVcIVcNVcSUcVUhYTm_TmbSmdSmgRmiRmlRmnPmjOmgM\ mcLm`JmXImUGmQFmNHmMJmLLmKNmKPmJRmITmIUmHWmGYmG_mF\ amEcmEemDgmChmCdmTdmSemRemPemOemNemLfmKzDJzAHz8Gz6\ Fz7Kz7Pz8Uz8Zz8cz9hz9mz9qzCozmmzmkzmiiKziMziOziQzh\ TzhVzhXzhZzh`zhbzhdzhfzibzjZzkVzkRzlOzmKzmGznCzo8z\ o5zoGzoRzoazolzowzOJzYVzffzoqzhmzbm`XmZRmXLmVFmT9m\ R3mP4mS5mU6mW7mZ7m`8mb9mdAmgBmzBmkCmmDmpEmrFmtFmvK\ msOmqSmoWmm_mkcmigmgkmeimcgmbezzdzzbzz`zz_zzYzzWzz\ VzzTzzRzzQzzOzzMzzLzzQzzMzzJVzGLziOzTHzcvz_ozWhzSa\ zOVzKOzGHzMozHVzNGzIDz9Vz } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 15-02-10 (Seahorse Holiday [No Rating])
by Jim Muth 14 Feb '10

14 Feb '10

FOTD -- February 15, 2010 (No Rating) Fractal visionaries and enthusiasts: I spent the day Sunday enjoying how pleasant it is to actually spend a day doing nothing of importance. Despite the attack of laziness, I did manage to find a fractal. The fractal is simply another version of the effect I demonstra- ted in yesterday's FOTD image, where the grossly bloated image of a tiny part of the Mandelbrot set is seen lying in its corres- ponding Julia set. This time I chose a scene in the southern branch of Seahorse Valley to enlarge and fit into its Julia set. A careful tweak- ing of parameters placed the enlarged valley straight through the center of its Julia set. The name "Seahorse Holiday" has a kind of fun-fantasy ring to it. The lack of a rating indicates that I took the lazy way out when finding the image. The calculation time of under 3 minutes will make life easy for all but the most impatient fractalists. These impatient few may find immediate viewing pleasure on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is or soon will be posted. Peace prevailed here at Fractal Central on Sunday, both among cats and humans. The weather was peaceful also, as the clouds failed to drop their snow and the temperature reached freezing. The next FOTD, very likely another venture into the abstract world of four dimensions, will be posted in 24 hours. Until then, take care, and fight the latest epidemic -- the epidemic of fractal addiction. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Holiday { ; time=0:02:52.38-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t center-mag=0/0\ /0.8810318 params=89.9/0/89.9/89/-0.75007/-0.01/0/\ 0/2/0 float=y maxiter=32767 inside=0 logmap=yes periodicity=9 colors=000PHZSGYVFXYDW`CVcBUf9Ui8Tl7So5Rr4Qu4Px4Pv\ AQuGRsMSrRSqVToZUnbUlgVkjWjkWljXmhXnfXocXp`XqYXrWX\ sTXtQXuNXvKXwHXxEXyCXpHOhLG_Q8SU0NPBIKLDFV8Bd9Ab9A\ `A9ZA9XB8VB8TC7RC7QD6OD6ME5KE5IF4GF4EF4DJAIMFNQKRT\ PWXU___dcdhfimjnqmsvpxzrruslqtglvahwWcxR_uTarVcpXd\ mZfj`hhaieckbem`gnYipWjqabgfVZkNQpFHu78rCFpGLmLRkP\ XhUbfYhcbnaft_jzZhrYfkXdcXbXW`QVZIUXBUV4VX5WY6XZ6Y\ `7Za8_b8_d9`e9afAbhBciBdjCdkCfjCgiChhCjgCkfCSiQShM\ ThIThLThPSfUReZQdcPchObmNarM`wL_wKZwJYwIXwHWwGWwFX\ wEYwDZwC_wB`wAaw9br3cm8dhCecGfZKgUPhPTiKXjF`kGUlIN\ mLCnOGoNJpNNqNQrNUsNXtN`uNcvNgwNjxNcxNcxNcxNcvMcuL\ ctKcsJcqIcpIcoHcnGQmzQmzRmzSmzSmzTmzUmzVmzVmzWmzXm\ zYmzYmzZmz_mzXmz_mzbmzemzgmzjmzmmzomzrmzumzxmzwmzw\ pzvwzvwzvwzuwzuwzuwztwztwztwzswzswzuwzswzrwzpwzowz\ mwzlwzjwziwzgwzfwzdwzcwzawz`zz_zzVzzQzzIzzLzzNzzPz\ zRzzTzzVzzXzzZzz`zzbzzdzz } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 14-02-10 (A Crazy Angle [6])
by Jim Muth 14 Feb '10

14 Feb '10

FOTD -- February 14, 2010 (Rating 6) Fractal visionaries and enthusiasts: Not surprisingly, the antiquing bug did bite on Saturday, which explains why this FOTD is late. The name "A Crazy Angle" refers to the orientation of the image slice through the 4-D (Z^2+C) Julibrot. In the background of the image we see a grossly magnified version of the normally insignificant period-30 bud on the south shore of East Valley of the Mandelbrot set. The ridiculous enlargement is due to the angle at which the image cuts the actual 4-dimensional bud-complex. The closer the orientation lies to the true Julia direction, the greater the enlargement, and since today's image is cut 0.015,0.015 degrees from the actual Julia, the enlargement is spectacular indeed. (At the actual Julia orientation, the enlargement is infinite, and the same point of the bud is reflected in the entire scene.) Do not try to visualize how an object may be magnified in two dimensions by simply varying the direction in which it is sliced. It's another of those 4-D mysteries, like exiting a completely closed room by stepping around the wall, that make no sense in 3-D space. I rated the image at a 6, mostly because of the mathematical interest. The calculation time of 4-1/4 minutes is slower than I would have preferred, but with the image maxiter at 120,000 it is quite reasonable. And of course, the finished image, for all it is or is not worth, is posted for immediate satisfaction on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies, a high temperature of 30F -1C and a few flakes of snow made for a typical midwinter day here at Fractal Central on Saturday. The fractal cats passed the day sleeping. The next FOTD will be posted in 24 hours. Until then, take care, and free your mind from the bonds of convention. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Crazy_Angle { ; time=0:04:14.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t center-mag=0/0\ /1.182144/1/90/0 params=89.985/0/89.985/20/0.26065\ /-0.0022/0/0/2/0 float=y maxiter=120000 inside=0 logmap=yes periodicity=6 colors=000PHZSGYVFXYDW`CVcBUf9Ui8Tl7So5Rr4Qu4Px4Pv\ AQuGRsMSrRSqVToZUnbUlgVkjWjkWljXmhXnfXocXp`XqYXrWX\ sTXtQXuNXvKXwHXxEXyCXpHOhLG_Q8SU0NPBIKLDFV8Bd9Ab9A\ `A9ZA9XB8VB8TC7RC7QD6OD6ME5KE5IF4GF4EF4DJAIMFNQKRT\ PWXU___dcdhfimjnqmsvpxzrruslqtglvahwWcxR_uTarVcpXd\ mZfj`hhaieckbem`gnYipWjqabgfVZkNQpFHu78rCFpGLmLRkP\ XhUbfYhcbnaft_jzZhrYfkXdcXbXW`QVZIUXBUV4VX5WY6XZ6Y\ `7Za8_b8_d9`e9afAbhBciBdjCdkCfjCgiChhCjgCkfCSiQShM\ ThIThLThPSfUReZQdcPchObmNarM`wL_wKZwJYwIXwHWwGWwFX\ wEYwDZwC_wB`wAaw9br3cm8dhCecGfZKgUPhPTiKXjF`kGUlIN\ mLCnOGoNJpNNqNQrNUsNXtN`uNcvNgwNjxNcxNcxNcxNcvMcuL\ ctKcsJcqIcpIcoHcnGQmzQmzRmzSmzSmzTmzUmzVmzVmzWmzXm\ zYmzYmzZmz_mzXmz_mzbmzemzgmzjmzmmzomzrmzumzxmzwmzw\ pzvwzvwzvwzuwzuwzuwztwztwztwzswzswzuwzswzrwzpwzowz\ mwzlwzjwziwzgwzfwzdwzcwzawz`zz_zzVzzQzzIzzLzzNzzPz\ zRzzTzzVzzXzzZzz`zzbzzdzz } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 13-02-10 (Negative Pi [5])
by Jim Muth 12 Feb '10

12 Feb '10

FOTD -- February 13, 2010 (Rating 5) Fractal visionaries and enthusiasts: Today's venture into the world of Pi takes us to the negative X-axis area of yesterday's parent fractal, where we find a cluster of Pi-minibrots in an intricate network of interlaced filaments. I decided to rate the image at a 5, mostly to point out that I put almost no effort into it. The name "Negative Pi" has no meaning, but it was very easy to think of. The calculation time of 1-1/2 minutes will pass swiftly. But I leave it to the viewer to judge whether the time is well spent. The finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A perfect midwinter day prevailed here at Fractal central on Friday, with near clear skies, a high temperature of 34F +1C, and light winds. The fractal cats enjoyed the sunshine that flooded their window shelf most of the afternoon. My day was, believe it or not, spent mostly in relaxation -- something I have seen far too little of recently. When FL saw me slouched in my overstuffed chair, she said it's about time I slowed down. The next FOTD will be posted in 24 hours. But if an unexpected antiquing trip comes up tomorrow, the FOTD might be delayed until Feb 15, but it will eventually appear. Until whenever, take care, and we had best look into mind travel to the stars, because we will never make it there physically in the clumsy inefficient contraptions we call chemical rockets. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Negative_Pi { ; time=0:01:32.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=-1.468318766312069/+0.0010893028439826/\ 2.322823e+012/1/71.5/0 params=3.14159265358979/\ -3.14159265358979/0/0 float=y maxiter=1650 inside=0 logmap=106 periodicity=6 mathtolerance=0.05/1 colors=000kAKg7Kd8Ka9FZA9Y70UB4RE8NHCKKLHNKGOPFQOK\ SNUVMcXLmZKvaJzcIvbCmeIchNUkSKmXBpcBshAvnByzAxsAxl\ AweAwZAvSAvMAuF2w5Au9HqDPmHWhLcdPhcQj`SlYUmVWoSYpP\ _rMamPbhUccZdZceUhfPigKjhKiiKkhKlhKnhLohNphPrhRshC\ vaSthgrovqvpppjojend_mZWpSVlUVhVVeXUcYUc_ecUUc`Icg\ 6cn5ci4cd4c_3cV2cQ2cL1cG1cC4cD6cE9cFBcGDcHGcIIcJKc\ JKcLKcMKcNObPR_QVXRYUS`RTdOUgLVjIWnFXqCYt9ZqDYoGYm\ JYjMYhPYfSYdVYaYY_`YYcYVfYTiYRlYPoYRmZSk_Ui`VgaXea\ Ycb_bc``dbZdcXeeVffTggSgeTdcTbaT`_UZYUXWUVUUTSVRQV\ POVNMVLNXOOYRP_UQ`XQa_RcbSdeTfhUgkUhmdmbhmckmdomer\ mfumgqmbmmZimVemRamNYmJUmFVmHWmIXmJYmKZmL_mM`mN`mO\ amPbmQcmRdmSemTfmUfmVbmWZmWVmWRmWzzXzzXzzXzzXzzXzz\ XzzXzzXzzXzzXzzXzzXzzXzzUzzRzzPBzzCzzDzzFzzGzzHzzK\ zzNzzPzzSzzUzzYzz`zzczzfzzjzzmzbpzeszivzlozkhzjazj\ VziOzhHzhAzg4zg7zc9z`CzXEzUGzQJzNLzJNzGPzHQzHSzHTz\ HUzHWzIXzIZzI_zI`zItzhpzb } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 12-02-10 (Pi in the Formula [6])
by Jim Muth 12 Feb '10

12 Feb '10

FOTD -- February 12, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is late. No excuse. I simply never felt like writing a discussion. Forget + and - Epsilon! We have moved on to + and - Pi. The Pi parent fractal is basically the same as the Epsilon, with today's scene located on the northern edge of the wedge where East Valley would be expected. The rating is another 6, and why not? The image is of average quality. Ten years or so ago, today's image might have rated a 7 or an 8, but while the world of fractals has moved on, the FOTD images have remained pretty much the same. Actually, I have had my share of 'progress'. The definition of progress is an advancement toward a goal, and I seem to have lost track of the goal. Oh well, if so many think progress is such a great thing, who am I to differ. And what would be the alternative? . . . Regression? (Maybe this would not be as bad an idea as some would have us believe.) My first idea of a name for today's image was 'Pi in the Sky' but I suspect I might have already used that name, so I named the image "Pi in the Formula". The calculation time of 6-1/2 minutes is slower than recent images, but still fast enough to avoid wasting too much time. And no time at all will be wasted when the finished image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Total sunshine here at Fractal Central on Thursday made the fresh snow sparkle. The temperature of exactly freezing made it pleasant to enjoy the sparkle. The extra serving of tuna and cheddar made the fractal cats' eyes sparkle. My eyes sparkled this morning when I finished the snow-removal job and came inside to find FL had prepared a large mug of hot chocolate topped with whipped cream. The remaining eyes will hopefully sparkle when they see today's fractal. If not, perhaps tomorrow's fractal will do the job. For continuing sparkle, check back at this same spot in about 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pi_in_the_Formula { ; time=0:06:25.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip center-mag=+0.3686175025182685/+0.0374022990253012\ /3.491618e+010/1/-22.5/0 params=3.14159265358979/\ -3.14159265358979/0/0 float=y maxiter=12000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000`7Fc7Cf7Gi7JlDMoIPrOSuUVxZYzd`zjczofznez\ ndznczmbzmazm`zl_zlZzlYzkXzkWzkVzjUzjTzjSziQziPziO\ zhNzhMzhLzgKzgJzgIzfHzfGzfFzeEzeDzeCzdBzdAzd9zc8zc\ 7zc6yb4zpkzokzojznjznizmizmhzlhylgxkgwkfvjfujeties\ idrhdqhcpgcogbnfbmfaleakeajd`id`hc_gc_fbZebZdaYcaY\ b`Xa`X`_W__WZZVYZVXYUWYUVXTUXTTWSSWSRVRzpkzokzokzn\ kzmkzmkzlkzkkzkkzjkyikyikxhkwhkvgkvfkufkteksdksdkr\ ckqbkpbkpakoakn`km_km_klZkkYkjYkjXkiWkhWkgVkgVkfUk\ eTkdTkdSkcRkbRkaQkaPk`Pk_OkZNjzpjzpizpgzpfzpezpczp\ bzp`zp_zpZzpXzpWzpUzpTzpSzpQzpPzpNzpMzpLzpJzpIzpGy\ pFypEypCxpBxp9xp8wp7wp5wp4vp2zokzmkzlkxjkviktgkrfk\ zpjodjmcjkaji`jfZjdYjbWj`VjYTiWSiUQiSPiPNiNMiLKizW\ SzUQzTPz70z90zB0zC0zE0zF0wH0tI0qK0nK0kK0BK0hK0gK0f\ K0eK0cK0aK0_K0YK0WK0VK0WK0WK0WK0WK0XK0XK0XK0XK0XK0\ YK0YK0YK1YK2YK2fL0H70H70H80FB0IE0KG0NI0PK0RN3UP6WR\ 9YTC`WFbYIe_LgaOidRlfUnhX } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 11-02-10 (Epsilon Conspiracy [6])
by Jim Muth 10 Feb '10

10 Feb '10

FOTD -- February 11, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a further investigation into the world of Epsilon both positive and negative. I named it "Epsilon Conspiracy" because I kind of enjoy conspiracy claims, even if only to wonder how anyone could actually believe some of them. The image, a fine example of side-by-side order and chaos, is located in a star-shaped island in the Seahorse Valley area of its parent fractal. The rating of a 6 is the fourth or fifth consecutive one, but that's all I could honestly give the image. The calculation time of 1-4/5 minutes is unexpectedly fast, almost as fast as the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image there. Heavy snow fell all day Wednesday here at Fractal Central, while the temperature hovered around 27F -3C. By the time the snow wound down in the evening, about 14 inches 35cm had piled up. The fractal cats looked rather puzzled at the sight of a world that had suddenly turned white, but they soon settled down by the heat. My day was rather busy, mostly with clearing the sidewalk, while FL kept busy supplying the hot coffee. Several inches still remain to be cleared away however, so I will probably start the day Thursday shoveling more snow. (A snow blower is a good idea.) The next FOTD will be posted in 24 hours. Until then, take care, and be a good one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Epsilon_Conspiracy { ; time=0:01:50.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=-0.233861779803/-0.1438627296398/5e+008\ /1/-81/0 params=2.71828182845905/-2.71828182845905\ /10/0 float=y maxiter=5000 inside=0 logmap=85 colors=000hpqenpbln_jmXhkTfiQdhNbfK`eHZczzbtz`mz_c\ zOUzD1z2MqDehN_aQUWTOQVIKYDE_HD`KCaOBbRAbV9cY8da7d\ d6eh5fk4go3gz2hz1izPlvOhrLfoFdl9ch3`e3Zb7_aAX_DVYG\ WVJWUMWSQXRTXPWXNZYMaYKdYJgYIgYIgYIfYIfYIeYIeZIdZH\ dZHdZHcZHcZHb_Hb_Ha_Ga_G`_G`_G``G_`G_`GZ`9DhGZ`FY`\ zmazhazcavZarWamWahVbcVbZUbUUbPUbKTbETbDScDScDRcDR\ cDRcDQcDQdCPdCPdCOdCOdCNdCNeCNeCMeBMeBLeBLeBKfBKfB\ KfBJfAJfAIfAIgAHgAHgAGgAGg9Gg9Fh9Fh9Eh9Eh9Dz9mzHmz\ GfzG`zG_zFZzFYzFXzEWzEVzEUzDTzDSzDRzDQzCPzCOzCNzBM\ zBLzBKzAJzAIzAHz9Gz9Fz9EzXVzWUzVUzVTzUTzTSzTSzSRzR\ RzRQzQQzQPzPPzOOzOOzNNzMNzMMzLMzLMzKLzJLzJKzIKzHJz\ HJzGIzFIzFHzEHzEGzDGzCFzCFzBEzAEzADz9Dz86z97z97z97\ z97z97z98z98z98z98z98z99z99z99z99z99z99z9Az9Az9Az9\ Az9Az9Bz9Bz9Bz9Bz9Bz9Bz9Cz9Cz9Cz9Cz9Cz9Dz9Dz9Dz9Dz\ 9Dzt_zmWzfTz_QzTMzMJzFGzbezadzadz`cz`cz`cz_bz_bzZa\ zZazZazY`zY`zX`zX_zntzkrz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 10-02-10 (Shark's Teeth [6])
by Jim Muth 09 Feb '10

09 Feb '10

FOTD -- February 10, 2010 (Rating 6) Fractal visionaries and enthusiasts: The formula behind the parent fractal of today's image includes only one sign change, but that change makes a world of difference. I'll not try to describe the difference, which is better observed than described. Today's scene lies very near the negative X-axis of its parent, in an area as full of holes as a sponge. The sponge-like characteristics are quite obvious in the image. The rating of a 6 seems fair enough. I was a bit disappointed when I saw the finished product, which holds the rating down. The name "Epsilon in the Oats" makes no more sense than first appears. The calculation time of 1-3/4 minutes is surprisingly fast for an image with so much 'inside' area. The solution to the calculating situation is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and see the finished image there. Grey skies and a temperature of freezing here at Fractal Central on Tuesday gave way to light snow at nightfall. The forecast of a blizzard on Wednesday seems a bit exaggerated, but we'll see what happens. The fractal cats never worry about what might happen tomorrow. They live in the present. As for me, I expect another round of sidewalk clearing, with FL manning the coffee maker. The next FOTD will be posted in 24 hours. Until then, take care, and live positive. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= EpsilonIn_the_Oats { ; time=0:01:45.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=-0.88017347028/+0.01304219178/138098/1/\ 46.25/0 params=2.71828182845905/-2.71828182845905/\ 0/0 float=y maxiter=1050 inside=0 periodicity=6 colors=000fESaCNW9IR7DL48hKUfISdHQbGO`FMZELXCJVBHO\ MPNMRNNRNMSNLTNKTNKUNJUNIVNHVNHWNGWNFXOG_NFYNFXMFW\ MEVLEULETKDSKDRJDQJCPICOICN95OICMQIKYOJeUHm_FzcCue\ EqfGmhIiiKekLalNYnPUoRQqSMrUItWEuYAvZDuYGuYJtXLtXO\ tXRsWUsWWsWZrVarVdqUfqUiqUlpTopTuwYssVqpTomRmjPkgN\ idLhaJMBHNCFODDQEBSF9UG7WI5YK9_MDaPHcSKeUOgXSi_Wkb\ ZmebogfqjjsmmupqwsuyuxwrvuputmsrkrphqofomcnkamjZkh\ XjfUieSgcPfQ2tbNeoofokZogRxwRsmNocJkUFeS6gLCiFHk8N\ l2SUJKwaEwZDwWDwTCwQCuOBvLBwIAvFAtDArDAmDBhDBcDBZD\ CUDCPDCKGBFJAAMA5P92S91V81Y81`71c61f60i50l50o40r40\ u30x35s9AnEFiKKdPP`VUW_ZRecMjhHpmDujCzgBzdAzH5za9z\ Z8zX7zU6zR5zO4zL3zI2z9FzAEzADzADzBCzBCzBBzCAzCAzC9\ zD9zD8zD7zE7zE6zE6zF5zF4zF4zG3zG3zG2zCozDlzDizDfzD\ czEazEZzEWzETzERzFOzFLzFIzFFzGDzGAzG7zG4zNSzMQzMPz\ MOzLNzLMzLLzKKzKJzKIzKHzJGzJFzJDzICzIBzIAzI9zH8zH7\ zH6zG5zG4zG3z7dzwMzqJzlHz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 09-02-10 (Shark's Teeth [6])
by Jim Muth 08 Feb '10

08 Feb '10

FOTD -- February 09, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies in the same parent fractal as yesterday's, but instead of lying in the eastern wedge, it lies in the fractal debris along the negative X-axis, just beyond the main body of the parent. I named the image "Shark's Teeth". My first impression upon seeing the finished full-size image was that of an Epsilon minibrot surrounded by a neclkace of shark's teeth. The rating of a 6 seems fair. The image really has little to set it apart from so many that have gone before, and due to the work that pays, I kind of ignored the colors. One good feature is the calculation time of only a hypersonic 47 seconds, a time that will pass in a flash. The finished image may also be seen by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday was a fine day here at Fractal Central, with total sunshine and a temperature of 34F +1C. This made the fractal cats so happy that they showed their pleasure by following a moving sunbeam across the floor for several hours. When the sunbeam escaped onto the wall, they decided it was time for food. My day was reasonable, but in no way does this imply I am a slave to reason. At times I can be quite unreasonable. The next FOTD will probably be posted in 24 hours. Until then, take care and escape the bonds of reason. Do something unreasonable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Shark's_Teeth { ; time=0:00:47.01-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip center-mag=-1.645701994375886/+0.00000008655038691\ /1.90646e+009/1/70/0 params=2.71828182845905/2.718\ 28182845905/2.71828182845905/0 float=y maxiter=3600 inside=0 logmap=104 periodicity=6 colors=000000zzzzpRzdTwXWrTYgPeX0_000H00gzzdwzbtz_\ rzYnzVkvThmQecOdYLbYJ`YGZZEXZBV_9T_TO6_P9cPBhPErQG\ zQKsQLwUOwZQwcTwhV7mmZrmXvmVzmTzmRzmPzmNzmzzazzazz\ `zz`zz`zz_zz_zzvzzszzqzzozzlzzjzzhzzezzczzazzxzzuz\ zszzqzzozzPzzTzzXzzTzzQamOakNaiLagKadIabHa`GaZEaWD\ aUBaSAaQ9VMJOISIE`LPYO_WRjUTuSQqVOmXMi_KeaIadGYfEU\ iCRkFPiINhLMgNKfQJeTHcVFbYEa`C`bB_`GYZLWYQVWVTU_RT\ dQRiOQmNRkORjOSiOShOSgPTfPTePTdPScQScQRcRRcRQcRQcS\ PcSPcSOcTOcTOcTNhONlKNpFNrBLpDKmFJjHIgJHdKGaMFZOEW\ QDmSCmUFmcImmLmwOmzQmzTmzWmzZmz`mzYmzVmzSmzPmzMmzz\ m`zmazmbzmezmgzmizmkzmlzmnzmpzmqzmszmtzmvzmwzmtzzq\ zznzzkzzhzzezzbzz_zzzHzzJzzKzzLzzMzzNzzOzzPzzQzzRz\ zSzzTzzUzzVzzWzzLzzBzz1zz9zzGzzNzzUzzQzzNzzKzaHzkE\ ztIzrLzpOzoSzmVzlYzj`zidzghzekzdpzbszaxz_zzZxz`vzb\ uzdrzepzgozilzkjzlhznfzpezq`znXzlSzjQziAzzAzzAzzAz\ zAzz9zz9zz9zz9zz8zz8zz8zz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 08-02-10 (Epsilon-Epsilon Etc. [6])
by Jim Muth 07 Feb '10

07 Feb '10

FOTD -- February 08, 2010 (Rating 6) Fractal visionaries and enthusiasts: To find the parent fractal of today's image, I simply entered the number Epsilon into the three significant registers of the FinalDivideBrot formula. When the calculation finished, I found on the screen a Mandelbrot set with a divided main stem and a broad wedge where East Valley should be. Today's scene is located at the northern edge of this wedge. The name "Epsilon-Epsilon Etc." refers to the Epsilons in the calculated expression. The rating of a 6 might have been a bit higher if I had taken more time on the coloring. The calculation time of 4-1/4 minutes will leave ample time for other things. And if even 4 minutes is too slow, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Total sun and a temperature of 30F -1C here at Fractal Central on Sunday, kept the fractal cats at rest. At least they were pretty quiet whenever I checked on them. My day, as well as FL's day, were non-eventful. The next FOTD, whatever it may be, will be posted in about 24 hours. Until then, take care, and if we cannot get to outer space, why not turn to inner space? It might not be 'real' but from what wise men claim, reality is all in the mind of the beholder, and 'outer space' might not be real either. P.S. Now I've got some ads to watch, with some football breaks thrown in between. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= EpsilonEpsilon-Etc { ; time=0:04:14.41-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip center-mag=+0.2134285224819938/+0.1466826762242518\ /4.321825e+008/1/87.5/0 params=2.71828182845905/\ 2.71828182845905/2.71828182845905/0 float=y maxiter=3000 inside=0 logmap=331 periodicity=6 colors=000amOakNaiLagKadIabHa`GaZEaWDaUBaSAaQ9VMJO\ ISIE`LPYO_WRjUTuSQqVOmXMi_KeaIadGYfEUiCRkFPiINhLMg\ NKfQJeTHcVFbYEa`C`bB_`GYZLWYQVWVTU_RTdQRiOQmNRkORj\ OSiOShOSgPTfPTePTdPScQScQRcRRcRQcRQcSPcSPcSOcTOcTO\ cTNhONlKNpFNrBLpDKmFJjHIgJHdKGaMFZOEWQDTSCQTFNRIKP\ LHNOELQBKT8MW5OZ2Q`0SY5UVAWSFYPKZMP_JU`GXaDZbGZeJY\ gMWiPUkSRlVPnYNp`LqcIsfGtiEvlCwhFteIqbLn_OkXRhTUeQ\ XbN__KbXHeUJcSKbRLaQM`PN_OOZNPYMQXKRWJSVITUHUTGVSF\ WRELXMBaT1f_9gTGhMNiFUi9QhJNgTKfaHekEetIfrLfpOgoSg\ mVglYhj`hidhghiekidpibsjaxj_zjZxi`vibuidrhephgohil\ hkjglhgnfgpegq`enXclSajQ`iO_hKYeFWcUUqA629859A79BA\ 9DC8EF8GH8HJ8JM8LO7MR7OT7PW7RYk8f`DdRIbHN`gzzdwzbt\ z_rzYnzVkvThmQecOdYLbYJ`YGZZEXZBV_9T_TO6_P9cPBgPEk\ QGoQJsQLwUOwZQwcTwhV7mYZrdXvcVzcTzbRzbPzbNzazzazza\ zz`zz`zz`zz_zz_zzvzzszzqzzozzlzzjzzhzzezzczzazzxzz\ uzzszzqzzozzPzzTzzXzzTzzQ } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 07-02-10 (Wine-Dark Fractal [6.5])
by Jim Muth 06 Feb '10

06 Feb '10

FOTD -- February 07, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Due to my semi-expert coloring, today's image is rather pleasant to look at, rather like a glass of fine wine. How could I not name it "Wine-Dark Fractal"? The object at the center is a minibrot of order 10.5, which explains the peculiarities, such as splitting filaments and lack of any kind of symmetry. The parent fractal is basically a Mandelbrot set with lots of added attractions scattered about. The added attractions in today's parent M-set lie along the negative spike, which, when examined closely, is found to be infinitely divided. Today's image is located near but not exactly on this shattered spike The rating of 6.5 includes a 1/2-point bonus for my semi-expert colors. The calculation time of 24 seconds will pass in a flash. Those who dislike flashes may observe the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> About 10 inches, 25cm of snow piled up overnight Friday here at Fractal Central. When the snow ended at 10am Saturday, the rest of the day was cloudy with a temperature of 28C -2C. The snow here is rather notable, but nowhere near the 30 inches or 76cm my sister reports are on the ground back at Old Fractal Central, where Thomas, the last fractal cat of Old Fractal Central, sinks in up to his middle. The new fractal cats here at New Fractal Central ignored the snow. Their biggest excitement came when a pack of starlings landed in the yard to pick up the bread crumbs FL put out. As expected, my day was spent in sidewalk clearing and little else. The next FOTD is not only due, but might actually be posted in 24 hours. Until then, take care, and even if we do find the Higgs particle, what will be the benefit to the everyday man on the street? Then again, maybe God is a particle. Or did He merely create the particles? And if He did, who or what the heck made Him? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wine-Dark_Fractal { ; time=0:00:24.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip center-mag=-1.653872103168748/+0.000261245191652/\ 3904061/1/-30/-0 params=10.5/1000000/0/0 float=y maxiter=6400 inside=0 logmap=32 periodicity=6 colors=000COmBLkAIi9Fg9Ce89c76a63_60Z93RB5KD7DJ9EO\ AFUBFZCGdDHiEZkOclYfmgrnqxmzurzxuzzzzzSE2PI3MN4JR4\ GW5D_5eZIdYKdYLdXMdXNdWOdWPdVQdVRcVTcUUcUVcTWcTXcS\ YmSZmS_mU`mW`mY`m_`m``mbamdamfamhamiamf`md_mb_m`Zz\ ZZzXYzVYzTXzRXzPWzNWzUXz`XzgXznXzuXzrWzpWzmVzkVzhU\ zfUzcSz`RzYPzVOzSMzQLzNKzKIzHHzEFzBEz9DzJAzS7z`5zi\ 2zr0zn3zj5zf8zbAzZCzVFzRHzNKzJMzFOzBRz7Tz4Vz4Uz4Tz\ 4Tz4Sz4Sz4Rz4Rz4Qz4Qz4Pz4Pz4Oz4OzBNzIMzOLJzLEzKAzJ\ 6zI2zI8zGEzEKzCPzBVz9`z7fz5kz4sz3zz2xz7vzCuzGozIjz\ JezL`zMVzOQzPLzRGzSDzVAzY7z`4zc3z_3zW3zS3zP3zL3zH3\ zD3zA6z99z9Cz9Fz8Iz8Kz8NzBQzETzHWzKZzNazQczTfzWizZ\ lzaozdrzgtzirzjpzjnzklzkjzlizlgzmezmcznazn_zoZzoYz\ oXzoWznWznVznUznUznTzmSzmRzmRzmQzmPzl0zePzlOzlNzlM\ zkMzkLzkKzkKzkJzjIzjHzjHzjGziFziFziEziDziCzhCzhBzh\ AzhAzh9zg8zg7zg7zg6zf5zf5zf4zf3zf2zeLzdJzbHz_FzYDz\ VBzT9zQ7zOAzRDzUBzM6zM1zM } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 06-02-10 (Where is Somewhere [6])
by Jim Muth 06 Feb '10

06 Feb '10

FOTD -- February 06, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies in the vicinity of the northern branch of the Seahorse Valley of its parent fractal, which is a normal Mandelbrot set lying inside a circle of order (-25), with some extra stuff in its suburbs. I named the image "Lost in Somewhere" because it is not located actually inside the valley, but lies well inland near the north entrance of the valley. The rating of a 6 is rather good, but the rating might have been better if the colors had not turned out so intense and gaudy. The calculation time of 1-1/2 minutes is brief by any standards. And the finished image may be viewed on the FOTD web site without the need to calculate. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Grey skies and a temperature of freezing kept the fractal cats close to the heat here at Fractal Central on Friday. When snow began falling just after dark, they edged closer to the heat. My day, and FL's as well continued busy. The next FOTD will be posted in 24 hours. Until then, take care, and where is somewhere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lost_in_Somewhere { ; time=0:01:34.96-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip center-mag=-0.7869254797139406/+0.2823219861504817\ /3.212294e+011/1/7.6/0 params=-25/1000000000/-10/0 float=y maxiter=1600 inside=0 outside=tdis logmap=156 periodicity=6 mathtolerance=0.05/1 colors=000Bhp1dp0ap01Z0hp0Zp0Ok0p0pp0Sp00o000p00op\ pHDpo1pd0oV0VKDpp1pp0kp0VZ00p00p0pp0hh0ZZ0OO0p00p0\ 0o000h00Z00S01K0Z00O0D000000d00j0p0pp0pa0p00ZS0h4d\ 40SB0pppppapp0Sd0KSp0po0hK0Z00O00p00p11kaHOpZ1pz0z\ c0p10p04p07OaoO0B07Dp0pDpK1pH0pH0dDpppppD0B00D0hZa\ z00p00d00110H00000p0p4D10D704p0Bk0pZ0pOKph4pZ0zS0c\ K0pp0pd0p10p40p70dBp00aKVoahpophppSppBpp0zppppppU0\ pp0ppd0p0000100H00a10pD0pS0pd0pp0ppSp7zz0pp0pp0pp0\ pp0pp0pp1pp7pp1pp0pp0pp0pp0pp0pp0pBpp0pp0pp0pp0pd0\ pV0pK0pV0pd0kk0HpD0pZ0pK0p71p0Hp0ap0pp0pp0pp0pp0pp\ 0ph0pZ0pO1pDDp4Sp0ap1Vp4Op7HpDBkH4ZK0KO07d70pK0pV0\ pD0pK0dO0SS0DV01a00z00z40zH0zS0zO0aK0VH0OD0HB0B704\ 4001000000000000000000000100B0DO0VZAkhFppKppPppUpp\ ZppcpohphmparpSvpKzpBzo4zh0za0zh0zk0zo0zp0zp0zp0zp\ 0zp0zp0zp0zp0zp0zp0zp0zo0zk0zk0zh4zdHzdSzaazZkzZpz\ VpzSpzSpzapzhkzoazpVzpKzp } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 05-02-10 (Curling Curl-Ups [5])
by Jim Muth 05 Feb '10

05 Feb '10

FOTD -- February 05, 2010 (Rating No) Fractal visionaries and enthusiasts: Another very busy day kept the fractal exploration time to a minimum. But I still managed to find something in a very unusual parent, which is quite sensitive to changes in the escape radius. The name came about when the dark worm-like shapes surrounding the central minibrot reminded me of creatures called 'curl-ups' that exist only in the etchings of Escher, the mathematical artist. Unfortunately, too much math and too little art prevented me from giving the image a rating, and the rather slow calculation time of just under 8 minutes helped not a bit. The best way to view the scene for all it is worth is to see in already calculated on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday turned quite pleasant here at Fractal Central, with total sunshine and a temperature of 39F +4C. The fractal cats enjoyed both the sun and an extra treat of tuna. As stated above, my day was very busy. The next FOTD will be posted in 24 hours. Until then, take care, and why do we ignore the conscious observer in the much-sought-after theory of (almost) everything, which, even if it *is* found, will actually explain nothing? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Curling_Curl-Ups { ; time=0:07:48.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip float=y center-mag=+0.6360435800559266/+0.2236352912122147\ /6.218612e+010/1/-159/0 params=-1/3/-12/0 inside=0 maxiter=10000 periodicity=6 mathtolerance=0.05/1 colors=000BQcFIUGFOHCIDA8I9DM9HR9LV8P_8TjIIfDQb5Vc\ 8XdBYeD_fG`gJbhLciOeiNejQfkTflWflZgmagndglrdmlfngg\ nbhoYimWloTjpQhqOfrLdsIbtG`uDZz0dvBYrMRehlyVNoWKeX\ HWYE7b2NYBaUKwMWsOUpQSmRQIWUKYSM_QOaOPcNFZL6VJ8RHA\ OFCKDEHBGD9IA7J75IC9HGDGLHGPLFUPEYTEaWK_`PZeUXi_Wn\ dUsRhh``pnSziTweTu`UrpOuXUpEjiDfjDcjD_kDXkDTlDQlDM\ mts5Z`S89zDJmISaM`QRiEVr22Ro6QhAPbEOW36T8CSDHRINQN\ SQSXPXbOagNUhKZjLbkMflNjmOnoPrpQvqR5jqPmhgp_zrSlWS\ LoI_4TZASZFSYKRYPRXUQXZQaocZiXXcQUYJkN5BOQSSCVQEYO\ G`MIcKKfIMw3SpAQiGObMNWSLB`5PYKbVZyNttQppSllVhhXdc\ Z`_aXWcTE`ZLcUSePZhKejFum6llBdkFWjJOiNFhR9yO8sR8mT\ 7gV7aX6WZ6Q`5Kbs0wb5pMAj5Fd4Eg4Ei3Ek3Em3Do2Dq2Ds2D\ uBCnJCgRB`ZBU_FW`IYaL_bOacRcdUekXieXg`XeWXcRXbMX`H\ XZ3VZ8WYCXYGYYKZYO_YS`YWaYRdcWb`_aYc`Wg_TkZQoYOsXL\ 5MEXRHwWJvSIvPHvMGuIFuFEuCDxABu9Dr9Eo8Gm8Hj7Jg7Kd6\ Mf3Lb6NZ8OVAPRCRNESJGT7Ym } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] Re
by JackOfTradeZ＠comcast.net 04 Feb '10

04 Feb '10

Jim Muth wrote: > > .....and what ever happened to the > superconducting supercollider that > would reveal the secrets of the universe? > "Politics" was the main factor that killed it off back in 1993. Too many other states whined about not getting the same amount of funds for their own state, so they said if we cannot have the money then nobody is going to get it. Actually, it was money too. I had a cousin, electrical engineer, on the project. She said we just didnt have the spirit to go thru with it all. America is dying a death of a thousand cuts. Fortunately, the LHC in Europe will soon fill in the blanks (AND I can not wait till they fire that puppy up for real!) And now we, who developed most of the original space technology, and walked on the moon 40 years ago, will need to RENT Russian and Chinese launch vehicles to get into space! Obambo just cancelled our new manned space platform. We are going the way of ancient Rome. Get used to it. Cheers (if you can anymore) JoTz

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R: Re: R: FACEBOOK FOTD 04-02-10 (Bubbles in the Air [5])
by jakovll＠libero.it 04 Feb '10

04 Feb '10

ok, thanks! JL >----Messaggio originale---- >Da: Paul.N.Lee(a)Worldnet.att.net >Data: 04/02/2010 21.38 >A: <fractint(a)mailman.xmission.com> >Ogg: Re: [Fractint] R: FACEBOOK FOTD 04-02-10 (Bubbles in the Air [5]) > >Jacopo Longo wrote: >> >> is this group on facebook as well? >> I will check later on, got no time now. >> Thanks for posting images. >> > >The FractInt Discussion List is not on Facebook as far as I am aware of. > But you can view the postings and replies by going to the following >location and clicking the link for "Fractint Archives". > > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > >As to the FOTD's that Jim has on the web, those only get on Facebook >when somebody happens to use my hosting to link to the images. > > >Sincerely, >P.N.L. >------------------------------------------------- >http://home.att.net/~Paul.N.Lee/PNL_Fractals.html >http://www.Nahee.com/Fractals/ > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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FOTD 04-02-10 (Bubbles in the Air [5])
by Jim Muth 04 Feb '10

04 Feb '10

FOTD -- February 04, 2010 (Rating 5) Fractal visionaries and enthusiasts: NEW FORMULA VERSION ALERT! Today's formula is the final version of the DivideBrot series. The only change is that the variable escape radius now works. I'm still feeling a bit down, but the fractals keep coming, even if they are not quite up to the FOTD standards. When I heard on the news today that the plan to return men to the moon has been officially killed, it helped not at all. Its death was a fore- gone conclusion. As for today's fractal, it's an average one that rates a 5. I named it "Bubbles in the Air". The name partly refers to the effect of green froth in the image and also to the death of the space program, which has vanished like a soap bubble. I'm not sure the image is worth the 6-2/3 minutes it takes to calculate. But that time may be cut drastically by viewing the pre-calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 2cm, 0.8 inch of snow fell Tuesday night here at Fractal Cen- tral, but it vanished almost by magic when the sun appeared and the temperature reached 39F +4C Wednesday afternoon. The fractal cats purred their approval. For me and FL the day was average. The next FOTD, hopefully well above average, will be posted in 12 hours or so. Until then, take care, and what ever happened to the superconducting supercollider that would reveal the secrets of the universe? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bubbles_in_the_Air { ; time=0:06:38.23-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip float=y center-mag=-1.919886956766113/0/1.43142e+008/1/90/0 params=3/2/0/0 maxiter=8000 inside=0 periodicity=6 colors=0007ia8eXAaSCXMDTHFPCHJ3GL7GMAGNDGOGFPJFQMF\ SPFTSEUVEVYEW`EXcEYfIVhMTjQQlUOn`5zXMoTbdQrVSpTUnS\ VlQXkPYiN_gM`fKbdJcbHeaGf_EhYDoUBiXCd_C_bCUeDPhDKk\ DFmDEhFEdGD_HDWJCRKCNL8HKCJMGKOKLQOMRSNTWOVZQWbRYf\ S_jT`nUbrVduWeiTdZRcOObDMa3Lc2K`2JZ2IX2HV2HT2GR2FP\ 2EN2ELA9HH5DKBGNGJQLMTQPUYVUe_zvdwugqtjgsh`rfIqdHp\ cGoaFn_EmYDlXCkVBjTBiSCfRCdQCbPD_ODYODWNETMERLEPKE\ NKJbLOqLOmMOjMOgMOcNO`NOYNPXPPXRQWTQWVRWXRVZSV`SVb\ TUdTUfQVfTUhVTjXSlZRn`QpbPrdPteNsgMshKsiJsOUHWQUcM\ fYyBdcYUHRVITWIUXIVXIWYIYZIZZI__I``MacPchPhmUmrXrv\ _ryarxcrwdrvcrubrtaqs_prXoqUnpRmoOlnLkmIjkFkiClgCm\ hCnhCoiDpiDqjDrezDfuLgmSdm_el_fj_gi`hh`igajfaiibje\ akbakZalWamTamPanMaoJaoFapCap9anCclFdkHeiKfgNgfPhd\ SicUjaXk__lZamXdnVgoUipSlqRnrQksQhsPesPcsO`sOYsNVs\ NTsMQsMNsLKsLIsKFsKCsJ5tKAsKErKJqKNpKSoMUqKWoIYnG_\ mFalZzkUzjPziKzhFwzArl5mf } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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R: FACEBOOK FOTD 04-02-10 (Bubbles in the Air [5])
by jakovll＠libero.it 04 Feb '10

04 Feb '10

is this group on facebook as well? I will check later on, got no time now. Thanks for posting images. Sincerely Jacopo Longo, Roma >----Messaggio originale---- >Da: jamth(a)mindspring.com >Data: 04/02/2010 15.02 >A: <fractint(a)mailman.xmission.com> >Ogg: [Fractint] FOTD 04-02-10 (Bubbles in the Air [5]) > > >FOTD -- February 04, 2010 (Rating 5) > >Fractal visionaries and enthusiasts: > >NEW FORMULA VERSION ALERT! > >Today's formula is the final version of the DivideBrot series. >The only change is that the variable escape radius now works. > (...) >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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FOTD 03-02-10 (The Square Squared [5])
by Jim Muth 03 Feb '10

03 Feb '10

FOTD -- February 03, 2010 (5) Fractal visionaries and enthusiasts: A continuing rush here at FC on Tuesday left little time for a fractal search. Luckily, the Mandelbrot set came to the rescue with an unexpected scene rather deep in Seahorse Valley. The name "The Square Squared" refers to the obvious square shape surrounding the unresolved minibrot at the center, and also to the fact that the whole thing was created when Z was squared. The rating of a generic 5 was held down because the Mandelbrot set has been explored so many times, and is so familiar. The good side of all this is that the image calculates in a blazingly fast 9 seconds, at least on my machine. The image may also be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a temperature of 34F +1C kept a chill over Fractal Central on Tuesday. The fractal cats, unconcerned as always about outside conditions, passed the day by the heat. My day was once again quite busy. The next FOTD will be posted in 24 hours. Until then, take care, and be careful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Square_Squared { ; time=0:00:09.48-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.7418546457524\ 968/+0.1437485167972462/1.187e+013/1/-52/0 float=y params=0/0 maxiter=6500 bailout=9 logmap=1580 periodicity=9 mathtolerance=0.05/1 colors=000hendbi`_eXYaUVYQSTMQPINLFKHBIC7F83C40A05\ 93A95F97K99P8CU8EZ8Gb8IcBJdDKeFLeHLfJMgLNgNOhPOiRP\ iTQjLRkNRkPSlRTmTUmVUmWXmXZmYZmZ_m_am_bm`emafmbimc\ kmdomdrmcqmcpmcpmcojcnhcmfckdcibch_bfYadW_cUYaSX`Q\ YZOZYM_WL_VJ`THaSFbQEbPCbNAbMAbL9aLC_JFXIIVGKRFNPE\ QNCSLBVIAYG8`D7b96c64c33c02c17c2Cc3Hc4Lc5Qd6Vc7_c8\ cc9hcAmdBrdBveArfAogAkg9hf9ee9ad8Zc8Va8S_7PY7LW7IU\ 5HU7FU9DUBBUD9LF73C7DH6NM6WR5eW5n`5oWDoRLoMToH`oCh\ o7pnBmnFknJinNgmQdmUbmY`maZldWlhUllSlpQkxLlsOloRlk\ TlgWlcZrZ`vmdzmzzmzzmzzmzmDrhCr`BzXmzTmzQmzMmzImzE\ mzA3c62Z31U53P74K95FB6AD7AE9AGAAIBAKCAMDFKFHKEJKDK\ LCLMBMNANO9OP8PQ7QR6RS5SU4TW5NY6Ie7Ck77oB6lF6hJ5hM\ 5bO4bH4cL4mW3ze3zm2vl6roAmpFmpKmqPhqUjrZcrchrhmsmr\ srvtvzwzzzzvzzszzozzlzzizzevzawzZvzWuzTtzQszNrzJqz\ KpzLozMnzNmzNmzOmzPmzQmzQmzVwzZwzcwzgwz_wzTwzXmz`m\ zdmzhmzlmzpmztmzxmzwmzvmz } END PARAMETER FILE=========================================

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FOTD 02-02-10 (Real or Imaginary [5])
by Jim Muth 02 Feb '10

02 Feb '10

FOTD -- February 02, 2010 (Rating 5) Fractal visionaries and enthusiasts: Due to a busy day and my continuing depressed spirits, today's discussion is brief. The image is an almost-Julia set of the East Valley of the Z^3+C Mandeloid. Actually, the scene is double-rotated a mere 0.00025 and 0.00025 degrees from the true Julia orientation. Most of the action was achieved by rendering the image with the outside set to 'imag'. This also explains the name "Real or Imaginary", which, if taken as a question, can be answered 'imaginary'. The calculation time of 3 minutes is many times the incredibly brief time of yesterday's image, but still well within reason. An equally reasonably way to enjoy the image is to surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image and near instant enjoyment awaits. I'm not sure why I've been so down the past few days. It seems to be something about the world situation, and life in general, but I just can't put my finger on it. FL says I'm too wrapped up in politics. This may be so, but with things going as they are and doomsday shows filling the TV channels, I don't need politics to bring on the blues. The partly cloudy skies and temperature of 34F +1C here at Fractal Central on Monday were a notable improvement over the weather of the day before. The fractal cats appreciated the improvement but still preferred the heat. My day was unexpec- tedly busy, and my less-than-high spirits drained most of my enthusiasm for work as well as fractals. But despite all, a fractal did appear, and the next FOTD will still be posted in 24 hours. Until then, take care, and be of stout temperament but lean heart. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Real_or_Imaginary { ; time=0:03:02.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0.00542724/\ 0.0429859/0.68/1/45/0 params=89.99975/0/89.99975/\ 45/0.385/0/0/0/3/0 float=y maxiter=32000 inside=0 outside=imag periodicity=9 colors=000Y1QY0VX0`T5`PGfLQlH`tDiy7nzDemDY_ERUHNLL\ KDPH3TE0VC0X70YA0Y90H71C6365613902C00E01E92DI3DS5C\ c6AKGILSOMdTPq`IteCxl5zr0zy0zzS2hS9fSHeQOcQXaQd`Pk\ YPtXOzTMlZKo`HqaEtcCud7xeHoaKjZOdXQZTVTQPTVOMXMGZL\ A`K3cI0dG0fH5YD6S99M5AH1DC3IM2QT0Z`0ff0on0xu0zz0tj\ 0xd1zZ3zT6zOCxXKoZSfa`YehPhqHky9nz0ry2lo6eeA`XETc7\ XZ5QX2LS0HP0CL06H01L5EGDHCML6VO2cQ0lV0uY0za0kd0ak0\ Qk0Ek02jcHtZKtVMrQPqMSoIVoEYnA`l6ckAahE`eKZcOXZTVX\ YTTcSQfPMlOKqMH3tw7ruArrEqqHqnLolOnjQnhVleYldakadj\ `hjYkhXofTlaXhXZdQaaLdYGfTAjQ5lM0oI0rE0wG0wI0uK1tM\ 6tOArQEqTKoVOoYSnZXlaalcekejjhohL`K0L00O00S00V00Z1\ 0a20e30j50l60q70t90xA0zC0zG0zK0zP0zT0zZ1zc2zh3zl5z\ r005105205503623952A72DA1ED1HG0II0LL0MP0OS0QV0SY0V\ `0Xc0Ze0`h0ck0dn0fq0ht0kx0kx0kx0ky0ly1ly3lz6lz9nzD\ nyInuOnrTnnZnkdnfjndoo`wnXllSakOSjKHhG6dE7ZD9TCAOI\ 9DPA2VC0aD`MAyK9`HEZCIZ6M } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 01-02-10 (Mandelbrot Mayhem [No Rating])
by Jim Muth 31 Jan '10

31 Jan '10

FOTD -- February 01, 2010 (No Rating) Fractal visionaries and enthusiasts: For some strange reason, I felt quite depressed most all day Sunday. Nothing out of the ordinary went wrong; it seemed to be something connected with overall cultural decline. (Real or imaginary makes no difference.) But even the usually dependable fractals failed to bring cheer. I did manage to find an every- day scene moderately deep in Seahorse Valley of the dependable Mandelbrot set, which appears as today's non-rated image. The name "Mandelbrot Mayhem" is something that came to mind effortlessly. There is really no reason for such a name. The calculation time of 1-1/3 seconds is probably an overesti- mate. On my machine the image finishes before the monitor can switch to super-vga mode. To see the image, run the included parameter file or visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The image may be viewed equally effortlessly at both places. The total sun here at Fractal Central on Sunday was mitigated by a temperature of only 28F -2C, which was much milder than yesterday's 14F -10C, brisk winds and lack of sun, but still much too chilly to enjoy the outdoors. The fractal cats ignored the weather and sought the heat. I also think today is the 20th birthday of the only remaining original fractal cat, Thomas, who still thrives with my sister back at Old Fractal Central. If all goes well, and I see no reason why it should not, the next FOTD, which will not be just another scene in the Mandel- brot set, will be posted in 24 hours. Until then, take care and cheer up. Time never stands still. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Mayhem { ; time=0:00:01.33-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.75877366997/\ +0.077305412302/239894/1/70/0 params=0/0 float=y maxiter=2750 inside=0 logmap=154 periodicity=6 colors=000gNVgNUhOThPSiQRiQQjPPjOOjMNkKJjGFhABc58Z\ 77U96NB6GD5IF5HH44J48L7CN9FPBJRDNTGQVIUXKXZM``PdbR\ gdTkfVohYrj_vlaymcxi_weXwbUvZRuWOuSLtOHsLEsHBrE8qA\ 5q72q94qB5qD7qF8qHAqJBqLDqNEqPGpQHnQIkQMhQPdPT`OUX\ MUTLUOKUKJUGHUCGU8FU4EU9DUECUJBUOAURAUQAUPAUPAUOAU\ OAUNAUNAUMAUMAULAULAUKAUJAUJAUIATIARHAPHANGALGAJF9\ HF8FH9EJADKBDMBCNCBPDBQEASE9TF9VG8XH7YH7_I6`J5bK5c\ K4eL3fM3hN2iN24RTJYOXcJjiFghEegDbfC`eBYdAWd9Tc8Rb7\ Oa6M`5J_4H_4TWBdTHoQNnROmSOlTOkUOjVOjWOiXOhYOgZOf_\ Oe`OeaOeaNfaNgaMhbMhbMibLjbLjbLi`Mi_MiZMhYMdEPhWMh\ VMgUMgTMgSMfQMfPMfOMeNMeMMeKMdJMdIMzHMzGMzEMzDMzCM\ zBMzfHzdIzbIz`IzZJzXJzVJzTKzRKzPKzUKzZLzcLzhLzmMzr\ MzvMlzykzujzrizohzlhzigzffzcez`zzYzzVzzSzzPzzjzzYz\ z2zz5zz7zzAzzCzzFzzHzzKzzqzznozlnzjmzhlzfkzdjzbiz_\ hzYgzWfzUezSdzQczOGzpIznJzlLzjMzhNzfPzeQzcRzaTz_Uz\ YVzWXzVYzTZzR`zPazNXz6Yz8 } END PARAMETER FILE=========================================

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FOTD 31-01-10 (A Three-Way Split [6.5])
by Jim Muth 30 Jan '10

30 Jan '10

FOTD -- January 31, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: The parent of today's image is a near-Mandelbrot set, rotated 180 degrees, with a broad wedge where the point of East Valley should be, and an unexpected bud centered on the X-axis, at the center of this wedge. Today's image shows a cubic minibrot in the north branch of the seahorse-type valley leading to this bud. At this point words become useless, so I recommend running the included parameter file and enjoying the result. The rating of a 6 would have been higher if cubic minibrots were not so common. But I did allow myself a gift of 1/2 point for the extra time I devoted to the coloring. The name "A Three-Way Split" has something to do with the cubic nature of the image. The calculation time of an impressively brief 44 seconds will seem even faster when the finished product comes into view. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> always passes in a flash. Those who do not relish calculating parameter files or have over-qualified computing machines may view the finished image there. Lots of clouds and a bone-chilling temperature of 14F -10C here at Fractal Central on Saturday kept the fractal cats near the heat. The weather could have been worse however. In the evening I got a call from my sister back at Old Fractal Central, telling me that a couple inches of snow are on the ground down there in glorious Northeast Baltimore. The fractal cats dislike snow even more than cold. Otherwise, my day, and FL's day as well, was without incident. There is a 95-percent chance the next FOTD will be posted in 24 hours. Until then, take care, and get in there with the big- time thinkers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Three-Way_Split { ; time=0:00:44.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot2 function=recip center-mag=-0.152849815603991/+0.003780648289346/\ 2646816/1/-76.5/0 params=3/5 float=y maxiter=1800 inside=0 logmap=103 symmetry=none periodicity=6 colors=000MCmOCjQCgSCdUCbWD`YEZ_FXaFVcFUeGTgISiJRk\ LQkMPmOOnQNoRMpTLqULpXOp_QobSoeUnhWnkYmn_mqaltclwe\ kucjsbiqaio`hl_gjYghXffWecVeaUd_ScYRcVQbTPaROaPN`Q\ M_QLZQKYQJXQIWRHVRGURFTRESREUPOVOXXMfYLoVKiTKcRJYP\ JSNJNOpwOhwOcvP_uPXtOUsNRrUMqVMpWJoYHn_FmaDlcBke8j\ g8ji8jk7jm7jo7jp7jxALs8Jn7Ij6He5Ga4FjOVrgjzzzeNecO\ haOk_PnYPqWQtVQvZVpaZjebdhfZljTonNgfJ`ZGUSDMKAFC78\ 5482v41TF8oB6b74Q32DWrgSkaOdXKYRGRMCKG8DB4653pC2b9\ 1Q60D31n50f40_30T20L20E1070iv8bm6We5QX4JP3DG2681iW\ ybRpWMgQIZJDQD9H648noDPQ6nhxYUcHFKGKzmrnX_YGIHQgiJ\ XYDMN6BBJgOFZJBQE7H9384`wcVnYQeSLYMmcHmcBmc5mcJmcF\ zcCzc9zc6zc3zcqzcDzc9zc6zc3zc1zc0zm_zmOzmCzmPzmLzm\ HzmEzmAzm7zm3zmDzmBzm9zm8zm6zm4zz3zz1zzjzzbzzVzzNz\ zFzz7zzTzzPzzLzzIzzEzzAzz7zz3PzgKzZFzQAzH5z8KzrGzg\ CzX8zM4zBVzpQzhMz`HzUDzM8zF4z79z`7zW6zR5zN4zI3zD2z\ 91z4mzTfzP`zLVzIPzEXzLVzK } frm:AllNewDivideBrot2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 30-01-10 (Roaring Apparition [5])
by Jim Muth 29 Jan '10

29 Jan '10

FOTD -- January 30, 2010 (Rating 5) Fractal visionaries and enthusiasts: The Mandelbrot set is universal. It has a habit of appearing where least expected. Today's formula might not be the least likely place to find an M-set, but the scene I found when I applied the bof60 inside fill to an otherwise blank screen is certainly a surprise. I named the image "Roaring Apparition", a name that has little to do with the image on the screen. The rating of a 5 indicates that, in my opinion, the colors could use more work. The calculation time of only 53 seconds means that no time will have been wasted if the image proves disappointing. Viewing the already-calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is another way to avoid a fractal let-down. The news item that caught my attention today is the probable abandonment of the program to send men back to the moon and then to Mars. (I thought it had already been abandoned.) Too bad all you disappointed trekkies! Line up beside the disappointed enthusiastic young voters. When men first landed on the moon in 1969, who would have guessed that in the year 2010, 41 years in the future, we would still be waiting for the next manned deep- space program. So break out the booze and computer games. It was all a wish- fulfillment fantasy. The reality is that the earth lacks the resources to send men into deep space, which means that this planet, doomed or not, is the only home we will ever have. With brisk winds and a temperature of 19F -7C, the outdoor conditions on Friday were far too severe for any self- respecting house cat to even think of going outside. The fractal cats, Nicholas and Cassie, certainly self-respecting, cats, had no thoughts of the outdoor world. They spent a second day by the heat, thinking warm cat-thoughts. My day was as good as could be expected. Hopefully, tomorrow will be the same. The next FOTD is due in 24 hours, but tomorrow is Saturday, the day when the antiquing bug often bites FL, so I'm making no promises. Until whenever, take care, and see you in inner space. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Roaring_Apparition { ; time=0:00:52.91-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot2 function=recip passes=1 center-mag=0.592107/0/0.4347915/1/180 params=-2/100 float=y maxiter=256 inside=bof60 logmap=yes symmetry=xaxis periodicity=6 colors=000zzzvvmrrcmmUcjRUgRKdQBaQBZQCYPCXPCWOCVOC\ UODSNDQNDOMDMMELMEKLEJLEIKFHKFGKFFMFEODEPFDQGDRHDS\ IDTJDUKDULDUNCUOCVPCWQCXRCYSCZTC_UC`WBaXBbYBcZBc_B\ c`BcaBcbBcaAcaAc`9c`9c_9c_8c_8cZ8cZ7cY7cY6cX6cX6cX\ 5cW5cW5cV4cV4cX3cV4cU5cT5cS6cQ6cP7cO7cN8cM8cK9cJ9c\ IAcHBcGBcECcDCcCDcBDcAEc8Ec7Fc6Fh5Gm1Fr4Gv6Gz9KzBP\ wDPsGPoIPmKPmNPmPPmRPmUPmWOmZNm`NmbNmeNmgNmiOmlNmn\ MmpNmsNmuNhwNhvMfuMctMcsMcrMcqMcpMcoMcnMcmMclMckMc\ jMciMchMchMcgMcfMceMcdMccMcbMcaMc`Mc_LcZLcYKcXJcWI\ cVHcUGcUFcTEcSDcRDcQCcPCcOCcNBcMBcLBcKAcJAcIAcHAcG\ AcFAcFAcGAcHAcIAcIAcJAcKAcKAcLAcMAcMBcNCcODcPEcPFc\ QGcRHcRIeSJgTKhTKjUKlVKnWKpVKoVKnVKmUKlUKkUKjUKiTK\ hTKgTLfTLeSMeSMdSNcSNbROaRP`RP_RQZQQYQRXQRWQSVPSVP\ TUPTTPUSOUROVQOVPOWONXNNXMNYLNYKMZKMZJM_IM_HL`GL`F\ LaELaDKbCKbBKcAKcAMaBO`BP_BRYBSXBUWBVVBXTBYSB_RC`Q\ CbOCcNCeMCfLChJC9eU9dU9cT } frm:AllNewDivideBrot2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 29-01-10 (Deep into Nothing [6.5])
by Jim Muth 28 Jan '10

28 Jan '10

FOTD -- January 29, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image is somewhat of a letdown, which is why I could rate it no higher than a 6.5. The parent fractal is a Mandelbrot rotated 180 degrees, with trouble along both the positive and negative parts of the X-axis. Today's image is located rather deep in the northern branch of the Seahorse Valley of this parent. The name "Deep into Nothing" came about when I was studying the image and remembered that fractals are made of numbers and numbers are non-material abstractions, which means that, in a strange way, fractals are actually made of nothing. The cauculation time of 13 minutes is slower than most, but the delay may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It felt very cold here at Fractal Central on Thursday. The temperature of freezing was not all that cold, but wind gusts to 50mph, 80kph made it feel more like 23F -5C. And if this were not enough, the occasional flurries of snow would have satisfied the most ardent cold-weather fan. The fractal cats, most certainly not fans of cold weather, spent the day by the heat. My day was spent in front of the computer, which I guess is as good a way as any to celebrate a day. The next FOTD is due to be posted in 24 hours. Until then, take care, and look half alive. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_into_Nothing { ; time=0:13:22.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot2 function=recip center-mag=+1.204485174770919/+0.03553484670964873\ /2.536945e+009/1/62.5/0 params=1.5/2 float=y maxiter=12000 inside=0 periodicity=6 colors=000pgBrfCqhGqiKqkOqlSqnWqoZpqbprfptjpunpwrp\ xuZ__HBESN`aYzbZzcZzdZzeZzf_zg_zh_zi_zi`zj`zk`zl`z\ maznazoazpazpazkbzgczccz_dzWdzRezNezJfvFfrBgm7gh6h\ g6ih6ji5kj5kk5ll5ml4nm4nn4oocbObdJcePdeUefZefcfgig\ gnhhshhxcdu_asWZqRWnNTlJQjHSkGUlFWlEYmD_mCanBcnAdo\ 8fp7hp6jq5lq4nr3pr2rs1ss4oq6lo8imAflCcjE`hGYgFZhF_\ hE`hE`hDahDbhCchCch7d`2eU4cY6aa8`eAZcC_bE`aF``H__J\ ZZLXYMWXOUVQTUSRTTQSVORXNQZLP_KO`MPaOQaQRbSSbUTcWU\ cYVd_WdaXecYeeYbfV_gSYgPVhMShJQiGNiDKjAIj7Hg8Ge8Fc\ 9Fa9E_9DXACVACTABRBAPBANBBODCOECOFDPGDPIEPJEQKFQLF\ QMFSUFTaFUiFVqFWyHSqJPiKLbMIVOENPBGREJSHLUKOVNQXQT\ YTV_WY`Z_babcddzhfzlazpYzsUzwQzzMzzLzzKzzJzzIzzHyv\ GwrFumEshDqcCoZBmWAkT9iQ8gO8eMBcKDaIF_GIYEKWDMZFL`\ GKbIKdJJgKIiMIkNHmOGoQGrRFtSEvUExVDzWDwYDuZDs_Dp`D\ naDlbDicDgdDefDbgD`hDZiDWjDUkDSlDQmDRn9Ro6Sp3Sq0Vp\ 2Xo3_n4am5dl6fk7ij8ki9nhA } frm:AllNewDivideBrot2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 28-01-10 (Active Lima Beings [8.5])
by Jim Muth 27 Jan '10

27 Jan '10

FOTD -- January 28, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: In yesterday's discussion I said that the "AllNewDivideBrot2" formula has only one change -- the change of a plus sign in the iterated expression to a minus sign. Actually there is another small change. I changed the Z^2 to z*z. The z*z images are identical and z*z runs a tiny bit faster on my machine I have no idea why I named today's image "Active Lima Beings". I guess it's partly because of the brilliant blue, lima-bean shaped patches scattered around the scene. The parent fractal is in the shape of an oversized Mandelbrot set rotated 180 degrees, with a grossly enlarged period-2 main bud and much extra detail in the vicinity of East (or in this case, West) Valley. Today's image is located in this extra detail. In my opinion, the image rates an 8 and the coloring adds an extra half-point for a total rating of 8-1/2. The calculation time of 4-1/2 minutes is slower than ideal, but still within reason. Perhaps the most reasonable way to see the finished image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. While we were watching the news at lunch today, FL asked one of those questions that gets my philosophical energies active. In all honesty she asked me what's the real difference between a 'liberal' and a 'conservative'. At the time I whimsically said we might find out during superpresident's big speech later this evening, but right now, almost 12 hours later and after the big speech, I am still trying to think of a simple reply to such an apparently simple question that would satisfy everyone. Lots of clouds, a temperature of 30F -1C and occasional flurries of snow made Wednesday an uncomfortable day to be outside here at Fractal Central. The fractal cats, who rarely venture outside, spent the day in cozy indoor comfort next to the large warm radiator in the hallway. The only interruption was when FL stepped on Cassie's tail just after lunch, but a quick treat of tuna made the hurt go away. My day was average. The next FOTD, politics free, will be posted in 24 hours. Until then, take care, and be liberally conservative. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Active_Lima_Beings { ; time=0:04:31.65-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot2 function=recip center-mag=-0.997560494837219/-0.111301117906617/\ 1.137571e+007/1/31.25/0 params=1/1.01 float=y maxiter=2800 inside=0 logmap=700 periodicity=6 colors=000uzzAQmFPeJPYNOQSOIWNA_N3bS4dX5ga5if6kj6o\ `ArRDuHGx7JpDMiIObOQWTSPYUNWTMUSLSRKQQJOPIMOGBCF01\ K16O2BT3FX4Ka5Pe6Tj7Yn7akOehdhfukDKSKRTQYTWdUbkUhr\ VbgVhoMnvDinLdfT_Z_VRgRKnIFq9At16wAFqJNkRVe_b_gjUp\ rOxzIvwFttCrq9qn7poIopToqcnrnnrygmv`isUdpN`nPVoQPo\ SJpTDpU7pQDqNIqJNqGSqCXq9aqCepFhpIlpKopUZlcIim1fj6\ igAkdFmbJo_NqXSsUWuS_wTXtUUqVSnWPkXMhYKeZHc_F``CYa\ 9Vb7Sc4Pc2N8oABlEDiIGgMIdQLaUN_YQXaSUeUSiGdjqqz8ri\ EzzKseQtcZuaat`bs_crZdqDcmEcjFcgGbdHb`IbYJaVKaSLaO\ M`LN`IO`FP`CQbGSdJUfMVhPXjSZlV_mYaoacqddsgfujhwmiy\ pkzslyomxlmwimvfmucmt`msYmrVmqSmpPmoMmnKmlKciKmUER\ dKhgKoiKbkKrmKtoKvqKwrKysKzrKwrKtrPrzQoqRmzSjqThzU\ eqVbzW`pXYzYWpZTz_Rq`UzaWrbZzc`scczczschzdjtezzfou\ gzzitokkzmzcozzqLTszzuWXwzzzUzzLzzCzz3zz3izzzz3dzz\ zz4Gzz4z55zz6zA7zz8zF9zzAzKBzNCzPDzSEzUFzXGzZHzaIz\ cJzfKzhLziJzjHzkFzkDzlBzm } frm:AllNewDivideBrot2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 27-01-10 (What is This Thing [8.5])
by Jim Muth 26 Jan '10

26 Jan '10

FOTD -- January 27, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's formula, the AllNewDivideBrot2, is a variation of the AllNewDivideBrot formula. The only change is a sign change in the iterated-expression line. As today's image shows however, a simple sign change can make a world of difference. The parent fractal is a Mandelbrot set rotated 180 degrees, so that its main spike points east and its East Valley has become a West Valley. If this were all there is to it, there would be nothing unusual, but a closer examination reveals subtle changes, especially in the West Valley area, where the sharp terminating point has broadened into a wedge. Today's scene is located on the southern edge of this wedge. (Strange things are also happening along the negative, in this case the positive, spike, but that's a story for another day.) With its herringbone patterns, the image is unusual enough to rate an 8, and the coloring is just strong enough to merit an extra half-point. Adding these together, the rating is an 8-1/2. The name "What is This Thing" is an easily answered question. This thing is a fractal, though I leave it to the more philosoph- ically minded to decide what a fractal is. The calculation wait of 4-4/5 minutes will pass quickly enough once the image starts to appear. The trip to the FTOD web site will be even faster. The web site may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, brisk winds, and a temperature of 36F +2C made the outdoors less than comfortable on Tuesday. The fractal cats spent the day ignoring the outdoors and keeping warm by the heat. My day was uneventful. The next FOTD fractal image will be posted in 24 hours. Until then, take care, do the things that are necessary and ignore the rest. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= What_is_This_Thing { ; time=0:04:49.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot2 function=recip passes=1 center-mag=-0.2532112922284393/-0.0014744\ 9096068753/2e+009/1/-127.5/0 params=2.5/300 float=y maxiter=4200 inside=0 logmap=275 periodicity=6 colors=000jsBkoClkDmgDndEo`FpXFqTGqQGGdE8P70A16G4B\ L7GQALWDQ`GVeJ_kMdpPiuSWcLINE468859C59G59K59O5AS5A\ W5A_4Ac4Ag4Bk4Bo4Bs4Bw4Bt9EqDGnHIkLKhQNeWPb`R_dTXh\ WUmZRpaOsdLvgMwiMwjMwjNwiNwhNxgRxfUxeZxdcxdhydmydr\ ydvydzzdzzdvwarr_mnXhjVcfTZcQ__O`XMZUNYSNWQNVONTMN\ SKNPHNNDNK9NJ6NJ5NMCLOIJQOHRUGTZEUcCWhBXm9Zr7_w6Vt\ 6Qq7Kn7Fk8Ah8EiAIjBLkCPkDTlEWmF_mGbnHfoIjoJmpKqqLt\ qMooOjmQelS`jUWhWRgXMeZHc`Cbb7`d3_e7ZdBZcEZbIZaKZ`\ MZ`PZ_TYZWYY_YXcYWfYVjYUclwejsfhpggmheiicfjbck`_lZ\ XPjBShEVgGYeI`dKbbMeaOh_QkZSzDvwIptMjrQdoUZAmsFkoK\ ilPgiUefZcbca_h_X2w1Ep9QjGacN46uKGkZPbgMkhOhiPfjRd\ jSbkU_lVYmXWW8wYBtZDr`FoaHmcJjdLhfOzgQziSzjUzlWzgS\ zhTziUziUzjVzkWzkWzlXzmYzf7zZ9zW9zU9zT9zT9zT9zS9zS\ 9zS9zIUz9mzFmzKmzPmzVmz_mzdmziKzdKz_KzVKzQFzL7zR8z\ W8z`8zf8zk8zp8zu8ztDzsHzsLzrznqznqznpznoznoznmzjkz\ fizcgz_ezXzzzpzhrzftzduzb } frm:AllNewDivideBrot2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 26-01-10 (Stripes in the Night [7])
by Jim Muth 25 Jan '10

25 Jan '10

FOTD -- January 26, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's discussion will be quite brief, but this does not mean the image is lacking in quality. The discussion is short because we were quite busy here at FC on Monday, bailing out and mopping up the flooded basement. The image consists mainly of stripes surrounded by darkness. I named it "Stripes in the Night". The parent fractal is a hugely bloated thing inside an even larger empty circle. It is beyond simple description but still worth a quick look. Today's scene is located on the northern branch of a kind of main stem that has completely split apart. The rating of a 7 is about FOTD average. The calculation time of 13 seconds is decidedly faster than average. And best of all, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Torrential rain overnight Sunday left the basement here at New Fractal Central awash Monday morning. A flooded basement was not all that unusual back at Old FC, but it is only the second time it has happened in the 4 years we have been at New FC. The fractal cats took one look at the 2 inches (5cm) of water and decided not to get their feet wet. The rain ended by noon, leading to a partly cloudy and unusually warm afternoon, with a temperature of 59F 15C. The much advertised high winds failed to materialize however. Once I settled down after seeing the basement, the rest of the day went smoothly enough. Luckily, the graphics work was light. The next FOTD will be posted in 24 hours. Until then, take care, and what's the next goal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= StripesInTheNight { ; time=0:00:13.48-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=-28.11811392056752/+2.520342892822855/\ 2.436597e+007/1/175/0 params=-1.5/600000 float=y maxiter=1500 inside=0 logmap=37 periodicity=6 colors=000000000000000000000IPmzZS9AN4HI0FD9PMIZVz\ zmzzXnYRzULvZNscOzgPllRiqSfuThrUipVkmWlkXnhYofYknU\ gvQjmMmeJoXGrPCuG9w86p9Dj9Jc9PY9VRAaLAgEAm8AsELhKV\ ZQeOVoEWUaW9x_8rc7lg6gj5an4Wr3Rv2Ly2Gr4Jl6Mf7P_9SU\ AVOCYID`OCaTBaYBbcAbh9cm9cjAWhBOfCGdD8`EBYFEVGGRGJ\ OHLLIOIIQZMenPtjQogQkcQg`QcYRZURVRRRORNLSSITXFTaDU\ eAVj7Vo4Wt2WxCUwMTvVRudQtnOswNrjXqYfpMpoScdXRVaEKf\ 1AeBKdLTcUaeX_gZYiaWjcVgf`ehfcklamrdgpfboiYmkTlnOj\ pJikOdfS_aXVY`RTdMOiHJmCFq8DnCClGBjJAhN8eR7cU6aY5_\ `EVdMRgUNjbImjEprAsz6vi4lU2cT4_S6XY9_bBbhDemFhrHjp\ JeoKanMYmNUlOQkQMjRIiSEhVFhYFh`FgcFgfFghFUlPRlVOl_\ LleIljNnfSpbXrZatVfvRkxOlxOlxPlxPmxQmxQmxRnyRnySoy\ SoyToyTpyUpyUpyUoxTeaCoxToxTowTowSowSovSnvSnvRnuRn\ uRnuRnuRntQmtQmtQmsQmsPmsPmrPmrPlrOlqOlqOlqOlqOlpN\ lpNkpNkoNkoMkoMknMknMknLjmLjmLjmLjmLjlKjlKjlKikKik\ JikJijJijJijIiiIn8EkCKhGQ } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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Re: [Fractint] Candied Valentine
by JackOfTradeZ＠comcast.net 25 Jan '10

25 Jan '10

. Candied Valentine When I try to render it all I get is a blank pink screne. Is there an error in the code? .

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FOTD 25-01-10 (Iterated by the Numbers [6])
by Jim Muth 24 Jan '10

24 Jan '10

FOTD -- January 25, 2010 (Rating 6) Fractal visionaries and enthusiasts: Since there was no FOTD for January 24, it is obvious that an antiquing trip did take place on Saturday. We ended up in State College, close to the dead center of Pennsylvania, 80 miles 130km west of FC. By the time we returned, the fractal cats were irate and it was too late for a proper FOTD. Today's effort shows a scene in a parent fractal that consists of an everyday Mandelbrot set inside a Z^(-7) Mandeloid that lies within a hole in a Z^(-3) Mandeloid that lies at the center of a circular bay. The exact location is in the center of the valley of the Z^(-7) Mandeloid that lies on the negative X-axis. I named the image "Iterate by the Numbers" because the image, with its large areas of flat color, reminds me of one of those old 'paint-by-numbers' paintings that we now see discarded in so many antique shops. The scene surely has more in it than I managed to bring out in this particular image, with the short time I had to work on it. As a result, I could rate it no higher than a 6. Perhaps the best feature is the calculation time, which at 1-3/4 minutes will hold the anxiety while waiting to a minimum. Of course, all anxiety may be eliminated by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather on Saturday was perfect -- total sun and a tempera- ture of 41F +5C. The Sunday weather, with its heavy clouds, afternoon rain and temperature of 45F +7C, left something to be desired. The fractal cats agreed and spent the day in sulk mode. My day was average, with all that this implies. The next FOTD will be posted in 24 hours. Until then, take care, and shake off that let-down with a nice cozy fractal or two. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= IterateByTheNumber { ; time=0:01:46.11-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-29.50058198591536/+0.00066513778256463\ /3444216/1/-110/0 params=-3/1000000000 maxiter=3200 inside=0 logmap=230 periodicity=6 colors=000GDAGFEGGHGIL9nEDZJdrRR_MOVNLRNINOKF2JG8I\ HDHIJF2fdwlSTQ1RA0D0E00FINzz2EEDaLdWK_RKWLJST1izjb\ bXVjI9COxELe2Tv6Qm9OdDLW9sWBiUD`SFSQVg9NVH1KHZIxSJ\ kMJ_v51GoIGZLkF5cGAWHFOIKhx_`mXUcUNTRFe1YkaTcYPXVK\ QRwbglYbaTYROTdda_DIVFKQGLLINy7LiBMVFNLDXIGSNwNKiO\ IWOMdyKZoJUfHOXi1Sa6RVAQNFPLxV4t17j7AaDDSJHtqrruef\ iTVZKpNI_OWlyOYfivnzH60zE8XJPyBMjGJXK8Z8GvCGlFGbIG\ TLsMgiLb_KYQJTpw`MIzKJmIJ`TTXPQUMOSJLQX0VOARYzV1Ie\ 5J`9JXDJSiKuaJlVJdNJWzacnX_bSWRNSOBuLEiIHZz81bEDBe\ AD_EEUHFOLDTvEPjFMZdCxYEnSGeMIXcou7CJCGMQPxMTyIWzI\ TwIRtImzzMzIItIFyTDkcBZn9MbDNGMLRGOmIdXJWMD6KFBJGF\ HIK_gfQVXmQ2XMD3maBC7EGGOeCUOlqHIPbdMWZJPTCGODHOEI\ OFJOROOFD`GFXGGUGIRvheka``WXQPSTjdO`ZKSTKXAIQHt66f\ BCTFIVWpRShNPaJMVxOTaLQEhCYRdTP_PNWKLSrhmALYDKTzQk\ jNcVLWGWYLXZIQTcWOWROONOg`hUSYvK0kJ6`JCQJI4bs7YkAT\ cDOWOS_tXp_QaYS`PNURwfLbX } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 23-01-10 (Sequestered [7.5])
by Jim Muth 23 Jan '10

23 Jan '10

FOTD -- January 23, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is another fractured one that lies between unity and Z^2. The power of Z is 1.5 to be exact, and we check the Mandeloid that is created by Z^1.5 when it is calculated by the MandelbrotBC3 formula 33 levels up the logarithmic ladder when no function is applied. The parent fractal is nothing exceptional -- an everyday Mandeloid with one large bay and one distorted large bud on the south side of the bay. Today's scene is located in a spiral- shaped string of debris on the east side of the main bay. I rated the image at a 7-1/2, which includes an extra half-point for the extra 15 minutes or so I spent on the coloring. The name "Sequestered" can mean most anything the imaginative fractalist wishes. The calculation time of 1-1/3 minutes is quite speedy, and will keep the risk of fractal disappointment to a minimum. The risk may be eliminated entirely by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and checking the pre-calculated image posted there. Lots of clouds, a lack of sun and a temperature of 39F +4C left much to be desired here at Fractal Central on Friday. The fractal cats never even tried to find the sun. They spent the day in the vicinity of the heat. My day was quite average, and now that FL has recovered from the shock of seeing just so much more politics as usual, I expect we'll take an antiquing expedi- tion on Saturday. So don't be surprised if the FOTD for January 24 is late or doesn't appear at all. Until whenever, take care, and will disappointed leftists please queue up on the right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sequestered { ; time=0:01:20.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.7796928496155245/-0.559506159308004/\ 7.474797e+007/1/7.5/0 params=1.5/0/33/0 float=y maxiter=1800 inside=0 logmap=113 periodicity=6 colors=000dWxhYxk_xnaxpaxraxn`rhZmbWhXVbSTYMRTGPNA\ NI5LDBIBHEANF8TK7ZP5cU4eZBfcHhhNilTmo_rqevvkzzqvul\ rphmkdkd`j`XgXSdTOaPKZLGWHCVD8XGCYJGZMK`OOcRSeUVfX\ ZgZbhafhdjhlnhgpicrjesjctkbuk`vlZwlYxmWynUznSzoRzz\ PzzNzzMzzPzzSzzVzzXzfIzO4zR3zU2zX2zZ1za1zd0zf0ze1z\ e2ze2ze3ze3zd4zd4zd5zd6zd6zc7zc7zc8zc8zc9zc9zd8ze8\ ze7zf7zg6zg6zh5zh5zi4zj4zj3zk3zl2zl2zm1zm1zn5dn8dn\ BdnEdoHdoKdoNdoQdpUdpXdp_dpbdqedqhdqkdqndricrdbs_b\ sVatQatL`tG`rEUoCMmBFhDEdFE`HDWJDSLCONCKOCOKPSGaVC\ n`Aje8gj6dp4au2Zz1WvGOsVHoi9lx2jfKhQacMh_IoWEvVJsU\ NpTRmTVjS_gRcdQgaQi_PkeOnjNqpMtuMwzzzsWzzzzT_zzzzZ\ PzzzzBIzzzzHRzzzzM_zzzzR1zzzzGHzz4z2Bz7IzBPzGWzKbz\ PkzwmzEkzJizO8z`EzZJzYOzXUzWZzVczUSzxYzmczb8zhFzeL\ zbRz`XzYbzVez_fzYfzXgzWgzVhzUGzyQzn_zcDzFIzHNzJRzL\ WzN_zPdzRzz0qzFXzS_zTbzTezT`zhqz3oz8nzClzGkzLizPXz\ BbzKyz4vz8tzCqzFozJlzMjzQ } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

2 1

FOTD 22-01-10 (Candied Valentine [8])
by Jim Muth 21 Jan '10

21 Jan '10

FOTD -- January 22, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image rates an 8, which includes a whopping 2 points for my quasi-expert coloring. Without the colors, the image would take its place among the countless hordes of everyday routine images with a rating of about a 6. An order 2.5 minibrot lies at the center of the image, but don't even think of trying to reach it. The image as it is has a magnitude of over 2*10^13. A magnitude of around 10^16 would be necessary to resolve the minibrot, a magnitude well beyond the capability of the standard math routine. The image lies in the East Valley area of its parent. More accurately, it lies where an East Valley should be found. The parent fractal actually has a bud where the valley should be. The name "Candied Valentine" refers to the valentine-like colors and the fact that Valentine's Day is just over 3 weeks off. The calculation time of 3 minutes is brief enough to make the calculation a pleasure. The pleasure part may be avoided how- ever by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is or soon will be posted. Ample sun and a temperature of 41F +5C kept the fractal cats satisfied here at Fractal Central on Thursday, while less work than usual kept me satisfied. FL was satisfied when I turned off the politics on the 'news' channels and started watching the coverage of the heavy weather in sunny California. The next FOTD will be posted in 24 hours, if not sooner. Until then, take care, and when a fractal is said to be in critical condition, it means the fractal is in perfect health. It's too bad people are not fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Candied_Valentine { ; time=0:03:02.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.1218451743767719/+0.0186081003847881\ /2.351428e+013/1/-144.25/0 params=2.5/-2.5 passes=1 maxiter=1200 inside=bof61 logmap=-335 periodicity=6 mathtolerance=0.05/1 colors=000U4TU5TV6TV7TP8HN9KMANKBRJCUHDXFE`EFcCGfB\ Hj9Im8Jp9Kq9Mr9Ns9Ot9Qu9SvBUwDWxFYyG_zCaz9cz8ez7gz\ 7iz8kz80090I90IA0JA0JB0KB0KC0LC0LpKbzRspMjcHbYCUS7\ MM3EP2DR2DU2DW2DY2C`2Cb2Cd2Cg2Bi2Bl2Bn2Bp2As2AuNAz\ NAyN9xN9wN9vL9t99sA9rB9qC9qD9pF9oG9oH9nI9nJ9oNEpQI\ qTMrWQsZUsaYtcXtdXteWtfWtgVtiVtjUukUulTumTuoSvpSws\ RxvRyzRzwSztSzrSzpSznSzmSzmSzmSzmTxmTumTsmTrmTrmUr\ mVrmWrmWqmWpmXomXnmXmmYkmYimYgmZemZcmZam__l_Yk_Wj_\ XiZYhZZgZ_fZafYYfYTeZPdZKc_Gb`Ba`7aa2abCzzLosUeucV\ vlLxvAzi9lW7YJ6K545D5BL6HT7O`8UiA`h9Zf8Wd7Tc6Ra5O_\ 3LX4MU5OR7PO8RKATG7aC4j70sWGXtX98pbNsNNnLMhJLbHLYF\ KSDJMBIG8ahVahV`iW`jW_kXOq`BwdKhiUUncEseKmhRgjYamd\ WpkPRZzRWWRS1TU2VW4YY6_`8abAddCffEiiGicLhYQgSVgQXg\ O_fMafKdfIfeGieEkdBn_HZVNIQU1ZUAgUJpTSjZQdeNZkLTrI\ NcEHPAB95DqD8n_3kwI_kYN_mANjHMfOKbVJZaHVhGRoEUnEXm\ E_kDbjDeiDhgCkfCndBk`EhXH } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 21-01-10 (Hourglass Figure [6.5])
by Jim Muth 21 Jan '10

21 Jan '10

FOTD -- January 21, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Today's FOTD image shows a scene in the East Valley area of the nearly divided minibrot on the infinitely divided main stem of the Z^(2.003)+C Mandeloid, which is the area where the strange Julia rectangles are found. No rectangles appear in today's image however. I named the image "Hourglass Figure" for a reason that will be perfectly obvious when the image is seen in person. And with a calculation time of just under 5 minutes on a fast machine, it will not be too boring a task to calculate and see the image. The rating of a 6-1/2 includes 1/2 point for the semi-expert coloring. Otherwise, I could find nothing in the image worth more than a 6. The image may be viewed by starting the included parameter file and coming back in 5 minutes to stare in awe and wonder at the things numbers can do when they put their minds to it. Or one may visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and stare at the finished image in awe-struck amazement there. Lots of clouds, a little sun, chilly north winds and a tempera- ture of 41F +5C left the fractal cats unimpressed here at Fractal Central on Wednesday. My day began about average but turned rather satisfying during lunch when FL and I were watching the news. Out of nowhere FL remarked that she was growing disappointed with superpresident and his incredible shrinking promises. I could not resist mumbling "I told you so" just loud enough for her to 'acciden- tally' overhear. No reply was expected; no reply came. But FL was rather sulky for a while. The next FOTD, promised to meet expectations, will be posted in 24 hours. Until then, take care, and if the next FOTD fails to meet expectations, I can always blame the other party. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hourglass_Figure { ; time=0:04:58.47-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.687\ 832787113062/+0.01411013382451336/1.458611e+012/1/\ -15.75/0 params=2.003/0/0/0/0/0 float=y maxiter=5000 inside=0 mathtolerance=0.05/1 colors=000NLIPDHmRGO0FmSGzSGmTGVLGmUGYUGmVHzVHmWHc\ WHmWHfXHhXHiZIkcIlhInmIzrIzvIzzzzzzzzzzvIprJomKmhK\ lcLjcLidMgeNfeNdfOcgOahP`iQZiQYjRWkSVlSTmTSmTQnUPo\ VNpVzqWKqWzrXHsYztYEuZzuZFmXzmVLmZzm_Oz`zzbRzcTzdU\ czWrzYczZrz`czarzcczaqzbfzctzddzewzebzfuzg`zUVjcUj\ VTjeSjXRjfQjYPjhOj_NjiMj`LjkKjgJjmMlgKklJjpMnpLnzJ\ mzIlzGkzFkzEjzCizBiz9hz8gz6fz5fz3ez2dk1di4cg6ce8cc\ AcaCc_EcYHczJczLczNczPczRczTczWczYcz_czacCzcAzc8zc\ BzbEzaGzaza`z``zZ_zY_zWZWVZZUYaSXcRXfPWiOWkNVnLVqK\ UyGXvIVsJUpKSmLRjMQgNOdPNaQLZRKWSJTTHQUGOWDNVFNVGN\ VHNVIMVJMVKMVLMVMLVNLVOLVQLVRKVSKVTKVUKVVJVWJVXJVY\ JVZIV_IVaIVbIVcHVdHVeHVfHVgGVhGViGVjHUkGVkFWkEXkDY\ kCZkB_k8bm9alA`kB_jCZjDYiEYhFXhGWgHVfIUfJTeKTdLScM\ RcNQbOPaPOaMBTMBTKBTKBTMBTLASMBTNCUODUPEVPFVQEWRFW\ QGWQGVPFVOEUNEUMDULCTKCTJBSIASI9RH9RG8QF7QE6PD6PC5\ OBAc81ZB4UD7PFAMHDJJFKLIJ } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 20-01-10 (Same Old Rectangle [7.5])
by Jim Muth 19 Jan '10

19 Jan '10

FOTD -- January 20, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: While rambling around in fractal land Tuesday evening, I decided to pay a brief visit to the familiar rectangle in the Z^(2.003)+C Julibrot. I stayed there only a short time, but I did manage to find today's image, which is a slightly skewed view of the rectangle. The rating of a 7.5 notwithstanding, the name "Same Old Rectangle" describes my feelings about the image. It took a double rotation of only 1.5,1.5 degrees from the Julia orientation to wreak havoc on the once-perfect rectangle, which looks like it is being violently twisted by some invisible fractal giant. The surroundings in this fractal area have always reminded me of a fantastic rail yard. The rail-like features exist in every orientation of the Julibrot in this area. In my opinion, the coloring is worth the extra half-point I gave the image. But I still must admit that most of its worth was created by the Fractint program rather than my intervention. My main task was to solidly fill the the rectangle by rendering the scene with the inside set to bof61. The calculation time is a speedy 170 seconds, and even this brief delay may be avoided by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. A temperature of 39F +4C, a dreary low overcast and a steady light mist made Tuesday a day to be forgotten here at Fractal Central. The fractal cats seemed to agree. It took only one glance out the window to turn their thoughts to pleasures other than a sunny window shelf to lie on. My day was un-notably average. Unless climate change gets totally out of control, the next FOTD will be posted in 24 hours. Until then, take care, and why can't those selfish con- servatives see the danger the earth is in due to climate change? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Same_Old_Rectangle { ; time=0:01:10.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.0035611/\ -0.0028388/75 params=88.5/90/88.5/90/-1.7435/0/\ 0.00019/0.07388/2.003/0 float=y maxiter=1500 inside=bof61 logmap=48 periodicity=6 colors=000NAOAAOAAPAAPAAQAAQAARAARAASAASAATAATAAUA\ AUAAVAAVAAWAAWABXACXADYAEYAFZAGZAH_AIWBJXCKYDLZEM_\ FN`FPaFQaERbEScETdEVeEWfEXgEYgDZhD`iDajDbkDclDdmBf\ nDemFdlHckJbjLajN`iP_hRZgTYgVXfXWeZVd`UdbTcdSbfRah\ QajP`lO_nNZpMZrLYtKXvJWxIWtHZpH`lHbhHdeHfaHhYHjUHl\ RHnNHpJHrFHtNy1JjLFWcBFxCGwCHvCIvCJuCJtDKtDLsDMrDM\ rDNqDOqEPpEPoEQoERnESmFSmFTlFUkFVkFVjFWjGXiGYhGYhG\ ZgG_fH`fH`eHadHbdmzImzImzJmzJzmJzmJzmKzmKFqKGpLHoL\ InLInLJmMKlMLlMLkNMjNNjNOiNPhOPgOQgORfPSePSePTdPUc\ QVcQWbQWaRX`RY`RZ_RZZS_ZS`YSaXTbXTbWTcVTdUUeUUeTUf\ SVgSVhRViQViQWjPWkOWlNXlNXmMXnLXoLYpKYpJYqJZrIZsHZ\ t9YsDZsHZsLZrP_rT_rX_q``qd`tfdsgbrhzqhzpizoiznjznj\ zmkzlkzklzjlzimzimzhnzgnzfozeozdpzdpzcqzbqzarz`rz_\ sz_szZtzYtzXuzWuzVvzUxzVwzVvzWzzWzzWzzXzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzSzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 19-01-10 (Too Close for Comfort [7.5])
by Jim Muth 18 Jan '10

18 Jan '10

FOTD -- January 19, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene rather deep in East Valley of the Mandelbrot set. It's a very typical scene. The unusual effect was achieved by calculating the image with the bailout set to 1 rather than the usual 4. A a bit of extra effort on the colors also helped. The minibrot at the center is the same one that appeared at the verge of extinction in the FOTD for January 15. Today's image finds the minibrot not quite as close to vanishing, but still too close for comfort, which coincidentally is the name I gave the image. In my opinion, the most notable feature of the image is the smoothness of the colors, which makes the iteration bands almost invisible. This effect came about largely by accident, and is the reason I rated the image at a 7-1/2. The calculation time of 4 seconds is true on my on-and-off P4-2000mhz machine, which is currently in its 'on' mode. The image may also be seen by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Variable clouds and a surprisingly mild temperature of 50F 10C kept the fractal cats leaping on and off their window shelf here at Fractal Central on Monday. In my department, things were under control. FL tried again to get me to adopt a 'positive' attitude, whatever that is, but in my opinion, world events justify a 'negative' attitude far more strongly than some 'positive' talk and warm-fuzzy feelings. The next FOTD will be posted in 24 hours, and that's not just some more feel-good talk. Until then, take care, and someone must have lost their faith. On Sunday I found an old, beat-up one on the stairway to the attic. If no one claims it, I'll put it away for safe keeping. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TooCloseForComfort { ; time=0:00:04.05-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2547710270425\ 52/-0.000530957591413/3.4887e+011/1/40/0 params=0/0 float=y maxiter=6000 bailout=1 inside=0 logmap=996 colors=000KJQLJRLJSLKSLKTMKUMKVMKWMLWNLXNLYNLZNLZO\ M_OM`OMaOMaPMbPMcPNdPNeQNeQNfQNgQOhROhROiROjROkSPl\ HGEJGGLGINHKOHMQHOSHQUISVIUXIWZIY`J_aJacJceJegKghK\ ijKklKmKIJKIJqLssLuuMxHGDIGEJGGKFHLFIMFKNELOEMPEOQ\ DPSDQTDSUDTVCUWCWXCXYBYZB__B``AaaAccAddAee9gf9hg9i\ h8ji8jj8ji7jh8ic9eZA_UBUPCPKDKFEFEFCEFCDFDDFDDFDCE\ DCEDBEDBEEADEADE9DE9DE9DE8CE8CF7CF7CF6BF6BF6BF5BG5\ BG4AG4AG3AG3AG29HGGCHGDHHEIHFJHGJIHKIILJJLJKMJKNKL\ NKMOKNOLOPLPQMQQMRRMSSNSSNTTOUUOVUOWVPXVPYWPZXQ_XQ\ _YR`ZRaZRb_Sc`Sd`SeaTfaTgbUgcUhcUidVjeVkeWlfWmgWng\ XohXohXpiYqjYrjZskZtlZul_vm_wn`x000JJDLLDNKEPPERRF\ STGUVGWXHYZH_`IabJbcJdeKfgKhiPjkUmmZnocqqhssmvurxw\ wzzzGGCGHCGHCHICHICHJCIKCIKCILCJLCJMCJMDKNDKODKODL\ PDLPDLQDLQDMRDMSDMSDNTDNTENUEOUEOUEOUEPUEPUEPUEUVE\ ZWEcXEhYFmZGrcKvhOzmSzrCzvWzz_zzdzzSzzEzz0zz1zz2zz\ 3zz4zz5zz6zz7zz8zzOzzPzzP } END PARAMETER FILE=========================================

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FOTD 18-01-10 (Magnificent Seven [7])
by Jim Muth 17 Jan '10

17 Jan '10

FOTD -- January 18, 2010 (Rating 7) Fractal visionaries and enthusiasts: The two most recent FOTD images have featured multiple mini- brots. Today's image continues the same theme and increases the numner of recognizamle minibrots from two to seven. (Actu- ally, I have found fractals with far more minibrots, though I can't remember quite where.) Today's multiple minibrots are found in the negative X-axis area of the Z^(2.003)+C Mandeloid, one of the richest areas I know for minibrots. Like the seven samurai ready for battle, today's midgets are lined up, ready for whatever action may come their way. The name "Magnificent Seven" needs no explanation. Some minibrots have apparently already seen action, for they appear to have large parts already sliced off. The minibrot in the center and those in the lower left however are still in fine shape. The rating of a 7 shows what I think of the image. Those who consider a steady diet of minibrots to be boring may consider the image to be worth much less. But one thing that cannot be denied is that, if the image proves disappointing, the calcula- tion time of 21 seconds will have wasted little time. Those with absolutely no time to spare for running a parameter file may see the finished image at once on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds, fog, rain and a temperature of 36F +2C spoiled Sunday here at Fractal Central for man and cats alike. The cats spent most of the day keeping warm, while the man spent the day pondering unanswerable questions and FL spent the day wondering why the man concerns himself with silly questions that cannot be answered. And out of all this confusion a fractal developed. Even more surprising is that the next fractal is already in the works, and will be posted in 24 hours. Until then, take care, and when a question makes no sense, (such as why does a good god cause or permit so much suffering), it is often a sign that the question is based on a wrong assumption. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Magnificent_Seven { ; time=0:00:21.06-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.687674335/\ +0.01375541/1938/1/-55/0 params=2.003/0/0/0/0/0 passes=1 float=y maxiter=1200 inside=0 outside=tdis colors=000qTbMUM4_IJWKXTLjQNzKMxNOvPQtRRrTTpVVnYWl\ _Yja_hc`febdgcafe_fgYehVejTekRdmPdnMdpKcqIcsEhyGct\ H_oIWjJReS00XJWTERUAMP6HQAGQEGRIGRMGSQGSTGTXGT`GUd\ GUhGTy4UkGUYSUKcO7rU6nZ6jc5fh5cm4_r4Ww4Ts3Sp3Rl3Ri\ 3Qe2Pb2PU2OU2OU6MU9KcDIcGGcJEcNCkQAnT8pX6r_4uc1tK2\ t_2tX2tU3tR3zN3zK4zH4zE4z53zK4zm4zM4zS5mX5kb5jg5lw\ 5me5ne5ow5pd5qc5rc5tb5ua5va5w`5x`5y_5z_5xa7wc8udAt\ fBsgDqiEpjFolHmnIloKkqLirNhtOguPhqNhnMijKigJjcHj`G\ kXEkUDkQBlNAlJ8mG7mC5n94n52n21l65j99hDCfGGdKKbNN`Q\ RZUVXXYV`aTceRghPjlNmoOlnPkmPklQjkQjjRiiRihShgTgfT\ geUfdUfcVebVeaWd`Xc_Yb_ZaZ_`Y`_YaZXbYWcXWdWVeVUfUU\ gTTgST`WSU_RNbQGfP9jO2mNAjRHgVPdYWaaa`bbZdcXfdVhdU\ jeSlfQnfPpaTjYXeU_`QcWMfRIjMFlIEmHDnHCoHCpHBqHArH9\ sH9sH8tH7uH6vH6wH5xH4yH4yH5wG5uG5sF5qF5oF6mE6kE6iE\ 6gD6eD1fE6dDAbDEaDI_DMzDQXDUVDZUDbSDfRDjPDnNDrMDvK\ DzJDyLJyNPyPUyR_yTeyVjuUf } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 13-01-10 (A Golden Oldie [6])
by Jim Muth 17 Jan '10

17 Jan '10

FOTD -- January 13, 2010 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image is the same one that gave us yesterday's image. This parent consists of two somewhat distorted Mandelbrot sets, but instead of lying in the East Valley of the eastern set, today's image lies in the East Valley of the western set. Now that the location is straightened out, little remains to be said except that the image rates a 6 and I named it "A Golden Oldie" for some reason that I have since forgotten. The image is an incredibly fast one, calculating in only 25 seconds, which is likely even faster than the brief time and effort required to see the image, already calculated, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday dawned with a fresh 2cm of snow on the ground here at Fractal Central. The rest of the day was typical midwinter stuff -- partly cloudy with a temperature hovering just below freezing. The fractal cats ignored the outside conditions and spent their time keeping warm indoors. My day was average. The next FOTD -- above average to be sure -- will be posted at this same spot in 24 hours or so. Until then, take care, and see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Golden_Oldie { ; time=0:00:24.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.86630327098/0/185328 params=1/2/0.05\ /-2/0/0/0/0 float=y maxiter=850 symmetry=xaxis inside=0 logmap=34 colors=000A9KCAKEDKGFKIHKKJKMLKONKQPKSRKUTKWVKYXKm\ bKjZKgXMdUJaRGZODWKATH7QE4NB1QD3VE5ZG6cH8hJAlKBqMD\ uNEqQFmYFi`KehUakcYsmVuzWtmXrcXqUYpKZo7Zm6_l4`f2``\ 1cY2e_3ha4jc5md6of7rh8tj9vkAseEp_ImUMkOQhIUeCYb6a`\ peapccpbepagp_ipZkpYmohonmnmqmlulkukiujhuiguhfugdt\ fbqe`nc_kbZiaXf_VcZUaYSZWQWVOTUNRSLORJLQIJSHKTHLUH\ LYIIaJFdJDhKAlL7oL5lN4jP3gR3eT2bV2`X1YZ0W`0Tb0Rd0O\ f0Mh0Jj0mCRlFPjJOiNMgRLfUJeYIcaGbeFahEbeGcbId`KdYM\ eWNfTPfRRgOThMUhJWiHYjE_jC`gF_dH_aK__M_XP_UR_RU_PW\ _MZ_J`_Gc_Ee_Bh_Bj_Bl_BgZDcZGZYJVYMRYNSZOS_OT_PT`P\ T`QUaQUaQVbQVbQWcQXcQYcQZbQ_aQ``Qa_QbZQcYWcXacWgcV\ ncUtfZzkbui_qgYmfVidTebRaaOX_MTZJPXzLVzHUzDSzBRzGP\ zNOzUNz`LzgKznJztIzsJzsJzsKzrKzrLzrPzqUzqZzqczohzm\ mzkrzivzgzzezzczzazz_zzYzzWzzUz0Wz0Xz0Yz0_z1`z3az4\ bz5dz7ez8fzAhzBizDjzEkzFlzFmzGnzGozHpzHqzIqzIpzLpz\ OpzRpzTpzWpzZYzUXzVXzWTza } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 17-01-10 (Side by Side [?])
by Jim Muth 16 Jan '10

16 Jan '10

FOTD -- January 17, 2010 (Rating ?) Fractal visionaries and enthusiasts: In yesterday's FOTD we saw two minibrots lined up one behind the other. Today's image shows two minibrots standing side by side and surrounded by a rich field of smaller minibrots. Today's image is located in the infinitely-divided debris along the negative X-axis of the Z^(2.003)+C Mandeloid, which happens to be the same Mandeloid that holds the mysterious rectangle which has appeared in various disguises in quite a few FOTD images. Though the image appears fairly unbroken, it is filled with discontinuities, the most obvious of which slices off the large southern bud of the minibrot on the right. The name "Side-by-Side" does not refer to a piece of Victorian furniture. It is a description of the image itself. The rating of a question mark indicates that I was not sure the image is worth a rating at all. But the calculation time of just over one mere minute is sheer joy. It means that no one will suffer dis-satisfaction if the congregation of minibrots fails to bring instant gratification. The instant gratification will be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-calculated image is posted. The FOTD discussion for January 16 originally contained a long philosophical screed about God and disasters, but before posting it I counted to 38, decided it had nothing to do with fractals, and struck the delete key. The full discussion is filed safely away in my FOTD files however. If I find myself in a suitably negative mood sometime in the future, I'll insert it in a future FOTD. The glorious Saturday weather here at Fractal central was quite unexpected. Though clouds and a high of 41F +5C were forecast, the day turned out sunny with a high of 52F 11C. The fractal cats had no complaints about the forecasters' mistake. My day was averagely uneventful. The next FOTD, likely another display of sociable minibrots, will be posted in 24 hours. Until then, take care, and we do care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Side-by-Side { ; time=0:01:06.08-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.435\ 277045/+0.007051291/2336/1/-88.5/0 params=2.003/0/\ 0/0/0/0 float=y maxiter=1200 inside=0 logmap=40 colors=000cW6cV6cT6cS6aQ6_P6YN6WL6UK6SI6RH6SF6QD4R\ E5RE5SE6SE6SE6TE7TF7TF8UF8UF8UF9VF9VG9VGAWGAWGBXGB\ XGBXHCYHCYHCYHDZHDZHEZIE_IE_IF_IF`IG`IGaJGaJHaJHbJ\ HbJIbJIcKJcKJcKJdKKdKKX44Z88`CCbGGdKKeONgSRiVVkZZl\ banfcpccrcctccsccsccsccsccsccrccrccrccrccrccrccqcb\ qiaqh_qgYqfXpfVpeUpdSpcRpbPpaOoaMo`Lo_JoZIoYGejzgg\ ziezkbzm`zoYzv_zuZztYzsXzrWzqWzpVzpUzoTznTzmSzlRzk\ QzkPzjPziOzhNzgMzfMzfLzeKzdJzcIzbIzaHzaGz`Fz_FzZEz\ YDzXCzU2zV5zW7zW9zXCzXEzYGzZJzZLz_Nz_Pz`SzaUzaWzbZ\ zc`zcbzdezdgzeizgnzflzekzdizchzcfzbezacz`bzb`ze_zh\ ZzmXzrWzvUzzTzzRzzQzzOzzNzzLzzKzzEzzGzzHzzIzzJzzKz\ zMzzNzzOzzPzzQzzSzzTzzUzzVzzWzzXzzZzz_zz`zzazzbzzd\ zzezzfzzgzzhzzjzzkzzlzzmzznzzpzzozzozzozzozzozznzz\ nzznzznzznzzzzzzzzzzzzzOzzPzzQzzRzzSzzSzzTzzUzzVzz\ VzzWzzXzzYzzYzzZzz_zz`zzazzazzbzzczzdzzdzzezzfzzgz\ zgzzhzzizzjzzkzzkzzzzzzzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 16-01-10 (Minibrot Assembly [?])
by Jim Muth 15 Jan '10

15 Jan '10

FOTD -- January 16, 2010 (Rating ?) Fractal visionaries and enthusiasts: A few days ago on the Fractint list I saw a question about close groupings of Mandelbrot midgets. Actually, such clusters are quite common. I found today's scene within 30 seconds of starting a search. And there are far more impressive clusters of midgets not too far off, some of which will appear in the near future as FOTD's. Today's scene lies along the negative X-axis of the Z^(2.1) Mandeloid, in the debris left behind when the single main spike splits into two well-separated spikes. The two large minibrots, which are surrounded by clusters of infinitely-divided smaller minibrots, have been caught in a rather compromising position. Of course, the minibrots are not perfectly quadratic, but they are close enough to be easily recognizable. I have not yet checked the smaller clusters of midgets, but I suspect they are much the same as the one in the image. I wasted nearly 5 minutes trying to decide on a rating for the image before finally rating it at a question mark. The name "Minibrot Assembly" is a description. The calculation time of a speedy 1-1/3 minutes will cause no suffering. And as always, the finished image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds returned to FC on Friday, while the temperature hovered around 45F +7C. Early in the day, the fractal cats gave up waiting for the sun. They spent most of the time asking for the heat to be turned up. With the cost of fuel as high as it, they did not get what they wanted. My day was about average. FL was displeased with my 'negative' attitude. But negative or positive, the next FOTD will be posted in 24 hours. Until then, take care, and let me know when you find the positive answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_Assembly { ; time=0:01:21.58-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.22604913/\ -0.00671166/1135/1/100/0 params=2.1/0/0/0/0/0 float=y maxiter=15000 inside=0 logmap=31 colors=000zzzzzzvvvsssppmcqsZrsUssPtsNusNutNutMutM\ utMutMttLstLrtLqtLpuKouKnuKmuKluKkuKjuKiuKhuKgvKfv\ KevLdvMcvNcvOcvPcvQcvRcwScwTcwUcwVcwWcwXcwYcwZcw_c\ x`cxacxbcxccxdcxecxfcxgcxhcyicxjcxkcxlcxmcxmcwmcwm\ cwmcwmcwmcvmcvmcvmcvmcvmcumcumcumcumcumcumctmctmct\ mctmbtmbsmasmasmasm`sm`rm_rm_rmZrmZrmYqmYqmXqmXqmW\ qmWqmVpmVpnVpoUppUpqToqTorSosSotRouRnvQnwQnxPnyPnz\ QoyPnxPmwPlvPkuPkuOjtOisOhrOhqOgqNfpNeoNdnNdmNcmMb\ lMakMajM`iM_iLZhLYgLYfLXeLWeKVdKVcKUbKTaKSaKSbLTcL\ UdLUeLVfMWfMWgMXhMXiMYjNZkNZkN_lN_mO`nOaoOapObpObq\ PcrPdsQdtSewUgtWerYcp_ana_lcYjeWhgUfiSdkQbmO_oMYqK\ WtIUwGSzEQzCOzAMz8Kz6Iz4Fz1Gz3Gz4mz5mz7mz8mz9mzAmz\ CmzDmzEmzGmzHmzImzJmzLmzMmzNmzPozQqzRszSuzUwzVwzWw\ zXwzUwzuwzqwzmwziwzfwzbwzZwzWzzSzzOzzKzzHzzDzz9zz6\ zzDzzJzzQzzWzzbzzhzzozzuzznzzhzzbzzWzzQzzKzzDzz7zz\ 1zz2zz3zz4zz5zzzzpzzpzzpz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 16-01-10 (Minibrot Assembly [7])
by Jim Muth 15 Jan '10

15 Jan '10

FOTD -- January 16, 2010 (Rating ?) Fractal visionaries and enthusiasts: A few days ago on the Fractint list I saw a question about close groupings of Mandelbrot midgets. Actually, such clusters are quite common. I found today's scene within 30 seconds of starting a search. And there are far more impressive clusters of midgets not too far off, some of which will appear in the near future as FOTD's. Today's scene lies along the negative X-axis of the Z^(2.1) Mandeloid, in the debris left behind when the single main spike splits into two well-separated spikes. The two large minibrots, which are surrounded by clusters of infinitely-divided smaller minibrots, have been caught in a rather compromising position. Of course, the minibrots are not perfectly quadratic, but they are close enough to be easily recognizable. I have not yet checked the smaller clusters of midgets, but I suspect they are much the same as the one in the image. I wasted nearly 5 minutes trying to decide on a rating for the image before finally rating it at a question mark. The name "Minibrot Assembly" is a description. The calculation time of a speedy 1-1/3 minutes will cause no suffering. And as always, the finished image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds returned to FC on Friday, while the temperature hovered around 45F +7C. Early in the day, the fractal cats gave up waiting for the sun. They spent most of the time asking for the heat to be turned up. With the cost of fuel as high as it, they did not get what they wanted. My day was about average. FL was displeased with my 'negative' attitude. But negative or positive, the next FOTD will be posted in 24 hours. Until then, take care, and let me know when you find the positive answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_Assembly { ; time=0:01:21.58-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.22604913/\ -0.00671166/1135/1/100/0 params=2.1/0/0/0/0/0 float=y maxiter=15000 inside=0 logmap=31 colors=000zzzzzzvvvsssppmcqsZrsUssPtsNusNutNutMutM\ utMutMttLstLrtLqtLpuKouKnuKmuKluKkuKjuKiuKhuKgvKfv\ KevLdvMcvNcvOcvPcvQcvRcwScwTcwUcwVcwWcwXcwYcwZcw_c\ x`cxacxbcxccxdcxecxfcxgcxhcyicxjcxkcxlcxmcxmcwmcwm\ cwmcwmcwmcvmcvmcvmcvmcvmcumcumcumcumcumcumctmctmct\ mctmbtmbsmasmasmasm`sm`rm_rm_rmZrmZrmYqmYqmXqmXqmW\ qmWqmVpmVpnVpoUppUpqToqTorSosSotRouRnvQnwQnxPnyPnz\ QoyPnxPmwPlvPkuPkuOjtOisOhrOhqOgqNfpNeoNdnNdmNcmMb\ lMakMajM`iM_iLZhLYgLYfLXeLWeKVdKVcKUbKTaKSaKSbLTcL\ UdLUeLVfMWfMWgMXhMXiMYjNZkNZkN_lN_mO`nOaoOapObpObq\ PcrPdsQdtSewUgtWerYcp_ana_lcYjeWhgUfiSdkQbmO_oMYqK\ WtIUwGSzEQzCOzAMz8Kz6Iz4Fz1Gz3Gz4mz5mz7mz8mz9mzAmz\ CmzDmzEmzGmzHmzImzJmzLmzMmzNmzPozQqzRszSuzUwzVwzWw\ zXwzUwzuwzqwzmwziwzfwzbwzZwzWzzSzzOzzKzzHzzDzz9zz6\ zzDzzJzzQzzWzzbzzhzzozzuzznzzhzzbzzWzzQzzKzzDzz7zz\ 1zz2zz3zz4zz5zzzzpzzpzzpz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 15-01-10 (Eve of Destruction [7])
by Jim Muth 14 Jan '10

14 Jan '10

FOTD -- January 15, 2010 (Rating 7) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! I think this is the first time I have posted an image created by the Mandel-V-Esc (variable escape) formula, which is actually an old one. The name of today's image is "Eve of Destruction". This in no way implies that humanity is doomed. We have enough shows on TV already telling us that. The imminent destruction is faced by the small minibrot at the center of today's image, along with the entire scene it lies in. The image lies deep in an elephant-trunk spiral, which itself lies deep in East Valley of the very familiar Mandelbrot set. So far, so good. But the image has little resemblance to the typical minibrots in the area. The problem is that the scene is on the verge of destruction. The bailout radius has been decreased to the point where the entire scene is ready to be obliterated. The tentacles of doom are already encroaching on the helpless minibrot at the center, which will soon go to wherever minibrots go when the calculation withdraws from them. Altruistic fractalists can save the doomed minibrot and restore it to health by raising the (p3) parameter to 4, while heartless ones can hasten its demise by lowering the parameter. The fans of doom can watch the actual death scene by lowering the para- meter in tiny increments. (The end comes at 0.8986203815, but it isn't very pretty to look at.) The rating of a 7 means that at least a little reward will be gained by taking the one minute required to run the included parameter file. Despite the one-minute calculation time, the trip to: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the already-calculated image will be easier. Total sunshine and a temperature of 43F 11C made Thursday an ideal day for the fractal cats here at Fractal Central. They spent the afternoon sharing their sunny shelf in the southwest window. My day was . . . well . . . typical. The next FOTD will be posted in 24 hours. Until then, take care, and do what comes easiest. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Eve_of_Destruction { ; time=0:00:57.57-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=Mandel-V-Esc center-mag=+0.2547710270\ 4256/-0.000530957591423/1.78576e+011/1/40/0 float=y params=0/0/0/0/0.89863/0 float=y maxiter=10000 inside=0 outside=imag mathtolerance=0.05/1 colors=000WfEYiB_l8`o5fcNlSdrHumKqiMneOjaQgYSdUU`P\ WYLYUH_RDaO9cK5eH1gE4dH7aJAZLDWNGUPJRRMOTPLVSIXUGZ\ SASQCTPFVNGWMHXKPaJQbHRbFTcEUcCVdBXd9Ye8ZeBWcDUaFS\ `HQZJOXMMWOKUQITSFRUDPXBOZ9M`7Kb5Jd3Hf1Gd6JbBL`GOZ\ LQYQSWTWVWZUZaSadRdgQgjReiSdiTbiUaiV_iWZiXXiYWi_Wk\ `WlbWmcWneWofWpgWqdXoaXnZYmWYkTZjQZiN_gK_fH_eEUiBc\ j8ljBkeDjaFiYHhTJhPMgLOfGQeCSd8Ud4Sb3Ra3Q_3OY3NV3M\ T3LQ3JT2IR2HQ2FO2EN2DL2CK2EN5GQ7IT9KWBMZDOaFQdHSgK\ UjMWmOYpQ_sSavUbxWduYfsZgp_in`jlalicngdodeqbfr`gpc\ _oeTnhMmjFll8jnChpGfrJhtNmwRrzUwzczzmvxcrnUrdKrWKr\ NOrFSrITrKTrMUrPUrRVtTVvVVm_adcgWgmNksOjpPinQhlQgj\ RfhSefSddTcaUb_VaYV`WW_UXZSXYQnHQpEUrCYtA`qDbKFcRI\ eiKfgNhdPibSk_UlXWmVZoS`pQcrNesLhuIjvI4LP4PS4QV4RX\ 7TZAU`DVbGXdIYfLZhO`jRalUbmWci`hfelbjp_nt`lpajlahh\ bfdbd`cbXd`TdZPeXLeVHfTDfR9`OGWLNRIUMF`HCgCAmEDiGG\ fIJcKM`LPXNSUPVRRYOT`LUcH } frm:Mandel-V-Esc {; changeable bailout radius z=p1, c=pixel+p2: z=sqr(z)+c, |z| <= p3 } END PARAMETER FILE=========================================

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FOTD 14-01-10 (Abbreviated Midget [6])
by Jim Muth 13 Jan '10

13 Jan '10

FOTD -- January 14, 2010 (6) Fractal visionaries and enthusiasts: The parent fractal of today's image is an abbreviated Mandelbrot set. An abbreviated set is what I call one that is not all there. As a quick check of today's parent will show, the bailout radius of 2 has indeed cut off a good part of it. But all is not lost, because when a minibrot lies very near the cutoff point, as today's minibrot does, all kinds of strange and interesting things happen to it. At this point words fail, so the next step is to run the included parameter file (it runs in under 2 minutes) or view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The name "Abbreviated Midget" describes the scene, while the rating of a 6 seems fair enough. The weather was pretty settled here at Fractal central on Wednesday. The partly cloudy skies and temperature of 37F +3C were near ideal -- at least the fractal cats thought so. My day was rather busy however, though not so busy as to prevent a quick trip into the abbreviated Mandelbrot set for a short look around. FL almost got herself into heavy philosophy during lunch, when she asked why I have such a negative attitude toward the world in general. Luckily, using my maximum self-control, I did not reply. If I had replied, I would still be explaining my attitude at the same time the next day. The next FOTD will be posted in 24 hours. Until then, take care, and is an unpleasant truth better than a feel-good fantasy? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Abbreviated_Midget { ; time=0:01:43.40-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.0167696048453\ 83163/1.00547601886431996/2.609008e+013/1/-65/0 params=0/0 float=y maxiter=1500 bailout=2 inside=0 outside=tdis logmap=145 periodicity=6 colors=000000KKKCU7K_NFAKGRUNYaTciskjiPorMKlPRHKRE\ KRpJdTaQ5tB8oNAjYA2u9Cu6hK8UJ9FJF0FPPPsVVqFep0oQhb\ gNpcWH`bZijJci_rcz`Kd_mjImBRmWPmZUcg`cr_cqHgXQhffK\ oYIZbRp``pNwsQwrTwqWzzakG`jT_idW1FXDPYOYZZgrLPkUZd\ ag_52l_VedezzzYpnB2JHDSNO_TZh5wm2jJBiSJi_Rihy1ypGv\ gVsPuXSraUofXlkqzfgqkBqwNmsnu_fohXrZYfyhQ37frlJBgS\ Pb`bRaXUdcXgjh6a7HgK_VSdeKp_OndSlhWjlhHidRla`ntnEi\ kYJKdNQjbDZ`Od_ZjPzxSuvUqtXmr`qk_mny_pkdpXbDYeRZgc\ DVUJZ_ObeUfkhZpeapcdp`gpeEibrXaoa`mf_kkVJQXSZY`gjE\ afPfb_kwKEnTRfac3d3o7FjHPfRYb`g7RML`aD9yLMvSYsnWrh\ `qcep7jDEzNLiXSif`wu_ss_prZlq`mK_lTZwdSNFWZY25RJQc\ nWAfbWePcw6hjQlm6JcGSUQ_X_h70rHGqzmpzmJzmSzm_zmhzm\ QzmczmzzmvWms8m7MmUzmVLmeXmPzmZzwgzwxzwtzwlzwnzwoz\ w6lwMewa1woAwpIwpRwp`wZ_wdZwjnzzVzzXzzJzzNzzRzzVzz\ izzczzQzzJzztzzizzJzzMzzVzzezzazzkzzfzzbzzDzzJzzOz\ zUzzzzzszzlzzezzczz`zzgzz } END PARAMETER FILE=========================================

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FOTD 12-01-10 (Brad and Angelina [6])
by Jim Muth 12 Jan '10

12 Jan '10

FOTD -- January 12, 2010 (Rating 6) Fractal visionaries and enthusiasts: While waiting in line with FL at the local market this morning, a headline on one of the tabloids in a nearby rack caught my eye. It said something about Brad and Angelina. I wondered who the quarreling couple are and why so many otherwise sensible people are so concerned about what other people are doing behind their closed doors. After pondering the situation for a few minutes, I came to the conclusion that all the celebrity pseudo-excitement is nothing more than a way for us to distract ourselves from the scientifi- cally-implied hopelessness and ultimate meaninglessness of our earthly lives. And the ever increasing flood of technological gadgets is also little more than a more costly way we might forget for a brief time the future with its looming darkness. And as for fractals . . . what are they if not just another distraction? In view of this not-so-cheery situation, I decided to name today's image "Brad and Angelina". (Who cares what the quarrel- ing couple do next?) Anyway, ten years from now the name of today's FOTD will be equally meaningless. But a silly name is no reason to skip a rating, so I rated the image at a 6, which is just the slightest above FOTD average. The image lies in the East Valley area of the parent fractal that appears when 0.05*Z^(-2) is mixed with Z^2, and C is added. The pastel colors create a rather feminine effect that reminds me of the dynamic celebrity duo. The calculation time of 12 minutes will give the enthusiastic fractalist ample time to wonder why I have no intention to turn to religious 'faith'. Those who would rather not spend time wondering may take the easy way to fractal satisfaction by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday here at Fractal Central was mostly cloudy and cold, with a high temperature of exactly freezing, which left a chill in the hearts of the fractal cats, who spent most of the day seeking more warmth. Things went downhill after dark when light snow began to fall. Workwise, my day was back to normal, though the day's fractal could have been a bit better. Improvement will hopefully be achieved in the next FOTD, which will appear at this same spot in 24 hours, give or take a few. Until then, take care, and concentrate on the important things, most of which make science look like a helpless retard. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Brad_and_Angelina { ; time=0:12:06.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.1105807706285532/-0.0000521139337279\ /1.57171e+011/1/-13/0 params=1/2/0.05/-2/0/0/0/0 float=y maxiter=7500 inside=0 mathtolerance=0.05/1 colors=000jJOiNMgRLfUJeYIcaGbeFahEbeGcbId`KdYMeWNf\ TPfRRgOThMUhJWiHYjE_jC`gF_dH_aK__M_XP_UR_RU_PW_MZ_\ J`_Gc_Ee_Bh_Bj_Bl_BgZDcZGZYJVYMRYNSZOS_OT_PT`PT`QU\ aQUaQVbQVbQWcQXcQYcQZbQ_aQ``Qa_QbZQcYWcXacWgcVncUt\ fZzkbui_qgYmfVidTebRaaOX_MTZJPXHLVFHUCDSABR8GP9NOA\ UNA`LBgKBnJCtICsJBsJAsK9rK8rL7rL6qM5qM4qM4oL3mK2kK\ 1iJ1gI0eI0cH0aG0_G0YF0WE0UE0WH0XJ0YL0_O1`Q3aS4bU5d\ X7eZ8f`AhcBieDjgEkiFljFmkGnlGomHpnHqoIqoIpnLpmOplR\ pkTpjWpiZph`pgcoffochmaek_biY`gVYeTWcQT`ORZLOXJMVG\ JTEHRBEP9CQGGRMKSTOTZRVWQXUPZRP`PObMOcKNeHNgFMiCMk\ ALl8LfJNaUOWdQRnRSlPTkNTjLUhKVgIVfGWeEXcDXbBYa9Z`7\ ZZ6_Y4`X2`W1cY2e_3ha4jc5md6of7rh8tj9vkAseEp_ImUMkO\ QhIUeCYb6a`peapccpbepagp_ipZkpYmohonmnmqmlulkukiuj\ huiguhfugdtfbqe`nc_kbZiaXf_VcZUaYSZWQWVOTUNRSLORJL\ QIJSHKTHLUHLYIIaJFdJDhKAlL7oL5lN4jP3gR3eT2bV2`X1YZ\ 0W`0Tb0Rd0Of0Mh0Jj0mCRlFP } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 11-01-10 (Mandel Stem Minibrot [No rating])
by Jim Muth 10 Jan '10

10 Jan '10

FOTD -- January 11, 2010 (No Rating) Fractal visionaries and enthusiasts: To no one's surprise, the antiquing bug bit F.L. on Saturday. The cure was a trip down to an antique emporium Emmitsburg, a small town in Maryland about 10 miles south of Gettysburg, where the famous battle was fought. The trip was a success, at least for me. I found a pile of rare and hard-to-find CD recordings at a give-away price. On the two-hour drive back to Central Pennsylvania, FL, noticing the snow-covered landscape, commented that maybe global warming isn't as great a threat as some would have us believe. I could not stop myself from reminding her that I have been saying so for quite a few years. (Actually however, the current cold weather is a temporary local thing and says nothing for or against the existence of man-made global warming.) But there is no doubt about the temperature of today's image. It is hot! It's the fastest image of all time. It appears on the P4-2000mhz screen the instant the <enter> key is struck. The name "Mandel Stem Minibrot" says it all. The scene lies on the main stem of the Mandelbrot set. The unusual pattern around the minibrot was achieved by render- ing the scene with the bailout radius set to 3, which actually cuts off some parts of the M-set, but creates strange effects in the parts that remain. Since minibrots on the main-stem of the Mandelbrot set are the first thing a tyro fractalist checks, I could give the image no rating. But the fact that it appears instantly means that no effort will have been wasted if the finished product, which is just another minibrot after all, fails to bring happiness. Those who eschew happiness and those with over-qualified compu- ters may see the image in all its completed glory on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cold weather continued here at Fractal Central on Sunday, with some sun but a temperature of 23F -5C. After a quick check, the fractal cats decided the heat source would be more comfortable than their window shelf. With the antiquing out of the way, at least for a week, my day was reasonable. It is also reasonable to expect the next FOTD to appear right here in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MandelStemMinibrot { ; time=instantly on a P4-2000 reset=2004 type=mandel center-mag=-1.7156775520884\ 15/0/1.546073e+008 params=0/0 float=y maxiter=500 bailout=3 inside=0 logmap=69 periodicity=6 colors=00041T41S31R31Q31P21O20N10J10F10B0070036FnI\ AhD7`95S42EaCNVAJP8FJ6BC47623z60p50i40a40U30O20I20\ C10600ygDraBkXAdR8YM7RH5KD4D82641aMnSGaJBP95Czz`UV\ Itr4kj3cb2WV2ON1GF18706065055054044043033032022021\ 01101000h2wM1U4qz3hT3_Q2WN2SK2OH1KE1GB1C8085042fI4\ ZF3SC2L92E61730eZUaWRZTPVQMSNKOKHLHFHECEBAA8775532\ 2OJyBf`AbX9ZU8VQ7RN6NK5JG4FD3BA276133nqYacPPRHCD8s\ RHkNEcJCWF9OB7G74832hGcaf2JL1RSoOPjMMeJK`HHXEFSCCN\ 9AI77E459224OilIY_CNO6BCWlBIm7Gh6Fd5D`5CX4AT49P37K\ 26G24C1381140cEOK7CUE2RC1PB1NA1K91I81GzzDzzBzz9zz6\ zz4zz2zzezzXzzPzzGzz8zz6zz4zz3zz2zz1zzkzzezz`zzWzz\ QzzLzzGzzAzz5zzezzZzzSzzLzzEzz7zzzzYzzVzzTzzQzzOzz\ LzzJzzHzzEzzCzz9zz7zzUzzVzzWzzWzzXzzYzzYzzUzzQzz6z\ zMzzIzzFzzBzz7zz3zzOEzG7z8tzOjzKazGSzCJz89z4qz0mz0\ iz0ez0az0Yz0Uz0Rz0Nz0Jz0Fz0Bz07z03z02zKhzgczc_z_Wz\ WSzSOzOKzKGzGCzC8z84z4zzn } END PARAMETER FILE=========================================

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FOTD 06-01-10 (Rising Mist-Sprite [7.5])
by Jim Muth 06 Jan '10

06 Jan '10

FOTD -- January 06, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Things are still running behind here at Fractal Central, which makes it necessary to take a break of a few days in the FOTD to give me a chance to clear away the piled-up work. The next FOTD will be posted on January 11. Meanwhile, today's very-low-order minibrot is certainly worth a peek. I named it "Rising Mist-Sprite" because it reminds me of a wisp of spirit-vapor rising from a witches' cauldron. I rated the image at a 7.5, the extra half-point being a reward for the coloring effort. The calculation time of 5-2/3 minutes is a bit slow, but the result is worth the effort. And as always, those with no time or with new-fangled, DOS-deprived machines may avoid the calcula- tion altogether by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Today here at Fractal Central began with 1 inch, 2.5cm of fresh fluffy snow. The snow ended by 10am, leading to a partly cloudy afternoon with a temperature just above freezing. The fractal cats watched the action from the front window as I swept away the fluffy snow. Then they retired to their chosen sleeping places for the better part of the day. Because of a backlog of work which must be cleared away, the next FOTD will be delayed until January 11. Until then, take care, and live life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rising_Mist-Sprite { ; time=0:05:40.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-1.703119592946421/+1.737103617719614/\ 5.644377e+011/1/95/0 params=1.15/0/15/0 float=y maxiter=15000 inside=0 logmap=-470 periodicity=6 colors=00080U20S40T50L60E707750VAjT9gR9dP9aO9ZM9WK\ 9TI9QH9NF9KD9HB9EA5CA9BACBAFBAIBALBAOBARBAUBFXBK`A\ PcAUfAZiAclAhoAmrAruAvz1zxAwwJuwRsw_qwgowfmseerddj\ cbhdage`eg_diYbkX`mW_mVbmKemFhm9im8km7mm6oz5qz5sz9\ pzDnzHmzLmzPmzTmzXmz`mzdmzhmzomzlmzimzfmzdmzamzZkz\ XizUgzRgzPhzMjzJlzHmzJnzKnzLnzMnzNozOozQozRozSp5Tp\ 6Up6Vp6Wm7Xm8Xm9YmAZmBZmC_mD_mD`mE`mEamEamFamFbmFb\ mGcmGcmGcmHdmHdmIemIemIemJfmJfmJgmKgmKgmKemJdmJcmI\ bmIamH`mH_mGZmGYmFXmFWmFVmEUmETmDSeDRfCQgCPhBOiBNi\ BNkBQlETmHVmKYnN`oQboTepWhqZjqamzdozfmzckzajz_hzXg\ zVezTdzQbzOazM_zJZzHXzFWzD`zEezEjzEnzEhzFczGZzHUzH\ PzIKzJFzJAzK5zL0zL8zSGzZNzeVzlazrbzobzlcziczfczcdz\ `dzYdzVezSezPezN_zOVzOQzPLzPFzPAzQ5zQ0zQ1zS2zT2zU3\ zW3zX4zY4zZ5z`6za6zb7zd7ze8zf8zgAzfCzfDzeFzeHzdIzd\ KzcLzcNzbPzbQzaSzaTzaHziFzkEznDzpCzrFzpIznLzmOzkRz\ iUzhXzfZzeUzcQzaLz_HzYCzW } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Webshots Picture of the Day in Entertainment
by Lee H. Skinner 05 Jan '10

05 Jan '10

I awoke this morning to find that one of my fractal images is the Webshots Entertainment Picture of the Day. http://entertainment.webshots.com/ Click on the photo to see a larger image , then click on Full Album to see other fractals. You can also click on Full size to see any image at 1600x1200. This set of images is also on Sylvie Gallet's web site. Lee Skinner

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www.nahee.com/spanky
by Tim Wegner 04 Jan '10

04 Jan '10

Does anyone know who maintains the (slightly updated) mirror of the old spanky.triumf.ca at www.nahee.com/spanky/index.html?

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FOTD 05-01-10 (At a Snail's Pace [5])
by Jim Muth 04 Jan '10

04 Jan '10

FOTD -- January 05, 2010 (Rating 5) Fractal visionaries and enthusiasts: Today's image shows another low-order minibrot, this one in the parent fractal that results when the formula Z^(1.15)+C is calcu- lated 115 levels up the logarithmic hyperladder with the 'floor' function applied. The parent fractal of today's image is shaped like an oversized torpedo. The image is located in an area of chaos near the northwestern shore line of the parent. The minibrot at the center of the image is shaped more like a snail, which explains the name "At a Snail's Pace". All things considered, the image is merely average and rates an average 5. The image might have rated higher, but we have seen so many similar minibrots surrounded by near-circular herring- bone patterns that all the novelty is gone. An unusually active, narrow-banded color palette creates most of the feeling that something important is going on. The calculation time of 2 minutes is brief enough to allow plenty time for other computerized activities. Those who cannot spare even the 2 minutes may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, a temperature of 28F -2C, a brisk north wind and flurries of snow describes the weather here at Fractal Central on Monday. Warm and cozy describes the state of the fractal cats. Busier than expected describes my state, while FL seemed rather sulky, probably because I told her on Sunday why my attitude is not totally positive. The next FOTD will be posted in 24 hours. Until then, take care, and don't wish too hard for what you want. You might actually get it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= At_a_Snail's_Pace { ; time=0:02:01.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-1.94878787911748/-0.04035578893278759/\ 1.1577e+008/1/177.5/0 params=1.15/0/115/525 float=y maxiter=3000 inside=0 logmap=222 periodicity=6 colors=000G_E8I7nNsP244Uc2FKmi7IagDSX9JM49BRp_IZO9\ HCxJOcCGK68fnWdyIKV9PjZGVN8FB3iJzF_jBRV7IF3982x41U\ rlOb_IVOC9C6OxgQhiDMNBuOFzMLDxsN4h45zKC0N2gSH0E107\ 0qamRJPbIiTDYJ9N94BHPP8CCcTgKEMj2YAGAZIB1TW0JL09A_\ WaROSIGJ989rXwRGUHMkjYaVMPFBCvSxFSPBLI7EC376zzcaOQ\ JCDFKWULeFALzmwp`6qO4HC2eY_vYi`PORIIICC966URny`5VI\ 2tTGeLCSE8E74NbyBJVgg7MM3xz21V60K40A2GW0CO08G0480F\ aQBSJ7JD396k6l_4__ECkGEwIGlQDaYASd7UgFWjNXmUan`fog\ kpnppuTUZ68CvZmbNXJBGgvATb6EJ3xLRD869646433219pR6b\ K4QD2D6EgOAXI7MC3B6TcnEKP4fr2S_1EI4e42S21E1MIfOSl4\ oD2Y81H43k62_41O30C1gFTM7ED8h64MOTLGJE897nqfPRLW58\ G24x_VUIFzy7ji5jV3zF1zdEzFKzzrze_zcIzcLzcAzchzzMzz\ NzzHzzBzz5zzsWzEzz9zz4zz3zz1zze8zzzzzezzLzz0zz0zz0\ zz0zzKzzAzzyzzdzzKzzTzzJzz9zzvzzMzz_zzOzzCzzXzzTzz\ EzzSzzIzz9zzMzzBzzyzzVzzqzzcz8Rz5Dz2Azb7zT5zJ2z93z\ 3izeNzLezQIzSDzL9zE4z7PzL } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 04-01-10 (Minibrot Confusion [No rating])
by Jim Muth 03 Jan '10

03 Jan '10

FOTD -- January 04, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's image lies in the fractal that comes about when the formula Z^(1.56)+C is calculated 30 levels up the complex logarithmic ladder with the 'floor' function applied. I think this function gives the most accurate calculation, though many other functions also create interesting fractals. The parent fractal resembles a fat opening quotation mark. Today's scene is located in the east valley leading to a large bud on the southeastern shore line of the main bay of its parent. The image shows an unusually impressive minibrot with a satellite minibrot close to its lower right shore line. I have not checked this satellite, though I doubt that it equals the main minibrot. Since minibrots are old stuff, I gave the image no rating. The name "Minibrot Confusion" refers to the chaotic pattern filling the frame. The calculation time of 5 minutes requires a bit of patience. Those with no patience or over-qualified machines may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> On Sunday, FL asked me why I so often seem to be upset about something. It took nearly three hours to answer her question, and I think she dozed off during the third hour. Maybe I'll write an article about the things I am dis-satisfied with in the world. Heavy clouds, intermittent light snow, a blustery wind and a temperature of 23F -5C made Sunday a day to be indoors here at Fractal Central in central Pennsylvania. The fractal cats, definitely not of the Cheshire variety, had no smiles for the outside conditions. They spent the day seeking the warmest place they could find. My day was largely spent in rather futile discussion, but I feel I might have made just a tiny difference. And tomorrow is 'back-to-normal' day. The next FOTD will be posted in 24 hours. Until then, take care, and you cannot possibly do all of it by yourself. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_Confusion { ; time=0:05:06.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor inside=0 center-mag=+0.3509677418/-0.5390467156/46683.71/1\ /180 params=1.56/0/30/0 float=y maxiter=32767 colors=000FDkFDkEEjEEjEEiEFiEFhDEiEFhEGhEHgFIgFJgF\ KfGLfGMfGNeHOeHPeHQdIRdISdIScITcJUcJVbJWbKXbKYaKZa\ L_aL``La`Mb`Mc_Md_EeuIdjMd_PdPTdEWd4Vc7Vc9VcBVbDVb\ FVbHVbJUaMUaOUaQU`SU`UU`WU`YT_`T_bT_dTZfTZhTZjTZlS\ YjRYiQYhPYgPXfOXeNXdMXcLWbLWaKW`JW_IVYHVXHVWGVVFUU\ EUTDUSDURCTQBTPATOATN8OQ7JT6FW5AZ45a31d53d64d86d97\ dB9dCAdDCdFDdGFdIGdJIdLJdMLdNMdPOdQPdSRdTSdVUdWVdX\ WdZYd_Zda`dbaddcdeddffdhgdiidkjdlldnndopdpqdrsdsvd\ uydzzdyzcxxdwwdwvdvuduteusetrespesoernfqmfqlfpkfpj\ gohgnggnfgmegldhlchkbhj`hj_iiZiiYihXigWigVjfTjeSje\ RjdQkcPkcOkbNk`IpaKmbMkcNidPfdRdeSbfU_gWYgXWhZTi_R\ jaPkcMkdKlfImhFniDnkBom8UCUUDUUEUUFUUGUUHUUIUUJUUK\ UULUUMUUNUUOUUPUUQUURUUSUUTUUUUVUUWUUXUUYUUZUU_UU`\ UUaUUbUWcTXdSYeRZfQ`gPahObiNcjMekMclMamM_nMYoMWpMU\ qNSoOQmPOlQPmRQmRRmRSmRTnRUnRUnRVnRWnRXoSYoSZoSZoS\ _oS`pSapSbpScFCmFCmFClFDl } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: [Fractint] Fractal Philosophy
by Jim Muth 03 Jan '10

03 Jan '10

Paul Lee wrote: > >I believe that Mindspring, Earthlink, and a few other ISPs are still >blocking Fractalus sent email. But if not, then Jim Muth should get a >copy of this through PhiloFractal. >Sincerely, >P.N.L. Since I received no copy from philofractal through Earthlink, I assume Fractalus is still being blocked. But I'm sending a copy of this letter to philofractal myself just to be sure. Jim Muth

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FOTD 03-01-10 (Recursive Rhapsody [8])
by Jim Muth 03 Jan '10

03 Jan '10

FOTD -- January 03, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's FOTD is late for the usual reason -- FL and I went on an antiquing expedition on Saturday. It's getting to be a FC tradition. The trek was not a total loss, I found a perfectly good, well-aligned pair of Bushnell binoculars for 12 dollars, and FL found a pleasing decorative pillow. The image for today, with its limited palette of colors, rates an honest 8. The name "Recursive Rhapsody" has little meaning beyond its poetic effect. The parent fractal was created by subtracting Z^(-1.5) from Z^(1.5). This parent comes in two parts -- a twisted Mandelbrot set and a separate, smaller and partially occluded set lying some distance to the southwest. Today's image lies in the East Valley of this smaller set, which is the only recognizable part of it that remains. The unusual effect was achieved by rendering the image with the outside set to 'tdis'. The normal outside=tdis rendering is far less impressive. The calculation time of just over 2 minutes is a bargain when the resulting image rates an 8. And even this minor wait may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds, blustery winds, snow-covered ground, and a temperature of 27F -3C made Saturday quite a winterish day here at Fractal Central. The fractal cats ignored the cold, seeking comfort in the warmest spots they could find. My day was spent bargain hunting. The next FOTD is due to be posted in around 9 hours. There's a fair chance it might actually be posted on time. Until then, take care, and don't ask me why the laws of nature work as they do. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Recursive_Rhapsody { ; time=0:02:08.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.97539331598/-2.10693345459/1690985/1\ /-147.5/0 params=1/1.5/-1/-1.5/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=0001be7`aCZZHXWMVTSTQXRNaPKfNHXFMNDQEBKCEHI\ 6JN9LaJMcLOeNQjRRpUTtYVzaWwVVvTUtRTrQSpPRnNQlMPjLO\ hKNfJMgILiLNkNPlPRnSToUVqWXrYZs``sbbtddtffuihukjvm\ lzonzpkzqhzrezsbztczudzvezwfzxgzyhzzizzjzzkzzlzzmz\ znzzozzpzzqzzqzzizzazzUzzUzzUzzUzzUvzUrzVmzVhzVczV\ ZzWUzWPzWKzWFzZAz`5zc5ze4zh4zj4zm4zo4zqBznHzkmzhmz\ emzbmz_mz`mzamzbmzdmzfzzhzzjzzlzzmzzozzqzzszzuzzwz\ zxzzrzzlzzgzzazzWzzRzzLzzFzzAzzHzzOzzVzzazohzrnzri\ zrdzr`zrWzrRzrNzrIzrDzr9zr4zr0zi6zaCzUHFMN6ES8DR9C\ QBBPCAPE9OF8NH8NI7MK6LL5KN4KO3JQ2IR2IS7GTCEUHCVLAW\ Q8XV6XZ4W`6Vb8UcAUeCTfEShFRjHRkJQmLPnNOpPOqQQqQRpP\ TpPVpPWoOYoO_oO`nNbnNdnNemMgmMimMjmMhjPggSeeVdbXb`\ _aYb_WdZTgXRjWOlUMoTJrSHtTIoUIkVIgWIcXJ_YJWZJS_JO`\ JKco6bm7bl8bk9bjAaiBahCafDaeE`dF`cG`bH`aIZ`JX`JV`J\ U`JS`KQ`KO`KN`KL`LJ`LH`LG`LF_SE_YE_cD_jC_pC_vG`rJa\ nMbkPcgSdcwhckfd_edOdeCce } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] DOS_mode
by JackOfTradeZ＠comcast.net 03 Jan '10

03 Jan '10

. I second Paul N. Lee suggestion. This is what I have been doing (and saying) for years. I use a stack of P3 systems, stripped bare, running native DOS or Win98SE configured to boot directly to DOS-7. The highest end P3 (933 MHz, or so) seems to be the best. You can get these for as little as 20-50$ at any local computer repair/salvage/2nd hand shop. As for current systems, I have confirmed that Athlon chips work much better than Intel, and some graphics cards work very good, some suck. This is hit and miss - I don't know the reason. WinXP or Media edition doesn't seem to be a problem IF you have the right system. You can also create a FAT32 partition on your HD and boot with a Win98 boot disk or CD. Hope this helps. .

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Re: [Fractint] Intelligent life
by JackOfTradeZ＠comcast.net 02 Jan '10

02 Jan '10

someone say: "" What intelligent living organism alters and devastates its environment to the point of hazardous existence and the extinction of other life forms??"" I reply: "" What intelligent living organism is arrogant enough to believe it is significant enough to alter and devastate its environment to the point of hazardous existence and the extinction of other life forms??"" The lack of human intelligence is glaringly obvious during every election season. Dogs are smarter then most people I have known. The dumbest animals in the woods know what to eat, people need to have their lifestyles and eating habits dictated to them by know-it-all authorities now. The "environment" has survived catastrophies beyond anything we could ever create, and survived hundreds of millions of years just fine before anything that could call itself human stood up on 2 legs; it doesn't need us to be the babysitter now. For those who are so inclined: Luke 21:25-26 And there shall be signs in the sun, and in the moon, and in the stars; and upon the earth distress of nations, with perplexity; the sea and the waves roaring; Men's hearts failing them for fear, and for looking after those things which are coming on the earth: for the powers of heaven shall be shaken. There IS no climate crisis - it is a SCAM designed to transfer wealth from the developed nations to 3rd world sump-holes. CAPISCE ?! back to fractals ......

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Fractal Philosophy
by Paul N. Lee 02 Jan '10

02 Jan '10

Since the downfall of the email servers on the Fractalus Domain, and lack of support by various ISPs to allow postings from there to be delivered, a new Board was created within the Fractal Forums web site: http://www.fractalforums.com/philosophy/ Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 02-01-10 (Intrepid Iteration [No Rating])
by Jim Muth 01 Jan '10

01 Jan '10

FOTD -- January 02, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's FOTD, which was written on January 1, is another quick one. I found the scene in about the same length of time the parameter file takes to calculate. The lack of effort shows. The image shows an order-7 minibrot in a quadratic setting, with the usual confusion in the outer parts of the pattern around the minibrot, where hints of a quintic nature are also creeping in. The name "Intrepid Iteration" simply came to mind as I studied the image. There is no reason behind it. The lack of a rating implies the corresponding lack of effort. The calculation time of 2-1/3 minutes will require a modicum of patience, but no patience at all is required to surf out to the FOTD web site and view the finished image there. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mixture of clouds and sun here at Fractal Central on Friday, with a temperature of 37F +3C, made the first day of the new decade un-notable. The fractal cats agreed, doing nothing un- notable themselves. My day was off-and-on acceptable. The next FOTD will be posted in 24 hours. Until then, take care, and one of these days we'll have a breakthrough. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Intrepid_Iteration { ; time=0:02:19.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=+0.2705841985247836/+0.5750265587298194\ /3e+010/1/-160/0 params=7/1e+020 maxiter=1500 float=y inside=0 logmap=338 mathtolerance=0.05/1 colors=0007AA8EB9ICBMDCQEDUFEYGGaHHeIIiJJmKKqLLpOM\ pRMpTNpWNpZOp`OpcPpfPphQpkQpmPjdPdWPZOPTFPO7TNDXNI\ `MOdMTgLZkLcoKisKnvKstJtsItrHtqGtpFtoEtnDtmCulBukA\ uj9ui8uh7ug6udFqaOnZXjWegTncQw`Sx_Ux_VxZXxZZxZ_xYa\ xYcxYdxXfxXgxXNZW39V68X88ZA8`C8bF8dH8fJ8gL8iN8kQ8m\ S8oU8qW8sY8tWCrUGpTKoROmQSlOWjM_hLcgJgeIkdGobFsaKm\ bPhbTcbYZcaUcfOckJdoEdt9dx4dv6bu7as8`r9_qBZoCYnDXm\ EWkGUjHThISgJRfLQdMPcNObONXMVSLaNKhLPkKUmJZoIbqHgs\ GluFqwEuyDvtCvoBvjAwe9w`8wX7wS6xN5xI4xD3x97wCAwFEw\ HHwKKwNOwPRvSVvUYvX`v_dvagvdjvfbjNVZ4ssGrtKrtOqtSq\ tWpt_ptcptgqsfqrfqqfrqfrpfrofsnfsnfsmftlftkftkfujf\ uifuifrfepddnbcl_bjYahW`fU_cRZaPY_NXYLWWIVUGUSETQC\ TPHVOMXNRZMW`L`bKedJjfIohHtjHylKngNdcmV_mLVmKRmONm\ RFcU8cXAcZCc`DcbFcdGcgIciJckLcmMcoOcqPcoMmnKmmImlF\ mkDwjBwi8wh6wg4zf2zd7zcCzbHz`Lz_QzZVzYZzdXzjVzqTzW\ Wzf9zoIznRzqRzsRzuRzk0zo9 } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 01-01-10 (First of the Second [8])
by Jim Muth 31 Dec '09

31 Dec '09

FOTD -- January 01, 2010 (Rating 8) Fractal visionaries and enthusiasts: For the first FOTD of the second decade of the 21st Century (thus the name) we venture rather deep into the west side of the northern branch of Seahorse Valley of an everyday Mandelbrot set that has order-9 characteristics in its deeper regions. Since we are already in the deeper regions, the higher-order nature of the minibrot in the image is in full manifestation. But things have become rather scrambled around the edges, where the quadratic stuff merges with the order-9 stuff in a haphazard way. The rating of an 8 might be a bit exaggerated, but it's been so long since the last 8-rated image that I decided to be generous. The calculation time of 10 minutes is not exaggerated however. For relief of resulting impatience, check the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday here at Fractal Central began with light snow. By the time it ended just before noon, 2 inches 5cm had piled up. The rest of the day was cloudy with a few snow flurries and a temper- ature of 34F +1C, which made clearing the sidewalk almost a pleasure. The fractal cats found the lack of sun anything but pleasurable however. The next FOTD will be posted in 24 hours, or in the next decade, whichever comes first. Until then, take care, and as I often wonder, is our culture addicted to science? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= First_of_theSecond { ; time=0:10:10.11-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-0.7506532104990302/+0.0208186341835746\ /5e+011/1/15/0 params=9/9e+019 mathtolerance=0.05/1 maxiter=7500 inside=0 logmap=1225 periodicity=6 colors=000cczbcyacx`cw_duZdsYdqXdoWemVekUfiUfgVfeW\ gcYgaZh_`iYajXbkXdlWemWgnWhoWjpWkpWlqWnrWosVqtVruV\ svVuwVvxVxyVyzVyzVyyVxxVxwUxwUwvUvvVuuXtu_stXssTrr\ QqqMqpJpoFpoComBnkAmi9lh8kf7jd6ib5ia5jb5kc5ld5me5n\ f5og5ph5qi5rj5sk5sk5ljBfiH_iNUhSNgYHgcAfi4fn5cl5`k\ 6Zi6Wh7Tf7Re8Pg8Oh8Mj8Lk8Jl8In8Go8FpDIoHLnLOmPRlTU\ lXXkaZjeaiidimghqjgumfyofwjbueZs`VrXRpSOnNKmJGkECi\ 98h55i66i77i78i89i8Ai9Aj9BjAClBDmBEnCEoCFoDGnDHmEI\ lEIiDKgCLeBNcAOa9P`8RZ7SX6TW5VU4WT4XR6VP8TN9RLBPJC\ NIELGFJEHHCJFAKD9MB7N95P73Q51S30T2QSWnSyoRupQrqQor\ PkrPhsOetOauNZuNWlNZdNaWNdONfwRcnT_fVXZWURYQJ_NB`K\ CZMDYNEXPFWQGVSHUTISUJRWKQXLPZMO_NN`J7iQGaXPVcYOd_\ Pe`PfbPgcQidQjfQkgRliRmjRnkSomSpnSroTsqTtrTutUzwSv\ uUwvUxxVvyVrzGmzHmzKmzPmzUmzZQzcRzhTzmUzrVzvWzzZzz\ WzzZzzazzdzzgzzjzzmzzpzzszzuzzwzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 31-12-09 (The Other Way Around [7])
by Jim Muth 31 Dec '09

31 Dec '09

FOTD -- December 31, 2009 (Rating 7) Fractal visionaries and enthusiasts: For the last FOTD of the popularly-accepted first decade of the 21st Century, we have an unusually striking order-11 minibrot. It is located in a side filament just beyond the East Valley of the largest minibrot on the filament system of the large period-3 bud on the north shore line of the main bay of the parent fractal, which on the surface is a classic quadratic Mandelbrot set, but in its depths, an order-11 fractal. Actually, the midget that fills the image is the finest order-11 minibrot I have yet found. I named the image "The Other Way Around" for some reason that I have since forgotten. The rating of a 7 seems about right, since the image has both artistic and mathematical interest, filled as it is with brilliant anti-basins, which actually are the lowest-iteration points in the frame. All this stuff may be seen in a fireball 36 seconds after the attached parameter file is started, or in an equally easy way by viewing the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Hazy sun and a high temperature of freezing here at Fractal Central on Wednesday made the day totally routine for early winter. The fractal cats spent a few minutes on their shelf in the window, but most of the time near the heat. My day was less busy than the past couple weeks, but still far from slow. The next FOTD, the first of the second decade of the 21st Century, will be posted in 24 hours. Until then, take care, and if humanity is a parasite on the earth, we must remember that a successful parasite does not destroy its host. (Actually, I wonder why we hear so little from the well-inten- tioned greenies about addressing the real problem facing mankind -- our over-population.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheOtherWay_Around { ; time=0:00:36.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-0.1500652732064654/+1.02814534759123/\ 2.175652e+012 params=11/1e+020 maxiter=400 inside=0 logmap=48 periodicity=6 mathtolerance=0.05/1 colors=000wzzfxzZwzUuzPswKqtHoqImoJllKjjLigMgeNfbO\ d_PcYQaVR`TSZQTYORULQQJOMGNJELFCKB9I77H45MA4QF4VK4\ ZQ4bV4g_4ke4pj4vs4zz4zzNztevtxjowZjwOfwVMbW1IU3KS5\ LQ7NP9ONBQLDRKFTIGUGIVFKXDMYBO_AQ`8Sb6Uc5Vd6Ue6Tez\ SezRezQezPezOezPdzQdzQdzRdzSdzUdzVdzObzSczWdz_ezce\ zgfzkgzohzshzdYzROzDEzJIz2EzOLzgEzhLziSzjYzkdzlkzo\ uznszmqzlpzknzjlztnzolzjkzfizahzXfzTezOczKbzO_zRYz\ cFz`JzXNzURzRVzOZzPdzPjzQpzQvzOtzNrzMqzLozKmzJlzIa\ zISzIIzFGzDEzBCzKKzTSzzzzX`zS`zN`zI`zD`z8`z4`z5Uz6\ Oz7Hz8Bz85zCBzFGzIMzLRzOXzRazUgzXlz0mz7kzEizLhzSfz\ ZdzdczSUzGLz4CzELzNUzWbzdkzmsznlznezo_zoTzoNzoKzoH\ zfFzZDzRBzJ9zB7z35z4Ez5Mz6Uz7az8izA4z9Ez8Oz7Yz7fzE\ czKazRZzXXzcVziSzpQzvOzqQzmRzhTzdUz`WzWXzSZzPYzO_z\ N`zMazLbz5xzDmzLczTUzcEz`KzPEzUKzZQzcWzhazmgzrmzwt\ zvszvrzvqzvpzvozvnzvmzQqzyozvlztjzrhzpfz`Bz_Fz_Jz_\ Nz_RzZVzZZzZbzZfzUbzPZzO` } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 30-12-09 (Happy Old Year [No Rating])
by Jim Muth 29 Dec '09

29 Dec '09

FOTD -- December 30, 2009 (No Rating) Fractal visionaries and enthusiasts: With the seasonal rush still in full swing here at FC, today's image is another quickie, with a calculation time of 1-1/4 minutes. The parent fractal is rather promising. It consists of an upside-down Mandelbrot set, with a segment of another M-set just to its southwest and a series of large irregular bays farther west of there. The whole thing is surrounded by a field of twisting filaments. Today's scene, which captures only a bit of its parent's potential, is located on the western shore line of the westernmost irregular bay. The main effect of the image was achieved by rendering the scene with the outside set to 'tdis'. The image has no rating, and IMO deserves none. The name "Happy Old Year" gives a bit of perhaps unearned homage to the year just ended. The already-calculated image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun shone brilliantly here at Fractal Central on Tuesday, but with a temperature of only 21F -6C and a brisk wind, coats and scarves were the order of the day. The fractal cats seemed happy enough, taking full advantage of both the sun on their window shelf and house heat. The next FOTD will be posted in 24 hours, and things are almost settled down enough for me to give a near-guarantee. Until then, take care, and if you are in the northern hemisphere, think warm; otherwise, think cool. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Happy_Old_Year { ; time=0:01:16.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-1.4967859509/+0.7705568913/51173/1/50/0 params=1/-1.5/0.3/-6.5/0/0/0/0 float=y maxiter=700 inside=0 outside=tdis logmap=53 periodicity=10 colors=000ZQYXQYWPZVPZTP_SP_RP_kSPlRRmQTnPUoOWoNYp\ MZqL`rKbsJcsIetHguGhvFjwElwEmvFnuGntHosIorJpqJppKq\ oLqnMrmNrlNskOsjPtiQthRugSufSveTvdUwcVwbWxaXxcYveZ\ uf_th`siarkbqlcpndnpemqflsgkthjviiwjhtkdrk`pkXnkTl\ lPjlLhlHflEgiFgfFgdGgaGgZHgXHgUIgRIgPJgMJgJKgHKgEL\ gBLg9Mg6Mg3Ng1Ni3Mk5Mm6Mo8Mq9MsBMuCMwEMyFMuENqENmE\ NiENeDOaDOYDOUDOSHQQKRPNTNQUMTVLSXLSYLS_LS`LSbLRcL\ ReLRfLRhLRiLRjKQlKQmKQoKQpKQrKPsKPuKPvKPxKPyKPzTYv\ afsiopimmikkiiiigfiedicbia_i_YiZWiXUiVRiTPiRNiPKiN\ IiLGiKEgLHfMKeNMdOPcPRbQUaRX`RZ_SaZTcYUfXViWWkVXnU\ XpWYfYZX__Oa`Eca5d_7eZ8eX9fWAfVBgTCgSDhREhPGiOHiNI\ jLJjKKkJLkHMlGNlFOjHMhIKfKIdMGbOE`QCZRAXT8VV6TX4RZ\ 2P_1S`7VaDYbI`bOccTfdZiddleioforftogrlgpihnfhlcija\ iiZjgWjeUkcUkaZl_clZhmXmmVrnTvnRzoPzoOzpUzq_zrezsb\ zt_zuXzvUzwSzxPzyMzzJzzHzzEzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 29-12-09 (Conveniently Rough [No Rating])
by Jim Muth 29 Dec '09

29 Dec '09

FOTD -- December 29, 2009 (No Rating) Fractal visionaries and enthusiasts: Due to too much rush and too little time, today's image, which is an order-7 minibrot, will go without the usual discussion. (The image speaks for itself.) The name "Conveniently Rough" means nothing. The calculation time of a minuscule 44 seconds may be bypassed by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds, brisk winds and a temperature of 30F -1C made Monday a day to remain indoors here at Fractal Central. The fractal cats did just that. My day was busier than expected, but tomorrow should be slower. Until then, take care, and how could intelligent minds have evolved in a universe that some say is only an illusion in the mind? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Conveniently_Rough { ; time=0:00:44.53-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip center-mag=-113.2214734579629/-41.64385074866352/\ 9794907/1/-5.5/0 params=7/110 float=y maxiter=750 inside=0 logmap=95 periodicity=6 colors=000aSGcUCdTGdSJeRMeQPfPSfOVgNYgMahLdhKgiJji\ ImjHpjHskKpkNnlQklSimVgmYdn_bnb`neYogWojTpmRpoPsrM\ vuKzwIwtJvrJupJtnJskKriKsgKteKtcKrZJpUImQHgNHaKGVG\ FMAFEAA000ZzhUygPwfKueFsdAq`5o_4mZ4lZ4kY4jY5iX5hX5\ gW5fV5eV6dU6cU6bT6aT6`S7_R7ZR7YQ7XQ7VP7TP8RO8PN8ON\ 8OM8NM9ML9LL9KK9KJ9JJAIIAHIAHHAGHAFGBEFBEFBDEBCEBB\ DzfVdmUzeUcmUzdUbmTzcTbmTzcTamSzbS`mSzaS_mRzaRZmRz\ `RZmRz_QYmQzZQXmQzZPWmPzYPVmPzXOVmOzXOUmOTWNTWNTVN\ SVNSVNRUMRUMRUMQTMQTLPSLPSLPSLORKORKNRKNQKNQKMQJMP\ JLPJLPJLOIKOIKOIJNIJNHJNHIMHIMHHLGHLGHLGGKGGKGFKFF\ JFFJFEJFEIEDIEDIEDHECHDCHDBGDBGDfvzeuzztzdszzszcrz\ zqzbpzzpzzqzzrzzszztzzuzzvzzwzzxzXzzXzzWzzWzzVzzVz\ zUzzUzzzzzzzzzzzzzzzzzzzzzzzzzzPzzdzzbzz_zzYzzVzzS\ zzQzzNzzLzzJzzIzzHzzFzzEzzDzzBzpAzp9zp8zp9zn9zm9zl\ 9zk9zi9zh9zg9zg9zf9ze9zc9zbAzaAz`Az_AzYAzXAzWAzVAz\ TAzSAzRAzQBzPBzNBzMBzLBzK } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 28-12-09 (Deep in the Suburbs [5])
by Jim Muth 28 Dec '09

28 Dec '09

FOTD -- December 28, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's super-fast image is theoretically the last of the current series of quickies. (But as always, nothing is guaranteed.) The image lies in one of the northern elements of the outer ring surrounding the parent fractal, which is an everyday Mandelbrot set surrounded by a series of concentric fractal rings. The huge negative value I entered as the second parameter was a mistake, but the result turned out well enough to be declared FOTD for Dec.28. Curiously, an equal positive value makes little difference in the appearance of the parent fractal, though it does cause today's image to vanish. The rating of a 5 seems appropriate for the image. The name "Deep in the Suburbs" indicates that the scene lies in the most remote outskirts of the parent M-set. The calculation time of just under a blazing fast 8 seconds eliminates the risk of fractal disappointment. Another way to avoid risk of disappointment is to surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and stare in awe and wonder at the finished image posted there. Near total sunshine and an unexpected temperature of 46F 8C kept the fractal cats contented here at Fractal Central on Sunday. I was contented by having gotten through the first holiday without a major disaster. The upcoming holiday should be no problem. The next FOTD is due in 24 hours. With most of the rush behind us, it should be posted on schedule. Until then, take care, and wonder where. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_in_theSuburbs { ; time=0:07:58.35-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=-0.3511617620904705/+5.150120287418152/\ 6.32635e+008/1/180 params=-11/-1e+032 float=y maxiter=300 inside=0 logmap=29 periodicity=6 colors=000`GlWDaSAQN7FJ44OEGTNSYWcbdogmzzuzvpqrkio\ gaebUbZNgNZlCjq1vs8ttEruLpvRnwXlxcjyihzogmiamcXmYR\ mTMnkMmkrmASmEamIkmLumXUmh2mg7mgCmgHCfMCfRBfWBf_Ei\ YHlWKoUNrSPtRLuQIvPFvOCwN9xM6xL3yK0yJXW`VVzcfnkqcm\ nZzoUppPzqKrrFzsAut5zu1evEzwQAxazy`Vz_zzZnzYzzQHzI\ zzA0znzzfzz_zz`lzazza_zbzzbNzczzcOzdzzd`zezzemjezl\ SfmEzn1ar4zv6Zz8zsLKmXzfi6`uzcsFfqzioNlmzokWzi_zgc\ ze_zaXzZUzWRzTOzQLzNIzKFzHMzJSzLYzMczOizQozRoztgze\ _zSSzELz0TzdPzjMzoJztGzyDzwBzv9zu6zt4zs2zrTzmszhqz\ bpzXozSRzcPzbNzaLz`Jz_HzZFzYDzXBzXDz_FzaHzcJzeLzgN\ ziPzkRzmRzgRzaRzWRzRRzLRzFRz9Rz4JzHBzU4zeDzgLziTzj\ azliznqzorznrznrzmrzmrzlrzlrzlyzjlz_`zPOzECz3NzLYz\ bfzLoz4pz6qz7rz8sz9tzAnzHhzNczTZzXVz`RzdNzhJzlFzoO\ zdWzVczLkzBezG_zKVzOPzTJzXEz`FzTGzMHzFXzdYz`YzYYzV\ ZzRZzOZzLZzIgzDpz8nzBlzDjzGhzIfzLdzNbzPdzTezWfz_gz\ bhzeizijzlkzojzrjztmzloze } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 27-12-09 (What Kind of Midget [?])
by Jim Muth 27 Dec '09

27 Dec '09

FOTD -- December 27, 2009 (Rating ?) Fractal visionaries and enthusiasts: Today's image is another very quick one, but the speed lies in the time I spent finding it. Its calculation time of just under 9 minutes is in no way exceptional. The image is located in one of the 999 lobes surrounding a larger minibrot of order 1000, which is shaped like a truncated Mandelbrot set. The parent fractal however is nothing more than a grossly enlarged classic M-set. I named the image "What Kind of Midget" because I have never seen anything quite like it. It appears more like a pile of circular disks than a single minibrot. Similar scenes lie deep in the hairline outlines, though most of the action down there is far beyond resolution. Totally puzzled, I gave the image a rating of a question mark. If the mathematical interest is eliminated however, the artistic value would be around a meager 4. As always, the chore of calculation may be eliminated by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds and showers, with a surprisingly mild temperature of 46F 8C, brought a bit of contentment to the fractal cats here at Fractal Central on Saturday. All else was within reason. The next FOTD is due in about 8 hours, but there is a good chance it may be late, and it could take several days to get everything back on schedule. Until whenever, take care, and be with wisdom. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WhatKind_of_Midget { ; time=0:08:53.95-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip passes=t center-mag=+38.01381920806158/-0.0452846543720105/\ 1.3e+011/1/-62.6/0 params=1000/150 maxiter=5000 float=y inside=0 periodicity=6 mathtolerance=0.05/1 colors=000HGFGBCEFHDILCLPBOT9SX8V`7Yd6`h5dl5gp5jt5\ mx7XvDHtFKrHMqIOoKQnLTmNVkOXjQZhRagTcfUedWgcXibVh_\ TgXRfUPeRNdOLdMNgHPjDRm8Tp5Vs5VaSVLrXNpYOo_Qm`RlbT\ jcUieVhfXfhYei_ck`blb`nc_odZlc_jb`haafaac`ba_c_ZdY\ ZdVYeTXfRWgPWgNZgM`gKbgIdgHfgFbgEZgCVgBSgGPhKNhPKh\ TIhVLiWNiYQiZSi`UiaXicZjdajfcjgejihjjjjklj9TO6eL5r\ I5zFXr`YfvZaZZYBcZAh_Am_9s`9u`9wa8wa8wb7wb7wc7wc6w\ d6wd6wcAwbDwaGw`Jw_MwZQwYTwXWwWZwVawUevThwSkxRnyQq\ yQtwOmuNgsL`rKVpIOnHImGCkHDjHEhIFgIGeJHdJIcKIaKJ`L\ KZLLYMMWMNVNOUNOaX_ifkWRYICKmmzmmzmmzmmzmizmgzmezm\ czmczmdzmdzmdzhdzcdzZdzUdzPdzKgzOjzTlzXoz`rzetziwz\ mzzrzzvzzzzzAyzAtzAozAjzAezA`zDWzGRWCGS9LP6PMGQTPR\ ZYSdfTjmXls`nycokcccmxqAXoQXZFnINOQSRYXTeaV7Po5wzK\ qpZkf5byHcqSdjbecHshYlbRjOZhRffUQzsapg_V5f`IeLDhSK\ kZRa_mGgFXfOpELoOPnXT5OxQXjKaQyAUvIVsQWpYX``5ebEid\ O8jxTajPN9MQ`L_SKVPJQMILI } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 26-12-09 (Googling Along [No Rating])
by Jim Muth 26 Dec '09

26 Dec '09

FOTD -- December 26, 2009 (No Rating) Fractal visionaries and enthusiasts: A lot of visitors and feasting on Friday left little time for a fractal search. what I found in a pinch was a scene in the north valley of a Mandelbrot set well on the way to becoming a Z^(1001) Mandeloid. The image I found there resembles nothing as much as a set of herringbone combs, if such things actually exist. If you want to see why I named the image "Googling Along", check the second parameter, which is much greater than (10^100)^2. (10^100) is one google! Of course, such a hasty image can earn no rating, but at the same time the calculation time of under 1-1/2 minutes will cause no inconvenience. The already-calculated image is available for immediate viewing pleasure on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Christmas day here at Fractal Central began with freezing rain, but by noon the temperature rose above freezing, and the after- noon featured just plain cold rain, with a temperature of 37F +3C. The fractal cats were more interested in wrapping paper and their fresh new catnip rats than the outside conditions. My day was busy but not too bad. The next FOTD is due in 10 hours or so, and if things stay under control, it might actually be posted on schedule. Until then, take care, and enjoy it while you have it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Googling_Along { ; time=0:01:26.28-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y passes=1 center-mag=-0.1010620593/+0.956303976273/\ 543157/1/57.75/0 params=1000/1e+250 maxiter=500 periodicity=6 colors=000FFPPcOSaNV_NXYM_WLaULdSKfQKhSJiUIkVHlXGn\ ZFo_EqaDrcCtdBufAvgAqfEleHgdLbcOYbSTaVO`ZJ_ayj4xg6\ wd8vaAu_BtZEtYHtXKtWNuWQuVTuUWuTZuSavSdvRgvQjvPmvP\ opRljTjeUh_WfVXdQZbS_`UaZWcXYfT_iQalMcoJerFguCiv9k\ tBmrCkpDinEgmGekHciIahJ`hK_jJ_kJ_lI_nI_oI_pH_rH_sG\ _tG_uGWtKStOOsSKsWGrZCrb8qf4qj1qm7liCgfHbcNY_STXXO\ UaKR_ORZSRYVRXZRWbRVeRUiRTmRSpRQqSPqSOrTNrTMsULsUK\ tVJtVHuWGuWFvXEvXDwYCwYBxZAxZDwYGvYIuYLtYNsYQrYTqY\ VqYYpY_oYbnYemYglYjkYlkYilbgmfdnjbon_prYqvqxEnuDkr\ DhpDemDbkC_hCXfCUcCRaBOZBLXBIUBGSBKWBO_BScBWgB_kBb\ nBcmCclCdkCdjCeiDehDfhDfgDgfEgeEhdEhcEhcE`hPTmZLri\ EvsCrpBnmAjj9gg8ce6_b5X_4TX3PU2MS6KVAJXDIZHH`LGcOF\ eSEgVDi_JkcPlgVnk`oofqslrwrsd`cNKORNSVQVZSYaVaeXdi\ _glajfg_`mPVsEWrHXqJYpMZoO_nR`mTalWalYbk`cjbdieehg\ fgjgflgfnidojbokapl_pmZpnXqoWqzmrrTrsRrtQsuOsvNtwL\ txKtsOpnRlDmRFkRIiQKgPNeP } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 25-12-09 (Ultra Quickie [No Rating])
by Jim Muth 25 Dec '09

25 Dec '09

FOTD -- December 25, 2009 (No Rating) Fractal visionaries and enthusiasts: The rush here at FC is extreme, so the discussion is correspond- ingly brief. Today's image is nothing more than an interesting network of filaments near the tip of the main stem of a distorted Mandelbrot set. The image takes almost no time to calculate, so any disappointment will be limited to the nuisance range. I gave the image no rating. The name "Ultra-Quickie" refers not to a high-speed super-hero like The Flash, but to the 20-second calculation time. As always, the completed image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Total sun and a temperature of 36F +2C here at Fractal central on Thursday made the fractal cats very happy as they tried to help wrapping the presents. When Nicholas started eating a bow however, we had to tell them we needed no help. The next FOTD is due in under 12 hours. If all goes well, it will be posted on time. Until then, take care, and be conservatively liberal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ultra-Quickie { ; time=0:00:21.24-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=-1.611636285272985/+0.00000015695683192\ /3.8164e+012/1/66/0 params=3/2 float=y maxiter=1500 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000YMSXKQXJPWINWGLVFJVEIRFGNFEJGCBL4CK5CK5C\ K5CK5CK6CK6DJ6DJ6DJ6DJ7DJ7DJ7EI7EI8EI8EI8EI8EI8EI9\ FH9FH9FH9FHAFHAFHAGGAGGAGGBGGBGGBGGBwIOuHNsHMqHMoH\ LnHLlHKjHKhHJgHJeHIcHIaHH`GHZGGXGGVGFUGFSGEup`zo`y\ m_xkZwiYvgYueWqcUmaSi_QeXOaUMYRKUOIQLGMIEIFCFCBKBG\ OALT9QX8Ua8Ze7cj6gn5ls4qw4uhIoVViHgcLh`OhYRiVUiSXj\ Q_jNbkKekHhlEklCnm9qm6tn3wn1vl3vk5vj7vi9vgBvfDueEu\ dGubIuaKu`Mu_OtYPtXRtWTtVVtTXtSZsR_sQasOcsNesMgsLi\ sKjqJhoJfmJelJcjJbhI`KLIfI_eIYcIWaIV_ITZHSXHQVHPTH\ NSHLQHKOGIMGHLGFJGEHGCy1`u3Zq4Xn5Vj6Tg7Rc8P`ANXBLU\ CJQDHNEFJFDW7IV8HU9HT9GSAGRAFQBFPBFOCENCEMDDLDDKED\ JECIFCHFBGGBYvqWsnVpkUmhTjeSgbQd_PaXO_VNXSMUPKRMJO\ JILGHIDyakqYdiUZbRTVNNNJHY4KU7IQ9GNCEJECHQJGPIGPIG\ PIGOHGOHGOHGNHGNGGNGGMGGMGGMFGLFGLFGLFGKEGKEGKEGJD\ GJDGJDGIDGICGICGHCGHCGHBGGBGGBxW2pT4iQ5aO7VL8NIAxB\ PqCNkDLdEJ`dc_Z`ZUYZPWYNU } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 24-12-09 (Pits and Bieces [6])
by Jim Muth 23 Dec '09

23 Dec '09

FOTD -- December 24, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's image turned out quite well considering the whopping 3 minutes or so it took me to find it. It turned out well enough, in fact, that I decided to give it a rating of a 6. The exponent of Z in today's image is 1.77828, which just happens to be the 4th root of 10, not that this makes much difference in the appearance of the image. The fact that the parent fractal was calculated 14 levels up the complex logarithmic hyperspiral with no function applied is far more significant. Most of the effect is created by the color palette, which was actually created by the Fractint program with a single strike of the <enter> key. The name "Pits_and_Bieces" is a slight variation of "Bits and Pieces", which needs no explanation. The only thing left to mention is the very fast 65-second running time of the included parameter file. The finished image is posted as always on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Full sunshine but a brisk temperature of 25F -4C here at Fractal Central on Wednesday kept the fractal cats toggling between their window shelf and the heat source. With me, things contin- ued hectic. The next FOTD is due in 24 hours, but with so much to be done on the day before Christmas, there is a good chance I might not have time to do an FOTD. Until whenever, take care, and be patient. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pits_and_Bieces { ; time=0:01:05.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.7549969820674577/-0.0553349364154242\ /7.227405e+008 params=1.77828/0/14/0 float=y maxiter=1500 inside=255 logmap=112 periodicity=6 colors=000000000000000000SgIN_FITCEM99E6473flASW6E\ G37CB5A94873652431212Pc1KX1GQ1CK08D0464cx3Zp3Uh2Pa\ 2KU1FM1AF057MqnIheE_YBRP7IH398zVkrRejN_bJUVFONBIF7\ C7360PGb22W11Q11J11D006009KL7HI6EF5BC389256123a7GV\ 5DP4AJ38C25612uumTTPFXVtLYa8GJ48duYKTHV_XFIGOAoC5Q\ jTibOaVJUNENF9F747iRaYKSNDJB69aTzJEVg5Z_4TT3NM2HE1\ B705AjT8bO6VJ5NE3F9174fTELE7zBie7UL3FdHTUCLK8EA47p\ DRZ8IH49RoAMf8IY6DQ59H3481VDxOAkI7_C5O62C7dx5Ym4Rc\ 3KU2DK16Aq`DhUA_O8RI6IC4962e18_06U05O04I03C02601qT\ eiO_aKUUGONCIF8C746UmaPdVKXPFPJ4y`AmUFaOKQHPFBRMDT\ SEVYF_TDcOChJAlF9jGBhHDfIFdIHTOSIUb7Zl9ahBceDeaEhZ\ GjVIlSJnP6czFczBcz7cz3cz3cz2cz2cz1hz1hz1mz0mz0mzZm\ zHmzKmzGmzDmzAmz6mz3mzPmzKmzFmzAmz5mz0mzdmzzmzzmzz\ mzzmzzmzXmzQmzKmzDmz6mzumzimzYmzNmzBmzpmznmzPmzzmz\ emzLzzozzgzz`zzTzzMzzEzz7zzQzzJzzDzz6zzZzzQzzHzz8z\ ztzzazzJzzxzzUzzQzzMzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 23-12-09 (Quickie Number-01 [No rating])
by Jim Muth 22 Dec '09

22 Dec '09

FOTD -- December 23, 2009 (No Rating) Fractal visionaries and enthusiasts: Another big rush here at FC on Tuesday means another abbreviated discussion. This trend is likely to continue until after the holidays. The formula behind today's image combines equal parts of Z^2 and Z^22, then adds straight C. The image is a harmless one -- just interesting enough to make it worth the calculation time of under 2 minutes, though not quite worth a name or rating. To totally avoid calculation, visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mostly sunny day here at Fractal central on Tuesday was interrupted just after noon by a short snow squall, which dropped about 1/2 inch, 1cm, of fresh powder snow in 15 minutes. The temperature of 34F +1C kept the pavements clear, while the fractal cats grew cranky when the sun vanished. My day was very busy. The next FOTD will be posted in 24 hours. At least it is due to be posted, but check back then to see if it actually does make it. Until next time, take care, and will the politically disappointed please queue up on the right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Quickie_Number-01 { ; time=0:01:54.41-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-1.504735769904624/+0.4027492026933812/\ 6.091e+011/1/115/0 params=1/2/1/22/0/0/0/0 inside=0 maxiter=1500 logmap=115 mathtolerance=0.05/1 colors=000NDWMEUKESJEQHEOFFMEFKCFKB5KA8KAAKADKjmBE\ fVDbSDZQCVOCRMBNKBJIRxCJaEzc4tW6oQ7jL8gB9`BAVCCQDD\ LEEGFFzAOmCL_EIm9zaBtTCjKEUDhGCcGCZGCUGCPGBNGBLGBJ\ GBHG84L96K98JA9IABIBCHBEGmmIchHccHcZHZUHUSHPPGKMGG\ KGDHG7w9kfWkgVkhVaVdSHnJ4wHWzGOpFXmDfjCpgBydGs_KnW\ OiRSdNW_JVaIUbHTdHSeGRgGQhFPiFMlcPeWSZPVSHYMAaLIeL\ QiLYmKeqKmtKtvAqw1oGc5PVCYNIfEPz6VzBZzFazJdzNgzRjz\ VmzZpeQYTIFaQaWP`RO_LNZGMYALXSorTksUhtVduWavWYwXVx\ YRyZOzZLz_Mq_Nh_O__PR_PJcONfNRiNVlMZoMahJXaGTVDOOA\ KH7FA4BE7AIA9MC8QF7UI6YK5aN5eP4iS3mV2qX1u_0ya0xc2x\ e3xg4xi6xk7xm8xoAxqBxsCxuDisEWrEHpF3oF8jGCfGHbHLYH\ PUHUQIYLIbHJfDJh9JmCMrFPvHSzKVzMYzP`zSczUezXhzZkza\ nzdqzftziwzmyzrpzvhzz`zzTzzLzzKGzIDzHKzIIzHHzHGzHE\ zGDzGCzGJzYIzWHzUGzSFzQFzPEzNDzLCzJBzH2zo3zl4zi4zg\ 5zd6zb6z_7zY8zV8zS9zQAzNAzLBzIRzFPzGNzGLzGJzGHzGFz\ GDzGZziXzgVzeUzcSzaRz_PzY } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 22-12-09 (Going in a Circle [No rating])
by Jim Muth 21 Dec '09

21 Dec '09

FOTD -- December 22, 2009 (No Rating) Fractal visionaries and enthusiasts: The discussion will be brief, so the image will have to speak for itself. On the surface, the parent fractal is a huge Mandelbrot set. In its depths it has order-11 characteristics. Today's scene, which is located in a filament extending from the large main- stem minibrot of the parent, illustrates the exponent mixture. The magnitude is a bit beyond the limit of resolution, though the deficiency is barely noticeable. The name "Going in a Circle" is a comment on the circular pattern of elements surrounding the minibrot. The calculation time of 1-1/4 minutes will pass in a flash. A visit to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image will be even flashier. A very typical first day of winter prevailed here at Fractal Central on Monday, with snow covering the ground, lots of clouds, a cold northwest wind and a high temperature of 34F +1C. The fractal cats decided early in the day to keep snug by the heat, and came to life only when they got hungry. My day was even busier than Sunday. The next FOTD will be posted in 24 hours -- unless something unexpected happens, that is. Until then, take care, and what is absolute truth? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Going_in_a_Circle { ; time=0:01:32.32-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip float=y center-mag=-209.7097551146685/+2.156657344824564/\ 1e+011/1/-67/0 params=11/120 maxiter=1500 inside=0 logmap=122 periodicity=6 mathtolerance=0.05/1 colors=000ALUAQWAVYB__9da8hc6le5pgCtiAqk9nm7ko6hq5\ fsCMTJ1bZPhnknPQ`05NBFMLOMVYLdfLnpKxyKzzzIOuOQuUSu\ ZUudWujYuo_uuauzcutljWZk8Mk4Km0IoKKecMWwNNtJLqFKoB\ Jl7Hi3Gg0Fe7IdEKcLMbSOaZR`eT_lVZrXasWdsWgsVisVltVo\ tUrtUttUooZkjbgegb`kZWpVRtO`eHjRAsDAqCApCAnCAmCAkB\ AjBAhBAgBJZLSRU_JbhBkp3tq3sr3sr3ss3st3st3su3su3siE\ rYPqNZpBio0so8opGkpOgpWcpc_pjWpdYqZZqT`rNarHcrBds5\ fs0gsfe9cSYaEvRJoHOh7Ta5MS2363EJ179b0XV0QGV9GUAFTA\ ESBERBDQCCPCCODBNDAMEALE9KF9JFAKIBKKCKMCKODKQEKTFK\ VFKXGKZHK`HKbIKeJKgKKiKKkLKmMKpNKrNKtOKvPKxPKzVQ``\ WCaUDbTDcSDdRDeQDfODfNDgMDhLDiKDjIEkHElGElFEmEEnCE\ oBEpAEq9Eq8EpCGoGHnKImOJlRKkVLjZMzbNzeOziPzmQzqRzt\ SzuRzvRzwRzxRzyQzzQzzQzzQzzPzzPzzPzzPzzOzzOzzOXzOX\ zNWzNWzNWzNYzQZzS_zU`zWazYcz`dzbezdfzfgzhizkjzmkzo\ lzqmzslzrkzqjzpizoiznhzmgzlfzkfzjezidzhczgbzfbzeaz\ d`zc_zb_zaZz`Yz_XzZWzYWzX } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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Apollonian Gasket and other Geometric Art
by Paul.N.Lee＠Worldnet.att.net 21 Dec '09

21 Dec '09

Next time you are walking on the shores of a beach, or hanging out on a dry lake bed, think about what patterns you could draw with a stick or rake. To give you some ideas on that subject, try viewing the various sub-topics at Jim Denevan's web site: http://www.jimdenevan.com/ There are several interesting images under his web page links.. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 21-12-09 (Wil-of-the-Fractal [No rating])
by Jim Muth 20 Dec '09

20 Dec '09

FOTD -- December 21, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's short discussion tells of another very busy day. Today's image lies in the same parent fractal as yesterday's image. Since I found the image almost automatically, I could give it no rating. The name "Wil-of-the-Fractal" refers to the wil-o'-the-wisp, which is actually nothing more mysterious than a slowly oxidizing blob of swamp gas. The calculation time of 1-1/3 minutes is satisfyingly fast, as fast, in fact, as the trip to view the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday here at Fractal Central began with an hour of sidewalk clearing. The rest of the day featured lots of sun, melting snow, and a temperature of 36F 2C. The fractal cats watched from the window with interest as I cleared away the snow. Then they took advantage of the ample sun. For me and FL, the rest of the day was very busy with work. The next FOTD is due in 24 hours. Once again, I can give no assurance that it will actu- ally appear. Until next time, take care, and dream great dreams. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wil-O'-The-Fractal { ; time=0:01:19.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.7550544808/+0.20000454905/165635.2/1\ /-91.5/0 params=-5/-1.5/-1/-5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=77 periodicity=6 colors=0000zz0yy0xx0wv0vtEurRtpVsnYsk`sicsffsdisal\ s_osXrsVusSxsQsoRnlRiiRdfR_cSW`SRYSMVSHSTCPT7MT3JT\ 3LS3PS3UR3XU3cU3ec3gccimckmmmmmkmcimcgm4ec4dc4cY5b\ _5Za5Zb5Zd5Zf6Uh6Uj6Pl6Pn6Kp6JqCIkIHeOG_TFUZEOdDIi\ CChGDhJDgMDgPEfSEfVEeYFeaFddFdgGcjGcmGbpHbsHbvH3d0\ CX2LQ4UJ5bC7k58iBChGGgLKfQNcVM`ZMYbMVfLSjLPnLMrKJv\ KGzKMsNRmQWfS``VeUYjO_oHbtBdiFcZJcONbDRb2Vb9UaFT`M\ S_SS_ZRZdQYjQYumMrkOpjPniRlgSifUgeVecXcbY`a_Z_`XZb\ VYcSWeQVfOUhMTiOWdPZ_QaVRdQTgLUjGVmBWp6Xr2Wo5Vm7Vj\ 9UhCTfETcGSaJRZLRXNQVQPSSPQUONXNLZNJ`MLZLMXKOVJPTI\ RSHSQGUOFVMEXLDYJC_HB`FBaEEeCHhBKlANo9Qs8Tv7Rs9PqB\ OnCMlELiFJgHIdIGbKF_LDYNCVOATQ9RR8Qz7Qz6Pz6Pz5Pz4U\ z3Zz3cz2hz1mt1rv5vr9znCzjGzfKzbNz_RzWVzSzzOzzKzzGz\ zDzzKzzRzzQzzTzzWzzZzzazzdzzgZziYzlXzoXzrWzuVzxVzz\ WzuXzqXzmYziYzeZzaZzY_zU_zQUzT_zXez`kzcezb`zaWz`Qz\ _LzZGzZSzKcz5`z8YzBVzETzG } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 20-12-09 (Minor Miracle [No rating])
by Jim Muth 19 Dec '09

19 Dec '09

FOTD -- December 20, 2009 (No Rating) Fractal visionaries and enthusiasts: Another rush day brings another brief discussion. Today's image lies in the parent fractal that comes about when five negative parts of Z^(-1.5) are mixed with one negative part of Z^(-5) and (1/C) is added. This parent fractal consists of three large bays, vertically-stacked. Today's scene is located on the southwest shore line of the middle bay, deep in the valley that separates it from the lower bay. Most of the effect of the image is a result of rendering the scene with the outside set to 'tdis'. There is no way I could give a rating to an image that I found in about 2 minutes. The name "Minor Miracle" refers to the fact that, with the work stacked up as it is, it's a minor miracle that I found it at all. The calculation time of under 2 minutes will cause no boredom. And the finished image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Winter became quite obvious here at Fractal Central on Saturday, as light snow fell all day and the temperature hovered around 28F -2C. By nightfall about 2 inches, 5cm had piled up. (Curiously enough, about an hour ago I got a phone call from my sister back at Old Fractal Central telling me that the snow there, about 150 miles south of here, is over 16 inches (40cm) deep, and drifted twice that high.) The fractal cats gave the outside little attention, remaining close to the heat all day. The next FOTD is due in 24 hours. But as always, there is no guarantee that it will appear on schedule. So until next time, take care, and be with peace. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minor_Miracle { ; time=0:01:51.49-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.11237331534/-1.335543403876/2.7e+007\ /1/-87.5/0 params=-5/-1.5/-1/-5/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=000zzmjJXbQTVWPOaLGgHQw49mDCkCEiCGgCJeCLcCN\ aCQ_CSYCUWCWVCZTB`RBbPBeNBgLBiJBlHBnFBpDBrCBnFFkII\ hLLdOPaQSZTVVWZSZaPadMcgNahN`iOZjOYjPXkPVlQUlQSmRR\ nRQnPRlOSjNThLUfKUdJVbHW`GXZ8jVFXY13XMJ`ZLefYdmjct\ vcuubuuauu`uu_utZutYutXutWusVusUusUusTurSurRurQurP\ uqOuqNuqMuqLytKuqLqoLmlMijMegNaeNZcOV`ORZPNWPJUQFR\ QBPR7LT8NR8OQ9PO9QN9RLASKATIAUHBWFBXECYCCZBC_9D`8D\ a6C`4Db5Ed5Fe5Gg5Hh5Ij5Jk6Km6Ln6Mp6Nq6Os6QtK_ucivo\ ovyqvysvxvvxxuzvuzsuvptumsulrtlpskosjnrinrimqhmpgm\ pglofloelnekmdkmcklcklajm_imYhmWgmUfnTjnRinPhnNgoL\ foJeoIdoGcpEbpCapA`pAeo9`p8Wq7Sr9UoAVmBWkDXiEYgFZe\ G_cI`aJa_KbYMcWNdUOeSPfQOePOePNePNeOMeOMeOLeOLdNKd\ NKdNJdMJdMIdMIdMHcLHcLGcLGcKFcKFcKCeFFcKIbOK`TN_XQ\ Y`SXeVViVTpXUmYUkZUi`UgaUebUccUaeU_fUYgUWhUUjUSkUQ\ lUOmUMoUKpUIqUGrUEtUCuUAvU8wU6sRBoOGkMLgJQcHV_E_V9\ aWCcWFdXIeXLgoaOmXRlSTkNV } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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CORRECTED FOTD 19-12-09 (PI Minus PI [No rating])
by Jim Muth 19 Dec '09

19 Dec '09

FOTD -- December 19, 2009 (No Rating) Fractal visionaries and enthusiasts: I inadvertently included the wrong formula in the first FOTD for December. This version has the correct formula. A super-rush prevailed here at Fractal central on Friday, but somehow a fractal still happened. One glance at the parameters reveals why today's near-instant image is named "PI Minus PI". The scene lies at the east end of the parent fractal. Despite this very brief discussion, the image may be heard speaking for itself by running the parameter file or by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cloudy skies and a temperature of freezing made Friday a typical winter day here at Fractal Central. The fractal cats agreed. As expected, my day was very busy. Hopefully, the next FOTD will be posted in 24 hours. Until whenever, take care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PI_Minus_PI { ; time=0:01:44.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=+0.3044669924294996/-0.0014260867395823\ /2.677775e+012/1/-30/0 params=3.14159265358979/\ -3.14159265358979 float=y maxiter=1750 inside=0 logmap=196 periodicity=6 mathtolerance=0.05/1 colors=000M14P56R88UBAWECYHE`KGbNIeQKgTMiWOlZQnaSq\ dUsgWujXrhWpfVneUlcUjbTh`SfZRdYRbWQ`VPZTOXSOWVSWYW\ W`_VccVegVhkUkoUnsUqwUszVtyVtxWuwWuwXuvXvuYvuYvtZw\ sZws_xr_xq`xq`ypayoayobtmbpkbkjbghcbgcZecUccQbdL`d\ H_dCYd8Xb9Za9``9aZ9cY9dX9fV9gU9iTAkRAlQAnPAoNAqMAr\ LAtKAuLKpMUlNchOldIgVDbL8ZB3US2P_2Kg2Ej28m23o76kB9\ fFCaJFXNHTRKOVNJZQEbSAZWEWZISbMPeQLiUIlYEpaBse7wi4\ zmAtlGokMjjSdiY_hcVgiPfoKetFduIeuLfuNguQhuSiuVjuXk\ u_kubludmugnuioulpunquqrusrtootlltijtfgscds`bsY_sU\ XsRVrOSrLPrINrFKrCIqFKqHMqJOpMQpOSpQUpSWoVYoX_oZao\ `cmaaka`ia_gaZebXdbWbbV`bUZcSXcRVcQUcPR`QPYRMVRKSS\ HPTFNTCKUAHV7EV5BW39WKBj_Dx`CxaByUx2Zs8cnDhjJmeOm`\ UmXZmSdmNimJomEtzODyQFxSGxUHwWJvYKv_LuaNtcOtePsgQr\ iSrkTqmUpoWpqXosYnuZnw`mxalyblzdkzejzfjzgiziRzTTzV\ VzXXzZZz``zbbzddzffzhhziizbjzWkzQlzJmzDnz6nz0hz2cz\ 3Yz4Tz5Oz6Iz7Dz8azDWzARz7 } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 19-12-09 (PI Minus PI [No rating])
by Jim Muth 19 Dec '09

19 Dec '09

FOTD -- December 19, 2009 (No Rating) Fractal visionaries and enthusiasts: A super-rush prevailed here at Fractal central on Friday, but somehow a fractal still happened. One glance at the parameters reveals why today's near-instant image is named "PI Minus PI". The scene lies at the east end of the parent fractal. Despite this very brief discussion, the image may be heard speaking for itself by running the parameter file or by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cloudy skies and a temperature of freezing made Friday a typical winter day here at Fractal Central. The fractal cats agreed. As expected, my day was very busy. Hopefully, the next FOTD will be posted in 24 hours. Until whenever, take care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PI_Minus_PI { ; time=0:01:44.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=+0.3044669924294996/-0.0014260867395823\ /2.677775e+012/1/-30/0 params=3.14159265358979/\ -3.14159265358979 float=y maxiter=1750 inside=0 logmap=196 periodicity=6 mathtolerance=0.05/1 colors=000M14P56R88UBAWECYHE`KGbNIeQKgTMiWOlZQnaSq\ dUsgWujXrhWpfVneUlcUjbTh`SfZRdYRbWQ`VPZTOXSOWVSWYW\ W`_VccVegVhkUkoUnsUqwUszVtyVtxWuwWuwXuvXvuYvuYvtZw\ sZws_xr_xq`xq`ypayoayobtmbpkbkjbghcbgcZecUccQbdL`d\ H_dCYd8Xb9Za9``9aZ9cY9dX9fV9gU9iTAkRAlQAnPAoNAqMAr\ LAtKAuLKpMUlNchOldIgVDbL8ZB3US2P_2Kg2Ej28m23o76kB9\ fFCaJFXNHTRKOVNJZQEbSAZWEWZISbMPeQLiUIlYEpaBse7wi4\ zmAtlGokMjjSdiY_hcVgiPfoKetFduIeuLfuNguQhuSiuVjuXk\ u_kubludmugnuioulpunquqrusrtootlltijtfgscds`bsY_sU\ XsRVrOSrLPrINrFKrCIqFKqHMqJOpMQpOSpQUpSWoVYoX_oZao\ `cmaaka`ia_gaZebXdbWbbV`bUZcSXcRVcQUcPR`QPYRMVRKSS\ HPTFNTCKUAHV7EV5BW39WKBj_Dx`CxaByUx2Zs8cnDhjJmeOm`\ UmXZmSdmNimJomEtzODyQFxSGxUHwWJvYKv_LuaNtcOtePsgQr\ iSrkTqmUpoWpqXosYnuZnw`mxalyblzdkzejzfjzgiziRzTTzV\ VzXXzZZz``zbbzddzffzhhziizbjzWkzQlzJmzDnz6nz0hz2cz\ 3Yz4Tz5Oz6Iz7Dz8azDWzARz7 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 18-12-09 (Banana-Custard Pie [No rating])
by Jim Muth 17 Dec '09

17 Dec '09

FOTD -- December 18, 2009 (No Rating) Fractal visionaries and enthusiasts: Due to the seasonal rush, today's discussion will be very brief. The image is a scene in a parent fractal that has a Seahorse- type valley where its East Valley would be expected. The scene is located in the northern arm of this Seahorse-East valley. I gave the image no rating but named it "Banana-Custard Pie" for reasons known only to myself. The calculation time of just over 1-1/2 minutes will cause problems for no one. And as always, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a high temperature of 30F -1C gave quite a winterish feeling to the Fractal Central area on Thursday. The fractal cats simply ignored the weather, while my day was very busy. It's hard to say when the next FOTD will be posted. It could be as soon as 24 hours, or perhaps not for 48 or even 72 hours. Until whenever, take care, and be watchful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Banana-Custard_Pie { ; time=0:01:36.95-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip center-mag=+0.154236466007/+0.0053448801364/6e+009\ /1/-7.5/0 params=2.5/-2 float=y maxiter=2400 inside=0 logmap=117 periodicity=6 colors=000thArgAqfApeAndAndAndAndAndAndAndAmeBkdFg\ dJddM`dQYdUUdXQc`NcdJcgGckCco9cr5cv1bz5br6am7_i8Zd\ 8X`9WWAUSBTNCRICSJDTKEVMFXOH_QIaSJcVKeXMhZNj`OlbPn\ dRqgOleMjfKhgIfhHdhFbhD`hBZhAXh8Vh6Th4Qi7Te8Sc9RbA\ Q`BP_DOZENXFMWGLVHKTJJSKIRLHPMGONFNPELMFNCEK6ASh5w\ M2UV2BN18F15702SbRLTKEJD796C5s93e62S31E9lW4OGBNn5B\ PuNaaFPJ7CP_A2ad1SUDTZEY`FbaD`RFgbHnnJuyLowMjvNetO\ `sPVqQQpRLnSGmSIjSKgSMdSObSQ_SSX0OASUVpVzs_nvdbxiR\ qjPkjOdjNZjLSjKMjJN0tGjILr9Qy0Ot6MoBLkHJfMIbSGYX1a\ SFUaLIrTMj`QbgUVoYNv`GqfQmkZhqhdvq_nkWgeS`_OUVKNPG\ GJC9D828uPtiOlZNeNNZCMS1ML9OQGQVOS_VUdbWiiYnNHPRHK\ a1uJ0TjyONVCPWESXGUYIXZKZ_Ma`PcaRfbThcVkdXnf_nf`of\ apgcqgdrgeshgthhuijthgtheshcshasz_rzYrzWqzUqzSqzQp\ zOpzMpzKozIozGnzEozIozLpzOpzQqzTqzWrzZozXlzVhzSezQ\ azNZzLWzJSzGPzELzBLzEKzIJzMIzPIzTHzXGz`FzcEzgEzkDz\ nCzrBzvAzzAzzAzy9zx9zw9zw } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 16-12-09 (Seasonal Greetings [5])
by Jim Muth 15 Dec '09

15 Dec '09

FOTD -- December 16, 2009 (Rating 5) Fractal visionaries and enthusiasts: Another very busy day here at FC on Tuesday put a damper on the FOTD, but I still managed to squeeze out an acceptable, (at least IMO), FOTD. The parent fractal is an everyday Mandelbrot set with two main stems instead of the usual single one. Today's image is located in the chaotic area between the two large minibrots on the two main stems. The result rates an average 5. The name "Seasonal Greetings" is a slight variation of that over-used holiday greeting. And the calculation time of a minuscule 12 seconds will bring all the joy usually associated with this time of year. Extra happiness may be achieved by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A rather pleasant December day here at Fractal Central on Tuesday was spoiled by a lack of sun. The fractal cats took the missing sun as a sign of cold temperatures, though it actually reached a high of 48F 9C. My day was once again quite busy. The next FOTD is due in 24 hours. I say it is due because I can give no guarantee that it will actually appear. Until whenever, take care, and who are more often right, believers or skeptics? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seasonal_Greetings { ; time=0:00:12.56-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.772974481640345/+0.0033034642521877/\ 118822/1/115/0 params=0.35/120 float=y maxiter=400 inside=0 logmap=30 periodicity=6 colors=0001KJ8OHERFKUEQXCX_Abb9he7nh6un6zt6mn9eiCb\ dF__IXULUROROROQTNMUNOUNLZIMZDMZPW``eTkoLhlLfiLcfL\ acLz`LzhLzVLzmLzVJzmIzZGzmFzbDzdCzfAzh9zdHzaPzZWzV\ czSjzPrzMyzQqzTjzWczZXzaQzVMzPIzJFzGJzEMzCPzASz8Vg\ 6Yi4`zDRzCHzB7gFajJgmNmeOlZPkSzkLzjEzizzizSezTazzY\ zzVzzREzNzzKzzXzzIzz3zz7zzBzzFzzJzzNzqQzqRzqSbqTdq\ TeqUgqVhqVksQnuLqvGtxBvy6sz4qz2rz3rz3rz3rz3rA3q97p\ 8Ap7Eo6Ho5Ki9OcDRZHVTLYNPaITdbERv0Ejf1uqatratsatta\ ttatuatvatwatwafzWezSdzOdzKczHczDbz9bz6ez5gz5jz5lz\ 4oz4qz4pz8ozBnzEnzHmzFlzDkzCkzAjz9iz7iz6hz8gzAfzCf\ zEezGdzIdzJfzMgzPizSjzVlzYmz_kzcizg_zcRz_IzW9zS0zO\ 9zWIzcRzk_zrhzsqztrzorzkrzgszcsz_szWszSpzYnzclzijz\ ogzqezsczu`zwZzyXzzPzvHzsOzoUzl_ziezfkzcqz`kzbezd_\ zfVzgPziJzkEzlAzm7zn3zo0zoBziMzcWzZYzQ_zHaz8bz0cz4\ cz8KzHIzMHzQGzVFzZEzbDzgCzkBzoHzZNzITz2Nz7HzBBzF5z\ J0zNLzaSzcOz_JzXEzTAzQ5zM } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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Latest Versions of Two Programs...
by Paul.N.Lee＠Worldnet.att.net 15 Dec '09

15 Dec '09

Paul de Leeuw has made available the latest beta of ManPWin v3.00 (1-MB), which was recently released on Saturday, 12th of December 2009. http://www.deleeuw.com.au/ ManPWin is a free program based loosely on FractInt but is a full 32-bit program with true colour support. ManPWin now offers animation scripting. Several new fractals have been added. Raymond Filiatreault has also upgraded his FIntMap to v1.40, with different downloads based upon the type of Help file one wishes to use. http://www.nahee.com/Software/+FIntMap/ FIntMap is a FREEWARE color .MAP file generator for use with FractInt and other applications capable of handling similar color palette files. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 15-12-09 (Much Enlightenment [Rating 3])
by Jim Muth 14 Dec '09

14 Dec '09

FOTD -- December 15, 2009 (Rating 3) Fractal visionaries and enthusiasts: To begin, there is no FOTD for December 14. I was simply too busy. But, if you look closely, you might find one for December 15. The name "Much Enlightenment" came to mind while I was watching the 'climate' conference on Monday, where I saw far too much politics and far too little constructive discussion. I saw a lot of griping by demonstrators from third-world countries but not a single word about the earth's over- population, which is one of the leading causes of the climate problem and has largely been brought about by the high birth rates in these third-world countries. And to top it off, I saw demands for reparations from the industrialized nations to the poorer countries, as though the industrialized nations were responsible for every drought, flood and cyclone in the world. The climate conference is craziness at its pinnacle, and will probably go down in history as the event where our civilization "jumped the shark". As for today's image. Check it if you must, in all its depressing unglory. It rates a measly 3 and calculates in under 4 minutes. As always, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds were thick here at Fractal central on Monday, but the temperature reached 45F 7C, which kept the fractal cats satisfied. My day was unusually busy. The next FOTD is due to be posted in 24 hours. It might make it. Until then, take care, and we'll do nothing about the climate situation because to fix it we would actually have to do something. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Much_Enlightenment { ; time=0:03:44.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.818818132547401/+0.00112457049183555\ /1e+013/1 params=2.05/200 maxiter=1500 inside=0 logmap=436 periodicity=6 mathtolerance=0.05/1 colors=00001L00K00K00J00J00J00I00I00H00H00G00G00G0\ 0F00E00D00C00B00A1193385B77E69E68G58K48N37O37P27P1\ 7P16K06K06P05U05U05U02U05U07K19K6BLBDLGDMLFLLHKLJJ\ LKOLMNLOMLPMLRLLTKMVJNWGOYDP_AQ`7R`4S`1T`0UZ0VX0WV\ 0UT0RR1PP4NN7KLAIJDGHGDFJBDM9BP69S47V26X0EW7MVEUUL\ `UR0RM0PJ0OG0NE0MB0L80K60J30I00H00G00F00E00D00B00C\ 00D00E00F02G06H0AI0EJ0HK0IL0IM0IN0IO0IP0IQ0IR0IS0I\ T0IU0IV0IV3KXALZFM`KNbPRdUYfZajcqvrvzvzzzzzzzzvzxr\ uvmtshsqcrocqmcokZmiZkgUieKgcKeaAZV5SO0PK0MG0JD0GA\ 0F70E60D50C40B30A30A20A10A00A00A00A00A00A00A00A00A\ 00A00A00A00A00A00A00A00A00A00A10A30E60H80KA0NC0QF0\ TH0WJ0ZL0QN0IP2AR92TG0XN0UN0SN0PN0NN0KN0IN0FN1DN2A\ N38N55N63N70N80N90NA0NB0NC0ND0NE0NF0NE0LD0KC0JB0IA\ 0G90F80E70D70C60A509418337255zp4zp3zp2zp1zp4zp6zp9\ zpBzpDzpGzpIzpLzpNzpPzpSzpUzzXzzZzzbzz`zzZzzXzzWzz\ VzzUzzUzzTzzSzzSzzRzzQzzQ } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 13-12-09 (A Nameless Wonder [Rating 4])
by Jim Muth 13 Dec '09

13 Dec '09

FOTD -- December 13, 2009 (Rating 4) Fractal visionaries and enthusiasts: As expected, an antiquing trip arose from nowhere on Saturday, and by the time the adventure was over, it was too late for a proper fractal search. Today's image came about almost automati- cally, which is why I could rate it no better than a below- average 4. The parent fractal is a Mandelbrot set, or more accurately, the east half of a Mandelbrot set. Today's image is found in the partially eroded East Valley area of this parent fractal. The name "A Nameless Wonder" might itself be considered a name, creating an apparent logical paradox, but then everything I say is untrue, so why worry ourselves about it. The calculation time of a little over 4 minutes is not at all too much time to expect the ardent fractalist to devote to the calculation. Those who eschew ardency may see the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday was near-perfect here at Fractal Central, but FL and I were away all day, so I can only assume the fractal cats enjoyed the sun and temperature of 36F 2C. Sunday began with light rain and a sheet of ice covering every- thing in sight. In the afternoon the temperature rose just far enough above freezing to melt the ice, and then the setting sun broke through the clouds to end the day in a non-violent blaze of glory. The fractal cats took the day's weather in stride, keeping within a quick dash of the heat, of course. For me, both days were quite busy with Christmas stuff. The next FOTD is due in a couple hours. Needless to say, it will not be posted on time. Until whenever, take care, and bet your money on the warming side of the climate debate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Nameless_Wonder { ; time=0:04:10.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.5369898503765231/-0.0075585034549495\ /2.794713e+010/1/-87.5/0 params=1.75/1 passes=1 maxiter=2500 inside=0 logmap=392 periodicity=6 colors=000RTUgOVbMRXKMRIILDFMGENJDNMDOOCORCPUBPWBQ\ ZARa9Rd9Sf8Si8Tl7Ws8Tn7Rj7Pf7Nb7LZ7IU6GQ6EM6CI6AE6\ 8A6997A87A88B78B78C69C69D59E4AE4AF3BF3BG2BG2CH1CH1\ CJH9LW6Dp4Mj3Ve3c`2lW2tR2rW3p_4nd4mh5km5iq6gt4hu6h\ t8hsAhqChpEhoGhmIhlJhkLhiNhhPhgRheThdVhcWl_OpXGtT8\ xQ1wP4vP7uPAtPDsOGrOJqOLpOOoORoNUnNXmN_lNakNdjMgiM\ jhMmgMpgMqgMrhOphQohRmhTlhUjhWihXghZfh_dhachbbhd`h\ f_hgYhiXhjVhlUhmShoRhpPhrOhsNcqQ_pTWoWSnZOm`KkcGjf\ Cii8hl4gn6ek7ci8bfA`dBZaCY_EWXFUVGTSIRQJPNKOLUMRcL\ WmKawJfhcjVwzUxzTxzSxzSxzRxzQxzPxzPxvOxrNxmMxhMxdL\ x`Kx_JxZJxYIxXHxWGxVGxUKwVNvWQuXTtYWsZZr_bq`epahob\ kncnmdqleumdtleslerkfqkfpkgojgnjhmjhliikiijijihjhh\ kggkfglegldfmcfmbfnaen`eo`gq_eo_cmZalZ_jZYiYWgYUzX\ SzXczWczXczYczYczZcz_cz_cz``zabzadzbfzchzcjmdloenp\ zpzfrzztziwzzyzfxzzzzczzzzzzzmzzkzzjzz_zz`zzazzbzz\ czzdzzezzfzzgzzhzzhzzczz_ } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 12-12-09 (The Unexpected [Rating ?])
by Jim Muth 12 Dec '09

12 Dec '09

FOTD -- December 12, 2009 (Rating ?) Fractal visionaries and enthusiasts: Today's image lies just beyond the large minibrot on the infinitely-divided main stem of its parent fractal, which closely resembles a Mandelbrot set, but is actually a mixture of Z^(2) and Z^(2.05). I named the image "The Unexpected". Unexpected things often turn up in fractals, but I doubt that I have ever seen an image with as much varied and seemingly unconnected stuff lying around. A minibrot does lie at the center of the image, but unfortunately it is well beyond resolution. I was totally puzzled as to how to rate the image. I finally let it go with a rating of a question mark, which means the viewer's guess is as good as mine. With so much variety in the image, I found it near impossible to color satisfactorily. Feel free to tweak the colors. A better palette might exist, though I lacked the time to find one. The calculation time of under three minutes will give the eager fractalist just enough time to prepare himself for the image. A bit of preparation is also recommended for those who choose to avoid calculation by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I think FL is finally coming around. We were watching the news at lunch on Friday, when a report about climate change came on. After hearing of the dissenting opinions about global warming, she asked if I thought we actually have the power to change the earth's climate. Not wanting to get into a debate with so much graphics work yet to be finished, I answered 'probably not'. But the comment got my philo-political juices flowing, so expect a bit of political musing in the not-too-distant future. Partly cloudy skies, biting winds and a temperature of 25F -4C made Friday a day to forget here at Fractal Central. The fractal cats forgot the weather before the day even began, and spent most of their time seeking the warmest spot around. My day was rather busy. The next FOTD will be posted in 24 hours. It is due to be posted then, but whether it appears on time is up to fate. Until the next time, take care, and let me know when the greenies start discussing the real environmental threat -- the earth's over-population. When they demonstrate that they know what the greatest threat to man's survival is, then I'll start taking them more seriously. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Unexpected { ; time=0:02:55.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.818818157659613/+0.00112446375588527\ /2.128045e+012/1/75/0 params=2.05/200 passes=1 maxiter=1500 inside=0 logmap=245 periodicity=6 mathtolerance=0.05/1 colors=000X7PY5TZAV_EW`IXaMZbQ_cV`dZaebcffdgjegnfd\ jbaf__bXXZTUVQSRNPNKMJGKFDHBAF77K8MP9`TAnRBlQBkOBi\ NBhMCfKCeJCcICbGC`FD_EDYCDXBDVADU9HV8LV8OV7SV6WW6Z\ W5bW5eW8`YAW_CSaENcHJeJEgLAiN5kP1lR2lT3lU4lW4lY5lZ\ 6l`6lb7lc8le9lg9lhAljBlkBllDkmFknHkoJkpLkpMjqOjrQj\ sSjtUjtViuXivZiw`ixbixciwh_wmRwrHwv8sqBolDkhGgcIc_\ L_VNWQQSMSOHVKDXG8_C4aLGXURSbbNkmIsxEovGktIgrJcqL_\ oNWmOSkQPjRK_UGQXCGZEFXFFWHFUIFTKFRLEQNEOOENQELREK\ TDIUDHWDFXDEYDDdRL_UMWXMSZNNaNJcOFfOAhP6kP2mP3aR4R\ S5GT65UPNTgdTeeVcfWbfX`gY_gZYh`WiaVibTjcSjdWibZh`a\ g_dfYgeWjdVmcTpcSoaUn_WnZXmXZlV`lUahXdeZgb`j_bmXdp\ UfsW`nYViZPd`J_bDVc7QbDSbIUbNWbSXbXZba`bfbbkcZXSVI\ GS35R78QBBPFEPJHUNKZRNcVQhZTmbWrfYweZweZwg_ri`mkaz\ mbcrbzvczzdUzeVzfWzfzzgYzhZzi_zzkzzjzzhzzgzzzzzdzz\ bzzazzzzzazzazzazzbzzbzzbzzbzkczkczkczkczldzldzldz\ mdzmezmezmeznfznfznfzofzo } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 11-12-09 (Pentagram Panic [5-1/2])
by Jim Muth 10 Dec '09

10 Dec '09

FOTD -- December 11, 2009 (Rating 5-1/2) Fractal visionaries and enthusiasts: Today's image rates a 5-1/2, with 1/2 of this for the coloring, which after all makes the entire image. The parent fractal is a quadratic Mandelbrot set caught half-way through the process of changing into a quintic Mandelbrot set. A small bud lies on the X-axis at the east end of the main bay, with a tiny valley at the east side of this bud. Today's image lies on the north side of this tiny valley. I named the image "Pentagram Panic". The orientation of the white 'star' at the center is halfway between that of the fabled star of Bethlehem of true believers and the occult pentagram of the minions of the forces of evil. The ambiguity could cause panic in both camps. The calculation time of a mere 38 seconds is incredibly fast for an image that hints at a cosmic struggle between good and evil. But why worry about good and evil, and battles in the sky, when the image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The ample sun here at Fractal Central on Thursday was negated by a biting northwest wind, a temperature of freezing and a few decorative flurries of snow. The fractal cats forsook their sun- shelf early and spent the day by the manmade heat. My day was average. The next FOTD is due in 24 hours. And it probably will be posted then. Until next time, take care, and see you soon. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pentagram_Panic { ; time=0:00:38.18-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.5239269183467944/+0.0000027981318879\ /1.130243e+012 params=5/-5 maxiter=1500 inside=0 logmap=107 periodicity=6 mathtolerance=0.05/1 colors=000K7KK9NKBQKDTHFWEHZBKb8Nh5QrPYzzzzWcz6_z5\ Wz5Sz5Oz5Mz5Nz5Nz5Oz5Od6Pb7Pa7Q_8QZ8RY9RW9SVASUBTS\ BTRCUQCUODVNDVMJSOOPPUNRZKScHUiFVnCXsAYo9Vl8Th8R1D\ 6e7Pa6NZ6LV5JS5HO4EL3CH3AE28A16714302FH_ABO55CzBKz\ ZIz9Hj8Ff7Eb7CY6BU5AQ48L37H35D24812401wrTkgN_XHOMB\ CB5cgIQTCDE6Vp4Sl3Qh3Oe3Ma2KZ2IV2GS2EO1CL1AH18E16A\ 0470230k3mg2id2e`2bY2ZU1WR1SO1PK1LH1HD0EA0Az073z3b\ lzzJ29z18GzzF17z16CzzB15z148zz703z025zz30120010Ixs\ g3ka2eX2_R1UM1OG1IB0C506EOLDMJCLIBJHAIF9GEAlAEgEHc\ JKZOOUSRPXUL`WLaXLbYLbZLc_Ld`LdaLebLfcLfdLgeLhfLhb\ Pj_SlXVnTZoQaqNdsJhtGkvDnxAqyFpqKoizzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzSzSVzPYzM_zKbzHez\ EgzChzFizHjzJkzLlzOlzQmzSnzUozXpzZqz`qzbkzVfzN`zFW\ z8Zz7az6dz5gz4jz3mz2oz2IzbRzXZzRfzLnzFjzLgzRdzWaza\ ZzgWzlTzrQzwVzs_zoczlhzhmzdqzavzYzzVuzWpzXkzYfzZbz\ ZgzakzcozfszhgzbXzXMzRBzL } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 10-12-09 (Old and New [No Rating])
by Jim Muth 09 Dec '09

09 Dec '09

FOTD -- December 10, 2009 (No Rating) Fractal visionaries and enthusiasts: In times of distress, I turn to the Mandelbrot set for a fractal that if not great, is at least acceptable. When an unexpected rush developed on Wednesday, the Mandelbrot set did not let me down. I checked the Seahorse Valley of a tiny minibrot well out on the main stem and found today's scene showing an even tinier minibrot. I named the image "Old and New". The parent Mandelbrot set is old, though the particular minibrot at the center of today's image appears here for the first and probably last time. I gave the image no rating; a 7 would have been about right however. Since the image requires arbitrary precision math, it is a slow one, taking 20 minutes on a fast 2000mhz machine, but the wait may be eliminated by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted for quick relief. About 4 inches, 10cm of snow fell Tuesday night here at Fractal Central, but it ended Wednesday morning as rain, leading to a cloudy afternoon with a temperature of 42F 6C which turned the fluffy stuff into a mess. The fractal cats, chilled by the sight of so much slush, spent the day near the heat. My day was unexpectedly busy; tomorrow is likely to be the same. Until next time, take care, and we want no government-run health care program, but they had better not touch our medicare benefits. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Old_and_New { ; time=0:20:12.07-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.9963788118537\ 50852935/1.295168560562285e-7/9.777199e+017/1/-75/0 params=0/0 float=y maxiter=16000 bailout=9 inside=0 colors=000GxRGxRGwRGwRGvRGuRGuRGtQGtQGsQGrQGrQGqQG\ qQGpQGoPGoPGnPGnPGmPGlPGlPGkPGkOGjOGiOGiOGhOGhOGgO\ udhsegrefqefpee_9tY8tX7t_BqaFncJleMigQfiUdlYan`Zpd\ XrhUtlRvoPtiOscOrYNqTNoNMnHMmBLl6Ln5No5Op4Pq4Rr3Ss\ 3Tt3UxSWwWUwZSwbRwePviOvlMvpLvsJvqIsoJplJmiKjfKgbL\ c_L_WMWSMSONOKNLHNKJMJLMJNMIPMHQMGSMEUMCWMBYM9ZM7`\ M6bM4eM2hQ1jU5lZ8mcCnhFmmJmmMlmQlmTkmXlm_lmccznmzz\ nzznzznzzmzzmzzmzilzhlzflUekWckYLbPLaPL`PL_PKZPKYP\ KXOKWOKVOKUOKTOKTOJSNJRNJQNJPNJONJNMJMMILMIKMIJMII\ MIILIHLIGLIFLHELHDLHCKHBKHAKH9KH8KF7LH8KI9JK9ILAHN\ AGOBFQCERCDTDCPDBREASD9SEASEBSECSEDSEESEFSEGSEHSEI\ SEJTEKSELSEMSENSEOSFPSFQSFRSFSSFTXFUXFVXFWXFXXFYXF\ ZXF_XF`XFaXFbXFcXGdXGeXGfXGgXGhXGiXGjXGkXGlXGmXGnX\ GoXGpXGqXGrWEsXFrXGrXHrXIrXJrXKrXLrXMrYNrYOrYPrYQr\ YRrYSrYTrYUrZVrZWrZXrZYrZYqZZqZ_qZ`q_aq_bq_cq_dq_e\ q_fqMhRMgQMfQLeQLdQLcQLbQ } END PARAMETER FILE=========================================

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FOTD 09-12-09 (Star of Attraction [7])
by Jim Muth 08 Dec '09

08 Dec '09

FOTD -- December 09, 2009 (Rating 7) Fractal visionaries and enthusiasts: Until the problems with the philofractal list, whatever they may be, are solved, I have again stopped posting the FOTD to both lists. I'll resume posting to the philofractal list when, if ever, it is again working in a convenient manner. The star in today's image is entirely an artifact of the coloring, but it is so attractive that I decided to grant it the status of FOTD for December 9. The parent fractal was created by mixing 1/10 part of Z^(18) with one part of Z^(1.8) then adding straight C. This parent is shaped like a very rough Mandelbrot set rotated 180 degrees, with a large minibrot on its east side. Today's scene is located near the limit of the curving main stem extending from this minibrot. The name "Star of Attraction" came to me when I opened the dictionary to a random page and picked the first word that seemed appropriate. I have no idea what, if anything, it has to do with the actual image. The rating of a 7 seems about right. If I were feeling generous, I might give the image an extra half point, but I'm not in the generous mood, so the rating of a 7 will stand for all eternity. (however long that is) The calculation time of 1/50th second under 3 minutes will pass like a breeze in the night for all but the restless. The restless few may find relief on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image has been calculated and posted for total satisfaction and instant happiness. Despite dire weather forecasts, Tuesday turned into a rather pleasant day here at Fractal Central, with lots of sun and a temperature of 42F 6C. But the dire forecasts are still in effect, so we'll see how things go later tonight. The fractal cats had no problems with things. They simply slept through all of it. My day was about average. The next FOTD, average or above, will be posted in 24 hours. Until then, take care, and do I take the threat of man-made global warming seriously? I sure do. Rumors of it might cause some naive people to do some silly things, like pass some silly laws that will have no effect on warming but certainly will make life more difficult for everyone, and are sure to be repealed as soon as the next financial crisis arrives. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Star_of_Attraction { ; time=0:02:59.98-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.2542821941133043/+0.1214272699324589\ /8.29406e+010/1/-52.5/0 params=1/1.8/0.1/18/0/0/0/0 float=y maxiter=1200 inside=0 logmap=97 colors=000NbTEaSHZUKWWNSYQPZTL`TI`SFYSCTQ9KM5LI0Bz\ N0rP2nU4pU6rY8td9rgFpiKnkQmmVkp_iregtjfvoavjXvfSvb\ OvZRtWUrUXpS_nQblOejMgfNicNk`OmXOoUPpRPiWPb_PWdPPh\ PKiKIlPHoTFrXEu`DxdZZPsAAtEOtI`tMmtQzqSynUxlVxiXwf\ Zvd_vTXxIVzOmfMigLehJahIYiGUjFQjDMknKrCIkGJhJJfNKd\ QKbTL`XLZ_MXbMVRIXONobV7RNLBWRhEoUFfbEZXFYRFYLFY7h\ qf5c_8aTA`MDZqKodIiSGcwdQkYS`SUQLWcsCXhIRZNLPTle7c\ ZEWSLNLSWzGRnLNbPJRUCUKEMRwSlhNgUJbQXPMRSILVinKaeO\ UXRMOVx1al5`a8_QCZL96JBDICKGERNenLZiJSeHLa2qX6gY9Y\ Y6w_uSTeacRknCuxAjq8_k9Oa7Pe6Ph5Qk4Qn3Rq2Rt1RwDVqP\ Zl`bglfbxhdwiYvjSvkMulGulArgEpbImYMkTQhUUfUYcUpdU`\ eUMfX7c_BabEZeHXhKUkOSnRPqUNtXZwKzz8zzBzzDzzGzzIzz\ LzzNzzfzzbzz_zzXzzzzzUzzTzzSzzAXzBTzBPzBIz6LzBNzGP\ zKSzPUzTWzYYzaZz__zY`zW`zUazSbzQczOczNKzb0zq5zrAzr\ FzrKzsPzsTzsPzmMzgJzaGzWzzeDzQEz`EzjLzfRzbXz_bzWhz\ SnzPtzLzzIszKlzMfzO_zPUzR } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 08-12-09 (Slightly Askew [8])
by Jim Muth 07 Dec '09

07 Dec '09

FOTD -- December 08, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's image is named "Slightly Askew". The name does not refer to the image. It refers to the thinking of those who are on a media-induced quest to save the earth from the presumed imminent disaster of man-made global warming. Today's FOTD is a lot hotter than the temperature rise. The image shows a minibrot and its orangeish elements on a dark blue background and surrounded by a field of scattered debris, almost resembling a galactic cluster of stars. In my opinion, the rating of a 8 is a bit exaggerated, though some might consider it about right. The parent fractal is a Mandelbrot set with large fir-tree shaped holes at the end of its filaments. Today's scene is located in the East Valley area of this parent M-set. The unusually brief calculation time of under 45 seconds makes running the included parameter file almost a pleasure. Absolute pleasure may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted. Heavy clouds and occasional snowflakes prevailed here at Fractal Central on Monday. The temperature hovered around 34F 1C, which made topcoats the order of the day. The fractal cats made the heat source the order of the day. The work was finished just after lunch, which made me happy. The day's fractal turned out to be acceptable, which increased my pleasure. FL, who cannot suppress her instinct that the earth needs to be saved from global warming, was made unhappy when she heard about the 'climategate' scandal on the midday news. But regardless of the future temperature or ocean levels, the next FOTD will be posted in 24 hours. Until then, take care, and run for your lives. We'll soon be under 30 feet of water. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Slightly_Askew { ; time=0:00:44.91-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-2.85080791053/-3.007770059655/2.8e+008\ /1/19/0 params=1.5/1.618/1.5/16.18/0/0/0/0 float=y maxiter=500 inside=0 logmap=75 periodicity=10 colors=00020K10K00K40MBAQI9WPMcXcadt_zzzzzmzzcmzUm\ vOmpLzmIzcFU_U_WceRmlMwsIwzOUzZ0zb0zZ0zU0zQ0rB2pC5\ oE7mF9mFChHEcIHcKKcKL7hH5oCwvEzyFwqFReHXdHaIIgHIlE\ KsCUzBzz8czcczUmzUPzURzUTwUUtUWoIXlKZgMadOc_PdXTeT\ UgPXiLZjI_lIZlIWlBTg4Pc0PZ0PK0PK0PK0Pz0Pz0PzIIK09K\ 0BK0Bz0Bz0Cz0Cz1Ez1Ez1Ez1Fz2Fz2Fz2Hz2Hz4Iz4Iz4I_5K\ _5KK5LK5LK7LK7MK7MK7Mc8Oc8Oc8Pc8Pc9Pd9Rd9Rd9RdBTdB\ TdBUeBUeCUeCWeCWeCWgEXgEXgEZgEZgFZgF_iF_iF_iHaiHai\ HdjHggIjdLnaOqZRtWUtTUtPUtITtBTt4Tt1Rt2Rt5Rt7Pt9Pt\ BPtEOtFOqIOnKMjMMgOMdRLaTLZWLWXKW_KXaK_dPacXcadd_l\ dZtdXzcWzcUycTwcTtcUscWqcWncXlcZicZgd_dd_cda_dcZdc\ XddUdeTdePddXdXdcPlhItmBwr4vv0vz0tz0tz0sz0sz5qzAqz\ FozKnzPnzUlzZlzcjzhjzmizrizvgzzgzzezzdzzdzzczzczza\ zzazz_zz_zzZzzXzzXzzWzzWzzUzzUzzTzzTzzRzzRzzPzzOzz\ OzzMzzMzzLzzLzzLzzKzzIzzKzzIzzIzzIzzIzzIzzIzzIzzIz\ zIzzIzzIzzIzzIzzIzz5zq4zo } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 07-12-09 (Caught in the Act [5])
by Jim Muth 06 Dec '09

06 Dec '09

FOTD -- December 07, 2009 (Rating 5) Fractal visionaries and enthusiasts: The parent of today's image arose when I calculated the formula Z^(1.8)+C at a level of 27.5 turns up the logarithmic hyper- spiral. This parent is shaped somewhat like an ant taking a bow toward the southwest. The ant has a drop of . . . let's call it honeydew . . . clinging to its tail end. Today's scene is located in a valley in this drop of honeydew, which of course is actually a rather large minibrot. I named the image "Caught in the Act", leaving it to the viewer to decide the exact nature of 'the act'. And then I rated the whole thing at a rating of a perfectly average 5. There have simply been too many similar images in the past to rate today's any higher. The calculation time of under 5 minutes could bring stress to fractalists with restless legs, so to avoid 'R.L.S.' I suggest surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying the effortless fractal pleasures there. The sunny weather here at Fractal Central on Sunday was spoiled by brisk winds and a temperature that never rose above 34F 1C. The fractal cats ignored the outside conditions and concentrated instead on finding good sleeping places. My day was average. The next FOTD, hopefully well above the average, will be posted in 24 hours. Until then, take care, and if one continues devouring the mass media, they might eventually learn something. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Caught_in_the_Act { ; time=0:04:51.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.9556232624804515/+0.5917338580384347\ /9.539061e+009/1/-30/0 params=1.8/0/27.5/0 float=y maxiter=8000 inside=0 logmap=408 periodicity=10 colors=000VpZToYSnWQmUPlTNkRMjQKiOJhMHgLGfJEeHDdGB\ cEAcD9cG8dI7fK6gM5hO4iR3jT2kV1mX0oZ0p`6lYBhWGdUL`R\ QXPVUN_QKdMIiIGnEDsABx79uAGsCNqFUnH`lKgjMnhOueRrbT\ o_VlYYjV_gSadQdbNf_KhXIjVOdWU_W_UXePXdMYcJZbH_bE`a\ Ba`9b_6c_4ccDfgLikTlo`oshqqfnpdlocjnahm`flZdkYbjW`\ hUYgTWfRUeQSdOQcNObLMaKKdNMgQOiUQlXSn_UqbWseYvg_uh\ aufZsdXqbUo`SmZQkXNiVLgTJeRGcPEaNC_L9YJ7WH5UF8TDAS\ BCR9DQ9EO9GN8HM8IL8JK7KI7MH7KG6KF6KE6K75K000000000\ fU5kU6pU8uU96UuQUeiURdU`xU9uURrUhpUzSUZ3U7QUKkUW_U\ VOUVCUV04VF7XUAZhCnmDysEzzFz20K5KX8biBUu9Uk8Ub7UUa\ EPiNLzWIzcF4U9xVRqOLzHFkB996NU9EK7IAUNFUbBU_7UX3UU\ 8UU6UT4US2BR6JV3BThUaUbYFLUCUJxHzUUmfZmBcm8hm5mm2r\ z9v04zzlz0XzzMzmBzzpzcZzzHzVGzzzzezz`zzWzzRzzRzzSz\ zRzzRzzzzzzzzzzzzzzzzzzzzzzzzrzz_zzIzzKzzhzzXzzMzz\ BzzpzzbzzQzRDzRkzZWzWGzTPzLGzN8zP_zVOzTCzSRzDKzHDz\ K6zORzFKzIDzL6zOszWYzbWz` } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 06-12-09 (As Low As One Can Reach [5])
by Jim Muth 05 Dec '09

05 Dec '09

FOTD -- December 06, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's hasty image is an example of what happens when the bottom falls out of the exponent of Z. Today's exponent is 1.075, which is pretty close to being linear. But as the image shows, when the iterations pile up, close to linear is quite far from being totally linear. The parent fractal of today's image was created by the formula Z^(1.075)+C as it appears 18 levels up the logarithmic ladder when no function is applied. This fractal is little more than an oversized parabolic shaped hole with areas of chaos at its southwestern extremity. Today's image is located at the edge of this chaos. As for the image itself, there is little that can be said about it and the rings of debris that surround the tiny minibrot at the center. Due to its lack of a defined theme, it rates only a 5. The name "As Low As One Can Reach" refers to the unusually low exponent of Z. The calculation time of just over 3 minutes is a bit more than the image is worth, though it still might be worth a try just to see what a minibrot of such a low order might look like. A better way to see the scene is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there without the chore of calcula- ting the parameter file. Snow fell all day here at Fractal Central on Saturday, which gave the fractal cats a chill, but the falling flakes held just enough interest to keep them in the window that serves as their TV. The freezing temperature kept the humans on the street well wrapped however. By day's end about 2-inches, 5cm of snow had piled up. My day was troublesome. FL was moody because the weather was too bad for us to go on the antiquing trip she had planned. I was moody because the furnace cut out a couple times, and it looks like a service call might be needed. But whatever might happen, the next FOTD will be posted in 24 hours. Until then, take care, and search for the cosmic hypersphere. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AsLowAsOneCanReach { ; time=0:03:04.42-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-14.9460780195969/-2.324758143896453/\ 2e+010/1/-162.5/0 params=1.075/0/18/1500 float=y maxiter=3600 inside=0 logmap=253 periodicity=10 colors=000hVuiUukTulcUmcVmaTmZRmWOmTMmRKmOHmLFlICd\ EDXAFO5HS6JX8LaANfCPkERpGTuIVzKXuJYoH_iF`cDbZCcTAe\ N8fH6htf9ncDh_HaXLWTQPQUJMYCIbIIdOHgUGj`FmfFplEsrD\ vyCylKuZSqM_m8ghEgeKfaReZXdVbcRibOoaKv`GteGqkFopFl\ vEPjN1ZW2VW3RW4NV5JV6FU4_h1uwGsiVpWjmHjnJjoLjpNjrQ\ jsSjtUjuWiwZip_ii`iaahVchOdhGeh9fg1hc7i_DjWJkSQmOW\ nKaoGgpCnrx8lt7fo6`j5Ve4P`2JaLNccScaQbZNJmBNnIRoPW\ pV_qacrhgrnaipW`qQTsKKtECuj8LiAOiCQhEShGUgIWgKYgM_\ fOafQceSeeUgdWidYkd_ma_iZ_eW_aU_YR_UO_RL_NJ_JG_FD_\ BB_8HYCMXFRVIWUM`SPeRSjQVkPTlORmNPnMNoQLpUJqXHr_Gs\ aEtcCufAvh8wm6xr4yv3EzWGzXHzYJzZKz_zzzNzzzzzQzzRzz\ zzzUzzzzzXzzZzzzzz`zzzzz6zzAzzzzzzzzzzzzzzzzzzzuzz\ tzzsozrwzqzzphzsZzuXzpVzlUzhSzdRz`PzXUzTczNmzZrzZz\ zZzzZIzq3zpBzfIzuPzuWzuVzuUzuTzuSzuRzuQzuPzuOzuPzu\ QzuRzuOzuMzuKzuLzuMzuNzuPzuQzuRzuSzuTzuVzuWzuXzuYz\ u_zu`zuazubzuczuezufzugzu } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 05-12-09 (Three Dimensions [No Rating])
by Jim Muth 04 Dec '09

04 Dec '09

FOTD -- December 05, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's image is a pure test. Since 3-D fractals are becoming the trendy rage, I decided to see what I could do with the type=julibrot fractals of Fractint. The image is but a slight change from the julibrot default image, so I could give it no rating. But hopefully, as I become more familiar with how this type works, I'll find some far more interesting images. Today's scene lies in the vicinity of Scepter Valley of the Mandelbrot set. I have yet to figure out the angle of the slice. I have also yet to figure out what most of the julibrot parameters do, but a bit of experimentation should shed some light on the confusion. And there are also the two "Fractal Creations" books, which I believe have sections about julibrots in them. I naturally could give no rating to an image that is a total experiment. The name "Three Dimensions" is more a wish than an accomplished fact. The calculation time of under 5 minutes is a far cry from the 2 hours or so that my old 80486 33mhz machine would take to calculate julibrots. The finished image is posted for immediate pleasure on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A forecast mix of clouds and sun turned out to be more clouds than sun here at Fractal Central on Friday. The temperature of 45F 12C was too chilly for cat comfort, forcing the dynamic duo to seek the artificial heat. My day was just plain busy. The next FOTD is due in 24 hours, but Christmas is but three weeks away and FL has more gifts to choose. I suspect we'll take another antiquing trip on Satur- day, so do not be surprised if the next FOTD is late. Until whenever, take care, and be careful with julibrot fractals. When their calculation is interrupted, it cannot be resumed. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Three_Dimensions { ; time=0:04:48.12-SF5 on P4-2000 reset=2004 type=julibrot julibrotfromto=-0.75/\ -0.83/0.25/-0.25 julibrot3d=192/8/8/7/10/24 float=y julibroteyes=2.5 center-mag=0/0/1.023022 params=0/0 maxiter=1500 inside=0 logmap=yes symmetry=none colors=KKcGGoHHpIIpJJqKLqLMrMNrNOrOMnOLkOJgOIdOHaO\ FYOEVOCROBOOALJ9RE8X98aECYJFUNIQSMMWPJ`SFdWBiZ7ma4\ ma5ma6mb6mb7scAk`AiZAgXAeVAcVAbUBaSBaQC`OC_NDZMDYL\ EXLFWKFVJGUIGTIHSIHRIIRIISJJSKJTJKTJLTJMUKNUKOULPK\ IQKJRKKSKKTKKUKKVKKWKKXKKYKKZKK_KK`KKaKKbKKbKKbKKc\ KKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKK\ cKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcK\ KcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKc\ KKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKK\ cKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcK\ KcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKcKKc\ KKcLKcMKcNKcOKcNKcMKcLKcKKcJKcIKcHf8Gf7Ff7Ee6De6Ce\ 5Be5Ad4Ad4Ad4Ad49d49d49d49d49c48c48c48c38c38c37c37\ c37c37b37b36b36b36b36b26b25b25a25a25a25a24a24a24a2\ 4a24a24a14a14a13`13`13`13`1RmVQmVQmVPmWPmWOmWNmWNm\ XMmXMmXLmXLmXKmYKmYJmYJmY } END PARAMETER FILE=========================================

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FOTD 04-12-09 (In a Remote Valley [No Rating])
by Jim Muth 03 Dec '09

03 Dec '09

FOTD -- December 04, 2009 (No Rating) Fractal visionaries and enthusiasts: A busy day here at FC on Thursday the 3rd means a brief discussion for the FOTD for Friday the 4th. The image is an admittedly two-dimensional scene in our old friend, the Mandelbrot set, the mother of all fractals. The location is rather deep in the north branch of Seahorse Valley of the large minibrot on the main stem of the even larger minibrot at -1.75 on the main stem of the Mandelbrot set. Since Mandelbrot-set scenes are so familiar, I gave the image no rating. But do not assume that the lack of a rating means the image is worthless. Go ahead, risk 8 seconds and run the included parameter file. The worst that can happen is a disap- pointing fractal. And that 'delete' key is always available. The name "In a Remote Valley" refers to the valley in which the scene is located. This is the electronic digital age, for what it is worth, so why not take advantage of all the cyber-wizardry by taking a virtual journey to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted for instant viewing. Thursday was a mild day for December here at Fractal Central, but heavy clouds and brisk winds made the temperature of 55F 12C feel more like freezing. The fractal cats must have agreed. They spent most of the day by the heat. My day was busier than we had expected, which explains why I turned to the dependable Mandelbrot set for the FOTD. The next FOTD will be posted in 24 hours. Until then, take care and don't get bamboozled by the sensation-seeking media. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_a_Remote_Valley { ; time=0:00:08.43-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7861146102545\ /+0.0000100873953/8.75528e+009/1/-22.5/0 params=0/0 float=y maxiter=32767 inside=0 bailout=16 colors=000OT1SX5W_9_bDceHfhLjlPnoTrrXvu`yxctwepvfl\ vghuiduj`tkXsmSsnOroKrqGqrCps8pu4ov0ow4nq8nkCmfGm`\ JlWNlQRkKVkFZj9aj4`gF_dPZaZYZhXXrV`kTdeShZVlTYpM`t\ GcsHfrHirHlqHopIrpIvoIznIznJzmJzlJzlJznMzpOznNzmMz\ lPzkUzjZziczhhzgmvfrrevmdzhczcbzZavU`rP_mKZhFYcAXZ\ 5WU4VP7TK9SHBRFDPHFOJHNLJMNLKPNJRPITRGVTFXVEZXD`ZB\ b`Adb9fd7hf6jh5lj4ni6mi7li9kiAjhCihDihFhhGggIfgJeg\ LdgMdeKedIecHebFe`Ef_CfZBfY9fX8fW9gWAhWBiWCjWDjWEk\ WFlWGmWHmWInWJoWKpWKpZNo`QocSneVngXmj_mlalodlqfksi\ kvkjxnjzpjuqkprklskgskctkZukVukSdVPOFTLKWJPZHTbEYe\ CahAfl7ko5or3tu1xs0ur0rq0po0mn0km0hk0fj0ci0ag0Zf0X\ e0Uc0Rb0Pa0M_0KZ0HY0FW0CV0AU07S05R02Q00S21U31V52X6\ 2Y83_93`B4bC4dE5eF5gH6hI6jK7kL7iKBhJEgIIfHLeGPdFSc\ EWbEZaF_`G``H`_Ia_JaZKbZLcYMcYNdXNdWOeWPfVQfVRgUSg\ UThTUiTViSWjSWjO`eLeaIjXFnTImPLmMOmJRmFUmCXm9Zm6ai\ AdIDbKB`LAYM8WO7UP5SR4QS2 } END PARAMETER FILE=========================================

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FOTD 03-12-09 (Epsilon Plus [6])
by Jim Muth 02 Dec '09

02 Dec '09

FOTD -- December 03, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal image continues our fascination with the 'Zexpe' family of fractals, but today we examine the fractal that lies 'Epsilon' levels up the logarithmic ladder. This fractal is a twisted thing with 2 main buds and a very large minibrot near the shoreline of the main bay. Today's image lies in a kind of East Valley in this large minibrot. I rated the image at a 6. After all, it is pretty much a repeat. But the short calculation time of 1-1/3 minutes will bring happiness to all but the most melancholy fractalists. The name "Epsilon Plus" implies more than is actually in the image. Do not be deceived! The fractal blues may be sent scurrying off by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning clouds deteriorated to afternoon and evening rain here at Fractal Central on Wednesday, while the temperature of 41F 5C kept heavy coats in fashion. The fractal cats spent the day wishing summer would come. My day was uneventful. Hopefully, tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and why is there something instead of nothing? (Perhaps 'something' is the state of absolute maximum entropy.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Epsilon-Plus { ; time=0:01:21.67-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=+0.73546185828/-0.64880364106/768516/1/\ 160/0 params=2.71828182845905/0/2.71828182845905/0 maxiter=12000 inside=0 logmap=116 periodicity=10 colors=000YYhZ_i_aj`ckaelbgmdinejoflpgnqhorijqifqi\ aqiYqiTqiQqiMqiJqeLoaNmYOlUPjQQiMRgISeETdAUb6Va2W_\ 0WZ0XX0XV0YU0YS1ZQ1ZP2_N2_MSDLTDNUEOVFQWFSXGTXHVYH\ XZIY_J_`JazzzzzmzzPyyPxvFwr3un7skBqhEoeImbLl_PkXSl\ UWlRZiObXJUNFPDDK7AC9BAABBBCDDCEEDGFDHHEIIEKJFLLFN\ MGONGPPGRQHSRHUTIVUIXVJYXJZYK`ZKa`LcaLdcCTbDVbEWbF\ XbFYbGZbH_bI`bIabJbbKcbLdmZ6lY8kXAkWCjWEjVGizIhzKh\ wMgtOgqPfnRfjTefVdaXdVZcN`cMbbLdhASfDVeFYdH`cJcrdN\ qcOpbPpaQo`Rn_Rn_SmZTmzamzcEkdmzfBzgAzh8zjAzkFzmKw\ nPtoUpnZmmcnlhlkhikhfjhcwhcwhcwhcwhcwuEeuHeuKduNcu\ QcuTbuWauVeuZaubcufhujmunrurvuwzuzzuzzuzzuzzuzzuzz\ uzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzmzzkzzizzfzzdzzfz\ zbzzZzzWzuSzuPzuAzu0zu4zuBzuIzuQzuXzuczuYzuTzuOzuJ\ zuLzuMzuOzuPzuRzuSzuUzuVzuXzuYzu_zu`zubzuczudzuezu\ ezufzufzugzugzuhzuhzuizuizujzumzujzuhzufzudzubzu`z\ uZzuXzuVzuRzuTzuUzuVzuWzu } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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R: The Real 3D Mandelbrot Fractal/ M. Campbell
by jakovll＠libero.it 01 Dec '09

01 Dec '09

Hello, I just wanted to thank you for posting this address... I really loved it! Are you the author of the 2 pages ? What did you change to let fractals be '3d' if you let me ask - I know fractals have not a 2d or 3d dimension but I did not know how to say it...and btw that's the title/subject of the post Thanks. Jacopo Longo, Roma >----Messaggio originale---- >Da: Maryetta.C(a)Earthlink.net >Data: 12/11/2009 23.35 >A: <fractint(a)mailman.xmission.com> >Ogg: [Fractint] The Real 3D Mandelbrot Fractal ? > >Anyone on this List been following the latest search for the real 3D >Mandelbrot fractal? If not, here might be a good place to start off >with: > > http://www.skytopia.com/project/fractal/mandelbulb.html > >There are many links through the two page article for further >information and viewing. > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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FOTD 02-12-09 (Epsilon Experiment [7])
by Jim Muth 01 Dec '09

01 Dec '09

FOTD -- December 02, 2009 (Rating 7) Fractal visionaries and enthusiasts: Sometimes the irrational number 'epsilon' does strange things. When applied to the world of fractals it is not quite so strange, but as today's image shows, it still creates some interesting images. Today's image lies in the parent fractal that is created when the formula Z^(2.718...)+C is iterated at ground level and no function is applied. This fractal resembles a Mandelbrot set with its main stem pointing north and an extra cove attached to the southwest shore of its main bay. Today's scene is located in the East Valley of the main bay of this parent. The name "Epsilon Experiment" was almost automatic. The rating of a 7 might be a bit generous. The calculation time of under 3 minutes will bring no grief, but viewing the finished on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will bring even less grief. Tuesday dawned cloudy here at Fractal Central. The clouds hung overhead all day, depressing the moods of the fractal cats, while the chilly temperature of 45F 7C helped not a bit. The cats displayed their displeasure quite vocally, and did not quiet down until an extra serving of tuna appeared. Except for the routine stuff, my day was uneventful. The next FOTD will be posted in 24 or so hours. Until then, take care, and why is the "Monty Hall problem", which is not a puzzle at all, so difficult to explain. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Epsilon_Experiment { ; time=0:02:51.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.09115973506230973/-0.366158003158718\ 20/1.700819e+011 params=2.71828182845905/0/0/0 float=y maxiter=5000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000cKHbKGbJGaJGaJG`IF_IF_IFZHEYHEYHEXGEWGDW\ GDVFDUFCUFCTECSECSEBRDBQDBQDBPCAOCAOCANB9MB9MB9LA9\ KA8KA8J98I97000I97H87G87G86F76E76E75D65C65C65B54A5\ 4A54943843843733632632522421421311211210100000zpSz\ oRznRzmQzlQylPxkPxjPviOuhOthNrgNqfMpeModMndLmcLkbK\ jaKi`Kg`Jg_JfZIeYIdYHcXHbWHbVGaUG`UF_TFZSFYREXQEXQ\ DWPDVOCUNCTMCSMBRLBRKAQJAPIAOI9NH9MG8MF8LF7KE7JD7I\ C6HB6GB5GA5F95E84D74C73B63A52A42932831721110000Vez\ UdzTczTczSbzSazRazR`zQZzQZzPXzPWzOVvOUrNTmMShMScLS\ ZLSVKSUKTUJSTJRSIQRIOQHNQHLPGJOGJNFINEHMEHLDGKDFJC\ FJCEIBEHBDGACFACF9BE9AD8AC89B78B68A679578567457456\ 3453342332231121110004b93`83_83Z83Y83X73W73V73U73T\ 62S62R62Q62P52O52N52M52L42K41I41H41G31F31E31D31C21\ B21A2092081071061051040030020010oZDnYCmXClXClWCjWC\ iVBhVBgUBeUBdTBcTAbSA`SA`RA_RAZQ9YP9YP9XO9WO9WN8VN\ 8UM8TM8TL8SK8VKAXKA_KAaKF } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 01-12-09 (Six-Part Harmony [7])
by Jim Muth 30 Nov '09

30 Nov '09

FOTD -- December 01, 2009 (Rating 7) Fractal visionaries and enthusiasts: Due to a lack of time, today's discussion will necessarily be brief. Today's image is a basic repeat of yesterday's, but of order 6 rather than order 4. Most of the things I wrote about yesterday's image are also valid for today's. After a few minutes of deep contemplation, I named today's scene "Six-Part Harmony" Then I rated it at a 7, which is just enough above average to be interesting. The calculation time of just over one minute is brief enough to make the job of running the parameter file almost a pleasure. Viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is an absolute pleasure. Heavy clouds, light rain, and a temperature of 45F 7C kept the fractal cats suppressed here at New Fractal Central on Monday. A phone call from my sister let me know that things were just as suppressed back at Old Fractal Central, where Thomas, the one remaining old fractal cat slept through the day. Due to heavier work than expected, I was pretty suppressed myself, though I still found time to search for and find a fractal. The next FOTD will probably be posted in 24 hours. Until then, take care, and the more things are supposed to change, the more they don't change. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Six-Part_Harmony { ; time=0:01:08.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 center-mag=0/0/1.96233/\ 1.3333/15/0 params=90/90/90/90/-1.13242032716834/\ 0/0/0/6.0015/0 float=y maxiter=1500 symmetry=xyaxis periodicity=0 viewwindows=1/1/yes/0/0 inside=255 colors=000I9IIEJIFKIGLIHMIINIJOIKPKNQJRSRUUVWSZYPb\ _NbaUNceNccYcagc_qcYzcWzcUzcSzcPzpNzzSzzPzxPztNzpN\ zkLzgLzzazz_zzYzzWzxUzqSzmPzgNz0Jz0Lz9LzJLzULzm0zk\ 0zi0zg0ze3zcDz0FzFJz0900z0Fg0300700900D10F30H50L70\ N90SB0UD0WF1_H5aJzP0Dz0Bx0zz0zz0mz39m79kB7gF7eJ1z0\ 5z3z00z00z00z00v00p00k00e11a75WD7SJBLNDHUHB_J0zk0z\ e0za0zY0tU1kP00m00g00a0DW1SP00z00z00z00x03p0Dg0L_3\ WSmzmgziazeWzaPvYJpUDiPSzzPzzNzzLzzJvzHqzHpzFmzDkz\ Biq9gg7eYz0pz0kz0iz0gx1eq5ck9aeFY_JWUNUNSSHWP00_00\ _03Y05Y07W09W0DU1FU1HS1JS3NSU10P70LF0HL0SY3_gHiqWq\ zizzxzzz00000LL0mk0ze5z_NiWeWPxFLz1Lz9LzFLzLLzSLzY\ LzcHvgDki9gk7cp3_q0Wt0Sv0Nv0Jq0Fp0Bk07i03e00c00_00\ Y00U00S3_F03P07P0BP1HN1LN3PN5WL7_L30L51L57L5DL7LL7\ SL7YLSq0Nm0Jk0Fg1BeBzgWeePU0z0S00U00W00Y30Y70_B1aF\ 5cJzz0zt0gm3PgD03x07q0Bm0Fi1Je3Na3SY5WU7_PU0_P0YN3\ WL7UJDSFJSDNPBUN9_LP0Pzzz } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 30-11-09 (Quartic and a Pint [7])
by Jim Muth 29 Nov '09

29 Nov '09

FOTD -- November 30, 2009 (Rating 7) Fractal visionaries and enthusiasts: While contemplating the mysterious rectangle in one of the Z^2.003 Julia sets, I wondered if any Z^4.003 sets also have rectangles. I found no rectangles, but I did find a rather interesting image, which appears as today's FOTD. Well, actually it's one of the Z^4.0017... Julia sets that appears in the image. I found the exact exponent with the evolver. But regardless of how the image was found, it's certainly worth the measly 10 seconds required to render it from the included parameter file. The rating of a 7 is just about right for the image. The name "Quartic and a Pint" is pure whimsy. I gave the image a square format because the nearly circular Julia set doesn't fit very well into the standard full-screen 4x3 rectangle. Those who do not have a spare 10 seconds to run the parameter file may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Full sunshine and a temperature of 61F 16C made the fractal cats deliriously happy here at Fractal Central on Sunday. Little work to do made me happy. One of those latin bodice-rippers on TV made FL happy, while I avoided the TV room. Since things are going so well, I'll make no promises of continued good times, but if nothing unusually bad happens, the next FOTD will be posted in 24 hours. Until then, take care, and I saw on the internet that Richard Dawkins has just proved the existence of God, and will soon announce his discovery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Quartic_and_a_Pint { ; time=0:00:09.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/22/1.3333 params=90/90/90/90/-1.220627413556322/0/0/0/4.0017\ 46584063235/0 float=y maxiter=1500 outside=tdis inside=0 symmetry=xyaxis viewwindows=1/1/yes/0/0 colors=000pNPoNPnMPmMPlMPkMPBUJCTKDSKESLFRLFRMGQMH\ QNIPNJPOJOOKOOLNPMNPNMQNMQOLRPLRQKSRKSRJSSJTTITUIU\ VHUVHVWGVXGWYFWYFWWGVVGVUGVTHVSHUQHUPIUOIUOITOJTQJ\ TSJTUITWITYIT_HTaHTcGTeGSgGSiHSkISmJSoKSqLSsMSuNSx\ ORyQQzSPzUPzWPzXPzYPz_PzaPzcPzcPzcP9QV9QT9OSANQALP\ ALNAKMBEKBDJBDHBCGBBECADCABC9AC88BJwCcwCImDIwDHAd7\ Si7Um6Wq6YoB_mFalJcas1_kDYcOX_MXXKXUIXQGXNEXKDYGNZ\ DW_Ae`7nd9jgBgjCdmEapGYsHVvJSqKPwTMze_zrczzznnJhjM\ bfPXbSRZSLVTFRWAOYHQUNSQUUMMmHNmHOmIPmIQmISmITnIUs\ JVsJWxJYxJZxJ_xK`tKbtKcoKdoKeozfozhpLipLjpzkpMmpMn\ pMopMpqMqqNsqNtqNuqNvqNwqNvpMvoMunLunLtmLtlKskKskJ\ rjJriJqiIqhIpgHpfHofHoeGndGzmGzcFmbFlaElaEl`Ek_DkZ\ DjZCjYCiXCiWBhWBhVBgUAgUAfT9fS9eR9eR8dQ8dP7cO7cO7b\ N6bM6bM6aN8aO9aOBaPCaPDaQF`RG`RH`SJ`SK`TL`UN_UO_VP\ _VR_WS_XT_XVZYWZYYZZZZ__Z_aZ`bY`cYaeYbfYbgYciYcjXd\ kCkGDlGElGFlGHlGIlHJlHKlH } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 29-11-09 (Emerging Rectangle [No Rating])
by Jim Muth 29 Nov '09

29 Nov '09

FOTD -- November 29, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's image could have been named "The Big Bang". It shows the beginning of one of the strange rectangles in a Julia set of the East Valley area of the overlapping minibrots on the infinitely divided main spike of the Z^(2.003) Mandeloid. Yes, this is where it all begins. As the value of real(C) is decreased, the rectangle shrinks and eventually fills in with what I call sandy debris. Today's image captures the curious rectangle on the verge of vanishing completely, or if we look at it from the other direction, a single moment after birth. Choosing the birth aspect, I named the image "Emerging Rectangle", though because of its almost total mathematical interest, I could give it no name. The real(p3) parameter is extremely critical -- change it even slightly at your own risk. The calculation time of under 3 minutes is within reason, as also is the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image without the inconvenience of calculating it. A mixture of sun and clouds with a temperature of 50F 10C made Saturday an off-and-on day here at Fractal Central. As far as I could tell, the fractal cats slept through most of it. The next FOTD is due to be posted as always in 24 hours. Until then, take care, and does anyone really believe that the 'green' movement can actually make a difference in the earth's climate? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Emerging_Rectangle { ; time=0:02:52.59-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 center-mag=-0.000000275\ 4171323/+0.0003917573011645/2.587047e+012 passes=1 params=90/90/90/90/-1.742904629841241/0/0.00018/0.\ 076/2.003/0 float=y maxiter=15000 inside=bof61 logmap=258 periodicity=10 mathtolerance=0.05/1 colors=0004Kw5Ku7Ks8Kq9KoALmBMkCNiDOgEMeFKcGI`HGXH\ EUICRJANK8KL6HM4DN2AN07O5AP9CQDFRHHSLJSQMTUOUYQVaT\ WeVziXzlMzoBzr0zl6zfCz`IvVOrPUmOVhMVcKWZKWUKWPKXKK\ XKKUKKUKKUKKUKKUKKUKKUKKUKKUKJUKIUPI_MH`JG`FG`CF`9\ E`6E`UBWq9RmDTjHUgLVdPXaSYZ0Zzzzzzzzzzzzzzzzzzzzza\ zzbzzbzzczzczzdzzdzzezzfzzfzzgzzgzzhzzhzzizzizfjze\ jzekzekzelzelzemzenzen7zo7zo6zp6zp6zq5zq5zr4zr4zs3\ zs3zt1zu3zt4zs6zszerzeqzfqzfpzfozfozfnzgmJzmLzlMzk\ OzkPzjQziSziTzhVzgWzgYzfZze`zeazdczcdzczjbzjazjazj\ `zkZzj_zj_zj_zj_zj`zj`zj`zj`ziaziaziaziazibzibzibz\ ibzhbzhczhczhczhczhdzhdzhdzgdzgezgebzeazeazf`zf`zf\ `zf_zf_zgZzgZzgYzgYzhYzhXzhXzhWzizeizeizeizejzejzd\ jzdjzdjzdkzdkzdkzdkzdlzclzclzclzcmzcmzcmzcmzdnzcmz\ blzakz`jz_izZhzYgzXfzVfzWezWelzelzekzekzejzejzdizd\ izdhzdPzTSzQRzRRzSQzSQzTPzTPzUOzUOzVOzVNzWNzWMzXMz\ XLzYLzZLzZKz_Kz_Jz`Jz`Iza } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 28-11-09 (Spiral to Nowhere [7])
by Jim Muth 27 Nov '09

27 Nov '09

FOTD -- November 28, 2009 (Rating 7) Fractal visionaries and enthusiasts: To me, fractal spirals appear to be overdone in the world of 'fractal art'. However this does not mean that I never come upon any. Today's image shows a spiral I stumbled upon in the parent fractal that is created when 1/100 part of Z^(-100) is mixed with plain Z and C^2 is added. As expected, the parent is a double-bayed thing. Today's image is located in a narrow strip of debris in one of the bays. The deep-blue background consists of high-iteration stuff that disappears when the maxiter is lowered. The name "Spiral to Nowhere" indicated that most of these fractal spirals keep going forever. The rating of a 7 might be overdone, but at least it might persuade an additional fractal- ist or two to actually run the rather slow parameter file. A alternate way to see the image is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday stayed dry here at Fractal Central, but heavy clouds, a brisk northwest wind and temperature of 43F 6C kept a winterish chill in the air. The fractal cats had a short spat to decide who would get to curl up on the clothes in the laundry basket, which were still warm from the drier. Cassie prevailed with one very un-ladylike hiss. Nicholas eased his disappointment in the most comfortable spot he could find by the radiator. My day was average. The next FOTD is due in 24 hours, but I think another antiquing trip is being planned for Saturday, so do not be surprised if the FOTD is late. Until whenever, take care, and one person's myth is another's reality. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spiral_to_Nowhere { ; time=0:12:58.89-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=sqr float=y center-mag=+0.047083682/+0.049793103/2379/1/90/0 params=1/1/0.01/-100/0/0/0/0 maxiter=4500 inside=0 colors=000ZO`ZPa_Qa_Ra_Sa`Sb`Tb`UbaVbaWcaXcbYcbZcc\ _dc_dc`ddaddbedcemdeemeefmwgffwfghwgmzzrazkghlgzmh\ inhzohlrziohzmfekzciczga_m`Ybzm`YUZzScUcUTOSmMUPUO\ cIMMG0LE0JC0HA0G80F50D69E69E69E78F78F78F87F87F87F9\ 6G96G96G96GA5HA5IB5IB5JC5JC5KD5KD5LD5LE5ME5NF5NF5O\ G5OG5PH5PH5QH5QI5RI5SJ5SJ5TK5TK5UK5UK5UK5UJ6UJ6UJ6\ TJ6TJ6TJ6TJ6SI6SI6SI6RI6RH6RH6QH6QG6QG6QG6PG6PF6PF\ 6OF6OF6OE6NE6NE6ND6MD6MD6LE6LC6KC6KC6JC6IB6HB6GB6F\ A6EA6DA6CA6B96A969968UUUUUUUUUUUUUUUUUUA7CB7CC8CD8\ BE8BF9BG9BH9AIAAJAAKAALB9MB9NB9OC9PC8QC8RD8SD8TD7U\ E7VE7WE7XF6YF6ZF6_G6`G5aG5bH5cH5dH4eI4fI4gI4hJ3iJ3\ jJ3kK3lK2mK2nL2oL2pL2gQB_VJS_SJd_Bih3np2op2op2op2p\ p2pp2pp1qp1qq1qq1rq1rq1rq0sq0sq0sq0tq0tq0tq0tq1sp1\ ro1rn1qn2pm2pl2ol2nk2nj3mi3li3lh3kg3jg4jf4ie4hd4hd\ 4gc5fb5fb5ea5d`5d`6c_6bZ6bY6aY6aX7`W7_W7_V7ZU8YT8Y\ T8XS8WR8WR9VQ9UP9UP9TO9SN } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 27-11-09 (FMOD Out of Control [6])
by Jim Muth 26 Nov '09

26 Nov '09

FOTD -- November 27, 2009 (Rating 6) Fractal visionaries and enthusiasts: The worst failed to happen here at FC on Thursday. Due to a last-minute change of plans, the expected guests thankfully failed to arrive, leaving FL and myself to enjoy the oversized dinner alone, which is actually the way I usually prefer it. The lack of visitors also allowed time to search for a fractal. I soon found one of marginal quality, which now appears as today's FOTD. The name "FMOD Out of Control" refers to the wildly exaggerated image, which was created by combining negative fractional parts of Z^3 and Z^5, then adding C, and finally rendering the scene with the 'outside=fmod' option in effect. The parent fractal is a ragged Mandeloid standing on its nose, with a narrow open area on its south-poimting main stem. Today's scene is located in a minor valley in one of the bays of this small open area. Like yesterday's image, today's is handicapped by too much gaudiness, which cuts the rating by a full point. With more time, I might have been able to work the image up to a rating of 7. As it is, the rating of a 6 will have to stand. The calculation time of just over 4 minutes should cause little pain. Any residual discomfort may be relieved by taking an aspirin or by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds continued here at Fractal Central on Thursday, though most of the day was dry. The fractal cats gave up waiting for the sun early, and passed the afternoon curled up, sleeping. Including the semi-banquet, my day was reasonable. The next FOTD will be posted in 24 hours. Until then, take care, and walk cautiously. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FMOD_OutOf_Control { ; time=0:04:07.90-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.037485282745/-1.214425720722/5811789\ /1/65/0 params=-0.8/3/-0.3/5/0/0/0/0 float=y maxiter=1500 inside=0 proximity=0.161 outside=fmod logmap=yes periodicity=10 colors=0004402401400400400400400400400400400400400\ 40060060060070170470671882A84D86G87I99L9AO9CR9EUAG\ XAH_AJbALfCNjCQmCRpCTnAUn9Wn8Wn7Xn6Xn4Zn4Zn4_n2_n1\ am0am0bm0bm0dm0dm0fm0fm0hm0hm0jm0jk0fk0dk0ak0_k0Zk\ 0Wk0Uj0Tj1Qj2Oj4Nj4Jj6Ij7Gh8Eh9DhAAhC9hD8hE6hG4hH4\ _N9UREOWJI_QDdW8ja4nh0tn0yv0zz0wv0pp0jj0bd2XZ4TU7N\ O9HJCCEE7AH47I2DJ1IJ0OL0UL0_N0XN0UN0RN0QN0NN0JN0IN\ 0GN0DO0CO09O07O06O04O01O00O00O00O00N00N20N60LA1LG2\ LJ4OI4QI4RI4TH6UH6XH6ZG7_G7aG7bG7fE8hE8jE8kD9mD9pD\ 9rCAtCAvCAwCArCCnCDjCDfCEbCEZCGWCGTCHOCHLCIICIECJC\ CJ9CL6CL4CN1CN4EQ8HRAJTENWHQYLT_OW`TZbXbfafjekmloq\ psuuwwwyztwzttyrpwolujgrdan_VhUPcQGYJAUG6RC1O78U4G\ _0Of0Wk0dr0ny0jzLdUzC1zECzGOzIazJntWkbfhOtdCzbEzdG\ zfHzfIzhLzjNzjOzkQzmRzmUzjWwfXpd_haaa_bUXfOWhHTjCR\ hEQfGQfHOdJObLNbNNaOL_RL_TJZUJXWIXZIW_HUaHUbHXbJ_b\ NdaQhaTkaUn_Xr__740640440 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 26-11-09 (Fractal Run Riot [6])
by Jim Muth 25 Nov '09

25 Nov '09

FOTD -- November 26, 2009 (Rating 6) Fractal visionaries and enthusiasts: Due to a rush in the graphics department, there was no FOTD for November 25 2009, nor will there ever be one. For several months I have been posting the FOTD's to both the Fractint list and the philofractal list, but I have not seen a FOTD philofractal posting appear for a week or so. The list might be down for the count, or maybe it is having temporary problems. In any event, if the P.F. list dies, the loss will be only a mild one. I sometimes wonder whether hasty, sub-standard fractals such as today's are worth the effort. Perhaps I should not post FOTD's until I have images worthy of being shown to the world. But for now we'll see how it goes. As for today's image, it is a scene in the parent fractal that results when various negative portions of Z^(0.92) and Z^(-1.08) are combined, and (1/C) is added. This parent fractal is a shrunken Mandeloid with part of its main bay cut off. Today's scene lies near the tip of a filament extending from a bud on the southwest shore line of the main bud of the parent. The name "Fractal Run Riot" refers to the wild palette of colors, which is so gaudy that it actually holds the rating of a 6 down a point or so. The calculation time of 1-3/4 minutes will cause little if any discomfort. Absolute comfort may be found however on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted, ready to bring complete happiness. Heavy clouds and a continuing drizzly rain made Tuesday and Wednesday anything but pleasant here at Fractal Central. With all the dampness, the temperature of 50F 10C felt more like 34F 1C. The fractal cats must have agreed, for they spent both days in the warmest places they could find. For me both days were busy, but tomorrow will be slower. The next FOTD is due to be posted in 24 hours, but FL is planning a mini-feast on Thursday, so I'll give a 75-percent chance that the FOTD will actually be posted on schedule. Until then, or whenever, take care, and is the earth the only planet in the universe with intelligent life, or is the existence of intelli- gent life an impossible fantasy? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Run_Riot { ; time=0:01:47.00-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.1743482543737918/-0.1585709294316873\ /2.683232e+010/1/-12.5/0 params=-1.3/0.92/1.3/\ -1.08/0/0/0/0 float=y maxiter=3200 inside=0 outside=tdis periodicity=10 colors=000s0Zs0Zq0`q0`o0bo0bm0dm0dm0dl0`l0Zj0Yj0Wj\ 0Uh0Th0Oh0Mf0Lf0Jd0Hd0Gd0Cb0Ab09b07`05`04f00`02W07\ T0CM0HJ0ME0TA0Y50`20f00l00q00w00z02z04z05z07z09z0A\ z0Cz0Ey0Gu0Hs4Jq7LoAMmCOlFQjISfLUdOWbTY`WZZZ`Y``Wp\ WAqXErYHsZJt_Mu`OvaTwbWxcYyd`zebzffzgjzhlziozjqzku\ zlyzmzzozzozzqzzrzzqzzqzzqzwqzsqzmozhozdozZozTszWo\ zYlzZjz`fzbdwd`sfZohWllUhmQdoO`qMYsOTuQOwSLyUHzWEz\ YAz_7za4zc0ze0zg0zi0zk0zm0m00Z00L00700000000000200\ 500702A07C0AG0GH0JL4OM5VQ9_TMcWPfYRj_SoaUscWudZwca\ xady_gzYjzWmzUpzSrzQtzOuzMtzKszIqzGozEmzCkz0iz0gz0\ ez0cz0az0_z0Yz0Wz0Uq0Sj0Q`0OT0MJ0KC0IA0GA0G90G90H7\ 0H70H50H50J40J40J20J20L20L00L00L00M00M00M00M00O00O\ 00Q00S00U00W00Y00_20a40c50e70g92cCbPE5UG7UH9SJAZLC\ eMElOGcbHUqJUzLUzj0zlQ4jT9jTCjTGjUJjUMjUTjWWjWZjWb\ jWfhYhfYhfZhdZhdZhb`h``h`bhZbjZbjzzUzOOzLQzJQzHTzE\ TyCUyAUy9Uw5Ww4Wu2Yu0Ys0Z } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

4 3

FOTD 24-11-09 (Evaporated Wonders [7])
by Jim Muth 23 Nov '09

23 Nov '09

FOTD -- November 24, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image was created when I mixed various negative parts of Z^(-1.5) and Z^(-5.6), added (1/C), and raised the escape radius to one-googol, which evaporated the scene. The parent fractal is an irregular thing with several large near- circular bays, some with mandel-buds along their shoreline, some without. Today's scene is located in a tiny dot in an unlikely area on the east side of the parent. The rating of a 7 seems about right, at least in my opinion. The name "Evaporated Wonders" refers to the 'evaporated' nature of the image, in which all the 'outside' stuff has evaporated and the remaining inside stuff has been brought to life by the 'bof61' inside fill. The calculation time of 1-1/2 minutes is a real bargain for an image that rates a 7. Those who do not care to hunt for bargains may avoid the calculation and see the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mixture of sun and clouds, with a temperature of 55F 13C made Monday a routine day here at Fractal Central. The fractal cats agreed fully. They had a routine day also. And the work was pretty routine too. The next FOTD is scheduled to be posted in 24 hours. But there is no ironclad guarantee that it will appear on schedule. Until the next time, take care, and be ready to do what is to be done. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Evaporated_Wonders { ; time=0:01:29.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.93006699132/+0.78031334355/183291.5/\ 1/-32.5/0 params=-4.5/-1.5/-1.6/-5.6/0/1e+100/0/0 float=y maxiter=750 inside=bof61 outside=tdis periodicity=10 colors=000GPZFVYKTTPSPUQLZPHcOChM8mL4rK0kN3006ZS9T\ UBRTEQTHPTKOSNNSPMSSLSVJRYIR`HRbGReFQh000DQnCQpDTq\ EWqEYqF`rGbrGerHhsIjsImsJotKrtKtt000cibaSVidUaVTea\ TceSacS_bRYaRW_QUZPSXPQWOOUOMVNKSN8AJHJIPWHY_GegFm\ oFceza_z_VzZQzXKzVFzUAzWC0YEzFGh`IzaKzcMzdOzfQzgSz\ iUzjWziYzhZzh_zg`z00zfczfdzeezefzaczZazV_zSYzOWzLU\ zISzEQzBOz7Mz4Kz1Iz6HzBHzGGzKGzPFzUFzZFzbEzgEalD_q\ DYuDXsCR0BMoAHm9Ck97h8Ae7Db7G_6JY6MW7OU7QS7RQ7TP7U\ N7WL7YJ7ZH7`G7aE7cC7eA7f87h77iE6fK5cR4aX3Zb2X_5YX8\ ZVA_SD`QGaNIbKLcIOdFQeDTfAWg7Yh5`i2cj0ek_C8ZDAZDBZ\ DDZDEZDFZDHZDIYEKYELYEMYEOYEPYERYESYETYFUYGVYGWYHX\ YHYYIZYI__J_aJ_cJ_eJ_eOXeSUeWRe`OedLehIkVdjXbjY`iZ\ Zi`XhaWhbUhcSgeQgfOfgNfiLejJekH7Om8Sk9ViAZgBbeCfcD\ iaEm_FqYGtWIsUfkIKrTMrSOqRQqQSpPTpOVoMXnLZnK`mJbmI\ dlHY_bZa`_bZ_cX`dVaeTafRbgPchNciLdjJekHwp3uo4to5so\ 6qn7pn8on9nnAlmBkmCjmDHJ` } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 23-11-09 (Fractalish Image [6])
by Jim Muth 22 Nov '09

22 Nov '09

FOTD -- November 23, 2009 (Rating 6) Fractal visionaries and enthusiasts: There is no FOTD for November 22. The reason -- another Satur- day antiquing expedition. But FL picked up a 600-dollar clock in perfect working order for 55 dollars, so the day was not a total loss. The FOTD for Nov 22 was a total loss however, and the loss can only partially be made up for with today's FOTD for Nov 23. Today's image is a scene very deep in the East Valley of the Mandelbrot set that results when quadratic and cubic elements are combined in a certain way with the AllNewDivideBrot formula. The image is mostly cubic, though the number of elements surroun- ding the minibrot increases in a rather irregular was as the minibrot itself is neared. I see rings of 3,6,9,12,18,etc elements, all of them without the discontinuities that usually spoil such mixtures of exponents, but none of this truly earns the rating of a 6. The name "Fractalish Image" says it all. The calculation time of 5-1/4 minutes is surprisingly brief for a scene of such high magnitude. And the finished image is also posted for instant joy on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday and Sunday were similar here at Fractal Central, with lots of clouds, a temperature around 52F 11C, little sun but no rain. The fractal cats were mildly discontented on both days, while I was more satisfied on Sunday than on Saturday. The next FOTD will be posted in 24 hours. Until then, take care, and walk in the surface of a hyperplanet. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractalish_Image { ; time=0:05:13.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.2788746941441006/+0.0024035667825432\ /2.709886e+012/1/-122.5/0 params=3/30 passes=1 maxiter=5000 inside=0 logmap=556 periodicity=10 mathtolerance=0.05/1 colors=000TFiTHiSJiSLiRNjRPjQRjQTjQVjNXfLYcIZ`G_YE\ `VBaRAaOF_LKXIYUFZRJeMNi7Re8Ma9HZADVB8SC4QH8OKBNNF\ LQIKTMIWPG_TFbWDf_CibAmf8pi7tm5wp4ys3xr3vr3uq3sq2q\ p2pp2no2mo1ko1in1hn1fm0dm0cl0al0`l1Yj1Wh1Ug1Se1Qc1\ Ob1M`1K_2HY2FW2DV2BT29R27Q25O23NHDQWNSjXVxfXweZwe`\ webwedveevegveivekvemuenuepueruetueuvdmvcfvb_s_ZpX\ ZmVZjSZhQYeNYbLY_IYYGYKQQ6_I9aHCcHFeHHgGKiGNkGPlGS\ nFVpFYrF_tEbvEexEgyEkrNnkWrdduYmxSvtTsqTqnTokUmhUk\ eUhbVf_VdXVbUW`RWYOWWLXUIXSFXQCXOMb_Whjdnucjpcglbd\ hbadbZ`aWXaTTaQP`NL`KH`HD_E9_B5_81dICiRMn`Xzlfzwpt\ pnqbmj`llmjjligrvdvfbrz_gdYfbVdaSc`QbZNaYL`XQaTVaP\ _aMcaIhbEmbBrb7vb4wa5w`5w`5x_5x_5xZ5zm5zm5zm5zm5zm\ 5zm5zm5zm5zm5rRDkOKcKSXHZPDfIAmB7tDArFCqHEpJGnLImM\ KlONjQPiSRhUUfWWeXYdY_cZab_ca`f`ai`bl_boZcrYduXexX\ fzWgzVhzUhzUgzWfzXezZez_dz`czbczcbzeazfazg_zbYzZXz\ VVzRTzMSzIQzEPzAQzHUzhUzh } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 21-11-09 (Victorian Elegance [7.5])
by Jim Muth 20 Nov '09

20 Nov '09

FOTD -- November 21, 2009 (Rating 7-1/2) Fractal visionaries and enthusiasts: I think today's image is the first one that was not named by me. When FL saw the image, she remarked, "How elegant. It almost looks Victorian." I immediately named the image "Victorian Elegance". The parent fractal is an oversized thing consisting of a near circular main bay with several buds of questionable periodicity. The filaments that extend from the buds terminate in rings. This parent was created when I combined various portions of Z^(-1.05) and Z^(-5.5), then added (1/C). Today's scene is located on the eastern shore line of the main bay. The rating of a 7-1/2 might have been an 8 if I had worked on the colors longer. But a 7-1/2 is well above what we have been seeing in the FOTD's lately, so I decided to let it go at that. The calculation time of just over 7 minutes will demand a bit of patience, but the result will be worth the effort. And if patience is in short supply, the finished image is posted for immediate gratification on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mixture of clouds and sun, and a temperature of 55F 13C made Friday a near-average day for mid-November here at Fractal Central. The cats of the fractal variety had an average day also, which means they slept through 75 percent of it and asked for food the rest of the time. In my department, the day was a bit busier than average, but things worked out well and the day ended with the work caught up. The next FOTD will be posted in 24 hours. Until then, take care, and when in fractal land, do as the fractals do. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Victorian_Elegance { ; time=0:07:12.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-1.086818552098141/-25.4782011880397/\ 421630/1/-132/0 params=-2.475/-1.05/-0.275/-5.5/0/\ 0/0/0 float=y maxiter=1800 inside=0 periodicity=10 colors=000hfcYXZecaXXZb__YWZ`ZYXWXYXWWVVVVUUUTTTSS\ SRQRQPQPOOOMNNLMMKLLIKKHJJGIIFHHHJJJLKLMMMONOPOQRQ\ RSRTUSVWUWXVYZW__YaaZbb_ddaffbggciielkgnniqpltsnww\ wvwwwwwsuwsuwqswprwoqvnpumotlnskmrjlqikphjoginfhmc\ hm`imYimVinSjnPjnLjnIknFkoCko9lo6lo3lo0lo2kn4jn6jm\ 8imAhmChmEgmFfmHfmJemLemNdmPcmRcmSbmUamWamY`m__ma_\ mcZmdZmbYlaXk`Wj_WiZVhYUgXUfVTeUSdTScSObRQaQM`PF_N\ LZMAYLJXKAWJHTIAUHARGASDA9FACHFFKGKMHPRIUUKZYLc_Lh\ cMmfMrhNvjNzmOzpOzsOzvOzuOzlHtgGobFiYEdTDZOBUKAOG9\ JC8D87846355555655855955A55C55D54F54G54H54J54K54M5\ 4N54OA8PFCQKGRPKRUOSZSTcWUgZUfYTfYTb_W_`YWa_TcbPdd\ MefBSIBTJBUJAUKAVKAWLAXLAXLBWMCVNCUNDTODSPERPEQQFM\ RGIR0ES0AT00T00A00A00A00A00A00ALEmMDZMCmLDYKUzJDYJ\ EmIEYHUzGFXGFmFFXEUzDGXDGUDESDDUDCUDBUDAPD96D8UF76\ H79J6CL6FN5IP5LR4OT4RV3UX3XZ2_`2bb1ec1hb3gaLf`7e_Q\ d_AcZQbYEaXUaeRS_XVgZYZXX } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 20-11-09 (Once Again Fractal [5])
by Jim Muth 19 Nov '09

19 Nov '09

FOTD -- November 20, 2009 (Rating 5) Fractal visionaries and enthusiasts: We seem to be stuck in a fractal lean period. An infinity of great fractals lie somewhere, waiting to be discovered, but I can't find a single one. Oh well, these slow periods seem to come and go. Sooner or later I'll find a super image. Today's image is simply average -- a minibrot that lies on the eastern edge of the curiously-shaped parent fractal that results when Z^2 is combined with Z^100 before C is added. This parent is shaped like a Mandelbrot set lying inside a Z^100 Mandeloid and partially obscured by it. Today's image is nothing that has not been seen several times before. I gave it a little extra coloring effort, not enough however to raise its rating above an everyday 5. The name is pure nonsense. The calculation time of 1-1/3 minutes will pass like a Leonid meteor, a few of which were visible here at FC this past week. The trip to the FOTD web site will be almost as much fun as a meteor storm. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and occasional rain spoiled Thursday here at Fractal Central. The temperature of 57F 19C was mild enough, but it's hard to be comfortable when rain is falling. The fractal cats, mascots of FC, slept through all of it. My day was uneventful. Could anything be less interesting than that? The next FOTD will be posted in 24 hours. Until then, take care, and why are we here in the Milky Way Galaxy instead of out there in the Andromeda Galaxy? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Once_Again_Fractal { ; time=0:01:19.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.07466919198208906/-0.027207195754955\ 13/3.353469e+011/1/-132/0 params=1/100/1/2/0/0/0/0 float=y maxiter=316 inside=0 logmap=60 periodicity=10 mathtolerance=0.05/1 colors=000UAzUAzSAwQAtOAqMAnKAkIAhGAeEBcDHcGNcITcL\ YcPcZUiUcoPmuKqzKryUrxcvwmuzzuzzuzzzsmzrczqYzpazod\ zngvmkrnnmmqmmtmonmohmncmmYjkTfiVcgX`eZYc_VaaS_cPY\ eLXfIVhFTjCRl9Pm6No3Lq0Kr1Kl2Kf3K`4KVzzPzzJzzEzzZz\ zYzzYzzYzzYzzYzzXzzXzzXzzXzzXzzWzzWzzWzzWzzWzzUdzz\ czzazz_zzZzzXzzVzzUzzSzzQzzPzzNzzLzzKzzVzzXzzhzzbz\ zzzzkzzezzazz9zzIzzQzz5zzFzzPzz_zzZzzNzzTzzzzcmzbg\ zRazFbzHczJdzLezMVzOLzQBzSJzOQzKczh`zTezsazZrzflzZ\ gzSbzLKzoOzeRzXVzNizoczX4ziJzUWzaXzUYzMQzGSzwNzPhz\ zbzafzbizjez_azP3zIOz5TzAWzAXzCZzpYzcYzRwzvjz_dzp`\ zXlzyhzmdza`zQIzJbzI`zGZzFAzFGzEMzESzEIzKQzHzzxrzl\ kz`dzPizEezEazEZzlYzVAzyMzauzlPzoSzbVzQkzjgzadzU`z\ MAzfGzZMzSSzLmzDgzEbzEbzlNzbRzUVzM2zRDzMOzICzdIzYN\ zRTzKZzmYzdYzWYzN6zXGzQPzK1zv0zh9z`HzTQzL1zs3zUJzM\ 4zvhzhdzY`zOlzrdzYAzrIzdQzRKz`lzwdz`uzb_zjZzazzUzz\ MTwr3z4HzWQzNxzGjzF2zuCz` } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 19-11-09 (Error in Sight [5])
by Jim Muth 18 Nov '09

18 Nov '09

FOTD -- November 19, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's image is named "Error in Sight", which pretty much says all there is to be said about the image. For some reason, when I brought up the MandAutoCritInZ formula, I set the function to cosine instead of the intended reciprocal. I noticed the error at once when the resulting parent fractals, (there are a multi- tude of them), looked a little too good to be true. But right or wrong, at least one of the fractals demanded further investi- gation. A hasty search yielded today's image, which owes its effect to the 'outside' parts, which I rendered with the 'tdis' option in effect. With more time, I might have made more of this image, but as things went I had to settle for the image as it is. The rating of a 5 is average in every respect. I have posted several similar images over the life of the FOTD. The calcula- tion time of 1-1/4 minutes is reasonably fast. And if all else fails, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed without the hassle of calculating it. Ample sun and a temperature of 57F 14C made for contented cats here at Fractal Central on Wednesday. More work than could be comfortably handled in one day made the conditions less than contented for FL and myself. The next FOTD will be posted in 24 hours. Until then, take care, and if these FOTD images don't soon start getting better, I'll have to do something about it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Error_in_Sight { ; time=0:01:14.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=cos inside=0 center-mag=+2.152892856201255/+0.5682574252167707/\ 3.029e+008/1/52.5/0 params=1/1/1/-1/0/0/0/0 float=y maxiter=1500 outside=tdis logmap=yes periodicity=10 colors=000UJpVKbVKQWKDWK0`QLeWeiayjTyjKykByk2yi4uh\ 5rf7oe8lc9hbBe`Cb_D_`GaaIcbKdbMfcOgdQidSj`UlXWmTXn\ PZoL_pHaqDcr9ds5ft2guGafUXSgSDhQGiPIjOLjNNkMPlLSlK\ UmJXnIZnH`oGcpFepEgmIfjLegOdeRdbVc_YbY`bVcaSg`Qj`N\ m_KpZIsZHnYGjXGfWFaVEYUEUTDPSCLRCHQBCPA8OA4OM7NX9M\ hBLsDKpEJmEIjFHgFGdGFbGEfcfXHDUICRIBPJAMJ9JK8GK7DL\ 6BL6FK5IJ5LI5OH5RH5UG5XF5_E5bD5eD5zV5zoCyoJxpPxqaw\ rhwsquuuwwwkqz`nzQlzGkZ7aC8_D9YE9WEAUFATGBSGBQHCOI\ DMI0KJEIKEHKFELFDLLcJQzIPvJOrKNmLMiMLgMKeNJcOIaPH_\ QGYQFWREUSDSTCQUBPWIMZOKcVHh`FmgCrmAvt7zz5zw4zS9eP\ 9eM9dK9cHAbFAaCA`AA`F9_K9ZP8ZT8YY8Yb7Xf7Wk6WzPVzZV\ zPXwDYsG_oK`lNbhQcfUedXfb_g`ciZfjXilVmmTpoRkpQcqLc\ 2Oc3Rc4Tc5Wc5Yc6`c7be8eg8hj9jlAmnBopBrsCtuDwwEyyEw\ zHuzJszLqzNozPmzRkzTizVgzXfzZezaezcezeezhezjdzldzn\ dzqdzsdzudzwhzklz`ozPszEvz3qz9lzEgzKbzPYzUTz_OzdJz\ iYzjlzjizkfzlczmaznZzoWzp } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 18-11-09 (Fractal Firework [4])
by Jim Muth 18 Nov '09

18 Nov '09

FOTD -- November 18, 2009 (4) Fractal visionaries and enthusiasts: Today's late, 4-rated fractal is an afterthought. I spent all my fractal spare time on Tuesday exploring fractal byways, and no time making a work of pseudofractal-art. So today's FOTD is presented as a scene I passed by in my explor- ations. I have posted it merely to have a FOTD for November 18. The scene lies at the eastern end of its parent, which is beyond verbal description. The image shows a quintic minibrot that appears to be spinning. I named it "Fractal Firework", leaving off the final 's' because it's worth only a single bang. The humble image may be seen by running the included parameter file -- at one minute it's a very fast one -- or by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But due to the unusual time of this posting, give Paul an hour or two to calculate and post it. Thick clouds obscured the sun all day here at Fractal Central on Tuesday, but no rain fell, and with a temperature of a mild 54F 12C, the day was not all that unpleasant. The fractal cats slept through most of it. My day was uneventful. The next FOTD, almost certainly with a higher rating, will be posted in around 12 hours. Until then, take care, and be fortuitous. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Firework { ; time=0:00:59.96-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.4955398800209755/-0.0000020712948052\ /8.205128e+010/1/-35/0 params=5/-6 maxiter=1500 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000hIjjFjlBio7iq3is0iiDl_QoQbrHntLorOoqRppV\ poYqn`qmcqlbokbnjamjakiaji`ih`hh`fg_eg_df_bfZaeZ`e\ Z_dYYdYXcYWcXVbXTbXSaWRaWP`WO`VN_VM_VKZUJZUIYUHYTJ\ XTLWTMVTOUTQTTRSTTRTURTWQTYPTZOT`NTaMTcLTeKTfKThJT\ iITkHTmGTnFTpETqESmDSiCSfBSbASZ9SW9SS8SO7SL6SH5SD4\ SA4RC6QE8QFAPHBPIDOKFOLHNNIMPKMQMLSOLTPKVRKWTJYVJZ\ WHW9GVBGUDGTFGSHGRJGQKGPMGOOGNQGMSGLTGKVGJXGIPGHRG\ GTGFUGEWGDYGC_GBaGAbG9dG8fG7hG6iG5iF4gE4dD4aC3ZB3W\ A3TA3Q92N82K72H62E51B518415312210200100503rN4mK3hI\ 3cG2ZD2NTMIUVDVb8VjGVeOV`WVXcVSkVNsVJl_FedC_h9aeCb\ cFcaIdZLeXOgVRhSUiQWjOZkLamJdnHgoEjpCmqAotBlvBixBf\ zBdyJayQ_xXXxcVwjSwqQwxOpqLjjIddFZYCSR9ML6BE358158\ 14814714714714613613613513513512402402402302301301\ 20120120110010010000000000jCRgBPeAOcANa9M_9LY8JW8I\ U7HS7GQ6FO6EM5CK5BI4AG49E38C37A25824613412201uqLpm\ JliIheGdaFP`CQX9RU7SR5NSE } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 17-11-09 (Caught in the Deep [7])
by Jim Muth 16 Nov '09

16 Nov '09

FOTD -- November 17, 2009 (Rating 7) Fractal visionaries and enthusiasts: I'll not wander into abstruse metaphysical speculation about what is going on in today's fractal. I'll merely state that whatever it is, it makes an interesting effect and a not-too-bad piece of pseudo-fractal art. The unlikely value of the second parameter is critical, as a small change will demonstrate. The value of the first parameter is also critical, though in a different part of the parent fractal. The name "Caught in the Deep" came to mind when I shut off my mind, which is not as hard to do as it might appear. The rating of a 7 indicates an image that is somewhat interesting as well as a bit artistic. The calculation time of under 1-1/2 minutes indicates that little time will be wasted if the result fails to satisfy. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image eliminates all possible chance of dis- satisfaction. Tons of sun flooded Fractal Central on Monday. When the temp- erature reached 55F 13C the fractal cats said it was absolute perfection and curled up together on the shelf in the sunny southwest window. My day was average. I realize this is rather boring, but that's the way of it sometimes. The next FOTD will be posted in 24 hours. Until then, take care, and never give up the search for the light regardless of how you define the 'light'. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Caught_in_the_Deep { ; time=0:01:27.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.75467608253/0/876688/1/90/0 passes=1 params=0.000001/1001.5 float=y maxiter=1500 inside=0 periodicity=10 colors=000zidzigzikzinziqzitzhqzgnzflzeizdfzcdzbaz\ aZz`Xz_UzZRzYPzXMzXKzZNz`PzbRzcTzeVzgXziZzj`zibzid\ zifzihzhjzhlzhnzhpzhrzflzdfzb`z`VzZPzYKzYKzXJzXJzX\ JzXJzXJzXJzXJzWJzWJzWJzWJzWJzWJzWJzVIzVIzVIzVIzVIz\ VIzVIzVIzVIzUIzUIzUIzUIzUIzUHzUHzTHzTHzTHzTHzTHzTH\ zTHzTHzSHzSHzSHzSHzSGzSGKSGKRGLRGLRGLRGKRGKRGKRGKQ\ GJQGJQGJQGJQFJQFIQFIQFIPFIPFHPFHPFHPFHPFGPFGOFGOFG\ OEGOEFOEFOEFOEFNEENEENEENEENEDNEDNEDNEDMEDMDCMDCMD\ CMDCMD4K93K92KA1KA1KA7KDCKFHKHMKKRKMXKObUQcUTcUVcU\ XcUZcU`cUagcccedZfeVggQhhMiiHjkKklPmmUlgZkbclYhkTm\ lNrkIvlDzk8zm3zkAzjGziMzgSz`Yz_czZivXerWamVYmUUmTR\ mSNmRJmQFmPCmRDmTEmVFmXGmZHm`ImbJmdKmeKm_LmUMmONmI\ OmCPm6Qm5Om5Mm5Km5Im5Gm5Em5Cm5Am58m56m54m5Am5Fm5Km\ 5Qm5Vm5_m5dm8fmBgmEhmHimKkmNlmQmmTnmVomTemRWmQMmOC\ mN3mP4mQ5mR6mS6mT7mV8mW8mX9mYAmZAma8md7mg5mj4mi8mi\ BmiEmiImiLmiOmiSmiVmiYmia } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 16-11-09 (The Future Evils [7])
by Jim Muth 15 Nov '09

15 Nov '09

FOTD -- November 16, 2009 (Rating 7) Fractal visionaries and enthusiasts: As feared, or rather, as expected, FL and I went on an antiquing expedition Saturday. We found nothing of irresistible interest, though the day was still actually rather pleasant. But unfortu- nately, we returned too late for a proper FOTD, and as a result I posted no FOTD for November 15. Instead, I spent the evening watching the junk on cable TV. Remembering the laughs I had while watching the end-of-the-world shows on Saturday evening, I named today's image "The Future Evils". There does appear to be something vaguely sinister about the image, which exists in a parent fractal shaped much like an oversized flying wing, with a proper-sized Mandelbrot set at its origin. Actually, the pointed, branching elements around the minibrot remind me of the surreal backgrounds of the old 'Samurai Jack' cartoon series. The image was created by a mixture of Z(-1.5) and Z^2, and lies on one of the branches of the infinitely-divided main stem of the Mandelbrot set at the center of the parent. The rating of a 7 seems about right for today's FOTD image, standing flatly as it does in glorious two dimensions. After the 18-minute calculation time of the FOTD for November 14, today's time of 20 seconds will seem to exceed the speed of light, hopefully without the contradictory effects of relativity. Perhaps not quite the fastest but the most entertaining way to see the image is to forget the hassle of calculation and surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted already calculated for immediate and totally overwhelming satisfaction. Heavy clouds hung tough on Saturday, but for the most part it stayed dry. With the lack of sun, the temperature of 61F 16C was a bit too chilly to keep the fractal cats contented. On Sunday there was a big improvement, with lots of sun and a temperature of 68F 20C, which pleased the cats greatly. The next FOTD will be posted in 24 hours. Until then, take care, and are we in the universe or is the universe in us? Or is this just two different ways of saying the same thing? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Future_Evils { ; time=0:00:20.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y passes=1 center-mag=-20.105342042/+0.192308779/\ 1084/1/180 params=-1.5/500000 maxiter=1200 inside=0 logmap=37 periodicity=10 colors=0005A8JA6RAS_OWmQ_zTczVgzZzzbzYzzPzzGz`7z_8\ mZ9jYAfYAcXB`WCXWDUVDRVINUNKTSHSRJTQLUPNUPOVOQWNSW\ MUXMVXPRVRNUTJTVGSYCR_8Qa4Pc1Of6NiANlENoINrMMuQMxU\ MzYMhZZR_k9_x8Xu8Vr8So8Qm8Nj8Lg8Id8GbMMa_SamY`zc`v\ hbrldnpfjthfxjnEGoNOoWWpdbpmjpuqqpnrlksgitcfuZdvVa\ wR_vQcvPfvOjxNmzMpzckz_hzWezSbzO_zKXzGUzCRz8OzEWzK\ czQkzWszbjzhazoTzuLzlHzcEzVBzWFzXJzYNzZRz_Vz`Zzaaz\ bazc`zd_zZFz_Hz_Iz`JzFHzHIzIKzKLzMMzONzPPzzQzzRzzT\ zzUzzZzzVzzXzzYzzZzzZzz_zz_zz_zz_zz_zz_zz_zzczzbzz\ bzzbzzbzzbzzbzzazzazzazzazzazzazz`zz`Fz`Gz`Hz`Iz`J\ z_Kz_Lz_Mz_Nz_zzQpzTfzVXzYpzikzgfzeazdXzbSz`TzRSzS\ SzSSzSSzTSzTRzTRzURzURzURzVRzVQzVQzWQzWQzWQzXPzXPz\ XPzYPzYPzYPzZOzZOzZOz_Oz_Oz_AzhBzgCzgCzfDzfEzeEzeF\ zeGzd_zhZzgZzfYzdYzcXzbXzaUz7gzFuzNtzdeznSzwVzsYzo\ _zkbzgezcgz`QzTMzOJzJGzEJzHLzKOzMQzPTzRVzUZzUYzSXz\ QWzOVzMUzKSzIOzGKzEFzCAzA } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 14-11-09 (Dancing in Darkness [7])
by Jim Muth 14 Nov '09

14 Nov '09

FOTD -- November 14, 2009 (Rating 7) Fractal visionaries and enthusiasts: I'm writing this on Friday the 13th, a supposedly unlucky day. I think the bad reputation came about when, on this day six- or seven-hundred years ago, the king of France ordered the Templars to be eliminated. The day is probably no more unlucky than any other day. I also still hear rumors that the world will end in December 2012. I think both Nostradamus and the Mayans predicted it. Of course, Nostradamus's writings are so ambiguous that they can be made to have predicted anything desired, just as long as the event has already happened. And as for those Mayans -- I think they had a calendar that ran in repeating cycles of 5000 years or so, and not in the linear way we keep track of our time. One of the Mayan cycles is supposed to end in December 2012, and a new cycle is supposed to begin. I doubt that they expected the entire world to end. At any rate, all the end-of-the-world stuff on TV and in the movies will certainly help sell the sponsors' products. Today's image lies in the 'Seahorse Valley' of the parent fractal that comes about when the formula Z^(1.618034)+C is iterated 33 levels up the logarithmic ladder and the reciprocal function is applied. (I used this function by mistake, but the result is still worth the effort.) I named the image "Dancing in Darkness" because this phrase was the first thing that came to mind when I turned off my thoughts. The rating of a 7 was earned when I livened up the colors a bit in a separate graphics program. Unfortunately, with a calculation time of a full 18 minutes, the image is quite slow. But fortunately, the finished product is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I see that the 3-D fractals on the web are wowing the fractal- ists on this list. I checked the images, which are impressive indeed. They remind me of the ink-blot images created by the artist Max Ernst. The type=julibrot in Fractint also draws 3-D fractals, but this type is so slow that I rarely check it. I wonder what could be done with it -- most likely nothing close to those surreal 3-D images on the web. Friday here at Fractal Central featured variably cloudy skies and a temperature of 63F 17C, which made the fractal cats happy. The unexpected amount of work left me with mixed emotions. The next FOTD is due to be posted in 24 hours, but FL is getting an antiquing look in her eye, and if an unexpected expedition develops on Saturday, the FOTD for November 15 might be late. Until whenever, take care, and now that we've seen the 3-D Mandelbrot set, let's see the 4-D Julibrot. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DancingIn_Darkness { ; time=0:18:06.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip inside=0 center-mag=-0.483202805468211/+0.5648328233695159/\ 3.24576e+011/1/-40/0 params=1.618034/0/33/0 float=y maxiter=32767 periodicity=10 mathtolerance=0.05/1 colors=000PPePPePSePSePUeNXgPSeSUbUUbXX__X___Xb_Ue\ bUgbSjeS0Fz0Fz0Iz0Kz0Nz0Nz0Pz0Sz0Sz0Uz0Xz0_z0_z0bz\ 0ez0ez0gz0jz0mz0mz0pz0rz0uz0pz0pz0pz2pz4pzApzCpzIp\ zKpzPpzSpzXpz_pwepugppmpmppjupgwpezpbzp_zzmzzhzwcz\ tNzrKzqIzpFzmAzmFzjIzgIzeKzbNu_NpUPgSPbPSUNUPKUIIX\ CF_4A_07b04b02e00g00g00j00m00g00e00_00X00U00P00N00\ K00F00C00A204702A00C00F00I00N00P00S00U00_00b00e00g\ 00m00m00j00g00e00b00_00X00U00S00P00N22K47I4CF7IC7K\ AAP7AU4C_4Fb2Fg0Im0Ip0Ku0Nz0Nz0Pz0Pz0Sz0Sz0Uz0Xz0X\ z0_z0_z0bz0ez0ez0ez0ez0gz0gz0gz0gz0jz0jz0jz0jz0mz0\ mz0mz0mz2pz4pz7pzArzCrzFrzIrzKuzNuzPuzSuzUwzXwz_wz\ bwzezzgzzjzzmzzpzzrzzuzzzzzmwzgpzbgrX_gSSXNKNICCC4\ 2400IFCKKAKNANS7PX4P_4Se2Uj0Um0Xr0_w0_z0bz0ez0ez0g\ z0jz0jz0mz0pz0mz0jz0jz0gz2gz7ezCeUKbOPb7U_0__0eX0j\ U0r_0e_0e_0e_0e_0eX0eX0eX0eX2eX2eX4eU4eU7eU7eUAeUC\ eUCeSFeSFeSIeSIeSKeSNePNe } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: [Fractint] The Real 3D Mandelbrot Fractal
by JackOfTradeZ＠comcast.net 13 Nov '09

13 Nov '09

. Some of those images look awesome! Some are actually not-so-pretty. Very interesting thread on the Fractal Forums, it will take me a while to wade thru it all.... Anyone gets one of the formula to work in fractint (try to format in a FRM file), lemme know so I can try to animate it. JoTz .

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The Real 3D Mandelbrot Fractal ?
by Maryetta Campbell 12 Nov '09

12 Nov '09

Anyone on this List been following the latest search for the real 3D Mandelbrot fractal? If not, here might be a good place to start off with: http://www.skytopia.com/project/fractal/mandelbulb.html There are many links through the two page article for further information and viewing.

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FOTD 13-11-09 (Alto-Cumulufractal [8])
by Jim Muth 12 Nov '09

12 Nov '09

FOTD -- November 13, 2009 (Rating 8) Fractal visionaries and enthusiasts: I enjoy pictures of imaginary scenes on other planets, and today's image certainly could be such a scene. I have posted several similar images over the 12-year history of the FOTD, but as far as I can remember none of them have had a sky filled with altocumulus clouds or foreground rocks with such texture. The name "Alto-Cumulufractal" refers to the appearance and colors of the sky and rocks, which I actually did put some extra effort into. The rating of an 8 might be a bit liberal for an image so similar to several earlier images. I like it however. The parent fractal closely resembles the default Z^(2.5)+C Mandeloid. Today's scene is located in a tiny valley very near the X-axis, at the western edge of the fractal. The clouds in the image sky are more interesting than first meets the eye. I'm not sure if any minibrots lie in the clouds, but I might check the area a bit after posting this FOTD. The calculation time of 6-1/3 minutes is reasonably speedy. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the completed image is even speedier. A cloudy, chilly but dry day here at Fractal Central on Thursday made little impression on the fractal cats, who spent a good part of the afternoon trying to get an early tuna treat, while the temperature of 55F 13C kept the FC heat running. The cats finally discovered the heat and remained snugly warm until treat time arrived. My day was average, which means there was nothing to note in my journal. The next FOTD will be posted in 24 hours. Until then, take care, and why is it so hard to keep a positive attitude in such a negative world? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alto-Cumulufractal { ; time=0:06:20.73-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-1.320354892564229/-0.00001604110502265\ /467622/1/-12.5/0 params=2.5/1 float=y maxiter=1500 passes=1 inside=255 logmap=513 periodicity=10 colors=000FFVEFWEGWEGXEGYEHZEHZDH_DI`DIaDIaDJbDJcC\ JdCKdCKeCKfCKgCKgCKhBKiBKjBKjBKkBKlBKmAKmAKnAKoAKp\ AKpAKq9Kr9Ks9Ks9Kt9Ku9Kv8Jw9Kv9Kv9Lv9Lv9Mu9Mu9MuAN\ uAOtAPtAPtAQtAQuAQuBRuBRuBTuBTuBTuBUuBUvCVvCVvCWvC\ XvCXvCYvCYvDZvDZwD_wD_wD`wDawDawEbxEbxEbxEcxEcxEey\ EeyFfyFfyFfyFgzFgzFhzFhzGizGizGhzGizGizGjzGjzGjzHk\ zHkzHkzHkzHlzHlzHkzIlzIlzImzIlzImzImzImzJmzJmzJnzJ\ nzJnzJozJozKpzKpzKqzKqzKqzKrzKrzLszLszLtzLtzLtzLuz\ LuzMvzMvzMvzMwzMwzMxzMxzNyzNyzNyzNzzNzzNvzNvzMwzNv\ zNvzNvzNvzNvzNvzzvzNvzNvzzvzNvzNvzzuzNuzNuzNuzNuzz\ uzzuzNuzzuzzuzNuzzuzNtzztzztzNtzztzztzNtPztzNtOztz\ NtNztzNsNzszNsMzszNsLzszNsLzszNsKzszNsJzszNsIzrzNr\ IzrzNrHzrzNrGzrzzrzzrzNrFzrzNrEzqzNqDzqzNqCzqzNqCz\ qzzqzzqzzqzzqzzqzzpzAgc9lcPdjdbqehpedpeipeepehpjio\ flufhofhofiofnnfdnfonUpngknglmgrmgmmgsmgnmfolegkdh\ jdeicbhbZgaWfaTe`Pd_McHHO } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 12-11-09 (Is it Beautiful? [6])
by Jim Muth 11 Nov '09

11 Nov '09

FOTD -- November 12, 2009 (Rating 6) Fractal visionaries and enthusiasts: I rated today's image at a 6, though I can really see nothing in it that might earn such a rating. The image is a hopelessly scrambled scene in the Z^(1.618)+C Mandeloid as it appears 34 levels up the complex logarithmic ladder when no function is applied. The parent fractal is shaped like a rough M-set with the largest bud facing southeast. A blunt valley lies on the southeast edge of this large bud, roughly dividing it in half. Today's scene shows the chaotic detail surrounding a tiny minibrot near a larger minibrot located moderately deep in this valley. The name "Is it Beautiful?" expresses the way I feel about most scenes in the Mandeloids with exponents between 1 and 2. The image certainly is chaotic enough, but is it beautiful? Well, they say that beauty lies in the eye of the beholder, so I guess it's up to the individual viewer to behold the image and decide. The decision can be made easier by running the included para- meter file and waiting 8 minutes. The easiest way to see the image is to view it in finished form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a temperature of a chilly 54F 12C kept a damper on things here at Fractal Central on Wednesday. The fractal cats checked the conditions once or twice, then decided to devote their energy to getting food. For me it was an average day. The next FOTD will be posted in 24 hours. Until then, take care, and things have to get better because they couldn't possibly be worse. . . . (Want to bet?) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Is_it_Beautiful? { ; time=0:08:48.29-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.903303708209915/-0.6131802932418218/\ 7.733648e+007/1/2.5/0 params=1.618/0/34/0 float=y maxiter=12000 inside=0 logmap=886 periodicity=10 colors=000ck0J_IDaN8bS3cW2_T2XQ2UN1QL1NI1KF1HC0DA0\ A70740421GD1SN1bX1_Q1YJAXNJWRSVV`UZiTbrSfzRiyRgyRe\ yRdxRbxR`xR_wRYwRXwRVvRTvRSvRQuROuRNuRLuRKrUMpWOmZ\ Qk`RicTfeVdhWbjY_m_YoaWrbTtdRwfPygbDtgGjkI`pLStNIx\ P9tQDqRGnSKjTNgURdVU`WXYX`VYcRZgO_jL_mJYdIXXGWOFVG\ M_JTdL_hNfmPmqRtvTzzVzzUzzTzzSzzRzzBzzKzzTnp`tpizp\ quorqnsmnthmudlv`lvZmrYzoXzkWzhVzdUzaTzYOzeUzfzzgz\ zhzzizzjzzkzzjzzjzzizzizzhzzhzzgzzgzzczz`zzYcWcCUU\ CUUGUUJUZMKMPL9NJCMIFLHHKFKJENHDPGBSFAUE9UcTUUUUcU\ UUUUcUUUUUcUUcUUO3AN69M89LA9KC8JE8IG8HI7GK7FM7FO7X\ dLnuZ`kPOaFRaETaEWTAYXD_aDbaDdaCfaCiaCkQBnaBpaBraA\ uaAsYAyaAwZ9uW8sT8rR7oO7nL6lJ6kG5iD4gA4f83e53d22c0\ 2d53eA3e43fF3fK4gP4hU4jZ4lc4mh5omzom5pmzpm5jm9emz`\ mGWmKzmzzmRzmUzmz7m`zm_zmzzmYzzzzzXzzzzzVzzzzzUzzz\ zzSzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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