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FOTD 16-10-10 (Time to Trap a Fly [7])
by Jim Muth 15 Oct '10

15 Oct '10

FOTD -- October 16, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a ghost of its former self. Actually, it's an evaporated scene in the parent fractal that results when various portions of Z^(-1.4) and Z^(-4.1) are mixed and (1/C) is added on each iteration. The color section of the parameter file is so short because the image uses only 43 colors, but those 43 do the work of a full 255. The active inside fill of 'bof60', is a rather unusual one for me to use. The name "Time to Trap a Fly" came about when something in the image reminded me of a Venus Fly-trap plant. The rating of a 7 makes running the parameter file worth the 2 minutes required to finish. The already finished image may be viewed on the FOTD web site at: <http://www.Nahee.com/FOTD/> Friday passed uneventfully here at Fractal Central, with clouds but no rain, and a temperature of 61F 16C. The fractal cats had an equally uneventful day. The next FOTD will be posted in a matter of hours. Until then, take care, and watch out for the fractal ghosts. They can be hauntingly beautiful Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Time_to_Trap_a_Fly { ; time=0:02:29.62-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.83036955877/-0.09596038543/462548/1/\ 75.5/0 params=4/-1.4/1/-4.1/0/1e+100/0/0 float=y maxiter=1800 inside=bof60 logmap=yes periodicity=6 colors=000zTcxScvRctQcrPcoOclNdjMeiLdhKcgJbeIadH`d\ G_cFZcH`dIbdKddMfdNhePjeRleTnfUpfWrf_tfcuihqlmmnri\ qvetzantdgog`jjXffTbbPYZLSVGMRCHN8BJ000<211>000 } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Green Filaments
by Roger Alexander 14 Oct '10

14 Oct '10

Summer is over and fall has started. Today's fractal remembers the green which has not completely faded. Both gif and re-sampled jpg posted at the usual http://maxitersfractalfollies.blogspot.com As promised yesterday's image has been re-sampled and posted. Green Filaments { ; fract470.gif ; blank ; calctime 0:01:44.75 ; created Oct 14, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=field3_jul center-mag=0.0829957/0.59665/2.9036 params=0.375/0.5/100000000/4 float=y maxiter=1500 inside=0 decomp=256 colors=0100200300400500700800900A00B00D00E00F00G00H00J00K00L00M00N00P00Q\ 00R00S00T00V00W00X00Y00Z00`00a00b00c00d00f00g00h00i00k00k01k02k03l04l05l\ 05m06m07m08n09n0An0Bo0Bo0Co0Dp0Ep0Fp0Gp0Hq0Hq0Iq0Jr0Kr0Lr0Ms0Ns0Ns0Ot0Pt\ 0Qt0Ru0Su0Tu0Tu0Uv0Vv0Wv0Xw0Yw0Zw0Zx0_x0`x0ay0by0cy0dz1dz1ez1ez1fz2fz2gz\ 2gz2hz3hz3iz3iz3jz4jz4kz4kz4lz5mz5mz5nz5nz6oz6oz6pz6pz7qz7qz7rz7rz8sz8sz\ 8tz8uz9uz9uz9tz9tz9tz9sz9sz8sz8rz8rz8rz8qz8qz7qz7pz7pz7oz7oz7oz6nz6nz6nz\ 6mz6mz6mz5lz5lz5lz5kz5kz5kz4jz4jz4iz4iz4iz4hz3hz3hz3gz3gz3gz3fz2fz2fz2ez\ 2ez2dz1dz1cz1bz1ay1`y1_y1_x1Zx1Yx1Xw1Ww1Vw1Uv1Uv1Tv1Su1Ru1Qu1Pt1Ot1Ot1Nt\ 1Ms1Ls1Ks1Jr1Ir1Ir1Hq1Gq1Fq1Ep1Dp1Cp1Co1Bo1Ao19n18n17n16m06l06k06j06i06h\ 06g06f05e05d05c05b05a05`05_05Z04Y04X04W04V04U04T04S04R03P03O03N03M03L03K\ 03J03I02H02G02F02E02D02C02B02A0190180170160150140130010 } frm:field3_jul { ; Kerry Mitchell 20jan98 ; ; Colors Julia sets by nearest approach to ; period 3 field lines ; ; use decomp=256 ; p1 = Julia parameter ; real(p2) = bailout (try 1e12) ; imag(p2) = number of field line to use: ; 0, 1, 2, 3, 4, 5, 6, 7 ; 3 iterations per pixel ; variable zc used for calculation, z for coloring ; zc=pixel, c=p1, maxr=real(p2), minr=maxr, iter=1 fieldangle=tan(imag(p2)*2*pi/7): ; ; iteration ; compare tangent of polar angle with desired ; field line angle, update minimum if needed ; iter=iter+3, zc=sqr(zc)+c, zc=sqr(zc)+c, zc=sqr(zc)+c rzc=|zc|, tanangle=imag(zc)/real(zc), r=cabs(fieldangle-tanangle) if (r<minr) minr=r end if ; ; 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)) end if iter>0 } Roger Alexander

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FOTD 15-10-10 (Dancing Lepidoptera [7])
by Jim Muth 14 Oct '10

14 Oct '10

FOTD -- October 15, 2010 (Rating 7) Fractal visionaries and enthusiasts: Once today's image is viewed, the reason for the name "Dancing Lepidoptera" will be obvious. The rating of a 7 is right on the mark. And btw, a lepidoptera is a butterfly. The scene is located in the remains of the northern branch of Seahorse Valley of the decaying large minibrot on the main stem of the parent fractal. This parent is a Mandelbrot set on its surface, but in its depths, it becomes an order-7 Mandeloid. I particularly enjoy the seven totally-separated butterfly-like elements surrounding the central near-perfect order-7 minibrot. The calculation time of 8 seconds is no mistake. The image actually does finish in this brief time span. Of course, setting up this letter as a parameter file for calculation is a minor hassle, but this hassle may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Thursday was a most unpleasant day here at Fractal Central. The day began with fog. By 10am a chilly rain had set in, which continued off and on, mostly on, through the day, while the temperature hovered around 48F 9C. The fractal cats avoided the unpleasantness by spending the day near the heat and eating an extra treat of tuna and cheddar. Except for the routine things that pass every day without notice, my day was uneventful. FL kept busy writing a word- search puzzle. The next FOTD will be posted in 24 hours. Until then, take care, and bad things happen to good people for the same reason that good things happen to bad people. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= DancingLepidoptera { ; time=0:00:08.01-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.763845130568216/+0.00640222373378594\ /2.281007e+010/1/-75/0 params=7/1000000/0/0 float=y maxiter=400 inside=0 logmap=12 periodicity=6 colors=0001Ic5Jc9KcDLcHMcLNcROcWPc_QcbRceScgTcgUcg\ TchSchRchQcAAA000KHKTLNXPQ_TScXUf`XjdZmh`qlctpeztg\ zrcup_znWtlSzjOzhKzfGqdCzeBzfAzg9hh8zi7zj6zj5_k4zl\ 3Vm2Tn1Ro0Po0Qi4Rd8SZCTUGUOKUJOIwqMhsPVuTGwW2x_5ub\ 8seBqhDolGmoJkrMiuOgoPijQjeRk`SmWTnRUoMVqHWrCXsEan\ GejIieJmaMl_OlYQlXSkVVkUXkSZjR`jPcjNeiMgiKiiJlhHnh\ GphErhDhdKZ`RQYYGUd7RjDTeIUaNVYSWUXYPaZLf_Hk`Di_Gg\ _JeZMcZOaYR`YUZXXXXZVXaTWdSWgQViOVlMUoKUrJUtK`uLfu\ MmuMsuLoqKlmKiiJffJcbI`ZHXVHUSGROGOKFLGFIDHGEIFFJE\ FKCGMBHNAHO8IP7JR6JS4KT3LU2LV9QWGUXMYYTaZ_e_ei`lma\ sqbyudureqpfnnhjligijcgl`emXcnU`pQZqNXrJVsGTtKStOR\ tSRuWQu_QubPufPvjOvnOvrNvuNsrPppRmnTklUhiWegYbe_`c\ `_bb_bdZafZahZaiY`kY`mX_oX_pX_rWZtWZvWZwXYuYYsZYr_\ Xp`XoaXmbWlcWjdWieVgfVfgVdhUciUaiU`EEUBUX8hZEdXJaV\ OYTTVRYRPcONhKLmHJrDHwAGtCFrDFoEFmFFjHFhIFfJFcKEaL\ EZNEXOE6KY6MY6NY6PY6QY6SY } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] 1 day, 21 hours, 20 minutes, 32 seconds, but worth it :-)
by JackOfTradeZ＠comcast.net 14 Oct '10

14 Oct '10

. how did you go from 8 seconds to 2 days ?? .

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Circles and Curls
by Roger Alexander 13 Oct '10

13 Oct '10

This fractal will definitely be re-sampled soon, hopefully in tomorrow's post. Posting re-sampled images is a great benefit of my blog. The convenience of pre-calculated pars and anti-aliased gifs, who can argue with that? Speaking of blogs go to http://maxitersfractalfollies.blogspot.com to check things out. Circles and Curls { ; needs re-sampling ; fract469.gif ; calctime 0:10:48.62 ; created Oct 13, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=2circles.frm formulaname=cenx=ceny_jul center-mag=-0.545532/-0.10771/17.1126 params=-0.8416089358195745/-0.2229987487411115/0.125/0.3681142612994781/\ 0.5048982207708976/-0.5791192358165227 float=y maxiter=1500 decomp=256 periodicity=0 cyclerange=0/255 colors=DHVCGUBET9DS8BR7AQ69P57O36N24M13L02K02K13L25M36N47O69P7AQ8CR9DSAE\ TBGUCHVDIWFKXGLYHMZIO_JP`KRaLSbMTcOVePWfQXgRZhS_iTajUbkVclXemYfnZgo_ip`j\ qakrbmscntepufqvgrwhtxiuyjvzjvziuyhsxgrwfqvdoucntblsakr`jq_hpZgoYfnWdmVc\ lUbkT`jS_iRYhQXgPWfNUdMTcLSbKQaJP`IN_HMZGLYEJXDIWCHVBFUAET9DS8BR7AQ58P47\ O36N24M13L02K02K13L25M36N47O69P7AQ8CR9DSAETBGUCHVDIWFKXGLYHMZIO_JP`KRaLS\ bMTcOVePWfQXgRZhS_iTajUbkVclXemYfnZgo_ip`jqakrbmscntepufqvgrwhtxiuyjvzjv\ ziuyhsxgrwfqvdoucntblsakr`jq_hpZgoYfnWdmVclUbkT`jS_iRYhQXgPWfNUdMTcLSbKQ\ aJP`IN_HMZGLYEJXDIWCHVBFUAET9DS8BR7AQ58P47O36N24M13L02K02K13L25M36N47O69\ P7AQ8CR9DSAETBGUCHVDIWFKXGLYHNZIO_JP`KRaLSbMTcOVePWfQYgRZhS_iTajUbkVclXe\ mYfnZho_ip`jqalrbmscntepufqvgswhtxhtxiuyhtxgrwfqveoucntbmsakr`jq_ipZgoYf\ nXdmWclVbkT`iS_hRZgQXfPWeOUdNTcMSbLQaKP`IO_HMZGLYFJXEIW } frm:cenx=ceny_jul {; Kerry Mitchell 26aug98 ; ; See the end of the formula general_man-2circ for ; Kerry Mitchell's explanation of the "2 circles ; coloring method". ; ; "2 concentric circles" coloring method for Julia sets ; p1 = c = Julia parameter ; p2 = (both) circle center ; real(p3) = x-circle radius ; imag(p3) = y-circle radius ; bailout hardcoded to 10^12 ; use "decomp=256" coloring ; zc=pixel, c=p1, bailout=1e12, iter=1, rmin=1e12 cenx=p2, radx=real(p3), rad2x=radx*radx ceny=cenx, rady=imag(p3), rad2y=rady*rady: iter=iter+1, zc=sqr(zc)+c tempx=|zc-cenx|-rad2x tempy=|zc-ceny|-rad2y temp=tempx+flip(tempy), r=|temp| IF (r<rmin) rmin=r, z=temp ENDIF IF ((|zc|>bailout)||(iter==maxit)) iter=-1 ENDIF iter>0 ;SOURCE: 98msg.frm } Roger Alexander

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FOTD 14-10-10 (Sparkling Waters [7])
by Jim Muth 13 Oct '10

13 Oct '10

FOTD -- October 14, 2010 (Rating 7) Fractal visionaries and enthusiasts: While viewing the image that Roger posted to the list Tuesday evening, I became so interested in the curious formula that I checked to see what I might be able to do with it. Returning to the default parameters of 0,0 and magnitude of 0.67, I found today's scene in one of the vague bud valleys of the Mandel-like parent. I have never seen anything quite like the image I came up with. When rendered at a very high resolution, it almost looks like a true-color image, though the standard 640x480x256 rendering creates a rather gritty but still notable scene. The scene itself is apparently a minibrot in the East Valley area of a larger minibrot. The parent fractal however consists of only the western half of a Mandelbrot set, with no East Valley, so today's image must lie in the East Valley area of a minibrot on the filament extending from the largest bud. I named the image "Sparkling Waters". Something about it reminds me of a just-opened bottle of soda water. The rating of a 7 seems about right. The calculation time of a mere 2-1/4 minutes actually seems a bit too brief for such a detailed image, but that's the way fractals are. The image may be viewed by saving this entire letter in DOS text mode with a .par extension, copying it into your Fractint directory, and running it as you would any other parameter file. Or all this work may be avoidved by going to the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image posted there. Near perfect though slightly chilly conditions prevailed here at Fractal Central on Wednesday, with cloudless skies and a tempera- ture of 61F 16C. The fractal cats slept in the sun to ward off the slight chill. My day was average, which is the way I like things. The next FOTD will be posted in 24 hours. Until then, take care, and the here and now is but an infinitesimal hyperplane sliced from the infinity of spacetime. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Sparkling_Waters { ; time=0:02:16.87-SF5 on P4-2000 reset=2004 type=formula formulafile=shells.frm formulaname=NovenaM2 passes=1 center-mag=+0.384602701512/-0.621157851044/2409632\ /1/-132.5/0 params=0/0/0/0 float=y maxiter=32000 inside=255 periodicity=0 colors=000mzzmxzrwzquzpszoqznozmmzlkzkizggzcez_czW\ azS_nOYnLViIReFMaCIY9DT69N34J00E01A02A02A03I04I04I\ 0BI0HIJNIHTIFZII_GK`FMaEPbDRcCTcBWdAYe9_f8bg7dh6fh\ 5YeGQbRI``AYk2WuJuONkPRbPVUPZUz_UzaUz_Uz`UzbUzcUzd\ WzfZzg`zhcmj`mkcmqecnhctjczzzzwzzzmzwzzzmzwRzmPvkN\ vjKviIviGvhEvgCvgAreCndDkbEgaFd_G`ZHXXIUWJQUKNTLJR\ MGQNLPQQOTVNWZNZcM`hLclLfqKivJlzJnyFpxCqx9sw6tw3ur\ 5rn7oj8leAiaCfYDcTF`PHYLIVGKSCMP8NNAPLCRJDTHFVFGXD\ IZBK`9Lb7Nd5Of3Qh1Rj0Sk3Sk5Sk7TlATlCTlETmHUmJUmLUn\ OUnQVnSVoVVoXVoZ21V74UB7TFASJDRNFQRIPVLOZONbRMfTLb\ SP_SSWSVTSYQS`MSdJSgFSjCSm9SpBUnCVlDWjEXhFYfHZdI_b\ J``KaZLbXNcVOdTPeRQfPRgNShMSgQSgTSgXSg_SgcSgfVThYE\ j`0lY4jW7iUBhREgPIfNLeTSiZZlcdoiksorvtxyolmk`bgPSc\ DH_LLWTPS_SOgWKo_HvbWjhiZmwNrvOmvPhvQcsVfp_hnckkhm\ iloknklpgmrcnt_ovWpwTfqYYkaOeeF_i6Um5Ydzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzmmm } frm:NovenaM2 {; Another Mandelbrot-like set for Novena. ; The Nova Formulae, discovered by PGD. ; Freely distributable but may not be sold. z=-0.5+(-1.75)^(0.5) c=pixel: z2=z*z z3=z*z2 func=z3+z-2 der=3*z2+1 oz=z z=z-(func/der)+c |oz-z|>p2 } END PARAMETER FILE=========================================

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Blue Shells
by Roger Alexander 12 Oct '10

12 Oct '10

This image suggests sea shells on the shore of some distant planet. At the usual http://maxitersfractalfollies.blogspot.com Yesterday was the Canadian Thanksgiving holiday. As a matter of trivia, in Lithuania Canadian Thanksgiving is almost as popular as Festivus! Blue Shells { ; fract468.gif ; blank ; calctime 0:29:13.10 ; created Oct 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_n.frm formulaname=NovenaM2 center-mag=+0.31907977426182810/-0.55275782073055070/172.6108 params=0/0/1e-006/0 float=y maxiter=1500 inside=0 proximity=1 outside=fmod periodicity=0 colors=hzzgzzfzzezzdzzczzbzz`zz_zzZzzYzzXzzWzzVzzTzzSzzRzzQzzPzzOzzMzzLz\ zKzzJzzIzzHzzGzzEzzDzzCzzBzzAzz9zz7zz6zz5zz4zz3zz2zz0zz0zz0yz0yz0xz0wz0w\ z0vz0uz0uz0tz0sz0sz0rz0qz0qz0pz0oz0oz0nz0nz0mz0lz0lz0kz0jz0jz0iz0hz0hz0g\ z0fz0fz0ez0dz0dz0cz0bz0bz0az0az0`z0_z0_z0Zz0Yz0Yz0Xz0Wz0Wz0Vz0Uz0Uz0Tz0S\ z0Sz0Rz0Qz0Qz0Pz0Pz0Oz0Nz0Nz0Mz0Lz0Lz0Kz0Jz0Jz0Iz0Hz0Hz0Gz0Fz0Fz0Ez0Dz0D\ z0Cz0Cz0Bz0Az0Az09z08z08z07z06z06z05z04z04z03z02z02z01z00z00z00z00y00y00\ x00x00w00w00v00v00v00u00u00t00t00s00s00r00r00r00q00q00p00p00o00o00n00n00\ n00m00m00l00l00k00k00j00j00j00i00i00h00h00g00g00f00f00f00e00e00d00d00c00\ c00b00b00b00a00a00`00`00_00_00Z00Z00Z00Y00Y00X00X00W00W00V00V00V00U00U00\ T00T00S00S00R00R00R00Q00Q00P00P00O00O00N00N00N00M00M00L00L00K00K00J00J00\ J00I00I00H00H00G00G00F00F00F00E00E00D00D00C00C00B00B00A } frm:NovenaM2 {; Another Mandelbrot-like set for Novena. ; P2 is an inverse bailout, ; set this to a small nonzero value and use ; floating point. E.g. 0.0000001. ; The Nova Formulae, discovered by PGD. ; Freely distributable but may not be sold. z=-0.5+(-1.75)^(0.5) c=pixel: z2=z*z z3=z*z2 func=z3+z-2 der=3*z2+1 oz=z z=z-(func/der)+c |oz-z|>p2 ;SOURCE: nova.frm } Roger Alexander

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FOTD 13-10-10 (The Fastest Way There [No Rating])
by Jim Muth 12 Oct '10

12 Oct '10

FOTD -- October 13, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's lightning fast image is a Julia view of yesterday's tortured Rectangular scene, which itself is a different view of the Mandelbrot image of October 10. Today's FOTD image is a near exact repeat of the October 10 image, with a circular hole at the center rather than a Mandel- oid minibrot. This is why I could give it no rating. But there is a tremendous unseen difference between the images. The Octo- ber 10 image has a magnitude of 4*(10^011), while the magnitude of today's view is 8*(10^004). The Julia aspect is 5,000,000 times as large as the Mandelbrot aspect. This size disparity is the reason the Rectangular view of yesterday, which uses parts of both the Mandelbrot and Julia views, is so tortured. To preserve the colors of the first image, I kept the same color palette, though I did add a few new highlights to hold boredom at bay. The name "The Fastest Way There" refers to the speed of today's Julia aspect, which, with its calculation time of only 20 seconds is faster than even the Mandelbrot aspect. All this time confusion may be avoided however by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The overnight showers moved out early here at Fractal Central on Tuesday, leading to a pleasant, partly cloudy afternoon with a temperature of 72F 22C. The fractal cats approved heartily. My day was typical -- occupied with the kind of routine things that are forgotten almost as soon as they happen. I think FL is about finished with gardening for this season, though a few minor chores still remain to be finished. The next FOTD will be posted in 24 hours. Until then, take care, and the future is but the reciprocal of the past. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= TheFastestWayThere { ; time=0:00:20.65-SF5 on P4-2000 reset=2004 type=julia center-mag=0/0/84415/1/45/0 params=-1.779820675627452/3.688441016998832e-011 float=y maxiter=40000 inside=255 logmap=-4416 periodicity=0 colors=000QWtQVsPUsOSrORrNQqNPqMOpLMpLLoKKoJJoJInI\ GnIFmHEmGDlGClFAkE9kE8jD7jD6jC5hC5gB5eB5dB5cA4aA4`\ 94Z94Y94X84V83U83T73R73Q63O63N62M52K52J42H42G41F31\ D20231C31B219218106105104002001000zzzzzzvwprtgmqdi\ ocfmbckaai`_g_YeZWcYUaXS`WQ_VOZUMYUKXTIWSGVREUQCTP\ ASO8RN6QM4PL2OK0NJ0MI0LH0KG0JF0IF0GE0ED0DC0BB09A08\ 9058027006005004003002001000FUHESGDRFDQFCPECODBNDA\ LCAKB9JB9IA8H98G97F86D76C75B65A54954943932A32F21K1\ 1P10U0KZBcWAhU9mS8rQ8vO7zL6zJ6hH58F47D46A358236224\ 1120x9ut8rq8on7lk7ih6fe6cb5`_5YX4VU4TR4QO3NL3KI2HF\ 2EC1B918605302z6ez5dz5cz5bz5bz5az5`z5`z5_z5Zz5Zz4Y\ z4Xz4Xz4WzUVzUVzUUzUTzUTzUSzURzURzUQzUPzUPzUOzUNzc\ NzcMzcLzcLzcKzcJzcIzcIzcHzcGzcGzcFzcEzcEzcDzcCzcCz\ cBzcAzcAzc9zc8zc8zm7zm6zm6zm5zm4zm4zm3zm2zm2zm1zm0\ zz8zz7zz7zz7zz7zz7zz7zz6zz6zm6zm6zm6zm6zm6zm5zm5zm\ 5zm5zm5zm5zm4zm4zm4zm4zzz } END PARAMETER FILE=========================================

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1 day, 21 hours, 20 minutes, 32 seconds, but worth it :-)
by Richard 12 Oct '10

12 Oct '10

FOTD for August 26th, 2010 "Second-Hand Seahorse" 3x antialiasing 1600x1200 <http://www.xmission.com/~legalize/fractals/fotd/2010/08/2010.08.25-SecondHa…> -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> Legalize Adulthood! <http://legalizeadulthood.wordpress.com>

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FOTD 12-10-10 (Z Squared Plus C [6])
by Jim Muth 11 Oct '10

11 Oct '10

FOTD -- October 12, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's tortured image is another aspect of the little Mandel- brot minibrot that appeared two days ago as the FOTD of October 10. That image was unmistakably a Mandelbrot-plane scene, but today's image is sliced in the Rectangular direction, which leaves little but the same colors to recognize. I wanted to do something more with the original image. My first impulse was to check the same scene in the Julia direction. The resulting circular hole was not very interesting however. So I tried the Rectangular direction, and look at what happened. To begin, the calculation time increased nearly 100 times to 45 minutes, which shows the efficiency of the type=mandel formula of Fractint. The original 2-lobed basin has been twisted and stretched to a point where it is almost painful to look at. The central minibrot is stretched into a slit so narrow that it has virtually vanished. I did tweak the colors a bit, though not enough to give myself extra points. The name "Z Squared Plus C" implies that the generating formula is the same; only the orientation has been changed. The rating of a 6 seems about right. The calculation time of 45 minutes will definitely not pass in a flash, which is why I recommend viewing the image already calculated on the FOTD web site at: <http://www.Nahee.com/FOTD/> Monday began well enough here at Fractal Central, with lots of sun and a temperature of 79F 26C, but at 4pm the sky clouded over and a minor thundershower moved in, dropping the tempera- ture to 64F 18C. The fractal cats took all this in stride, more concerned about food than the weather. My day was about average. Most likely tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and where did we go wrong? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Z_Squared_Plus_C { ; time=0:45:08.14-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=Rectangular center-mag=+0.000000000001\ 01005/-0.00000000000148829/2.16213e+011/0.04251/\ -114.506625219024372/-84.326593494906632 params=-1.779820675627452/3.6884410169988e-011/-1.\ 779820675627452/3.6884410169988e-011 float=y maxiter=40000 inside=255 logmap=-9114 periodicity=6 mathtolerance=0.05/1 colors=000QVtQUsPTsOSrORrNQqNPqMOpLMpLLoKKoJJoJInI\ GnIFmHEmGDlGClFAkE9kE8jD7jD6jC5hC5gB5eB5dB5cA4aA4`\ 94Z94Y94X84V83U83T73R73Q63O63N62M52K52J42H42G41F31\ D20231C31B219218106105104002001000zzwyzwxwwutprqjo\ pgmodknbim`gl_ekZcjYaiX_hWYgVXeUWcUVbTUaST`RS_QRYP\ QWOPUNOSMNRLMQLLQLKQLJPLIPLHPLGPKENICKGAIE9GC8EA7D\ 96B85A7496385274153042031020FUHESGDRFDQFCPECODBNDA\ LCAKB9JB9IA8H98G97F86D76C75B65A5495484363253242131\ 121010KZBIWAHU9GS8FQ8DO7CL6BJ6AH58F47D46A358236224\ 1120x9ut8rq8on7lk7ih6fe6cb5`_5YX4VU4TR4QO3NL3KI2HF\ 2EC1B918605302z6ez5dz5cz5bz5bz5az5`z5`z5_z5Zz5Zz4Y\ z4Xz4Xz4WzUVzUVzUUzUTzUTzUSzURzURzUQzUPzUPzUOzUNzc\ NzcMzcLzcLzcKzcJzcIzcIzcHzcGzcGzcFzcEzcEzcDzcCzcCz\ cBzcAzcAzc9zc8zc8zm7zm6zm6zm5zm4zm4zm3zm2zm2zm1zm0\ zz8zz7zz7zz7zz7zz7zz7zz6zz6zm6zm6zm6zm6zm6zm5zm5zm\ 5zm5zm5zm5zm4zm4zm4zm4zzz } frm:Rectangular {; Jim Muth imag(z),imag(c) z=flip(real(pixel))+p1, c=flip(imag(pixel))+p2: z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

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