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FOTD 11-10-10 (Hyper-Hyper Things [5])
by Jim Muth 11 Oct '10

11 Oct '10

FOTD -- October 11, 2010 (Rating 5) Fractal visionaries and enthusiasts: I am fully aware that today's FOTD is late. The excuse is that I got lazy. The image shows a scene on a filament extending from the north- east shore line of the large minibrot on the main stem of the Hypercomplex Mandelbrot set. I named the image "Hyper-Hyper Things" because of the strange minibrot at the center, where two Mandelbrot sets that normally coincide are beginning to separate and the two copies of the same minibrot are starting to obliterate each other -- kind of a self-destruction. The elements surrounding the minibrot are also starting to interfere and self-destruct. The rating of an everyday 5 is an admission that I put almost no effort into the image, which calculates in a speedy 37 seconds. The image may also be seen on the FOTD web site at: <http://www.Nahee.com/FOTD/> where it is posted in finished form. Perfect weather continued here at Fractal Central on Sunday, with cloudless skies and a temperature of 70F 21C, which the fractal cats considered absolute perfection. My day was so peaceful that I neglected the Fractal of the Day, one of the few times this has happened. Meanwhile, FL kept busy putting her garden to sleep. (I didn't know gardens were so hard to put to sleep.) At the present time, (2:30pm Monday, Oct 11), I estimate that the next FOTD will be posted on schedule in about 9 hours. Check back then to see if it makes it. Until whenever, take care, and search for a solution to the problems of the world. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Hyper-Hyper_Things { ; time=0:00:55.15-SF5 on P4-2000 reset=2004 type=hypercomplex function=sqr passes=1 center-mag=-1.746664602347/+0.008703241929/9882150\ /1/-102.5/0 params=0/0/2e-009/1e-009 float=y maxiter=750 inside=0 logmap=80 periodicity=0 colors=000AHUBJUCLUDNUEPUFRUGTUIVUJXUKZUM`UNbUOdUQ\ eURgUSiUUjUViUWgUXeUZcU`aUa_U_YUXWUUTURRUOPTKOSHLR\ EHQBEP8BL56F740A20G0KNALUKM`UNg`OkgPojQsgRw_RzcOvh\ MrmKmrIhvGczEZvGUrIPmJVhL`cMfZOlUPnPNoNLpNJqOHrOFz\ PDzPBzQ9zQ8zOAzNCzLEvKFsIHmHJkFLiEMgCOfBQd9Sc8Ta6V\ `5XZ3ZY2_V9bTGeRNgOTjM_lKfoIlqLimOgjRegUcdXaa_ZYbX\ VeVShTPkRmnOmqMmtKmwImzGmwGmuGwsGwqGwoGwmGMkGOiGRg\ GTeGWcGYaHV`HTZHRYHOWIMVIKUIHSIFRJDPJAOJ8NJ6JH9GFC\ DEF9CH6BK39N08P5DS9IUENXISZNXaRacWff_khcpjar`_sSZu\ IXv9Ww0xcruensfkqggoidmj`kkYimUgnReoNcpKdoJdnIdmId\ lHdkHdjGdiFdhFdgEdfEdeDddCdcCdbBdbB_eAWhARj9Nm9Ip8\ Er89u75x71z7Ku9aqAsmBtjCuhDueDvcEv`EwZFxWGxUGyRHyP\ HzMIzKIyLLyMNxMQxNSwOVwOXvP_vQavQctPbsObqNbpMbncam\ cakcajcaic`gh`fkcdnhcqmatr`wv_zzUzzPzzKzzFzzAzz5zz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Lacey Blue
by Roger Alexander 10 Oct '10

10 Oct '10

Look at the calendar- it's national 10-10-10 day! I don't know about you but I had the traditional dinner of a cheese and sauce pizza with double cranberry sauce topping. Further in the news acting on a suggestion I am now giving the parset par entries titles instead of gif file names. This is intended to make sorting through the RSS parset feeds a little easier. At the usual http://maxitersfractalfollies.blogspot.com Lacey Blue { ; swirlies ; fract170.gif ; calctime 0:04:42.70 ; blank ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_j.frm formulaname=j_cspiralbullet center-mag=-0.0700876/2.22045e-016/0.8912656/1/75/3.88578058618804789e-0\ 16 params=-0.1322367015594958/-0.2129886776329844 float=y maxiter=1500 inside=0 colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:j_cspiralbullet(XAXIS_NOIMAG) { ;needs floating point! ;default for p1=0.4 p=p1,p=p+(|p|==0)*0.4 z=y=pixel: z=y/z+p y=z*y-p |z|<1e6 ;SOURCE: julhack.frm } Roger Alexander

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Intimations of the Organic
by Roger Alexander 09 Oct '10

09 Oct '10

The image is the result of inorganic calculations but intimates red blood, the organic. Numbers are the product of the human mind. Life analyzes itself. Ready made at http://maxitersfractalfollies.blogspot.com. fract133.gif { ; hemoglobin ; blank ; calctime 0:00:54.27 ; created May 01, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_g.frm formulaname=general_jul-c&l center-mag=0/0/0.6666667 params=0.8193304239020965/0.4449903866695151/1.456068605609302/0.1237220\ 374156926/0.1573534348582415/0.5277260658589434 float=y maxiter=1500 inside=0 proximity=3 outside=fmod 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:general_jul-c&l { ; ; For Kerry Mitchell's explanation of the "circle & line" ; coloring method, see the end of formula ; general_man-c&l ; ; "general circle & line" coloring method for Julia sets ; c = Julia parameter, hardcoded ; p1 = x-circle center ; real(p2) = x-circle radius ; imag(p2) = y-line a ; real(p3) = y-line b ; imag(p3) = y-line c ; bailout hardcoded to 10^12 ; use "decomp=256" coloring ; zc=pixel, c=(0,1), bailout=1e12, iter=1, rmin=1e12 cenx=p1, radx=real(p2), rad2x=radx*radx ay=imag(p2), by=real(p3), cy=imag(p3): iter=iter+1, zc=sqr(zc)+c tempx=|zc-cenx|-rad2x tempy=ay*real(zc)+by*imag(zc)+cy 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 10-10-10 (Lost in Hyperspace [8.5])
by Jim Muth 09 Oct '10

09 Oct '10

FOTD -- October 10, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image rates an 8.5, and most of this is pure serendip- ity. Returning late in the day on Saturday after an antiquing trip, I found myself pressed to find a worthwhile fractal in a hurry. After all, the date is 10-10-10, and I would never want to permit such a notable date pass without an unusual fractal. Once again, my old friend the Mandelbrot set came to the rescue. Checking the East Valley area of the large minibrot on the main stem, I found today's curious minibrot. At first the shy fellow made little impression, but as I began changing and cycling the colors, the present color palette suddenly fell into place. Ninety-percent of the coloring was done by the Fractint program, which occasionally appears to be almost conscious of the things it is doing. I needed to tweak only a few registers to create the image. The rating of an 8.5 is fully justified. The name "Lost in Hyperspace" describes the actual physical location of the scene. The calculation time of 35 seconds will waste no one's time. And as always, the finished image is avail- able for instant viewing on the FOTD web site at: <http://www.Nahee.com/FOTD/> Perfect weather prevailed once again here at Fractal Central on Saturday, with conditions an exact repeat of yesterday's. The fractal cats likely spent the day sleeping, watching the leaves turn colors and checking the stray cats that wandered into view. My day was as good as could be expected; FL had a similar day. The next FOTD will be posted in 24 hours. Until then, take care, and those who fear to delve into the mysteries must remain forever unenlightened. But always remember that one person's enlightenment is another person's superstition. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Lost_in_Hyperspace { ; time=0:00:35.15-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.7798\ 20675627445/+0.00000000003688434/4.650485e+011/1/\ 50/0 params=0/0 float=y maxiter=40000 inside=255 logmap=-9114 periodicity=6 mathtolerance=0.05/1 colors=000QWtQVsPUsOSrORrNQqNPqMOpLMpLLoKKoJJoJInI\ GnIFmHEmGDlGClFAkE9kE8jD7jD6jC5hC5gB5eB5dB5cA4aA4`\ 94Z94Y94X84V83U83T73R73Q63O63N62M52K52J42H42G41F31\ D20231C31B219218106105104002001000wzhmzgcwfUteKqd2\ pc2ob2na2m`2l_2kZ2jY2iX2hW2gV2eU1cU1bT1aS1`R1_Q1YP\ 1WO1UN1SM1RL1QK1PJ1OI1MH1LG1KF0JF0IE0GD0FC0EB0DA0C\ 90A8097086075064043032021010FUHESGDRFDQFCPECODBNDA\ LCAKB9JB9IA8H98G97F86D76C75B65A5495484363253242131\ 121010KZBIWAHU9GS8FQ8DO7CL6BJ6AH58F47D46A358236224\ 1120x9ut8rq8on7lk7ih6fe6cb5`_5YX4VU4TR4QO3NL3KI2HF\ 2EC1B918605302z6ez5dz5cz5bz5bz5az5`z5`z5_z5Zz5Zz4Y\ z4Xz4Xz4WzUVzUVzUUzUTzUTzUSzURzURzUQzUPzUPzUOzUNzc\ NzcMzcLzcLzcKzcJzcIzcIzcHzcGzcGzcFzcEzcEzcDzcCzcCz\ cBzcAzcAzc9zc8zc8zm7zm6zm6zm5zm4zm4zm3zm2zm2zm1zm0\ zz8zz7zz7zz7zz7zz7zz7zz6zz6zm6zm6zm6zm6zm6zm5zm5zm\ 5zm5zm5zm5zm4zm4zm4zm4zzz } END PARAMETER FILE=========================================

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FOTD 09-10-10 (Ghost in the Shell [7])
by Jim Muth 08 Oct '10

08 Oct '10

FOTD -- October 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: Sometimes I feel that I give too little attention to the formulas hard-coded into the Fractint program. Today's image is an attempt to correct this oversight. To find today's image, I brought up the 'barnsleym1' formula. Nothing of much interest happened until I tried the active inside fills on the nearly circular fractal. When I tried the 'zmag' fill, I noticed a curious object on the Y-axis near the top of the parent fractal. Then, when I started adjusting the colors, I spotted a ghostly shadow figure in the center of this object, almost like one of those vague shadows the ghost hunters on TV pick up with their fancy cameras and then claim they have photographed the ghost of a dead person. The image consists totally of 'inside' stuff, though it does not fall into the category of 'evaporated' images. And for an added bit of fractal excitement, check the apparently totally-random stuff at the lower edge of the chaotic area. It gets less random and more interesting the deeper one goes. When FL saw the image, she suggested I name it 'Pilot Light', but being of a philosophical nature, I named the image "Ghost in the Shell", referring to the hypothetical non-material spiritual entity that religion tells us we have within our physical bodies. The rating of a 7 indicates that I consider the image a little above average. The calculation time of 30 seconds will pass faster than a wraith in the night. Those who would rather not be confronted by a wraith may view the finished on the FOTD web site at: <http://www.Nahee.com/FOTD/> Perfect weather prevailed here at Fractal Central on Friday. In this case, perfection is defined as cloudless skies and a temperature of 75F 24C. The fractal cats had their thrill when a stray cat, (of which there are many in the area), wandered onto the porch and left a reminder that he had been there. My day was slightly busy. FL kept busy planting bulbs for next spring. The next FOTD will be posted in 24 hours. Until then, take care, and I'm skeptical of things I cannot see with my own eyes. That's why I don't believe in unseen things like ghosts and atoms, which are widely accepted by the gullible. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Ghost_in_the_Shell { ; time=0:00:30.08-SF5 on P4-2000 reset=1730 type=barnsleym1 center-mag=0/1.0724/\ 7.226736/0.5936 params=0/0 float=y passes=1 maxiter=500 inside=zmag logmap=yes colors=000GezGdzFczFbzEazE`zD_zCYzCWzBUzBSzAQzAOz9\ Mz9Kw8Iu8Gs7Er7Cs6Bt69u57v56v47u48t48t49s4Ar4Ar3Bq\ 3Cp3Cp3Do3Dn2Ij1Ji1Jh1Kh1Kg1Lf1Mf0Me0Nd0Od0Oc0Pb0P\ b7Q`EQ_LRZSRYUVVWUSXUQZUN_UKaUIbUFdUCeUAdUBcUCcUDb\ UEaUFaUG`UH`UI_UJZUKZULYUMXUNXUOWUPWUQXUTYUWZUYZ_`\ __b``e`agabjbblbcocdqdetdevbduact`ctZbsYbrXarV`0U`\ 0T_0R_0QZ0PY0NY0MX0LX0JW0IV0HV08A0AA0CA0EA0GA0IA0K\ A0MA0OA0QA0SA0UA0WA0YA0_A0aA0cA0K0HK0EK0CK0GK0FK0F\ K0EK0EK0EK0DK0DK0CK0CK0BK0BK0AK0AK0AK09K09K08K08K0\ 7K07K07K08K09K0AK0AK0BK0CK0DK0DK0EK0FK0GK0GK0HK0IK\ 0JK0JK0KK0LK0MK0MK0NK0OK0PK0PK0QK0RK0QK0PK0OK0NK0M\ K0LK0KK0KK0KK0KK0KK0KK0KK0KK0KK0KKSbKScKScKRdKRe0K\ z1Ky2Ky2Ky3Kx3Kx4Kx5Kx5Kw6Kw6KwCKwDKvDKvEKvEKuFKuF\ KuGKuHKtHKtIKtIKtJKsKKsKKsLKrLKrMKrMKrPKqOKqOKqPKq\ PKpQKpRKpRKoSKoSKoTKoTKnUKnVKnVKnWKmWKmXKmYKlYKlZK\ lZKl_Kk_Kk`KkaKkaKjhKjhKj } END PARAMETER FILE=========================================

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Blue Radiation
by Roger Alexander 07 Oct '10

07 Oct '10

Today's fractal does not swirl like a spiral but radiates. Generated with inside=fmod coloring using an atypical proximity value of 5. Ready made at good old blogger http://maxitersfractalfollies.blogspot.com. fract462.gif { ; blank ; blank ; calctime 0:08:08.45 ; created Oct 07, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=mand2_zexp_cp_exp center-mag=-0.09774017521902403/+1.02716193656093500/131.0685 params=0.9942625202185126/-0.3566698202459792/0.9555650502029481/0.78637\ 04336680196 float=y maxiter=1500 inside=0 proximity=5 outside=fmod colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:mand2_zexp_cp_exp(XAXIS_NOIMAG) { ;p2 should be min. 1, default=2 x=p2,x=x+(x==0)*2 z=c=pixel: z=(z*z+c)^x-p1 |z|<4 ;SOURCE: mandhack.frm } Roger Alexander

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Astroid, Not Asteroid
by Roger Alexander 07 Oct '10

07 Oct '10

Today's post is an astroid,not the asteroid of Jim Muth's recent post. >From a big rock in outer space to an object on the complex plane - that's a transition! A three color range orbit trap formula by Paul Carlson. Ready made at http://maxitersfractalfollies.blogspot.com fract461.gif { ; astroid not asteroid ; blank ; calctime 0:15:26.65 ; created Oct 06, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_a.frm formulaname=Astroid_Mset passes=1 center-mag=-0.10064490259883670/+0.95634738310731750/334.5786 params=0.3/2/3/85 float=y maxiter=1500 inside=0 outside=summ colors=0z00000y00y00x00x00w00w00v00v00u00u00t00s00s00r00r00q00q00p00p00o\ 00o00n00n00m00l00l00k00k00j00j00i00i00h00h00g00f00f00e00e00d00d00c00c00b\ 00b00a00a00`00_00_00Z00Z00Y00Y00X00X00W00W00V00U00U00T00T00S00S00R00R00Q\ 00Q00P00P00O00N00N00M00M00L00L00K00K00J00J00I00H0z00z00z00z00y00y00y00x0\ 0x00x00x00w00w00w00v00v00v00u00u00u00u00t00t00t00s00s00s00r00r00r00r00q0\ 0q00q00p00p00p00o00o00o00o00n00n00n00m00m00m00m00l00l00l00k00k00k00j00j0\ 0j00j00i00i00i00h00h00h00g00g00g00g00f00f00f00e00e00e00d00d00d00d00c00c0\ 0c00b00b00b00a0000z00z00y00y00x00x00w00w00v00u00u00t00t00s00s00r00q00q00\ p00p00o00o00n00m00m00l00l00k00k00j00i00i00h00h00g00g00f00e00e00d00d00c00\ c00b00a00a00`00`00_00_00Z00Y00Y00X00X00W00W00V00U00U00T00T00S00S00R00Q00\ Q00P00P00O00O00N00M00M00L00L00K00K00J00I00I00H00H00G00F } frm: Astroid_Mset {; Copyright (c) Paul W. Carlson, 1997 ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the astroid ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; ; Note that the equation variable is w, not z. Always ; initialize z to zero. ;**************************************************** w = 0 c = pixel z = 0 bailout = 0 iter = 0 range_num = 0 i = (0,1) r = imag(p1) ;**************************************************** ; In the accompanying par file, astmset.par, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 0 when |w| < 10000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 0 is reserved for the background color and color ; 255 can be used for the inside color. ;**************************************************** num_ranges = real(p2) colors_in_range = imag(p2) ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width = real(p1) index_factor = (colors_in_range - 1) / width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w = w * w + c ;**************************************************** ; The orbit trap curve. This example uses an "astroid" ; curve (which has absolutely nothing to do with huge ; rocks in outer space). Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ang = atan(imag(w) / real(w)) astroid = r * (cos(ang)^3 + i * sin(ang)^3) ;**************************************************** ; If the orbit point is within some distance of the curve, ; set z to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance = abs(|w| - |astroid|) IF (distance < width && iter > 1) z = index_factor * distance + range_num * colors_in_range + 1 bailout = 1 ENDIF ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter = iter + 1 z = z - iter ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout == 0 && |w| < 1000 ;SOURCE: 98msg.frm } Roger Alexander

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FOTD 08-10-10 (Asteroid Submidget [6])
by Jim Muth 07 Oct '10

07 Oct '10

FOTD -- October 08, 2010 (Rating 6) Fractal visionaries and enthusiasts: The asteroid impact FOTD image of October 6 went off with a bang, and yesterday's textured image raised more questions than it answered, so why not return to the scene for a third time today? Today's image shows a curious little minibrot on the broken stem extending up and to the right from the minibrot in the Asteroid image of October 6. Like most all minibrots of such low order, today's minibrot is far from symmetrical. It has most of its interest on its right side, where a strange twisting and broken filament shoots out and ultimately terminates. I named the image "Asteroid Submidget" because that's what it is. I rated it at a 6 because I have seen far better. The calculation time of just under 10 minutes is too slow for an image that rates a mere 6. My advice is to save the time by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Much improved weather arrived at Fractal Central on Thursday. When the sun appeared by 9am, the fractal cats perked up. When the temperature reached 70F 21C, they leaped to their window shelf and checked for unwanted cats, then began chasing each other up and down the hallway. One of them overturned a lamp, but no one saw it happen and both appeared innocent, so the guilty cat will remain forever a mystery. My day was slightly busy, while FL kept equally busy in her garden. The next FOTD will be posted in 24 hours. Until then, take care, and is there a difference between being real and being really real? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Asteroid_Submidget { ; time=0:10:08.46-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-5.611562204517299/-3.172542123229572/\ 8.609708e+009/1/98.9/0 params=1.15/0/0/525 float=y maxiter=32767 inside=0 logmap=604 periodicity=6 colors=000qKanI`lGZjFXgDWeCUcAS`8RZ7PX5NV4MU8NTCOS\ FORJPQNPQQQPUROYRN`SMdSLhTLkTKhRKfPJdOJbMI`LIZJHXI\ HVGHTEGRDGPBFNAFL8EJ7EH5EF4QBMa7cm3uiGZfSCgVBhYBi_\ BcUBcdBcUAccAcUAccAcUAccAccIdPP_AW_0RY2UW3WU5ZS6`Q\ 7cO9eNAgLBjJDlHEoFFqDHtBIvAJxCLsDNoEPkFRfGTbHUZIWU\ JYQK_MLaHMcDNd9SbCW`E__GcYIgWKkVMoTOsSQnROiQNdQM_P\ LWPKUOLTOLROMQOMOONNONLOOKOOJOPHOPGOQEOQDORBORAOS9\ OS8QU7RW7TY6U_6Va5Xc4Ye4_g3`i3ak2cm1do1fq0gs0hu1gp\ 2fk3eg4db5cY6bU7aP8aLa5Qc6Pe6Og6Ni7Mk7Ll7Kn7Jp8Ir8\ Ht8Gu8FtCGsFHrJIrMJqQKpTLpWPo_UnbZmfcmiclmckpckshf\ emaSgKFKUHMzJOzKPzMRzNTzPUzRWzTYzUZqz`szbuzcwzexzf\ zzbzz_zzWzzTzzPzzMzzIzzFzzCzzLzzNcRQdOSeMUfKXgHZhF\ `jDckBel8gm6jn4ln2mn0mo2no3no5nozzozzozzozzozzozzo\ zzozzozzozzozzozzozzozzozzpzzpzzpzzpzzpzzpzzpzzpzz\ pzzpzzpzzpzzpzzpzzpzzpzzpzzrzzpzzozznzzmzzlzzkzzjz\ zizzhzzgzzfzzdzzczzbzzczz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, esc=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|<esc } END PARAMETER FILE=========================================

1 0

FOTD 07-10-10 (Outlandish Textures [6])
by Jim Muth 06 Oct '10

06 Oct '10

FOTD -- October 07, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a study of the textures in the area of chaos at the top of the asteroid minibrot in yesterday's FOTD image. I named today's image "Outlandish Textures" because the fractured features filling it are some of the more incredible I have stumbled upon in my years of investigating the Mandeloids with exponents of Z between unity and 2. The rating of a 6 seems about right. A minibrot in the scene might have added a point or so to the rating. Actually, there probably are minibrots lurking in the scene or at least nearby, though I'm not going to search at this time. The calculation time of just under 5 minutes is somewhat slow. But time may be saved by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy clouds and occasional rain put a damper on activity here at Fractal Central on Wednesday. The temperature of 59F 15C helped keep things suppressed. The unpleasant weather outside didn't worry the fractal cats however. They had a very active morning chasing each other all around FC. When their fun was over, they spent the afternoon sleeping. My day was average. FL's day was the same. The next FOTD will be posted in 24 hours. Until then, take care, and I suppose a thing is real when I see it with my own eyes, that is unless it is something disapproved by the high priests of science, such as a ghost. Then it's merely a hallucination, which, depending on how one sees it, may or may not be considered a real thing. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= OutlandishTextures { ; time=0:04:54.89-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-5.61156110752/-3.172542314606/7807759/\ 1/-171.1/0 params=1.15/0/0/525 float=y maxiter=3000 inside=255 logmap=272 periodicity=6 colors=000zr0wa0vq0ua0ta0sp0r`0q`0po0o`0on0na0nm0m\ c0mm0ld0ll0kf0jm0ig0im0hi0hn0gj0gnAflAfoKemKeoKdoK\ dpKcnBbnAbmLamKamm`lT`lm_lT_kmZkTZjmYjTYjmXiTXimWi\ TWhmVhTVgmUgTUgmTfTSfmSfTRemReTQdmQdTPdmOcTOcTNcTN\ bTMbTMbTK_VIYXHVYFT_DRaCObAMd8Kf7Hg5Fi4Dj5Ci6Ch6Cg\ 7Cf8Ce8Cd9Cd9CcACbBCaBC`CC_CC_DCZECYECXFCWGCVGCUHB\ UHBTIBSJBRJBQKBPKBPLBOMBNMBMNBLOBKOBJPBJPBIQBHRBGR\ BFSBESBEVDIYEL`FPgbVgcVgcVfcUfdUfdUedUeeTeeTdeTdfT\ dfScgScgSbgSbhRbhRahRaiRaiQ`iQ`jQ`jQ_kP_kP_kPZlPZl\ OZlOYmOYmOXqLYoNYmOZkPZiQ_gR_fS`dT`bUa`WaZXbYYbWZc\ U_cS`dQadPbeNceLefJffHggGhgEihCjhAki8li7mg6mf6md6m\ c6ma6m`6mZ6mY6mX6mV6mU6mS6mR6mP6mY6hW6hV6hU6hS6hR6\ hP6hO6hM6hL6hJ6hI6hH6hI7gI8gJ8g99g99gAAgAAgABfBBfB\ CfBCfCDfCDfCEfDEeDFeEFeEGeEGeFH`FHeFIeGIdGJdGJdHKd\ HKdHLdILdIMcJMcJNcJNcKOcKOcKPcLPbLQbLQbMRbMRbMSbNS\ bNTbOTaOUaOUaPVaPVaPWaQWa } frm:MandelbrotBC3 { ; by several Fractint users e=p1, esc=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|<esc } END PARAMETER FILE=========================================

1 0

FOTD 06-10-10 (Asteroid Impact [7])
by Jim Muth 06 Oct '10

06 Oct '10

FOTD -- October 06, 2010 (Rating 7) Fractal visionaries and enthusiasts: For some reason, the TV channels these days are filled with programs about looming catastrophes and the end of civilization. So why not have one of the looming catastrophes appear in fractal form? This is just what happened in today's FOTD, which captures the hypothetical asteroid-impact catastrophe at the moment of impact. Actually, the scene shows an order 1.15 minibrot in the parent fractal that appears when the formula Z^(1.15)+C is iterated at the MandelbrotBC3 formula's ground level. This parent is shaped much like the minibrot in today's image, and is decorated on its southwest side by a field of rather fantastic zigzagging fila- ments. Today's image lies about halfway out in this field. The name "Asteroid Impact" says it all. The rating of a 7 might be a little overdone. The colors appear a bit too brilliant to me. The calculation time of 1-3/4 minutes is a lot shorter than the time it took for the asteroid to reach the earth. And even if the asteroid never arrives, the finished image is or soon will be available for instant viewing on the FOTD web site at: <http://www.Nahee.com/FOTD/> Chilly temperatures and occasional light rain kept activity suppressed here at Fractal Central on Tuesday. The fractal cats leaped to their shelf for joy when the sun briefly appeared in the afternoon, taking the chill from the temperature of 54F 12C. Unfortunately, the sun went behind the clouds after bringing only 5 minutes warmth, and the cats were sorely disappointed. My day was slow and routine. FL killed time watching those hot Latin soap operas. The next FOTD will be posted in 24 hours. Until then, take care, and when will we capture a live bigfoot? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Asteroid_Impact { ; time=0:01:43.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-5.61156103006634/-3.172542628607448/\ 247530.1/1/-171.1/0 params=1.15/0/0/525 float=y maxiter=32767 inside=0 logmap=102 periodicity=6 colors=0002AI4BK6CM8DOAEQCFSEGUGHWIIYKJ_MKaOLcQMeS\ NgTOiUPjTQiSRiRSiQThPThOUhNVgMWgLXfKYfJYfIZeH_eG`e\ FadEbdDbdEceFdeGefHffIffJggKhgLihMihOjhQkiSliUliWm\ mYnr_ovaozcpzdqzerwfrwgqwhqwipwjpwkowlormnmnnmommq\ mcsmcujcwhUzeUzcUzaKzZKzXKzUFzSFzQFzNGzLGzIGzGGzEG\ zBGx9Gw6Gv4Gu2Gt3Hs4Hr4Iq5Ip6Jo6Jn7Jm8Kl8Kk9LjALiA\ LhBMgCMfCNeDNdEOcEObFOaGP`GP_HQZIQYIQXHSWHUVHUUGUT\ FUSEURDUQCTPBSOARNAQMAOLAMJAJIAIHAHGAGFAFcRccT`cWX\ cYUc_QcbNcdJcfGc_JcUMcOPcIScFRcBRc8Qc5Pc2zc4zc7zc9\ zAlsBwrBkrmjrmjrCwqmiqmiqDwqmhpmhpmhpmgpEwpmfoFwoF\ fomeoFwnmenGwnmdnGdnIwomboKwpLapm`pNmqOmqPmqQmrRmr\ SmrTmsUmsVmsWmtXmtYmtVmsSmsPmsNmsKmsHmsEmsCmsFmtIm\ tKmtNmuPmuSmuUmvXmvZmvamvdmwfmwimzkmznmzpmzsmzumzx\ mzzmzqmzmmzmmzmmzmmzmmzmmzmmzzzzzzzzzzzzzzzzzzzzzz\ 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=========================================

3 2

A Double Spiral
by Roger Alexander 05 Oct '10

05 Oct '10

Today a spiral. Can you have too many spirals? That's like saying can you have too many paperclips. While it's necessary to have enough on hand to meet immediate needs, it's always reassuring to have plenty in reserve. As I write these words I realize I don't know where I'm going with this so I think I'll change the subject. Speaking of changing the subject for those who are pressed for time calculation delays can be avoided by a visit to http://maxitersfractalfollies.blogspot.com for the uploaded image. fract454.gif { ; metallic spiral ; blank ; calctime 0:05:21.34 ; created Oct 05, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=julhack.frm formulaname=julia_holes center-mag=-0.57572/-0.570952/13.33333 params=0.04867702261421552/0.7153233436078982/-0.008148442030091251/-0.9\ 530625324259163 float=y maxiter=1500 inside=0 proximity=2 outside=fmod colors=05F16G27H27H27H27H27H00000000000000000000000000049J5AK5AK5AK5AK5A\ K6BL0000000000007CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9EO9EOAFPAFPAFPAFPAF\ PBGQBGQBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJTFKTGKUGLUHLVHMVIM\ VINWJNWJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_OT_PT_PT`QU`QUaRVaRVaSWbSWbTXbTXcUY\ cUYcVZdVZdW_eW_eX`eX`fYafYafZbgZbg_ch_ch`ch`diadiaeibejbfjcfjcgkdgkdhleh\ leilfimfjmgjmgknhknhlniloimojmpjmpknpknqloqloqmprmprnqsnqsorsortpstpstqt\ uqturuuruvsvvsvwtwwtwwuxxuxxuxxvyyvyywzzvyyvyyuxxtxxtwwsvwsvvruvquuqtups\ tostorsnqsnqrmprlpqloqknpjnpjmoimohlnhkngkmgjmfjleilehkdhkcgjcfjbfibeiae\ h`dh`cg_cgZbfZbfYaeX`eX`dW_dW_cVZcUYbUYbTXaSWaSW`RV`RV_QU_PTZPTZOSYNSYNR\ XMQXLQWLPWKPVKOVJNUINUIMTHLTGLSGKSFKRFJREIQDIQDHPCHPBGOBFOAFN9EN9EM8DM8C\ L7CL6BK6AK5AJ49J49I38I37H27H16G16G05F05F05F16G16G16G16G } frm:julia_holes(XAXIS_NOIMAG) { ;default for p1=0.17, good for 2. exponent ;p2 is the exponent (default=2, try 1.7 to 4) ;try cont. pot. too, works ok with exponent=2! ;the crit. value for exponent=2 is ~0.1481483 p=p1,p=p+(|p|==0)*0.17 x=p2,x=x+(x==0)*2 z=pixel: z=z^x+p/z |z|<4 } Roger Alexander

1 0

Fractint for Windows - Questions
by Tony (Anthony) Hanmer 05 Oct '10

05 Oct '10

Having failed to locate or make a workable display for Fractint 20.x for my Samsung 17" LCD monitor, I recently downloaded the Windows version, 20.04, and have been using it with pleasure. Some questions, however, remain: 1) Is it possible somehow to increase the maximum allowed render size from the current 1536 x 2048 pixels? 2) Can startup parameters be set and default parameters be changed, i.e. so when I start a new fractal rendering, my own colour map is the default? Also, the default Fractint colour map returns whenever I change maxiter after starting a render. Thanks, Tony Hanmer Mestia, Svaneti, Republic of Georgia www.geosynchronici-2.blogspot.com

5 9

Have Some Wallpapers...
by Roger Alexander 04 Oct '10

04 Oct '10

I took today's fractal and generated it at three different sizes at a 4x3 aspect ratio and using cropping made 2 images at laptop screen resolutions. Go to http://maxitersfractalfollies.blogspot.com for the ready made product. fract457.gif { ; wallpaper for your desktop, or wherever ; blank ; calctime 0:10:37.85 ; created Oct 03, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=RCL_1 center-mag=-0.30890632113671420/+0.05774949621918851/1460.481 float=y maxiter=1500 inside=0 logmap=26 invert=0.0475783562730796/0.0575884273812067/-0.0286568803979614 colors=000fpzeozeozdozdnzcnzbnzbnzamzamz`mz`mz_lz_lzZlzZkzYkzYkzXkzXjzWj\ zVjzVizUizUizTizThzShzShzRgzRgzQgzQgzPfzPfzOfzNfzNezMezMezLdzLdzKdzKdzJc\ zJczIczIbzHbzHbzGbzFazFazEazE`zD`zD`zC`zC_zB_zB_zA_zAZz9Zz9Zz8Yz7Yz7Yz6Y\ z6Xz5Xz5Xz4Wz4Wz3Wz3Wz2Vz2Vz1Vz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uy0Uy0Uy1Uy2Vy2Vy3Vy4Wy4Wy5Wy6Xy6Xy7Xy8Yy9Yy9ZyAZ\ yBZyB_yC_yD_yD`yE`yF`yFayGayHbyIbyIbyJcyKcyKcyLdyMdyMdyNeyOeyOfyPfyQfyRg\ yRgySgyThyThyUhyViyViyWjyXjyXjyYkyZky_ky_ly`lyalyamybmycnycnydnyeoyeoyfo\ ygpyhpyhpyiqyjqyjrykrylrylsymsynsyntyotyptyquyquyrvysvysvytwyuwyuwyvxywx\ ywxyxyyyyyzzzzzzyzzyzzxyzxyzwyzwyzvxzvxzuxzuwztwztwzswzrvzrvzqvzquzpuzpu\ zouzotzntzntzmtzmszlszlszkrzjrzjrzirziqzhqzhqzgpzgpzfpz } frm:RCL_1 (XAXIS) {; Ron Lewen ; An interesting Biomorph inspired by Pickover's ; Computers, Pattern, Choas and Beauty. ; Use Floating Point z=pixel: z=pixel/z-z^2 |real(z)| <= 100 || |imag(z)| <= 100 ;SOURCE: fractint.frm } Roger Alexander

1 0

FOTD 05-10-10 (Eyes-a-Popping [7])
by Jim Muth 04 Oct '10

04 Oct '10

FOTD -- October 05, 2010 (Rating 7) Fractal visionaries and enthusiasts: The parent fractal of today's image came to life when I mixed Z^3 with 1.0085 parts of plain Z then added straight C. This parent is an odd vertical thing with more nooks and crannies that the mythological labyrinth. I'll not attempt to describe it, but it is worth at least a brief look. Today's image lies very near the negative Y-axis, in an area being squeezed between two converging open bays. And as the real(p1) parameter shows, it is a rather critical area. The name "Eyes-a-Popping" refers to the partly-cut-off, eye-like spirals around the central minibrot, which itself is on the verge of losing resolution. The rating of a 7 includes a full point for my coloring effort, which extended over more than 1/2 hour. The calculation takes over 9 minutes -- longer than ideal, but calculation may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> A steady chilly rain fell all day Monday here at Fractal Cen- tral, with the temperature remaining near 50F 10C. The fractal cats were more interested in being fed than watching the rain that they never go out in and enjoy. My day was rather slow, which allowed more time for the fractal. FL spent a good part of the day watching Latin novellas on TV, where all they do is eavesdrop, wonder who their parents are, fight and then hit the sack. Thank goodness I don't speak Spanish. The next FOTD will be posted in 24 hours. Until then, take care, and start the day with a fractal. Doing so will probably cure something and thereby extend your life. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Eyes-a-Popping { ; time=0:09:12.28-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.00003448176340967/-1.095456382571392\ /1.272218e+012/1/70.5/0 params=1.0085/1/1/3/0/0/0/0 float=y maxiter=6400 inside=0 logmap=1013 periodicity=6 mathtolerance=0.05/1 colors=000VGZWH_XIaYJbZKdZNe_Qf`ThaWibZkcalcdmdeje\ fgfgdghbgi_hjXikUjlSkmPknMloJmpHnqEorBos9nrDmrGlrJ\ kqMjqPiqSiqVhpZgpafpdeogdojcomcopbplbpiapfapb`p_`q\ X_qU_qQZqNZqKZqHWoKUmMSlOQjQNiTLgVJfXHdZFc`GaXH`UI\ _RJZOKYLLWIMVFNUCOT9PS6RS3TS6VS9XSCZSF`SIbSLdSOaSP\ aSPbSQcSQdSQeSTfSWgSZhTXiTWjTUkTTlURmUQnUOoUNpTLqS\ KqSLqRLpRMnRMmQNkQNiQOhQPfRPdSQcTQaUR_VSZWSXXTVYTV\ ZTW_SW`SWaSWbSWcRWdRTeRRfROgRMhRKiRJjQHkPGlKFmGEnM\ EoSDpYDqbCrhCsnBttBuyLvwVuuctscsqcrpcmlciiceecab`Y\ ZXUWTPSPLPKHLGDIG9EG5BI7DP8FXAHdBJlCKhBIdAH`9FX9ET\ 8DQ7BM6AI69G57D56BC5HBBGDFHEGKHJNKNRNQUQUXTX_W`bZc\ ba_bcXbeUbhQbjNblKbnHbqDbsAbu7bw4jdKrM_y3ouLgrb_hh\ ddUeaUeZUeWUfTZfPcfMhgJmgGqgDvgHweKwcNwbQw`Tw_XxY_\ xXbxVcxUdxSeyRfyPgyOhyMizLjzOkzQlzUmzZnzcozhpzmqzr\ rzvszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

1 0

FOTD 04-10-10 (Elephant Microscope [8])
by Jim Muth 03 Oct '10

03 Oct '10

FOTD -- October 04, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a zoom into yesterday's image, this time to a magnitude of almost 2*(10^22). And what has happened to our elephants? Nothing. They are still here, though far less apparent than in yesterday's image. They lurk along the edges of all the arms, waiting only for another inzoom to reveal a few of them. The name "Elephant Microscope" emphasizes the magnitude of the scene. At the scale of today's image, the entire Mandelbrot set would be at least the size of the entire galaxy, if not the size of the entire visible universe. The rating of an 8 indicates that the image has both mathemati- cal and artistic worth. And I did put some extra time into the coloring. Requiring arbitrary precision math, the image is rather slow, taking just under 13 minutes on the 2000mhz unit, but the result is worth the effort. Those who prefer their fractals pre-cooked will find today's finished image posted on the FOTD web site at: <http://www.Nahee.com/FOTD/> Sunday proved to be another really pleasant day here at Fractal Central, with lots of sun and a temperature of 66F 19C. Instead of hiding from the sun as they did all summer, the fractal cats chased the sun as it flooded their sunny shelf in the southwest window. My day was about average, while FL passed the time in her garden. The next FOTD will be posted in 24 hours. Until then, take care, and exert top effort. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= ElephantMicroscope { ; time=0:12:52.02-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.26822780072359\ 6336846270026/-0.003606790286420536717028549/\ 1.801363e+022/1/-137.5/0 params=0/0 float=y maxiter=3600 inside=0 logmap=705 periodicity=6 colors=000UPUWQTXSTYUTZWS_YS`_SaaSbdRcgRdjRelRgmSj\ pTmsTrvUvxUzzVzzWzzWzDUyDXxDXvDYtDZsDZrD_qDOpDSoDW\ nDQmFRmGSlISlJTkLUkMUjOVjPWiRWVSBTUDQWEOYGM_HKaJIc\ KEJtKb_QvGRpERjCSdBSZ9TT7TN6UH4RB3OC4ND5NE6OE7OF8O\ G9OGAOHBNICMIDLJELKFKKGJLHIMIIMI_N`pOsjMrdKq_IpUHp\ OFoJDnDBm8AmBDnDFnGHoIJoKLoNOpPQpSSqUUqWWqYXoZXm`Y\ kaYibYgCJbBEdAAfHB`OBWUBQ`BLgBGmBAtB5zK0wU6t_BqcGn\ eLkgQiiVfk_cmd`oiYqnVssTuxUyvXyu_zuczwhzxmzzrzzvzz\ zzzzzzzzzzzzzzzzzzfefi`ikXlnSnpOqrKslNtfQtaStWVtQY\ uL_uFbu9eu4guAgpGglMghSgcYg_cgWigRogNtgJfYPTPVFAU2\ AUAAUFAKKGKQGPUHKUHKQHKlHKqHSrLPrOMrRKsYHscFsfCsmA\ qhEpcIncMmZQkXUjTYhOagLefJi4Ib3Fd9GbeKheKgeKfeKeeK\ eeKddLcETZDO`ISQPbITfaThcUjfUlhVnjVpmmromtqmvsmuqm\ torsnrrlrqkrpirohrnfrmerlcrkbzzmzzmzzmzzmzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

1 0

FOTD 01-10-10 (The Lost Elephants [No Rating])
by Jim Muth 03 Oct '10

03 Oct '10

FOTD -- October 01, 2010 (No Rating) Fractal visionaries and enthusiasts: While reading Mike's description of his Elephant Valley 3-D animation, I noticed that he saw no elephants in the area. In today's image the lost elephants have been found. The image is a blow-up of a small section of the FOTD image for Sep 27. And it is filled with elephants. True, the elephants appear quite different from the standard ones in East Valley of the M-set, but they are definitely there. The most recognizable elephants lie around the upper arch of the large open area. They appear to be arising as hollow outlines from the depths on the left, arching over the open area, giving a mighty trumpet, and then diving back into the depths on the right. But turn the image upside down. There are more elephants hiding in the 'outside' stuff below the open area. They are rather distorted, but unlike the upper elephants, they are filled with much detail. Since the image is a near repeat of a recent image, and I reused the same color palette, I could give today's image no rating. I raised the maxiter to 32767 to better define the narrow high- iteration stripe across the center of the scene. The name "The Lost Elephants" is a bit misleading. Actually, the elephants have been found. The calculation time of 3-1/4 minutes may be more than cut in half by rendering the scene with passes=g, but some smaller detail will be lost. Rendering with passes=1 gives the best result, but doubles the calculation time. The calculation task may be totally avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Torrential rain came in squally bursts here at Fractal Central on Thursday, accompanied by gusty south winds and a surprisingly warm temperature of 77F 25C. The wind caused an hour-long power outage in the late afternoon, but the work was already finished and little inconvenience was felt. The fractal cats never noticed that the power went out. The fractal basement took on surprisingly little water considering the approximately 4-in 10-cm of rain that fell up to 7pm. My day was spent waiting to bail out the basement, but no bailing was needed. The next FOTD will be posted in 24 hours. Until then, take care, and think positively negative. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Lost_Elephants { ; time=0:03:14.93-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t maxiter=32767 center-mag=-0.011413986/+0.163729391/273/0.1226/\ -90/60.1 params=90/0/0/90/0.28/0/0.5/0/2/0 float=y inside=0 logmap=10 periodicity=6 colors=000kpThpVeoWcmYak__iaYgeWeiUdiRchSbhQakObnM\ cqKctIcwHczDdzAfz6jz3kz2mz2mz2mz2nz2nz1oz1qz1sz1qz\ 1oz2nz2mz2lz2kz3jz3iS3hU3gW4fY4e_4da4cc5be5ag5`i5_\ k1Xm5_l9alDdkHfkLijPkjTniVoiWpiOkUGfEHeDIeDJdDKdDL\ dDMcDNcDNcDObDPbDQbDRaDSaDT`DT`DU`DV_DW_DX_DYZDZZD\ zuDzuGzuIzuLzuNzuQzmSzmVzmXzm_zmazmdTMzTLzSKzSJzRI\ zRHzRGzTHzzI0zJ0zK0zL0zM0zN0zN0zO0zP0dQzfRzgSzhTzi\ QziTzcWzYYzS`zMczGezAhz8iz5jz9izCizFizIizLizPizSiz\ VizYiz`izehzcizbjzakz`lzZmzYnzXozWpzVqzTrzSszRtzQu\ zPvzNwzMxzLyzKzzJzzLzzMzzNzzPzrQzzRzzQzzSzzTzzUzzV\ zzWzzXzzZzz_zz`zzazzbzzczzdzzatzZozWizTdzQZzNUzKOz\ IJzJLzKMzLOzMPzNRzOSzPUzPVzQWzRYzSZzT`zUazVczWdzWe\ zXgzYhzZjz_kz`mzanzZtzaozcjzfezh`zkWzmRzoNzqTzsYzu\ czvhzslzppzmtzjxzgzzdzzczzbzzawz`tz_qzZnzYkzXhzWez\ VbzU_zTXzSUzRRzQOzPLzPGzOIzOKzOMzOOzOPzORzOTzNVzNX\ zNYzN_zNazNczKazNdzPgzSjz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

3 2

Another Mandala
by Roger Alexander 02 Oct '10

02 Oct '10

Another mandala but not symmetrical. Available at http://maxitersfractalfollies.blogspot.com More aids for fractal focused meditation. fract453 { ; mandala ; blank ; calctime 0:08:31.36 ; created Oct 02, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_d.frm formulaname=devil center-mag=-4.44089e-016/2.22045e-016/0.8130081 float=y maxiter=1500 inside=0 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:devil {; Copyright (c) Paul W. Carlson, 1998 ; Based on one of Noel Giffin's formulas w = pixel z = iter = wp1 = wp2 = bailout = 0 : old_w = w w = w * w - wp2 wp2 = wp1 wp1 = real(old_w) - flip(imag(old_w)) IF (|w| > 4) bailout = 1 z = 4 * iter + 30 z = z - real(216) * trunc(z / real(216)) ENDIF iter = iter + 1 z = z - iter bailout == 0 ;SOURCE: 98msg.frm } Roger Alexander

1 0

FOTD 03-10-10 (Trunksville [6])
by Jim Muth 02 Oct '10

02 Oct '10

FOTD -- October 03, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us deep into East Valley of the Mandelbrot set, though not quite deep enough to make arbitrary precision math absolutely necessary. The scene is located in a sub-sub- sub-sub-sub-sub-elephant, which is an elephant on the back of a larger elephant on the back of an even larger elephant, etc. I might have lost track of the actual number of subs, but this is the general principle. At this extreme depth, the high-order elephants take on strange new shapes, but their trunks are just as obvious. The name "Trunksville" refers to the countless elephant trunks scattered throughout the image. Most of the action was achieved by rendering the scene with the outside set to 'tdis' (total distance traveled). Since the image is just another scene in East Valley, I could rate it no higher than a 6. The calculation time of one minute will pass in a flash, and if the image proves to be a flash in the pan, no time will have been wasted. The most efficient way to view the image is to go to the FOTD web site at: <http://www.Nahee.com/FOTD/> where it is posted in all its finished glory for immediate gratification. Uneventful weather prevailed here at Fractal Central on Satur- day, with partly cloudy skies and a temperature of 64F 18C. The fractal cats had a battle over who got to curl up in the laundry basket. My day was actually rather pleasant, with little to do but watch TV. The next FOTD will be posted in around 12 hours. Until then, take care, and do you ever wonder why things are the way they are? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Trunksville { ; time=0:01:01.19-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2682278007235\ 0160/-0.00360679028652115/6.574804e+012/1/120/0 params=0/0 float=y maxiter=1750 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000beRchRdkRenRflSfkTfjTfiUfhUfgVffWgeWYglg\ dXgcXgbYgaZg`Zg__JUOSWS_YWnDQmFRmGSlISlJTkLUkMUjOV\ jPWiRWiSXhUYhVYgXZgY_RejTdiVchWcgYbfZae`ada`cc_bd_\ afZ`ON3TQCYTKbWSwU3tV9qWEoXKlYPiZV0tC3rE6qG9oHCnJF\ lKIkMLiOOhPRfRUeSXcU_bWb`Xe_ZFiuJgrXLF_KNbKVfJbYJj\ UWKKWXUOOYRNPYN``COXHb_GefGnbFhZFaREWREVKDOGDKCC8B\ CD7B04B95D45F65H86JA6LC6NE6PF7RH7TJ7VL7XN8ZP8`R8bS\ 8dhuLPZS6CZ5EX5GV5HU5JS5LR5MP4OO4PM4RL4TJ4UI4WG4XF\ 8YICYKGZMJZON_QR_TV`VY`XaaZea`ibclbepcgtciwckVP`3B\ QEJSORTVWSa_RhdQohQ1Cf3Bb4A_59X68T77Q96NA5KB4GC3DD\ 2AE17H2AJ2CL2EN2GP2IR2KT2MV2PX2RZ2T`2Vb2Xd2Zf2`d4Y\ b6V`8SZAQXCNVEKTGIRIFPKCNMAONBOOBOPBOQBPRBPSBPTBPU\ BPVBQWBQXBQYBQZBQZBIYDPaCVeB`hAgl9mp8ss7OQDQPFRPGS\ PITOJUOLVOMWNOXNPZNR_MS`MUaMVbLXcLYdL_eL`_SZVYXPcV\ KjTEpR9vPCuSEtVGsYJr`LqbNpeQohSnkUnmXme_lYbkRejJgi\ CVFUWJTXMTYPTZTS_WS`ZSaaS } END PARAMETER FILE=========================================

1 0

Fractal Mandala
by Roger Alexander 01 Oct '10

01 Oct '10

According to Wikipedia "In common use, mandala has become a generic term for any plan, chart or geometric pattern that represents the cosmos metaphysically or symbolically, a microcosm of the Universe from the human perspective." Today's post is a fractal mandala suitable for meditation (or framing). In gif and re-sampled jpg formats. Posted at the usual http://maxitersfractalfollies.blogspot.com fract452.gif { ; octo 2 ; blank ; calctime 0:01:05.31 ; created Oct 01, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_t.frm formulaname=tsept_rjr_3 function=round/round center-mag=-6.66134e-016/4.44089e-016/0.9114441 params=1.625/-0.875/0.7676320688497573/-0.6657612842188787 float=y maxiter=1500 inside=0 proximity=1 outside=fmod invert=-1.25/0/0 colors=000gzzfzzezzdzzczzbzz`zz_zzZzzYzzXzzWzzVzzTzzSzzRzzQzzPzzOzzMzzLz\ zKzzJzzIzzHzzGzzEzzDzzCzzBzzAzz9zz7zz6zz5zz4zz3zz2zz0zz0zz0yz0yz0xz0wz0w\ z0vz0uz0uz0tz0sz0sz0rz0qz0qz0pz0oz0oz0nz0nz0mz0lz0lz0kz0jz0jz0iz0hz0hz0g\ z0fz0fz0ez0dz0dz0cz0bz0bz0az0az0`z0_z0_z0Zz0Yz0Yz0Xz0Wz0Wz0Vz0Uz0Uz0Tz0S\ z0Sz0Rz0Qz0Qz0Pz0Pz0Oz0Nz0Nz0Mz0Lz0Lz0Kz0Jz0Jz0Iz0Hz0Hz0Gz0Fz0Fz0Ez0Dz0D\ z0Cz0Cz0Bz0Az0Az09z08z08z07z06z06z05z04z04z03z02z02z01z00z00z00z00y00y00\ x00x00w00w00v00v00v00u00u00t00t00s00s00r00r00r00q00q00p00p00o00o00n00n00\ n00m00m00l00l00k00k00j00j00j00i00i00h00h00g00g00f00f00f00e00e00d00d00c00\ c00b00b00b00a00a00`00`00_00_00Z00Z00Z00Y00Y00X00X00W00W00V00V00V00U00U00\ T00T00S00S00R00R00R00Q00Q00P00P00O00O00N00N00N00M00M00L00L00K00K00J00J00\ J00I00I00H00H00G00G00F00F00F00E00E00D00D00C00C00B00B00A } frm:tsept_rjr_3 {; blank ; Mutated y2k04 z = fn2(p2)/pixel, zp1 = zp2 = (0,0), huge = 1.0e32: temp = z+pixel z = z*z - zp2 zp2 = zp1 zp1 = p1/fn1(p2) (|zp1| <= 64) && (|z| <= huge) ;SOURCE: noel.frm } Roger Alexander

1 0

Re: [Fractint] Pseudo-Brots
by Roger Alexander 01 Oct '10

01 Oct '10

I've modded the formula used in the Pseudo-Brots post by adding a bail-out test. I don't get a black screen with this parset. Does it work in xfractint? fract437.gif { ; almost a minibrot ; blank ; calctime 0:03:58.87 ; created Sep 25, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulaname=newnuke function=sin/sqr center-mag=-0.65381727158948720/-0.00050083472454090/127.6748/1/90/-1.23\ 373533611470521e-014 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:newnuke {; mod of SuperNuker by Justin Kolodziej ; which was a mod. of Mr. Newstead's Nuke1 ;modded by adding bail-out |z|<128 z = 0 c = pixel d = fn2(pixel): z = (fn1(z)+c)/d |z|<=128 }

3 3

FOTD 02-10-10 (Primary Elephant [7])
by Jim Muth 01 Oct '10

01 Oct '10

FOTD -- October 02, 2010 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's FOTD, I commented that there were upside-down elephants in the detail under the arch of hollowed-out outline elephants. In today's image I pick out and concentrate on the primary upside-down elephant. The name "Primary Elephant" identifies the pachyderm that marches proudly before us in today's image, with its sub-elephants and their sub-sub-ele- phants lined up in its back. I have never before given as much prominence to a single so-obviously fractal elephant! As all Mandelbrot enthusiasts know, each elephant in East Valley stands guard over its particular Mandelbrot bud. So where is the bud that is being guarded by the elephant in today's image? Notice the narrow brilliant horizontal band across the lower part of the image. The broad dark horizontal area between this band and the brilliant white area behind the elephant's upper parts is actually the bud, or what is left of it. The bud has been stretched to infinity by viewing it in the Rectangular direction. Mandelbrot features are compact in the C planes, but extend to infinity in the Z planes. The Rectangular plane consists of the compact imag(c) dimension plus the infinite imag(z) dimension, resulting in an open circular Mandelbrot bud stretched in one direction to infinity, which appears as an infinitely long black open stripe with parallel sides. Although the image is the third visit to the same part of the East Valley complex, the central elephant is so well defined that I rated the image at a 7. A slight drawback is the calculation time of almost 11 minutes, which is long enough to give impatience a chance to raise its fickle head. But impatience may be kept at bay by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The heavy rain moved out and the sunshine returned here at Fractal Central on Friday, while the temperature took a drop to 70F 26C. The fractal cats spent their afternoon lounging in the sun on the kitchen floor. My day was relatively slow. A bit of water did seep into the fractal basement on Thursday night, but FL with her mop quickly took care of that. The next FOTD will be posted in 24 hours unless an antiquing expedition develops on Saturday, when the FOTD might be delayed. Until whenever, take care and befriend a lonely fractal. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Primary_Elephant { ; time=0:10:55.81-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t center-mag=-0.011023301/+0.168393972/2097/0.1113/\ 90/69 params=90/0/0/90/0.28/0/0.5/0/2/0 float=y maxiter=32767 inside=0 logmap=10 periodicity=6 colors=000kpThpVeoWcmYak__iaYgeWeiUdiRchSbhQakObnM\ cqKctIKwHLzDMzANz6Oz3Pz2Qz2Nk2Om2Po2Qq1Rl1Sm1Tn1Up\ 1Vq2Ws2Xu2Yv2Zw3_x3`y3ax3bw4bw4bu4au4`v5_v5_t5_r5_\ p1_n5_m9alDdkHfkLijPkjTmiSojNoiKneJlbHjZIhUJfPKdKL\ dDMcDNcDNcDQbDUbDZbDcaDhdDmhDrmDvrDzvDzzDzyDzwDzwD\ zvDzuGzuIzuLzuNzuQzmSzmVzmXzm_zmazmdTMzTLzSKzSJzRI\ zRHzRGzTHzzI0zJ0zK0zL0zM0zN0zN0zO0zP0dQzfRzgSzhTzi\ QziTzcWzYYzS`zMczGezAhz8iz5jz9izCizFizIizLizPizSiz\ VizYiz`izehzcizbjzakz`lzZmzYnzXozWpzVqzTrzSszRtzQu\ zPvzmwzmxzmyzmzzmzzmzzmzzmzzmzrmzzmzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzKzzLzzMzzNzzOzzPzzPzzQzzRzzSZzT`zUazVczWdzWe\ zXgzYhzZjz_kz`mzanzZtzaozcjzfezh`zkWzmRzoNzqTzsYzu\ czvhzslzppzmtzjxzgzzdzzczzbzzawz`tz_qzZnzYkzXhzWez\ VbzU_zTXzSUzRRzQOzPLzPGzOIzOKzOMzOOzOPzORzOTzNVzNX\ zNYzN_zNazNczKazNdzPgzSjz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

Mandelbrots and Bailouts
by Roger Alexander 30 Sep '10

30 Sep '10

What do you do when you have problems with a formula without a bailout? Why fire up a formula called Bailout! Found this one in my Orgform collection. Ready made at http://maxitersfractalfollies.blogspot.com along with yesterday's post re-sampled. fract450.gif { ; bailout ; blank ; calctime 0:00:44.60 ; created Sep 30, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_b.frm formulaname=bail_out03 function=sqr center-mag=-0.429016/2.22045e-016/0.8079006 params=0.9330118717001862/-0.5586107974486526 float=y maxiter=1500 inside=0 outside=atan colors=00zzNNzNNzNNzNNzMMzMMzMMzMMzMMyLLyLLyLLyLLyKKyKKyKKyKKyKKyJJxJJxJ\ JxJJxJJxIIxIIxIIxIIxHHwHHwHHwHHwHHwGGwGGwGGwGGwFFwFFvFFvFFvFFvEEvEEvEEvE\ EvEEvDDvDDuDDuDDuCCuCCuCCuCCuCCuBBuBBtBBtBBtAAtAAtAAtAAtAAt99t99t99s99s9\ 9s88s88s88s88s77s77s77s77r77r66r66r66r66r55r55r55r55q55q44q44q44q44q44q3\ 3q33q33q33p22p22p22p22p22p11p11p11p11o00o00n00n00n00m00m00m00m00l00l00l0\ 0k00k00k00k00j00j00j00j00i00i00i00h00h00h00h00g00g00g00f00f00f00f00e00e0\ 0e00e00d00d00d00c00c00c00c00b00b00b00a00a00a00a00`00`00`00`00_00_00_00Z0\ 0Z00Z00Z00Y00Y00Y00X00X00X00X00W00W00W00W00V00V00V00U00U00U00U00T00T00T0\ 0T00S00S00S00R00R00R00R00Q00Q00Q00P00P00P00P00O00O00O00O00N00N00N00M00M0\ 0M00M00L00L00L00K00K00K00K00J00J00J00J00I00I00I00H00H00H00H00G00G00G00F0\ 0F00F00F00E00E00E00E00D00D00D00C00C00C00C00B00B00B00A00 } frm:bail_out03 (xAxis) {; xAxis won't do for fn=exp. ; Use bail_out03exp instead z = c = pixel: z = z^2 + c |fn1(imag(z))| <= p1 ;SOURCE: bailout.frm Roger Alexander

1 0

Q re: Heights of some spires jumping up and down in your nifty animation
by Hal Lane 30 Sep '10

30 Sep '10

2 1

Re: [Fractint] Flying Through Elephant Cut
by JackOfTradeZ＠comcast.net 30 Sep '10

30 Sep '10

. all i see is a cool 3D static image - no video .

3 2

Pseudo-Brots
by Roger Alexander 30 Sep '10

30 Sep '10

Today's fractal is an illustration from "Max Iter's Field Guide to Imitation Minibrots". Like yesterday's fractal this is a minibrot wannabee. Unlike yesterday's fractal it is politely symmetrical not unnervingly twisted. However even the most cursory examination of the nose and side buds show it to be not a true minibrot. As the French say C'est le vino, or something like that. Ready made at http://maxitersfractalfollies.blogspot.com fract437.gif { ; almost a minibrot ; blank ; calctime 0:03:58.87 ; created Sep 25, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_s.frm formulaname=SuperNuker function=sin/sqr center-mag=-0.65381727158948720/-0.00050083472454090/127.6748/1/90/-1.23\ 373533611470521e-014 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:SuperNuker {; Justin Kolodziej ; mod. of Mr. Newstead's Nuke1 z = 0 c = pixel d = fn2(pixel): z = (fn1(z)+c)/d } Roger Alexander

5 11

Flying Through Elephant Cut
by Mike Frazier 30 Sep '10

30 Sep '10

I made a 3D animation based on Jim Muth's FOTD New_Elephant_View from Sep 27, 2010. Jim's fractal has this great cut running right through the middle of the image. I wanted to fly through the cut and see what was there. I didn't see any elephants but it has some winding roads. The animation is short so the page loads quickly. You can see it at: http://www.fracton.org/fmlposts/flying_elephant_cut.html -- Mike Frazier www.fracton.org

3 2

Multi-Armed Mandelbrot
by Roger Alexander 30 Sep '10

30 Sep '10

Today's multi-armed gizmo is a mandelbrot with P1 values perturbed. Yup it's sparkly all right and a anti-aliased version is on the way. Today's fractal and my previous post de-sparkled ready made at http://maxitersfractalfollies.blogspot.com. Want a distorted parent brot real quick? Generate a default mandelbrot then bring up the Y screen and vary the inversion values. Varying the inversion values is also available through the evolver function. fract446.gif { ; perturbed mandelbrot ; blank ; calctime 0:12:11.83 ; created Sep 28, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel passes=1 center-mag=-0.04316171745374735/-0.64653210566350040/702.2363 params=-0.08005005035554064/-0.184606463820307 float=y maxiter=1500 inside=0 logmap=23 colors=0009et8Zp6Sk4Lg2Eb06Y06W07U08R09P0AM0BK0CH0EI0GJ0IK0KM0MN0PP0RP0T\ P0VP0XP0_P0aP0cP0eP0hP0iO0jN0kM0mL0nK0oJ0pI1rH1sG1tF1uE1vD1xC1xC1wC1vD1v\ D2uD2tE2tE2sF3rF3rF3qG3pG4pG4oH4nH4nI4mI5lI5lJ5kJ5jJ6jK6iK6hL6hL7gL7fM7f\ M7eM8dN8dN8cO8bO8bO9aP9`P9`P9_QAZQAZRAYRAXRBXSBWSBVSBVTCUTCTUCTUCSUCRVDR\ VDQVDPWDPWEOXENXENXEMYFLYFLYFKZFJZGI_EGXCFTAEQ8CN6BK4AG28D58D97DD7EH6EL6\ EO5FS5FW4G_4Gc3Gf3Hj2Hn2Hr1Iv1Iz0Jw0Jt0Iq0Hm1Gj1Fg1Fd1E`2DY2CV2BS2BO3AL3\ 9I38F37B46824935A46C46D46F46G46I46J46L46M46O46P46R46S46U46W45X57Z68_7Aa8\ Bb9DdAEfBGgCHiDJkEKlFMnGNoHPqIQsKSsKQsKOsLMtLKtLHtMFtMDtMBtN9uN7uN4uO2uO\ 0uR0uV0uY0ua0ud0ug0uk0un0ur0uu0tr1so3rm4qj5pg6od8nb9m_AlXCkUDiSEhPFgMHfJ\ IeHJdELcBMb8Na6O`3Q_0RW0VT0WR0XO0YL0ZK0YK0XJ0WJ0VI0UI0TH0SH0SG0RF0QF0PE0\ OE0ND0MD0LC0KB0LA1M91N82P72Q63R53S44U34V25W06Y1Da3Kf5Rj } Roger Alexander

1 0

FOTD 30-09-10 (Something to Watch [9])
by Jim Muth 29 Sep '10

29 Sep '10

FOTD -- September 30, 2010 (Rating 9) Fractal visionaries and enthusiasts: I found today's image on the first dive into the parent fractal, which was unusually good fractal luck. Much to my surprise, the image I turned up rates a lofty 9. The generating expression subtracts a tiny part of Z^100 from just over 1 part of Z^2 then adds (1/C) to create a parent fractal that is impossible to describe in words, but consists mainly of a wild mixture of holes and outside stuff. In today's image the holes, which were brought to life with the 'bof60' inside fill, are reddish, while the outside stuff is bluish. The inside of the minibrot is the dead black color in register 077, with assorted other brilliant inside and outside stuff surrounding it. The name "Something to Watch" would have been more appropriate if the FOTD had been a changing animation. As it is, the viewer will have to watch a stationary scene. The rating of a 9 seems appropriate. The image actually is quite good. The calculation time of 1-3/4 minutes is very reasonable consid- ering that an image with a rating of a 9 will be calculated in that interval. And as always, the finished image is posted for instant pleasure on the FOTD web site at: <http://www.Nahee.com/FOTD/> Wednesday here at Fractal Central featured thickening clouds, with a forecast of torrential rain on Thursday. The temperature of 70F 21C was quite pleasant. The fractal cats spent the day watching for stray cats in the area. I spent the day wondering how much water might get into the fractal basement if the fore- cast 6-in 15-cm of rain actually falls. The next FOTD is due to be posted in 24 hours. If nothing goes wrong, it might actually appear. Until next time, take care, and be prepared. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Something_to_Watch { ; time=0:01:45.56-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 float=y center-mag=-16.31605237523/-0.00276335686/\ 1.5e+008/1/-33/0 params=1.02/2/-0.000102/100/0/0/\ 0/0 maxiter=1500 inside=bof60 periodicity=6 colors=000q9Lr4Nr0S`70RE1XL2aR2fX2lc2qi2vo2sm3qk4o\ j5mh5kg6ie7fc8db8b`9`_AZYBXXBUTGSPLPMPNIULFYNKWOOV\ PTTQXSSaRTePUjOVnNTrTSvZRycTxeVwgWwiYvkZvm`uobtqct\ sesufswhryirzcpyYoySnxNmxHlwBkw6jwBhrFfmJdiNbdR`_V\ ZWZYRbWNfUIjSDnQ9rO4vN0uR2uV4tZ6tb8oIHpDJ000JRsIRw\ OMmTHdZCWc7Nh3EgGSfTeeesh_kjUdlOXoIQqCIs6Bu14r5Bo9\ HlDOjHUiISiJQiJPiKNhLLhLKhMIhMHePNcSSaVXZYaX`fVbko\ PjpMfqJcrG`sMZsRYtWXt`WPFBVCE_AGd7Ji5Ln3NoAPpGRpNT\ qTUrZWreYsk_sq`roZrmXqkVqjUphSpfQpePgWQZMRQCSI2TG9\ XFG_ENcDUfC`jBgmAnpFkpJip0Ea0E`0E_0EZ0EY0CV0AR08N0\ 6J04F00B007003000000NbdN__NYUOVOOSJOPDON8LPDIQHGSL\ DTQBVU8WY6Xa7WY7WU8WR8WN9WJ9WGAWCAW9H_CNbETeHZhJdk\ MjnOpqRvtTleQcRNZOKULIPIFKFDFCA008HI9MQ9SY9Xe9bm9z\ z9ao8Xk8Rf8Mb8HZ8BU86Q81M85DF94LQJHeXEbUJ`SOZQSWOX\ UMaSKeTHaUFYVDUWBQX8MY6IZ4EZ2BXGKWUTVf`gQUtAOrHLpO\ IoUFm`Clf96jM4wAFfRPQfNRk } 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 29-09-10 (Taffytown [9])
by Jim Muth 28 Sep '10

28 Sep '10

FOTD -- September 29, 2010 (Rating 9) Fractal visionaries and enthusiasts: In yesterday's discussion about the parent fractal of today's image, I mentioned that the northern period-20 bud is as large as the period-3 bud, which is located on the southern side of the main bay. Today's image is a scene in the radical of that period-20 bud. The location lies in what would normally be considered an elephant-trunk, though in this case, the 'trunk' is nearly straight, and instead of terminating in a spiral, takes a sharp break to the left and dies out in an archipelago of fractal debris. While searching for a name, I had a strong impression of differ- ent-flavored taffies. I then named the image "Taffytown". The rating of a 9 might be excessive, but I really like the image, with its impressive effect of a third dimension and bubbling taffy. The calculation time of almost exactly 2 minutes is close to FOTD average. The trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is or soon will be posted, will be equally fast and will also avoid the task of calculating the included parameter file. Heavy showers during the morning here at Fractal Central on Tuesday gave way to a pleasant, mostly sunny afternoon with a temperature of 81F 27C. The fractal cats appeared quite pleased with conditions, and took up their sentry posts in the side window to watch for unwanted cats. We left the window open most of the afternoon. My day was reasonably peaceful, though I did almost get involved in a futile discussion at lunch time, when FL said something about public education, or the lack thereof. The next FOTD will be posted in 24 hours. Until then, take care, and get smart. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Taffytown { ; time=0:02:00.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.2265803814014974/+2.755383020385856/\ 1.624862e+008/1/78/0 params=1/1.05/-1/-1.03/0/0/0/0 float=y maxiter=1500 inside=0 logmap=182 colors=000UrzUmzUhzUczUZzUUpSRi_UcaWUcZKeaAgdAagEc\ kIenMgpPmsTrvXry`rzcpv`UszcphmmTljRkfOjcLi`JhYGgVE\ fRBeO8dL6cI3bF1dMAeSIgZRhdZjkgmqoqzzrwspuplsmjqjfp\ gbocam`_kYYiVXgSVfOUeLSdIRcFPbCOa9M_8LZ8KX8JU7IS7G\ Q7FO7EM6DK6CI6AG69E58C57A5685AD6DH7HL8KP9OTARXBV`C\ YdD`hDXfHTeKPdNLcQIaUE`XA__6Zb3Ye7XaBXYFXUJXRJWRJW\ RJWRITRIRRHPRHNRHLRGJRGHRFFRFDRFBRE9RE7RD5RD3RD1RG\ 2SJ3TL4UO5VQ6VT7WV8X6lk6jk6hj6fi6di6bh6`h6Yg6Wf6Uf\ 6Se6Qd6Od6Mc6Kb6Ib6Ga6Ea8G`AI`BK`DM`FO_GQ_IS_KU_LW\ ZNYZP_ZQaZScYUeYVgYXiYZkX_mXaoXcqXdsWfuWhwWixWhwYh\ wZhv_gv`gvagubfucfudftefsferhepieojdnkdmldmmcmnclo\ clpclqdmpeipfkpglphnpiozjpzkqzkszlvzmvznwzowzpxzqx\ zryzsyzsyzhsoZnnOimEdlG`jIXhKTfMPdOLbQHcS9cRDcQGcP\ KcPNmORmNUmNXmPZmR_mT`mVamXbmZcz`ezbfzdgzfhzhizmjz\ rV`vFlz0xz3uz5rz7ozAmzCjzEgzHzzJzzLzzgzzXzzNzzCzz0\ zz2zz3zz4zz6zz7zz8zzAzzqz } 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

Re: [Fractint] Fractint Digest, Vol 91, Issue 25
by JackOfTradeZ＠comcast.net 28 Sep '10

28 Sep '10

. someone ask: ""How do you do anti-aliasing?"" I use the poor-man's method. I take a 1024 AVI file, convert it to 640 WMV, and that smoothes out all them rough sharp edges .... .

1 0

Something Old, Something New
by Roger Alexander 28 Sep '10

28 Sep '10

It's a drawing options extravaganza! Parameter perturbation! Initorbit! Inversion! It's the classical mandelbrot all dressed up and ready to go! Seriously though it's the abundance of options that first drew me to Fractint. Learning about the doodads was time consuming but paid off in getting the most out of this very versatile program. Take advantage of the time unlimited offer of instant download at http://maxitersfractalfollies.blogspot.com! fract443.gif { ; something old, something new ; blank ; calctime 0:26:52.12 ; created Sep 27, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel passes=1 center-mag=-0.77362018409613210/-0.60720825413775390/226.2682/1/-115.000\ 000000000426/-1.64999958141009984e-013 params=-0.004333628345591624/-0.2269966734824672 initorbit=0.5/-0.3 float=y maxiter=3600 inside=0 logmap=42 invert=0.746818445387127/-0.639881588183233/0.85399945066683 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 } Roger Alexander

1 0

Incandescent Lace
by Roger Alexander 27 Sep '10

27 Sep '10

Today's post has a familiar lacy design with an incandescent palette. Both gif and re-sampled jpg at http://maxitersfractalfollies.blogspot.com. fract436.gif { ; blank ; blank ; calctime 0:04:04.64 ; created Sep 26, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_q.frm formulaname=quadros_rjr_b function=sinh/sqrt center-mag=-2.90363/2.30384/0.6666667 params=0.2504959257789849/1.016022217474899/0.0303353984191412/-1.267372\ 661519211/0.3561510055848872/-0.6056703390606403 float=y maxiter=1500 inside=0 logmap=13 invert=-0.742545854060488/0.417157506027406/-0.075960570085757 colors=00000000000000000000000000000000000001001001001001001001001001001\ 0010120720D20J20P20W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE\ 0zF0zH0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm\ 0zn0zp0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys\ 7yr7yq6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb\ 5va5va5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM\ 3tL3sL3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q5\ 1q51q41q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a2\ 0a20`20_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K2\ 0K20J20I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082\ 0820720720720620620520520520420420420320320220220220120 } frm:quadros_rjr_b {; b and rjr y2k03 ; As posted in Fractal-Art, 4/28/97 z=fn1(pixel+abs(p2))/fn2(pixel+abs(p3)): z=p1*sin(z) |z| <= 100 ;SOURCE: 97msg.frm } Roger Alexander

1 0

FOTD 28-09-10 (The Most Distorted [?])
by Jim Muth 27 Sep '10

27 Sep '10

FOTD -- September 28, 2010 (Rating ?) Fractal visionaries and enthusiasts: It's rare that a parent fractal earns FOTD status, but today's parent is just curious enough to do it. Several pseudo-mini- brots have been posted on the list recently. Most of these were simply minibrots that were calculated with a non-critical initial value. Today's Mandebrot fractal is fully critical however, but its Mandelbrot-set status is questionable. There comes a point where a distorted Mandelbrot set reaches a degree of distortion where it can no longer honestly be called a Mandelbrot set, and I think today's Mandelbrot set has gone beyond that point, and morphed into some other kind of fractal. East Valley is the only instantly recognizable feature. Believe it or not, Seahorse Valley is at the southern edge of the main bay, while the northern period-20 bud is as large as the main period-2 bud, which is cut from the main bay by Seahorse Valley. There is little more to be said about the image, except that, since it is a parent fractal, it obviously holds countless smaller scenes. One of these will be posted as tomorrow's FOTD. Unable to decide on a rating for a parent fractal, I let the image go with a puzzling rating of a question mark. The name "The Most Distorted" is a bit of an exaggeration, since the distortion of today's image may be increased beyond limit by incrementally reducing the imag(p1) parameter. The calculation time of 10-3/4 seconds is no mistake. The image really is that fast. The image may also be seen by viewing it already calculated on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy clouds and frequent showers characterized Monday here at Fractal Central. The temperature of 73F 23C was mild enough however to keep things quite comfortable. The fractal cats passed the day alternating between sleeping and watching for unwanted cats. My day was uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and will the end of the world make history? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Most_Distorted { ; time=0:00:10.46-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-0.15/1.866/0.71/1/8/0 params=1/1.05/-1\ /-1.03/0/0/0/0 maxiter=1500 inside=0 logmap=yes colors=000XN`XN`WO_VO_VOZUOZUOZTOYSPYSPXRPXRPXQPWQ\ PXQQWPRVORVNRUNRUMRTMRTLRTKRSKRSJRRJRRIRRHSQHSQGTP\ GTPFTPFTOETODTNDTNCTNCTMBTMBTMCULDULEVLFVLFWLGWLHX\ KIXKJYKJYKKYKLZKMZJM_JN_JO`JP`JQaJQaIRaISbITbIUcIU\ cIVdHWdHXeHXeHYeHZfH_fH`gG`gGahGbhGciGhiGmiFrjFvjF\ zkFzlGzmIzmKzmMzmOzmQzmSzmUzmWzmYzm_zmazmczmdmmzmm\ zmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmizmizm\ jzmjzmjzmjzmjzmkzmkzmkzmkzmkzmlzmlzmlzmlzWmzXmzXmz\ YmzZmzZnz_nz_nz`nzanzaozbozcozcozdozepzezQfzQgzPgz\ OhzOizNizMjzLkzLkzKlzJmzJmzInzHozHozGzzFzzFzzGzzGz\ zGzzGzzGzzGzzHzzHzzHzzHzzHzzHzzIzzIzzIzzIzzIzzIzzJ\ zzJzzJzzJzzJzzJzzIzzJzzKzzLzzMzzNQzOQzPRzQRzRRzSRz\ TSzUSzVSzWSzWTzXTzYTzZTz_Uz`UzaUzbUzcVzdVzeVzfVzgW\ zhWzhWziWzjXzkXzlXzmXznYzoYzpYzqYzrZzsZztZzuZzuZzt\ ZztZztZztZzsZzsZzsZzsZzrZzrZzrZzrZzqZzqZzqZzqZzpZz\ pZzpZzpZzoZzoZzoZzoZznZzn } 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

Re: [Fractint] spidrweb
by JackOfTradeZ＠comcast.net 27 Sep '10

27 Sep '10

. yeah that done it - linear mapping (logmap=0). took 7 hours on P3-933, not bad for that depth. loox nice now - lemme check it out for a zoom in animation. thanx for tip .

2 1

FOTD 27-09-10 (New Elephant View [No Rating])
by Jim Muth 26 Sep '10

26 Sep '10

FOTD -- September 27, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's surreal scene is named "New Elephant View". The name shows that it is a new view of East Valley of the Mandelbrot set, which is sometimes called Elephant Valley. The Mandelbrot set is a two-dimensional slice through the center of the four-dimensional Julibrot figure, which results when the expression Z^2+C is iterated. (Two complex numbers equals four variables.) The Mandelbrot set does not slice the Julibrot figure into two separate parts however. It simply cuts a two-dimensional hole through the Julibrot. A three-dimensional slice would be needed to make the Julibrot fall apart. Nor is the Z=0,0 slice the only slice of the Julibrot that produces the familiar M-set shape. I suspect but do not know for sure that there are an infinite number of two-dimensional slices of the Julibrot that produce Mandelbrot sets. Since the Julibrot is four-dimensional, it has six mutually perpendicular two-dimensional slices through every point. Two of these orientations are quite familiar -- the Mandelbrot and Julia directions. The names of the other four orientations are my own inventions -- the Oblate, Rectangular, Parabolic and Elliptic directions. Today's scene slices the Julibrot in the Rectangular direction, thus it may properly be called a Rectangular set. In the image, the vertical direction is the imag(z) axis, while the horizontal direction is the imag(c) axis, thus the scene is a hybrid -- 1/2 Mandelbrot and 1/2 Julia. The slice is offset 0.5 in the real(z) direction. With all this technical stuff and not too much image to work with, I could not give the image a rating. Setting the inside to something like 'bof60' or 'atan' adds more detail to the scene, though I prefer the stark black background of inside=0. The calculation time of only 49 seconds simply oozes conveni- ence. Those who prefer their fractals pre-cooked may view the completed image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The fractal cats appeared unusually happy about the nondescript conditions here at Fractal Central on Sunday, which was about as average as a day could be. The temperature of 70F 21C was average, the partly cloudy sky was average, the northeast wind was average, and the forecast of coming rain was typical. My day was average also. The next FOTD will be posted in 24 hours, which is average. But for today only, I will have no thoughtful but intentionally silly or controversial closing remarks, which is most un-average. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= New_Elephant_View { ; time=0:00:49.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0\ /1.1/13.5 params=90/0/0/90/0.28/0/0.5/0/2/0 float=y maxiter=2500 inside=0 logmap=10 periodicity=6 colors=000kqThqVepWcnYal__jaYheWfiUeiRdhSchRaePZaO\ PUOLPKHKHczDdzAfz6jz3kz2mz2mz2mz2nz2nz1oz1qz1sz1qz\ 1oz2nz2mz2lz2kz3jz3iS3hU3gW4fY4e_4da4cc5be5ag5`i5_\ k1Xm5_l9alDdkHfkLijPkjTniVoiWpiOkUGfEHeDIeDJdDKdDL\ dDMcDNcDNcDObDPbDQbDRaDSaDT`DT`DU`DV_DW_DX_DYZDZZD\ zuDzuGzuIzuLzuNzuQzmSzmVzmXzm_zmazmdTMzTLzSKzSJzRI\ zRHzRGzTHzzI0zJ0zK0zL0zM0zN0zN0zO0zP0dQzfRzgSzhTzi\ QziTzcWzYYzS`zMczGezAhz8iz5jz9izCizFizIizLizPizSiz\ VizYiz`izehzcizbjzakz`lzZmzYnzXozWpzVqzTrzSszRtzQu\ zPvzNwzMxzLyzKzzJzzLzzMzzNzzPzrQzzRzzQzzSzzTzzUzzV\ zzWzzXzzZzz_zz`zzazzbzzczzdzzatzZozWizTdzQZzNUzKOz\ IJzJLzKMzLOzMPzNRzOSzPUzPVzQWzRYzSZzT`zUazVczWdzWe\ zXgzYhzZjz_kz`mzanzZtzaozcjzfezh`zkWzmRzoNzqTzsYzu\ czvhzslzppzmtzjxzgzzdzzczzbzzawz`tz_qzZnzYkzXhzWez\ VbzU_zTXzSUzRRzQOzPLzPGzOIzOKzOMzOOzOPzORzOTzNVzNX\ zNYzN_zNazNczKazNdzPgzSjz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Re: [Fractint] spiderweb
by JackOfTradeZ＠comcast.net 26 Sep '10

26 Sep '10

. hey Mike, you sure you got the right map? I am trying to get that awesome color on this page: http://www.fracton.org/fmlposts/spidrweb.html and it ain't happening. The colors look washed out red - not the same at all. I tried using the colors in the palette PAR file, also downloaded the chakotay map from PNL collection - same thing. Whats up? .

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FOTD 26-09-10 (In a Minor Seahorse [8])
by Jim Muth 25 Sep '10

25 Sep '10

FOTD -- September 26, 2010 (Rating 8) Fractal visionaries and enthusiasts: There was no antiquing trip on Saturday, but I did get talked into an expedition to a large gardening store in Brickerville. Actually, it was a rather pleasant trip, especially when FL and I stopped at a great little restaurant on the way back to FC, where I enjoyed Maryland crab cakes in Pennsylvania. When we finally did get back to FC, it was past sunset, and I doubted that I would have time to get the FOTD posted on time; but my luck in the fractal world was exceptional, and I found today's image on the first try. I named the image "In a Minor Seahorse" because its parent Mandeloid is so twisted that is is nearly impossible to discern the main period-2 bud at a quick glance. But by counting the arms of the stars, I soon found the main bud, which is actually one of the smaller buds on the shore line of the main bay. Today's scene lies in the valley leading to this bud, which actually is the Seahorse Valley of the parent Mandeloid. I rated the image at an 8. If I had had more time to work on the colors, I might have raised the rating to a 9. But even a rating of an 8 is a bargain when the calculation time is a mere 1-2/3 minutes. Those who are not bargain shoppers may view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Near perfect summer-like conditions prevailed here at Fractal Central on Saturday. The temperature reached a delightful 79F 26C under cloudless blue skies and a refreshing breeze from the west. The fractal cats enjoyed the conditions while sleeping. My day was reasonably pleasant at the garden store, while FL was in her glory. The next FOTD will be posted in about 24 hours. Until then, take care, and be skeptical of zealous skeptics. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= In_a_Minor_Seahrse { ; time=0:01:40.73-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.021047652834869/+0.7303394840536240\ /3.1714e+011/1/-150/0 params=1/1.1/-1/-1.1/0/0/0/0 maxiter=2400 inside=0 logmap=233 periodicity=6 colors=00010A20A30A40A52A64A76A88A9ACACFBEGDHKEKPG\ NUJScLXmObrQgvTmzVrzXtzTwzPzzLITI5SL9QNCOPFNRILTLK\ VPIXSGZVF`YDb`CddAfg8hj7jm5lp4jk5hg6gc6eZ7cV8bR8`M\ 9ZIAYEAVLBSRBPXCNbCKhDHnDFtDErEDqECoEBnEzsEzqFxnFw\ mKtmSqmUnmWkmYhm_emacmccmecmgcmicmkcmmcmocmqcmscmu\ cmwcmzcmzcmzamz_mzYnzWozUpzSqzPrzMqzNqzOqyQqxRqwTq\ vUquWptXpsZpr_prapsbptdpteougouhovjowkowmoxnoxmlwl\ jwlhwkewkcwjawjZwiXwiVwhSwhQwgOwgMweLtcKrGBIbKo`Jm\ ZIjYIhWHeVHcTGaRFZQFXOEUNESLDPJCNICKGBIoD4lC5iC6fC\ 7cC8`C9YCAWBBTBCQBDNBEKBFHBGiQ0gP1fO2eO2cN3bM4aM4_\ L5ZL6YK6XJ7VJ8UI8TH9RHAQGAPGBOFCMECLEDKDEICEHCFGBG\ sdeqbcoabm`akZ`jY_hXZfVYdUWbTVaRU_QTYPSWORVMQTLPRK\ NPIMNHLMGKKEJIDIGCHpakkZgg`ccc`_hXVmURrQNvNJzJkz4`\ z8QzCczh`zeZzbWz_UzXRzUPzRMzOzzLzzIzz4zz6zz7zz9zzA\ zzCzzDzzFzz6zz7zz7zz8zz8zz9bz9`zA_zAYzBXzBVzBUzCSz\ CRzDPzDOzEMzELzFJzFIzGGzG } 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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Of Newtons and Mandelbrots
by Roger Alexander 25 Sep '10

25 Sep '10

How about a newton mandelbrot mash-up? While this newton algorithm fractal has an inverse bailout there are minibrots present. The Fractint formula parser, the Swiss army knife of fractal programs. Note that fmod (for inside set coloring) has a lower than default proximity value. Posted at http://maxitersfractalfollies.blogspot.com. fract435.gif { ; mandelbrot newton mashup ; blank ; calctime 0:13:39.87 ; created Sep 24, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_f.frm formulaname=F'M-SetInNewtonB function=cosh center-mag=-1.05687188006308700/+0.89796713004833140/191.5271 params=5/0/1e-007/0 float=y maxiter=3600 inside=fmod proximity=0.0001 outside=tdis colors=00fv0bt0ar0_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 } frm:F'M-SetInNewtonB (XAXIS) {; use float=yes, periodicity=no ; set p1 >= 3, 1e-30 < p2 < .01 z=0, c=fn1(pixel), cm1=c-1, cm1x2=cm1*2, twoop1=2/p1, p1xc=c*real(p1): oldz = z z= (p1xc - z*cm1x2 )/( (sqr(z)*3 + cm1 ) * real(p1) ) + z*real(twoop1) |z - oldz| >= p2 ;SOURCE: mandnewt.frm } Roger Alexander

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FOTD 25-09-10 (HyperSplendor Brot [6.5])
by Jim Muth 24 Sep '10

24 Sep '10

FOTD -- September 25, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image is named "HyperSplendor Brot", an exaggeration if ever there was one. I found it in the HyperMandelbrot set, though I suspect that the same scene exists unchanged in the standard M-set. If it does, this same minibrot would be impossible to track down however. If the image is simply another everyday Mandelbrot-set scene, it rates a 6; but if it is a scene unique to the HyperMandelbrot set, then it rates a 7. Since I have no idea whether it's unique or not, I compromised by rating the image at a 6.5. I spent a little extra time on the coloring, but not enough to add to the worth. The calculation time of 2-3/4 minutes is very near FOTD average. Unless the internet is jammed, the trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> to view the completed image, will also be about average. Summer returned with a vengeance here at Fractal Central on Friday, as the temperature reached 93F 34C and the typical midsummer haze filled the air. Early in the afternoon the fractal cats took to the cool tile of the kitchen floor and moved only to avoid the moving afternoon sun, which strikes the floor quite strongly at this time of year. My day was average, with no pseudo-philosophical discussions with FL. The next FOTD will be posted in 24 hours, or maybe more like 36 hours if an unexpected expedition comes up on Saturday. Until whenever, take care, and if you want the right answers, be sure to ask the right questions. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= HyperSplendor_Brot { ; time=0:02:46.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.4177901352209/-0.000304212661/4e+008\ /1/-10/0 params=0/0/0/0/0/0/0.0001/0.0001 float=y maxiter=3200 inside=0 logmap=418 periodicity=0 colors=000dt_ctZbtY_tXYtWWsVUrURqTPpSNoSLnTImTGlUE\ kUDjUCiUCgSCdQCbOL_MTYJXYG_YFcVDfVBhVAiWAhWAfVEaVI\ YVLTUPOUTKUWFT_ATc6Tf6W`6ZV6aP6cK6fE6i87g16i26k35l\ 45n55o6Aq7Kr8Ut9cuAmwBmzCmvEmrGmmIzjKzgMzeOzcQzcTm\ cSmcSmcSmcSmcRmcRmcRmcRmcQmcQmcQceQcfQcdPcbOc`OV_N\ VYMUWMUVLTTLTRKTQJSOJSMIUNFTMHSLIRKKQJLPINOHONGQMF\ RLESKDUJCVIBXHAYG9_F8`G6_F8aF9bFAcEBeECfEDgDEiDFjD\ GkCHmCInAHpCJoEKoGMoHNoJOnLQnMRnOSnQUnSVmTWmVYmXZm\ cVr`YoY_mWajTchQffOhcLjaIl_GnXDqVAsT8uQ5wO3yM8uPCq\ SGnVKjXOg_ScbW_e_XgcTjgQmkMpoJrnHllGgjFbgDXeCSaBN`\ 0Ma5KdAIfGGjOElSCl_Amc8mh6mm6zl5zl4zk7zh9zbBvaDraF\ m`HiYJfULcPMcKNYKNYPOVUPcYQbWR`VSdTPgSNWbKcmIXwGZs\ H_oI`kJagKbcLc_MdWNdUKeTNfTPfTRgTTgSVhSXhSZiS`jVck\ SelQgmOinLkoJmpHoqEqrFssKuuPwvUywWzxYzy_zzazzczzew\ zgtziqzjozkmzlmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzm\ mzmmzmmzmmzmmzmmzmmzmmzmm } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] spidrweb
by JackOfTradeZ＠comcast.net 24 Sep '10

24 Sep '10

. nice illustration of period doubling! i will investigate it, may be worth doing a zoom-in animation time will tell, if so i will change the name. i hate spiders! .

1 0

Spidrweb
by Mike Frazier 24 Sep '10

24 Sep '10

I saw a thumbnail of a nice image on the FractInt Deep Zoom webpage. The image looked interesting but at the time there was no parameter file. What was there, was a short description of the history behind this image by Dewey Odhner. Quoting the FractInt Deep Zoom webpage: "This is a deepzoom image into the Mandelbrot using 63 decimal digits of precision. Dewey started this fractal and posted the partial image on the net when it was 2/3 completed after expending approximately 2343 hours of calculation time on a 486/33 computer." Wow, 2343 hours and still only a partial image. How did he ever find it and zoom in on a fractal that draws that slow? For an anti-aliased image, an answer, and more go to: http://www.fracton.org/fmlposts/spidrweb.html Or, you can draw it yourself with the rediscovered original parameter file (courtesy Paul Lee): spidrweb { ; (c) by Dewey Odhner. Public domain. 26 Jun 1995 ; time=2413:22:56.14 on a 486/33 at 1024x768x256 ; Video=SF7 using FractInt 19.20 ; reset=1920 type=mandel passes=1 float=y inside=0 maxiter=65535 center-mag=-0.39055622937210006671232329456871257481110880702\ 1999331450670255/0.586802012606328340585252465296594109397884\ 144784316302197739437/4.4e+058 params=0/0 logmap=yes colors=0005FY<24>LTiMUiMUjNVjOWk<36>PbNPbNPbMPbLQcK<20>QQWQPX\ QOX<3>PL_X_hdnq<34>6Tu5Su4Ru<2>1Pv1Pv2Pu<34>YbSZbR_bQ<2>bdNcd\ NdeO<8>mlWnmXonYpoZqp_sq`<22>NjXMiXKiW<3>EgV<17>mKMoJLqIL<3>z\ CIscU<2>mbU } -- Mike Frazier www.fracton.org

2 2

Lacy Blue
by Roger Alexander 24 Sep '10

24 Sep '10

Like yesterday this fractal is blue and symmetrical. This time though the design has a linear lacy design rather than of circular areas. Posted at http://maxitersfractalfollies.blogspot.com Hurry on down now to receive your complimentary gif and also receive a bonus re-sampled jpg! fract430.gif { ; blue symmetry ; blank ; calctime 0:05:34.49 ; created Sep 23, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_n.frm formulaname=New_Moonworld_G center-mag=0/0/0.6666667 params=8/0/4/0/3/0 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:New_Moonworld_G {; Generalized version of New_Moonworld ; (c) 1997 Bernd Lehnhoff ; use floating point and periodicity=no! ; p1 is the radicand ; p2 is the perturbation ; p3 is the degree of the root IF(p2==0) p2=0.5 ENDIF v = pixel a = log(|p2|)-12 b = .5*(p3-1)/p3: u = v w = 1-(p1/u)^p3 v = u-u/p3*w*(1+b*w)+p2 z = v - u log(|z|) >= a ;SOURCE: Roger Alexander

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FOTD 24-09-10 (Candied Decoration [7])
by Jim Muth 23 Sep '10

23 Sep '10

FOTD -- September 24, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley of a parent fractal shaped like a hyperbola. The hyperbola is actually a Mandelbrot set whose western regions have enlarged to the point of infin- ity. (If the imag(p1) parameter is reduced ever so slightly, the M-set expands beyond infinity and, as is the nature of hyper- bolas, returns from the opposite direction.) I rated the image at a 7 despite my dislike of pastel shades. FL likes pale light tints and thought the image should be rated at a 9. Actually, I did tone down the pastel effect a bit since I rated it. The name "Candied Decoration" carries the feeling of the scene. The calculation time of 2 minutes is near FOTD average. The waiting time may be trimmed by viewing the completed image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Thursday here at Fractal Central began with fog. The fog lifted by 10am, revealing a cloudy sky. But by midday the clouds cleared away, leading to a midsummer-like afternoon, with plenty humidity and a temperature of 84F 29C. A small shower developed in the southwest at sunset, but moved off peacefully to the south and dissipated. The fractal cats watched none of this, missing the awe and wonder. The next FOTD will be posted in 24 hours. Until then, take care, and do Atheists hold religious belief or not? They do not believe in God or heaven, which implies they hold no religious beliefs; but as I see it, they do believe that no god or heaven exists, which means they do hold a belief about religious things --they believe it's all a feel-good superstition. I guess it's just word play. And as for my beliefs--we'll skip that for now. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Candied_Decoration { ; time=0:02:11.38-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.1911429748796/+0.0029843333705/1.196\ 73e+009/1/-107.5/0 params=1/-1/84/0 float=y maxiter=1900 inside=0 logmap=220 periodicity=6 colors=000aJIeHJiELmBMp6LzcMq9NqBOqCPqEQqFRrGSrITr\ JTrLUrMVrOWrPXsQYsSZsT_sV`sW`sYatZbt_ctadtbetdfteg\ tfgseesddsccrbbra`r`_r_ZqZYqYXqXVpWUpVTcKSnUKcQRqS\ XcRcsQZmQUtPUmPUsPUsPUsPUrPUrPUqPUqPUqPUpPUpPUoPWo\ PVoPTnPSnPQmPOmPMmPL7co5cf3cZ1mQ2mR2mR2mR2mR2mR2cS\ 2cS3cS3cS3cS3cS3cT3cT3cT4cT4cT4cU4cU4mU4mU4mU3UV4U\ U5UU5UU6cz7mz7cz8mz8cz9mzAczAmzBczCmzCczDmzDRQESQF\ TQFUPGWPHXPHYOIZOI_OJaOKbNKcNLdNLeNLeOKeOKePJePJeQ\ IeQIeQIdRHdRHdSGdSGdTFdTFdUEcUEcVDcVDcVCcWCcWBcXBb\ XAbYAbY9bZ9bZ8b_8b_6c`8b_9bZAbYBaYCaXDaWEaWG`VH`UI\ `UJ_TK_SL_SM_ROZQPZQQZPRYOSYOTYNUYMWXMXXLYXKmWKmWJ\ mWImXGhWIhWJcWKcVMcVNcVOcUP_URZUSUUTTTUSTWRTXRSYQS\ ZPS`OSaNRbMRdLReLQfKQgJQiIPjHPkGPlFPnFOoEOpDOqCNsB\ NtANu9MxANzANzANzAOzAOzAOzAOzAczAczAczAczAczAczAcz\ AczAczAczAczAczBczBczBczBczmczmczmczmczmczmczmczmc\ zmczmczmczmczmczmczmczmcz } 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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FOTD 23-09-10 (Hurried Minibrot [No Rating])
by Jim Muth 23 Sep '10

23 Sep '10

FOTD -- September 23, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's image is late because desktop computers work very poorly without electricity. Don't blame me; blame whatever you call it -- fate, luck, God, karma, or simply forget the whole thing by pointing out that annoying things are a well-known part of life. Today's late FOTD is a quick journey to Seahorse Valley of a minibrot on a filament extending from a sub-bud on the northwest shoreline of the bud centered around -1.3 on the negative X-axis of the Mandelbrot set. I gave the image no rating because I put no extra effort into it. We have the richness of the M-set to thank for the image existing at all. The name "Hurried Minibrot" is a statement of fact. The zippy calculation time of 9 seconds is mostly due to some clever programming tricks of the Fractint team. The finished image will soon be posted on the FOTD web site at: <http://www.Nahee.com/FOTD/> A midsummer-type day prevailed here at Fractal Central on Wednes- day, with a temperature of 86F 30C and lots of sun. But at 5pm a sudden thunder-storm moved in, bringing torrential rain, winds gusting to 65mph, 100kph and crackling thunder. The storm moved off as fast as it arose, but FC was left in the dark until just after midnight. The fractal cats were spooked by the loud thun- der, and ducked into the closet, but when things calmed down, the lack of lights bothered them not at all. The next FOTD will be posted in 24 hours. Until then, take care, and one place where you never want to get lost is the Mandelbrot set. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Hurried_Minibrot { ; time=0:00:09.67-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.356345931475/\ +0.0684741813809/1e+009/1/-90/0 params=0/0 float=y maxiter=15000 periodicity=6 inside=0 logmap=-1438 colors=000AUdAUeAUfAUgAUhAUiAUjAUkAUl9UmERnJLoOFpT\ 9qY3rY3rXFmWPhVQcURZURUUSPUSKUUFUUAUU4UU4UU4UUEUUO\ UVYURgURhURhURhUSTUSDTTJSTORUTQUYOVbMVgKWlIWfGZ`F`\ VQaV`cV_aVP`WFZWISQKMLMJGHGBHD6F67B78FBBLGARL9XK8`\ I7dG6hF6b`7Y`LU`ZP`lL`yVYvdVsnSprQknVcf_VZ_MGNCWND\ kgDfhFbiHYjJUkLQkNSfLUbJVZIXUGYQF_MD`ICWLERNGNPHIS\ JDUL9WMQULfTKvSKWYJ5cJYVPzNVxQYvT_uWasZcqaepdgiibc\ mZYrVSvRKLiVRceXZobUgbX_b_SbaKbdCbg5biMVhbNgsGgrEi\ rCkqAlq8np6pp5qZASHE2FK8EQEDWKCaPBgVAm`9sf8xkAggBR\ dAWb9_`8cZ7gY6lW5pU4tS3xR6pK9hDAfEAdEAbFA`FAZGAXGA\ WG8SK7ON6KR5GU4CY38`HTKUl3Rk7OjALjDJiHGiKDhNBhQHbO\ NXMSRLYLJbFIMjxJltHmpFomDpiBqepjTmmUjmVhmWOmV3mVAm\ XGmZMm`TmaZmcdmejmfgmhdmiamk_mlXmnUmoSmpSmWSmCPmEM\ mGJmIGmKDmMAmO7mQ8mT9mWAmZBmaCzdCzfDzgEzgEzgFzhFzh\ GzhGzhEzdCz`AzX8zT6zP4zL2zH0zE2zI4zL6zP8zS9zVUzXmz\ YizZfzZbz__z_Xz_Tz`Qz`Nz` } END PARAMETER FILE=========================================

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Late FOTD for September 23
by Jim Muth 22 Sep '10

22 Sep '10

Fractal visionaries and enthusiasts: Due to a power outage here at Fractal Central on Wednesday, the FOTD for September will be a day or so late. Jim M.

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Blue Bubbles
by Roger Alexander 22 Sep '10

22 Sep '10

I was going to call today's post "Lavender Spaghetti" instead of "Blue Bubbles" but I thought people might get confused. Compare the simple symmetry of this fractal with the blobby asymmetry of yesterday's Mutato Potato. Good old Fractint, the breadth of its output has a little something for everybody. Ready made at http://maxitersfractalfollies.blogspot.com. fract432.gif { ; blue bubbles ; blank ; calctime 0:05:28.61 ; created Sep 22, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_f.frm formulaname=F'Cetmfnc function=asin/tan center-mag=-1.61676e-015/1.249e-015/11.62046 params=-1/-1.25 float=y maxiter=1500 inside=0 proximity=0.3 outside=fmod colors=XzzXzzYzzYzzZzz_zz_zz`zzazzazzbzzbzzczzdzzdzzezzfzzfzzgzzgzzhzziz\ zizzjzzjzzkzzlzzlzzmzznzznzzozzpzzpzzpzzozzozznzzmzzmzzlzzlzzkzzjzzjzziz\ zhzzhzzgzzfzzfzzezzezzdzzczzczzbzzazzazz`zz`zz_zzZzzZzzYzzXzzXzzWzzWzzVy\ zVyzUyzUyzTxzTxzTxzSxzRwzRwzQwzQwzPvzPvzPvzPvzOvzOvzOvzOvzNuzNuzNuzNuzMu\ zMuzMuzLtzLszLszLszKszKszJszJrzIrzIrzHrzHrzGqzGqzFpzFpzFpzEozEozEozEozDn\ zDnzDnzDmyCmyCmyClyClyBkxBkxAkxAjxAjxAjxAjxAixAix9ix9hx9hw9gw8gw8gw8fw8f\ w7ev7ev6dv6du6du6du6cu6cu5cu5bu5bu5bu5au4au4au4`u4`u3_t3_t3_t3_t3_t3_t3`\ t3`t4`t4at4at4bu5bu5bu5cu5cu6cu6du6dv6dv7ev7ev7fv7fv7fv8gw8gw8hw8hw9hw9i\ w9iw9jxAjxAjxAkxAkxBkxBlxBlyBmyCmyCmyCnyCnyDozDozDozEozEozFpzFpzFpzFpzGq\ zHqzHqzHqzIrzIrzJrzJrzKszKszKszLszLtzLtzLtzLtzLtzMtzMtzMtzNuzNuzNuzNuzOu\ zOuzOuzPvzPvzQvzQvzRwzRwzRwzSwzTxzTxzUxzUxzVyzVyzWyzWyz } frm:F'Cetmfnc {; fn2 added by Jon Horner z=0, c=pixel: z=fn2(z)+c c=c+p1*fn1(c) |z| <= 4 ;SOURCE: explode.frm } Roger Alexander

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FOTD 22-09-10 (Low Lamplight [7])
by Jim Muth 21 Sep '10

21 Sep '10

FOTD -- September 22, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene that lies on the main spike of a mini- brot near one of the two main spikes of its Mandeloid parent. This parent fractal is a strange kind of Mandeloid -- a classic Mandelbrot set that has split apart on its negative X-axis, and has two main spikes, pointing diagonally upward and downward. The rating of a 7 might be a bit overdone. The colors could use more work, and lack the brilliancy I have been trying to achieve lately. The name "Low Lamplight" has no connection to anything fractal. It merely brings a vague feeling of relaxation. The calculation time of a speedy 36 seconds is faster than FOTD average, and should cause no trouble. The finished image is posted on the FOTD web site at: <http://www.Nahee.com/FOTD/> Another perfect day passed unappreciated by the fractal cats here at Fractal Central on Tuesday. The day began chilly, with a temperature of 43F 6C, but with a clear sky and strong sun, warmed to 77F 25C in the afternoon. My day was average. FL was still wondering why I claimed that mankind is the species in the greatest danger of extinction. The next FOTD is due to be posted in 24 hours. It might make it; it might not. Until then, take care, and take it easy when it's breezy. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Low_Lamplight { ; time=0:00:36.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.513918219832074/+0.0258297673763709/\ 5.052942e+010/1/-80/0 params=0.5/4/0/0 float=y maxiter=1200 inside=0 logmap=123 periodicity=6 colors=000D2AE4BF6DG8GH9IIALJBNKCPLDSMEUNFWOGWLL_J\ QdHViE_nCdsAixHktNlqUnm_ojepflrcss_ztXtpZml_fi``eb\ VacPZdTV_XRV`NQgJLmFGgKKWTNQcQLqTFmW9fZ4baWgQwUEn`\ MegTXn_OzfRkZUbSXTL_KEbA7e10_29V2HQ3QK3YF4fA4nD7lG\ AjJChMFfPIdSKbVN`YPZXQXXRVXSTXTRXUPXVNTXQQZSM_VJaX\ Fc_Cda8fd5gfXcradpfeokenpflugkygjpfhhef`ddTcbLb`Da\ Z5aXQbOWYM`TKfOIkJGqEEvACtEFrHHpLJnOMlSOjVQhYShXOh\ WLhVHhUEqO_yItrJqlJofJl`JjVJhPJeJJcDJaMHVUFOaEIiCB\ qB5oA6n96l87k77j67g7Gd8Oa9XZAdWBmUCuWFsXHqYJo_Lm`N\ kaPi_XaZcVYjOXqHZjN_dT`ZZbSdcMjdGpeAv`IpXPkTXePc`L\ jWF`T9RQCVJEYCG`6IcCKfILiNNkTOnYQqcRszNkzJczGXzCPz\ 9Iz5Az23z3Kz3_z3oz7ezBXzFOzJFzM6zQDzUJzYPzaVzeazig\ mmmcqsHfuSWwaSzeOzhLzkHznEzqAzt7zw9zjAzZCzMDzAUzJj\ zRzzZWzLczTkz_szfzzmwzktzirzhozfmzegzSbzEYz00zoFzq\ UzrgzsozWwz97zyFzqMziUza`zVczXezYhzZjz_lzaozbqzcsz\ dpzSmzFkz2iz7gzCezGdzIOzF } 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] high-res feed of Max Iter's Fractal Follies
by Roger Alexander 21 Sep '10

21 Sep '10

Mike Frazier wrote: Author: Mike Frazier Date: 2010-09-18 09:08 -600 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] high-res feed of Max Iter's Fractal Follies Thanks for making the high-res feed. It's really easy to quickly navigate over all the images. Are the par files you link created from the gif's or are they the pars that were posted on the mail list? I have been noticed several times in the last few days where I suspect the mail list pars aren't the same as the gif pars. -- Mike Frazier www.fracton.org ------------------------------------------------------------------------------------------ Have you noticed a discrepancy between my blog gifs and the mailing list parameter information? When I set up Fractint I loaded my formula file directory with entries from the Orgform compilation/organizer. Over time I added formula files from other sources. I tried to keep formula file entry names and formula file entry contents consistent. However if there is any variation between blog and mailing list entries give me a shout. Roger Alexander

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FOTD 21-09-10 (Testing--1--2--3 [6])
by Jim Muth 21 Sep '10

21 Sep '10

FOTD -- September 21, 2010 (Rating 6) Fractal visionaries and enthusiasts: With a magnitude of over 2*(10^13), today's scene is right at the limit of resolution. In fact, the start of breakdown actually adds a bit of jagged variety to the iteration bands. The scene lies in one of the more remote valleys of the parent fractal that is created when 2 parts of Z^3 are combined with 3 parts of Z^3 before straight C is added on each iteration. The name "Testing--1--2--3" means absolutely nothing. The rating of a 6 seems about right. The calculation time of 10 minutes is a bit too long for the image however. I suggest skipping the calculation task and viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The high point of Monday came during lunch, when FL asked which species of animal on earth I consider to be in the greatest danger of extinction. How could I resist such an opportunity? My answer was honest. I told her I consider humanity the most endangered species, and I doubt that any fantastic new high-tech plan can cope for long with our out-of-control reproduction. Instead of expending our energy on secondary problems like climate change, we should be more concerned with the primary problem -- our vast and still growing numbers. If we continue having children at the present rate, the number of children will soon reach the point of self-destruction. We need a solution that is acceptable as well as both moral and effective. Do I hear any suggestions? I guess not. Perfect end-of-summer weather prevailed here at Fractal Central on Monday. At this time of year perfection means cloudless skies, gentle winds and a temperature of 73F 23C. The fractal cats celebrated by getting into a tussle behind a shelf of books in the hallway and spilling about a dozen books onto the floor. Cassie looked the most guilty when the time came to pick up the books. Except for the fractal, my day was occupied by work and discus- sion. The next FOTD will be posted in 24 hours. Until then, take care, and is it better to have a positive outlook or to be right? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Testing--1--2--3 { ; time=0:10:18.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident inside=0 center-mag=-1.000002297313422/-0.09637534091250027\ /2.43e+013/1/147.7/0 params=2/3/3/2/0/0/0/0 float=y maxiter=32767 mathtolerance=0.05/1 colors=000PMLOONOPONQPNRQNSRMTSMUTLWVLXWLYXKZYK_ZJ\ `_Ja`JbaPZZUVWZSTcOQhKNmHLhIRcJXZKaUKgPLmKMrFNxBNz\ CQzCSyDUwDXvDZtE`rEbpEeoFgmFikFkj_Uf_Uc_U`iUZiUXiU\ ViUTzpQzcOzUMxUKpUIU0FW0DY0B_09`07`0B`0F`0J`2N`4R`\ 6U`9Y`Ba`De`Fi`Hm`Jp_LnYMmXOkVQjURiSTgQVfPXdNYcMYa\ KX`JV_HSYGPXEMWDJUBGTADSFBVJ8YN9`RAcWSf_VicYlg`okc\ rh_sfWsdSsbPt`LtZHtXEuVAuT6uR3uV8rZDoaIleNiiSflXcp\ a`sfZobal_ciWffThcPj_MmMSdQSeTSfXSh`SidTjhTlkTmoTn\ sTpwTqzTrzTszUmzVgzWbzXXzYSzZMz_Hz`Bz`6yZ9tXBoVDkU\ FfSHaQJXOMTNOOLQJJSEHUAGW9IU9KT9LR9NQ9OO9QN8RL8TK8\ UI8WH8XF8ZE8_DBYEEXEGVFJUFMTFORGRQGUOHWNHZMHaKIQTZ\ QRZQPZQNZQKZQKZQKZQKZQKZQKZQKZQKUQ3VQ2X_1Yg0Zf0`f0\ af0bf0cW5hDhaEh_EhYFgXGgXHgXIfXIfWJfWKeWLeWLeWYNXj\ 5Xj8WjBWjEWjGWjJVjMVjOVjRVjUUjWUjZUjaUjcU_bMPaEF`7\ JaCMbGPcKSdOVeSYfW`g`chdfihijllkpoltpmxonymozkpzip\ zgpzepzcpzapz_pzYpzWpzUpz } 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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Mr. Mutato Potato
by Roger Alexander 21 Sep '10

21 Sep '10

I chose this minibrot for today's post not because it is eye pleasing but because it is a curiousity. Its deviation from the standard minibrot outline is so profound it is not simple distortion but skirts mutation. That's what I'll call him - Mr. Mutato Potato. Ready made at http://maxitersfractalfollies.blogspot.com fract429.gif { ; distorted minibrot ; blank ; calctime 0:04:36.28 ; created Sep 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_d.frm formulaname=d-rock function=sin center-mag=+0.69134291632043610/+1.42009914975852600/56.817/1/-80.000000\ 0000002984/1.62882901610927888e-012 params=0/0 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:D-ROCK { z = 0, c = pixel: z = sqr(z) + c c = c + p1 * z z = fn1(z)/c |z| <= 4 ;SOURCE: d-rock.frm } Roger Alexander

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More Photosynthesis
by Roger Alexander 19 Sep '10

19 Sep '10

Another quickie today, a Kerry Mitchell formula with gif and jpg at the usual http://maxitersfractalfollies.blogspot.com. Also I finally got around to re-sampling the Aug. 16 post. fract424.gif { ; green tendrils ; blank ; calctime 0:12:31.88 ; created Sep 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=field3_man passes=1 center-mag=-0.12869856067348150/+0.98735067767556690/237.828 params=10000000/7 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=0100200300400500700800900A00B00D00E00F00G00H00J00K00L00M00N00P00Q\ 00R00S00T00V00W00X00Y00Z00`00a00b00c00d00f00g00h00i00k00k01k02k03l04l05l\ 05m06m07m08n09n0An0Bo0Bo0Co0Dp0Ep0Fp0Gp0Hq0Hq0Iq0Jr0Kr0Lr0Ms0Ns0Ns0Ot0Pt\ 0Qt0Ru0Su0Tu0Tu0Uv0Vv0Wv0Xw0Yw0Zw0Zx0_x0`x0ay0by0cy0dz1dz1ez1ez1fz2fz2gz\ 2gz2hz3hz3iz3iz3jz4jz4kz4kz4lz5mz5mz5nz5nz6oz6oz6pz6pz7qz7qz7rz7rz8sz8sz\ 8tz8uz9uz9uz9tz9tz9tz9sz9sz8sz8rz8rz8rz8qz8qz7qz7pz7pz7oz7oz7oz6nz6nz6nz\ 6mz6mz6mz5lz5lz5lz5kz5kz5kz4jz4jz4iz4iz4iz4hz3hz3hz3gz3gz3gz3fz2fz2fz2ez\ 2ez2dz1dz1cz1bz1ay1`y1_y1_x1Zx1Yx1Xw1Ww1Vw1Uv1Uv1Tv1Su1Ru1Qu1Pt1Ot1Ot1Nt\ 1Ms1Ls1Ks1Jr1Ir1Ir1Hq1Gq1Fq1Ep1Dp1Cp1Co1Bo1Ao19n18n17n16m06l06k06j06i06h\ 06g06f05e05d05c05b05a05`05_05Z04Y04X04W04V04U04T04S04R03P03O03N03M03L03K\ 03J03I02H02G02F02E02D02C02B02A0190180170160150140130010 } frm:field3_man { ; Kerry Mitchell 20jan98 ; ; Colors Mandelbrot set by nearest approach to ; period 3 field lines ; ; use decomp=256 ; real(p1) = bailout (try 1e12) ; imag(p1) = 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=0, c=pixel, maxr=real(p1), minr=maxr, iter=1 fieldangle=tan(imag(p1)*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 20-09-10 (Evaporated Special [7])
by Jim Muth 19 Sep '10

19 Sep '10

FOTD -- September 20, 2010 (Rating 7) Fractal visionaries and enthusiasts: It's been a while since I posted an 'evaporated' image..... Today's FOTD ends the drought. It's an evaporated image in a valley of the indescribable parent fractal that results when 0.0003 part of Z(-11.3) is mixed with 0.3 part of Z(-1.3) and (1/C) is added. A fractal created with only negative powers of Z evaporates as the bailout radius is increased, until finally, nothing but a blank screen consisting of 'inside' stuff remains. The one- googol bailout radius of today's fractal was more than enough to entirely evaporate the original image, leaving only the 'inside' stuff to fill the screen. But the inside stuff was not quite dead, and the application of the active 'bof61' inside fill has restored the scene to life. Actually, the resurrected version is better than the original un- evaporated one. I named the image "Evaporated Special", which is a fair descrip- tion. The rating of a 7 might have been a half-point higher if I had devoted more time to the coloring. The calculation time of over 10 minutes is slow enough to give anticipation time to build. The anticipation stage may be by- passed however by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is posted for immediate gratification. Despite a few too many clouds, Sunday turned quite pleasant here at Fractal Central. A light shower at sunset ended the day refreshingly. The temperature of 81F 27C gave the local cookout fans one final cook-out. The fractal cats went into stretch-out mode when the inside temperature reached the limit of their narrow comfort zone. My day was fair enough. The next FOTD will be posted in 24 hours, give or take a few. Until then, take care, and wonder what fractals are made of. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Evaporated_Special { ; time=0:10:23.79-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+3.9140006688399/-0.3338075208496/\ 1.012697e+009/1/-92.5/0 params=0.0003/-11.3/0.3/\ -1.3/0/1e+100/0/0 float=y maxiter=7500 inside=bof61 periodicity=6 colors=0006076987B97D98FATgLIUFIGlDGTu`OlXLdUJXQHO\ NEGJCnbgj`dgZbdY_aWYZUVWTTTRRQPONOMKMJHKHEJEBHC7bP\ 8_N8XL8UJ8RH8OF8LD8IBAPz9Ml9K_8IN0sB1oA1kA2gA2cA3_\ A3XA4UA4SA5PA5MA6LA6KA7JA7IA8HAMIxKHrJHmHHhGHcFHZD\ GUCGPAGK9GFqbUjZRcWOYTLRPILMFEJCPMf6uO7`HfOGYMEPKD\ GIB1TG2RF3PE4OD5MD6KC7JB8HAfHcbG_ZGXVGURGQNGNJGKFG\ GBw3JnAQfGYYMdQTlHZs9do8fk7gh7id6j`5lY5mU4oQ3pN3rJ\ 2sG2tI5qK7nMAkOChQFeSHcUK`WMYYPV_RSaUQcWNeZKg`HicE\ jeChgFghHejJdkLblNanQ_oSZqUXrWWsYUu`TvbRxdQyfPzhUr\ gYkfadfZgjWjmTmqQotUjsXes_`scWsfRriMrmHrpCrs8rfATV\ B3_I8dPDhVImaNqgSvnXzt`rnXjhTDHFbbPVXLNRHFLDoHEkGD\ gGDdGD`GCXGCUGCQGBMGBJGBFGABGAJQbDLOuveln_dgVznHOU\ KzZFc0Ap0Ik0Gg0Eb0CY0AU08P06K04G02E00C00A00800600Y\ sBVnASjAPeAMaAJXAGTADOAAKABDkAEdAEZ9FT9FM8GGJxEDaC\ 2sj3og3ld4ia4fZ5cW5`T6YR6VO7SL7PI8MF8JCofXjcUe`R`Y\ PWVMRSKMPHHMFCJC415536557 } 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

Deep_JIN
by Mike Frazier 19 Sep '10

19 Sep '10

I was doing some deep zooming and I stumbled across this image. I liked the dike like effect caused by the outside=tdis coloring method so I thought I would post it. The letters at the end of the name are the date. Hopefully there won't be any duplicate names that way. There is an image at: http://www.fracton.org/fmlposts/deep_jin.html If you would like to draw it yourself. The par is: Deep_JIN { ; Exported from Fracton. ; time= 8 min 0 sec at 640 x 480 with no aa ; on a Mac Pro 2 x 2.8 GHz Quad-Core Xeon reset=2004 type=mandel passes=1 float=y center-mag=-0.176859048709791371328447659161679877\ 8e1/0.1606107349720067507002061168309015518e-2/3.6\ 408889344e+22/1/-5/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=80000 inside=0 outside=tdis bailout=9 colors=000BUIBSHAQG9OG9MF8KE7ID7GC6EB5CA5A9488X`XW\ _WVZVUYUTXTSWTRVSQURPTQOSPNRPNQOMPNLOMKNMJMLILKHKJ\ GJIFIIEHHDGGDFFCEFBDEoSQoSPoSOoSNoSMoSLoSKoSJoSIoS\ HoSGoSFoSEoSDoSCoSBoSAoS9oS8oS7oS6oS5oS4oS3oS2oS2k\ Q3gO3cM4_K4WI5SH5OF6KD6GB7C97478878ovzlswjquhnrflp\ dimagk_ehYbfW`cUYaSWZPUXNRULPSJMPHKNEIKCFIADF8AD68\ AlCPgBNcAL_AKW9IS9HO8FK8EG7CC7B869yedvcbtbar``o_Zm\ YYkXXhVVfUUdTTaRR_QQYOPVNNTLMRKLOIJMHIKGHHEFFDEDBD\ AAB88A679dULbTKaSK`RJ_QJYQIXPIWOHVNHTMHSMGRLGQKFOJ\ FNIEMIELHEKGDIFDHECGECFDBDCBCBBBAAAAA899789678568M\ dtJ_mGVfEQ_BLT9GM6BFtiNrgMpfMoeLmdLkbKjaKh`Jf_JeYI\ cXIaWH`VHZTGXSGWRFUQFSOFRNEPMENLDMJDKICIHCHGBFEBDD\ ACCAAB9899788578jr1aTPZRNXPMVOLSMKQLJOJIMIHJGFHFEF\ DDDCCAAB89A679J6KI6JH6IG6IG6HF6HE6GE6GD6FC6EB6EB6D\ A6D96C96C86B76A66A669569468MzXLwWKuVKsUJqTIoSImRHk\ QGiPGgOFeOEcNEaMD_LDYKCWJ } -- Mike Frazier www.fracton.org

5 11

high-res feed of Max Iter's Fractal Follies
by Richard 19 Sep '10

19 Sep '10

With Roger Alexander's permission I've created a high-res feed of the parsets he's been posting for his "Max Iter's Fractal Follies" blog. This is similar to the feed I've created for Jim Muth's Fractal of the Day series. Images: <http://www.xmission.com/~legalize/fractals/maxiter/index.html> RSS feed: <http://www.xmission.com/~legalize/fractals/maxiter/maxiter-rss.xml> Roger's blog is linked from the pages of rendered images. On his blog he posts the GIF which have the parset embedded; I post 1600x1200 3x antialiased JPEGs rendered from the parset. The feed is catching up to the present and is currently grinding through July images. Roger has been posting parsets that typically take less time per image than the FOTD parsets and of course there are far fewer parsets in the backlog to grind through, so this feed should be caught up to the present in a short while. Enjoy. -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> Legalize Adulthood! <http://legalizeadulthood.wordpress.com>

4 4

FOTD 19-09-10 (Carnival Atmosphere [5])
by Jim Muth 19 Sep '10

19 Sep '10

FOTD -- September 19, 2010 (Rating 5) Fractal visionaries and enthusiasts: There *was* an antiquing trip on Saturday, which explains the lateness and brevity of today's FOTD. Today's image is named "Carnival Atmosphere". The excessively gaudy colors inspired the name but also held the rating to a 5. The scene is located in the same area of the same parent fractal that held yesterday's image, though today's scene lies well west of the northern large minibrot, in the East Valley area of a smaller minibrot. The parameter file calculation time of just under 2-1/2 minutes is well within reason. The image may also be seen on the FOTD web site at: <http://www.Nahee.com/FOTD/> without the need for parameter-file calculation. Near perfect conditions prevailed here at Fractal Central on Saturday, with full sun and a temperature of 75F 24C. The fractal cats, who were alone most of the day, shrugged it off as just another routine day. The next FOTD will most likely be posted on schedule. Until then, take care, and do it again. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= CarnivalAtmosphere { ; time=0:02:28.24-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-1.78282152665/+0.023995738155/8.6e+007\ /1/160/0 params=2.003/0/-0.00941066196782/0 float=y maxiter=3600 inside=0 logmap=241 colors=000p59p26j3Ae3E`4IW4MR4PL5TG5XB6`66d16g38i5\ 9j7Bl9CmADnCFpEGqGIsHJtJKuLMwNNxOOyMNwKNvJNuHNtGNs\ ENrCNqBMp9Mo8Mn6Mm4Ml3Mk1Mj0Mi1Qg1Te2Wc2Za3b_3eY4h\ W4kV5jU6jT7iS8iR9hQAhQBgPCgODfNEfMEfMFfMGfMHfMIfMJ\ fMJfMKfMLfMMfMNfMNfMGlE9r72x06w39w5Cw7GwAJwCMwEQqM\ UkTYf_a`geVniQuPXjSZfU`cXa_ZcXadTcfQfhMhiJkkFmlCni\ FofHpcJq`MrYOsWQtTTuQVvNXwK_xHayFcmGVaHNQIEEJ6HHCJ\ FHLEMNCRPAWS9aU7fW5kY4p_2ua1zW5rQ9jLCbFGV9KN4NF8PH\ BRJESLHUNKVPNXRQYTT_VW`XZbZac`debgfdjhfmigogbpfZre\ VscRubNvaJx_FyZBzY7vZBs_Fp`ImaMiaQfbTccX`d_XdcUegR\ fjOgnLgqIeoFcnCam9_kXMQJBF60455959D5DI5IM4MR4QV4VZ\ 4Zc3bg3gl3kp3otbWacU`cS`dR`DVTH`MIdLIgKHiIGjHFkGEl\ FEnEDoDCpBBqAGs9At8Fu7Kv6Pw5Ux7Zy9`zAbzCdzDfzMhzKj\ zJlzInzGpzFrzEtzGvzHxzJzzKzzMzzNzzPzzQzzPzzOzzNzzM\ zzLzzKzzJzzIzzHzzrzzszzszzszztzztzztzzuzzuzzuzzvzz\ wzztzzrzzozzmzzjzzhzzezzc } 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=========================================

1 0

Tendrils and Chlorophyll
by Roger Alexander 18 Sep '10

18 Sep '10

Tendrils and the green of chlorophyll- that's veggieness. A Kerry Mitchell formula. Fractint gif and re-sampled jpg at http://maxitersfractalfollies.blogspot.com. In this case a re-sampling was almost mandatory, without anti-aliasing the graphic is a dotted mess. fract425.gif { ; blank ; blank ; calctime 0:02:18.03 ; created Sep 18, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=field4_jul passes=1 center-mag=+0.10863579474342960/+0.86293823038397370/64.10256 params=0.375/0.375/20000000/15 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=0100200300400500700800900A00B00D00E00F00G00H00J00K00L00M00N00P00Q\ 00R00S00T00V00W00X00Y00Z00`00a00b00c00d00f00g00h00i00k00k01k02k03l04l05l\ 05m06m07m08n09n0An0Bo0Bo0Co0Dp0Ep0Fp0Gp0Hq0Hq0Iq0Jr0Kr0Lr0Ms0Ns0Ns0Ot0Pt\ 0Qt0Ru0Su0Tu0Tu0Uv0Vv0Wv0Xw0Yw0Zw0Zx0_x0`x0ay0by0cy0dz1dz1ez1ez1fz2fz2gz\ 2gz2hz3hz3iz3iz3jz4jz4kz4kz4lz5mz5mz5nz5nz6oz6oz6pz6pz7qz7qz7rz7rz8sz8sz\ 8tz8uz9uz9uz9tz9tz9tz9sz9sz8sz8rz8rz8rz8qz8qz7qz7pz7pz7oz7oz7oz6nz6nz6nz\ 6mz6mz6mz5lz5lz5lz5kz5kz5kz4jz4jz4iz4iz4iz4hz3hz3hz3gz3gz3gz3fz2fz2fz2ez\ 2ez2dz1dz1cz1bz1ay1`y1_y1_x1Zx1Yx1Xw1Ww1Vw1Uv1Uv1Tv1Su1Ru1Qu1Pt1Ot1Ot1Nt\ 1Ms1Ls1Ks1Jr1Ir1Ir1Hq1Gq1Fq1Ep1Dp1Cp1Co1Bo1Ao19n18n17n16m06l06k06j06i06h\ 06g06f05e05d05c05b05a05`05_05Z04Y04X04W04V04U04T04S04R03P03O03N03M03L03K\ 03J03I02H02G02F02E02D02C02B02A0190180170160150140130010 } frm:field4_jul { ; Kerry Mitchell 20jan98 ; ; Colors Julia sets by nearest approach to ; period 4 field lines ; ; use decomp=256 ; p1 = Julia parameter ; real(p2) = bailout (try 1e12) ; imag(p2) = number of field line to use: 0 - 15 ; 4 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/15): ; ; iteration ; compare tangent of polar angle with desired ; field line angle, update minimum if needed ; iter=iter+4, zc=sqr(zc)+c, 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

1 0

Re: [Fractint] Paul Carlson
by JackOfTradeZ＠comcast.net 18 Sep '10

18 Sep '10

. this bio is dated 2006: http://departments.fmarion.edu/mathematics/museum/author.html and "Mr. Carlson currently lives and works in Fort Collins, Colorado. " right up the road from me - maybe I stop by and say hello! I remember the MBF program many years ago - I played with it for a while, still have it somewhere in my archives ... I think he just retired and hanging out in "one of the best cities to live and retire in the USA" as Ft Collins is known. I always thought he had been abducted by a UFO .... .

4 3

FOTD 18-09-10 (Caught in Flight [6])
by Jim Muth 17 Sep '10

17 Sep '10

FOTD -- September 18, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies in virtually the same parent fractal that held the image of September 16. I say virtually the same fractal because I have refined the real(p2) parameter so that the parent fractal now has perfect X-axis symmetry rather than almost perfect symmetry. The refinement makes no difference in the surface appearance of the parent, but it gives a more satis- factory base to today's image, (whatever that means). The scene of today's fractal lies in a spurious valley of the large mini- brot on the northern of the two main spikes of the parent. The image rates only a 6. The colors lack a certain harmony that could raise it to a rating of 7 or 8. And the sharply angular shapes themselves have a vaguely threatening appearance. The name "Caught in Flight" was the first thing that came to mind when I stopped trying to think of a name. It has no rational connection to the image. The calculation time of 10-3/4 minutes is a bit long for today's image. I suggest a trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> to view the finished image. The rain ended Thursday night, but dark lumpy clouds hung on all day Friday here at Fractal Central. The temperature of 64F 18C felt a bit chilly, though it was not all that unpleasant. The fractal cats spent the day checking for unwanted stray cats in the vicinity. My day was appropriately busy for a Friday. With the garden well watered, FL took it easy. Unless an unexpected antiquing trip comes up on Saturday, the next FOTD will be posted in 24 hours. Until whenever, take care, and take it easy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Caught_in_Flight { ; time=0:10:45.37-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-1.751081846385343/+0.0208545867075613/\ 2.07e+011/1/70/0 params=2.003/0/-0.00941066196782/0 float=y maxiter=12500 logmap=1111 mathtolerance=0/1 colors=000KZmKZmKZlKZkK_jK`iKahKbgKcfKdeLedMfcNgbO\ haPi`PhYOgVOgTOfQNeNNdKNdHMcEMbBMb9NcANdBOdCOeDPfE\ PfFQgGQgHRhIRiJSiKSjLTkMTkNUlOUlPTfTS`WSVZRPaQJdQD\ gOHdNKaLOZKRWIUTHYQF`NEcKCgHBjE9mB8q86t55w3WqHvlUu\ kSujQtiOtiMshKsgIrgGrfEqeCqeBnbCk`ChZCfXCcVC`TCZRC\ WPCTNCRLCOJCLHCJFCQJIWNOaQUgU_mXes`kycqnaid`bV_WKZ\ PAYI0XB1VA1U92S82R83P73O64M64L54J45F45A365260970G7\ 0J72N65Q56W45`44f9EfEMfJWhOdjTll_rpgtzjzzeuzapzZkv\ ZbrZZmZVhZRcZNZZJUZFPZBKZ8FWFATM9QTAN_BKfCHmDEsDFq\ CGoCHnCIlCuwhcrcUUUMfCNdBOcBPaBQ`BRZBSYBTWBTVBANZD\ dbGgfJjjLnnOqrRtvTwzVLvXtsYso_rlaqhbpezz0fmZglWikS\ kjPliMmgLneKocJoaIp_HqYGqXGrVFsTEtRDuPCvNBwMAxOAyQ\ 9zS9zU9zW9zY9z_9za9zc9zc9zc9zc9zc9ze9zgCziFzkIzmLz\ mOzmRzoTzqWztZzwazzdzzgzzjzzlzzmzzmzzmzzmzzmzzmzzz\ 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=========================================

1 0

Spirals With Spirals
by Roger Alexander 17 Sep '10

17 Sep '10

A spiral with spirals. When I say fractal I say self-similarity. Fractint compatible gif and re-sampled jpg at http://maxitersfractalfollies.blogspot.com. fract420.gif { ; spirals ; blank ; calctime 0:09:55.07 ; created Sep 16, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=bubbleboth_jul center-mag=0.135169/0.511853/13.33333 params=0.375/0.375/64/0.5/1/1 float=y maxiter=3600 inside=0 outside=atan periodicity=0 colors=05FOT_PT_PT`QU`QUaRVaRVaSWbSWbTXbTXcUYcUYcVZdVZdW_eW_eX`eX`fYafYa\ fZbgZbg_ch_ch`ch`diadiaeibejbfjcfjcgkdgkdhlehleilfimfjmgjmgknhknhlniloim\ ojmpjmpknpknqloqloqmprmprnqsnqsorsortpstpstqtuqturuuruvsvvsvwtwwtwwuxxux\ xuxxvyyvyywzzvyyvyyuxxtxxtwwsvwsvvruvquuqtupstostorsnqsnqrmprlpqloqknpjn\ pjmoimohlnhkngkmgjmfjleilehkdhkcgjcfjbfibeiaeh`dh`cg_cgZbfZbfYaeX`eX`dW_\ dW_cVZcUYbUYbTXaSWaSW`RV`RV_QU_PTZPTZOSYNSYNRXMQXLQWLPWKPVKOVJNUINUIMTHL\ TGLSGKSFKRFJREIQDIQDHPCHPBGOBFOAFN9EN9EM8DM8CL7CL6BK6AK5AJ49J49I38I37H27\ H16G16G05F05F05F16G16G16G16G16G27H27H27H27H27H38I38I38I38I38I49J49J49J49\ J49J5AK5AK5AK5AK5AK6BL6BL6BL6BL7CM7CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9E\ O9EOAFPAFPAFPAFPAFPBGQBGQBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJ\ TFKTGKUGLUHLVHMVIMVINWJNWJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_ } frm:bubbleboth_jul { ; copy ; Kerry Mitchell ; color Julia sets with small bubbles ; filled with swirls (combination of rays and circles) ; ; use outside=iter, decomp=256 ; p1 = Julia parameter ; real(p2) = bailout (at least 4) ; imag(p2) = radius of bubble (try ~ .1) ; real(p3) = amount of circles (0 for only rays, try 0.5) ; imag(p3) = amount of rays (0 for only circles, try 0.5) ; zc is the variable used for iteration, z for coloring ; zc=pixel, c=p1, maxr=real(p2), minr=imag(p2), scale=2*pi/minr minset=0, iter=1, rzc=cabs(zc), minzc=zc weight=real(p3)+imag(p3) weightc=real(p3)/weight, weightr=imag(p3)/weight ; ; initial check: see if pixel magnitude falls within threshold ; if so, set minset flag, update minimum to current magnitude ; if (rzc<minr) minr=rzc, minzc=zc, minset=1 end if : iter=iter+1, zc=sqr(zc)+c, rzc=cabs(zc) ; ; iteration check: see if iterate falls within threshold ; if so, set minset flag, update minimum to current magnitude ; if (rzc<minr) minr=rzc, minzc=zc, minset=1 end if ; ; bailout ; set "iteration done" flag (iter=-1) ; scale minr to find decomp angle for circles ; take polar angle from minzc to ray decomp angle ; final angle is weighted average of ray and circle angles ; if a new minimum was never set (minset=0), ; set z=0 (color 0 under decomp) ; if ((rzc>maxr)||(iter==maxit)) iter=-1 anglec=scale*minr, angler=imag(log(minzc)) angle=weightc*anglec+weightr*angler z=(cos(angle)+flip(sin(angle)))*minset end if iter > 0 } Roger Alexander

1 0

FOTD 17-09-10 (A Fractal's Baby [No Rating])
by Jim Muth 16 Sep '10

16 Sep '10

FOTD -- September 17, 2010 (No Rating) Fractal visionaries and enthusiasts: Today's image is another quick one from the Mandelbrot set. It lies on the northeast shore line of the main bay, in the basin of a very minor bud. I named the image "A Fractal's Baby". After all, a minibrot actually is a baby Mandelbrot set. I could not give the image a rating. The Mandelbrot set is far too familiar and well explored to supply many truly new images. Perhaps the best point of the image is its lightning fast calculation time of 2 seconds, which means little effort will have been wasted if the image proves deficient. All anxiety may be eliminated however by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The great weather of Wednesday here at Fractal Weather vanished on Thursday, when we had an all-day rain with a temperature of 61F 16C. The fractal cats paid no attention to the outdoor conditions. They were more interested in being fed. My day was not too busy, but I spent too much time wheel- spinning. FL watched with satisfaction as the rain watered her flowers. The next FOTD will be posted in 24 hours. Until then, take care, and be enlightened with the right enlightenment. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Fractal's_Baby { ; time=0:00:02.03-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.3715633565073\ 265/+0.2730086394944079/3.25e+013/1/-5/0 params=0/0 float=y maxiter=6000 bailout=9 inside=0 logmap=224 periodicity=6 mathtolerance=0.05/1 colors=000bjddjcejbfjahj`ij`jj_kkZmlYomXqnWsnVuoUw\ pTypTvqVzqXzrYzr_zrazsbzsdzseztgzsizrjzqlzpnzooznq\ zmszmtzmuzmvzmwzmxzmyzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ yzmxzmwzmuzmszmqykoximwgkveiucgtaes_csXarT_oRZmPXl\ NVkLUjJSiHQhFPgENfCMcDL`EKYFKTGKOGHLFHHFEEEC5D00B0\ BKMJURRmXZmaflgnrlvwqsupqsooqompnknmilmgjleikcgkae\ j_ciYbiW`hUZgSYgT_fT`fUaeUbeVddVedWfdWgcXicXjbYkbY\ lbZmc_nc_oc`pc`qcaqcbrcbscctccucdvcdvcO`S8FG8Z99bE\ 9eIAiMAlQBpUBsYCqXCoWDnWDlVDjVEiUEgUEeTFdSFbSF`RG_\ RGYQGXQIVOKUMMTLOSJQRHSQGUPEWOCYNB_M9aL7bK6dNEeQMf\ STgV`hYhi_ogepekpcimbgjafh`de_bcZa`Y_ZXYWWXTVVRUTO\ TSMSQJRPHQOIPOJOOKNOLNOMMONLOOKOPKOPRSSYVUdYWk`Zrc\ `yfbthYpjTklPgnKbpFZrBUt6Qu2WvB`wKfxTkyaqzjvzrnzng\ zk`zhUzeNzbGz_9zXHzVPzTWzRXzPYzNZzL_zK`zIazGazFbzD\ czBdzAez8fz6fz5ez5cz4bz4az4_z3Zz3Yz3ZzF_zQ_z`XzeVz\ jSzoQztOzyMztKzpIzlPzoVzr } END PARAMETER FILE=========================================

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Further research on Paul Carlson & his "Mind-Boggling Fractals" site; 2nd posting
by Hal Lane 16 Sep '10

16 Sep '10

(My 1st post of this info was inadvertently emailed in HTML format instead of Plain Text format. Below it's in Plain Text.) > Does anyone on the list know what became of Paul Carlson? Further research on Paul Carlson and his "Mind-Boggling Fractals" website... However, you can skip my research and go directly to the last www.archive.org archive of Paul's actual web site: http://web.archive.org/web/20041119093332/http://www.mbfractals.com/ or http://tinyurl.com/Mind-Boggling-Fractals-archiv Note that the archived web site offers images & software for sale. They are no longer for sale. Paul N. Lee's (PNL) links include access to Paul Carlson's (now free) software: http://www.Nahee.com/Software/MBF/ http://departments.fmarion.edu/mathematics/museum/author.html I followed John's link (from a previous posting to [Fractint]) - "Carlson's stuff can be still viewed at: http://sprott.physics.wisc.edu/carlson/ John W." A link on that page to: "the Paul Carlson Fractal Museum": http://acsweb.fmarion.edu/math/museum/ gave a "page cannot be found" (This is the site that is apparently now at the: "departments.fmarion.edu" site in Paul N. Lee's link above.) However, looking for the "acsweb.fmarion.edu" page at: http://www.archive.org/index.php using their "Wayback Machine" revealed that they had a copy of the page archived at: http://web.archive.org/web/20080731092344/http://acsweb.fmarion.edu/math/mu… or http://tinyurl.com/392bq38 The archived page says: The Paul Carlson Fractal Museum Presented on the Web by Matthew Sanderson ... Paul Carlson, 3343 Santa Fe Court, Fort Collins, Colorado 80526 They also had a page called "About Paul Carlson" whose contents I pasted below: http://web.archive.org/web/20080609025237/acsweb.fmarion.edu/math/museum/au… or http://tinyurl.com/about-Paul-Carlson =============================================================== Paul W. Carlson Paul Carlson has been programming computers since 1979, and has been professionally employed in them since 1984. He wrote his first fractal-generating program in 1985, and has written about a dozen of them since. Of these, only the program called "Mind-Boggling Fractals" was for a general audience, the others being private code for private use. In the year 1995, Mr. Carlson discovered a general method of rendering fractals that produce images with sharply defined elements and having a rounded, three-dimensional appearance. He began posting some of these images that year to the newsgroup alt . binaries . pictures . fractals, and was soon offered free webspace for fractal galleries at universities in France, the United States, and Canada. This public exposure led to several hundred (perhaps over a thousand) email messages about his images. Requests came as well that they be published in books. All such requests were granted, and so his fractals now appear in seven books in as many different languages. At the request of others, Mr. Carlson wrote two articles for Computers & Graphics, one printed in 1996 and the other in 1999. These articles may be accessed through the museum's Links page. In the 1980s and into the 1990s, Mr. Carlson maintained his own website wherefrom he displayed much of his work and sold his program Mind Boggling Fractals. This is the program with which he generated the images currently on display at this museum. Unable to maintain his site, he let it go dark in 1994. At that time, Clint Sprott, Professor of Physics at the University of Wisconsin at Madison, maintained an archive of much of Mr. Carlson's work. This museum opened in the year 2006, using as source material the archive of Clint Sprott and the remnants of Mr. Carlson's original site that were somewhat miraculously saved from destruction by www.archive.org. Mr. Carlson currently lives and works in Fort Collins, Colorado. All images © Paul Carlson 1995-2004 Design by Matthew Sanderson Page updated on: 04/24/2006. ==================================================================== The above archived web site had a link to various archived snapshots over time of Paul's Mind-Boggling Fractals website. The last www.archive.org archive of Paul Carlson's actual *original* Mind-Boggling Fractals web site is here: http://web.archive.org/web/20041119093332/http://www.mbfractals.com/ or http://tinyurl.com/Mind-Boggling-Fractals-archiv Later archives show: "The Mind-Boggling Fractals website no longer exists." or a blank page. Note that the archived web site offers images and software for sale. They are no longer for sale. Paul N. Lee's links (at the top of this email) include access to Paul Carlson's software. PNL says, "...he has now offered it to the public for FREE use." ===================================================================== My experience is that the web archive at the "Wayback Machine" located at: www.archive.org can be expected to have occasional missing images on the pages it archives. - Hal Lane hallane(a)earthlink.net ----- End of Email --------- - Hal Lane

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FOTD 16-09-10 (Land of Strangeness [6])
by Jim Muth 16 Sep '10

16 Sep '10

FOTD -- September 16, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image rates only a 6, which is un-exceptional, but it's still a rather interesting one, filled with various unexpected features and assorted other minor delights. The parent fractal is a Mandelbrot set with two parallel main spikes. Today's scene lies in the chaos between the spikes just east of the two large minibrots. The curious value of the real(p2) parameter is critical. The parent fractal has perfect X-axis symmetry only at this strange value, which is the reason I named the image "Land of Strangeness". The calculation time of 12-1/4 minutes is slower than I would like. Rendering the image with passes=g cuts the calculation time significantly, but it also misses much of the finer detail. The way to both save time and see all the detail is to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Wednesday was totally perfect here at Fractal Central, with Kodachrome blue skies, gentle breezes and a temperature of 73F 23C. The fractal cats spent the morning watching for intruding cats, and the afternoon, sleeping. My day was comfortably busy. FL spent most of the day with her flowers. The next FOTD will be posted in 24 hours. Until then, take care, and now that the old Kodachrome film is gone, the skies will never again appear so blue. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Land_of_Strangenss { ; time=0:12:16.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.751081879132979/+0.02085462071170922\ /7.33933e+010/1/35/0 params=2.003/0/-0.00941067/0 float=y maxiter=8000 inside=0 logmap=1050 mathtolerance=0.05/1 colors=000KKKIjcRc_ZWWgPSoHOwAKs9Jp8Im8Hj7Gf7Fc6E`\ 6DY5CU4BR4AO39L38H27E26B15815A17B19D1BE1DG1FH1HJ1J\ K1LM1NN1PP1RQ1TR1VR9SRGQRONRVLUUOWUQYTS_TVaTXdSZfS\ ahRcjRelRgeVZZYQT`HUYKUVMVTPVQRWOUWLWXJYXG`YDbYBeZ\ 8gZ6j_3l_1n`2o`2oa2pa2pb2qb2qb2qc2rc2rd2sd2sd2sa5n\ Z8jWAfTDbQFZNIUKKQHNMEPIBSE8UA9TB9SCARCAQDBPDBOECN\ ECMFCMFAMM8MT6M_5Me7LY8KPAJHCI8LVrJRdHORFLD_p0Wj0S\ d0OZ0KT0GN0RMKKKAPGRLHIHI9XpjUkcRfXOaQLXKISDFN6tqH\ lkEeeBZ_8RU5KO21Nq3Mh5L_7KR9JIBI9qKUhJO`JItmcrjcnf\ `hdWVbUMO8BWbCUYCSTCQOCPJDNEDL9zz4zzMzzIzxEzqBnj7U\ c3OCbIFJzOCsNAmM9gL7aL6VK4PJ3JI1W1wS4mP7cMAUJDKGGA\ mP6mO5cI4YM3SL2NK1IJ0sYUYQFvVHpTEjRCdQA_O8UM6OL4IJ\ 2NM3LL2KL2JK1IK1GJ1FJ0EI0olxhfmbacWXUQSKJNACQWUUUF\ cSaVVTzKLzAkzIUz9rznlzffz_`zzzzLzzEzz7zz`zzOzzCzzS\ zzLzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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Metallic Plates
by Roger Alexander 15 Sep '10

15 Sep '10

Today's fractal is from a Paul Carlson formula that uses the orbit trap coloring algorithm. It suggests metal plates folded and stacked. The orbit trap formulas are appealing because of the pseudo-3d effect they are capable of. I chose a map that gives a metallic sheen effect. fract417.gif { ; a metallic effect ; blank ; calctime 0:01:12.45 ; created Sep 14, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=frac_ml.frm formulaname=Eqn_5 center-mag=-4.44089e-016/4.44089e-016/0.6548015/1/27.4999999999999929/-3\ .77822773067748585e-014 params=1.330027161473434/-0.2296517838068789/0.685644093142491/0.7185430\ 463576159/1/256 float=y maxiter=1000 outside=summ cyclerange=0/255 colors=4DD4DD3CC3CC3CC2BB1BB1AA0AA0AA1BB1BB2CC2CC3DD3DD4DD4EE5EE5FF6FF6F\ F7GG7GG8HH8HH9HH9IIAIIAJJBJJBJJCKKCKKDLLDLLELLFLLFMMGMMGNNHNNHOOIOOIPPJP\ PJPPKQQKQQLRRLRRMSSMSSNTTNTTOTTOUUPUUPVVQVVQWWRWWRXXSXXSXXTYYTYYUZZUZZV_\ _V__W``W``W``XaaXaaYaaYaaYbbYbbZbbZbb_cc_cc`dd`ddaddaeebeebffcffcffdggdg\ gehhehhfiifiigiigjjhjjhkkikkikkjlljllkmmkmmlnnlnnmnnmoonoonppoppopppqqpq\ qqrrqrrrrrrssssssttttttuuuuuuuuvvvvvvwwwwwwwwwxxxxxxyyyyyyyyyxxxxxxwwwww\ wvvvvvvuvvuuutuutttsttsttrssrssqrrqrrprrpqqoqqoppnppnoomoomoolnnlnnlmmkm\ mkmmjlljllikkikkhkkhjjgjjgiifiifiiehhehhdggdggcggcffbffbeeaeeaeeadd`dd`c\ c_cc_ccZbbZbbYaaYaaXaaX``W``W__V__VZZUZZUZZTYYTYYSXXSXXRXXRWWQWWQVVQVVPV\ VPUUOUUOTTNTTNTTMSSMSSLRRLRRKRRKQQJQQJPPIPPIPPHOOHOOGNNGNNFNNFMMFMMELLEL\ LDLLDKKCKKCJJBJJBIIAIIAII9HH9HH8GG8GG7GG7FF6FF6EE5EE5EE } frm: Eqn_5 {; Copyright (c) Paul W. Carlson, 1998 ; Always use float=y, outside=summ ; ; real(p1) = escape circle radius squared ; imag(p1) = 0 if Mset, non-zero if Julia set ; p2 = Julia set coordinates ; real(p3) = number of color ranges ; imag(p3) = number of colors in a range ; z = iter = range_num = bailout = 0 IF (imag(p1) != 0) w = pixel c = p2 ELSE w = 0 c = pixel ENDIF prev_modw2 = 1.0e20 rad2 = real(p1) num_ranges = real(p3) colors_in_range = imag(p3) colors_in_range_1 = colors_in_range - 1 : w2 = w * w w = c * (1 - w2) / (1 + w2) ; IF ((prev_modw2 < rad2) * (|w| > rad2)) bailout = 1 index = colors_in_range_1 * (rad2 - prev_modw2) / rad2 z = index + range_num * colors_in_range + 1 ENDIF prev_modw2 = |w| range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 ;SOURCE: 98msg.frm } Roger Alexander

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Further research on Paul Carlson & his "Mind-Boggling Fractals" site
by Hal Lane 15 Sep '10

15 Sep '10

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FOTD 13-09-10 (Carlson Minibrot [No Rating])
by Jim Muth 15 Sep '10

15 Sep '10

FOTD -- September 13, 2010 (No Rating) Fractal visionaries and enthusiasts: Being far behind in nearly everything, I cheated a little today and found a quickie fractal in the Mandelbrot image that was posted to the list on Sep 11 by Roger Alexander, using a formula that was created by Paul Carlson in 1998. Since the Sep 11 image is basically a tricked-out Mandelbrot set, I found today's scene by checking Seahorse Valley of the classic M-set for a minibrot and transferring the coordinates to the Sep 11 image. Some parameter tweaking was necessary, but in the end I turned up a fractal (if that's what it is) that I felt worthy of granting FOTD status to. Since the image is not of my own origin, (I used the Sep 11 color palette as well), I could not rate it. The name "Carlson Minibrot" gives recognition to the writer of the formula. The calculation time of just under 3 minutes is brief enough to make calculation almost a joy. The image may also be viewed in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> Ample sun and a temperature of 81F 27C made for an acceptable mid-September day here at Fractal Central on Monday. (I'm still a day behind on the FOTD's, so the weather is for the day of the FOTD.) The fractal cats must have been totally satisfied. They gave no comment, verbal or otherwise, about the weather. My day was busy; FL's was even busier. The next FOTD will be posted in 24 hours, maybe sooner if I find a chance to start getting caught up. Until next time, take care, and take comfort in the illusory reality of the real world. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Carlson_Minibrot { ; time=0:02:58.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=mandel_rings center-mag=-1.76859049464\ 5/+0.001606111983/8e+007/1/180 params=0.18/0/4/64 float=y maxiter=3200 inside=0 outside=summ colors=zz0000zbezbeyadyady`cy`bx_bxZaxZaxY`wY_wX_w\ XZwWZvWYvVXvUXvUWuTWuTVuSUuSUtRTtRTtQStPRsPRsOQsOQ\ sNPrNOrMOrMNrLNqKMqKLqJLqJKpIKpIJpHIpHIoGHoFHoFGoE\ FnEFnDEnDEnCDmCCmBCmABmABl9Al99l89l88k78k77k66k56j\ 55j45i33j33i33i22i22i11h00h00g00g00f00e00e00d00c00\ c00b00b00a00`00`00_00Z00Z00Y00X00X00W00W00V00U00U0\ 0T00S00S00R00Q00Q00P00P00O00N00N00M00L00L00K00J00J\ 00I00I00H00G00G00F00E00E00D00C00C00B00A00A00mmzllz\ kkyjjyiixhhxggxffweeweevddvccvbbuaau``t__tZZtYYsYY\ sXXrWWrVVqUUqTTqSSpRRpQQoPPoPPoOOnNNnMMmLLmKKmJJlI\ IlHHkHHkGGjFFjEEjDDiCCiBBhAAh99h99g88g77f66e55d44c\ 33b22a11a00`00_00Z00Y00X00W00U00S00R00`00_00_00Z00\ Z00Z00Y00Y00X00X00W00W00W00V00V00U00U00U00T00T00S0\ 0S00R00R00R00Q00Q00P00P00O00O00O00N00N00M00M00L00L\ 00L00K00K00J00J00J00I00I00H00H00G00G00G00F00F00E00\ E00D00D00D00C00C00B00B00A } frm:Mandel_Rings {; Copyright (c) Paul W. Carlson, 1998 z = w = k = iter = range_num = bailout = 0 c = pixel ring_width = real(p1) num_ranges = real(p2) colors_in_range = imag(p2) index_factor = (colors_in_range - 1) / ring_width : w = w * w + c ; dist = abs(|w|-.25) IF (dist < ring_width && iter > 0) bailout = 1 z = index_factor * dist + range_num * colors_in_range + 1 ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: carlson2.frm } END PARAMETER FILE=========================================

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<Mike Traynor> What became of Paul Carlson, answered.
by Hal Lane 15 Sep '10

15 Sep '10

>Does anyone on the list know what became of Paul Carlson? When I exchanged email with him 6(?) or 8(?) years ago he told me that he had bladder cancer. At that time I made a personal copy of his web site and free version of his program. - Hal Lane hallane(a)earthlink.net -----Forwarded Message----- >From: Mike Traynor <lmtraynor(a)sympatico.ca> >Sent: Sep 14, 2010 1:30 PM >To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> >Subject: Re: [Fractint] FOTD 13-09-10 (Carlson Minibrot [No Rating]) > >On 13/09/2010 10:22 PM, Jim Muth wrote: > >> Being far behind in nearly everything, I cheated a little today >> and found a quickie fractal in the Mandelbrot image that was >> posted to the list on Sep 11 by Roger Alexander, using a formula >> that was created by Paul Carlson in 1998. > >Does anyone on the list know what became of Paul Carlson? I know he did his own fractal generator but then a few years ago his website disappeared. > >Mike > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint - Hal Lane

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FOTD 15-09-10 (Way Out on the Spike [5])
by Jim Muth 14 Sep '10

14 Sep '10

FOTD -- September 15, 2010 (Rating 5) Fractal visionaries and enthusiasts: Today's image is another quick one. I intentionally chose a quick image in the Mandelbrot set to give myself a chance to get caught up. The name of today's image, "Way Out on the Spike", describes the location. The scene lies in a valley on the north shore line of the 12th bud out the main spike. The location is remote enough to earn a rating, in today's case, a rating of an average 5. The problem preventing a higher rating is that all minibrots out here tend to look the same. Of course, the problem might also be that I have never searched the area carefully enough. The calculation time of 2-3/4 minutes is already fast enough, but the image may be seen even faster by surfing to the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished product there. The Tuesday conditions here at Fractal Central were described in the FOTD for Sep 14, which was posted a day late. Now we're pretty much caught up however, so things should continue on the normal schedule for a while. The next FOTD will be posted in 24 hours. Until then, take care, and then do it again. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WayOut_On_TheSpike { ; time=0:02:46.65-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.4011\ 5489814699/+0.00000024893945/2.2025e+010/1/-125/0 params=0/0 float=y maxiter=250000 inside=0 logmap=-33022 mathtolerance=0.05/1 colors=000`kt`mu`ovauu`pv_lw_gxZcxZZyYVzYRzYRuYRpY\ RkYRgYRbYRYaNY_PWYRUWTSUVQSXPQZNP_LNaJLcIJeGHgEFiC\ FiBEjBEkBEkBElBElBEmBEmBDnBDnBDoBDoBDpBDpBDqBCrBCr\ BCsBCsBCtBCtBCuBBuBBvBBvBBwBBwBBxBBxBItKPpTWmabijg\ dwifrjgnkhiliemj`nkXpmSqnOroJspFtqAws5xu6yw7wz7zz8\ zz8zz9zz9zvAzrAzmBzhBzcCzZCzVDzTEvSErQFmOFhMGcKGcJ\ HcHHcFIcDIZBJUFLPCKKAJK7IN2IO5HO7GOAGOCFOFFPHEPKKP\ MPPUUPcZNmcOwhPzmQwrRvvSszTrzUmzVmvWmrXcmY0hZ0c_0Z\ `0Ua0Pb0Kc0Fd0Ae07f04g04h03i03j02k02l01zN1zN1zN1zO\ 3zO5zP7zP9zQBzQCzREsRGqRIlSKiSMiTNiTPhURhUThUVgVXg\ VYgW_fWafXcfXedUgfXfh_ekbdjaei`eh_fhZfgYgfXgfWheVh\ dUmdTrcSvbRzbQzaPz`Oz`Nz_MzZLzYKzYJzXIzWHzWGzVFzUE\ zUDzUCzZBzcAzh9zm8zr9zv8zz8zz8zz8zz8zz7zz7zz7zz7zz\ 7zz6zz6zz6zz6zz6zz5zz5zz5zz5zz5Rz2Pz4Qz5Qz6Rz8Rz9R\ zASzCSzDTzETzGTzHUzIUzKVzLVwMVxOWyPWzObzPZzQWzQSzR\ PzRMzSIzTFzTBzU8zT3zhrzis } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint Digest, Vol 91, Issue 11
by marcusadriana＠mls.com.br 14 Sep '10

14 Sep '10

Thanks, the solution was to save: "S" every new "fract001" in order to have a new image that you could access. Now, after 20 fratint's years I'm as a newcommer !! Marcus > Message: 4 > Date: Tue, 14 Sep 2010 07:58:04 -0600 > From: Richard <legalize(a)xmission.com> > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] Fractint Digest, Vol 91, Issue 10 > Message-ID: <E1OvW1M-00021g-Sc(a)shell.xmission.com> > > > In article <20100914103334.16726j64r3ly7nnk(a)webmail.mls.com.br>, > marcusadriana(a)mls.com.br writes: > >> Can anyone teach me how to make bigger drawings in the new Winfract? >> The "Dell" control only allows a 800X600 pixels image and I do not >> know how to show in the screen the disk generated images. > > Disk rendering never showed the image on-screen. You have to wait > until its done rendering. > -- > "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download > <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> > > Legalize Adulthood! <http://legalizeadulthood.wordpress.com> > > > > ------------------------------ > > Message: 5 > Date: Tue, 14 Sep 2010 13:30:52 -0400 > From: Mike Traynor <lmtraynor(a)sympatico.ca> > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] FOTD 13-09-10 (Carlson Minibrot [No Rating]) > Message-ID: <BLU0-SMTP86AE8C5F0BA8BF3A10D09ADD780(a)phx.gbl> > Content-Type: text/plain; charset=ISO-8859-1; format=flowed > > On 13/09/2010 10:22 PM, Jim Muth wrote: > >> Being far behind in nearly everything, I cheated a little today >> and found a quickie fractal in the Mandelbrot image that was >> posted to the list on Sep 11 by Roger Alexander, using a formula >> that was created by Paul Carlson in 1998. > > Does anyone on the list know what became of Paul Carlson? I know he > did his own fractal generator but then a few years ago his website > disappeared. > > Mike > > > > ------------------------------ > > Message: 6 > Date: Tue, 14 Sep 2010 10:39:37 -0700 > From: "John W." <juanw(a)shaw.ca> > To: "Fractint and General Fractals Discussion" > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] FOTD 13-09-10 (Carlson Minibrot [No Rating]) > Message-ID: <B2AFACCC0AF44F8D8FA072ED6083DD23@JohnW> > Content-Type: text/plain; format=flowed; charset="iso-8859-1"; > reply-type=response > > Carlson's stuff can be still viewed at > > http://sprott.physics.wisc.edu/carlson/ > > John W. > > >> On 13/09/2010 10:22 PM, Jim Muth wrote: >> >>> Being far behind in nearly everything, I cheated a little today >>> and found a quickie fractal in the Mandelbrot image that was >>> posted to the list on Sep 11 by Roger Alexander, using a formula >>> that was created by Paul Carlson in 1998. >> >> Does anyone on the list know what became of Paul Carlson? I know he did >> his own fractal generator but then a few years ago his website >> disappeared. >> >> Mike > > > > > > ------------------------------ > > Message: 7 > Date: Tue, 14 Sep 2010 14:25:54 -0400 > From: Jim Muth <jamth(a)mindspring.com> > To: fractint(a)mailman.xmission.com > Subject: [Fractint] FOTD 14-09-10 (The 'brot Revealed [No Rating]) > Message-ID: <1.5.4.16.20100914142557.143f02f6(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- September 14, 2010 (No Rating) > > Fractal visionaries and enthusiasts: > > For today's FOTD, I un-tricked the tricked-out minibrot that > appeared as yesterday's FOTD. What I found was a routine > minibrot in Seahorse Valley, something we have often seen > before. The name "The 'brot Revealed" followed immediately. > > Rendering the scene with the outside set to 'tdis' added a bit > of interest, but not enough to raise the image to the point of > earning a rating. > > With not much material to work with, I put little effort into > the coloring, which IMO is rather somber, making the FOTD a > vampire image, like one of those movies on late-night TV. > > The calculation time of 1-3/4 minutes is fast enough to keep > disappointment to a minimum. Disappointment may be eliminated > entirely however by visiting the FOTD web site and viewing the > finished image there. The web site may be accessed at: > > <http://www.Nahee.com/FOTD/> > > Near perfect weather graced the Fractal Central section of > Central Pennsylvania today. The Kodachrome blue sky and tempera- > ture of 73F 23C were just what the fractal cats ordered. The > few puffy clouds simply added to the vista. > > My day was quite busy, but I am starting to catch up on the > FOTD's, the next of which will be posted in the near future. > Until whenever, take care, and if nothing is real, then what is > it that claims nothing is real? > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > The_'brot_Revealed { ; time=0:01:46.45-SF5 on P4-2000 > reset=2004 type=mandel center-mag=-1.768590494645/\ > +0.001606111983/1.3e+008/1/180 params=0/0 float=y > maxiter=3200 bailout=9 outside=tdis inside=0 > colors=000gQogRngRmhRlhRkhRjiRiiRhiSgjSfjSejSdkSck\ > SbkSaiT_hTZfTXeTWcTUbUT`UR_UQYUPXUNVUMUVKSVJRVHPVG\ > OVFMVDLWCJWAIW9GW7FW6EW5DZBC`HBbMBdSAfX9hb9jh8lm7n\ > s7pxAqwCqwEqwHqwJqvLqvNqvQqvSqvUruXruZru`rubrtertg\ > rtirtkrtiorgmqfkodincglaek`cjZahY_gWYeVWdTUcRSaQQ`\ > OOZNMYLKWKIVIGUHESFCREAPC8OB6ND7QF8TH8WJ9YL9`NAcPA\ > eRBhTBkVCmXCpZDs_DuZEqZFmZGiZHeZIaZJYZKUZLRZMNZNJZ\ > OFZPBZQ7ZR3ZS0WU0UW0SY0QW1PV1OU1NS1MR1LQ2KP2JN2IM2\ > HL2FJ30A30030030030140246343446545747969B8BC9DEBFG\ > DHHEJJGLKINMJWOLWPNWROcSQcUScWTcXVmZXm_Yma_rcardbr\ > fdrgevfdvecvebvdbzdazcczcczbczbczamzcmzcmzcmzcmzcu\ > zhuzhzzhzzmzzmzzmzK14I53H93FC2EG2CJ1BN1AQ1EN6HLAKJ\ > FOGJREOUCSY9X`7`c5d`6eZ7eW8eU9eRAePBeMCfKDfHEfFFfC\ > GfAHf8Hf7Je7Ld7Mc7Ob6Pa6R`6S_6UZ6VY5XX5YW5_V5`U5bT\ > 4cS4eR4fQ4hP4iP5jT6kX6l`7md8nh8olApkBqkCqjDrjFriGs\ > iHshIthKuhLugMvgNvffQqfQp } > > END PARAMETER FILE========================================= > > > > > > > ------------------------------ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > End of Fractint Digest, Vol 91, Issue 11 > **************************************** >

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FOTD 09-09-10 (Negative Minibrot [7])
by Jim Muth 14 Sep '10

14 Sep '10

FOTD -- September 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows a normal minibrot in the upper left and an anti-minibrot in the lower right. It's rather rare to find such an evenly matched pair this close together, so I had no choice but to color the scene and declare it FOTD for September 9. The name "Negative Minibrot" describes the image pretty accu- rately. The rating of a 7 is based mostly on the mathematical interest. I put little effort into the coloring. The calculation time of 1-3/4 minutes is well within reason. As always, the finished image may be viewed at leisure on the FOTD web site at: <http://www.Nahee.com/FOTD/> The wind was a bit blustery here at Fractal Central on Wednes- day, but everything else was near perfection, with brilliant sun, only a few small cottonpuff cumulus clouds, low humidity and a temperature of 81F 27C. The fractal duo of cats enjoyed things to the fullest. My day was satisfactory. FL's day was pretty good also, though she really could use some rain on her gardens. The next FOTD will be posted in 24 hours. Until then, take care, and not only will technology be unable to save us, it might actually be our downfall. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Negative_Minibrot { ; time=0:01:45.45-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.6979490206349266/+0.3485895250927979\ /4.57942925e+008/1/90/0 params=5/500000/0/0 float=y maxiter=2400 inside=0 logmap=70 periodicity=6 colors=000zczybzxazv`zt_zrZzpYznXzlWzjVziUzhTzgSzf\ RzeQzdPzcOzbNzaMz`LzbKzaJz`Iz_HzZGzYFzXEzXDzWCzVBz\ UAzT9yS8xR7wR6uQ5sP5qO5oN5mM5kL5iL5gK5eJ5cI5aH5_G5\ YF5WF5UE4SD4RC4QB4PA4O95N95M85L75K65J55I45H36G16F2\ 7E37F48G58H69I79J7AK7AL7BM7BN7CO7CP8DQ8DR8ES8ET8EU\ 9FV9FW9FV9GV9GUAHUAHTAHTAISAISBJRBJRBJQBKQBKPBKPCL\ ODMOEMOFNOFNOGOOHOOIPOJPOJQOKQOLROMSNNSNNTNOTNPUNQ\ UNRVNRVNSWNTWNUXNUXNWYMXYMYZMZZM_ZLa_Lb_Lc_Ld`Ke`K\ f`KhaKiaJjaJkbJlbJncImbJlaJkaJk`Jj`Ji_Ji_JhZJgYKfY\ KfXKeXKdWKdWKcVKbUKaUKaTL`TL_SL_SLZRLYQLXQLXPLWPLV\ OMVOMUNMTMMSMMSLMRLMQKMQKMUILXHL_GLbFKeEKhCKkBKnAJ\ q9Jt8Jx4Iw7JwAKwDLwFMvINvLOvNPvQQvTRuWSuYTu`UucVvf\ UueVudVucWubWubWtaXt`Xt_Yt_YtZYsYZsXZsXZsW_sV_rU`r\ T`rT`rSarRaqQbqQbqPbqOcqNcuMeqNcmOajP_fQYcRW_SUWTS\ TUQPVOKXKMWMNWNOWOPWPQWQRWSSWTTVUDAXDAYCAZBAZA9_99\ `89a79b69c58d69c69b6Ab6Aa } 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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FOTD 14-09-10 (The 'brot Revealed [No Rating])
by Jim Muth 14 Sep '10

14 Sep '10

FOTD -- September 14, 2010 (No Rating) Fractal visionaries and enthusiasts: For today's FOTD, I un-tricked the tricked-out minibrot that appeared as yesterday's FOTD. What I found was a routine minibrot in Seahorse Valley, something we have often seen before. The name "The 'brot Revealed" followed immediately. Rendering the scene with the outside set to 'tdis' added a bit of interest, but not enough to raise the image to the point of earning a rating. With not much material to work with, I put little effort into the coloring, which IMO is rather somber, making the FOTD a vampire image, like one of those movies on late-night TV. The calculation time of 1-3/4 minutes is fast enough to keep disappointment to a minimum. Disappointment may be eliminated entirely however by visiting the FOTD web site and viewing the finished image there. The web site may be accessed at: <http://www.Nahee.com/FOTD/> Near perfect weather graced the Fractal Central section of Central Pennsylvania today. The Kodachrome blue sky and tempera- ture of 73F 23C were just what the fractal cats ordered. The few puffy clouds simply added to the vista. My day was quite busy, but I am starting to catch up on the FOTD's, the next of which will be posted in the near future. Until whenever, take care, and if nothing is real, then what is it that claims nothing is real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_'brot_Revealed { ; time=0:01:46.45-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.768590494645/\ +0.001606111983/1.3e+008/1/180 params=0/0 float=y maxiter=3200 bailout=9 outside=tdis inside=0 colors=000gQogRngRmhRlhRkhRjiRiiRhiSgjSfjSejSdkSck\ SbkSaiT_hTZfTXeTWcTUbUT`UR_UQYUPXUNVUMUVKSVJRVHPVG\ OVFMVDLWCJWAIW9GW7FW6EW5DZBC`HBbMBdSAfX9hb9jh8lm7n\ s7pxAqwCqwEqwHqwJqvLqvNqvQqvSqvUruXruZru`rubrtertg\ rtirtkrtiorgmqfkodincglaek`cjZahY_gWYeVWdTUcRSaQQ`\ OOZNMYLKWKIVIGUHESFCREAPC8OB6ND7QF8TH8WJ9YL9`NAcPA\ eRBhTBkVCmXCpZDs_DuZEqZFmZGiZHeZIaZJYZKUZLRZMNZNJZ\ OFZPBZQ7ZR3ZS0WU0UW0SY0QW1PV1OU1NS1MR1LQ2KP2JN2IM2\ HL2FJ30A30030030030140246343446545747969B8BC9DEBFG\ DHHEJJGLKINMJWOLWPNWROcSQcUScWTcXVmZXm_Yma_rcardbr\ fdrgevfdvecvebvdbzdazcczcczbczbczamzcmzcmzcmzcmzcu\ zhuzhzzhzzmzzmzzmzK14I53H93FC2EG2CJ1BN1AQ1EN6HLAKJ\ FOGJREOUCSY9X`7`c5d`6eZ7eW8eU9eRAePBeMCfKDfHEfFFfC\ GfAHf8Hf7Je7Ld7Mc7Ob6Pa6R`6S_6UZ6VY5XX5YW5_V5`U5bT\ 4cS4eR4fQ4hP4iP5jT6kX6l`7md8nh8olApkBqkCqjDrjFriGs\ iHshIthKuhLugMvgNvffQqfQp } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint Digest, Vol 91, Issue 10
by marcusadriana＠mls.com.br 14 Sep '10

14 Sep '10

Can anyone teach me how to make bigger drawings in the new Winfract? The "Dell" control only allows a 800X600 pixels image and I do not know how to show in the screen the disk generated images. Marcus Rezende

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Spooky Brot...
by Roger Alexander 14 Sep '10

14 Sep '10

The difference is in the map! The purple, blue and red remind me of the vampire movies of my youth, and the atmosphere of the sinister supernatural. Even now occasionally the appearance of Count Dracula and his minions on a late night movie will send a chill up my spine. Count Mandelbrot, vampire. Available for instant viewing or download at Blogger's http://maxitersfractalfollies.blogspot.com. fract419.gif { ; fract418.gif remapped ; blank ; calctime 0:40:06.33 ; created Sep 13, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=BESSEL-1 center-mag=+2.06156991064704000/+2.10984844541724700/242566.8/1/-177.500\ 000000138328/-8.71726038575992845e-010 float=y maxiter=7200 inside=0 logmap=173 colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:BESSEL-1 { c = z = pixel: z = sin(z) / z * pixel |z| <= 100 ;SOURCE: bessels.frm } Roger Alexander

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Re: [Fractint] Fractint Digest, Vol 91, Issue 10
by JackOfTradeZ＠comcast.net 13 Sep '10

13 Sep '10

. Roger say: "Idle curiousity- how long was the calculation time for the animation (not including set up time)?" Setup took time - I ended up varying 4 parameters simultaneously, much experimenting done. Render of 1000 frames took only a few hours on my screamin' demon Alienware Area51 system. And how do you get your fractals to have all those colored tube-worm things? .

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A Differently Plotted Mandelbrot
by Roger Alexander 12 Sep '10

12 Sep '10

This is the anniversary of 9/11, I will be brief. A classical mandelbrot rendered with the Carlson stalk plotting algorithm and outside=summ.Ready made at http://maxitersfractalfollies.blogspot.com. fract380.gif { ; carlson mandelbrot ; blank ; calctime 0:02:35.28 ; created Sep 11, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=Mandel_Rings center-mag=-0.349298/-0.0653489/0.7966487/1/-30.0000000000036948/-3.3535\ 3828040396706e-011 params=0.08/0/2/128 float=y maxiter=1500 inside=0 outside=summ colors=00A00Azbezbeyadyady`cy`bx_bxZaxZaxY`wY_wX_wXZwWZvWYvVXvUXvUWuTWuT\ VuSUuSUtRTtRTtQStPRsPRsOQsOQsNPrNOrMOrMNrLNqKMqKLqJLqJKpIKpIJpHIpHIoGHoF\ HoFGoEFnEFnDEnDEnCDmCCmBCmABmABl9Al99l89l88k78k77k66k56j55j45j44j33i33i2\ 2i22i11h00h00g00g00f00e00e00d00c00c00b00b00a00`00`00_00Z00Z00Y00X00X00W0\ 0W00V00U00U00T00S00S00R00Q00Q00P00P00O00N00N00M00L00L00K00J00J00I00I00H0\ 0G00G00F00E00E00D00C00C00B00A00mmzmmzllzkkyjjyiixhhxggxffweeweevddvccvbb\ uaau``t__tZZtYYsYYsXXrWWrVVqUUqTTqSSpRRpQQoPPoPPoOOnNNnMMmLLmKKmJJlIIlHH\ kHHkGGjFFjEEjDDiCCiBBhAAh99h99g88g77f66f55f44e33e22d11d00c00c00c00b00b00\ a00a00a00`00`00_00_00Z00Z00Z00Y00Y00X00X00W00W00W00V00V00U00U00U00T00T00\ S00S00R00R00R00Q00Q00P00P00O00O00O00N00N00M00M00L00L00L00K00K00J00J00J00\ I00I00H00H00G00G00G00F00F00E00E00D00D00D00C00C00B00B00A } frm:Mandel_Rings {; Copyright (c) Paul W. Carlson, 1998 z = w = k = iter = range_num = bailout = 0 c = pixel ring_width = real(p1) num_ranges = real(p2) colors_in_range = imag(p2) index_factor = (colors_in_range - 1) / ring_width : w = w * w + c ; dist = abs(|w|-.25) IF (dist < ring_width && iter > 0) bailout = 1 z = index_factor * dist + range_num * colors_in_range + 1 ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: carlson2.frm } Roger Alexander

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Re: [Fractint] AOTD 9/12/10
by Roger Alexander 12 Sep '10

12 Sep '10

A well done animation with appropriate music which had an almost ethereal flavor. Roger Alexander

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Mandelbrot Greenery
by Roger Alexander 12 Sep '10

12 Sep '10

This is a zoom of Sept 11's fractal with a different palette. Here a brot, there a brot, everywhere a minibrot! The coloring aims for a veggie mood. A resampled jpg included at http://maxitersfractalfollies.blogspot.com JackOfTradeZ's Silicon Egg animation was great - the choice of music greatly reinforced the impressive visuals. Idle curiousity- how long was the calculation time for the animation (not including set up time)? fract415.gif { ;mandelbrot greenery ; blank ; calctime 0:25:31.21 ; created Sep 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=Mandel_Rings passes=1 center-mag=-0.26201496836067130/+0.66033092518802450/2635.069/1/-29.9999\ 99999993765/-5.44472106289717317e-012 params=0.02/0/2/128 float=y maxiter=1500 inside=0 outside=summ colors=00m0Kz0p00p00p00o00o00o00n00n00n00m00m00m00l00l00l00k00k00k00j00j\ 00j00i00i00i00h00h00h00g00g00g00f00f00e00e00e00d00d00d00c00c00c00b00b00b\ 00a00a00a00`00`00`00_00_00_00Z00Z00Z00Y00Y00Y00X00X00X00W00W00V00V00V00U\ 00U00U00T00T00T00S00S00S00R00R00R00Q00Q00Q00P00P00P00O00O00O00N00N00N00M\ 00M00M00L00L00K00K00K00J00J00J00I00I00I00H00H00H00G00G00G00F00F00F00E00E\ 00E00D00D00D00C00C00C00B00B00A0ApAApAApAApAApAAoAAoAAoAAoAAoAAnAAnAAnAAn\ AAnAAmAAmAAmAAmAAlAAlAAlAAlAAlAAkAAkAAkAAkAAkAAjAAjA9j99j99j99i99i99i99i\ 99h99h99h99h99h99g99g99g99g99g99f99f99f99f99f99e99e99e99e99d99d99d99d98d\ 88c88c88c88c88c88b88b88b88b88b88a88a88a88a88`88`88`88`88`88_88_88_88_88_\ 88Z88Z88Z88Z87Y70Y00Y00X00X00W00V00V00U00T00T00S00R00R00Q00P00P00O00N00N\ 00M00L00L00K00J00J00I00H00H00G00F00F00E00D00D00C00B00A0 } frm:Mandel_Rings {; Copyright (c) Paul W. Carlson, 1998 z = w = k = iter = range_num = bailout = 0 c = pixel ring_width = real(p1) num_ranges = real(p2) colors_in_range = imag(p2) index_factor = (colors_in_range - 1) / ring_width : w = w * w + c ; dist = abs(|w|-.25) IF (dist < ring_width && iter > 0) bailout = 1 z = index_factor * dist + range_num * colors_in_range + 1 ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: carlson2.frm } Roger Alexander

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Re: [Fractint] AOTD 9/12/10
by JackOfTradeZ＠comcast.net 12 Sep '10

12 Sep '10

. Animation of the Silicon Egg: http://www.fractal-animation.net/vid/celestialkiss2.zip no comments on the last couple? hope you like this one then. short but cute. .

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FOTD 12-09-10 (Mandelbrot Minibrot [7])
by Jim Muth 12 Sep '10

12 Sep '10

FOTD -- September 12, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD is 24 hours late -- no problem -- I'll get caught up eventually, but the FOTD will remain a day late until I do. The lateness is due to an antiquing expedition on Saturday that got totally out of control, and a lack of fractal luck on my part. When nothing better turned up, I fell back on the old-faithful fractal workhorse, the Mandelbrot set, where I checked the north- west shore line of the main bay. I found today's minibrot in the Seahorse Valley of a larger minibrot. It's a rather humdrum image that I could rate no higher than a 7, but the calculation time is a fireball fast 7 seconds, so no time will have been wasted if the result is disappointing. The name "Mandelbrot Minibrot" says it all. Those who do not relish calculating fractals may avoid the task by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy clouds and continuing drizzle made Sunday a day to be forgotten here at Fractal Central. The temperature of 64F 18C simply added to the unpleasantness. The fractal cats went into curl-up mode due to the chill, but it's still technically summer, so it's far too early to think of turning on the heat for them. The next FOTD will be posted in 24 hours, maybe sooner. Until then, take care, and before an answer can be determined, the question must be known. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MandelbrotMinibrot { ; time=0:00:07.41-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.3910257193778\ 118/+0.6461587387215368/6.5e+012/1/-175.5/0 params=0/0 float=y maxiter=20000 inside=0 logmap=-2700 mathtolerance=0.05/1 colors=000000UmeXofZqg`shcuiewjgykizlerdakYZcQVXJS\ QCUWGV`JWeNYjQZoU_qXVsQQoKLkDGg7Kc9NUARKCUADXKE`UG\ ccHgjJjmKmoLqqNtsOwtPzqXzmdzmlzmszmpvfmlWjeMg`FdQA\ aSAZTAWUATWAQXANY9K_6H`3Ea1Ba5Fa8JaCNaFRaJVaMZaQba\ TfaXja_nacrafumzzmzzcszYpUcm5bn4bn4bo4bo4bp4bp3bq3\ bq3bq3br3br2bs2bs2bt2bt2bt2`q4_n5Yk6Xi8Vf9UcAU`CcZ\ DmWEmTGmQHmOImLKmILmFMmDNmKUmQ`mWgmanm`lm_kzZjzYiz\ XgzWfzVezUdzTbzSazR`zQ_zQZzSYzUXzVWzXVzYUzzTzzSzzS\ zzRzzQzzPzzOzzNzzMzzMzzKzzIzzHzzIzzJzzJPzKUzK_zLez\ MjzMpzNuzNrzQozTmzWjzZhzagz_ezYdzWczTazR`zP_zNYzLX\ zIWzGUzETzCSzAUzCVzEXzGYzH_zJ`zLbzMczOezQfzRhzTizV\ jzWizThzRgzPfzNezLdzIczGbzEazC`zA`z8czJfzTizclzmnz\ wiztdzq`zoWzlRziNzgIzdDza9z_4zX0zV9zUIzTRzS_zRhzQq\ zPzzOtzSnzVhzYbz`XzdRzgLzjFzmIzgKzaNzWPzQSzKUzFWzG\ XzGZzH_zHazIbzIZzlazjczhKzWKzWKzXKzXKzXKzXKzXKzXKz\ XKzYKzZKz_Kz`LzaNzbQzcSzd } END PARAMETER FILE=========================================

1 0

Deep107
by Mike Frazier 11 Sep '10

11 Sep '10

I have added deep zooming to Fracton. As a part of the testing, I looked at the area along the negative x axis to see if I could zoom in and find a deep minibrot there. At low magnifications, the minibrots are located at points where some oval shapes intersect the x axis. Zooming in on those contained a minibrot so I tried doing the same thing in the area near (-2.0, 0.0). Not knowing what I would find or how deep it would be, I zoomed in for an hour or so recentering the image to keep the oval shape intersecting the x axis. I eventually found a minibrot at a magnification of about 8E107. There is a much deeper minibrot from the same general area on the FractInt Deep Zooming webpage. Can you guess how the two images differ? Here is a link to a page with an image and the answer: http://www.fracton.org/fmlposts/20100910_deep107.html The par file for the image is: Deep107 { ; Exported from Fracton. ; time= 1 min 20 sec at 640 x 480 with no aa ; on a Mac Pro 2 x 2.8 GHz Quad-Core Xeon reset=2004 type=mandel passes=1 float=y center-mag=-0.199999999999999999999999999999999999\ 99999999999999998999156258683385300770447192487625\ 02981882543155705650500961365788066678e1/0.0/8.023\ 793735620347e+107/0.9999999992460491/0/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=2000 inside=0 logmap=646 proximity=0 colors=200400600800A00C00E00G00I00K00M00O00Q00S00U\ 00W00Y00_00a00c00e00g00i00k00m00o00q00s00u00w00y00\ z00y00w00u00s00q00o00m00k00i00g00e00c00a00_00Y00W0\ 0U00S00Q00O00M00K00I00G00E00C00A008006004002000001\ 11333555777888AAACCCEEEFFFHHHJJJLLLNNNOOOQQQSSSUUU\ VVVXXXZZZ```bbbccceeegggiiijjjlllnnnppprrrsssrrrpp\ pnnnlllkkkiiigggeeedddbbb```ZZZYYYWWWUUUSSSRRRPPPN\ NNLLLKKKIIIGGGEEEDDDBBB999777666444222000012034046\ 06807A09C0AE0CG0DI0FK0GM0IO0JQ0LS0MU0OW0PY0R_0Sa0U\ c0Ve0Xg0Yi0_k0`m0bo0cq0es0fu0hw0jy0kz0jy0hw0gu0es0\ dq0bo0am0_k0Zi0Xg0We0Uc0Ta0R_0QY0OW0NU0LS0KQ0IO0HM\ 0FK0EI0CG0BE09C08A068056034022000211432653874A85CA\ 6EC7GE8IF9KHAMJBOLCQNDSOEUQFWSGYUH_VIaXJcZKe`LgbMi\ cNkeOmgPoiQqjRslSunTwpUyrWzsXyrWwpVunUslTqkSoiRmgQ\ kePidOgbNe`McZLaYK_WJYUIWSHURGSPFQNEOLDMKCKIBIGAGE\ 9ED8CB7A96875664443222000 } -- Mike Frazier www.fracton.org

2 2

A Silicon Egg
by Roger Alexander 10 Sep '10

10 Sep '10

A recursive object - shell structures inside of shell structures like a Russian doll ( Wikipedia calls them matryoshka dolls). Another pseudo 3d graphic from Fractint, a 2d program. I cannot help but acknowledge the ingenuity of Fractint's programmers and formula writers. Ready made at http://maxitersfractalfollies.blogspot.com with the Sept. 6 gif as an anti-aliased jpg. fract409.gif { ; layers ; blank ; calctime 0:00:28.89 ; created Sep 10, 2010 ; Fractint Version 2004 Patchlevel 9 reset=1960 type=formula formulafile=_c.frm formulaname=cdp_jul_mand center-mag=0.0683146/-0.00966608/0.6865382/1/50.0000000000000142/-2.5056\ 3458870090017e-014 params=1.358012634662923/0.352876064333018/-0.3213515427051337/0.7808234\ 629205598/4/64 float=y maxiter=1200 inside=0 outside=summ colors=000z88z88y88y88x88w88w88v88u77u77t77t77s77r77r77q77p66p66o66o66n6\ 6m66m66l66k55k55j55j55i55h55h55g55f44f44e44d44d44c44c44b33a33a33`33_33_3\ 3Z33Z33Y22X22X22W22V22V22U22U22T11S11S11R11Q11Q11P11O00yx0yx0yw0xv0xv0wu\ 0wt0ws0vs0vr0vq0uq0up0to0tn0tn0sm0sl0sl0rk0rj0qi0qi0qh0pg0pg0pf0oe0od0nd\ 0nc0nb0mb0ma0l`0l_0l_0kZ0kY0kY0jX0jW0iV0iV0iU0hT0hT0hS0gR0gQ0fQ0fP0fO0eO\ 0eN0eM0dL0dL0cK0cJ0cJ0bI0bH0aG00tO0tO0sO0rO0rN0qN0pN0oM0oM0nM0mL0mL0lL0k\ K0jK0jK0iJ0hJ0hJ0gI0fI0eI0eI0dH0cH0cH0bG0aG0`G0`F0_F0ZF0ZE0YE0XE0WD0WD0V\ D0UC0UC0TC0SB0RB0RB0QB0PA0PA0OA0N90M90M90L80K80K80J70I70H70H60G60F60F50E\ 50D50C4DpzDozDnyDlxDkwDivDhuCftCesCdrCbqCapC_oBZnBXmBWlBVkBTjBSiAQhAPgAN\ fAMeALdAJc9Ib9Ga9F`9D_9CZ9BY89X88W86V85U83T82S70R60Q60P60O60O50N50M50L50\ K50K40J40I40H40G30F30F30E30D20C20B20A20A109108107106005 } frm:Cdp_Jul_Mand {; Copyright (c) Paul W. Carlson, 1998 ; real(p1) = 0 if Mset, otherwise Julia set ; imag(p1) = maximum value of ratio (try 0.01 to 0.3) ; p2 = Julia set coordinates (not used if Mset) ; real(p3) = number of color ranges ; imag(p3) = number of colors in a range ; z = iter = range_num = bailout = 0 IF (real(p1) == 0) prev_w = 0 c = pixel ELSE prev_w = pixel c = p2 ENDIF max_r = imag(p1) num_ranges = real(p3) colors_in_range = imag(p3) index_factor = (colors_in_range - 1) / max_r : w = prev_w * prev_w + c ; r = |prev_w| / |w| prev_w = w IF (r < max_r && iter > 0) bailout = 1 z = index_factor * r + range_num * colors_in_range + 1 ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 4 ;SOURCE: 98msg.frm } Roger Alexander

1 0

FOTD 11-09-10 (Deep in the Shadows [6])
by Jim Muth 10 Sep '10

10 Sep '10

FOTD -- September 11, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's unusually somber FOTD lies in a valley of the shapeless parent fractal that results when the expression Z^(1.8)+C is iterated 21 steps up the complex logarithmic hyperladder. The banded effect was achieved by rendering the scene with the outside set to 'tdis'. The name "Deep in the Shadows" refers to the shadowy effect of the entire image. The calculation time of 4-1/4 minutes is a bit slow, so I suggest visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image there. Clouds and a pleasantly cool temperature of 70F 21C prevailed here at Fractal Central on Friday. The fractal cats slept through most of it. My day was uneventful; FL was a bit agitated about current events, but I did not get involved. The next FOTD will be posted in 24 hours. Until then, take care, and keep up with the foolishness. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Deep_in_theShadows { ; time=0:04:15.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.1472820697533/+0.181840866071/5.5050\ 14e+008/1/-75/0 params=1.8/0/21/0 float=y logmap=45 maxiter=3200 inside=255 outside=tdis periodicity=6 colors=00090FA1KB3OC5TD7YE9`FBcGDfIFiKGlMHoSInYGnc\ EnhCnWAzs8zdBziEzD5ID6JE6JE6KE6KE7KF7LF7LF7MF8MF8M\ G8NG8NG9OG9OH9OH9PHAPHAQHAQIAQIARIBRIBSJBSJBSJCTJC\ TKCUKCUKDUKDVKDVLDWLEWLEWLEXMEXMFYMFYMFYMFZNGZNG_N\ G_NG_OH`OH`OHaOHaNG`OHaPHaPHaQHaQHaRHaSHaSHaTHaTHb\ UHbUHbVHbWHbWHbXHbXIbYIbYIcZIc_Ic_Ic`Ic`IcaIcbIcbI\ ccIdcIddIddIdeIdfJdfJdgJdgJdhJehJeiJejJejJekJekJel\ JemJemJfnJfnJfoKfoKfpKfqKfqKfrKfrKgsKgsKgtKguKguKg\ vKgvKgwKgwKgvLfvLevLduLcuLbuLatL`tL_tLZsLYsLXsLXsL\ WrLVrLUrLTqLSqLRqLQpLPpLOpLNoLMoLMoLLoLKnLJnLInLHm\ LGmLFmLElLDlLClLBlLBmMCmMDmNDmNEmNFnOFnOGnOGnPHnPI\ nPIoQJoQJoRKoRLoRLpSMpSMpSNpTOpTOpTPqUPqUQqVRqVRqV\ SrWSrWTrWUrXUrXVrXVpWXnWZlW`jWbhVdfVfdVhbVjaVkbUjb\ UjbUjcUjcUicTidTidTidTheTheSheShfSgfSgfSggSggRfgRf\ hRfhRfhRfiQeiQeiQejQejQdjPdkPdkPdkPckPclPclOclObmO\ bmObmObnNanNanNaoNaoNamsz } 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] FRACTON
by JackOfTradeZ＠comcast.net 10 Sep '10

10 Sep '10

. If you don't use arbitrary (or some similar extended type) precision math you won't be able to zoom in much deeper than about E+13. That will be a serious limitation (for some people, like me). Anyway, when you get this thing done I may actually have a reason to get a MAC! (haven't touched one in 15 years, I assume they are better now) .

2 1

Lotsa Converging Arms!
by Roger Alexander 09 Sep '10

09 Sep '10

This fractal (from Fractint's built in mandphoenixclx formula) has an interesting feature. While arms converging to a point in an enclosed lake are common enough two of the arms (look at the upper right) converge not to a point but to a lobe, and from this lobe two arms extend to a point with other arms . Reminds me of my uncle Ralph who said " 2.718... is the new 3.141...". With my calculation time of about an hour remember a well trained mouse can retrieve the pre-calculated image almost instantly at http://maxitersfractalfollies.blogspot.com fract407.gif { ; slowpoke ; blank ; calctime 1:09:01.38 ; created Sep 09, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2000 type=mandphoenixclx passes=1 center-mag=-0.30527624339808810/+0.32267014341590660/476.1905 params=0.6884670552690206/-0.06772057252723777/-0.4948118533890805/0.794\ 3052461317789/0 float=y maxiter=9800 logmap=16 cyclerange=0/255 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } Roger Alexander

1 0

FOTD 10-09-10 (Flowers in the Field [7])
by Jim Muth 09 Sep '10

09 Sep '10

FOTD -- September 10, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the East Valley of a near-Mandelbrot set that takes on quintic characteristics in its depths. I named the image "Flowers in the Field" because of the colorful flowers scattered about the scene. Actually, the flowers are a mixture of minibrot basins and anti- minibrot hills, and it's hard to tell from the colors alone which is which. There is no doubt however about the large blossom near the center, which is a minibrot without doubt. A little quintic minibrot is clearly visible at its center. After not too much consideration, I rated the image at a 7. It has some mathematical interest and also some artistic value. Puting these assets together results in the total rating of 7. The calculation time of just over 3 minutes will pass in a flash once the colors at the top of the frame appear. The virtual trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> to view the image without the task of calculation will be even faster for those with a broad-band connection. Those with dial- up may wait an extra minute or two. Lots of clouds and a temperature of 70F 21C made Thursday a routine day that will soon be forgotten here at Fractal Central. The fractal cats forgot the day before the sun went down. They were more interested in food. For me the day was equally forgettable. It came and went with not a single memorable thing taking place. The next FOTD will be posted in 24 hours. Who knows what weird new fractal stuff I might turn up before then. Until the next time, take care, and when will one of the cameras that are everywhere catch a convin- cing picture of one of those alien space ships, which are also supposed to be everywhere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FlowersInTheField { ; time=0:03:09.37-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3285156354474282/+0.038834567583711/\ 1.00143e+010/1/32.5/0 params=5/-2000000/0/0 float=y maxiter=7500 inside=0 logmap=180 periodicity=6 colors=000a_NaZM_XPYVRWTTURVTPXRNZPL`NJbMHdKFfIDhG\ BjE9lD7nB5p93r71t60vC3pH5jM7eR9_WCV`EPeGKjIEoK9pMD\ pOHqQLqSPrUTrWXsY`s_dtahtcluepugtuixrluoorlroitljr\ gjqckp_koWlnSlmOijNghNefMcdM`aMZ_LXYLVWLSTKQRKOPKM\ NJKLJHIIFGIDEIBCH89H67H45G23G01G23H34H55H66H87I98I\ B9ICBIECJFDJHEJIFJKGKLHKNJKOKKQLLRMLTNLUOLVPLXQKYR\ JZSI_TI`THaUGbVGcWFdWEeXEfYDgZCh_Ci_Bj`AkaAlb9mb8n\ c8od7pe6qe6pc7pa8o`8oZ9nX9nWAmUAmSBlRClPCkNDkMDjKE\ jIEiHFiFGhDGhCHgAHg8If7If5Jf4JiCNlJRoRVqYZtebwlfys\ iuphqngmlfijeehdafcYdbUbaQ``MZ_IXZEVYKTXKRWKTXKVYK\ XZKZ_K_`KaaEcbFecGgeHhgKeiMckP`mRZoKWqKUsKSuKPwKNx\ KKyKIzKGzKHzKHzKHzKHzKHzKHzKHzKHzcHzcHzcHzcHzcHzcH\ zcHzcHzcIzcJzcKzcLzcMzcNzcOzcPzmQzmRzmSzmTzmUzmVzm\ WzmXzmYzmZzm_zm`zmazmbzmczmczrczrczrczrczrczrczrcz\ rczrczrczrczrczrczrczrczrczzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } 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] FOTD and two fractals
by Roger Alexander 08 Sep '10

08 Sep '10

Hi Roger, This parset you posted on 13-Apr-2010 references formula EpsilonCross, but includes formula EpsilonCrossJ. Are the names for both correct, but the wrong formula was included in the post, or is one of the names incorrect? Thanks! -- Hi Richard, I went to my blog and downloaded the gif and recreated it in Fractint. Fractint displayed "EpsilonCross" when doing the formula search but the formula screen ( press the "Z" key) and the <Tab> key display shows EpsilonCrossJ being generated. I've made a new par for the fractal and renamed the formula. EpsilonApril { ; EpsionCrossJ par file redone ; formula renamed ; calctime 0:00:15.28 ; created Sep 07, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_e.frm formulaname=EpsilonNew center-mag=-4.16309/2.95687/0.1727188 params=-1.069399090548418/-0.1399884029663991/-2.359965819269387/-0.3061\ 922055726798 float=y maxiter=1500 inside=0 outside=atan invert=0.593218787194433/-0.360972930082095/0.0413830988494522 colors=000EazE`zD`zD`zC`zC_zB_zB_zA_zAZz9Zz9Zz8Yz7Yz7Yz6Yz6Xz5Xz5Xz4Wz4W\ z3Wz3Wz2Vz2Vz1Vz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uy0Uy0Uy1Uy2Vy2Vy3Vy4Wy4Wy5Wy6Xy6Xy7Xy8Yy9Yy9ZyAZyBZyB_yC_yD_yD`\ yE`yF`yFayGayHbyIbyIbyJcyKcyKcyLdyMdyMdyNeyOeyOfyPfyQfyRgyRgySgyThyThyUh\ yViyViyWjyXjyXjyYkyZky_ky_ly`lyalyamybmycnycnydnyeoyeoyfoygpyhpyhpyiqyjq\ yjrykrylrylsymsynsyntyotyptyquyquyrvysvysvytwyuwyuwyvxywxywxyxyyyyyzzzzz\ zyzzyzzxyzxyzwyzwyzvxzvxzuxzuwztwztwzswzrvzrvzqvzquzpuzpuzouzotzntzntzmt\ zmszlszlszkrzjrzjrzirziqzhqzhqzgpzgpzfpzfpzeozeozdozdnzcnzbnzbnzamzamz`m\ z`mz_lz_lzZlzZkzYkzYkzXkzXjzWjzVjzVizUizUizTizThzShzShzRgzRgzQgzQgzPfzPf\ zOfzNfzNezMezMezLdzLdzKdzKdzJczJczIczIbzHbzHbzGbzFazFaz } frm:EpsilonNew {; Julia version - Jon Horner ;EpsilonCrossJ renamed ; try p1 = (0.1,0.1), p2 = 0.05 z = pixel, c = p1 : z = z * z + p1 |z| <= 4 && abs(real(z)) > p2 && abs(imag(z)) > p2 ;SOURCE: epscr.frm }

3 3

Metallic Cutouts
by Roger Alexander 08 Sep '10

08 Sep '10

It looks like a piece of sheet metal stamped and shaped with cutouts... but that's only an optical illusion. Like a cyber vending machine http://maxitersfractalfollies.blogspot.com will dispense this and other amusements instantly for the price of a few electrons. fract408.gif { ; metallic cutout ; blank ; calctime 0:03:09.38 ; created Sep 07, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=mandel-newton_j7c3 function=ceil/log center-mag=-0.673041/-0.135346/5.464481 params=-0.6579485457930234/-0.6041749320963165 float=y maxiter=1500 inside=0 proximity=2 outside=fmod colors=KazFLLFMMGMMGNNHNNHOOIOOIPPJPPJPPKQQKQQLRRLRRMSSMSSNTTNTTOTTOUUPU\ UPVVQVVQWWRWWRXXSXXSXXTYYTYYUZZUZZV__V__W``W``W``XaaXaaYaaYaaYbbYbbZbbZb\ b_cc_cc`dd`ddaddaeebeebffcffcffdggdggehhehhfiifiigiigjjhjjhkkikkikkjlljl\ lkmmkmmlnnlnnmnnmoonoonppoppopppqqpqqqrrqrrrrrrssssssttttttuuuuuuuuvvvvv\ vwwwwwwwwwxxxxxxyyyyyyyyyxxxxxxwwwwwwvvvvvvuvvuuutuutttsttsttrssrssqrrqr\ rprrpqqoqqoppnppnoomoomoolnnlnnlmmkmmkmmjlljllikkikkhkkhjjgjjgiifiifiieh\ hehhdggdggcggcffbffbeeaeeaeeadd`dd`cc_cc_ccZbbZbbYaaYaaXaaX``W``W__V__VZ\ ZUZZUZZTYYTYYSXXSXXRXXRWWQWWQVVQVVPVVPUUOUUOTTNTTNTTMSSMSSLRRLRRKRRKQQJQ\ QJPPIPPIPPHOOHOOGNNGNNFNNFMMFMMELLELLDLLDKKCKKCJJBJJBIIAIIAII9HH9HH8GG8G\ G7GG7FF6FF6EE5EE5EE4DD4DD3CC3CC3CC2BB1BB1AA0AA0AA1BB1BB2CC2CC3DD3DD4DD4E\ E5EE5FF6FF6FF7GG7GG8HH8HH9HH9IIAIIAJJBJJBJJCKKCKKDLLDLL } frm:mandel-newton_j7c3 {; Sylvie Gallet [101324,3444], 1995 z = pixel, c = z, iter = 1 rad = 3.1, center = (1.0,0.1) pix = (10*pixel+(5.0,-3.4))*(-0.1,-0.95) zn = center*rad+(pix-center) limit = real(p1), b1 = 16, b2 = 0.0001 : test1 = (iter&&limit), test2=(iter!=limit) c1=(-0.7056,-0.0086) c=fn1(sin(conj(-0.80256,-0.1095))) z = (z-zn)*test2 + zn z2 = z*z, z4 = z2*z2, z1 = (z4*z-1)/(4*z4) z = fn2(z2)+(c*test1) + (z-z1)*(1-test1) iter = iter+1 ((|z| <= b1) * test1) || ((|z1| >= b2) * (1-test1)) ;SOURCE: sg-bc-bj.frm } Roger Alexander

1 0

FOTD 08-09-10 (No Warpage Here [8])
by Jim Muth 07 Sep '10

07 Sep '10

FOTD -- September 08, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene in the Seahorse Valley area of the HyperMandelbrot set. The Hypermandelbrot set consists of two overlapping classic M-sets, which coincide perfectly as long as all parameters are set to zero. When the parameters are changed however, the sets become offset and begin covering each other. When different parts of the two sets occupy the same coordi- nates, the part with the lesser iteration count always prevails. This gives some interesting effects, as today's image shows. With the imag(p4) parameter in the formula set to 0.00000001, the two sets are offset to only a slight degree, but the image magnitude of over 10,000,000 is so great that the slight offset has a large effect. The two overlapping minibrots, which are actually the same minibrot appearing twice, have obscured large parts of themselves. The surrounding patterns also suffer with this identity mix-up, but everywhere, the parts with the least iteration count always prevail. I named the image "No Warpage Here". When I first saw the image, it appeared skewed, but when I checked, I found it to be perfectly straight. The name reflects the discovery. The rating of an 8 is well above the average 5 or 6. The calculation time of 6-1/2 minutes is a bit on the dragging side. For relief I suggest viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Warm weather staged a comeback here at Fractal Central on Tues- day, as the temperature reached a high of 90F 32C. When it got a little too warm for the fractal cats' comfort, they staged a return to the cool tile of the kitchen floor. My day was as close to normal as is possible, but FL is starting to worry about the effect the lack of rain is having on her gardens. The next FOTD will be posted in 24 hours. Until then, take care, and as one zombie said to the other, "look alive!" Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= No_Warpage_Here { ; time=0:06:28.69-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.7426122288127712/+0.163791441788755/\ 1.184834e+007/1/-80/0 params=0/0/0/0/0/0/0/1e-008 maxiter=6400 inside=0 logmap=-1090 periodicity=0 colors=0000000zw0yw0xw0wy0vx0uw0tv0su0rt0qs0pr0oq0\ np0mo0ln0km0jl0ik0hj0gi0fh1eg2df3ce4bd4ac4`a4_`4ZZ\ 5YY5WW5TV5RT5PS6NQ6KP6IN6HM6FL9GNCHOEJQHKRJMSMPUOT\ VRWXTZYW`ZYc``eacgcfhdiielgcofare`wdZzcXzbWzaUw`Sw\ _RvZPuYOtWPsUPrSPqQPpOPoMPnKPmIPhGPcEPcCPcAQcAQgCQ\ hEQiGQjIQkKRlMRlORmQRnSRnURmWVlYYlZ`m_dm_gm`im`kma\ nlapkbrjbtjcwicyhdzhdzbhzXkzRnzLqzFtzMkzSczYVHcNMi\ FQhHVgJZfMceOhdRlcTqbVucWscWrcXqcXpcYncYmcZlcZkd_i\ d_hd`gd`fdaddacdbbdbaec_edYfeUgeSgfQhfOhgMigKihIjh\ GjiERCoN3rO9pOFnPLlPRjPWhQafQgdRmbRs`vQKRxZWoT`gNe\ _IjSCoK6tC1qD4nD7kDAhDCeDFbDI_DLiWdcRdZMdTHdODdUUX\ _jPdzIeyGexEfxDfwBgvAgv8hu7ht5it4is2is1jp4jn6kk8ki\ AlfCldElaHm_JmXLnVNnSPnQRgXY`ccUiiXfg_debhcemahr_k\ vYnzWqzUtzSwzRezVOzZNz`NzbMzdMzfLzhLzjLzlPzkUzkZzj\ czjhzjmzfrzbvzZzzVzzRzzNzzJzzFzzBzz7zz4zz7zzCzzDzz\ DzzDzzDzzDzzDzzEzzEzzEzzE } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

FOTD and two fractals
by Roger Alexander 07 Sep '10

07 Sep '10

Had a bit of trouble with the FOTD 09-04-10 Common-Sense_Cubic. Fractint said it couldn't read the coloring information so I used the classic Fractint "blues" map (which comes with the distribution zip) and it looks great. In other news I may have solved the gif to png conversion problem. I used the brute force method of setting up a Flickr account. Hope it works. Oooo look at that fractal its so bright and shiny. To see this fractal go to my blog at http://maxitersfractalfollies.blogspot.com fract014.gif { ; ooooo....shiny ; blank ; calctime 0:00:49.43 ; created Apr 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_e.frm formulaname=EpsilonCross center-mag=-4.16309/2.95687/0.1727188 params=-1.069399090548418/-0.1399884029663991/-2.359965819269387/-0.3061\ 922055726798 float=y maxiter=1500 inside=0 outside=atan invert=0.593218787194433/-0.360972930082095/0.0413830988494522 colors=000EazE`zD`zD`zC`zC_zB_zB_zA_zAZz9Zz9Zz8Yz7Yz7Yz6Yz6Xz5Xz5Xz4Wz4W\ z3Wz3Wz2Vz2Vz1Vz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uy0Uy0Uy1Uy2Vy2Vy3Vy4Wy4Wy5Wy6Xy6Xy7Xy8Yy9Yy9ZyAZyBZyB_yC_yD_yD`\ yE`yF`yFayGayHbyIbyIbyJcyKcyKcyLdyMdyMdyNeyOeyOfyPfyQfyRgyRgySgyThyThyUh\ yViyViyWjyXjyXjyYkyZky_ky_ly`lyalyamybmycnycnydnyeoyeoyfoygpyhpyhpyiqyjq\ yjrykrylrylsymsynsyntyotyptyquyquyrvysvysvytwyuwyuwyvxywxywxyxyyyyyzzzzz\ zyzzyzzxyzxyzwyzwyzvxzvxzuxzuwztwztwzswzrvzrvzqvzquzpuzpuzouzotzntzntzmt\ zmszlszlszkrzjrzjrzirziqzhqzhqzgpzgpzfpzfpzeozeozdozdnzcnzbnzbnzamzamz`m\ z`mz_lz_lzZlzZkzYkzYkzXkzXjzWjzVjzVizUizUizTizThzShzShzRgzRgzQgzQgzPfzPf\ zOfzNfzNezMezMezLdzLdzKdzKdzJczJczIczIbzHbzHbzGbzFazFaz } frm:EpsilonCrossJ {; Julia version - Jon Horner ; try p1 = (0.1,0.1), p2 = 0.05 z = pixel, c = p1 : z = z * z + p1 |z| <= 4 && abs(real(z)) > p2 && abs(imag(z)) > p2 ;SOURCE: epscr.frm } Run, run for your lives,its a space alien minibrot with a giant brain that will control us with its thought waves!!! Or maybe not. fract015.gif { ; mister big head minibrot ; blank ; calctime 0:03:34.27 ; created Apr 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=man-newt-man center-mag=-0.861076/0.00133118/5.3819 params=0/0 float=y maxiter=1500 inside=0 colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\ W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\ r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\ zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\ zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\ zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\ z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\ z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\ z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\ e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\ I00H00G00F00E00D00C00B00A009008007006005004003002000000 } frm:man-newt-man {; Sylvie Gallet [101324,3444], 1995 +R.B. ; tiny mod on original Mandel-Newton by Sylvie ; tweaked brainlessly by Robin Bussell ; to give a hybrid mandel-newton fractal z = pixel, c = z, iter = 1, test1 = 1 rad = 3.1, center = (1.0,0.1) pix = (10*pixel+(5.0,-3.4))*(-0.1,-0.95) zn = center+rad/(pix-center) limit = real(p1), b1 = 16, b2 = 0.0001 : test1 = (1-test1), test2=(iter!=limit) z = (z-zn)*test2 + zn z2 = z*z, z4 = z2*z2, z1 = (z4*z-1)/(4*z4) z = (z2+c)*test1 + (z-z1)*(1-test1) iter = iter+1 ((|z| <= b1) * test1) || ((|z1| >= b2) * (1-test1)) ;SOURCE: forummsg.frm } _________________________________________________________________ Hotmail & Messenger. Get them on your phone now. http://go.microsoft.com/?linkid=9724463

4 3

My Friend the Minibrot
by Roger Alexander 06 Sep '10

06 Sep '10

Another day, another minibrot. Minibrots according to my thesaurus are not merely commonplace they are ubiquitous. Ubiquitous I tell you ubiquitous. For instant verification of this statement go to http://maxitersfractalfollies.blogspot.com. fract405.gif { ; a minibrot ; blank ; calctime 0:10:25.00 ; created Sep 06, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_n.frm formulaname=Nova5M center-mag=-1.05787234042553200/+0.53964941569282050/266.6667 params=0/0/1e-006/0 float=y maxiter=1200 inside=0 proximity=2 outside=fmod periodicity=0 colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:Nova5M {; Mandelbrot-like set for Nova5. ; 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. ; Novena has two mandelbrot sets that are ; slightly different.} z=1 c=pixel: z2=z*z z4=z2*z2 z5=z4*z func=z5-1 der=5*z4 oz=z z=z-(func/der)+c |oz-z|>p2 ;SOURCE: nova.frm } Roger Alexander

1 0

FOTD 07-09-10 (Seahorse in Distress [7])
by Jim Muth 06 Sep '10

06 Sep '10

FOTD -- September 07, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's diversion takes us to a very familiar place -- Seahorse Valley of the Mandelbrot set. But today we see it in a new light. The view is oriented halfway between the Oblate and Rectangular directions, and also rotated one degree from the normal. At this strange angle only part of the M-set can be seen, stretched over 50 times in the horizontal direction. In today's image I unstretched the Mandelbrot part far enough to leave it only about 16 times its natural width. The remnants of the Mandelbrot aspect of Seahorse Valley are found near the center of the frame, colored baby pink, much as a newly-born seahorse might be. The rest of the pink stuff is the distorted M-set, with the western part of the main bay on the right and the eastern part of the large period-2 bud on the left. The foreground stuff is lesser-iteration stuff, which I inaccurately call Julia stuff, since it is found in all planes, including the Mandelbrot. The rating of a 7 seems about right. I put some extra effort into the coloring, though not as much as the image could use. The name "Seahorse in Distress" refers to the pink Mandelbrot part of the image, which, even after some unsquashing, still looks quite flattened. The calculation time of 1-3/4 minutes is fast by any standards. The finished image is posted on the FOTD web site at: <http://www.Nahee.com/FOTD/> I was a bit relieved when FL arrived back from Havre de Grace safe and unharmed just before noon on Monday, though I had to listen to a half-hour of tales of the big 2-day wedding festival. The Monday weather conditions here at FC were near perfect, with lots of sun, a temperature of 81F 27C and low humidity. The fractal cats must have been worried about FL's absence. When they heard her car pull into the driveway, they leaped up and ran to the door to meet her. The next FOTD will be posted in 24 hours. Until then, take care, and listen to the music of the spheres. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SeahorseInDistress { ; time=0:01:42.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 float=y center-mag=0/0.002/2.9/0.3805/90/0 params=22/89/0/\ 89/-0.75/0/0/0/2/0 maxiter=5000 inside=0 logmap=yes symmetry=none periodicity=6 colors=000AVfAUeAQdAQcAQbAQaBP`CO_DNZEMYGLXIKWKJUM\ ISOGQQGMSEIXCDZA9a75c41e52f62g73h83i93k94lA4mB4nC5\ oD5qD6rE6sF6tG7uH7vH7wK8wN8wQ8wT8wW8xZ8xa8xd8xg8xj\ 8wiCviFuiJthMshQrhTqgXqg_pgboffnfimfmlepketjewjezk\ fwkgukgrkhpkhmkikkjhkjfkkckkalh_mfYodWqaUr_TtXRvTP\ wUPwVPxWPwXQvYSuZUsZWpZYmZ_jZagZce_ec`gaai__kcZzcb\ mcXzc`mcVzcZmcUzcZmcUzcZmcUzcZmcUzcZmcUzcZmcUzeZmg\ UziZmkUzmZmmUzmZmmUzmZmmUzmZmmUzmZmmUzmZmmUzmZmmUz\ mZmmUzmZmmUzmZmmUzmZmmUzmZmmUzmZmmUzmZmrKzqUmrKzrU\ mrKzrZmuKzuZmuKzuZmwKzwZmwKzwUmzPzzUmzPzzcmzPzzcmz\ PzzcmzPzzcmzPzzcmzPzzcmzPzzcmzPzzcmzZmzcmzZmzcmzZm\ zcmzZmzcmzZmzcmzZmzcmzZmzcmz_nzenzezzezzezzezzezze\ zzezzezzezzezzezzezzezzezzezzezzhzzhzzhzzhzzhzzhzz\ hzzhzzhzzhzzhzzhzzhzzhzzhzzhzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 06-09-10 (Sign of Shame [No Rating])
by Jim Muth 06 Sep '10

06 Sep '10

FOTD -- September 06, 2010 (No Rating) Fractal visionaries and enthusiasts: FL decided to stay a second day in Havre de Grace on Sunday, so I spent another day by myself, watching TV and finding fractals. I must have spent too much time by the TV, for today's fractal is not one of the best. I never rate fractals that I put almost no effort into. Since today's image is one of these, I let it go without a rating. The parent fractal was created by calculating Z^(sqrt(3))+C at a level of 3 rungs up the infinite ladder. Today's scene is located, as most interesting images are, in a valley of its parent. The name "Sign of Shame" has little to do with the image. It could be an admission of guilt however. I certainly have been guilty of enjoyable laziness these past two days. The calculation time of only 2-2/3 minutes will pass un-noticed, though I cannot guarantee total satisfaction when the calcula- tion is finished. But near-total satisfaction may always be found on the FOTD web site at: <http://www.Nahee.com/FOTD/> where the image may be viewed without the need for calculation. The preview of autumn continued here at Fractal Central on Sunday. The dark, lumpy clouds were still there, though we had a little more sun, and the temperature stopped at 70F 21C. The fractal cats spent the day waiting for the pigeons to return. With FL still away, my day was very lazy. The next FOTD will be posted in 8 hours if all goes well, if not, then we'll see. Until whenever, take care, and waste no energy wondering about things that cannot be answered. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sign_of_Shame { ; time=0:02:39.93-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.47662603936/+0.46134404205/547748/1/\ -112.5/0 params=1.732051/0/3/0 float=y maxiter=5000 inside=0 logmap=180 symmetry=none periodicity=6 colors=000000HbUjUafSdbQf_OiWMkSKnOIpLGsHEuDCxABzE\ GxHKwLOuOStSWrV`qZdochnhllmpkrtlwumzurzvvzvzzzvwyr\ uxmtvhsscroZqiVodRmWOkMKiIGgDDe79c06a19_2BY2DW3FU3\ HU4KU4MU5OU6QU6ST7VS7XR8ZP8`O9bN9dSAgWBi_BkcCmgCpk\ DroDtsEvwExvGtuIpuJltLisNesOarQZrRVqTRpVOpWKoYGn_D\ n`9mb5mc2ia5f`8b_B_ZEWXHTWKPVNMUQKXOIZMGaKDdIBfG9i\ E7kC5nA3p94mC4jF4gI4dL5aO5ZQ5WT5TW6QZ6Na6Kd6Hf8KdA\ MbCO`EQZGSXIUVKXTMZRO`PPbORdMTfKVhIXkGZmE`oCbqAds8\ fu6gw5ew7dw8bwAawB_wDZwEXwGWwHUwJTwKSwLQwNPwONwQMw\ RKwTJwUHwWGwXFwYGtXGqXHoWHlWIiVIgVJdUJbUK_TKXTLVSL\ SSLQSKPRJORJORINRHNQHMQGLQFLQFKQEKPEJPDJPCIPCHPBHO\ AGOAGO9FO9FOHHROJUVLXaMZhOaoQdvRfvPdvOcvNbvL`vK_vJ\ ZvIYvGWvFVvEUvDTvBRvAQv9Pv8OtAMrCLpEKnGJlIIjJHhLGg\ NFePDcRCaSB_UAYW9WY8U_7T`6RbAQcDPdHNfKMgOLhRKiVIkY\ HlaGmdFnhDpkCqoBrrAsuBrsCqqDqoEpnFplGojHniIngJmeKm\ cLlbMk`NkZOjYPjWQiUQiTLeU } 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=========================================

1 0

Distortion and Deformation
by Roger Alexander 05 Sep '10

05 Sep '10

I call this fractal "Persistence of Iteration". It's melting shape reminded me of Salvador Dali's surreal style painting "Persistence of Memory". It was generated from Fractint`s built in formula fn(z)+fn(pix).The gif itself and a jpg of that painting posted at http://maxitersfractalfollies.blogspot.com. fract402.gif { ; persistence of iteration ; blank ; calctime 0:02:35.33 ; created Sep 04, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=fn(z)+fn(pix) function=cosxx/cosh center-mag=-0.274487/-0.225293/1.517911 params=0.7245704519791253/-0.9054841761528367/0.7160557878353221/0.63917\ 96624652851 float=y maxiter=1200 bailout=66 fillcolor=44 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } Roger Alexander

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Ferns of Frost
by Roger Alexander 04 Sep '10

04 Sep '10

Today's fractal, a product of Fractint's built in lambdafn formula, repeats yesterday's theme of frost. The fern like outline parallels the shape of frost on a windowpane and the cool blue palette suggests the chill. But when it comes to representing the glass what color is transparency? fract400.gif { ; frost ; blank ; calctime 0:01:53.64 ; created Sep 03, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=lambdafn function=sin center-mag=3.5505/22.1953/0.1738452 params=0.8528397473067415/0.8138920255134739 float=y maxiter=1500 inside=0 invert=-1.53138828699606/-1.70699179052095/1.36835840937529 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } Roger Alexander

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FOTD 05-09-10 (Deep in Somewhere [5])
by Jim Muth 04 Sep '10

04 Sep '10

FOTD -- September 05, 2010 (Rating 5) Fractal visionaries and enthusiasts: With FL out of town on Saturday, I had Fractal Central to myself for the whole day. I took advantage of the opportunity by doing nothing, though I did take a quick trip to the Mandelbrot set to find today's FOTD. The image is a scene in the Seahorse Valley of a minibrot on the filament extending from the period-2 bud on the north side of the main bay of the larger minibrot at -1.417 on the main spike of the Mandelbrot set. The seahorse attributes of the location are quite apparent. The rating of a 5 indicates that I could take the image or leave it. Actually, I took it, since it was the only one I found for September 5. The name "Deep in Somewhere" came about when I forgot exactly where in the M-set I had found the scene and had to back-track to pinpoint its position. The calculation time of 33 seconds will pass in a flash. The most enjoyable way to see the image however is to visit the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished version is posted. The image may also be calculated using arbitrary precision math. But this will prolong the calculation time near 500 times to an incredible 4 hours, resulting, after all that effort, in only a barely noticeable increase in quality. Saturday turned breezy and cooler here at Fractal Central, with a sky filled with dark lumpy clouds and only intermittent sun. The temperature of 73F 23C must have been just right for the fractal cats, who were unusually active, chasing each other up and down the long hallway for several hours. With FL away at a wedding, my day was inactive. I had intended to get a lot done, but laziness won out and I spent most of the time watching TV and philosophizing to myself. The next FOTD will be posted in 24 hours. Until then, take care, and if every human mind is a unique self-aware individual- ity, how many different unique individualities would be possible given infinite resources? If there is no limit, then what is the chance of my ever having come into existence in the first place? One divided by infinity is an infinitesimal, which makes the chance of my existence in effect equal to zero. Therefore it is impossible for me to be here writing this. (Something must be wrong somewhere, but I can't figure out what.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_in_Somewhere { ; time=0:00:32.97-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.4171989413140\ 01/+0.0010509562470166/2.819659e+013/1/27.5/0 params=0/0 float=y maxiter=50000 inside=255 logmap=11531 mathtolerance=0.05/1 colors=000ZKA_LA`MAaNAbOAcPAdQAeRAfSAgTAhUAiVAjWAk\ XAlYAnW8nV5mU3lU1kV2jW3iW4eW5bW6_X7WX8TX9QXAMXBJYC\ GYDCYEDYFEXGFWHGVIHUJITKJSLKRMLQNMPONOPONQPMRQLSRK\ TPKUNKWKLYIL_FMaDMcBMe8Nf6Ng4Nh7MiAMiCMiFLjHLjKLjN\ LjPKkSKkUKkXKk_JlaJldJlfImiImlImnImqHnsHnvHnxHnwKo\ wMowOowQpwSpwUpwWqwYqw_qwarwcrvfrvhsvjsvlsvntvptvr\ tvtuvvuvxuvzzzzzNNEKLFIJFGHFEGGCEG9CG7BH59H37H16H2\ 9G3BG4DF4FF5HE6JE7LD7ND8PC9RCATBAVBBXACZAD`9ZaiXs0\ QOGPSLPVQPYVOa_OddOgiOjmVniarehvanzZmy_my`ly`lyaly\ dkyhkymkyrjyvjyzjyziyziyzizzhzzmzzrzzvzzzzzzzzzzzz\ zzzzzzzzzzz_nh`ke`hbae_bbWb_TcXQcUNdRJeOGeLDfIAfF7\ gIAgLDgNGhQJhSLhVOiXRi_UiaXjdZjfajidkkgknjkplhlieh\ fbec_a`YZYVVVSSSPOQMLNKHKHEHEAEB7B83UK0KkAzi9zh9zg\ 9zf8ze8zd8zc8zb7za7z`7z_7zb7ze7zh7z_6zR4mI3c91UfP3\ LC1fJPZFKSCGL9CE68734eqVXfOPWIGLC8A6xeKPmbGXQ8GDw5\ pn4he3`Y2UP2MH1F807BMSeZN } END PARAMETER FILE=========================================

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Cool Blue Fracture
by Roger Alexander 03 Sep '10

03 Sep '10

Today's fractal has a cool blue palette. The outline suggests a cracked ice surface. Fracture,fractal,fragmented. fract399.gif { ; blank ; blank ; calctime 0:04:09.58 ; created Sep 03, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_q.frm formulaname=quadros_rjr_e function=atan/asinh/sinh center-mag=+0.00846057571964922/+1.42581956594323900/298.9537 params=0.869106112857448/0.008789330729087191/0.9756157109286783/1.71642\ 2009949034 float=y maxiter=1500 inside=0 colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\ W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\ r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\ zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\ zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\ zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\ z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\ z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\ z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\ e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\ I00H00G00F00E00D00C00B00A009008007006005004003002000000 } frm:quadros_rjr_e {; bs and rjr y2k03 ; As posted in Fractal-Art, 4/28/97 z=fn1(pixel+abs(p1))/fn2(pixel+abs(p2)): z=pixel*fn3(z) |z| <= 100 ;SOURCE: 97msg.frm } Roger Alexander

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FOTD 04-09-10 (Radically Different [9])
by Jim Muth 03 Sep '10

03 Sep '10

FOTD -- September 04, 2010 (Rating 9) Fractal visionaries and enthusiasts: Today's image is something different. In fact, it is so differ- ent that it might be called radically different, which is what I named it. The name is even more appropriate since I think it was Mr. Mandelbrot himself who gave the name 'radical' to the entire area of influence (filaments, stars, etc) associated with the familiar Mandelbrot buds. There is no doubt that the things lining the bottom edge of the frame in today's image are Mandelbrot buds. The doubt arises when the rest of the image is taken into consideration. Some- thing is definitely awry with the lesser-iteration stuff in the upper part of the frame. The scene is sliced at an angle only one degree from the Oblate direction, which means that in the undistorted parent fractal, (which is worth checking), the mandelbrot stuff, including the buds, are stretched in the horizontal direction to 57.29 times their normal extent. To correct this distortion, I squeezed the X-dimension of the parent down to 0.017455 of its normal value. The trig literate know why I used these values. This scrunching wreaked havoc with the lesser-iteration stuff, but it made quite an interesting image, once I worked on the coloring a bit. The resulting image resembles a sunset scene on a totally alien planet, where fractals are reality and material is imaginary stuff created by computers from material formulas. The rating of a superlative 9 includes a full point for the coloring. The calculation time of 10-1/2 minutes is a bit slow, but this drawback may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Lots of heat continued here at Fractal Central on Friday, though the sun was weakened by high clouds from Hurricane Earl, which passed by 300 miles to the east during the day. Not being weather buffs, the fractal cats survived the temperature of 90F 32C by stretching on the cool kitchen floor. The humans had an average day. I'll be alone at FC on Saturday while FL attends a nephew's wedding in Havre de Grace, MD. This should give me a great opportunity to find a fractal or two. Look for the next FOTD in 24 hours. Until then, take care, and humanity surely is in a spot. It knows that the over-population will eventually overwhelm the earth's resources, and technology will not be able to save it, yet it is helpless to stop the run- away reproduction. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RadicallyDifferent { ; time=0:10:28.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=slicejulibrot4 passes=1 float=y center-mag=+0.4220691763543036/+0.1260867862281196\ /37.40621/0.5733/-5.65341784535408021/-84.170238\ 4804418955 params=0/0/89/0/-0.75/0/0/0/2/0 maxiter=100000 inside=0 logmap=48 periodicity=6 colors=0007Fi7Fj7Fj6Fk6Fk6Fl6Fl6Gl6Gm6Gm5Hn5Hn5Hn5\ Ho5Io5Ip5Ip4Jq4Jq4Jq4Kr4Kr4Ks4Ks3Kt3Kt3Kt3Ku3Ku3Kv\ 3Kv2Kw2Kw2Kw2Kx2Kx2Ky2Ky2Ky3Kx3Kx3Kx4Kx5Kw6Kw7Kw8K\ w9KvAKvBKvCKvDLuEMuFNuGOuHPtIPtJPtKPtLPsMPsNPsOPsP\ PrQPrRPrSQrTQqUQqURqURqURpUSpUSpUSpUToUToVToWToXUn\ YUmZTl_Tk`SjaSibRhcRgdQfeQefPdgPcgObgObgNcgNehOeiP\ gjQikRjlSklTmkUnjVoiWrhXpgYofZne_md`mcambama`m``m_\ `mZ`mY_mX_mWZmVZmUZmTZmSZmRZmQZmP_mO_mNamM`mL`mK`m\ J`mI_lH_kGZjFYiEYhDYgEZgF_hG`iHakIamJboKcqLcsMcuNd\ wOexPfyQgzQhzRhzSgyUfxWezYdv_cuactccsdcqecofcmgclh\ ckickjcjkcjlbimahm`hm_gmZfmYfmXemWemYdnZco_cpabqba\ rcase`tf`ug_viZwjZxkYymXznXzoWzpWsnXtmYulZvk_wi`xh\ aygazfbzeczcdzbezafz`gz_gzYhzXizWjzYkzalzemzimzmnz\ mozmpzmqzmrzmszmtzmuzmvzmwzmvzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzzz\ 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Re: [Fractint] Mandelbrot tattoo
by JackOfTradeZ＠comcast.net 02 Sep '10

02 Sep '10

. Fake is what I 1st thought. A fractal is a very intricate and complex image, generated mathematically. The best tattoo artist (and some of them are very good) could not accurately do it by looking at a picture and working, certainly not from memory or imagination. The best way would be for someone like us who is familiar with fractals to see the tattoo up close and personal and examine it for detail. Aside from that, I vote it is a photoshop fake OR, most likely, as someone said, an ink transfer from a real image. .

4 3

Swirly Swirly
by Roger Alexander 02 Sep '10

02 Sep '10

The spiral-water harmlessly swirling down the drain or a devastating cyclone. Hmmm, I suddenly realize it's all a matter of scale fract398.gif { ; swirly ; blank ; calctime 0:47:06.73 ; created Sep 02, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_a.frm formulaname=andy34 function=cotan/sinh center-mag=-0.18570252816020020/-0.04238424040066781/4166.667 params=0.9142429883724479/-0.2577898495437483/0.09115878780480362/-0.944\ 0900906399732 float=y maxiter=1500 inside=0 logmap=169 colors=0100200300400500700800900A00B00D00E00F00G00H00J00K00L00M00N00P00Q\ 00R00S00T00V00W00X00Y00Z00`00a00b00c00d00f00g00h00i00k00k01k02k03l04l05l\ 05m06m07m08n09n0An0Bo0Bo0Co0Dp0Ep0Fp0Gp0Hq0Hq0Iq0Jr0Kr0Lr0Ms0Ns0Ns0Ot0Pt\ 0Qt0Ru0Su0Tu0Tu0Uv0Vv0Wv0Xw0Yw0Zw0Zx0_x0`x0ay0by0cy0dz1dz1ez1ez1fz2fz2gz\ 2gz2hz3hz3iz3iz3jz4jz4kz4kz4lz5mz5mz5nz5nz6oz6oz6pz6pz7qz7qz7rz7rz8sz8sz\ 8tz8uz9uz9uz9tz9tz9tz9sz9sz8sz8rz8rz8rz8qz8qz7qz7pz7pz7oz7oz7oz6nz6nz6nz\ 6mz6mz6mz5lz5lz5lz5kz5kz5kz4jz4jz4iz4iz4iz4hz3hz3hz3gz3gz3gz3fz2fz2fz2ez\ 2ez2dz1dz1cz1bz1ay1`y1_y1_x1Zx1Yx1Xw1Ww1Vw1Uv1Uv1Tv1Su1Ru1Qu1Pt1Ot1Ot1Nt\ 1Ms1Ls1Ks1Jr1Ir1Ir1Hq1Gq1Fq1Ep1Dp1Cp1Co1Bo1Ao19n18n17n16m06l06k06j06i06h\ 06g06f05e05d05c05b05a05`05_05Z04Y04X04W04V04U04T04S04R03P03O03N03M03L03K\ 03J03I02H02G02F02E02D02C02B02A0190180170160150140130010 } frm:andy34 { bailout = 200 z = c = pixel^p1: z = z^2 + c + p2 z = z * (fn1(p1) + fn2(p2)) |z| <= 128 ;SOURCE: andy_1.frm } Roger Alexander "There are 10 kinds of people in this world - those who understand binary and those who don't"

1 0

FOTD 03-09-10 (Top of the Crop [6])
by Jim Muth 02 Sep '10

02 Sep '10

FOTD -- September 03, 2010 (Rating 6) Fractal visionaries and enthusiasts: Due to a lack of time, today's image shows a lack of attention, which holds it to a rating of an unimpressive 6. To create the image I combined 1/2 negative part of Z^(-4.5) with 1-1/2 negative parts of Z^(-1.5) and added (1/C). The terraced effect was achieved by rendering the image with the inside set to 'tdis'. The name "Top of the Crop" is a bit mis- leading. Actually, the image is the top of nothing. The calculation time of 2-5/6 minutes is reasonable, but even this brief wait may be avoided by viewing the already-calculated image on the FOTD web site at: <http://www.Nahee.com/FOTD/> As for that photograph of the tattooed woman on the web site, I don't think the photo is faked. The foreshortening where the fractal wraps around the woman's sides would be difficult to pull off this convincingly. Most likely the fractal is some kind of dye transfer, and the woman and photographer planned the picture together. The effect would have been more convin- cing if they had eliminated the iteration bands. Far too much heat filled the air here at Fractal Central on Thursday. The temperature of 97F 36C was made bearable only by the relatively low humidity. The fractal cats must have agreed, for they clung to the cool kitchen floor like flies to flypaper. My day was busier than expected, but things should slow to a more reasonable pace on Friday. The next FOTD will be posted in 24 hours. Until then, take care, and to be a reasonable person, one must have faith that the things observed by the five senses are the ultimate reality. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Top_of_the_Crop { ; time=0:02:50.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.9696532311581735/+2.282990570495556/\ 7.206449e+011/1/151/0 params=-0.5/-4.5/-1.5/-1.5/0\ /0/0/0 float=y maxiter=1600 inside=0 outside=tdis periodicity=0 mathtolerance=0.05/1 colors=000JBWJBYJB_EBZJBYJBYJBXJBXJBWJBVJAUJ9SJ8RI\ 7PH6LG5JD4EB5BD6CD7EE8HG9JI9MKBOMDPOFQPIQQLRRORSQS\ TRUSSXSTYSUZSV_SW`SWaSXbSXcTXdSWeSWfSVgKK`A0LzZ6zP\ 8vK9rHAqFBqACr5Ew0Fw0Gw0Hw0Iw0Kw0Lm0Mc0NY0OW0QU0RS\ 0SQ0TP0UzzRzjzzzczjzzjzzzczjzzzGzjzzzcz`Gz`Gv`HvjF\ u`FujFt`FtjFt`FsRFsQFrPIrOIqNIqMJpLJpKJoJJoIJoHJpG\ MpGOpFRqFTqEWqEYrD`rDbrCesCgsBjsBltAotAqtAssClrEeq\ FZpHSoJLoKElJHjJJhJLfJNdIPbIR`ITZIVWHYUH_SHaQHcOGe\ MGgKGiIGkGGmJFhMEcOEZRDVTDQWCLZBH`BCcA7eA3_E7UHBOK\ EINIDQLEUIEYFE`DEdAEh8Ek5Eo3Es0Ev0Gt0Is0Jq1Lp2Mo3O\ m3Pl4Rk5Si6Uh7Vg7Xe8Zd9_bAaaBb`CdZCeYDgXEhVFjUGkTG\ mWHnYHp_IqaIscJteJvgKwiKykLzmLzoMzqMzsMzpNymOvjPtg\ QqdRoaSlZTjWUgTUeQVbNW`KXYHYWEZTB_R8`O5aM3aP4bS5cV\ 6dX7eYGdYOdYWdYcd_dd`edaedbfdcgddgdehdfidgidhjdjkd\ kkdlldmmdnmdondpodqodrpdsqdtqdshZr_UrSOqJJpADp28q6\ Br9DrDFsGIsKKtNMjBZjBakBc } 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

Mandelbrot tattoo
by Lee H. Skinner 02 Sep '10

02 Sep '10

Scroll about halfway down this page for the awesome picture: http://mathfail.com/ (for Sep 1, 2010) (Is it anybody on this list? :-) Lee Skinner

7 9

Techno straight lines
by Roger Alexander 02 Sep '10

02 Sep '10

Fractint can make lots more than minibrots. The straight lines and almost metallic sheen of the design gives this fractal an abstract techno feel. fract396.gif { ; techno ; blank ; calctime 0:00:45.15 ; created Sep 02, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2000 type=formula formulafile=chby28.frm formulaname=Alpha03-28 function=tan/floor/cosxx center-mag=0/0/0.6666667/-1/180 params=1.013275551622059/-0.140812402722251/-0.2901089510788293/0.255745\ 1094088565 float=y maxiter=1200 outside=atan cyclerange=0/255 colors=9EN9EM8DM8CL7CL6BK6AK5AJ49J49I38I37H27H16G16G05F05F05F05F16G16G16\ G16G16G27H27H27H27H27H38I38I38I38I38I49J49J49J49J49J5AK5AK5AK5AK5AK6BL6B\ L6BL6BL7CM7CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9EO9EOAFPAFPAFPAFPAFPBGQBG\ QBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJTFKTGKUGLUHLVHMVIMVINWJN\ WJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_OT_PT_PT`QU`QUaRVaRVaSWbSWbTXbTXcUYcUYcVZ\ dVZdW_eW_eX`eX`fYafYafZbgZbg_ch_ch`ch`diadiaeibejbfjcfjcgkdgkdhlehleilfi\ mfjmgjmgknhknhlniloimojmpjmpknpknqloqloqmprmprnqsnqsorsortpstpstqtuqturu\ uruvsvvsvwtwwtwwuxxuxxuxxvyyvyywzzvyyvyyuxxtxxtwwsvwsvvruvquuqtupstostor\ snqsnqrmprlpqloqknpjnpjmoimohlnhkngkmgjmfjleilehkdhkcgjcfjbfibeiaeh`dh`c\ g_cgZbfZbfYaeX`eX`dW_dW_cVZcUYbUYbTXaSWaSW`RV`RV_QU_PTZPTZOSYNSYNRXMQXLQ\ WLPWKPVKOVJNUINUIMTHLTGLSGKSFKRFJREIQDIQDHPCHPBGOBFOAFN } frm: Alpha03-28 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; = Alpha[3] = (exp(-z)-3Alpha[2])/z t=p1, bailout=real(p2), z=pixel, x=real(pixel) y=imag(pixel), h=imag(p2): newx=x-h*fn2(y+fn3(3*y)) newy=y-h*fn2(x+fn3(3*x)) x=newx, y=newy x2=x*x, y2=y*y Tx=fn1((((x-3)*x+6)*x-6)/(exp(x)*x2*x2)) Ty=fn1((((y-3)*y+6)*y-6)/(exp(y)*y2*y2)) x=x-t*Ty, y=y+t*Tx z=x+flip(y) |z|<=bailout ;SOURCE: chby28.frm } Roger Alexander

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Re: [Fractint] Mandelbrot tattoo
by Roger Alexander 01 Sep '10

01 Sep '10

Author: Maryetta Campbell Date: 2010-09-01 12:352010-09-01 18:35 -600UTC To: fractint Subject: Re: [Fractint] Mandelbrot tattoo Lee H. Skinner wrote: > > Scroll about halfway down this page > for the awesome picture: > http://mathfail.com/ > I believe this has been faked. The fractal seems to have been added to a normal photograph after the picture was taken. If you save the image to your hard-drive and use a graphic editor to enlarge the view, you can see portions of the fractal image on top of the straps. Plus there are pixels distortions in several places: • the chain of the necklace • lower right elbow • etc... I don't know about anybody else but to analyze the fractal design I couldn't even start without the original par file. Or is that getting obsessive compulsive? Roger Alexander

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FOTD 02-09-10 (Disgraced Minibrot [8.5])
by Jim Muth 01 Sep '10

01 Sep '10

FOTD -- September 02, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image shows a minibrot in the East Valley of the second largest minibrot on the main spike of the Mandelbrot set. Yes, yes, I know that the parent fractal is not exactly a Mandelbrot set, nor is the thing at the center of today's image a fully- formed quadratic minibrot. The parent fractal is a M-set only on its surface. Deep inside, where today's image lies, it takes on Z^1.99 characteristics. And yes, I realize that the conventional Z^1.99 Mandeloid has a very rudimentary main spike, but the negative value of the second parameter in today's formula reverses things, and instead of absorbing the spike, broadens and fractalizes it, as would be expected in a Z^2.01 Mandeloid. I named today's image "Disgraced Minibrot". The sorry excuse of a minibrot at the center of the image certainly is a disgrace to minibrotdom. Actually, it is more of a Z^1.99 minibrot than a Z^2 one. And I'm also uncertain as to whether it's a fully critical minibrot or a perturbed one. Whatever it is, its sur- rounding pattern is unexpectedly striking. The mini-something at the center does indeed deserve a closer look, though that will have to wait for another day and another FOTD. Quite a bit of the rating of an unusually high 8.5 was earned by the coloring, an aspect of fractals to which I have been giving more attention lately. The calculation time of 2-1/2 minutes is reasonable, but if this is still beyond reason, check the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> An episode with a bit of political opinion is included at the bottom of the parameter file. Those who prefer to avoid the annoyance of dissenting political views should not venture there. Too much heat and increased humidity made Wednesday a forget- table day here at Fractal Central. The high temperature of 95F 35C was anything but comfortable, a fact that the fractal cats could agree with as they stretched on the cool kitchen floor. Except for a minor political squabble with FL, my day was fair enough. The next FOTD will be posted in 24 hours. Until then, take care, and I became a cynic because I prefer to be right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Disgraced_Minibrot { ; time=0:02:31.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.473095230132326/+0.00006497802277321\ /2.0663e+007/1/-175/0 params=1.99/-1000/0/0 float=y maxiter=2250 inside=0 logmap=262 periodicity=6 colors=00030640851A62C73E84G95IA6KA7MA8OA9QAASAAUA\ AWAAYAA`AAbAAdAAgAAiAAkABnACpACrCEqDFqFGqGHqIJpJKp\ LLpMMpONpPPoRQoSRoUSoVToXVnYWn_Xn`YnaZnZYmXYlVXkTX\ jRXiPWiNWhbYnb_nbSibKdbD`YMWUURPaNLiIHqEQn`Ykwcmpi\ ojnpdtrZysTurVqqWmpXipYeo_an`YnaUmbQlcMkeIkfEjgAih\ 6ii4W`2IS14KRI`TNbURdVWeW_gYciZhj_ll`pmankaljakiai\ haggaffadeacdaaca_baZaaX`aW_heeonkuwqssnqokokhngfl\ ccj_`hWYgSWcRTZUQUXOPZNK`MFbLAd0Cf0Eh0Hj0Il0In0Kp0\ Mr0Ot0Rv0Ux0Zz0Ux2Pu4Kr65o84lA4gC4cE4_E4VE3OE2LE3I\ F3GF3EF3FF4HG4IG4JG4KG4KGKWNMUMNSLORKPPJQOIRMHTLGU\ JFVIEWGDXFCYDBZCB_IA`OAaUAa_AbeAckAzzAzzAzz9zz8zz8\ zz7zz7zz6zz5zz5zzUztKzhBrbHneOkcUg`_dZf`WlYUrUPlQL\ fMHcI7cO4cZ4cc0cc3cc5cc8ccAccChiFnpHtvJzwIzxKzyKzz\ UzzUzzUzzUzzczzczzczzczzczzczzczzczzczzczzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } 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========================================= While watching the news at lunch break on Wednesday, FL said something about how disappointed everyone is in the failure of 'superpresident' to fulfill his campaign promises. Unable to control myself, I answered that not everyone is disappointed. Some people saw through the feel-good talk and realized that nothing was behind it. Expecting nothing, how could they be disappointed when nothing was delivered. FL then accused me of boasting, and entered sulk mode. . . . See you soon! Jim M.

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The good ole minibrot
by Roger Alexander 01 Sep '10

01 Sep '10

Today's fractal is a minibrot. The wandering minibrot, ubiquitous ambassdor for the escape time fractal. Ready made at http://maxitersfractalfollies.blogspot.com fract394.gif { ; nomadic minibrot ; blank ; calctime 0:05:27.91 ; created Aug 31, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=fract001.frm formulaname=F'M-SetInNewtonC function=cotanh center-mag=+2.18661583577712500/+0.00012135918839123/91.72629 params=-0.1602832117679373/0.8794213690603351/0.3886837366863002/0.28681\ 29520554216 float=y maxiter=3600 proximity=2 outside=fmod periodicity=0 cyclerange=0/255 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } frm:F'M-SetInNewtonC(XAXIS) { ; same as F'M-SetInNewtonB except for bailout ; use float=yes, periodicity=no ; (3 <= p1 <= ?) and (1e-30 < p2 < .01) z=0, c=fn1(pixel), cm1=c-1, cm1x2=cm1*2, twoop1=2/p1, p1xc=c*real(p1): z = (p1xc - z*cm1x2 )/( (sqr(z)*3 + cm1 ) * real(p1) ) + z*real(twoop1), abs(|z| - real(lastsqr) ) >= p2 } Roger Alexander

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FOTD 01-09-10 (Julia Switching Yard [7])
by Jim Muth 31 Aug '10

31 Aug '10

FOTD -- September 01, 2010 (Rating 7) Fractal visionaries and enthusiasts: Tuesday was rather busy here at Fractal Central, which left little time for a proper fractal search. But I did manage to find an interesting Julia set of a point on the edge of the infinitely-divided main stem of an almost-Mandelbrot set. The point is located in the East Valley of the large minibrot. I named the image "Julia Switching Yard". It reminds me of the network of tracks found in railroad switching yards. Then I rated the image at a 7. It's rather attractive, but nothing to get too excited over. The calculation time is 49 seconds -- brief enough to cause no one any impatience. And even this minor task may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> With a temperature of 93F 34C, increased humidity and an increa- singly hazy sky, Tuesday proved to be too much of a good thing here at Fractal Central. The fractal cats' big excitement came when an acrobatic squirrel somehow got caught in the overhead utility lines outside the sunny window. The dynamic duo braved the hot sun to watch the ensnared squirrel struggle to free itself. Eventually the squirrel broke loose and went on its way to the nearest tree, while the cats retired to the cool kitchen floor. My day was normal. But plans for a FC web site are growing. The next FOTD will be posted in 24 hours. Until then, take care, and look forward in reverse. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= JuliaSwitchingYard { ; time=0:00:49.59-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2J function=recip passes=1 center-mag=0/0/343/1/42.5/0 params=2.01/1000/0/0\ /-1.75037211629/4.909338e-005 float=y maxiter=2700 inside=255 logmap=75 periodicity=0 colors=000G1AJ1AM1AP1AS1AV1AY1A`1Ac1Af6AiBAlHAnNBq\ TBsZ8wf9zl9zrKzxUzzczzmzzszzzzzzzzzzzzOzzcsz_iLX_K\ TQIQGHN6Fc6Ez6Cz_Rv_PrUOlNNfKMbIJ_HIXGJTFHQDGNBFK9\ EE60000ilzgjwdgsaep_clX`iUZeSXbRVZPUWNTTLSQKQNIPKG\ OHENEuPrrOppOnnOllOjjOhhOffOddNbbN``NZZNXXNVVNTTNR\ RMPPMNNMLLMJJMHHMFFMDKezNbzP`zSYzVVzYSz_QpbNqeKrhH\ sjFtmCup9vr7woAolDgjF_gISdLKbNCaQE`SG`UI_WK_YMZ_OZ\ aQYcSYeUXgWXiXWlZVn`VpbUrdUtfTvhTxjSzlSznczpczqczn\ czlcziNzgMwdMvbLt_KsYJqVIoTInQHlOGjLFiJEgGEfEDdBCb\ 9Ba6A_4AZ2D`4Fa6Hc8Kd9MfBOgDQhFTjGVkIXmKZnLaoNcqPe\ rRhtSjuUlvWnxYqyZsz`uzbwzcvyWuuOtqGtm8poAlpCiqEerG\ aszZuzzvMRwzzxQKyzzzUDzzzzYzz_zzazzc5vzzqf7mz8hzzd\ kzchzbfDacE`aG__HZXIYVJXSLWQMVOmULmTJmSHmVJmYKmWMm\ VNmUOmTPmSQmQRmPSmOTmNUmMVmKXmJzmIzmHzmGznEznDznCz\ nBznAz_9zL8z68z97zB7zD7zF7zH7zK7zM7zO7zQ7zS7zT8zU9\ zUAzVBzVCzWDzWGzXGzXGzYGz } frm:FinDivBrot-2J { ; Jim Muth z=pixel, c=(p3), 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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Oxgenation Reprised
by Roger Alexander 30 Aug '10

30 Aug '10

Today's fractal is yesterdays posting reprised.The Carlson stalk formulas are great examples of programming ingenuity. Clever algorithmic insight takes Fractint, which is essentially a 2 dimensional plotting program, and produces convincing pseudo-3d images. Ready made at http://maxitersfractalfollies.blogspot.com fract393.gif { ; Carlson stalks ; blank ; calctime 0:21:01.79 ; created Aug 30, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=frac_ml.frm formulaname=Zf_Ang function=cotan center-mag=0.0112924/0.0250417/2.73224 params=0.5/0.5/0.5/-12/2/128 float=y maxiter=1500 inside=0 outside=summ colors=000zzzzyyzxxzwwzvvzuuzttzsszsszrrzqqzppzooznnzmmzllzkkzkkzjjziizh\ hzggzffzeezddzcczcczbbzaaz``z__zZZzYYzXXzWWzWWzVVzUUzTTzSSzRRzQQzPPzOOzO\ OzNNzMMzLLzKKzJJzIIzHHzGGzGGzFFzEEzDDzCCzBBzAAz99z88z88z77z66z55z44z33z2\ 2z11z00y00x00w00v00u00t00s00r00q00o00n00m00l00k00j00i00h00g00e00d00c00b0\ 0a00`00_00Z00Y00W00V00U00T00S00R00Q00P00O00N00L00K00J00I00H00G00F00E00D0\ 0B00A00900800700600500400300100000yyzxxzwwzvvzuuzttzrrzqqzppzooznnzmmzll\ zjjziizhhzggzffzeezddzbbzaaz``z__zZZzYYzXXzVVzUUzTTzSSzRRzQQzPPzNNzMMzLL\ zKKzJJzIIzHHzFFzEEzDDzCCzBBzAAz99z77z66z55z44z33z22z00z00z00y00x00w00v00\ u00t00t00s00r00q00p00o00n00n00m00l00k00j00i00h00h00g00f00e00d00c00b00b00\ a00`00_00Z00Y00X00W00W00V00U00T00S00R00Q00Q00P00O00N00M00L00K00K00J00I00\ H00G00F00E00E00D00C00B00A009008008007006005004003002001 } frm:Zf_Ang {; Copyright (c) Paul W. Carlson, 1998 ; p1 = Julia set coordinates ; real(p2) = controls size of the elements ; imag(p2) = number of iterations to skip ; real(p3) = number of color ranges ; imag(p3) = number of colors in a range ; z = k = iter = range_num = bailout = 0 w = pixel c = p1 prev_modw2 = 1.0e20 size = real(p2) skip_iters = imag(p2) num_ranges = real(p3) colors_in_range = imag(p3) factor = (colors_in_range - 1) / size : w = c * (w - 1 / w) a = 2 * atan(imag(w) / real(w)) a = a * a + c a = fn1(1 - a) / a ; dist = abs(|w| - |a|) IF (dist < size) bailout = 1 IF (iter > skip_iters) k = 1 ENDIF z = (factor * dist + range_num * colors_in_range + 1) * k ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: 98msg.frm } Roger Alexander

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FOTD 31-08-10 (Multi-Elephantine [7])
by Jim Muth 30 Aug '10

30 Aug '10

FOTD -- August 31, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us on another trip into the abstract fourth dimension. It is a near-Julia set of the East Valley area of a minibrot located on the main spike of the Mandelbrot set, rather close to the set's main body. The image is not a Julia set, nor is it a Mandelbrot set. It is a hybrid, with both Mandelbrot and Julia characteristics. The outer shape is obviously a Julia set of an East Valley. The brilliant innermost parts however are a very oblique slice of the Mandelbrot aspect of the area. The buds in this brilliant area are purely Mandelbrot buds, though at this extreme angle they are partially obscured. I named the image "Multi-Elephantine" because of an abundance of the beasts hiding throughout the scene, which is chock full of both elephants and bits and pieces of elephants. In today's image however, the ponderous pachyderms are less apparent than they usually appear. The rating of a 7 is far enough above average to make the 6-1/3 minute calculation time worth the wait. The calculation wait may be totally eliminated however by viewing the already-calculated image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Near perfect late summer weather prevailed here at Fractal Central on Monday. The day began with fog, but by 9am the sun broke through, and for the rest of the day not a single cloud was seen. The high temperature of 90F 32C was a bit too warm for total comfort in the sun. The dry air made it quite pleasant in the shade however. It's too bad we could not spend the day outside in this perfec- tion. The fractal cats enjoyed their perfection however. They found perfection on the kitchen floor and on their shelf in the sunny window -- while the sun was not there, of course. The next FOTD will be posted in 24 hours. Until then, take care, and why philosophize about the meaning of existence, when we don't even know the meaning of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Multi-Elephantine { ; time=0:06:22.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 maxiter=32767 center-mag=0/0/38/1/90/0 params=89.96/0/89.96/0/\ -1.416653/3.1e-005/0/0/2/0 float=y inside=0 logmap=28 periodicity=7 colors=000AFUAGWAHYAI_AJaAKcALeBMgCNiDOkEPmGQoIRqK\ SsMTsOUpQVkSWfUXaYYX_ZRa_Mc`HeaCgb7ic2kd7meBofFmgK\ lhOkiSijXhk`gkdddYbZR_TLYMEVG7TA1WB7ZCDaCIdDOgDTjE\ ZmFdpFisGouGtqFpmEmjDjfCfcBc_A`X9XT9UP8RM7NI6KF5HB\ 4D83A427124HVPXwhYteYqcYnaZk_ZhYZeW_bU_`U_YU_VU_SU\ _TUZUUZVUZWUZXUZYUZZUZZUZZVZZWZZXZZYZZZZZ_ZX`ZZ_ZZ\ ZZZYZZXZZWZZWZZXZZYZZZZZ_ZZ`YZaXZbWZcVZcU_cQ_cN`cQ\ acSacU`cWZcYXc_VbaT`dQYfOVgMShKQiINjGKkEIlGIlIIlKI\ nLIoNIpPIrRIsSIsUItWItYItZIu`IubIucIqaJn`KkZLgYMdX\ NaVOZUPVTQSRRPQSLPTINUFMVCLVNTOX_HffBgdGgcLgaPg`Uh\ _ZhYbhXghWkfZieagdcecfdchbck`cm_clackbcjcciechfcgg\ cficejcdkcdlcckcbkcakc`jc_jcZjcYicXicWjcVkcVlcWmcX\ ncYocZpc_qc`rcascbtccuccvccwccxccycczcczcczcczcczc\ czcczcczcdzcezcfzcgzchzcizcjzckzclzcmzcnzcozcpzcqz\ crzbszatz`uzZvzXwzVxzTyzRzzQzzOzzMzzKzzIzzGzzFzzDz\ zBzz9zz7zz5zz0zz1zz1zz1zz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Oxygenation
by Roger Alexander 30 Aug '10

30 Aug '10

Today's fractal is from one of the Carlson stalk formulas. The blue red palette is meant to suggest the oxygenation-deoxygenation of the circulatory system. fract392.gif { ; oxygenation ; blank ; calctime 0:05:55.65 ; created Aug 29, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_z.frm formulaname=Zf_Ang function=acos center-mag=0.0700876/0.0250417/2.73224 params=0.5/0.5/0.5/-12/2/128 float=y maxiter=1500 inside=0 outside=summ colors=0Pzzzzzyyzxxzwwzvvzuuzttzsszsszrrzqqzppzooznnzmmzllzkkzkkzjjziizh\ hzggzffzeezddzcczcczbbzaaz``z__zZZzYYzXXzWWzWWzVVzUUzTTzSSzRRzQQzPPzOOzO\ OzNNzMMzLLzKKzJJzIIzHHzGGzGGzFFzEEzDDzCCzBBzAAz99z88z88z77z66z55z44z33z2\ 2z11z00y00x00w00v00u00t00s00r00q00o00n00m00l00k00j00i00h00g00e00d00c00b0\ 0a00`00_00Z00Y00W00V00U00T00S00R00Q00P00O00N00L00K00J00I00H00G00F00E00D0\ 0B00A00900800700600500400300100zzzyyzxxzwwzvvzuuzttzrrzqqzppzooznnzmmzll\ zjjziizhhzggzffzeezddzbbzaaz``z__zZZzYYzXXzVVzUUzTTzSSzRRzQQzPPzNNzMMzLL\ zKKzJJzIIzHHzFFzEEzDDzCCzBBzAAz99z77z66z55z44z33z22z00z00z00y00x00w00v00\ u00t00t00s00r00q00p00o00n00n00m00l00k00j00i00h00h00g00f00e00d00c00b00b00\ a00`00_00Z00Y00X00W00W00V00U00T00S00R00Q00Q00P00O00N00M00L00K00K00J00I00\ H00G00F00E00E00D00C00B00A009008008007006005004003002001 } frm:Zf_Ang {; Copyright (c) Paul W. Carlson, 1998 ; p1 = Julia set coordinates ; real(p2) = controls size of the elements ; imag(p2) = number of iterations to skip ; real(p3) = number of color ranges ; imag(p3) = number of colors in a range ; z = k = iter = range_num = bailout = 0 w = pixel c = p1 prev_modw2 = 1.0e20 size = real(p2) skip_iters = imag(p2) num_ranges = real(p3) colors_in_range = imag(p3) factor = (colors_in_range - 1) / size : w = c * (w - 1 / w) a = 2 * atan(imag(w) / real(w)) a = a * a + c a = fn1(1 - a) / a ; dist = abs(|w| - |a|) IF (dist < size) bailout = 1 IF (iter > skip_iters) k = 1 ENDIF z = (factor * dist + range_num * colors_in_range + 1) * k ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: 98msg.frm } Roger Alexander

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FOTD 30-08-10 (Total Abstraction [6])
by Jim Muth 29 Aug '10

29 Aug '10

FOTD -- August 30, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene in the Rectangular (imag(c),imag(z)), orientation of the Z^2+C Julibrot. The scene is located near the -1.416 point of the main spike of the Mandelbrot set. The rating of a 6 is a come-down from the lofty ratings of the past several days, but the image is still worth a look, and the calculation time of just over 2-1/4 minutes will cause little inconvenience. The name "Total Abstraction" refers to the nature of the four- dimensional Julibrot figure, as well as all other 4-D things. The curious thing about this is that when one or two dimensions of the total abstraction are discarded by taking slices, the slices prove to be very real. This abstract stuff becomes quite clear when the image is seen. It may be seen on the FOTD web site in finished form at: <http://www.Nahee.com/FOTD/> The sky was once again cloudless here at Fractal Central on Sunday, but the temperature of 90F 32C was a bit too warm for human or cat comfort. The fractal cats took up residence on the cool kitchen floor, while the humans took it easy on the porch. The next FOTD will be posted in 24 hours. Until then, take care, and as I see it, the concept of meaning is an invention of intelligent minds. Since the universe apparently has no mind, how then can it have a meaning apart from what we give it? But at the same time, what is the evolutionary advantage of this human tendency to waste mental energy searching for meaning and even to invent meaning where none exists? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Total_Abstraction { ; time=0:02:15.37-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/-0.028319668443599/3349.992/4.7924/180 params=90/0/0/90/-1.41665335/0/0/0/2/0 float=y maxiter=5000 inside=0 periodicity=6 colors=000UQwUQwUQwUPwTPwTPxTOxSOxSOxSNxSNyRNyRMyR\ MyRMyQLwPKuOKtOJrNJpMIoMHmLHkKGjJGhJFgIFeHEcHDbGD`\ FCZECYEBWDBVCAT000C9RB9QA8O98M97L86J76H75G65E54D44\ B439328226214113001JMxILvIKtHKsHJqGJpGInFImFHkEHjE\ GhDFgDFeBDbBD`BC`BCZACYACW9BW9BU9AS89R89P78O79M6AL\ 6BJ5CI5EG4HF4KD3PC3UA2Z92c71h61m40r30v1Az6Kx5Pv4Ut\ 3Zr2cp1hn8ml7rj7vh7zf6vd6rc6ma6h_5cY5ZW5UU4ST4QR4O\ P4MN3KL3IK3GI2EG2CE2AC28A1691471250130010L1xK0wK0v\ K0uK0uJ0tJ0sJ0sJ0rI0qI0pI0pI0oH0nH0nH0mH0lG0lG0kG0\ jG0iF0iF0hF0gF0gE0fE0eE0eE0dE0cD0bD0bD0aD0`C0`C0_C\ 0ZC0ZB0YB0XB0WB0WA0VA0UA0UA0T90S90S90R90Q80P80P80O\ 80N70N70M70L70L70KA5JFAIKFJPKKUPPZUUcZZhccmhhrmmvr\ rzvvuzzszzqzzozzmzzkzzizzgzzezzcyzbxzawz`vz_uzZtzY\ szXrzWqzVpyVoxUnwUnvTmuTluTltSksSjrRiqRipQhpQgoQgn\ PfmPelOdkOdkOcjNbiNbhMagM`fL_fL_eLZdKYcKYbJXaJWaIV\ `IV_IUZHTYHTXGSXGRWGRVFQU } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Blue Scales
by Roger Alexander 28 Aug '10

28 Aug '10

Matching the palette with outside=fmod coloring produces a scale effect in todays fractal. For a metallic sheen effect I often use outside=atan or decomp. Ready made at http://maxitersfractalfollies.blogspot.com fract391.gif { ; blue scales ; blank ; calctime 0:18:12.68 ; created Aug 28, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=aaaa_rjr function=asin/sqr passes=1 center-mag=0.762834/-0.728134/3.178295 params=0.1784417249061556/0.03726310007019257/-0.75/0.7421796319467757 float=y maxiter=1500 inside=0 proximity=3 outside=fmod colors=kpp0mz0mz0mz0lz0lz0ky0ky0ky0jy0jx0ix0ix0ix0hw0hw0gw0gw0gv0fv0fv0e\ v0eu0du0du0du0ct0ct0bt0bt0bs0as0as0`s0`r0`r0_r0_r0Zq0Zq0Yq0Yq0Yq0Xp0Xp0W\ p0Wp0Wo0Vo0Vo0Uo0Un0Un0Tn0Tn0Sm0Sm0Rm0Rm0Rl0Ql0Ql0Pl0Pk0Pk0Ok0Ok0Nj0Nj0N\ j0Mj0Mi0Li0Li0Ki0Kh0Kh0Jh0Jh0Ig0Ig0Ig0Hg0Hg0Gf0Gf0Gf0Ff0Fe0Ee0Ee0De0Dd0D\ d0Cd0Cd0Bc0Bc0Bc0Ac0Ab09b09b09b08a08a07a07a06`06`06`05`05_04_04_04_03Z03\ Z02Z02Z01Y00Y00Y00Y00X00X00X00X00W00W00W00W00W00V00V00V00V00U00U00U00U00\ T00T00T00T00S00S00S00S00R00R00R00R00Q00Q00Q00Q00P00P00P00P00O00O00O00O00\ N00N00N00N00M00M00M00M00M00L00L00L00L00K00K00K00K00J00J00J00J00I00I00I00\ I00H00H00H00H00G00G00G00G00F00F00F00F00E00E00E00E00D00D00D00D00C00C00C00\ C00C00B00B00B00B00A00A00A00A00900900900900800800800800700700700700600600\ 6006005005005005004004004004003003003003002002002002001 } frm:aaaa_rjr {;rjr y2k04 z = pixel, c = z: z = fn1(z*fn2(z+p2)) |z| <= p1+4 ;SOURCE: dan.frm } Roger Alexander

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FOTD 28-08-10 (Only Halfway There [8])
by Jim Muth 28 Aug '10

28 Aug '10

FOTD -- August 28, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley of a Mandeloid that on the surface is mostly quadratic, but in its depths begins to take on exponent-2.5 tendencies. The central minibrot in today's image has very obvious 2.5 tendencies. Curiously enough, this minibrot is shaped nothing like its parent fractal, which resembles a Mandelbrot set with its main bud squeezed half shut. The rating of an 8 includes a full point for my coloring effort. I tried for a half-hour to make the 8-bit color look like 24-bit, with only mild success. I managed to get the iteration bands subtle enough to be overlooked by those who don't know what the bands are. But in the end I had to face reality -- The bands are still visible. The name "Only Halfway There" could refer to the 2.5 exponent in the generating expression. Or it could indicate that I was only half successful in eliminating the iteration bands. The calculation time of just over 2 minutes will pass in 2.5 flashes. Or the image may be viewed at leisure on the FOTD web site at: <http://www.Nahee.com/FOTD/> Perfect conditions prevailed here at Fractal Central on Friday, with total sun and a temperature of 79F 26C. The few small puffy clouds merely added to the perfection. Both fractal cats were more interested in finding the cricket that eluded them yesterday than the outside weather. FL and I think the cricket scurried under the refrigerator, where most likely it will stay, chirping now and then. Otherwise, my day was good enough. The next FOTD will be posted in 24 hours. Until then, take care, and if someone believes something metaphysical and someone else does not, how do we determine who is right? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Only_Halfway_There { ; time=0:02:09.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=+0.230094628253/-0.004881961422/6.5e+07\ /1/132.5/0 params=2.5/-10/0/0 float=y maxiter=1800 inside=0 logmap=201 periodicity=6 colors=000bHHaGH_GGZFGYFFXEFWEEVDEUDDSCCRCCQBBPBBO\ AANAAL99K99J88I88H77G77F66D66C65C55B55A44944833633\ 522422311211100cUUcUUcUUcUUcUUcUUcUUcUUcUUcUUcUUcU\ UcUUcUUcUUcTUcSUcRSaQS`PR_ORZNRYMQXLPXKOXJOXIOXHOX\ GOXFOXEOXDOXCOXBNXANX9NW8MW7LV6LV5LU4KU3KT2JT1IS0H\ S0HR0HR0GQ0GQ0GP0FP0FO0FO0FN0EN0EM0EM0DL0DL0DK0CK0\ CJ0CJ0CI0BI0BH0BH0AG0AG0AG09F09F09E09E08D08D08C07C\ 07B07B06A06A06906905805805704704604603503503403402\ 302302201201101100000000xtEvrDtpDrnCpmCokBmiBkhBif\ AgdAfc9da9b_9`Z8ZX8YV7WU7US7SQ6QP6PN5NL5LK4JI4HG4G\ F3ED3CB2AA2882761zzzvxzrvzntzmrzlqzlqykpykoyjoxinx\ imwhmwhlvglvgkufjtejseirdhqdhpcgocgnbemaclabk`aj`_\ i__h_YgZYfYXeYWdXWcXVbWUaWU`VT_USZUSYTRXTRWSPVSNUR\ MTQKSUPQUPQUMPUMPULOUKNUKNUJMmNMmNLmMLmMKmLJmKJmKI\ mJImIHmIGmHGmGFmGFmFEmFEmEDwcPwcPwcOwcOwcNwcNwcMzc\ MzcLzcLzcKzcKzcJzcJzcIzcI } 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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FOTD 29-08-10 (The Hidden Jewel [8])
by Jim Muth 28 Aug '10

28 Aug '10

FOTD -- August 29, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is another pretty good one. The rating of a much- above-average 8 is fully justified, though a full point of the rating is earned by the coloring. The name "The Hidden Jewel" refers to the scene in general. The calculation time of 1 minute is very near FOTD average. On its surface, the parent fractal is a normal Mandelbrot set, but in its depths things start to go awry. Today's image is located near the edge of the main negative spike, at the very un-exceptional point of -1.71. At this point the single spike has fractured into an infinity of fractal spikes, which somewhat resemble the train-tracks in the Enola rail yards, located about 75 miles or 120km south of FC. The image may be viewed in its full glory by running the para- meter file included below. An easier way to view the image is to go to the FOTD web site at: <http://www.Nahee.com/FOTD/> and enjoy it in its fully finished splendor there, without the need of calculation. Absolutely perfect weather continued here at Fractal Central on Saturday. Not the slightest trace of cloud marred the blue sky, while the temperature settled at a near-perfect 82F 28C. The fractal cats gave up on the cricket and spent the day watching for stray cats intruding in their yard. (They seem to think it's their yard, even though we never let them go out there.) My day was uneventful, while FL busied herself in the gardens. The next FOTD will be posted in 24 hours. Until then, take care, and I wonder if they have fractals and internet in the hot place down below (AKA hell). If not, then I don't want to go there for a single day, much less for all eternity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Hidden_Jewel { ; time=0:00:59.99-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.716704373310237/+0.00012150036035313\ /7.451509e+011/1/170/0 params=2.5/10000/0/0 float=y maxiter=1800 inside=0 logmap=114 periodicity=6 colors=00000M00O01Q02S03U04W06Y08_0Aa1Cc4Ee5Gf7Hg8\ IhAJiBKjDLkFMlGNmIOnJPoLQpMRpOSqQUqSWrUYrW_sYat_du\ ahvclwepxgryivzlzzrzztzzrvvvrrrmmmhhhcccZZ`UUYPPVK\ LSILPGKMEKJDJGCJDBJAAH79F48D17B5BAKF9UJ8cN7mW6wc5z\ c8vhArcCmUFhQHcPJ`OMbOOcNQeMTgLVhLXjKZlJamIcoIegbf\ dfj`knXprUtuYkaabJcdIefIggIiiIkjImlInmHpoHrpHtrHvs\ HxuHyvHulRrb`oTjlKsmLrnLqnLpoMpoMopMnpNmqNmrNlrOks\ OjsOjtPitPhuPguPguOhuOhuNiuNiuMjuMjuLkuLkuLkuKluKl\ uJmuJmuInuInuInqGlnEjkDhhBfeAebFf_JfXNfURfRVfOZfLb\ fIffFjfCnfArfEneHjeKfeNceR_dUWdXSd_PdcLcfHciDclAch\ ukfnhdhebbbaX_b`YccWdfVeiTelRfoQgrOhuwhxweuwcswaqw\ _owamwcmwemwfmwhmwjmwlmwmmwomwqmwrmznmzkmzhmzdmzam\ zZmzVmzSmzPmzLmzImzFmzBmz8mz5mz2mz6mzAmzEmzHmzLmzP\ mzSmzWmz_mzbmzemzhmzkmzimzgmzezlczkazj_ziYzhWzfUze\ SzdQzcOzbMzaKz`Iz_EzaBzc8ze5zg2zhLzWbzKazN`zP`zR_z\ T_zVZzYYz_YzaXzcXzeWzhVzj } 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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Blades of Grass
by Roger Alexander 27 Aug '10

27 Aug '10

This fractal reminds me of both blades of grass and a kind of seaweed I used to see at the beach where I spent my summer vacations during my youth. I'm succumbing to nostalgia. fract386.gif {;decomp 256 ; blank ; calctime 0:06:02.46 ; created Aug 27, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_a.frm formulaname=AbsArcTangentbrot2 passes=1 center-mag=0.174778/-0.491699/8.115829/1/-32.5000000000000071/3.88578058\ 618804789e-016 float=y maxiter=1500 inside=0 outside=mult decomp=256 colors=0Vwqz7rz7rz8sz8sz8tz8uz9uz9uz9tz9tz9tz9sz9sz8sz8rz8rz8rz8qz8qz7qz\ 7pz7pz7oz7oz7oz6nz6nz6nz6mz6mz6mz5lz5lz5lz5kz5kz5kz4jz4jz4iz4iz4iz4hz3hz\ 3hz3gz3gz3gz3fz2fz2fz2ez2ez2dz1dz1cz1bz1ay1`y1_y1_x1Zx1Yx1Xw1Ww1Vw1Uv1Uv\ 1Tv1Su1Ru1Qu1Pt1Ot1Ot1Nt1Ms1Ls1Ks1Jr1Ir1Ir1Hq1Gq1Fq1Ep1Dp1Cp1Co1Bo1Ao19n\ 18n17n16m06l06k06j06i06h06g06f05e05d05c05b05a05`05_05Z04Y04X04W04V04U04T\ 04S04R03P03O03N03M03L03K03J03I02H02G02F02E02D02C02B02A019018017016015014\ 01300100200300400500700800900A00B00D00E00F00G00H00J00K00L00M00N00P00Q00R\ 00S00T00V00W00X00Y00Z00`00a00b00c00d00f00g00h00i00k00k01k02k03l04l05l05m\ 06m07m08n09n0An0Bo0Bo0Co0Dp0Ep0Fp0Gp0Hq0Hq0Iq0Jr0Kr0Lr0Ms0Ns0Ns0Ot0Pt0Qt\ 0Ru0Su0Tu0Tu0Uv0Vv0Wv0Xw0Yw0Zw0Zx0_x0`x0ay0by0cy0dz1dz1ez1ez1fz2fz2gz2gz\ 2hz3hz3iz3iz3jz4jz4kz4kz4lz5mz5mz5nz5nz6oz6oz6pz6pz7qz7 } frm:AbsArcTangentbrot2 {; Tom Schumm ; Attempt to change the shape of the escape boundry z = Pixel, z = Sqr(z): ; Just like mandel z = z + Pixel z = Sqr(z) imag(z) <= abs(1/tan(real(z))+4) ; Different escape boundry ;SOURCE: phong.frm } Roger Alexander

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Re: [Fractint] FOTD 26-08-10 (Second-Hand Seahorse [8])
by Jim Muth 27 Aug '10

27 Aug '10

At 10:57 PM 8/26/2010 -0500, you wrote: >Jim Muth wrote: >> >> FOTD -- August 26, 2010 (Rating 8) >> At SF5 resolution it finishes in merely 9 seconds. >> >> START PARAMETER FILE======================================= >> >> SecondHandSeahorse { ; time=0:00:08.57-SF5 on P4-2000 >> reset=2004 type=mandel center-mag=-0.1609189519363\ >> 24/+1.036521701914385/8.77e+012/1/28.5/0 params=0/0 >> float=y maxiter=15000 inside=0 >> colors=000..... >> > >Not sure yet why my rendering was so much longer, but it seems a strange >coincidence that my time had similar digits in a different order: >time=0:18:57.00 > Apparently, you calculated the parameter file using arbitrary precision math. I forgot to include the mathtolerance entry in the parameter file, which would force the use of conventional high-speed math. The difference in the appearance of the final image is barely discernable. The similar digits is a coincidence. Jim M.

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Re: [Fractint] FOTD 26-08-10 (Second-Hand Seahorse [8])
by Roger Alexander 27 Aug '10

27 Aug '10

Author: Maryetta Campbell Date: 2010-08-26 10:42 -600 To: fractint Subject: Re: [Fractint] FOTD 26-08-10 (Second-Hand Seahorse [8]) david wrote: > > Jim Muth wrote: >> >> Until then, take care, and where does dark energy >> come from? (Most likely it's simply negative energy!) >> > > Politicians and lawyers. > >Definitely the predominate sources!!! Though a good percentage >probably also comes from various other bureaucrats, and of course >salesmen. Now the source has been identified I wonder about its composition. As it is both pervasive and inert I suggest the following. "Scientists in the UK have discovered the heaviest element known to science. This startling new discovery has been tentatively named Bureaucratium (Bm). The new element has no protons or electrons, thus having an atomic number of O. It does, however, have 1 neutron, 125 assistant neutrons, 75 vice-neutrons and 111 assistant vice-neutrons, giving it an atomic mass of 312. These 312 particles are held together by a force called morons, and are surrounded by vast quantities of lepton-like particles called peons. Since it has no electrons, Bureaucratium is inert. However, it can be detected as it impedes every reaction with which it comes into contact. According to the discoverers, a minute amount of Bureaucratium causes a reaction to take more than four days to complete when it would normally take less than an hour. Bureaucratium has a normal half-life of approximately three years; it does not decay but instead undergoes a reorganisation in which a portion of the assistant neutrons, vice-neutrons, and assistant vice-neutrons exchange places. In fact a Bureaucratium sample's mass will actually increase over time, since with each reorganisation some of the morons inevitably become neutrons, forming new isotopes. This characteristic of moron promotion leads some scientists to speculate that Bureaucratium is spontaneously formed whenever morons reach a certain quantity in concentration. This hypothetical quantity is referred to as the “Critical Morass”." Roger Alexander

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Floral Colors and Fractal Animations
by Roger Alexander 26 Aug '10

26 Aug '10

Today's fractal has both inside and outside radiating arms. The palette high lights the outside=iter coloring. Available ready made at good ole http://maxitersfractalfollies.blogspot.com Did xmission have a processing hiccup earlier? I wanted to reply to Mike Frazier via a thread posting but it appears it didn't get through. Any way I want to say his animation was very impressive and greatly enhances enjoyment of fractal graphics. fract384.gif { ; inside outside arms ; blank ; calctime 0:12:40.61 ; created Aug 26, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=mandel4+n*mandel center-mag=+1.02322052565707100/-0.10319228714524180/966.2956 params=0/0/-3/0 float=y maxiter=1200 inside=0 logmap=34 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 } frm:mandel4+n*mandel { ;p2 determines how strongly the std. mandel should be mixed in (default=1) ;try p2=-3! a=p2,a=a+(|a|==0)*1 z=c=pixel: z2=z*z z=z2*z2+a*z2+c-p1 |z|<127 ;SOURCE: mandhack.frm } Roger Alexander

1 0

FOTD 26-08-10 (Second-Hand Seahorse [8])
by Jim Muth 26 Aug '10

26 Aug '10

FOTD -- August 26, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is another venture into Seahorse Valley, but today we are not in *THE* Seahorse Valley, we are in Seahorse Valley of the large minibrot on the west branch of the filament extend- ing from the large period-3 bud on the north shore of the main bay of the Mandelbrot set. In recognition of this fact, I named the image "Second-Hand Seahorse". Largely due to my coloring finesse, the image rates an 8. (Only my humility prevents me from actually telling how great a color- ist I am!) As is the case with all conventional-math Mandelbrot images that run on the P4-2000mhz machine, today's image is fire- ball fast. At SF5 resolution it finishes in merely 9 seconds. Those who prefer to avoid the risk associated with fireballs may view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Except for a few too many clouds, Wednesday was really a rather pleasant day here at Fractal Central. The high temperature of 77F 25C fell right in the middle of the comfort range, while the reasonable humidity added to the comfort. The fractal cats were more interestred in the new crop of neighborhood kittens, who are just starting to explore the world, than they were with the outside conditions. My day was about average for the end of August. At breakfast FL got a little concerned about the latest poison-egg scare, but I assured her that as long as we eat our eggs scrambled, we will survive. And one thing absolutely certain is that the Mandelbrot set will survive far longer than anyone or anything now alive on earth or on any other planet. As for the next FOTD, it will be posted in 24 hours. Until then, take care, and where does dark energy come from? (Most likely it's simply negative energy!) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SecondHandSeahorse { ; time=0:00:08.57-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.1609189519363\ 24/+1.036521701914385/8.77e+012/1/28.5/0 params=0/0 float=y maxiter=15000 inside=0 colors=000A_tA`uAavAbwAcxAdy9ez9fz9gz9hz9iz9jz9kz9\ lz9mz9oz8pz8qz8sz8uz8wz8zz8zz8zz8zz8zzBrvEorHkmKhh\ NefPaeSZcVWaYS_`PYbMXcOYcPYcRYcS_cUacVcdWedYgdZid`\ kdamdcmedmeemegmehmfkmjnmnqmrtrvvvzxzwuvustsqrrppp\ noomnnlmmkkkjjjhiighhfffeeedddbccaab```___YZZXXYWW\ WVVVUUUSSTRRRQQQPPPONOMMMLLLKKKJIJHHIGGGFFFEDEDCDB\ BBAAA9E98IA7KE5OI4SM3UQ2_U1cYCgWBdUAbTA`R9ZP9XN8VL\ 8TJ7RI6PH6NG5KF5IE7GD8ECCCBGAAK89O68Q47U26YH5`G5cG\ 5eF5dF5cE5bE4`E4_D4ZD4YC4XC4WB4VB3TB3SA3RA3Q93P93O\ 83N82L82K72J72I62H62G51E51D51C41B41A31931820620540\ 46538A5AFACKFDMKEOPFNUGLSFKQEJPDINEGLGFKIEIKCGMBFO\ ADQ9BSAAUC9WECYGF_IIaKLcMOeORgQUiQWgPVfOUeOTcNSbMR\ `LQ_KPZJOXJNWIMUHLTGKSFJQEIPEHNDGMCFLBEJADI9CG9BF8\ AE79C88B979A68B57C45D34E22F11G55HAAIFFJKIKPKLUIM_G\ NeEOgCPgAQgFRgKSfPTfUUfZVfbWeaXd`Yc_XbZWaYU`XS_WQZ\ VOYUMZYK_aI`eG_iEZmCYqAXu } END PARAMETER FILE=========================================

5 4

FOTD 27-08-10 (Third-Rate Seahorse [8])
by Jim Muth 26 Aug '10

26 Aug '10

FOTD -- August 27, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is another venture into a Seahorse Valley. But this time it is the Seahorse Valley of the large minibrot on the western branch of the filament extending from the large bud on the north shore of the large minibrot on the main negative spike of the Mandelbrot set. Though the image is not quite as good as yesterday's, I decided to still give it a rating of another 8. After all, I did put at least ten minutes work into the coloring. The name "Third-Rate Seahorse" is a bit misleading. The image may not be the best ever, but it is above average for an image gleaned from the overworked Mandelbrot set. The name actually refers to the location of the scene -- in a seahorse valley of a minibrot in a seahorse valley of a larger minibrot. There is little more to be said about the image. The thing to do now is to view it in its full glory. This may be done by running the included fireball-fast parameter file, or by going to the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing it in finished form there. With a temperature of 79F 26C, low humidity, and lots of sun, Thurdsay was a near perfect day here at Fractal Central. The fractal cats amused themselves worrying a cricket, which eventu- ally eluded them. My day was average; tomorrow should be the same. The next FOTD will be posted in 24 hours. Until then, take care, and if dark energy comes from politicians, then it must be the hot air from the same politicians that is causing global warming. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Third-RateSeahorse { ; time=0:00:10.77-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7588911601135\ 87/+0.01907600013105257/1.214265e+012/1/4.5/0 params=0/0 float=y maxiter=24000 bailout=9 inside=0 logmap=-2200 periodicity=6 mathtolerance=0.05/1 colors=000P2FQ3GR4HS5IT6IV7IX7HZ7H_7G`7Fa7Ea8Da9Ca\ ABaBAaBBaAE`7G_1FZ3FY5HX6KX7OX8SX9WXA_XBcYCg`DkZIo\ ULsKPzBUzAZzSczhhzbmzXrzRvzLzzGzzu29r38o48l57m67r6\ 7m76m86m95mA5mA5mB4zc4zZ3qU3lK3UC6KB8FAAG9CG8EH7GI\ 5II4KJ3MJ2OK1QK0SO1XR2`U2eY3i`4nc4r`6nY8jW9gTBcRD_\ OEXLGTJIPGPzELIBNE8OB6Q73S31T04fE7tRBzQFzQJpQNzQRz\ QVfQZdQbbQf_QjYQnWQqUQrYOs`NscMtfLuiJulzvozvrzcozM\ lz4jzChzKfzRezZczebzm`zt_zpazmbzjczgdzdezzfDzgCzhA\ zi9zj8zlAznCzpEzrGztHzrJzpKznLzlMzjNzhOzfzzdzzbzz`\ zzZzzXzzczzczzczzczzczzczzczzczzczzczzcHzcIzcKzcLz\ cMzWzzYtz_ozaizcdzeZzgUziOzkJzmEzOXzQzzRzzTzzUzzWz\ zXzzWzzVzzzPzzOzzMzzKzzIzzHzzFzzDzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzOzzNzzLzzJzzHzzFz\ zDzzCzzFzzIzzLzzOzzRzzUzzXzz_zzbzzezzhzzjzzkzzmzzn\ zzpzzqzzszztzzrzzqzzpzzozznzzmzzlzzkzzjzzizzhzzgzz\ fzzezzdzzczzbzzbzzbzzSzzU } END PARAMETER FILE=========================================

1 0

Fire at Night
by Roger Alexander 26 Aug '10

26 Aug '10

Chiaroscuro- a style of visual composition in which there is a strong contrast between light and dark. The map I chose for this fractal suggests bright fire and flame which dominates over a black background. Ready made at http://maxitersfractalfollies.blogspot.com. fract382.gif { ; another fiery map ; blank ; calctime 0:06:34.21 ; created Aug 26, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=M_TchebycnewU7 center-mag=-0.25043759926307860/+0.06465240513559938/1866.203 params=0.238746299630726/-0.02059999389629811 float=y maxiter=1500 inside=0 logmap=24 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm: M_TchebycnewU7 (XAXIS) {; p1 must not = 0 z = p1, c = pixel : z = c*z*(z*z*(z*z*(128*z*z-192)+80)-8) |z|<=100 ;SOURCE: newtchb2.frm } Roger Alexander

1 0

Brite Strands
by Roger Alexander 25 Aug '10

25 Aug '10

Look! Wiggly-squiggly chromatic strands. Another example of the vesatility of the fractint formula parser. If you want to give the floating point unit of your processor a rest go to http://maxitersfractalfollies.blogspot.com for the ready made gif and a bonus jpg. fract378.gif { ; threadedness ; blank ; calctime 0:03:07.35 ; created Aug 24, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=astrd-nr_jul_rjr3 center-mag=0.935569/-0.147609/2.480433 params=-0.891170995208594/0.3318887905514695/1/3/-0.0674153874324778/-0.\ 3227942747276223/90/25 float=y maxiter=1500 inside=0 outside=atan decomp=256 periodicity=0 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } frm:astrd-nr_jul_rjr3 { ; Kerry Mitchell 14nov98 ; ; Kerry Mitchell's explanation of his "Astroid" formulas is ; at the end of formula "Astroid" ; ; colors Julia set by orbit's closet approach to ; a astroid: x^n + y^n = a^n ; ; p1 = c = Julia parameter ; real(p2) = a = size ; imag(p2) = n = exponent ; p3 = center of astroid ; bailout = 1000 (hardcoded) ; rotation angle, degrees = 0 (hardcoded) ; ; colors inside & outside points the same way ; use decomp=256, float=yes, periodicity=no ; zc=pixel, c=p1, iter=1, done=0 bailout=1000, errmin=bailout a=real(p2), n=imag(p2), aton=a^n center=p3, rot=p4/180*pi, rot=exp(flip(rot)) : ; ; standard iteration ; iter=iter+1, zc=sqr(zc)+c ; ; compute difference between actual location and ; astroid location; update minimum if necessary ; temp=(zc-center)*rot x=cabs(real(temp)), y=cabs(imag(temp)) err=cabs(x^n+y^n-aton) IF (err<errmin) errmin=err ENDIF ; ; bailout at escape or maximum iterations ; set "done" flag ; use log(minimum) as angle for decomp coloring ; IF ((|zc|>bailout)||(iter==maxit)) done=1 t=log(errmin) z=cos(t)+flip(sin(t)) ENDIF done==0 ;SOURCE: 98msg.frm } Roger Alexander

2 1

FOTD 25-08-10 (Squarely Cubic [5.5])
by Jim Muth 24 Aug '10

24 Aug '10

FOTD -- August 25, 2010 (Rating 5.5) Fractal visionaries and enthusiasts: The four-dimensional Julibrot is an abstraction, yet a two- dimensional slice through it becomes as real as today's image. In effect, we are getting something from nothing -- a big-bang on a microscopic scale. Today's image is a totally-real oblique slice through the Z^3+C Julibrot. The corresponding point in the Mandelbrot set lies on the southern shore line of the western branch of the northern seahorse-type valley of the parent Cubic M-set. I rated the image at a 5-1/2, with 1/2 point of that for the coloring. The image is mostly of mathematical interest and not all that attractive artistically. The most interesting feature in my opinion is the way the elements stretch out from the central minibrot in four different directions. In the quadratic Julibrot they stretch in three directions, so it is not surpris- ing that in the cubic Julibrot they stretch in four directions. The unlikely values are a sign that the parameters were picked at random by the 'evolver' feature of Fractint. This feature is of great help in finding the very stretchy orientations in the Julibrot, which tend to be quite critical. I have calculated a second version of today's image, in which the central minibrot has been un-skewed and un-stretched until it appears almost normal, but in this image the surrounding elements are stretched almost beyond recognition. The name "Squarely Cubic" refers to the square arrangement of the groups of nine elements surrounding the open area at the center of the image, whatever one might call such an open area. The calculation time of 3-2/3 minutes is brief enough to avoid excessive impatience yet long enough to allow time for anticipa- tion to build. Most of the emotion may be taken from rendering the image by viewing it in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> The clouds here at Fractal Central on Tuesday were made more enjoyable by the temperature of 75F 24C. Only a few drops of rain fell, which were not even enough to dampen the sidewalk. The fractal cats were alert when a stray tomcat wandered into the yard, but after leaving his mark, the intruder moved on without incident. My day became more interesting when the line leading to the bath- room vanity sprang a leak. Leaping to the rescue, I repaired the leak before the water rose above the mop-up stage. All the while FL gave moral support. The next FOTD will be posted in 24 hours. Until then, take care, and what's the latest dope on the Theory of (almost) Everything? Are colliding eleven-dimensional super-membranes still in fashion? (The 'almost' refers to the presumably intelligent minds that are searching for the theory. The last I heard, physicists had neglected to include conscious minds in their everything theory.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Squarely_Cubic { ; time=0:03:42.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0\ /2.249922e+009/0.3167/-86.5401900691157948/86.7595\ 921127404353 params=-93.82766624958037/-144.395622\ 7301859/21.19229285561693/-59.73072481460005/-0.06\ 10232505039753/0.7672163526131864/-0.0610232505030\ 753/0.7672163526131864/3/0 float=y maxiter=10000 inside=0 logmap=505 periodicity=6 colors=000ULIULIVLFWKAZK6aKFeKOiIXmGeqEnrDwqCooChl\ D`jDUgEMdEFaF7_F0aG5cHAeFFgDKi8Pk4Um0Zo5cn9plEwiIz\ gNyeRveQwePucOtdNteMteMraOpZQlWUhTYdQaaMeYJiUGmQDp\ MArJDqMFpPHoRKmUMjWOhZRf`TccVaeY_i`YkbVndUofSrgQsf\ SmeUgcVabXW`YP__JY`DXb7Wc1U`1TY1SV1RS1QP1PM1NJ1MG1\ LD1KA1J71I41H11F32E53C74B949A58C66E65G73I82J86KA9K\ BDKCGKDKLFNLGRLHULLXMP`MUcMZgMcjOhnRmqWrt`vhfzYlzM\ lzBkz0ky1jx2iw3hv4gt5es6bm7Zg7Va6T_6Q_6OY6LX6JW5GW\ 5EV5CV5DU5EU4DT4ET4FS4GS4HR4HR7IQAJPDKOFLNIMMLNLOO\ KePJpQIWRHZSG`TFZUIXULVbzTNzSUUQUXPU_OUXcggKTQJTNH\ SKGSHESECRADOBERDFREGRGINHJRJKRKLRMNRNORPjURbU7`UC\ _UIYUNWUTVcYTczSdhQdmOesbazabz`c6cc7cd8ceAceBcfDcg\ EcgFchzciIciKcjLckMckOclPcmRcmSmnTmoVmoWmpYmqZmq_m\ ramsbmtdzu3zv4zw5zx6zy8zz9zzAzzBzzDzzEzzFzzGzzIzzJ\ zzKzzLzzMzzOzzPzzQzzRzzTzzUzzVzzWzzYzz6zzAzzFzzJzz\ NzzSzzWzz`zzdzzhzzmzzqzzv } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

Fractal of the Day RSS feed enhanced
by Richard 24 Aug '10

24 Aug '10

I finally figured out how to include Jim Muth's musings and a thumbnail of the rendered image in the description of the item. <http://www.xmission.com/~legalize/fractals/fotd/fotd-rss.xml> -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> Legalize Adulthood! <http://legalizeadulthood.wordpress.com>

3 10

Blue Six
by Roger Alexander 23 Aug '10

23 Aug '10

Today's fractal has six radiating arms with a bluish map. To prove it without investing in the required calculating time go to our good friend http://maxitersfractalfollies.blogspot.com. On a completely unrelated note why are the spammers trying to sell me watches? I don't need a Rolox! Nice try fellas... fract376.gif { ; radiating arms ; blank ; calctime 0:02:52.14 ; created Aug 22, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=julhack.frm formulaname=j_cplxspirals2 center-mag=0.0605757/0.334558/18.93939 params=0.141026032288583/0.1265602587969604 float=y maxiter=1200 inside=0 logmap=17 colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\ W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\ r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\ zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\ zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\ zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\ z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\ z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\ z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\ e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\ I00H00G00F00E00D00C00B00A009008007006005004003002000000 } frm:j_cplxspirals2(XAXIS_NOIMAG) { ;default for p1=0.08, the critical value is ~0.0712342 ;very good for decomp too!! p=p1,p=p+(|p|==0)*0.08 z=y=pixel: z=z*z+y+p y=z/y*p |z|<100 } Roger Alexander

1 0

FOTD 24-08-10 (Seahorse Splendor [8])
by Jim Muth 23 Aug '10

23 Aug '10

FOTD -- August 24, 2010 (Rating 8) Fractal visionaries and enthusiasts: Now and then I like to return to the grandaddy of all fractals, the Mandelbrot set, to show that it still holds some surprising scenes, even at the depths reachable by conventional math. The name "Seahorse Splendor" came naturally, perhaps a bit too naturally, since I did not check to see if I have used this same name previously. The image lies on the eastern side of the northern branch of Seahorse Valley at a depth of 6*(10^10), which is not all that deep. It is also one of the fastest images of all time. I found it in under 5 minutes, and in S-F5 video mode, it takes a whopping 2.8 seconds to finish on the P4-2000mhz machine. I did put some extra effort into the coloring, but it was worth it. The image rates an 8, which is quite high for just another scene in Seahorse Valley. The image may be viewed in all its glory by running the included parameter file or by viewing it in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> The skies were cloudy and a few drops of rain fell here at Fractal Central on Monday, but the lack of sun put no damper on the moods of the fractal cats, who seemed quite happy about the pleasantly cool temperature of 75F 24C. In my department things were under control also. The next FOTD will be posted in 24 hours. Until then, take care, and it's hard to put your finger on the universal electron. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Splendor { ; time=0:00:02.80-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.7454233979438\ 455/+0.1130116239751243/6.270326e+010/1/165/0 params=0/0 float=y maxiter=6000 inside=0 logmap=522 colors=000KcmKcmKcmKcmKcmKcmKcmKcmKcmKcmKcmKcmKcmK\ cmKcmKcmKcmKcmKdlLemMfmNgmOhmPimQjmRkmSlmUmmVnlWok\ XpjVqlTrnRsnPtoNupKvqHvsEvuAuvAtvAsvAsvBrvBqvBpwBp\ wCowCnxCmyClzIkzOjzUiz_hz_gz_gz`hzaiz`jz_kzZlzYmzU\ nzQozMpzIqzJrzKszMszOrwQptSmqUinWemYam_YmaUmcQmeNh\ gKciHZkEUmAPlAKkAFjACi9Hh9MgARfBWeB_eFfeImeJo`KqXK\ pSKoOKnJKmDKl8Kk3KjCKaKKUTKL`LDhO5jP6kQ6lR6mU6mW6m\ Y6m_6ma6mcHmdSmePmfMmgKmhHmgFmfCmeAmdFmcKmbXma_m`b\ m_emZhmYknYnmYolYmkYkjWiiUghSedQcaP`YOYVMVULSSJPQI\ MNGJJEGHDDGBAGDAHFAIH9JK89M89O98P97Q97SA6TA6UABXAF\ ZAJ`ANbASdAWfA_hAcjAhlAlnAppAtrAjqD`pGRoJHnM8mP7iS\ 6fV6cY5_`4Xc4Uf3Qi2Nl2Kn5Ll7Mk9NjBOiDPhFPgHQeJRhLS\ kNTnPUqRUtTSwUSzVTzWUzYVzZWz_Xz`_zbZzc_zdazecz`ezX\ gzSizOkzJmzFozBqzNtzYwzXyzXzzXzzXzzWzzWzzWzzWzyVzx\ VzwVzvVzuUzuUztUztUztZzpbzlfzhjzenzarzYvzVszUpzTnz\ SkzSizRfzQdzQazP_zOXzOVzN } END PARAMETER FILE=========================================

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FOTD 23-08-10 (Bio-Morph on the Move [7.5])
by Jim Muth 22 Aug '10

22 Aug '10

FOTD -- August 23, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's scene features beyond a doubt the most unlikely minibrot I have ever stumbled upon. The image is located in the East Valley area of the large minibrot on the main stem of the parent fractal, which is a grossly oversized Mandelbrot set with deep personality problems. (For a very interesting trip, reset the logmap to zero and take the trip back out to the parent M-set. The scenery along the way is quite unusual.) The name "Bio-Morph on the Move" probably arose when I noticed that the image somewhat resembles a fantastic bacteria. The rating of a 7-1/2 is totally earned by the shape of the image. I put almost no effort into the coloring. The calculation time of 7-1/3 minutes is admittedly a bit slow. So to save time I recommend viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Sunday here at Fractal Central began with a steady rain, but the rain came to an end before noon, after adding up to just over 1 inch or about 3cm. While the rain fell, the fractal cats enjoyed the dryness they found indoors. By 3pm the sky cleared and the sun appeared which sent the temperature to a pleasant 82F 28C. The latter part of the day was as uneventful as the first part. The next FOTD will be posted in 24 hours. Until then, take care, and every time I dream I'm in the fourth dimension, I remember only three-quarters of the dream when I wake up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bio-MorphOnTheMove { ; time=0:07:21.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip center-mag=-349.3239392263152/+0.08511431068233609\ /6.198391e+008/1/-152.5/0 params=2.5/200 float=y maxiter=1800 inside=0 logmap=1507 periodicity=10 colors=000m2Vf9Q_GLTNHMUCF`79g3BgCCgLEgTFgaGgiLDmM\ JmNKmOLmPMmQNmROmSPmTQmURmVSmWTmXUmYVmZWm`XgbXadYW\ eYQgZKiZEk_8l_3kb4jd4jf5ih5zm6zp6zs7zw7zz4AJGYcQZk\ UWgQSaMNVIBPF8JB5C7263nu1PT09gY4MHPkaKcVGWPCOJ8GC4\ 86ILfFI`DFWBDQ9AL67G45A225TcNLUHEKB7A5p4ru3dp2Rp1D\ uKWlHRmEMcBIc8DU59U24UlWPcQKWLFOGAGA585KTfGOZDJSAE\ L69E347eHzZPmSPmLPmE54722j6Wv1xm0oe0fX0YP0QG0H808V\ HfQE_MCUH9OD7I84C426ai7Wb6RW5LQ4GJ3AD25614rd3gW2XO\ 1MG0B8T9rO7hJ6_E4R93I419JNvGJmDGeADX89P56G238A7P86\ L75I64F53C329216103Iy89V4XZgSU`NPVIKPEFI9AC4568kZ6\ aS4SL3JE197UjwKVcAFK2nL1aF1PA0C5aYWXTSSPONLKJHGECC\ 988444KgJG_FDTCAM96E6373LveHlZEbSioLonPumThcMWVGJM\ 97D3IEDTFNcGXnHfyHo9oJdvNirLmnJqjIib`jZWkVSlROmOJn\ KFoGBoD7nKLmRYlYkkcxyHTtIXoI`kIdfJhbJlYJpUJsC`Jpt6\ njBmaFkSJjJNiQCiW1aOGVHUOAgH3uH5nH6hH7bH9XHARHBLJA\ NLAPN9QP9SR8US8VY6Vb5Vh3V } 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 22-08-10 (Burgundy Zexpe [7])
by Jim Muth 21 Aug '10

21 Aug '10

FOTD -- August 22, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image rates a 7 -- nothing wrong with that! It's a scene in the Zexpe fractal calculated PI levels up the log ladder. This parent fractal has two main buds, one on the southeast shore of the main bay, the other on the northeast shore. The northeast bud is more of a cove than a closed-off bud. Today's image lies rather deep in a valley on the north side of this northeast cove. I named the image "Burgundy Zexpe". The deep red colors of the six radiating arms remind me of the color of that wine made in France. The rating of a 7 is just far enough above average to be interesting. The calculation time of 1-1/4 minutes will pass in a flash. The flash may be avoided by flashing out to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Saturday was a day of nothings here at Fractal Central. It was not sunny; it was not cloudy; it was not hot; it was not cold; it was not wet, nor was it dry. The sky was a hazy white color, with a blurred sun filtering through. Exactly three drops of rain fell, while the temperature was a perfectly average 84F 29C. The fractal cats had an average day, which means checking for intruding cats every so often, eating, playing, and sleeping. My day was average also, as was FL's. The next FOTD will be posted in 24 hours. Until then, take care, and search for the secret key. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Burgundy_Zexpe { ; time=0:01:14.54-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.9202794160124455/+0.3485306379947302\ /1.979387e+012/1 params=2.71828182845905/0/3.14159\ 265358979/0 float=y maxiter=2400 inside=0 logmap=165 periodicity=6 colors=00065d77e89f9BgADhBFiCHjDJkELlFPmESlEWjD_hC\ bfCfdBjbBmaDi_FeZGbXIZWKWULSTNPSPLQQHPSENUAMV7KX3J\ Y0IV1HT2HR3GP4GN5FL6FJ7EH8EF7DD6DB5DB0HF0KI0NMCRQD\ UTDXXD_`DccDfgEikEmnEprEsuEvnLqhSlbZgXebRlYLsUOrUQ\ rUSrUUqUWqUYqZ`pcbphdpmforhozjozhhzgazfVzdOzcHzbBj\ cFfcIcdL`dPXeSUeVReYOfaKfdHggEgkAhn7hq4ht1gp3fm5ej\ 7dg9ccBb`DaYF`VH_SJZOLYLNXIPWFRVCTUMSTVRScQRlPQuOU\ vSXvW_vZbwbewehwikxmnxpqxttxwksqcnkWieNd_F_U7VOIQM\ TMKcHInDGx9Eo6Gg3I_0J_4L_8M_CN_GO_KP_OQ_RR_VT_ZU_b\ V_fW_jX_nY_qZXgjUYtVZuV_uV`uWavWbvWcvWdvVgdRgPViOY\ jN`kMclLfmKinJloJefFdR7hR5iWBi`HieNdhL_kJVnIQqGLtF\ GwDCyCz`UmCjmBbmAWm9Pm8Hm7Am73mIBzTJzbRzmZzwfWx`Rz\ VzzQGzKBzFzzLIzQMzWzz`MzaJzazzbzzbzzbzzczzc1zczza6\ z_zzYBzWzzU5zqzzYhzbzzgizlzzpzzfzzdzzbzzazz_zzYzzX\ zzQzzUzzXzz`zzczzfzzjzzmzzhzzlzzpzzczzzzzszzlzzezz\ fzzfzzgzzgzzhzznzzhzzbzzX } 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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Blue Convolutions
by Roger Alexander 21 Aug '10

21 Aug '10

Seeing as today's fractal in the original gif form is as sparklie as 4th of July fireworks I immediately knew I had to re-sample it. Gif and jpg available at http://maxitersfractalfollies.blogspot.com. fract375.gif { ; blank ; blank ; calctime 0:17:07.54 ; created Aug 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_i.frm formulaname=IkenagaPwrJul center-mag=2.79251/2.6067/0.3254414/1/50.0000000000000071/-1.23373533611\ 470521e-014 params=-0.1857051301614429/0.3055207983642079/-0.004425183874019594/0.40\ 59877315591907 float=y maxiter=1200 logmap=14 invert=0.186071352275155/-0.52500991851558/-0.168614764854885 colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:IkenagaPwrJul {; from Jon Horner - asymmetric ; try p1 = (0.035, -0.35), p2 = 2 z = pixel, c = p1: z = z * z * z + z * (c-1) - c ^ p2 |z| <=4 ;SOURCE: ikenaga.frm } Roger Alexander

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FOTD 21-08-10 (The Twin Peaks [6])
by Jim Muth 20 Aug '10

20 Aug '10

FOTD -- August 21, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's scene is located in an area of anti-bifurcation in the large minibrot on the west branch of the filament extending from the large northern bud of the parent almost-Mandelbrot set. This large minibrot is in the process of morphing from quadratic to order-6. The much tinier minibrots in the image have completed the change and are of purely order-6 nature. The thing that caught my eye is the area at the center of the frame, where the basins of two minibrots have blended into a single oblong gully with a saddle- shaped ridge at the center. The whole thing sounds a bit more impressive than it looks however, so I could rate the image no higher than a 6. The name "The Twin Peaks" is rather misleading. Actually, the two minibrots lie at the centers of basins, so perhaps I should have named the image 'The Twin Basins'. Most of the detail was achieved by rendering the scene with the outside set to 'tdis', which colors the points according to the total distance they travel before escaping. The calculation time of 33 seconds is brief by any standards beyond those of the sub-atomic realm, so little time will have been wasted if the calculation results in disappointment. The way to avoid all waste is to view the already-calculated image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Things began warming up here at Fractal Central on Friday when the temperature reached 88F 31C. The fractal cats complained about the sun that is now striking their cool kitchen floor a little longer and stronger every day. In my department things went well enough. If all continues to go well, the next FOTD will be posted in 24 hours. But if the antiquing bug bites, it could be delayed 12 hours or so. Until whenever, take care, and if we are emergent phenomena, where were we before we emerged? If the answer is 'nowhere', then what is the chance of each particular individual conscious mind ever coming into existence at all? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Twin_Peaks { ; time=0:00:33.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-0.1603922722475426/+1.037581962846677/\ 1.920161e+010/1/-40/0 params=6/50000/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=000OZOPYMQWKRUISSGTQEUQATPCSODRNFQMGPMHOLJN\ KKMJMLINKIOJHQIGRHFTGEUFEVEEWDDXDDXCCYBCZBC_AB`9Ba\ 9Ba8Ab7Ac7Ad69e59f59f6Ae7Bd7CcKRL8Db8Da9E`AF`AG_BG\ ZBHYCIXzzzzzzzzzyzzyzzyzzxyzxxzwwzwvzwtyvrxtpwqnun\ lskjqggmdej`cgY`dUZaRXZNVWKTTIQQGNmEKmUazPXz4qz7le\ AhaCdYF_UIWQ48G69H7AI9BIACJCDJDEKFFKGGLIHLJIMi70g8\ 1f82e93d94cA5bA6aB7`B8_B8ZC9YCAXDBWDCVEDUEETFFSFFR\ FGQGHPGIOHJNHKMILLIMHaPI`OI_OIZO9Q78U87Y97`A6dB5hD\ 5kE4oF3sG3vH5rL7oO9lRAhUCeYEb`GZcHWfJTjLPmNMpOJsNM\ pNPnNRkNUiNWfNZdN`aNc_NeYTbUY`QbZMgXIjUElVFnVGoVGq\ WHrWHtWIuWIsUJrSKqRKpPLnNMmMMlKNkJNiHOhFPgEPfCQdAR\ c9Rb7Sa6Sb7Vc7Xd7_d7ae7df7fg7ig7kh7ni7pj7sj7uV2lNH\ mFVm8hmXVfuH_qIYnJWkKUhKSeLQbMP_NNXNLUOJRPHPRIOPGO\ NFOLDOKCNIBNG9NF8ND6MB5MA4M82M61M50P64R77T8AV9EXAH\ ZBK`COcCReDUgEYiF`kGcmHgoIjxCoqImkOldUjZZiSdgMjfGo\ eHmcIkaJi_KgYLfWMdUNbSN`Q } 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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FOTD 20-08-10 (From Epsilon to PI [7])
by Jim Muth 20 Aug '10

20 Aug '10

FOTD -- August 20, 2010 (Rating 7) Fractal visionaries and enthusiasts: On Thursday I was occupied with the 'Zexpe' series of formulas (formulae is the plural word for the over-educated) and tried one of my own. Using the MandelbrotBC3 formula, I checked to see what the Zexpe fractal looks like at a level of PI steps up the complex logarithmic hyperladder. The parent fractal that I found there looks pretty much like the minibrot at the center of today's image, though it is rotated 180 degrees, and as today's image shows, it is quite interesting in its depths. Today's scene lies in a valley of its parent that corresponds to the small valley near the center of the eastern shore line of the main bay of the minibrot at the center of the image. The rating of a 7 means I consider today's image to be a bit better than yesterday's, yet nothing to get over-excited about. The name "From Epsilon to PI" fairly describes the math behind the image. The calculation time of 1-1/2 minutes is fast by any standards. But viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> is less work and more fun. Perfect weather prevailed here at Fractal Central on Thursday -- sunny skies, low humidity and a temperature of 84F 29C. The fractal cats had a thrill when a very loud fight broke out between two cats in the yard next door, but they seemed a bit disappointed when one cat, presumably the loser, made a cautious retreat before the dispute could escalate to physical violence. My day was slow, which gave more time to waste before searching for fractals. The next FOTD will be posted in 24 hours. Until then, take care, and I found a mind lying on the basement stairs. Did anyone lose theirs? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= From_Epsilon_to_PI { ; time=0:01:28.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.1738289076076641/+0.3463464790189864\ /9.098551e+008/1/152.5/0 params=2.71828182845905/0\ /3.14159265358979/0 float=y maxiter=3600 inside=0 logmap=129 periodicity=6 colors=000E28F3BG4EH5HI6KJ7NK8QL9TMAWNBZOCaPDcQEcR\ FcSGcTGcUGcRGcOIcKJcIJdGJeEJfCKgAKh8Kk6Kn7Lq8Nt9Qw\ HTzRVzZ_ybcxgfxlgzoiqshkvddwVZmNScHLU6F4sbBpVHmONj\ HTgAZd3`jBcoJmuRzzY4EA5FG5GM6HS6HY7Ic7Ji8Ko8KuAYoC\ kiEydKs`QmYWgVcaRjWOrRLkPHdOEYNAQM7JL4EI3AG2JFBSEK\ aDTjDagHZeKXcNUaQSZUQXXNV_LTbJQdLOeNMgPKhRIiTGkVEl\ XCmZAo`8pb6qd4sf2th0uj3rk5pk8nkAlkCjkFhkHfkJdkMalO\ _lRYlTWlVUlYSl_QlaOlcPjdQieRggSfhTeiUcjVblV`mW_nXZ\ oYXqZWr_Us`Tt`StZPtXNtVLtTJtRHtPEtNCtLAtJ8tH6jE7aB\ 7T87J57A271070039yy8tt7pp7kk6gg5bb5ZZ4VV3QQ3MM2HH1\ DD188044PYuNVpLTlJQhHOdGL`EJXCHTAEO8CK79G57C348124\ 3oS2bL1QE0D7upgpkckg_fbXaZTXUPTQMOMIJHEEDB987443w1\ mw0hw0cx0Zx0Ux0Px0Ky0Fy0Ay05yI5zC3z6zzEszCzzBhzAzz\ 8Zz7zz6Pz0zzE9zDzzDAzDzzDCzCzzCEzUzzCFzUzzKCzUzzR9\ zUzzY7zUzzk9zUzzbIzUzzTRzUzzNSzMzzLMzKzzIHzHzzGBzF\ zzJGzNzzMTzLzzLdzKzzJpzJz } 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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Scales
by Roger Alexander 19 Aug '10

19 Aug '10

The scaled appearance of today's fractal is a result of using outside=tdis. Animal,vegetable, or mineral? The cool cyan of the palette was meant to suggest the crystalline organic. Gif and anti-aliased jpg posted at http://maxitersfractalfollies.blogspot.com. fract373.gif { ; fract371.gif remix ; blank ; calctime 0:10:24.44 ; created Aug 18, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=quadros_rjr_b function=sin/sqr center-mag=3.40426/-0.400668/0.3333333 params=-0.5617542039246803/-0.9863277077547532/-0.7856990264595477/0.467\ 574083681753/0.2355113376262703/0.07028412732322153 float=y maxiter=1500 bailout=1200 inside=0 outside=tdis colors=00Kbuvcwwdxxfzzfzzeyydyydxxcwxbvwavwauv`tv_tuZsuYrtYqtXqsWpsVorVo\ rUnqTmpSlpRloRkoQjnPjnOimOhmNglMglLfkLekKejJdjIciHbhHbhGagF`gE`fE_fDZeCY\ eBYdAXdAWc9Wc8Vb7Ub7Ta6Ta5S`4R_3Q_2PZ2PZ1OY0NX1NX2OY3PY4QZ5R_6R_7S`8Ta9U\ aAVbCWcDXcEYdFZeG_eH_fI`gJagKbhLciMdiNejOfkPgkQhlRhmSimTjnUkoVloXmpYnqZo\ q_pr`qsaqsbrtcsudtueuvfvwgwxhxxiyykzzjyyixyhwxgwxfvweuvdtvcsubrtart`qs_p\ sZorYnqXmqWmpVloUkoTjnSinRhmQhlPglOfkNekMdjLciKciJbhIagH`gG_fFZfEZeDYdCX\ dBWcAVb9Ub8Ua7Ta6S`5R`4R_3QZ2PZ1OY0NX1NX2OY3PY4QZ5R_6S`7T`8Ua9VbAWcBXcCY\ dDZeE_fF`fGagHbhJciKdiLejMfkNglOhlPimQjnRkoSloTmpUnqVorWprXqsYrtZsu_tu`u\ vavwbwxcxxbwxavw`uvZtuYrtXqtWpsUorTnqSmpRkoPjnOimNhmMglKfkJdjIciHbhFagE`\ fD_fCYeAXd9Wc8Vb7Ta5S`4R_3QZ2PY0NX1OX2PY3QZ4RZ6S_7T`8Ua9VbAXbBYcDZdE_eF`\ fGafHbgIchKdiLejMfjNgkOhlPimRjnSlnTmoUnpVoqWprYqrZrs_st } frm:quadros_rjr_b {; ba and rjr y2k03 ; As posted in Fractal-Art, 4/28/97 z=fn1(pixel+abs(p2))/fn2(pixel+abs(p3)): z=p1*sin(z) |z| <= 100 ;SOURCE: 97msg.frm } Roger Alexander

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FOTD 18-08-10 (Zexpe Thing [7?])
by Jim Muth 19 Aug '10

19 Aug '10

FOTD -- August 18, 2010 (Rating 7?) Fractal visionaries and enthusiasts: Today's image is a scene in the 'Zexpe' fractal, the Mandeloid created by the formula Z^(epsilon)+C. I think the fractal was given its name by Lee Skinner, who did quite a lot of work with this fractal a number of years ago. The Zexpe fractal rather resembles the cubic Mandelbrot set, though the two main buds are shifted well around toward the negative X-axis. The most interesting part of the Zexpe fractal however lies at the western edge of the main bay, near the X-axis, where all kinds of chaotic things happen. Today's image lies in a phantom valley in a larger minibrot in this chaotic area of the parent Zexpe fractal. It is is a good example of some of the strangeness found there. I named the image "Zexpe Thing", which is what it is. I rated it at a 7?, which is what I think it's worth. The question mark implies that the image might not be entirely of my own creation. The calculation time of 5 minutes is a small price to pay for an enjoyable image. And those pressed for time may always view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Today's image may owe more to Lee than meets the eye. The image is a zoom into an old image, which I found on a floppy disk that had been stored away for over 10 years. I might have taken that old image from the CD of fractals that came with the second edition of "Fractal Creations". I long ago misplaced that disk. Lee produced many Zexpe images for that CD, and the old image that I found on the floppy disk was created by a formula named 'Zexpe', which I do not have in my files. (I had to make a para- meter file of the original image and edit it so that it would work with the manzpower formula.) The colors are of my own invention however. Now on to what you have all been waiting for -- the weather! Actually, some very pleasant weather prevailed here at Fractal Central on Tuesday, with an azure blue sky decorated with angel- hair cirrus and cottonpuff cumulus clouds, lower humidity, and a temperature of 84F 29C. Nicholas, the oversized all-black gentleman fractal cat, enjoyed the conditions from the top of the secretary, while Cassie, the petite gray lady fractal cat, chose the top of the side-by-side, next to Nicholas. I found my enjoyment in the workroom, where the day's work went unexpectedly smoothly. If all continues going well, the next FOTD will be posted in 24 hours. If not, then look for it anyway. Until then, take care, and when the world ends, will fractals still exist? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_Thing { ; time=0:05:03.10-SF5 on P4-2000 reset=2004 type=manzpower passes=1 center-mag=-0.7104986483027282/+0.077324933946310\ 76/2.344236e+007/1/-97.5/0 params=0/0/2.7182818284\ 5905/0 logmap=381 float=y maxiter=4200 inside=0 colors=000mavnbvnbvobvpcvpcvqcvqdvrdwsdwsewtewuewu\ fwvfwvfwtetsdrrdopcmocknbhnafmacm`am`_m_XkZVjZSiYQ\ hYOlVNoTMrRLrPKrNJrLIrJIrKHrLGrLFrMFqMEnNDlNCiOCgO\ BdPAbP9_Q9YQ8UR7RR6NS6KS5GT4ET4GS8ISBKSEMRHORLQROS\ RRUQUWQXYQ`_PcaPfcPiePmgOpiOskOvmOyXLkHJYMTXRaXWkW\ `tWbnTdhRfbOhXMjRKlLHnFFp9Dn9Gl9Jj9Mh9Pf9Sd9Vb9Y`9\ `Z9cX9fV9iT9lS9n`EhhJcqOYySTxR`wRhtSfrSepScnSblSaj\ S_hSZfSYcTWaTV_TTYTSWTRUTPSTOQTNRRQRQSSPUSOWSNZTM`\ TLbTKdUIgUHiVGkVFmVEpWDrWCtWBvXFpYJkYNfZRaZVX_YR_a\ M`eH`iCam7ap2VtROxoPtnQpmRlmRhlSdkT`kUXjkPUgXpUHdX\ HgXDgWFfKHfUIfTKfSMfRNfQPfPReOSeNUeMWeLXeKZeJ`eIaz\ HczGezFfzEhzDjzDkzCezB_zAVzAPz9Jz8Ez78z73E84F85G96\ H97IA8JA9KB9LBAMCBNCCODDPDEQEEREFSFGTFHUGIVGJWGJXH\ LWLNVPOUUQVZSZcTchVhmXmrYrvXvzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzz9zz9zzAzzBzzDzzDzzFzz\ Izzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Looping Lines
by Roger Alexander 19 Aug '10

19 Aug '10

Today's post is a incandescent newton which curving looping lines echoes the Art Noveau movement. Fractint is equally capable of emulating the angular geometry of the Art Deco design. Fractint, a graphics program for all seasons. Ready made gif available at http://maxitersfractalfollies.blogspot.com with a bonus resampled gif in jpg form. fract369.gif { ; crazy newtons ; blank ; calctime 0:01:38.59 ; created Aug 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=crazynwt.frm formulaname=Newton5fn function=cosxx center-mag=0.13277/0.211484/1.279251/1/40.0000000000000284/-8.8672125198\ 0304714e-014 params=3.477034821619312/2.117496261482589/1.95089571825312/3.5909298989\ 83734 float=y maxiter=1500 inside=0 outside=imag cyclerange=1/1 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:Newton5fn { z = pixel+1/fn1(p2 * pixel-p1) : z = (4*z^5+1)/(5*z^4) 0.001<=|z^5-1| ;SOURCE: crazynwt.frm } Roger Alexander

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FOTD 19-08-10 (Nearly Quadratic [6])
by Jim Muth 18 Aug '10

18 Aug '10

FOTD -- August 19, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Almost Quadratic". The reason is that the exponent of Z is 2.01, which is almost quadratic. The parent fractal is a Mandelbrot set, no surprise there, but this set is rotated 180 degrees, so that East Valley is on the west side of the main bay and the main spike points east. Both East Valley and the main spike have split into fractalized pieces, with the greatest distortion on the southern branch of Seahorse Valley and the southern shore of the large period-2 bud. But the Seahorse Valley distortion is an FOTD for another day. Today we are concerned with the things happening to East Valley, which has broadened into a wedge. Today's image lies in a curious patch of debris near the northern edge of this wedge. All this strangeness might appear good in writing, but on the screen, even when helped by the 'tdis' outside option, it makes an image that I can rate no higher than a 6. The calculation time is a borderline slow 5-1/2 minutes. The best way to avoid the wait is to rush carefully to the FOTD web site at: <http://www.Nahee.com/FOTD/> and view the finished image there. Lots of clouds, a little sun and a temperature of 82F 28C made Wednesday a rather pleasant but uneventful day here at Fractal Central. The fractal cats were not concerned with the outside weather however. Nicholas somehow worked open one of the high unused cabinets in the kitchen and disappeared inside for a couple hours during the afternoon. Cassie checked the space but decided not to go in. In my department, things were about average. The next FOTD will be posted in 24 hours, and that certainly is average. Until then, take care, and if all electrons are exactly the same, how can we distinguish one from another? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nearly_Quadratic { ; time=0:05:23.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.258603580125043/-0.00230274752051391\ /2.985925e+008/1/166/0 params=2.01/0/1.5/0 float=y maxiter=4200 inside=0 outside=tdis periodicity=6 colors=000RbBUb3ZZ6bW9fSCjPEcYNYfWRodLxmOqnQjnTdnV\ YnXSnUWoRZpPbqMerKhrLkdMnRMpDOoJPnPQmVRl`SkfTjlUir\ ViwjSmzAcsDbmFagIa`K`VN_PP_MRXF3PD5MFQPDDMBBJ99HD4\ GHDFK2EG8LCDR8IXGPYNVYUaY`gYgmYifUj_RlTOmMKoFHp8Eq\ 1cT8zpjzo9zkZzgUzd8z`8zX7zU7`Q7_N7ZR9VVARZCOacKeEG\ iGDmH9pI6qP7qV8ra8rg9rm9nnEjnJfnNbnSZoXVo`RoeNoiLq\ eKraIsZHtVGuREvODwKCxH6tJ1pK5qH9rFDsDHsBIlGIeKIZOI\ SSILWIE_I7cI0gN8hRFiVMi_Tjc_jgfkkmkjniiohipghqegrd\ gscilbjebkZbg`ZcbW_dTWeQSgNOiKKkHHlEPnHWoKcqMjrPqs\ RvL7nK9gKA`JBUJCMIDFIE8HF1HG7myPdefXNwP4oV4g`4_e4W\ b8S_BOXELUHHRKDONALQ9KV9K_8Jd8Ji7In7Is7IwaG9YLBVQD\ SVEPZGMcHJhJGlK9kK2kK5mP8nUBpZEqbHrgKtlNuqQvucx_py\ Er6df5WaE`YNdTWhPclWcOYVK_MHaDEc5B`L83YvG`mTcddeWf\ aZhY`jVclRemOgVbZCqQEpSGoUInWJmYLl_NkaOkcTldXle`le\ dlfhlgllgplhtlhsjarhVrgOqeHpcApb3jZBeVI`SQWOXQKcLH\ kGDrBAygOSl`_qmgkgeKeTNcJ } 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 17-08-10 (Creepy-Crawlie [6])
by Jim Muth 16 Aug '10

16 Aug '10

FOTD -- August 17, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image has a bluish, creepy-crawlie tentacled blob in the middle. And the creepy is surrounded by other smaller creepies. I had almost no choice but to name it "Creepy Crawlie". Actually, the image was created by the 'manowarj' formula, one I very rarely turn to. An equally unlikely aspect is the use of the 'invert' feature, another one I very rarely even try out. A good part of the image consists of 'inside' stuff made visible by the 'fmod' feature, a feature I sometimes make good use of. But all these things together created an image that rates a 6, so I let it go as the FOTD for August 17. If the colors had not been so wildly gaudy, I might have rated it higher. Actually, those who enjoy fractals that over-stimulate the optic nerve may consider the image worth a 7 or 8. With a running time of under 33 seconds, calculating the image will waste little time that might have been put to better use elsewhere. An equally good way to save time is to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Another warm and muggy day passed unappreciated here at Fractal Central on Monday. When the temperature reached 90F 32C, the fractal cats glued themselves to the cool floor and didn't get up until hunger got the better of them. Meanwhile, my day was comfortably uneventful. The next FOTD will be posted in glori- ous full color in 24 hours. Until then, take care, and show your care. Give a handout to a homeless fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Creepy-Crawlie { ; time=0:00:32.56-SF5 on P4-2000 reset=2004 type=manowarj center-mag=0.362719/-0.94\ 923/0.257163/1/12.5/0 params=0/0.01 invert=0.3/0/0 float=y maxiter=255 inside=fmod proximity=0.007 periodicity=0 colors=000F9SGATHBUICVJDWKEXLFYMGZNH\ _OI`PJaQKbRLcSNdTPeVRgWTiYWk_Zm``obcqdesfguhiwijxj\ jyjjwiithgqfendckcaha_e`YbZW_XUXVSUTRRSQORPLQOIPOF\ OOCNO9MO6LO4KP3KR3JT4JV5IY5I_6Ha7Hc7Ge8Gg9Fi9FjAFi\ 9Gg9Ge8Hc8Ha7I_6IY6JW5JT4JR4KP3KN3LL2LK1MJ1MI0LJ3L\ K6KNAKQDJSGIVJHXMH_QIbTJdWKgZLjaMldNohOqkPqnQqkRoh\ SleTjaUgZVdWWbVX_UYYUZVU_SU`QUaNUbLUcIUdFUeFUfFUgF\ UhFUiGUjGUkGUlGSmGQnGOoGMpGKqHIrHGsHEtGCtGAsG8qG6o\ G4mG2kG0hH0fI0cJ0`K0ZL0WM0UN0RO0SO0TQ0US0VU0WW0XY0\ Y_0_a0bc0de1fg1ii1kk1nm1po1rq1ur1us1ur1rq1po1nm1kk\ 1ii1fg1de1bc0_a0Y_0WY0TW0RU0OS0MQ0OO3RM5TK8WIAYGD_\ FFbFIdFKfENiEPkESnEUpEXrEZuEawEcuEarEZpEXnEUkESiEP\ gENdEKbEI`EFYEDWEAUE8RE5PE3RG5UJ7WLAZOC`QEbTGeVIgY\ Li_NlaPndRqfTsiVukYxl_zmaxl_ukYsjWqgTneRlcPjaNg_Le\ YJbWH`TEZRCWPAUN8SL6PI3MF0LG4KG8JHBIHFHIJGJNFJREKU\ DKYCLaBMeAMi9Nl8Np7Ot5Px6Pu7Oq8Om9NiAMe } END PARAMETER FILE=========================================

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Serpentine
by Roger Alexander 16 Aug '10

16 Aug '10

Today's post is the familiar minibrot in a twisting and serpentine setting. The mythic minibrot, eternally unchanging ever new. Ready made at http://maxitersfractalfollies.blogspot.com A re-sample is on the way. fract367.gif { ; serpentine ; blank ; calctime 0:26:45.30 ; created Aug 15, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=MandelHypCosine center-mag=+0.99530334718326230/+1.02247864647275200/9051.597/1/132.5000\ 00000134236/-9.72736960425102382e-011 float=y maxiter=1500 inside=0 logmap=83 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:MandelHypCosine (XYAXIS) { z = pixel: z = cosh(z) * pixel |z| <= 50 ;SOURCE: fracv13r.frm } Roger Alexander

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FOTD 16-08-10 (Stellar Nursery [9.5])
by Jim Muth 15 Aug '10

15 Aug '10

FOTD -- August 16, 2010 (Rating 9.5) Fractal visionaries and enthusiasts: Today's image is a scene in a perturbed Mandelbrot set, and it is also a scene in some distant galaxy. But is it a real scene that actually exists somewhere? This depends on whether the universe (or multiverse) is finite or infinite. If the universe is limited, then the scene possibly might exist somewhere, some- what as it appears in the image, though more likely the image is purely imaginary. If the universe is infinite however, then the scene actually exists somewhere out there. In fact, it exists in an infinity of different locations. Since I assume the uni- verse is infinite, I claim that today's image is, in effect, an actual photograph of one of those infinity of identical scenes. Metaphysical philosophizing aside, the star field outlining the bud in today's image is all a matter of coloring. Therefore, I must humbly give myself most of the credit for the 9-1/2 rating of the image. To see what coloring can do, try changing the color palette and then see what you think the image is worth. The name "Stellar Nursery" implies that there is more truth in the image than meets the eye. The calculation time of under 1-1/4 minutes can hardly be beat. The only thing that stands a chance is the trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> to view the finished image there. Heavy clouds and intermittent rain made things rather unpleasant here at Fractal Central on Sunday. The temperature of 75F 24C was fair enough, though the rain made it hard to enjoy. As of 8pm, just over one inch or about 3cm of rain had fallen into FL's garden rain gauge. The fractal cats had their big thrill when they started chasing a wasp that got into the kitchen. Luckily, I removed the bug before anyone got stung. The rest of the day was totally routine. The next FOTD will be posted in 24 hours. Until then, take care, or maybe don't take care. Life can be pretty boring for those who are always taking too much care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Stellar_Nursery { ; time=0:01:14.91-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.7342\ 475757/+0.144698038/36055/1/-171/0 params=0.65/-0.8 float=y maxiter=1750000 inside=0 logmap=58 colors=000IAKJAKKAKLAKMAKMAKNAKOAKPAKQAKRAKRAKSAKT\ AKUAKVAKWAKXAKXAKYAKZAK_AK`ALaAMaANbAOcAPdAQeARfAS\ fATgAUhAUiAUjAUkAUkAUlATlATlASlASlARlARmAQmAQmAPmA\ PmAOmAOnANnANnAMnAMnAMnALnALoAKoAKoAJoAJoAIoAIpAHp\ AHpAGpAGp9Fp8Fp7Fo6En6Em6El6Ek6Dj6Di6Dh6Dh6Cg6Cf6C\ e6Cd5Bc5Bb5Ba5B`5B`5A_5AZ5AY5AX59W59V59U49U48T48S4\ 8R48Q48P47O47N47M47M46L46K36J36I35H35G35F35F34E34D\ 34C34B34A33923823723722622522422321221121001001102\ 10210210210210210210310310310310310310310310410410\ 41041042042042052052052052052052052052062062062062\ 06206206207207207307307307307307308308308308308308\ 3083093093093090093z9zz9zz9zzA`zz_mzZmzZmzYmzXmzWm\ zVmzVmzUmzTmzSmzSmzRmzQmzPmzPmzUzzUzzUzzUzzUzzUzzU\ zzUzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 15-08-10 (Seven Down [7])
by Jim Muth 15 Aug '10

15 Aug '10

FOTD -- August 15, 2010 (Rating 7) Fractal visionaries and enthusiasts: This is the politically correct version of today's FOTD. The first version, which I posted by mistake, uses the actual name of a soft drink as its title. The title of this version is the antithesis of the title of the first version, and should offend no one. Today's image is a quickie, yet still manages to rate a 7. It shows a tiny order-7 minibrot in a parent fractal that on the surface is a perfect Mandelbrot set. Today's scene is located in a curving filament in the north branch of the Seahorse Valley of the minibrot lying around -1.48 on the main stem of the parent M-set. The name "Seven-Down" does not hint at a soft drink. It refers to the order-7 nature of the scene. Finding an image in such a short time, which still rates a 7, is more than I had hoped for, but sometimes near-miracles do happen. The slightly dragging calculation time of 6-1/2 minutes may be eliminated by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> I spent all day Saturday at Old Fractal Central, so I can't say how the weather was at New Fractal Central, but when I returned in the evening, the fractal cats told me things had been satis- factory, with lots of clouds and a temperature around 73F 23C. The next FOTD will be posted in around 10 hours. Until then, take care, and even though it is scientifically impossible to foresee the future, I know that precognition does happen. If science is correct and reason rules, as skeptics claim, I am either lying, deluded, or engaging in wishful thinking. But what if reason does not rule? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seven_Down { ; time=0:06:24.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.479978193866193/+0.0011127029548779/\ 7.505951e+012 params=7/1000000000000.0/0/0 float=y maxiter=4800 inside=0 logmap=956 periodicity=6 mathtolerance=0.05/1 colors=00001G02H03I14J25K36L47M68N89OAAPCBQECRGDSI\ ETKFUMGUOHUQIUSJUUKUWLUYMU_NUaOVcPWdQReQNgQJiPEjPA\ lP6mP2nS3oU3pW3pZ3q`3rb3se3sg3ti4ul4vn4vp4ws4xu4yw\ 4yy4zzBzzHzzKzzMzzOzzQzzSzzUzzWzzYzz_zzazzczzhzzmz\ zrzzvzzzzzzzzzzzzzzzzzzzzz6F74F36G67H89HAAIDBIFDJH\ EJJFKMHKOILQEGUJLSOPRTTQYXPb`NgdMlhLqlKupJplLlhNgd\ Pc`QZXSVUUQQWMMXHIZGE`G9`IBaKDaMFbOGbQIcSKcULdWNdY\ Pe_QeaSfbUfcVfdXeeZdf`cgbchdciecjdckcclbcNfbPgcRgd\ TheVhfXigZih`jibjjdkkfkkbjg_jdXi`UiYRiUNhRKhNHhKEg\ GBgD8gABaGEXLGRQJMVMG_OBdMH`KMXIRUGWQF`NDeJBjF9oC7\ t86y5Dq5Jj5Pb5WW5aO5gH5fAAgDBhFBiHBjJBjLBkNClPCmRC\ mTCnVCoXCp_DqaDqcDreDsgDtiEtkEumEvoEwqEwsEuqDtoDsm\ CrkCqiBpgBoeAncAma9l_9kY8jW8kX9kY9kZ9kZ9l_9l`9la9l\ aAlbAmcAmdAmdAmeAnfAngAngBnhBniBojBojBokBolBolBItT\ KuUMuVOuWQuXSuYUuZWu_Yv`_vazzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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FOTD 15-08-10 (7-Up [7])
by Jim Muth 15 Aug '10

15 Aug '10

FOTD -- August 15, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a quickie, yet still manages to rate a 7. It shows a tiny order-7 minibrot in a parent fractal that on the surface is a perfect Mandelbrot set. Today's scene is located in a curving filament in the north branch of the Seahorse Valley of the minibrot lying around -1.48 on the main stem of the parent M-set. The name 7-Up does not refer to a soft drink. It refers to the order-7 nature of the scene. Finding an image in such a short time, which still rates a 7, is more than I had hoped for, but sometimes near-miracles do happen. The slightly dragging calculation time of 6-1/2 minutes may be eliminated by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> I spent all day Saturday at Old Fractal Central, so I can't say how the weather was at New Fractal Central, but when I returned in the evening, the fractal cats told me things had been satis- factory, with lots of clouds and a temperature around 73F 23C. The next FOTD will be posted in around 10 hours. Until then, take care, and even though it is scientifically impossible to foresee the future, I know that precognition does happen. If science is correct and reason rules, as skeptics claim, I am either lying, deluded, or engaging in wishful thinking. But what if reason does not rule? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 7-Up { ; time=0:06:24.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.479978193866193/+0.0011127029548779/\ 7.505951e+012 params=7/1000000000000.0/0/0 float=y maxiter=4800 inside=0 logmap=956 periodicity=6 mathtolerance=0.05/1 colors=00001G02H03I14J25K36L47M68N89OAAPCBQECRGDSI\ ETKFUMGUOHUQIUSJUUKUWLUYMU_NUaOVcPWdQReQNgQJiPEjPA\ lP6mP2nS3oU3pW3pZ3q`3rb3se3sg3ti4ul4vn4vp4ws4xu4yw\ 4yy4zzBzzHzzKzzMzzOzzQzzSzzUzzWzzYzz_zzazzczzhzzmz\ zrzzvzzzzzzzzzzzzzzzzzzzzz6F74F36G67H89HAAIDBIFDJH\ EJJFKMHKOILQEGUJLSOPRTTQYXPb`NgdMlhLqlKupJplLlhNgd\ Pc`QZXSVUUQQWMMXHIZGE`G9`IBaKDaMFbOGbQIcSKcULdWNdY\ Pe_QeaSfbUfcVfdXeeZdf`cgbchdciecjdckcclbcNfbPgcRgd\ TheVhfXigZih`jibjjdkkfkkbjg_jdXi`UiYRiUNhRKhNHhKEg\ GBgD8gABaGEXLGRQJMVMG_OBdMH`KMXIRUGWQF`NDeJBjF9oC7\ t86y5Dq5Jj5Pb5WW5aO5gH5fAAgDBhFBiHBjJBjLBkNClPCmRC\ mTCnVCoXCp_DqaDqcDreDsgDtiEtkEumEvoEwqEwsEuqDtoDsm\ CrkCqiBpgBoeAncAma9l_9kY8jW8kX9kY9kZ9kZ9l_9l`9la9l\ aAlbAmcAmdAmdAmeAnfAngAngBnhBniBojBojBokBolBolBItT\ KuUMuVOuWQuXSuYUuZWu_Yv`_vazzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Brite Colors
by Roger Alexander 15 Aug '10

15 Aug '10

It's been a busy few days here at Action Central so I have to be brief. A gif and a jpg at the usual http://maxitersfractalfollies.blogspot.com fract364.gif { ; colors! ; blank ; calctime 0:23:27.03 ; created Aug 13, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_b.frm formulaname=BirdOfPrey+ function=sin/sqr passes=1 center-mag=-0.27357297545008170/+0.31666418826248880/2268.402 params=0/0/128/0 float=y maxiter=1500 inside=0 colors=w0dv0bt0ar0_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 } BirdOfPrey+ (XAXIS_NOPARM) {; Jon Osuch ; Try p1=0, p2=4, fn1=sqr, fn2=cosxx ; Edited for Fractint v. 20 by George Martin, 10/98 z = p1 x = 1: z=fn1(z)+pixel z=fn2(z)+pixel x = x+1 |z| <=p2 ;SOURCE: jpl1.frm } Roger Alexander

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Lsystem picture
by ROUX Benjamin 14 Aug '10

14 Aug '10

Hi everybody, I'm new in this mailing list (and I hope to use it correctly), and I have a little question with Fractint. I want to make a picture of an L-system fractal, but I need to bypass the limit size of 2048 by 2048 pixels. I try to improve the picture size in the configuration file (at the line of "image disk") but it dosen't work (software crash). Any idea ? (Split the picture in two or four parts and render it part by part ?) Thank you in advance ! (And excuse me for my english, I'm french !) Regards, Benjamin Roux Une messagerie gratuite, garantie à vie et des services en plus, ça vous tente ? Je crée ma boîte mail www.laposte.net

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Testing the basics with beads and wheat
by Mike Frazier 13 Aug '10

13 Aug '10

This is my first parameter file post to the Fractint Mail List. If you have been reading my earlier posts you are already aware that I released Fracton for the Mac yesterday. One of the first things I would like to test is Fracton's ability to export .PAR files. I don't have a PC so I haven't been able to test the exported files with Fractint. Thats where I am hoping someone here can help. Would at least one person please reply whether or not this par file works in FractInt and gives the same image as the fracton.orgweb page link below. While testing Fracton I used parameter files from Jim Muth's Fractal Of The Day website as test cases. I have looked at hundreds (maybe even thousands) of them and I have a lot of favorites. Occasionally, I would spend a few minutes exploring the image and I was often rewarded with interesting things. One thing I always tried was zooming into noisy areas to see what was there and I found one that I thought was spectacular. The FOTD in question is Spirit_of_The_All from October 28, 2009 which is at: http://www.Nahee.com/FOTD/FotD_09-10-28.html The original image is one of my favorites but if you move just off the top of the image and zoom in you will find something that looks like Beads and Wheat in 3D. I usually wouldn't post a pan and zoom parameter file but this image looks so different than the original it's unusual. It is also important to have a similar original PAR file that does work in FractInt to compare with the Fracton exported one. You can get the original with different pan and zoom from the FOTD link above. When I was first looking at the image I wondered if anyone else noticed it. I looked on the mail list and no one said anything so by posting this par file this potentially undiscovered image will be documented. I have a web page that shows what Fracton thinks the image looks like at: http://www.fracton.org/fmlposts/20100813_beads_and_wheat.html START PARAMETER FILE======================================= *Beads_and_Wheat { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20100813_1540 passes=1 float=y center-mag=-0.185/0/13.3333335/1/-90/0 params=-1.38/-0.99/-1.98/0.47/-0.48/3.46/0/0/0/0 maxiter=250 inside=bof60 logmap=yes colors=000zzzzyzzxzzwzzuyzsyzqyzoxzmxzkxzixzhwzgwz\ fwzewzdvzcvzbvyavx`uw_uvZtuYttXssWsrVrqUrpTqoSqnRp\ mQplPokOojNniMmhLlgKkfJjeIidHhcGgbFfaEe`Dd_CcZBbYB\ aXB`W9_V9ZU9YT9XS9WR8VQ8UP8TO8SN8RM6QL6PK6OJ6NI6MH\ 6KG5KF5IE5GD5GC5EB3DA3D93B839739628526426325223113\ 11201101101001000000000000000000000000000000000000\ 00000000000000000000000000000000000000000010020030\ 0500600800900B00D00G00I00K00M00O00Q00S00U00W00Y00W\ 00U00U00S10S10Q20Q30O50O60M60M80K90KB0ID0ID0GE0EG0\ EI0DK0DK0BM0BO09Q09S08U08U06W06Y05_05a03a02d02f01h\ 01j00j00l00o00q00s00w00zK0zP0zU0zX0zU0zP0zK0x00u00\ s01q02o05l06j08f0Bd0Da0G_1IY3MW5OU7SS9UQBWQDUQFSQH\ OQJMQLKQNIQPGQRDQTBQV9QX8QZ5Q`3Qb2Qd1Qf0Qh0Qj0Ql0Q\ m0Wl0_j0fh1jf3od5ua8zYBzYEzXIzXKyYPw_UubZsecqhhokm\ mnrkquitxhwzfzzdzz_zzYzzUzzSzzQzzMzzKzzIzzEzzDxzBs\ z9oz6lz5hz3dz2_z0Wz0Sz0Oz } frm:F_20100813_1540 { ; Pan and zoom of Fractal of the Day for October 28, 2009 ; Spirit_of_The_All by Jim Muth ; It looks like Beads and Wheat ; Posted to Fractint Mail List by Mike Frazier ; time = 7.1 sec on Mac Pro 2 x 2.8 GHz Quad-Core Intel Xeon ; using Fracton at 640 x 480 with no anti-aliasing 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-b)*z-f, j=c*z^d+g, z=z-e*h/j, .0000000000000000000000000000005<=|h| }* * * END PARAMETER FILE========================================= -- Mike Frazier www.fracton.org

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Re: [Fractint] FOTD 02-08-10 (Whereto From Here [9.5])
by Roger Alexander 13 Aug '10

13 Aug '10

Author: Jim Muth Date: 2010-08-01 20:252010-08-02 02:25 -600UTC To: fractint Subject: [Fractint] FOTD 02-08-10 (Whereto From Here [9.5]) FOTD -- August 02, 2010 (Rating 9.5) Fractal visionaries and enthusiasts: Today's image uses only the first 50 or so colors in the color palette, yet rates an exceptional 9.5. I considered rating it at a 10, but a rating of a 10 is the absolute top, and if I had given a 10, there would be no higher rating available for an even better image. Jim Muth jamth@??? Great fractal Jim, well worth the 9.5 Roger Alexander

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Re: [Fractint] Testing the basics with beads and wheat
by Mike Frazier 13 Aug '10

13 Aug '10

Gmail seems to have mangled the parameter file end of line returns for some reason. Please go to the website link for the correct parameter file. The PAR file I pasted had PC returns and I guess the mac version of gmail doesn't like that. http://www.fracton.org/fmlposts/20100813_beads_and_wheat.html -- Mike Frazier www.fracton.org

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FOTD 14-08-10 (On the Right Side [8.5])
by Jim Muth 13 Aug '10

13 Aug '10

FOTD -- August 14, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: Yes, I know that today's image is just another scene on the main spike of the Mandelbrot set, and the Mandelbrot set has been explored almost to the point of infinity, but I kind of like it, so I decided to make it the FOTD for August 14. The rating of an 8-1/2 includes a full 1-1/2 points for the coloring, which turns a routine 7-image into one that is notably above average. Setting the bailoutest to 'and' added to the effect. I very rarely use this feature. Changing the bailout radius has some effect on the image, though not as great as would be expected. The scene is located marginally deep in the Seahorse Valley of the second largest minibrot beyond the largest minibrot on the main spike of the parent Mandelbrot set. The name "On the Right Side" shows that the image lies in the north branch of the parent minibrot's Seahorse Valley, which is on the right hand side when one is looking west. Looking east, the north branch lies on the left, but that's a story for another FOTD. The normal calculation time of 1-1/2 seconds is extended to 52 seconds when the bailoutest is set to 'and'. This is still well within reason, but I also suggest viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heavy clouds hung over Fractal Central all day on Friday. The rain that fell was insignificant, but the clouds held the temperature to 75F 24C, which made the fractal cats very happy. My day was about average. I'll be taking a trip back to Old Fractal Central on Saturday to check out the old place, so don't be surprised if the FOTD for August 15 is late. Until whenever, take care, and if a time machine were ever invented, would it be able to take us back to a time before the machine was invented? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= On_the_Right_Side { ; time=0:00:52.72-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.9415543545222\ 61/+0.00017961165098646/9.371529e+011/1/-177.5/0 params=0/0 float=y maxiter=1800 inside=0 logmap=220 bailout=5 bailoutest=and mathtolerance=0.05/1 colors=00070S80R90QA0PB0OC0ND1ME2LF3KG4JH5II6HJ7GK\ 8FI7EmqPpsRsuTuwVzyXzzczzmzzzzzzXJJPWPHhVMeZRbaW_e\ `XheUljRooOrmNmkNiiNegM`eMXcMTZRQUWNP_KKdHFhER_MaR\ UmIaxAi8a27`97_G7ZN7YT6X_6Wf6Vm6UsKYiYa_keQe`N`WKW\ RIRMFMHDVZBboAzz0zlKsbPoVUmMZoGJhBGb7Gr8Ef8DX8BN8A\ M99F97896195HBCWCIkEPzFV6fsza6ydGxfQwi_vkiumrsoqqq\ poromtnkvmiwlgykezjZm`TaRNFFMQHcTO`RMYPKVNISLGPJEM\ HCJFAAyPjtsemlageXaZTWSOQLKKEApXBkTCfQDaNDXKESHFNE\ GIB9CdBDYCDREELFEEsCDlDCeDB_DATE9ME8MozLjvKemJ`cJX\ UISIHNEGIBTAcQBXNCRLDKIEEiaz_UgQMQGGTGFMGEF3Pr5Nl7\ Mf8K`AJVCIPDGJFFDPUWMUQKXKINE4Ms7KgAIWDGKQ6QO8NM9K\ LAHJCEHDB5Uf8U_A_TCTMELF1U_4UV6iQ9aMBUHEMCxUOaZGwO\ 0aJ4uY6oU7iS7cP7YM8SJ8MG8z5aePYmUUmURmUOmULmUHmUEm\ UBmUEmUtmU8mUgmUWmUKmUSmUOmUKzczzczzczzczzczzezziz\ zkzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } END PARAMETER FILE=========================================

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Re: [Fractint] FRACTON
by JackOfTradeZ＠comcast.net 13 Aug '10

13 Aug '10

. I do not have a MAC, so I can't give it a try. The real question is speed. Generate a deep image with fractint running on a current machine in DOS or pseudo-DOS mode, whatever, then run the PAR file with fracton in a comparable (I know, fuzzy comparison) MAC machine. Is it better? I did this with UF and FX a long time ago, and fractint won hands down, which is why I still use it. .

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Fracton Initial Release
by Mike Frazier 13 Aug '10

13 Aug '10

I am pleased to announce the availability of Fracton, a freeware fractal application for the Macintosh. Major Features: - Imports/exports Fractint parameter files - Equation compiler lets you design your own formulas - Draws and exports large images up to 10,000 x 10,000 - User controllable anti-aliasing and 24 bit color - Multi-processor capable for faster drawing - Variations menu simplifies adjusting parameters - Color table editor to create and adjust colors - Creates image sequence movies - Exports 3D models that can be rendered in other programs For more information or to download the latest free version go to the Fracton website: http://www.fracton.org/ -- Mike Frazier www.fracton.org

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Fracton
by Brian Prentice 13 Aug '10

13 Aug '10

Here are three of my favorite fractals by Jim Muth drawn by Fracton: http://linuxenvy.com/bprentice/Fracton/ Fracton generated the tiff files. I converted them to png files because Firefox seems happier with those. You may compare these images with those drawn by Ultra Fractal by going here: http://linuxenvy.com/bprentice/Fractals/Jim%20Muth/ Thanks for the program Mike. Brian Prentice

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Blue Lace
by Roger Alexander 13 Aug '10

13 Aug '10

Today's post has a lacy and delicate pattern. I used a blue palette. To make the re-sampled version I used my usual routine of generating the source image with horizontal and vertical dimensions scaled 4 times. This makes an image sixteen times the area with a corresponding increase in calculation time. To re-sample I then loaded it into Gimp, increased the color depth ( Gimp calls this using the RGB mode)scaled it down by a factor of four, did a little bit of sharpening and saved it as a high quality (low compression factor) jpg. Go to the usual http://maxitersfractalfollies.blogspot.com to see both. fract361.gif { ; threads ; blank ; calctime 0:04:17.15 ; created Aug 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_q.frm formulaname=quadros_rjr_j function=sin/sqr/sinh center-mag=-0.97504685857321640/+1.36068339125208700/6354.048 params=0/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=46 colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\ W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\ r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\ zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\ zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\ zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\ z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\ z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\ z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\ e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\ I00H00G00F00E00D00C00B00A009008007006005004003002000000 } frm:quadros_rjr_j {; bs and rjr y2k03 ; As posted in Fractal-Art, 4/28/97 z=fn1(pixel+abs(p2))/fn2(pixel+abs(p3)): z=(pixel*fn3(z))+z |z| <= 100 ;SOURCE: 97msg.frm } Roger Alexander

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FOTD 13-08-10 (Undiscovered Treasure [7])
by Jim Muth 12 Aug '10

12 Aug '10

FOTD -- August 13, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's Mandelbrot image is a high-magnitude scene on the north- west shore line of the main bay, near the point where Seahorse Valley begins. The magnitude is not quite great enough to make arbitrary math necessary, and as a result, the image finishes in a fireball-fast 3-2/3 seconds. The image was rendered with the routine settings of outside=iter and inside=0. Other outside settings add a bit more detail, while some of them slow the calculation to a six-minute crawl. IMO, the 'iter' rendering is the simplest as well as by far the fastest, and I much prefer simplicity. The rating of a 7 might be a bit generous, but the image really is unexpectedly rich, coming as it does from such a heavily explored area. The name "Undiscovered Treasure" points out that the minibrot in today's image has lain undiscovered for nearly 30 years. The chance that this same minibrot has already been viewed is proba- bly less that one in a trillion, since at this magnitude the full M-set is about the size of the solar system. The calculation time of 3-2/3 seconds is true only as long as the outside is not set to 'tdis'. If the outside is set to 'tdis', the image requires almost 6 minutes to calculate, which is over 100 times as long. All this uncertainty with time may be avoided however by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Occasional rain here at Fractal Central on Thursday put a damper on outside activities but held the temperature to a far more pleasant 77F 25C. Luckily, we had no outside activities planned for Thursday, so we enjoyed the lower temperatures. It was cool enough inside that the fractal cats actually got up from the kitchen floor and made an appearance in the living room, where they let it be known by sitting and staring at the humans that they were hungry. The humans' day was otherwise uneventful. The next FOTD will be posted in 24 hours. Until then, take care, believe the believable and disbelieve the disbelievable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= UndiscoverdTresure { ; time=0:00:03.62-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.7249156524496\ 007/+0.2804933238405642/6.079842e+012/0.9999/-52/0 params=0/0 float=y maxiter=9200 inside=0 logmap=798 periodicity=6 mathtolerance=0.05/1 colors=000XafWaeWacVaaUa_UaZPXILS1MT6NTAOTFPUJPUNQ\ USRVWSV`TVdTVhWYfZ`eaccdfbgi`il_loYorXruVuwUvwTuuV\ srXqoYok_mhakdbi`dgYfeUgcRiaNk`Kl_Jh_Ie_HbZG_ZGXZF\ TYEQYDNYCKXCHXBDXAAW97W84W81VC4VF6VJ9UMBUQEUTGTYJT\ aLTdOSgQSjTSnVRqYRt_RvbRwdXvebrfgogdldbib`f`YcZW`X\ UYVRb`OgfLllQigUgcYe_bbWf`SjZOnXKqaFseAui5wm1uj5sg\ 8reCpbFo`JmYMlWPjTThQWgO_eLbdJfbGiaEl_HnYKoXNpVQrU\ SsSVuRYwP`yObyWZzbVyjRxqNwxJwwKsvLpuMmtNjsNgrOdrP`\ qQYpQVoRSnSPmTMmTJo9MlANjAOhAPfAQdARbAR_BSYBTWBTUB\ TSBTQDSSFPUIOWLOYON_RM`UMbXKd_JfbHheFihEkkCmnAoq9q\ t7rw6qz8qv9prApmCphDocEoZFnUHnPInKJmFKkCMh8Nd5Od2P\ f6MjAKoEIrHGsLErPCpTAoW8n_6mc4mf2jd6gc9dbCaaFZ`IW_\ LTZOQYRNXUKWXCUXDSVEQTEOSCSPBVMAZJ9aG8eD7hA6l75o44\ r27s6At9DuDFvGIwJLxNNyQQzTTzXVz_Yzc`zfbziezmhzpjzs\ lzpnzmpzjrzgtzdvzaxz_wz`vz`vz`uz`tz`tz`sz`rz`rz`qz\ `pz`pz`lzSizJczMZzlYzjYzh } END PARAMETER FILE=========================================

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Iter and Atan
by Roger Alexander 11 Aug '10

11 Aug '10

It's an outside=atan posting today. Outside=atan (or decomp which usually looks very similar) works best with images that have pronounced lobes. With images that have a high densisty of iteration bands outside=iter gives a "cleaner" image. With atan or decomp the image is too "busy". At my blog http://maxitersfractalfollies.blogspot.com I have a Fractint gif and resampled jpg. fract358.gif { ; outside=atan ; blank ; calctime 0:06:03.71 ; created Aug 11, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=magnet.frm formulaname=magnet_minimand center-mag=-0.39907422894176150/+0.60319214574769480/305.5199/1/47.49999\ 99999992539/1.19627224792751008e-012 float=y maxiter=1500 inside=0 outside=atan colors=0Dzzzzzzzzzzzzzyyyyyyyyyyyyxxxxxxxxxxxxwwwwwwwwwwwwvvvvvvvvvvvvuu\ uuuuuuuuuuttttttttttttssssssssssssrrrrrrrrrrrrqqqqqqqqqqqqppppppppppppoo\ oooooooooonnnnnnnnnnnnmmmmmmmmmmmmllllllllllllkkkkkkkkkkkkjjjjjjjjjjjjii\ iiiiiiiiiihhhhhhhhhhhhggggggggggggffffffffffffeeeeeeeeeeeeeeeddddddddddd\ dccccccccccccbbbbbbbbbbbbaaaaaaaaaaaa````````````____________ZZZZZZZZZZZ\ ZYYYYYYYYYYYYXXXXXXXXXXXXWWWWWWWWWWWWVVVVVVVVVVVVUUUUUUUUUUUUTTTTTTTTTTT\ TSSSSSSSSSSSSRRRRRRRRRRRRQQQQQQQQQQQQPPPPPPPPPPPPOOOOOOOOOOOONNNNNNNNNNN\ NMMMMMMMMMMMMLLLLLLLLLLLLLLLKKKKKKKKKKKKJJJJJJJJJJJJIIIIIIIIIIIIHHHHHHHH\ HHHHGGGGGGGGGGGGFFFFFFFFFFFFEEEEEEEEEEEEDDDDDDDDDDDDCCCCCCCCCCCCBBBBBBBB\ BBBBAAAAAAAAAAAA99999999999988888888888877777777777766666666666655555555\ 5555444444444444333333333333222222222222111111111111000 } frm:magnet_minimand (XAXIS) { z=c=pixel: z=( (z*z+(c-1)) / (2*z+(c-2)) )^2-z-z |z|<127 } Roger Alexander

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FOTD 12-08-10 (A Higher Reality [6])
by Jim Muth 11 Aug '10

11 Aug '10

FOTD -- August 12, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is an almost-Julia set of a tiny bud on the west shore line of the north branch of Seahorse Valley of the Mandelbrot set. The scene doesn't have very much to offer, but I added some life to it by rendering it with the outside set to 'real'. The name "A Higher Reality" came to mind when I briefly opened a book about the search for a theory of (almost) everything. I lost count of the number of required dimensions around 26, though I think the number has been condensed down to 10 or 11. The fewer the number of dimensions in such a theory, the better. After all, any person with the faculty or reason can see that reality consists of 1 temporal and 3 spatial dimensions. Apparently, we still have a lot of dimensions to get rid of. The rating of a 6 indicates that I am less than enthusiastic about the image, especially with its calculation time of 5-3/4 minutes. Luckily, calculation may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Wednesday turned much too hot for the fractal cats here at Fractal Central. When the temperature reached 95F 35C, they took up residence on the kitchen floor for the rest of the day. My day was appropriately busy, leaving no time to be worried by the heat. The next FOTD will be posted in 24 hours. Until then, take care, and the ultimate reality is what we see with our eyes, hear with our ears, and touch with our hands. . . . or is it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Higher_Reality { ; time=0:05:47.73-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.00004828/\ +0.00105737/181.8182/1/42.5/0 params=89.999651500\ 03/0/89.99965150003/0/-1.768530150422537/0.0002036\ 0636743215/0/0/2/0 float=y maxiter=150000 inside=0 outside=real periodicity=0 colors=000h_qgZogYlgXjgWhfVffUcfTafT_eSYeRWeQTdPRd\ OPdNNdMKcLIcKGcJEcJCeKFgLIiMLjNOlORnPUoQXqR_sSbtTd\ sUerUeqVepVfoWfnWfmXflXgkYgjXgjWgiWhhVhgUhfSieUidV\ icXibYja_j``k`amaboacqbesbguciwckxdmzKFGVGHYLHYOI_\ RIcTJgWJkZKoaKrdLuhLwnMyrMzzMpwLotLnqLmnLlkLlhKkeK\ jdKicKhbKhaKg`Kf_KeZLdYMdXNcWObVPaUQ`UR`US_UT_UUZU\ VZUWZUXYUYYUZXU_XU`XUaWVbWWcWWdVYeV_gUaiUbkUdmTemT\ gmThmUfmVemWdmWbIX_GYWEYTCZQA_N8_K7aK6bJ6d5Kb6O`6R\ Z7VX8ZV9aTAeRBhPClOCoPBnQBmRBlSBlTAkUAjVAjWAiX9hY9\ hZ9g_9f`9fa8eb8dc8cd8ce7bf7ag7ah7`i6_j6_k6Zl6Ym6Yn\ 5Xo5Wp5Vq5Vr4Us4Tt4Tu4Sv3Rw3Rx3Qy3Py3Px4Ox4Ox5Ox5O\ x6Ow6Ow6Ow7Ow7Ow8Nv8Nv8Nv9Nv9NvANuANuANuBNuBMuCMuC\ MtCMtDMtDMtEMtEMsEMsFLsFLsGLsGLrGLrHLrHLrILrILrILe\ frferfergdtfereeqdfpcfnbfmbglagk`gichhchgchecidcic\ cibcj`cj_cjZckXckWckVclUclSmmRmmQmmPmnNmnMmnLmoJmo\ ImoHmpGmpEmpDmqCmqAmq9mr8 } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 11-08-10 (Sinuous Arms [6])
by Jim Muth 10 Aug '10

10 Aug '10

FOTD -- August 11, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's scene is another unfamiliar view of Seahorse Valley of the Mandelbrot set. Actually, the scene is more a Julia set than a Mandelbrot set, being sliced as it is at an angle double rotated only 1 and 1 degrees from the true Julia orientation. This is the kind of thing I usually pass quickly by when on the search for a worthy fractal image, but today for some reason I decided to stop halfway and make a FOTD from what I found there. I calculated the image with the passes=b option, which works the fastest with this image. This option misses a few insignificant loops that are caught by passes=1, but that option takes 12 minutes to calculate the scene. The name "Sinuous Arms" does not refer to a fancy hotel; it describes the main features of the image. I was undecided whether to rate the image at a 6 or a 7. I finally decided on a measly 6. If I had put more effort into the colors, I might have raised it to a 7. The calculation time of 2-1/2 minutes is within reason, though viewing the finished image on the FOTD web site is even more reasonable. The web site may be accessed at: <http://www.Nahee.com/FOTD/> Tuesday here at Fractal Central was far too hot for cat comfort, and for human comfort also, for that matter. The temperature of 95F 35C was better suited for Arizona than Pennsylvania, and the fractal cats must have agreed. We had a tough time getting them to move from the cool floor. My day was reasonably pleasant. The next FOTD will be posted in 24 hours. Until then, take care, and don't make a pact with the fractal devil. He always demands payment in full. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sinuous_Arms { ; time=0:02:29.84-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=b maxiter=15000 center-mag=-0.4099/-0.0475/3.84 inside=255 logmap=8 params=89/0/89/120/-0.755/0.03/0/0/2/0 float=y periodicity=6 colors=000N`_OY_PW_QT_RQ`SO`TL`UI`VG`WD`WB`ZEZaGXc\ JVfLThORkQPnTNpVLsYJu_HxbFzdDyeEyeExeExeFweFwfFvfF\ vfGvfGufGugGtgHtgHsgHsgHrgIrhIrhIqhIqhJphJpiJoiJoi\ KniKniKniKlhLkhLihLhgMggMegMdgMbfNafN`fNZeOYeOWeOV\ eOUdPSdPRdPPcQOcQNcQLcQKbRIbRHbRGaSEaSDaSCaSDbTDcT\ DcTEdTEeTEeTFfTFgTFgTFhTGhTGiTGjTHjTHkTHlTIlTImTIn\ TInTJoTJoTJpTKqTKqTKrTLsTLsTLtTLtTKrUJpUJnUImVIkVH\ iVHgWGfWGdWFbWF`XE_XEYXDWYDUYCTYCRYBPZBNZAMZAK_9I_\ 9G_8F_8D`7B`79`68a66a54a53a76_98YBBWCDUEFSGIQHKOJM\ MLPKMRJOUHQWFRYDT`BVb9Wd7Yg5_i3`k2_l4_l6_l8ZlAZlCZ\ lDYmFYmHYmJXmLXmNXmOWnQWnSWnUVnWVnYVnZUo`UobUodTof\ TohToiSpkSpmSpoRpqRpsRptQnsQlsQksQisQgsQfrQdrQbrQa\ rQ_rQYrQXqQVqQTqQSqQQqQPqULiXIaVKcULdSNfROgPQiORjN\ SlLUmKVoIXpHYrGZsE`uDavBcxAdy9ezAdxAcvAbuAasB`qB`p\ B_nBZmBYkCXiCXhCWfCVdDUcDTaDT`DSZDRXEQWEPUEOSEORFN\ PGHCFMOFLMFKKFKJGJHGIF000 } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 08-08-10 (Back from the Dead [No Rating])
by Jim Muth 10 Aug '10

10 Aug '10

FOTD -- August 08, 2010 (No Rating) Fractal visionaries and enthusiasts: Rather than kill the image for August 8, I have decided to post it without a discussion. Since it's a scene in the north radical of the Mandelbrot set, it hardly needs a discussion. The parameter file runs in 1-3/4 seconds; the finished image is available on the FOTD web site at: <http://www.Nahee.com/FOTD/> The FOTD for August 11 will be posted on schedule. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Back_from_the_Dead { ; time=0:00:01.48-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.1009933443908\ /+0.8883152987243/5.382552e+009/1/-139/0 params=0/0 float=y maxiter=1800 inside=0 logmap=161 colors=000rEUqFUpGUoHUnIUmJUlKUkLUjMUiNUhOUhPUhQUh\ RUhSUhTUhUUhVUhWUhXUhYUhZUh_Uh`UhaUhbUibVkbTlaRnaP\ o`Nq`Ls_Jt_HuZFvZDvYBuY9tZAs_Bq`BoaCmbCkbDicDfdEde\ EbfF`gFYhEWiETjDRjDPjCMiCKgBIdBFaADZABU98P96K84F8D\ 7DM6HU6Lb5Pk4Ts4Xp4Yn4Yl4Yj4Yh4Ye4Yc4Ya4Y_4YY4YZ7X\ Z9XZBXZDWZFWZHWZJVZLVZNVZPVXPTVPRUPPSPNQPLPPJNPIMP\ GKPEIPCHPALP8PP7UTDZWIc_NhbSmeYmibzlgzolzmkzpkzujz\ zjSgiVfiYeh`chcbgf`gi_flZfqa`vcWnbVgaU``TU`SN_RGZQ\ 9ZPhCvjEtlFrmGpoInpJlrKjsLiiUg_bfQkeUghYdj`aldYogV\ qkSsnOvrLxuIzqLvmNriPneSjaUfYWbUY_S_ZQ`ZOaZMbYLcYJ\ dYHeYFgXDhzCizAjz8kz6lz4mz3nz6qz8sz7oz7lz6iz6fz6cz\ 5_L5XM5UN4RO4OP3KQ3HR3ES2BT28U25V58S7BQ9EOKHMUKKcM\ ImPGzSKzVPmYUm_ZcaccchUdmUfrMhvMizLkzLlzKnzKpzPqzU\ szUtzZuzcvzcwzcxzhyzmzzmzzmzzmzvmztmzrrzpvznzzlzzj\ zzizzdzz`zzXzzSzzOzzKzzFzzBzz7zzEzzLzzSzzZzzezzlzz\ rzzszztzzuzznzzSzzJzzAzzA } END PARAMETER FILE=========================================

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Reminds Me of a Spiral Galaxy
by Roger Alexander 09 Aug '10

09 Aug '10

Today's date brought to you by the sequence 08-09-10. Coincidence? I think not... As for today's post not much to say, I like the colors. Worried you browser can't handle all this new fangled html? Go to http://maxitersfractalfollies.blogspot.com and put it to the test. fract357.gif { ; blank ; blank ; calctime 0:17:34.51 ; created Aug 09, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_z.frm formulaname=Zing_rjr function=cosxx center-mag=-0.14230920309197500/-0.57460291533189460/259.2204/1/-49.9999\ 999999997158/2.42104947201227105e-013 params=-0.2251960814233833/0.173802911465804 float=y maxiter=1500 logmap=59 periodicity=6 cyclerange=10/255 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } frm:Zing_rjr {; Edited for Fractint v. 20 by George Martin, 10/98 z = pixel+p1 log2 = 2 ^ (pixel*z): z = fn1(z+pixel) z = z + log2 |z|<= 42 ;SOURCE: hubert.frm } Roger Alexander

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FOTD 10-08-10 (Little Crater Lost [7])
by Jim Muth 09 Aug '10

09 Aug '10

FOTD -- August 10, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's quickie image shows a minibrot of order 12, located in a tiny piece of debris in the main bay of the large minibrot on the main stem of the parent Mandelbrot set. This large minibrot is at a stage about halfway between quadratic and order-12. I named the image "Little Crater Lost" because it shows a crater filled with minibrots like a swiss cheese, located near the top of a hill. Being in such an unlikely location, the crater will probably never again be viewed anywhere in the universe. If the universe is infinite however, this crater will be viewed an infinity of times every atto-second. And this is something to think about. I did not need to do much thinking to decide on a rating of a 7 for today's image. It is all-right sure enough, but exceptional -- no way. The calculation time of 19 seconds is perhaps the best part of today's FOTD, which finishes before one can pour a drink. A visit to the FOTD web site is also a very convenient way to view the image. The web site may be accessed at: <http://www.Nahee.com/FOTD/> The heat returned to Fractal Central on Monday. When the temperature reached 93F 34C the fractal cats retired to the tile floor in the kitchen. They showed some displeasure when the sun, which is now taking a somewhat lower track across the sky, began shining on their favorite spot under the sink. A few drops of water sprinkled on their heads by FL showed them the solution. They got up and moved across the room. Actually, the tile floor in the bathroom is the coolest place around, but who wants to take a nap in a bathroom. My day was appropriately busy. The next FOTD will be posted in 24 hours. Until then, take care, and keep pondering those mysteries. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Little_Crater_Lost { ; time=0:00:19.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.760122589997146/+0.00292600604921105\ /1.074e+013/1/-122/0 params=12/10000000000000000.0\ /0/0 float=y maxiter=1800 inside=0 logmap=40 periodicity=6 mathtolerance=0.05/1 colors=000G0_F0XE0UD0QB0M90I70E30A225494BG4MN3XU3g\ `2qgAvnLwrWxvfyzqzzzRUQONWLGaJMYHRUFXQEaNFZOGWPHUP\ IRQJPQKMRKKRPPNTUKXZHacEehBim8mq5ljBlcGlYLlRQlKVlE\ _jC`iB`g9`f8`e7`c5`b4`a3`VB_OIZHQYAXX9W_9Wb9Ve9VhG\ SaNQWUNP`LJfJDdKFbLHaMJ_NLYONXPPVQRUQTcOXlM`7HNUTq\ ZGhb4_ZBXVIUROSNVPJaMFgKLgMRgOWgPagRggTlgUaNeS2pPd\ wRhvSluUptVtsWwskaLiUKgMKeEJd7JdEadKt_LqVMoRNlMOjH\ PgDQeAUS8YE6`0Ri5kq9hfMfXYcNjaDv`Og_ZT_hEwolzqnwpl\ uoksniqnhomgmlekldikbgjaej`aeXZ`UWWRTROQMLNHIKCFH7\ CE39H6RK8hMAyPCvREsTGpVHmYJj_LgaNdcOafQZhSWjUTlVQo\ XNqZKs`HuaErYFoVGlSHiPHfMIcJJ`GKYDKVALS7MP4NN1NAlu\ BgvCbvDYvETvFOwGJwHEwI9wJ5wKBtLHrLMoMSmNYkNbhOhfOm\ dMhcLcbKZaIUaHP`GK_FG_HI`IJaJKbLLcMMdNOePPfQQgRRhT\ SiUUjVVkXWlYXmZYmXXnWXoVXpTWqSWrRWsQXqQYpQZoP_mP`l\ PakObiObhOcgNdeNedNfcMgaMh`Mh_SURYGIc29dAEdHJdOOdW\ TdbYdibdpfhkelfeobesYdwTd } 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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Log Mapping
by Roger Alexander 08 Aug '10

08 Aug '10

Today's post is of two examples of log versus regular palette mapping. I'll let Fractint's manual explain log mapping. " By default, Fractint maps iterations to colors 1:1. I.e. if the calculation for a fractal "escapes" (exceeds the bailout value) after N iterations, the pixel is colored as color number N. If N is greater than the number of colors available, it wraps around. So, if you are using a 16-color video mode, and you are using the default maximum iteration count of 150, your image will run through the 16-color palette 150/16 = 9.375 times. When you use Logarithmic palettes, the entire range of iteration values is compressed to map to one span of the color range. This results in spectacularly different images if you are using a high iteration limit and are zooming in on an area near a "lakelet" ". Log mapping is particularly useful in deep zooms when the iteration values are high and the density of iteration with the rapid cycling of the palette produces an effect that is almost noisy. Go to http://maxitersfractalfollies.blogspot.com for the original gifs and two resampled jpgs. Note that for fract355.gif the autolog map value of 102 calculated by Fractint was increased to 140. To generate the fractals with regular mapping set the x screen "log palette" value to 0. fract355.gif { ; logmap hi ; blank ; calctime 0:00:43.34 ; created Aug 08, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-0.13784252841051350/+0.84680655314023390/86407.5 params=0/0 float=y maxiter=3600 inside=0 logmap=140 colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } fract356.gif { ; auto log map ; blank ; calctime 0:11:41.79 ; created Aug 08, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-0.13784212640222090/+0.84680532340393120/2.941708e+007/1/-17\ 7.499999933515994/-6.95950524293165174e-008 params=0/0 float=y maxiter=12000 inside=0 logmap=595 colors=w0dv0bt0ar0_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 }

1 0

FOTD 09-08-10 (Key to the Mystery [7])
by Jim Muth 08 Aug '10

08 Aug '10

FOTD -- August 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: Saturday brought about a gardening expedition, which left no time for a proper FOTD. As a result, there was no FOTD for August 8, and most likely there never will be. When time is of the essence, the Mandelbrot set usually supplies a worthwhile fractal image with little time wasted. Time was essential on Sunday, and as expected the M-set produced an image worthy of being declared FOTD for August 9. To find a worthy fractal, I checked the northern shore line of the large period-2 bud on the negative X-axis, and before I knew what had happened, there was today's image. I named it "Key to the Mystery", though I have no idea what the mystery might be. One thing I do know however is that there certainly are enough mysteries out there in the world, waiting to be solved. The rating of a 7 is what the vast majority of scenes in the Mandelbrot set are worth. The calculation time of 18 seconds shows that the type=mandel formula runs extremely fast. The calculation will be no problem, but what of those new- fangled computers that sneer at the sight of an old-fashioned DOS program like Fractint? Fractalists unfortunate enough to be burdened with one may see the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The new-fangled units do get around the internet quite well, at least. Saturday and Sunday were near perfect days here at Fractal Central. Only a few too many clouds on Saturday and a slightly too warm temperature of 88F 31C on Sunday kept things from being absolutely perfect. The fractal cats were a bit cranky when we returned on Saturday after being away almost all day. It took half a can of tuna to restore their spirits. On Sunday, after another generous treat of tuna, the dynamic duo was in a good cat-mood. In the human department things were busy but otherwise rather uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and why is there something instead of nothing? In my opinion, this is so because the idea of 'nothing' is an abstract concept invented by the human mind. The question is a wrong one, based on a wrong assumption. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Key_to_the_Mystery { ; time=0:00:18.18-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.9619889730777\ 904/+0.2476837399900256/7.701877e+011/1/57.25/0 params=0/0 float=y maxiter=32767 logmap=4429 inside=0 periodicity=6 mathtolerance=0.05/1 colors=00000H00I00J00K00L00M01N02O03P04Q05R06S07T1\ 8U29V1AW0CY1E_2Ga2Ic3Ke4Mg4Oi5Qk5Sm6Uo7Zq7Wr8Ys8_t\ 9auAcvAewBgxBiyDkzEmzFozGqzIszJtzKuzLvzMwzOxzPyzQz\ zRzzSzzUzzVzzWzzXzzYzz_zz`zzazzbzzczzbzzazz`zz_zzZ\ zzYzzZzzXzzWzzVzzUzzTzzSzzRzzPzzOzzNzzMzzLzzKzzJzz\ HzzGzzFzzEzzDzzCzzBzz9zz8zz7zz6zz5zz4zz1zz3zz4zz6z\ z7zz9zzAzzCzzDzzFzzGzzIzzJzzLzzMzzOzzPzzRzzSzzUzzV\ zzXzzYzz_zzazz`zzbzzezzhzzkzznzzqyztxzwwzvzzuzzsvz\ rrzqmzphzoczmZzlUzkQzjMwiLreJlbHfZG`WEWSCQPBKL9EI8\ 9GDCEIFDMHBRK9UN8UP6US5UUAUWEUYIUZMU`QUbUUcZUebUgf\ UhjUjnUlrUmnUkkUjhUidUhaUgZUeWUdSUcPUbMUaJU`STV_NP\ UcJPNEnKA_K7RK3JK0MK3PK6SK9VKCYKF`_zc_zf_zi_zg`zfa\ zebzzczbmzaez`fz_ezZmz`czamzbWzcNmdImeDmdCmcBmKAmK\ 9wb9wa8w`7w`6wK5z_5zb7zd9zfBzKDUjFzUHznJzpmzrNzUPz\ KRzUSztmzpmzlRUhRUdRz`QUXQzTQUPQzMQUPTzRVzTYzW_zYb\ z_dzSVzKLzCBziHzgGzfEzdDz } END PARAMETER FILE=========================================

1 0

POT to TGA - It Works!
by Roger Alexander 07 Aug '10

07 Aug '10

It works! I used Gerald K. Dobiasovsky's pot2tga utility to convert a POT generated plasma to TGA format. A resulting file is available as a PNG at http://maxitersfractalfollies.blogspot.com because Flickr which I use to host my graphics files for my blog won't accept TGA files and I then had to convert formats one more time. Thanks to Gerald K. Dobiasovsky for responding to my request and Paul N. Lee for making the zip file available. Roger Alexander

2 1

FOTD 07-08-10 (Walking Backwards [8.5])
by Jim Muth 06 Aug '10

06 Aug '10

FOTD -- August 07, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image shows a rather spectacular anti-minibrot. Since everything is backwards in anti-minibrots, which are anti- bifurcated hills rather than basins, I named the image "Walking Backwards". On its surface the parent fractal is an everyday Mandelbrot set, but a huge enigma lies in its depths. Today's scene has a magni- tude of over 3*(10^11), which lies well beyond the depth where the strangeness begins. Like most anti-minibrot scenes, today's is located in a bit of leftover debris in the interior of a minibrot caught in the act of morphing from quadratic to some higher order, which in today's case is order-9. The morphing minibrot in turn lies in a patch of chaos on the northeast shore line of the parent M-set, well around into East Valley. A good part of the image's impact is due to the coloring. I have been putting more effort into the FOTD coloring recently. Hopefully, it shows. In today's case my effort earned an extra half-point to bring the final rating to 8-1/2. The calculation time of 2-1/2 minutes is bearable, but even this minor wait may be eliminated by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Friday turned out unexpectedly pleasant here at Fractal Central. The temperature of 84F 29C was unexpectedly low, while the lower humidity added its part. The kodachrome blue sky and puffy white clouds simply added to the unexpected treat. The fractal cats were unconcerned with the weather. They were more con- cerned with the fractal basement, where we suspect some animal, most likely a neighborhood stray cat, has found its way inside. Otherwise all was in proper order on Friday. The next FOTD will be posted in 24 hours. Until then, take care, and how can tele- portation possibly work when atoms have no definite location? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Walking_Backwards { ; time=0:02:31.40-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3304490117692855/+0.0591339473912434\ /3.095095e+011/1/67.5/0 params=9/1e+030/0/0 float=y maxiter=2500 inside=255 logmap=168 periodicity=6 colors=000qqoqqoppoppopooooooooooonnnnnnoooqqqtttw\ wwzzzzzzvszzmzvmvrmrmmmhmjdch_XgZVeXSdWQbUN`TK_RIY\ QFWODVNATM8SOAUPBVRCXSDYTF_VG`WHbXIcZKe_LfaMhbNicP\ keQlfRnzm0zm0zm0zm0zm0zm0zm0zm0pZnn`nlbnidmgfmehmc\ jlall_nlYpmWnmVlmTjmShmQfmPdmOcmMbmLamJ`mI_mGZmFYm\ EXmCWmBVmBUmCUmCUmEVmFWmGXmHYmIZmJ_mK`mLamMbmNcmOc\ nPcoQcpRcqScrTcsUctVcuWcvXcwYcxZcy_cz`czaczbczcczc\ czcczcczcdzcezcfzcgzbhzaiz`jz_kzZlzYmzXnzWozVpzUqz\ TrzSszRtzQuzPvzOwzOxzPyzPxzPwzQvzQuzRtzRszRrySqxSp\ wSovTnuTmuUluUkuUjuViuVhuVguWfuWeuWduXcuXbuYauY`uY\ _uZZuZYuZXu_Wu_Vu`Uu`Tu`SuaRuaQuaPubOubNucMucLucKu\ dJudIudHueGueFueFubGr`GpZGmXGkVGhTHfRHdPHaND_LAXJ5\ VH0TF0QD0OB0L90J70HB0EE0BH08L05OA2RA0XA3aA6cA9cACc\ AEcAHcAKcANaAPZASVAVRAXOA_KAbHKdIKdJKdKKdKKdLKdMKd\ NKdNKdOKdPKdQKdQKdRKdSKdSKdTTdUTdVTdVUdWUdXUdYUdYU\ dZUd_Ud_Ud`UdaVdbVdbVdcVd } 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=========================================

1 0

From a Modded Formula
by Roger Alexander 05 Aug '10

05 Aug '10

Today's fractal was made by the C_plus formula, a mod of yesterday's C formula. Both a gif and resampled jpg are available at http://maxitersfractalfollies.blogspot.com. I choose this fractal because the design (outside=fmod) and the palette work together. fract347.gif { ; c_plus a modded c formula ; blank ; calctime 0:03:26.84 ; created Aug 05, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=c_plus.frm formulaname=C_plus function=tan center-mag=1.14418/1.3305/26.27154 params=-0.6038697470015565/-0.2504348887600329 float=y maxiter=1500 inside=0 proximity=2 outside=fmod colors=hzzgzzfzzezzdzzczzbzz`zz_zzZzzYzzXzzWzzVzzTzzSzzRzzQzzPzzOzzMzzLz\ zKzzJzzIzzHzzGzzEzzDzzCzzBzzAzz9zz7zz6zz5zz4zz3zz2zz0zz0zz0yz0yz0xz0wz0w\ z0vz0uz0uz0tz0sz0sz0rz0qz0qz0pz0oz0oz0nz0nz0mz0lz0lz0kz0jz0jz0iz0hz0hz0g\ z0fz0fz0ez0dz0dz0cz0bz0bz0az0az0`z0_z0_z0Zz0Yz0Yz0Xz0Wz0Wz0Vz0Uz0Uz0Tz0S\ z0Sz0Rz0Qz0Qz0Pz0Pz0Oz0Nz0Nz0Mz0Lz0Lz0Kz0Jz0Jz0Iz0Hz0Hz0Gz0Fz0Fz0Ez0Dz0D\ z0Cz0Cz0Bz0Az0Az09z08z08z07z06z06z05z04z04z03z02z02z01z00z00z00z00y00y00\ x00x00w00w00v00v00v00u00u00t00t00s00s00r00r00r00q00q00p00p00o00o00n00n00\ n00m00m00l00l00k00k00j00j00j00i00i00h00h00g00g00f00f00f00e00e00d00d00c00\ c00b00b00b00a00a00`00`00_00_00Z00Z00Z00Y00Y00X00X00W00W00V00V00V00U00U00\ T00T00S00S00R00R00R00Q00Q00P00P00O00O00N00N00N00M00M00L00L00K00K00J00J00\ J00I00I00H00H00G00G00F00F00F00E00E00D00D00C00C00B00B00A } frm:C_plus {;mutated c formula by rjr 2010 z=pixel c=3.141592653589793: z =fn1(c*pixel*z*p1) + z |z| <= 50 ;SOURCE: hubert.frm } Roger Alexander

1 0

FOTD 06-08-10 (Put It To The Test [6])
by Jim Muth 05 Aug '10

05 Aug '10

FOTD -- August 06, 2010 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image is perhaps more interesting than the image itself. It was created when I subtracted one part of Z^(-4.99) from 5 parts of Z^(-1.99) and added (1/C) on each iteration. When rotated 180 degrees, it appears as a Mandelbrot set gone wild. Instead of a main bay, we have a circular area of chaos with a cloverleaf pattern almost completely filling it. And the large bud on the X-axis has spread out into a secondary bay. Beyond this the main stem is well decorated with various kinds of stuff, none of which I have yet checked, though I might do so before the next FOTD. Today's image is located in a moth-eaten radical on the northern extremity of the western shore line of the spread-out large bud. To add a modicum of interest, I rendered today's image with the 'outside' set to 'tdis', which, as in today's image, usually creates a kind of terraced effect. In today's image, the improvement was not all that impressive however. As for the image itself -- it rates a humble 6 -- nothing to get excited about. The name "Put It To The Test" means whatever the viewer wishes. The calculation time of 5 minutes is a bit slow for an image that rates only a 6, but the wait may be avoided by viewing the image in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> If Thursday had been a little cooler, and we had had more rain on Wednesday, Thursday would have been a near ideal day here at Fractal Central. As it was, the high temperature of 90F 32C kept the fractal cats close to the cool spots, while the soil in FL's garden remains quite dry and dusty. My day was average. The next FOTD, for better or worse, will be posted in 24 hours. Until then, take care, and when one has nothing to day, he should say nothing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Put_It_To_The_Test { ; time=0:05:05.00-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.566250012964/-0.536299639162/5e+007\ /1/117.5/0 params=5/-1.99/-1/-4.99/0/0/0/0 float=y maxiter=10000 inside=0 outside=tdis periodicity=6 colors=000zzzfkPejPdiOchObgNafN`eM_cLZbLYaKX`KW_JU\ ZJTYISXIRWHQVHPTGOSFNRFMQELPEKODJADIACHACGABEA8FEB\ FIDGHFGHHHGJHFLIFNIEPJDSJCUKCWKBYKA_LAaL9cM8eM7hN7\ jN6lO5nO5pP4rP3tQ2uP3uO4sN5qM5nM6lL7iK7gJ8dJ9bIA_H\ AYGBVGCTFCQEDODELDEJEDIEDIEDIFCIFCIFCIFBIGBIGBIGAI\ GAIHAIH9IH9IH9II8IJ8II8IB3CI8IODOUIU_N_eSekXkqaqvf\ ywewwdvwcuwbtwbswaqw`pw_ow_nwZmwYlwXjwXirWhmVghUfc\ UeZQ_URVWSPXTKYUEZV9_WG`XNaYUbZ`c_gd`meakfbjgcihdg\ iefjfekgdlhbmianj`okZplYqmXrmWsmUtmTumSvmRwmPxmOzm\ NzmLzoKzpJzrIzsGzuFzvEzxAzwDywFxwHwwJvwLuvNtvPsvRq\ vTovVmvXjuZgu`dubeudfufguhgsigqigojgmjglkgjkghlgfl\ gdlgcmgamg_ngYngXogVogTogRpgPpgOqgMqgKrgIrgHsgFsgD\ sgBtg9tg8ug6ug4vg2vg1vh3uh5uh7uh9thBthCthEshGsiIsi\ KriLriNriPqiRqiTqiUqhVpgVpfVofVoeVndVndVmcWmbWlaWl\ aWk`Wk_Wj_WjZXiYXiXXhXXhWXgVXgTVfVXgXZhZ_i`ajabkcd\ lefmerPfqQhqRjpSkpSinRhmQ } 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] AOTD 8/3/10
by jimmckenzie＠earthlink.net 05 Aug '10

05 Aug '10

3 2

Already I'm Thinking of Christmas
by Roger Alexander 05 Aug '10

05 Aug '10

On my Christmas wish list-a utility to convert Fractint's 16 bit .pot files to a high color depth format like say png or tga. While the continuous potential coloring method overcomes some of the limitations of the 256 color limit of the gif format the proprietary .POT file format is only recognized by Fractint. I can do a screen capture in DOSBox but I am limited to a resolution of 1024x768. Does anyone know of such a utility or workaround? Now on to today's fractal, a veggie like thing from Fractint's built in fn+fn formula. Love that green! On display at http://maxitersfractalfollies.blogspot.com. fract334.gif { ; vegetation ; blank ; calctime 0:08:54.10 ; created Jul 27, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=fn+fn function=log/sin center-mag=0.987646/0.892526/26.69229/1/27.4999999999998685/-2.505634588\ 70090017e-014 params=0.1602221747489853/0/1/0 float=y maxiter=1000 bailoutest=or inside=0 proximity=25 outside=fmod cyclerange=0/255 colors=0Azzz0yz0xz0xz0wz0vz0vz0uz0ty0ty0sy0ry0ry0qy0py0py0oy0nx0nx0mx0lx\ 0kx0kx0jx0ix0iw0hw0gw0gw0fw0ew0ew0dw0cw0cv0bv0av0av0`v0_v0Zv0Zv0Yu0Xu0Xu\ 0Wu0Vu0Vu0Uu0Tu0Tu0St0Rt0Rt0Qt0Pt0Pt0Ot0Nt0Ms0Ls0Ks0Js0Js0Is0Hr0Hr0Gr0Fr\ 0Fr0Er0Dr0Cr0Cq0Bq0Aq0Aq09q08q08q07q06p05p05p04p03p03p02p01p00o00o00n00n\ 00n00n00m00m00m00m00l00l00l00l00k00k00k00k00j00j00j00j00i00i00i00i00h00h\ 00h00h00g00g00g00g00f00f00f00f00e00e00e00e00d00d00d00d00c00c00c00c00b00b\ 00b00b00a00a00a00a00`00`00`00`00_00_00_00_00Z00Z00Z00Z00Y00Y00Y00Y00X00X\ 00X00X00W00W00W00W00V00V00V00V00U00U00U00U00T00T00T00T00S00S00S00S00R00R\ 00R00R00Q00Q00Q00Q00P00P00P00P00O00O00O00O00N00N00N00N00M00M00M00M00L00L\ 00L00L00K00K00K00K00J00J00J00J00I00I00I00I00H00H00H00H00G00G00G00G00F00F\ 00F00F00E00E00E00E00D00D00D00D00C00C00C00C00B00B00B00A0 } Roger Alexander _________________________________________________________________ Turn down-time into play-time with Messenger games http://go.microsoft.com/?linkid=9734385

5 8

Bright and Flowery...
by Roger Alexander 04 Aug '10

04 Aug '10

All the colors of the rainbow and then some! A familiar feathery design with some floral colors. Ready made at our old friend http://maxitersfractalfollies.blogspot.com. fract346.gif { ; colors! ; blank ; calctime 0:40:25.34 ; created Aug 04, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_c.frm formulaname=C passes=1 center-mag=-0.79181098372966200/+0.00062979966611018/27630.42/1/180 float=y maxiter=1500 inside=0 colors=w0dv0bt0ar0_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 } frm:C { z=pixel c=3.141592653589793: z = log(c*pixel*z) + z |z| <= 50 ;SOURCE: hubert.frm } Roger Alexander

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FOTD 05-08-10 (North of the Minibrot [8])
by Jim Muth 04 Aug '10

04 Aug '10

FOTD -- August 05, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's curious scene lies near the tip of the long filament extending north from the large minibrot on the main spike of the Mandelbrot set, which explains the name "North of the Minibrot". The order-10 minibrot at the center bears a close resemblance to the exceptional minibrot that appeared in the FOTD of August 3, though the colors are not nearly as good, and the resulting rating is only an 8. Most of the textured effect in today's image is a result of rendering it with the 'inside' set to 'tdis'. A bit of the texture is also due to the slight loss of resolution at the extreme magnitude of 1.4*(10^13). This magnitude makes the mathtolerance entry necessary. The calculation time of 41 seconds is a blessed relief. Blessed relief may also be found on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heat and humidity reigned supreme here at Fractal Central on Wednesday. The temperature of 95F 35C kept the fractal cats glued to the cool air vent and the cool tile floor. A slight thunder-sprinkle around sunset cooled things a bit but added to the humidity. My day was about average. The next FOTD will be posted in 24 hours. Until then, take care, and if the truth is unpleasant, simply disbelieve it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= NorthOfTheMinibrot { ; time=0:00:41.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.769968690127393/+0.06084717103144003\ /1.458221e+013/1/28/0 params=10/1e+025/0/0 float=y maxiter=3600 inside=0 outside=tdis logmap=31 periodicity=6 mathtolerance=0.05/1 colors=000ZLc_Lb`M`aMZbNXcNVdNUeOSfOQgPOhPMiQKjQJk\ RHlRFmSDnSBnWCoSApO8qK6rH5sD3t91u60sHGzzzrrznmxkjv\ ihtgfrdepbcn`blZ`jW_hUYfSXdQVbNU`LSZJRXKWXHQWFLVCF\ U54WAAUGFTMLSSQRYWPc_OhdNkfNfbMgdLheLgeKedKbbJ``JX\ ZIVXHUVHSRGPRGNPFLNFJJEGGDFFDGFCEGCDEBBCB9AA89A9CB\ AEBAGCBICCKDCMDDODEQEETEFVFGXFGZFH`GIbGIdHJfHchHcj\ KcmMcoPmrRmtUmvWmuVrtVrsUrrUrsTztTzuTzvSzwSzxRzyRz\ zQzzQaiQLOM42J56K59L6CM6FN7IO7LP8OQ8RR9US9XTA_UAbV\ BeWBhXCkYCnYfGvbJu_LtXNsUPsRRrOUqLWpIYpF_oCan9cn8_\ k8Xh8Te8Qb7M_7JX7FU7CS9DUBEWDFYFG_GHaIIcKJeMKgOLiP\ MkRNmTOoVPqXQsYQuXTrXVpWYmW_kWbiVdfVgdUiaUl_UnYTqV\ TsTSvQSxOSzMTxOUwPVvQVtSWsTXrUXpWYoXZnYZmZYk`YiaXg\ bXecXdeWbfW`gVZhVYiVWkUUlUSmTQnTPpTNqSLrSJsSItPMqM\ QnJTkGXhD_eAcb8f`JVQTKFb94`B9ZDDXEIVGMTIQSJVQLZONb\ MOgKQkJRoLQlNPjPPhQOfSOcUNaWN_XMYZMW`LTUQXUPZVOaVN\ cVMeVLgVKiUImVJkWJiXKgYKe } 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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Imagine It to be a Web
by Roger Alexander 04 Aug '10

04 Aug '10

Today's fractal is not so much a spiral but a web-a web with no fractal spider in sight. Perhaps it is shy around people and is hiding. The maker may not be visible but I hope the virtual gossamer is eye pleasing. If you wish to spare the little critter the slight inconvenience of re-doing his handiwork go to http://maxitersfractalfollies.blogspot.com to see the fractal ready made. fract345.gif { ; sort of like a web ; blank ; calctime 0:04:32.38 ; created Aug 02, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_d.frm formulaname=ducks center-mag=-1.05855177291774800/+0.67151190441455780/587624.2 float=y maxiter=1500 inside=0 colors=w0dv0bt0ar0_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 } frm:ducks (xaxis) { z=pixel, t=1+pixel: z=sqr(z)+t |z|<=4 ;SOURCE: fixrch.frm } Roger Alexander

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AOTD 8/3/10
by JackOfTradeZ＠comcast.net 03 Aug '10

03 Aug '10

. Animation of "PersistenceOfSpace" (FOTD July 28, 2010) is posted. The strait zoom-in was dissapointingly lame, and tweaking the parameters gave nothing to praise, so I decided to try something I haven't yet done - zoom in while simultaneously varying parameters! It creates a unique effect - now worth posting. So it is a dive from e-2 to e+14 while varying p2 and p4 from 0 to 583 over 2900 frames. Too bad fractal animation wasn't available when Stanley Kubrick made "2001 Space Odyssey" in 1968, but it is available now so why is noone using it ?! http://www.fractal-animation.net/vid/stargate.zip You may not recognize the relationship to Muth's post until the end. .

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FOTD 04-08-10 (Coffee Plantation [7])
by Jim Muth 03 Aug '10

03 Aug '10

FOTD -- August 04, 2010 (Rating 7) Fractal visionaries and enthusiasts: When 2 parts of Z^(2.5) are subtracted from 2 parts of Z^(1.5), the resulting parent fractal is a not very impressive thing resembling a Mandelbrot set rotated 180 degrees, so that its spike faces east and its East Valley is on its west side. In addition to being backwards, the parent fractal has a main spike that splits halfway out into two branches, and an extra bud where the tip of East Valley would be expected to lie. Today's scene lies on the outside of the northern half of the split- apart East Valley. The image is divided about 50-50 between inside stuff and outside stuff. The inside stuff is brownish; the outside stuff is aqua. The 'outside' terraces were achieved by setting the outside to 'tdis'. The 'inside' herringbone effect came about when I set the inside to 'fmod'. When all this was finished, I had a rather interesting image that rates an honest 7. I named the image "Coffee Plantation" when something about it reminded me of coffee beans. The calculation time of 9-1/2 minutes is somewhat slow, so why not save time by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Another day passed uneventfully here at Fractal Central on Tuesday, which was marked by lots of clouds, a little sun, a sprinkle of rain, and a temperature of 84F 29C. The fractal cats enjoyed the day immensely. They slept. My day was average; FL kept herself busy planning the garden a neighbor wants FL to start in the neighbor's own yard. The next FOTD fractal will be posted in 24 hours. Until then, take care, and how many tesseracts exist in the universe? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Coffee_Plantation { ; time=0:09:35.78-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.05430963327358651/+0.012615651706820\ 92/3.641e+013/1/117.5/0 params=2/1.5/-2/2.5/0/0/0/0 float=y maxiter=2400 inside=fmod proximity=0.022 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000F44H34J25KA4KI3KQ2KX1Jd0ATA0CK2CK4DK6EK8\ GKBIKDKLFMMHONJQOMSOPWST_WXc__fdcihglmkprinqglpejo\ chnafm_emXdmVcmTbmRamP`mN_mKZnHRnEInB9n70mGFhPVbYi\ XgyRgwSftTeqUdnWZhXSaYLVZFO_8H`1Ab6LbCWbIgbLg`OgZS\ gXVhVZhTahReiOOcE5Y36VE7RQ8Oa9KmAGyDLrGQkJVdKS`LPW\ MLRNIMPEHUDO_CWdBcjAkp8shGq`OoTXlLdjDlh5ue8tcCraGq\ ZKoXOmVSlSWjQ_hNXhPUgRRfTNfVKeXHdZDcaFeaHhbKkcMmcO\ pdRseozqDUseHIjOVoWgi_ccc_YhWSlSMpOGuKGmIGdGGXEGOC\ HFAVFZiEwaIfUMPMQ7LO9KMCJKFIIIHGKGENFCQE9TKDPRILYN\ GdSCkX7u4ou6iv8cwBYwDRxGLyIFzL8ewUfrWgmZigajbdkYgm\ SjiSdeRZaRTYQNUQHQPBMO4M_4Ll4Ky3Oy7SxCXwH`wMdvRiuW\ kQCnQMrQWuQeyQpwRmuTisVfqWboY_m_WkaSsbfcfpOkzTklYj\ ZbiKbiKbiKciJciJdiIdiIehHaeHXaITYIOUJKRJFNKBJK6FLE\ FJNFGWGDcGAlG7uH4dSNObf6nzBkkHhWMeGSb0W_0_X1cT2gQ2\ kM3oJ4sF5lMEgRrgUrgXqg_pfbofeofhnfkmenldjebeYa`RbW\ JdSCbP4`O4WM4QH4KD4H84F54 } 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 03-08-10 (Enough is Enough [7])
by Jim Muth 02 Aug '10

02 Aug '10

FOTD -- August 03, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today we take another fractal trip to the crazy land of anti- bifurcation, which I have very recently discovered, (no, I was not the first), and begun to explore. Yesterday's FOTD was one of the best, yet to leave room for possible better images, I could rate it no higher than a 9.5. I have now solved the dilemma. When the ratings get above 9.5, I will approach a rating of 10 asymptotically. This way I can always give ratings that are closer to 10, yet never run out of room for a possible better image. Today's image gives no rating problem however. Due to its excessively chaotic appearance, it rates a humdrum 7. The parent fractal of today's image is a Mandelbrot set. The scene is located in a chunk of debris inside a half-morphed minibrot in an elephant trunk rather deep on the south shore line of East Valley of the parent M-set. Yesterday's far super- ior image had a similar location in a debris-filled minibrot near the tip of the main spike of the parent M-set. Clearly, I must learn more about this anti-minibrot stuff. I named the image "Enough is Enough" when I became annoyed with all the unwanted detail that fills the image, most of which is a horde of even smaller minibrots. The calculation time of almost exactly 3 minutes will allow the fractal visionary just enough time to prepare a drink that will enhance the impact of the image. For maximum impact, I suggest a glass of raspberry iced-tea. Those who do not consider tea their cup of tea may view the finished image equally pleasurably on the FOTD web site at: <http://www.Nahee.com/FOTD/> where it may be enjoyed at leisure in finished form. Monday here at Fractal Central brought a lot of nothing. The temperature of 84F 29C was normal, the partly cloudy skies were normal, the moderate humidity was normal, a sprinkle of rain in the morning was un-notable and mostly un-noticed. The fractal cats definitely took little notice of the outdoor conditions, since they never get to go outdoors anyway. They are usually more interested in being fed than being outside cats. My day was acceptable, which covers a lot of possibilities. FL was pleased when a neighbor asked her if she would be willing to extend our garden to the neighbor's grounds. FL is thinking about it. And I'm thinking about the next FOTD, which will be posted in 24 hours. Until then, take care, and I was walking down Market Street the other day, when I found the asymptote the man up the street had lost. I returned it to its rightful owner. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Enough_is_Enough { ; time=0:03:00.17-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip logmap=181 center-mag=+0.2657307376575294/-0.0031783250377311\ /4.631165e+013/1/-95/0 params=15/1e+020/0/0 float=y maxiter=4500 inside=0 passes=1 mathtolerance=0.05/1 colors=000MMKNPNORPPTSQVURXXSZZT`aUccTfecicclamo_m\ rYzrWzyVzvTttRrrPooNmlLmiJmfHmcFm_DcR2ULCKRLAWU0`T\ 0cT0fS0iS2lR3nR4nQ5mQ6lQ8lP9lPAlOBlrDkmEihFgeGf_Hd\ XJbUK`OLZKMWKKVINUKQYLTaMWdNZgPahQdiRfhReiSdkVcmWh\ oWmqXrsYvuYzwZzx_zu_zs`xpawnaumbskcqkcojdmjekielif\ lhgmhgnghogiogijefecd`aaX__ZYXcWVhUTmVRrWUvcczbmzh\ mzmmzhcvcUrbFmcEhdCceBZf9Ug8Ph6Ki5Fj3Ak25l04m03n03\ n02l02j42h81fC1dG1cJ0aN0_R0YV0WZ0Ub0Te4Yd9acEecJib\ NmbSqaXuaay`ez`fxagsbgochjdieeiaejXfkSgkOhlJilFinE\ huEhoEgkEghEgcEfYEfTEfOEeMEeKEeIEdGEdFEdEEcCEcBEcA\ Eb8Eb6Eb4Aa2Aa0Aa1AZ2AX3AU4AS5AP5AN6cL7cI8cG9cDAcB\ Ac97cE4cI5cA6c36c06cDBcGFcIJcLNcNSUQWUS_UVcUXgUZfU\ _fU_eU_eU_eU`dU`dU`dU`bUaaUb`UcZwzYwzXwzVwzUwzTwzR\ wzQwzPwzQwzRwzRwzSwzSwzTwzTwzUwzUwzVwzVwzWwzWwzXwz\ XwzYwzYwzZwzZwz_wz_wz`wz`wzXwzTwzPwzMwzIwzEwzBwzFw\ zIwzMwzPwzTwzWwz_wzbwzfwz } 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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FOTD 02-08-10 (Whereto From Here [9.5])
by Jim Muth 02 Aug '10

02 Aug '10

FOTD -- August 02, 2010 (Rating 9.5) Fractal visionaries and enthusiasts: Today's image uses only the first 50 or so colors in the color palette, yet rates an exceptional 9.5. I considered rating it at a 10, but a rating of a 10 is the absolute top, and if I had given a 10, there would be no higher rating available for an even better image. The image shows an order-17 minibrot lying on a filament in an anti-minibrot in a bit of debris in the interior of a half- morphed minibrot well out on the main spike of the parent fractal, which on the surface is a Mandelbrot set. The Seahorse Valley characteristics show that the chunk of debris lies in the Seahorse Valley area of the half-morphed minibrot. The calculation time of a mere 17 seconds is a bargain price to pay for a truly exceptional image. Viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> is also a real bargain. The Sunday weather turned out very nondescript here at Fractal Central, with lots of clouds, a little sun, a little rain, and a temperature of 79F 26C. The mighty fractal cats enjoyed every minute of it. My day was about as average as a day could be. The next FOTD will be posted in 24 hours. Until then, take care, and be just a bit wiser every day. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Whereto_From_Here { ; time=0:00:17.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.985473911539366/+0.00001054686779123\ /4.228413e+010 params=17/1e+034/0/0 float=y maxiter=1000 inside=0 logmap=16 periodicity=6 colors=000rzzmszhmzchzZdwUarPZmKWlLUiKSfJQcJO`IMYI\ KVHJSHHQGFPFDOFBNEALC8IA6E84A62661985FB8JDBLFFNGIP\ HLQmPSmSmmVVmZmmaZmdmmhamkmmndmkmmiZmgmmeTmbmm`OmZ\ mlXIoVGjYJf`MbbPYeSUhVQjYMm`HpcDrf9ui5wk8tmBqnEooH\ lqKjrMgsPetSbvV`wYYx_Wyfwuhvrivojulkuilufntcot`ptY\ qsVrsSssQrpRqnRqkRpiRpgRodRobRn`SmYSmWSlUSlRSkPSkN\ SkNR`HDgIAnJ6uK3rV5oe7lo8jj9ifAhbBgZBfUCeQDdMEcIE_\ QKXXQUcVQk`NrfKykWFGVGHVHIVIJUJJUKKULLTMLTMMTNNSON\ SPOSQPRRPRSQRTRRTRPWPNZNLaMJdKHgIFiHIhGKhFNhEPgERg\ DUgCWgCYfB`fAbf9de9ge8ie7ke7eVL_LYUBjP1wQ7vRDvSIvT\ OvTTvOXoK`hGcaBgV7kO3nH7h_Bf`Fe`Jd`NcaRbaUaaY`aa_b\ eZbiYblXbjWdiWfhWhfWjeWkdVmbVoaVq`Vs_Vt`Us`Ts`Sr`R\ r`Qq`Pq`Pp`Op`No`Mo`Ln`Kn`KnTSjLZfDeb6l_5kX5jV5iS5\ iQ5hN5gL5gJBjPGlULn_RqdWsj`uocqmfnkijilggndflbZk`S\ j`Tj`Tj`Uj`Ui`Vi`Vi`Wh`Wh`Xh`Xh`Yg`Yg`Zg`Zf`_f`_f`\ `e``e``e_ae_ad_bd_b4cg5hg } 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=========================================

3 2

The Fractal Pizza
by Roger Alexander 01 Aug '10

01 Aug '10

Today's fractal has an exaggerated value for fmod=outside and a cyanish map. To see the gif and re-sampled jpg go to http://maxitersfractalfollies.blogspot.com. Also posted is the latest in food fashion the meta-pizza. fract343.gif { ; exaggerated fmod ; blank ; calctime 0:05:49.60 ; created Aug 01, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=magnet_spirals2 center-mag=+1.16552687596869600/+0.77553556588734450/285.0645/1/62.50000\ 00000019114/-1.20822796212394223e-012 params=0/0/12000/0 float=y maxiter=1500 inside=0 proximity=2 outside=fmod periodicity=0 cyclerange=0/255 colors=atubuvcwwdxxfzzfzzeyydyydxxcwxbvwavwauv`tv_tuZsuYrtYqtXqsWpsVorVo\ rUnqTmpSlpRloRkoQjnPjnOimOhmNglMglLfkLekKejJdjIciHbhHbhGagF`gE`fE_fDZeCY\ eBYdAXdAWc9Wc8Vb7Ub7Ta6Ta5S`4R_3Q_2PZ2PZ1OY0NX1NX2OY3PY4QZ5R_6R_7S`8Ta9U\ aAVbCWcDXcEYdFZeG_eH_fI`gJagKbhLciMdiNejOfkPgkQhlRhmSimTjnUkoVloXmpYnqZo\ q_pr`qsaqsbrtcsudtueuvfvwgwxhxxiyykzzjyyixyhwxgwxfvweuvdtvcsubrtart`qs_p\ sZorYnqXmqWmpVloUkoTjnSinRhmQhlPglOfkNekMdjLciKciJbhIagH`gG_fFZfEZeDYdCX\ dBWcAVb9Ub8Ua7Ta6S`5R`4R_3QZ2PZ1OY0NX1NX2OY3PY4QZ5R_6S`7T`8Ua9VbAWcBXcCY\ dDZeE_fF`fGagHbhJciKdiLejMfkNglOhlPimQjnRkoSloTmpUnqVorWprXqsYrtZsu_tu`u\ vavwbwxcxxbwxavw`uvZtuYrtXqtWpsUorTnqSmpRkoPjnOimNhmMglKfkJdjIciHbhFagE`\ fD_fCYeAXd9Wc8Vb7Ta5S`4R_3QZ2PY0NX1OX2PY3QZ4RZ6S_7T`8Ua9VbAXbBYcDZdE_eF`\ fGafHbgIchKdiLejMfjNgkOhlPimRjnSlnTmoUnpVoqWprYqrZrs_st } frm:magnet_spirals2 (XAXIS_NOIMAG) { ;needs floating point! ;p2 is the bailout (default=1000) b=p2,b=b+(b==0)*1000 z=c=pixel: z=( (z*z+(c-1)) / (c*z+(c-2)) )^2-p1 |z|<b ;SOURCE: magnet.frm } Roger Alexander

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A Red Hot Spiral
by Roger Alexander 01 Aug '10

01 Aug '10

A gif and its resampled jpg in the same post. I should do this more often. Today's fractal is a self similar spiral(is there any other kind?). The hypnotizing pull of the rotating spiral - a staple of shlock cinema. While Fractint can't rotate the spiral it can color cycle which I especially like on the plasma type. fract341.gif { ; fire spiral ; blank ; calctime 0:02:08.15 ; created Jul 31, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=magnet.frm formulaname=magnet_cplxspirals center-mag=-4.34229156556823700/+0.04267698775271542/162.3188/1/-22.4999\ 999999958078/-2.82394940764874036e-012 float=y maxiter=1500 inside=0 logmap=18 periodicity=0 cyclerange=0/255 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:magnet_cplxspirals (XAXIS) { ;at the left end! ;needs floating point! z=c=pixel: z=( (z*z+(c-1)) / (c/z+(c-2)) )^2-2 |z|<100 } Roger Alexander

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FOTD 01-08-10 (The End of Nothing [8])
by Jim Muth 31 Jul '10

31 Jul '10

FOTD -- August 01, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is another example of an anti-minibrot, and quite a fine example at that. The ten arms do not converge on a basin with a minibrot at the center, they converge on a hill, though at this scale it would best be called a pimple. The name "The End of Nothing" indicates that nothing at all lies at the center of attraction. I would like to actually reach the center of the hill, but unfortunately, it is well beyond resolution. It is unlikely however, that much of interest would lie there. I doubt that the iteration count would drop as low as one, but I would like to see exactly how low it goes. (Like a limbo dancer.) The parent fractal is a Mandelbrot set with strange innards. Today's scene is located in the period-10 radical on the south- east shore line of the main bay, which probably explains the 10 converging arms. The rating of an 8 owes a full point to the coloring, which I actually spent nearly an hour on. Otherwise, the image is worth a not-bad 7. The calculation time of 2 minutes is a bargain for such an unexpected scene. Viewing the finished image on the FOTD web site is another bargain. The web site may be accessed at: <http://www.Nahee.com/FOTD/> The conditions were good here at Fractal Central on Saturday. The low humidity made the high temperature of 86F 30C felt quite pleasant. The only problem was the sky, which held too much of a gray tint and not enough kodachrome blue. The fractal cats slept through the afternoon. (The present fractal cats, Cassie and Nicholas, are actually the second set of fractal cats. The original fractal cats, Thomas and Tippy, are gone.) My day was busy keeping FL company while she checked the stuff other people threw out. But what the heck, I'm starting to rather enjoy these antiquing trips. The next FOTD will be posted in 24 hours. Until then, take care, and don't fall for the hype when the media tries to tell you what to worry about. Almost all of it is a pile of unmentionable stuff. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_End_of_Nothing { ; time=0:02:00.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=+0.33495779049007/-0.04673287557269554\ /3.830711e+012 params=23/1e+050/0/0 float=y maxiter=3200 inside=0 periodicity=6 sound=off colors=000zzgzzfxxevvduucttbssarr`qq_ooZmmYkkXkjWj\ iVihUhgTgfTfeSedSdcRcbQbaQa`P`_O_ZOZYNYXMXWMWVLVUL\ UTKTSJSRJSRIRQHQPHPOGONFNMFMLELKEKJDJICIHCHGBGFAFE\ AED9DD8CC8BB7AA79968857A58C49E3AG4BI6CK8DMAEOCFQEG\ SGJTIKUKLUMMVKMWIMWGLUEKSCIQAGO8EM6CK5AI38G27E06C0\ 5A0680860A40C20E00G00I00K05M0AO0FQ0KS0PU0UW0ZV0WT0\ UQ0RO0PL0MJ0KG0HE0FC0C90A707405202LkpKipKhpJgqJfrI\ esIdtdiqchmhgimgerfaweZwdWwdWwcVwbVraUmaUm`Tm_SmZS\ mZRmYRmXQmXQmWPmVOmUOmUNcTNWSMORLORLNQKMPKMOJLOJLN\ IKMHJMHJLGIKGHJFHJFGIEGHDFHDFGDEGCDFCDEBCDABDABC9A\ B99B89A8897786786675565554454343332222121111000z1z\ x0vv0rt0mr0ip0en0al0Yk0Wh0Uf0Td0Sc0R`0PZ0OX0NV5MTA\ LRFJQKIOPHMUGKZEJcDHhCFmBDr9Cv8Az78z66z45z33z26z1B\ zXFzWKzVPzUUzUZzTczShzRmzRrzQvzPzzPzzOzzNzzMzzMzzL\ zzKzzKzzJzzIzzHzzHzzGzzFzzFzzEzzDzzCzzCzzBzzAzzAzz\ 9zz8zz7zz7zz6zz5zz5zz4zz3 } 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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Some Fractals Like Blue Maps
by Roger Alexander 30 Jul '10

30 Jul '10

Choosing a palette can be a distraction, I used a blue map for this fractal. The URL http://maxitersfractalfollies.blogspot.com is still valid and active for those who want a pre-calculated gif fract337.gif { ; blue feathers ; blank ; calctime 0:17:32.09 ; created Jul 30, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_t.frm formulaname=Tc03-12 passes=1 center-mag=+0.03819734590197747/+0.00956944867672783/1242099 params=0/0 float=y maxiter=1500 inside=0 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 } frm:Tc03-12 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; = 2(2z-1)Tc(2)-Tc(1) const=pixel, z=p1: z=((z+z)*(16*z*z-15)+8)*const |z|<100 ;SOURCE: chby12.frm Roger Alexander

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FOTD 31-07-10 (No Minibrot Here [7])
by Jim Muth 30 Jul '10

30 Jul '10

FOTD -- July 31, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows an anti-minibrot, or maybe a negative minibrot, depending on what one chooses to call fractal hills instead of basins. Whatever the thing in today's image is called, it is the opposite of a minibrot. The area with the lowest iteration count lies at the center rather than at the edges, and the number of elements is arranged in decreasing powers of two as the center is approached rather than in increasing powers of two. This arrangement makes a mockery of Fractint's automatic logmap feature, which sets the logmap to the lowest iteration count it finds at the edges of the frame. In today's image the lowest count is at the center, causing the automatic logmap feature to set the logmap to a number that is far too high. The parent fractal is a normal Mandelbrot set -- normal on the surface, that is. In its depths, where today's image lies, it is anything but normal. The deeper one dives into the parent, the more things take on order-16 characteristics. Today's scene is located in a bit of debris in the main bay of a half-morphed minibrot lying in the trunk of an elephant on the southeast shore line of the large minibrot on the west branch of the filament extending from the period-3 bud on the north shore line of the main bay of the parent Mandelbrot set. (After reading this guide I doubt I'll ever find the location.) I named the image "No Minibrot Here". There certainly are minibrots in the arms, but they lie well beyond resolution. The rating of a 7 shows that I rather like the image. The calcula- tion time of 2-1/3 minutes means the image is an efficient one. Calculation may be totally avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> The weather was perfect here at Fractal Central on Friday, with a temperature of 82F 28C, low humidity and mostly sunny skies. The fractal cats made the most of things when they started chasing each other up and down the hallway, filling FC with the rumbling thunder of cat-paws. My day was uneventful; FL's day was the same. I hear rumors that an antiquing trip is planned for tomorrow, so if the next FOTD is late, you will know why. Until whenever, take care, and with all the cameras in circulation, why has no one ever gotten a clear photo of a bigfoot? Could it be that bigfoot is nothing more than another fantasy, believed by those who want to believe? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= No_Minibrot_Here { ; time=0:02:20.87-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.1543020574040948/+1.030334624147516/\ 4.524186e+009/1/50/0 params=16/1e+050/0/0 float=y maxiter=1500 inside=0 logmap=162 periodicity=6 colors=000zczwczwczwcvwcrwcmwchuccscZqcUocPmcKmcGm\ cBmcAmcCmcEmcFmcHmcJmcKmcMmcOmcPmhRmmRchSccScZScUS\ cPSZKSZGSZDSZBSU8SU6SU1WU4SU7PU9MOCJOEGKHDGJABM7AO\ 4_fS0rz0rz0rz0rz0rz0rz0rza43a55a67a79a8Ba9CaAEaBGa\ CIaDJaELaFNaGPaGQ`FU_EXZD`YCcXDgWEjVGnUIqSKvTOtUQs\ VSrWUqXWpXYoY_nZam_ch`ec`gZaiUckUhmUmoUrrUvqUxoUvn\ UrmUmlUhkScjQZiSUhQPhNKgLFfJAeG9dE7cB6b95b74_64X64\ U54R54O44L44I44F34C3492462442885CB7GEAKICOLFLfeMhc\ NiaOj_PhXUeU_bReYOkSLmMIpGFq3Cr79r86p93pA6nB8lCAjD\ ChDEfEGdFIcGJaHL_INYIPWJRUKTSLVQMXONZNN_PLaRKbTJdV\ IeWGgYFh_EiaDkbBldAnf9oh8pi6rk5sm4uo3vp2wrBzsJzpYz\ nlzlzzAAAAAAAA7CAAEACGBEH9GICHIFIIIIIKJINKIQKJSLJV\ MJYMJ_NJbNJeOKgPKjPKmQKoRKrRKuSKwSJtRIrRHpRHnRGlRF\ iREgREeRDcQCaQBZQBXQAVQ9TQ8RQ8PQ6VU5`Y4fa3le2qi1pj\ 1oj1nj1nk1mk1lk1ll1kl0jl0jm0im0hm0hn0gn0fn0fn3em5e\ l8ekAejCejFeiHehKdgMdfOdf } 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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Blue Mandelbrots
by Roger Alexander 30 Jul '10

30 Jul '10

The formula name and appearance of today's fractal suggests both the inside and outside coloring is a derivative of the bof algorithm but I'm no mathematician. Ready made at http://maxitersfractalfollies.blogspot.com fract336.gif { ; blue mandelbrot ; blank ; calctime 0:42:38.10 ; created Jul 30, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=bof.frm formulaname=bof60_man center-mag=-0.15835464320625550/+1.03421851368970000/64.10256 params=64/0 float=y maxiter=3500 inside=0 decomp=256 periodicity=0 cyclerange=0/255 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 } frm:bof60_man {; Kerry Mitchell 04feb98 ; ; records the iterate which is closest to the origin ; and colors by (the log of) its magnitude ; Mandelbrot variation ; ; real(p1) = bailout (try 4) ; calculation performed on variable zc, z used for coloring ; use decomp=256 ; zc=0, c=pixel, iter=1, r=|zc| maxr=real(p1), minr=maxr: iter=iter+1, zc=sqr(zc)+c, r=|zc| ; ; check to see if iterate is closer to origin ; if so, remember this minimum distance ; IF (r<minr) minr=r ENDIF ; ; bailout--escape or maximum iterations ; set "iteration done" flag (iter-1) ; take log of minimum distance, use as angle for ; decomp coloring ; IF ((r>maxr)||(iter==maxit)) iter=-1 angle60=log(minr) z=cos(angle60)+flip(sin(angle60)) ENDIF iter>0 ;SOURCE: bof.frm } Roger Alexander _________________________________________________________________ Learn more ways to connect with your buddies now http://go.microsoft.com/?linkid=9734388

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FOTD 30-07-10 (The Inner Circle [7])
by Jim Muth 29 Jul '10

29 Jul '10

FOTD -- July 30, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "The Inner Circle". The name has nothing to do with a secret society; it refers to the unusually well defined order-23 minibrot that nearly fills the frame. Actually, the minibrot has some mathematical difficulties. The minibrot itself has 22 lobes, which is just what would be expected; and there are 23 peach-colored elements immediately surrounding the minibrot, which is just as it should be. But beyond here things go drastically wrong, for there are only 20 fractal arms radiating from the minibrot, and this is certainly not the number of arms that should be there. The scene is located in the period-10 radical on the southeast shore line of the parent fractal, which on the surface is a perfect Mandelbrot set. I assume that the period-10-ness is somehow mixed up with the order-23-ness to create exactly 20 arms, though regardless of how I combine the numbers, I can't make it come out right. It really doesn't matter however. The minibrot by itself is impressive enough to rate a 7, which is no small feat for a fractal that is basically a glorified circle. The calculation time of just under 3 minutes will pass in a flash. The trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is posted, will pass in half a flash. The image is also filled with numerous anti-minibrots. I might dredge up one and present it as tomorrow's FOTD. A morning shower was followed by partly cloudy skies, lower humidity and a temperature of 86F 30C here at Fractal Central on Thursday afternoon. The fractal cats agreed -- they stretched on the tile floor and slept until the sun went down. My day was busy; FL's was the same. The next FOTD will be posted in 24 hours. Until then, take care, and they say that nothing can escape a black hole. If this is so, how does the gravity escape? (It's an obvious question that I have never seen satisfactorily answered.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Inner_Circle { ; time=0:02:58.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=+0.334957790435/-0.046732876989/3.1e+008 params=23/1e+050/0/0 float=y maxiter=3200 inside=0 logmap=400 periodicity=6 colors=000omcombomaom`om_nlZmkYljXkiWjhVigUhfTgeTf\ dSecSdcRcbQbaQa`P`_O_ZOZYNYXMXWMWVLVULUTKTSJSRJSRI\ RQHQPHPOGONFNMFMLELKEKJDJICIHCHGBGFAFEAED9DD8CC8BB\ 7AA799688577566455344433622815A0AC5FEALGFRIIWKKZML\ _KM_IMWGLTEKQCINAGK8EH6CE5AB3882750620500500400300\ 300200100100000i1kf0hd0ea0c_0`X0ZV0WT0UQ0RO0PL0MJ0\ KG0HE0FC0C90A707405202LkpKipKhpJgqJfrIesIdtdiqchmh\ gimgerfaweZwdWwdWwcVwbVraUmaUm`Tm_SmZSmZRmYRmXQmXQ\ mWPmVOmUOmUNcTNWSMORLORLNQKMPKMOJLOJLNIKMHJMHJLGIK\ GHJFHJFGIEGHDFHDFGDEGCDFCDEBCDABDABC9AB99B89A88977\ 86786675565554454343332222121111000z1zx0vv0rt0mr0i\ p0en0al0Yk0Wh0Uf0Td0Sc0R`0PZ0OX0NV5MTALRFJQKIOPHMU\ GKZEJcDHhCFmBDr9Cv8Az78z66z45z33z26z1BzXFzWKzVPzUU\ zUZzTczShzRmzRrzQvzPzzPzzOzzNzzMzzMzzLzzKzzKzzJzzI\ zzHzzHzzGzzFzzFzzEzzDzzCzzCzzBzzAzzAzz9zz8zz7zz7zz\ 6zz5zz5zz4zz3zz2zz2zz1zz0 } 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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I'm On a First Name Basis With This Fractal
by Roger Alexander 28 Jul '10

28 Jul '10

After reading the formula name of today's fractal (hermanm_man-cart) I realized I had the pleasure of making the aquaintance of Herman Minibrot of the south-side Minibrots. For an instant encounter with Mr. Minibrot go to http://maxitersfractalfollies.blogspot.com no invitation required. fract335.gif { ; I like the colors ; blank ; calctime 0:08:07.84 ; created Jul 28, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=hermanm_man-cart center-mag=-1.98717456210925500/-0.00365303064774690/726.036/1/-97.49999\ 99999995168/3.88578058618804789e-016 params=3/2/0.9481490524002808/0.4500259407330546/2.049745170445875/-0.59\ 7888119144261 float=y maxiter=1500 inside=0 outside=atan colors=000503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1EJ1EK1\ FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03z07z0B\ z0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0hz0fz0d\ z0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00y10x20\ v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2SJ2RK2\ PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D19E1AF1\ AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah19k18m1\ 7p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf0zh0zk\ 0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ0zH0zE\ 0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2IM2HK2\ GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201302403 } frm:hermanm_man-cart { ; Kerry Mitchell 16feb98 ; ; real(p1) = z exponent (use integer >= 2; m=n-1) ; imag(p1) = g exponent (integers) ; p2 = alpha ; real(p3) = critical point selector (>0 for positive root) ; imag(p3) = unused (<0 for negative root) ; use decomp=256 ; zero and infinity bailouts hardcoded to 1e-6, 1e6 ; coloring speed hardcoded to 4 ; c=pixel, iter=1, n=real(p1), m=imag(p1), nfac=2*n-1 maxr=1e6, minr=1/maxr, speed=4*pi/128, alpha=p2 oln=1/log(n), fac=log(0.5*log(maxr)) c2=sqr(c), hypnum=sqr(n)+sqr(m), pn=1 hypden=sqr(n-m), hypfac=hypnum/hypden if (real(p3)<0) pn=-1 end if if (real(c2)>hypfac) pn=-pn end if if (imag(c)<0) pn=-pn end if afac=c*n, bfac=c2*(n-m)+(n+m), cfac=c*n d=sqrt(bfac*bfac-4*afac*cfac) z=(bfac+pn*d)/(2*afac) : g=(z-c)/(1-c*z), z=alpha*z^n*g^m iter=iter+1, r=|z| ; ; orbit trap around 0 ; renormalize iteration count via decomp angle ; set "iteration done" flag (iter=-1) ; if (r<minr) angle=(iter+oln*(fac-log(log(cabs(z)))))*speed z=cos(angle)+flip(sin(angle)) iter=-1 end if ; ; orbit trap around infinity ; renormalize iteration count via decomp angle ; add pi to angle to separate from 0 orbit trap ; set "iteration done" flag (iter=-1) ; if (r>maxr) angle=(iter+oln*(fac-log(log(cabs(z)))))*speed angle=angle+pi z=cos(angle)+flip(sin(angle)) iter=-1 end if iter>0 } Roger Alexander _________________________________________________________________ Learn more ways to connect with your buddies now http://go.microsoft.com/?linkid=9734388

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FOTD 29-07-10 (In a Half-Elephant [7])
by Jim Muth 28 Jul '10

28 Jul '10

FOTD -- July 29, 2010 (Rating 7) Fractal visionaries and enthusiasts: The warhorse Mandelbrot set came through again on Wednesday, when I needed a fractal in a hurry. On a whim I checked the period-10 radical on the southeast shore line of the main bay. This is where the East Valley elephants are just starting to take shape, which explains the name "In a Half-Elephant". Searching deep in a remote spiral, I found today's minibrot. I brought the scene to life by rendering it with the outside set to 'tdis'. This option raises the calculation time from 5 seconds to 7 minutes, but the result is worth the wait. The image is something rather new from the M-set. The rating of a 7 shows that I consider the image a rather unexpected one to come from the familiar M-set. The calculation time may be cut from 7 minutes to 5 seconds by changing the 'outside' from 'tdis' to 'iter', but doing this misses all the fun. The finished image is available as usual on the FOTD web site at: <http://www.Nahee.com/FOTD/> The heat and humidity returned to Fractal Central on Wednesday, when the temperature reached 93F 34C and the fractal cats took up residence on the cool tile floor in the kitchen. My day was very busy but reasonably under control. The next FOTD will be posted in 24 hours. Until then, take care, and be a live wire, but don't ever touch one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_a_Half-Elephant { ; time=0:06:59.06-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.3292132289218\ 112/-0.0584684638516551/1.284794e+011/1/23.7/0 params=0/0 float=y maxiter=15000 inside=0 bailout=9 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000NwnMwmLwmKwmIvlHvlGvlFvkEvkDvkBujAuj9uj8\ ui7ui6ui5ui6rj7ok8mk9jlAgmBemBbnC_nDYoEVpFSpGQqHNr\ HKrIIsJFsKCtLAuM7uN4vN2vMBpLKjLSeK`_KhVMfWOeWQdWRb\ WTaWV`WXZWYYW_XXaVXcUXdTXfRXhQXjPXkOXjYbighhqnhzsi\ triorjjqjeqk`pkWpkQolLolGnmBnm6mm1miBoeLqbUsZcuWlw\ RmoNmhJm`FmUBmM7mF3m87iGAeODaWGYcJUjKVhKVgKWfKWeLX\ dLXbLXaLY`MY_MZZMZYMZWN_VN_UN`TN`SLUYMXVNZTN`RObPO\ dNPfLPhJQkHRmFRoDSqBSs9Tu7Uz4Tw5Su5Rs5Qp5Pn5Ol5Nj5\ Mg5Le5Kc5Ja5JZ6IX6HV6GT6FQ6EO6DM6CK6BH6AF69D6B54A8\ 59B68E77G76J8cM9cPAURA2UBcXC0_Dc_80`B0az0bF0cz0cJ0\ dz0cN0pP0cRcmUccW0im0c_0ja0cc0le0Ug0mi4Uk8llCUmGko\ KUpOhq`EZ`S_peRvjIttIzzIpuIzzImvIzzIiwIgwIfwIesLeo\ OdlQdhTdeVcaYcZ_cVbbSdbOgbLiaNgaPeaRcaSaaU`aWZaUXa\ ZVaUTabSacQaeOacMaiLacJalHacFapDzrCamAzu8am6zx5NbG\ 9HQ8KR8MS8OT8QT8SU8UV8XW8ZW8`X7bY7dY7fZ7i_7k`7m`7o\ a7qb89w4vc7sb9qaBo`PwnOwn } END PARAMETER FILE=========================================

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FOTD 28-07-10 (Persistence of Space [7])
by Jim Muth 27 Jul '10

27 Jul '10

FOTD -- July 28, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows the last midget out the main spike of the Mandelbrot set that is large enough to be resolved with conventional math. The little fellow is centered around -1.999999117587324 on the X-axis. But whatever you do, don't be expecting an everyday minibrot when you run today's parameter file. Even I have no idea of how the scene is oriented. We're in the fourth dimension here, and the angle of today's image was found at random by the evolver feature of Fractint. To add to the confusion, the scene was rendered with the 'outside' set to 'fmod' with a proximity of 1.5, which changes the normally solid outside parts to a series of rubbery, melting loops. And it goes without saying that I did ample stretching and skewing to create the image. The melting loops in the image remind me of a famous but rather strange painting of melting watches draped over a dead tree limb in the middle of nowhere, so I named the image "Persistence of Space". (Actually, the artist was more obsessed with crutches than watches.) The rating of a 7 indicates that in my opinion the image is notably superior to yesterday's. The calculation time is a very brief 20 seconds, and even this brief time may be saved by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> and thereby avoiding the calculation. Tuesday turned into a repeat of Monday here at Fractal Central. The temperature reached 86F 30C with low humidity, while the sky remained spotted with kodachrome clouds. The fractal cats remained lazy. My day was busy enough, and if all goes well, tomorrow will be a repeat. The next FOTD will be posted in 24 hours. Until then, take care, and I guess we're alone. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PersistenceOfSpace { ; time=0:00:20.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.00000000000344397/+0.000000000002282\ 92/3.695823e+011/0.1358/35.8120960583612629/-42.57\ 16308875028773 params=-2.105319376201666/145.16220\ 58778649/0/134.0351573229163/-1.999999117587324/0/\ -1.999999117587324/0/2/-5 float=y maxiter=2147 inside=0 proximity=1.5 outside=fmod symmetry=none periodicity=0 mathtolerance=0.05/1 colors=000H5WF1XH4WI7VJAVKCULFTNITOLSPNRQQRRTQSVQU\ YPV`OWcOXeNYhM_kM`nLapKbsKcvJbyGdxJexLfwOgwQhwTivV\ jvYkv_luamudntfotiptkqsnrspruussrsrotpltoiumfuldvj\ aviZvgWwfTwdRxcOxaLy`IyZFzWCyYDxZEw_Fv`GuaHtbIsdJr\ eKrfKqgLphMoiNnkOmlPlmQknRkoRjpSirThsUgtVfuWevXdwY\ dxYZnWTdUNVTHLRBBP51O95PD9PHDPLHQOLQSPQWSR_WRb_Rfc\ SjgSnkSuoPqnSnmUjmWglYck_`kaXjcUjeRihNhjKhlGgnDfp9\ fr6et1fx3ev5eu7et9dsBdrDdpFcoHcnIcmKblMbjObiQahSag\ UafW`dX`cZ`b`_ab_`d_ZfZYhZXjZWkZVlWYmU_mSbnPdnNgoL\ ipMvoJkoHanFRnDHnB7jIAfPDfOFfOHfOJfOLfNMfNOfNQfNSf\ MTfMVfMXfMZfM`fLafLcfLefLgfKhfKjfKlfKnfKodJmbIl`Hk\ ZHjXGiVFhUFfSEeQDdODcMCbKBaVGLJB`43n76o99oBBoDEpFG\ pHJpJLpLOqNQqPTqRVqQWoQXnQYlQZkQ_iQ`hQagQbeQcdQdbQ\ eaQf_QgZQhYPiWPjVPkTPlSPmQPnPPoOPpMPqLPrJPsIPtGPuF\ PvEQuFRtFStFTsFUrFVrFWqGXpGYpGZoG_nG`nG`mHamHblHck\ HdkHejHfiIgiIhhIigIjgIkfI } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Organic Reds
by Roger Alexander 26 Jul '10

26 Jul '10

A clutch of blood red dragon eggs found in the secret chambers of a powerful wizard. Speaking of wizardry the speed at which you access the finished fractal at http://maxitersfractalfollies.blogspot.com is almost magical. fract333.gif { ; blood red dragon eggs ; blank ; calctime 0:17:53.24 ; created Jul 26, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=frac_ml.frm formulaname=kpassion_balls function=cos center-mag=-1.7622/0.000751252/42.46501 params=0.1/0/2/128/0/0 float=y maxiter=1500 inside=atan outside=summ periodicity=0 colors=0000czF00F00F00F00F00G00G00G00G00H00H00H00H00I00I00I00I00I00J00J0\ 0J00J01K01K01K01K01L01L01L01L01L01M01M01M01M01N01N01N01N01O01O01O01O02O0\ 2P02P02P02P02Q02Q02Q02Q02R02R02R02R02R02S02S02S02S02T02T02T03T03U03U03U0\ 3U03V03V03V03V03V03W03W03W03W03X03X03X03X03Y03Y03Y04Y04Y04Z04Z04Z04Z04_0\ 4_04_04_04`04`04`04`04`04a04a04a04a04b04b05b05b05c05c05c05c05c05d05d05d0\ 5d05e05e05e05e05f05f05f05f05g06h06h06h06h06h16h17h17h27i27i28i38i38i38i4\ 9i49j49j59j5Aj5Aj5Aj6Aj6Ak6Bk7Bk7Bk7Bk8Ck8Ck8Cl9Cl9Dl9DlADlADlAElBEmBEmB\ EmBEmCFmCFmCFmDFnDGnDGnEGnEGnEHnFHnFHoFHoGIoGIoGIoHIoHIoHJpHJpIJpIJpIKpJ\ KpJKpJKqKLqKLqKLqLLqLMqLMqMMrMMrMNrMNrNNrNNrNNrOOsOOsOOsPOsPPsPPsQPsQPtQ\ QtRQtRQtRQtSRtSRtSRuSRuTRuTSuTSuUSuUSuUTvVTvVTvVTvWUvWUvWUvXUwXVwXVwYVwY\ VwYVwYWwZWxZWxZWx_Xx_Xx_Xx`Xx`Yy`YyaYyaYyaZybZybZybZzc_ } frm:kpassion_balls {; variant of Paul W. Carlson and Kerry Mitchell ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the size of the balls ; imag(p1) = number of iterations to skip ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; ; Note that the equation variable is w, not z. Always ; initialize z to zero. ;**************************************************** w = 0 c = pixel z = 0 bailout = 0 iter = 0 range_num = 0 skip = imag(p1) k=real(p3) r=imag(p3) ;**************************************************** ; In the accompanying par file, mndballs.par, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 0 when |w| >= 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 0 is reserved for the background color and color ; 255 can be used for the inside color. ;**************************************************** num_ranges = real(p2) colors_in_range = imag(p2) ;**************************************************** ; Real(p1) controls the size of the balls. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** ball_size = real(p1) index_factor = (colors_in_range - 1) / ball_size : ;**************************************************** ; The equation being iterated. Almost any equation ; that can be express in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w =w*w + c c= c + k*fn1(w) ;**************************************************** ; If the orbit point is within the specified distance of a circle, ; set z to the index into the colormap and set the bailout flag. ;**************************************************** IF (iter > skip) wr = real(w), wi = imag(w) d = wr * wr + (wi - .5) * (wi - .5) IF (d < ball_size) bailout = 1 delta = ball_size - d ELSEIF (wr * wr + (wi + .5) * (wi + .5) < ball_size) d = wr * wr + (wi + .5) * (wi + .5) bailout = 1 delta = ball_size - d ELSEIF ((wr - .5) * (wr - .5) + wi * wi < ball_size) d = (wr - .5) * (wr - .5) + wi * wi bailout = 1 delta = ball_size - d ELSEIF ((wr + .5) * (wr + .5) + wi * wi < ball_size) d = (wr + .5) * (wr + .5) + wi * wi bailout = 1 delta = ball_size - d ENDIF ENDIF IF (bailout) z = index_factor * delta + range_num * colors_in_range + 1 ENDIF ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter = iter + 1 z = z - iter ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout == 0 && |w| < 1000 ;SOURCE: 98msg.frm } Roger Alexander _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386

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FOTD 27-07-10 (Wiggly Squiggly [5])
by Jim Muth 26 Jul '10

26 Jul '10

FOTD -- July 27, 2010 (Rating 5) Fractal visionaries and enthusiasts: An image recently posted on the Fractint list resembles a fleet of shiny alien space craft deploying in outer space for an attack on earth. When I was a far younger person, (think age 20), I kind of believed in (or hoped for) aliens from space visiting earth. I assumed that all those reports of unidenti- fied flying objects and all those fuzzy photographs could not possibly all be wrong. I supposed that someone with a good camera would eventually take a clear photo of one of the alien ships and perhaps even a clear photo of an alien itself. Too bad I had to change my mind. The belief was a lot of fun. Today it is becoming blatantly obvious that all the reports of aliens and their ships, as well as all the fuzzy photographs, are nothing more than a lot of fun, and always have been. The thing that changed my mind is the fact that nowadays there are billions of people traveling about with ready-to-aim-and-shoot cameras, yet as far as I know, not a single clear picture of an alien space craft has ever been taken. By this time, if the aliens actually were here, the laws of chance alone would have produced hundreds, even thousands of clear photographs of the aliens and their ships. What a let-down. But there is a consolation prize. When I was a far younger person, (20), I thought all the reports of paranormal phenomena were a pile of wishful-thinking stuff. Since then however, I have had enough personal experiences to convince me, despite the rational disagreement of skeptics, that this universe of ours has more dimensions and more unknown stuff happening than we can imagine, and a growing number of physicists seem to share my opinion. See what a simple fractal fleet of alien space ships can do! Today's FOTD fractal makes no such grandiose claims. It is simply a scene in the Z^(2.5)+C Mandeloid as it appears 20 levels up the ladder when no function is applied. Being purely of average quality, the image rates a purely average 5. The name "Wiggly Squiggly" has nothing to do with an old cartoon rabbit. It simply describes a marginally impressive aspect of the image. The best feature of today's FOTD is the calculation time of 5-2/3 minutes, most of which can be saved by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> BTW, I usually prefer simplicity in my designs, but the new FOTD logo might be a bit too simple. I might consider adding some interesting but not distracting fractal patterns to the sides of the central gothic arch. I am undecided. Absolutely perfect weather held forth all day Monday here at Fractal Central. The temperature of 81F 27C was made even more pleasant by low humidity, while the kodachrome blue skies and puffy white clouds added the perfect backdrop. (Too bad they no longer make Kodachrome film.) All this perfection passed far over the fractal cats' heads. They spent most of the day sleeping. My day was average; tomorrow will likely be a repeat. The next FOTD will be posted in 24 hours. Until then, take care, and keep looking up. You probably will see no alien ships, but the sky is filled with countless other equally interesting things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wiggly_Squiggly { ; time=0:05:40.93-SF5 on P4-2000 reset=2004 type=formula formulafile=bsoios.par formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.225325131960761/-0.2874129121123403/\ 1159076/1/102.5/0 params=2.5/0/20/0 float=y maxiter=12500 inside=0 logmap=425 periodicity=6 colors=000exzWIIVLIUNHUQGTSFSVERYDQ_CQbBPdBOgANi9M\ l8Mn7Lq6Ks5Jv4Jx4Lv5Mt5Or6Pp6Rn7Sm7Tk8Vi8Wg9Ye9ZdA\ _bAa`BbZBdXCeVCfUDhSDiQEkOElMFmLFsLHxLIvJJuIJsHKrG\ KqFLoDLnCMmBMkANj9Ni8NkAPlBQnCSoETqFVrGWsHXiNY_TZQ\ YZSX_TX`UXaVXbWXcXXdYXeZWf_Wg`WhaWibWjcWkdWlfQngKo\ hEpi8qj8qj8pj9pk9pk9pk9pkBnkDlkEjkGhkIfkJdkLbkMagO\ `cP_`QZXRYTSXQUWMVVIWUFXTBYS8ZRDaSIcTNfUShVXjWamXf\ oYkrZpt_tv`uwauwauwauwauwauwbvwbvwbvwbvwbvwcvwcvwc\ wwcwwcww9wwDwwdzwOwwdzjKon`cimWeXccV_XTWTRSOPOKNLG\ MLEJLCHLBFKCGKDHKEIJFIJFJJGKJHLIILIJMIJNIKOHLOHMPH\ NQHNRGORGPSGQTGQTFNYFLaFJfFHjENgESeDYbDb`CgZhmWhmU\ hmShqRhpRhpRmoQmoQmnQmnPmmPmmPmlOzkOzkOzjNzjNziNzi\ MzzMzzMzzLzzLzzLzzKzzKzzKzzJzzJzzJzzIzzIzzIzzIzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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B.S.O.I.O.S.
by Roger Alexander 26 Jul '10

26 Jul '10

Today's post is an artist's conception of B.S.O.I.O.S. - bright shiny objects in outer space. I feel it has that cosmic air to it. Go to the usual http://maxitersfractalfollies.blogspot.com. and avoid the fuss and bother of finding a virtual telescope to gaze into the cyber heavens. fract331.gif { ; bright shiny objects ; blank ; calctime 0:02:37.80 ; created Jul 25, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=chby4.frm formulaname=Sc02-04 center-mag=0.197104/-0.586956/2.76891/1/90/3.88578058618804789e-016 params=-0.6420178838465529/-0.3789483321634571 float=y maxiter=12000 inside=0 outside=atan colors=000yzzxyzxyzwyzwyzvxzvxzuxzuwztwztwzswzrvzrvzqvzquzpuzpuzouzotznt\ zntzmtzmszlszlszkrzjrzjrzirziqzhqzhqzgpzgpzfpzfpzeozeozdozdnzcnzbnzbnzam\ zamz`mz`mz_lz_lzZlzZkzYkzYkzXkzXjzWjzVjzVizUizUizTizThzShzShzRgzRgzQgzQg\ zPfzPfzOfzNfzNezMezMezLdzLdzKdzKdzJczJczIczIbzHbzHbzGbzFazFazEazE`zD`zD`\ zC`zC_zB_zB_zA_zAZz9Zz9Zz8Yz7Yz7Yz6Yz6Xz5Xz5Xz4Wz4Wz3Wz3Wz2Vz2Vz1Vz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0U\ z0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uz0Uy0Uy0Uy1Uy2V\ y2Vy3Vy4Wy4Wy5Wy6Xy6Xy7Xy8Yy9Yy9ZyAZyBZyB_yC_yD_yD`yE`yF`yFayGayHbyIbyIb\ yJcyKcyKcyLdyMdyMdyNeyOeyOfyPfyQfyRgyRgySgyThyThyUhyViyViyWjyXjyXjyYkyZk\ y_ky_ly`lyalyamybmycnycnydnyeoyeoyfoygpyhpyhpyiqyjqyjrykrylrylsymsynsynt\ yotyptyquyquyrvysvysvytwyuwyuwyvxywxywxyxyyyyyzzzzzzyzz } frm:Sc02-04 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; Chebyshev Types: ; Inspired by Rob Dem Braseem: ; Escape (Mandelbrot) ; ; Schlafi Polynomials ; Sc[0] = 0 ; Sc[1] = 0 ; Sc[n+1] = 2(zO[n]-cos(n*pi/2)^2)/n ; ; = Sc[2]=2(zO[1]-cos(pi/2)^2) const=pixel, z=p1: z=const+(2/z) |z|<100 } Roger Alexander _________________________________________________________________ Turn down-time into play-time with Messenger games http://go.microsoft.com/?linkid=9734385

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FOTD 26-07-10 (Nothing At All [7])
by Jim Muth 25 Jul '10

25 Jul '10

FOTD -- July 26, 2010 (Rating 7) Fractal visionaries and enthusiasts: Someone once told me that there is nothing to be found in fractals with negative exponents of Z. Well, today I checked the Z^(-2)+C fractal and found nothing. Today's image shows the nothing that I found. The name "Nothing At All" confirms the nothingness. Actually, the image is not a Mandeloid. It is rotated 30 degrees toward the oblate direction, and has quite a bit of stretching and skewing included. The 5-pointed, rounded star- like elements are something entirely new in my experience. It's hard to give a rating to nothing, but if something were there, it would have rated a 7. Assuming something actually is there, I rated the image at a 7 despite its blatantly feminine pastel-pink appearance. The calculation time of 1-2/3 minutes will pass in a flash. The flash may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> A muggy cloudy morning was followed by heavy midday rain and a pleasant afternoon here at Fractal Central on Sunday, with lots of afternoon sun, lower humidity and a temperature of 81F 27C. The fractal cats slept through most of it. My day was lazy. The next FOTD will be posted in 24 hours. Until then, take care, and one can never be wrong if they know what is right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nothing_At_All { ; time=0:01:40.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+2.892806630\ 58179/-0.5181829559722656/1538.462/1.2095/99.12110\ 220555914/-2.95959565993425278 params=0/0/30/0/\ -1.8758/0/0/0/-2/100 float=y maxiter=1500 inside=bof61 outside=tdis periodicity=0 colors=000PLPQLPQLPQLQQLQRLQRLQRLQRLQRJPRLQRNQRORR\ QRRSSRTSRVTUWTUYTZ_UZ`UcbVccVheWhgWmhWmjXrkXrmSvoK\ vpAzr0zs0zq0zp0vo0vm0rlArkKmiUmhWhgWheWcdVccVZaVZ`\ UU_UUYUPXTPWTKUTKTTGSSGQSFPSFOREMRELRDKQDIQCHQCGQB\ 9PBDPACPAAO99O98O86N85N74N73N8AO85O96P97PA7QABQB9R\ BARCASCBSDDTDDTEEUEEUFDVFHVGFWGHWHIXHJXIKYILYJLZJM\ ZKN_KO_LO`LP`MQaMRaNSbNSbOTcOUcPVdPWdQWeQXeRYfRYfS\ YgTZgTZgUZgUZgVZhV_hW_hW_hX_hX_iY_iZ_iZ`i_`i_`j``j\ ``ja`jaajbakbakcakdakdakealeblfblfblgblgbmhbmhcmic\ mjcmjcnkcnkcnlcnldnmcomdoncondoodoobopbnpanpanp`nq\ _nqZnqYnqXnrWnrVnrUnrTnsTnsSnsRnsQntPntOntNntMnuLn\ uKnuJnuInvInvHnvGnvFnwEnwDnwCnwBnxAnx9nx8nx7ny8ox7\ nw7mv7lu7ku7jt6is6hr6gr6fq6ep6do5cn5bn5am5`l5_k4Zk\ 4Yj4Xi4Wh4Vg4Ug3Uf3Te3Sd3Rd3Qc3Pb2Oa2N`2M`2L_2KZ1J\ Y1IY1HX1GW1FV1EU0DU0CT0BS0AR09R09Q2AQ3AMJNNKONKONK\ ONKOOKOOKOOKOOKPPKPPKPPLP } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 25-07-10 (One Way Alone [6])
by Jim Muth 25 Jul '10

25 Jul '10

FOTD -- July 25, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is late due to a massive laziness attack that I suffered on Saturday, when I spent the day watching the non-news on TV. The brevity of this discussion shows that the attack continues. The image, which was created by combining 0.1 part of Z with 0.2 part of Z^56 and adding 1/C, is barely unusual enough to earn its rating of a 6. The parent fractal is quite unusual however. It resembles a giant cogwheel, with today's image in a small valley on the western edge. The name "One Way Alone" means as little to me as to anyone. The calculation time of 1-3/4 minutes is a fair price to pay for the image. But the image may be had for free on the newly reno- vated FOTD web site at: <http://www.Nahee.com/FOTD/> Saturday was a fully lazy day here at Fractal Central. The temperature of 97F 36C kept the humans in low gear, while the cats stretched on the cool tile floor. If all goes well, the next FOTD will be posted in around 6 hours. If not, then who knows when it will be posted. Until next time, take care, and be aware that the cable news shows are carefully designed to manipulate the viewers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= One_Way_Alone { ; time=0:01:44.96-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-1.046744441242876/-0.00000057589635043\ /2.7212e+010/1/102.5/0 params=0.1/1/0.2/56/0/0/0/0 maxiter=2000 inside=0 logmap=244 periodicity=6 colors=0003DJ5FI7GI8IIAJIBKIDMIENIGPIHQIJRHLTHMUHO\ WHPXHRYHS_HU`HVaHXbJYcK_cM`dNadOceQdfRffTggUhdUiaU\ jZUkWUlTUlQUkNUjKUiHVhEYgBag9dhCeiEeiGfjIfjKgkMgkP\ hlRhlTimVimXjnZjoakockpelpglqimqkmrnnrpnsrostotvpt\ xpwwwzzzzzzzzzzzzzzzzzzzzzY2nW2pU2qS1oR1mQ1lP1jO1i\ N1gM1fK1dJ1cI1aH1`G0ZF0YE0WD0VB0TA0S90Q80P70N60M50\ K40JfDCUIHHML4QP3YS3eU3mW3tY6oX8kWBgVDcVF_UIVTKRSM\ NSPJRRFQTBQQCPNDOKENHFNEGMBHL8IK5JKBLOHMRMNUSOXXP_\ bQbgReeTcdVbbXaaZ__`ZZbYYdXWfVVhUTjTSlRQnQPpPOrOPs\ PPsQQsQQsRRsSRsSSsTStUStUTtVTtWUtWUtXVtYVtYVuZWu_W\ u_Xu`XuaYuaYubYubXt_XtYXtWXtUWsRWsPzsNWsLVrIzrGVrE\ VrCzpBSoARnAzm9Ok9Nj8zi7Kh7Jf6He6Gd5Fc5G`9GZCGWFHU\ JHSMHPPINSIKWIIZJGaJDdJBhK8kK6nK4qJ7rIArIDrHGrHJrG\ MrGOsFRsFUsEXsE_sDbsDdsEcqEcpEcoEcnEclEckEhjEmiErh\ EvfEzeEzdEzcEzaEz`Ez_EzZEzYHzUJzQLzNNzJPzGRzCTz9Uz\ CVzEUzrSztQzvPzxJzmEzc8zT } 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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Jim Muth's Page Upgrade and a Fractal
by Roger Alexander 24 Jul '10

24 Jul '10

First on the agenda is a well done to Jim on the new banner on his fractal page. It sure brightens it up. Secondly is today's fractal which is generated from Paul Carlson's Zf_Ang formula mindlessly mutated by me. By squinting and using my imagination I persuaded myself I was looking down the tooth (or barb) lined gullet of some virtual predator. At http://maxitersfractalfollies.blogspot.com is both today's par pre-rendered and an anti-aliased jpg version. fract328.gif { ; carlson stalks ; blank ; calctime 0:03:05.03 ; created Jul 24, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_z.frm formulaname=Zf_Ang_rjr3 function=tanh/cotan passes=1 center-mag=-3.33067e-016/2.22045e-016/2.73224 params=-0.875/-0.375/2.876613666188543/-6/2/128 float=y maxiter=1500 inside=0 outside=summ colors=zffzffzeezddzccyccybbyaay``x``x__xZZxYYwYYwXXwWWwVVwUUvUUvTTvSSvR\ RuRRuQQuPPuOOtOOtNNtMMtLLtKKsKKsJJsIIsHHrHHrGGrFFrEEqEEqDDqCCqBBqAApAAp9\ 9p88p77o77o66o55o44n44n33n22n11m00m00l00l00k00j00j00i00h00h00g00g00f00e0\ 0e00d00c00c00b00a00a00`00`00_00Z00Z00Y00X00X00W00V00V00U00U00T00S00S00R0\ 0Q00Q00P00P00O00N00N00M00L00L00K00J00J00I00I00H00G00G00F00E00E00D00C00C0\ 0B00B00A00900900800700700600500ffzffzeezddzcczcczbbzaaz``y``y__yZZyYYyYY\ yXXyWWxVVxUUxUUxTTxSSxRRxRRwQQwPPwOOwOOwNNwMMwLLvKKvKKvJJvIIvHHvHHvGGuFF\ uEEuEEuDDuCCuBBuAAtAAt99t88t77t77t66t55s44s44s33s22s11s00r00r00q00p00p00\ o00n00n00m00l00l00k00j00j00i00h00h00g00f00f00e00d00d00c00b00b00a00`00`00\ _00Z00Z00Y00X00X00W00V00U00U00T00S00S00R00Q00Q00P00O00O00N00M00M00L00K00\ K00J00I00I00H00G00G00F00E00E00D00C00C00B00A00A009008007 } frm:Zf_Ang_rjr3 {; Copyright (c) Paul W. Carlson, 1998 ; p1 = Julia set coordinates ; real(p2) = controls size of the elements ; imag(p2) = number of iterations to skip ; real(p3) = number of color ranges ; imag(p3) = number of colors in a range ; z = k = iter = range_num = bailout = 0 w = pixel c = p1 prev_modw2 = 1.0e20 size = real(p2) skip_iters = imag(p2) num_ranges = real(p3) colors_in_range = imag(p3) factor = (colors_in_range - 1) / size : w = c * (w - 1 / w) a = 2 * atan(imag(w) / real(w)) a = a * a + c a = fn1(1 - a) /fn2(a) ; dist = abs(|w| - |a|) IF (dist < size) bailout = 1 IF (iter > skip_iters) k = 1 ENDIF z = (factor * dist + range_num * colors_in_range + 1) * k ENDIF range_num = range_num + 1 IF (range_num == num_ranges) range_num = 0 ENDIF iter = iter + 1 z = z - iter bailout == 0 && |w| < 1.0e20 ;SOURCE: 98msg.frm } Roger Alexander _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386

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Blue Mesas
by Roger Alexander 23 Jul '10

23 Jul '10

Today's fractal is another magnet1m creation. Using a combination of outside=tdis and a high bailout value gives a layer look. The palette I chose suggested to me the aerial view of a plain of frozen mesas. Readily available without prescription at http://maxitersfractalfollies.blogspot.com. fract327.gif { ; magnet1m minibrot ; blank ; calctime 0:18:09.06 ; created Jul 23, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=magnet1m center-mag=+0.38738498122653450/-1.83742312186978300/53333.33 params=0/0 float=y maxiter=1500 bailout=350 inside=0 outside=tdis logmap=44 colors=zzzuzzryzqyzoxznxzmwzkwzjvzivziuzhuzgtzftzfszesydrycrybqybqyapyap\ y`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTguTguSfuSftRetQesQdsQd\ rPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJXkJWjJWjIViIViIUhHUhHT\ gHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBLZBKYAKYAJXAJWAIV9IU9H\ U9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59G48F48E47D37C36B36A35\ A25924824723613512412411301200100000101211312412413523624724825935936A36\ B37C47D48E48F49F59G5AH5AI5BJ6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAI\ VAJWAJXBKXBKYBLYCLZCMZCM_DN`DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHU\ hIUiIViIVjIWjJWkJXkJXlKYlKYmLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdsQdsRe\ tRetRftSftSgtTguThuUhuUivVivVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybq\ ybqycrydryesyeszftzgtzhuzhuzivzjvzkwzmwznxzpxzqyzryzuzz } Roger Alexander _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386

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FOTD 24-07-10 (Doomsday Scenario [7])
by Jim Muth 23 Jul '10

23 Jul '10

FOTD -- July 24, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene on the NNW shore line of the large main bay of the (-Z)^(1.19)+C Mandeloid. I named it "Doomsday Scenario" when I had the impression of a comet tearing through the atmosphere, ready to strike the earth and send mankind the way of the dinosaurs. Yes, I know there are more than enough doomsday shows on the TV channels nowadays, but I can see no harm in adding my own version of doom -- a fractal comet that ends the grand experi- ment of quasi-intelligent life on planet earth. Actually, I doubt we'll need a comet to bring about the end of the civilized world. We appear to be on the verge of doing it ourselves, and only a fool would think some super-technology will be able to save us. The good news is that when man is gone, fractals will remain, though I wonder if anyone else in the universe will know or care. Today's image rates a 7. It's reasonably unusual and certainly colorful enough. The calculation time of just over 2 minutes is fast enough; viewing the finished image on the FOTD web site is even faster. The web site may be accessed at: <http://www.Nahee.com/FOTD/> Heat and humidity returned in full force here at Fractal central on Friday, with a temperature of 95F 35C. A storm threatened in the afternoon, but never developed. The fractal cats passed the day on the cool floor, as would be expected. My day was average and uneventful. FL passed the day quietly also. The next FOTD will be posted in 24 hours. Until then, take care, and let me know when we land a man or woman on Mars. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Doomsday_Scenario { ; time=0:02:11.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=-0.001859683/+1.0354605665/15937/1/-20/0 params=0/0/0/0/0/0/0/0/1.19/0 float=y maxiter=50000 inside=0 logmap=142 periodicity=10 colors=000KKKSMNbMO`MOSQPJIQBAQXGdqMrnNojNmgOjcOg`\ PeYPbUQ_RQXNRVKRSHSPESMBTK8TH4UF1UCgIZjJWlKToLPUMM\ UQJUNGUSJUYLUZOQbQIlTApV2nX6mWAcVDVUHLTLCSO3SN4VL5\ YK5`I6cG7fF7hH7fI7dK7bL7aN6_O6YQ6WR6US6SU6RV6PX6OY\ 6MZ6KJMY3`k6Um9NpCGrF9tI2vH3qH3mH4hH4dH4_H5WH5RH5N\ H5IH5EH6AH65H61ID1IL1JS0JZ0KezKlvSpmZkzbolfdWjUQgU\ 9dUAaTAZTAWTATSBQSBNSBKSBHSBIQAI9AJ99J78K97K76I65L\ 95M74M54P76S97VB9XDA_FBbHCdJDbLDaNC_OCZQBXSBVUAUWA\ TYARZAQ`9Oa9RbCUbFXcJ_cMbdPedSheVkeYnf`qfctffcoSzz\ EmzzzzAmzzzz5mzzzz4mzzzz6mwzzu7mszzq9SoATmATmBTmCV\ mSTmTTmUTmVTmWUmXUmYUmZUm_Um`UmaUmbUmcUmdVmeXmfZmg\ _mhamicmjemkgmlimmkmnkmojmpkmqlmrmmsmmtmmummvmmwmm\ xmmymmzmmzmmzmmzmmzmmzmmzmmzmmzmrzmrzmrzmrzmrzmrzm\ rzmrzmrzmrzmrzmrzmrzmrzmrzmrzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 23-07-10 (Elephant Pieces [No Rating])
by Jim Muth 22 Jul '10

22 Jul '10

FOTD -- July 23, 2010 (No Rating) Fractal visionaries and enthusiasts: I always have enjoyed elephants. When I was young, they were my favorite animals at the circus. Now that I'm no longer young, they are my favorite animals in the Mandelbrot set. Of course, it doesn't take much to make elephants my favorite animals in the M-set, since the only other animals are seahorses, which are more of a curiosity. The Mandelbrot elephants live in the valley on the east side of the M-set, which is appropriately named "Elephant Valley", or sometimes simply "East Valley". An infinity of the ponderous pachyderms inhabit the valley, every one of them standing guard over its own particular bud. But they guard their buds only in the Mandelbrot plane of the Julibrot. In the other planes, the elephants forget their buds and wander off in different directions, becoming ever more distorted the farther they roam. In today's image this distor- tion has become quite large. In fact, some elephants are only partly there, which is the reason I named the image "Elephant Pieces". Today's image is sliced in the 'Oblate' direction, which is determined by the imaginary (y) direction of the Mandelbrot planes and the real (x) direction of the Julia planes. The slice passes through the East Valley complex of the Julibrot at point +0.28 on the X-axis of the M-set, but being centered at the point 0.5 on the imaginary Julia axis, it is far from being centered on the valley. I gave the image no rating. After all, how artistic can bits and pieces of four-dimensional elephants be? At this point, I'm suffering 4-D overload, so I recommend running the included parameter file and waiting 10 minutes or viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Near perfect conditions prevailed here at Fractal Central on Thursday. The temperature reached a summer-like 86F 30C, the humidity was low, and the kodachrome (digitally enhanced) blue sky was decorated with puffy white clouds. The fractal cats must have approved, for they spent an unusually long time gazing out the side window, watching the birds fly by. My day, as well as FL's day, was quite busy, which is all well and good, but I still would like more time for fractals. And speaking of fractals, the next one will be posted in 24 hours. Until then, take care, and where is the scapegoat? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant_Pieces { ; time=0:09:58.90-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=+0.51519297/-0.01004759/532/0.01382/\ -0.172917345564469804/-87.8736638009453799 params=0/0/90/0/0.28/0/0/0.5/2/0 float=y maxiter=32767 inside=0 logmap=20 periodicity=6 colors=0008Kt8Ks8Kr8Kq8Kp8Ko8Kn8Km8Kl9JkAIjBHiCGhD\ FgEEfFDeGCdHBcIAbJ9aK8`K8_K7YM6WO5VQ7TSATUDWWGZYJa\ _MdaPgcSjeVmgYpdWp`UpXRpTPpPNpLLpIJpMLqQMrUNsYOtaP\ teQucSvaUw_WxYYxW_wUarScmQehOgcMhZKhUIePHcKG`FGYCF\ WFFTHEQJEOLDLNDJPFKOGKOHLOILNJMNKMNLNMMNMNOMOOLPQM\ QSNRUOSWPUYQW_RYaS_cTadTceSehVejXelZen`epberdetfev\ hexjezlcxmbvmatn`rnZpoYnoXloWjpUhpTfqSdqRbqQ_rPXsO\ VtNStMSuLTvLUvKVwJWxIXxHYyGZzG_zG`yGaxGbxdczeczgcz\ iczkczfczaczXczSczNczLdzMezNfzOgzPhzQizThzWfz_dzbc\ zfcziczmczpcztczrczoczlczjczgczdczbcz_mzXmzVmzSmzP\ mzMmzMmzMmzMmzMmzLmzLmzLmzLmzKmzKmzKzzKzzKzzJzzJzz\ JzzJzzIzzIzzIzzIzzIzzHzzHzzHzzHzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Impulse fractaling
by Roger Alexander 22 Jul '10

22 Jul '10

Not much to say. On a whim I generated the July 21 post with outside=fmod and a proximity value of 0.5 and a different map. The difference is significant. Go to http://maxitersfractalfollies.blogspot.com to see the Fractint compatible gif and a resampled version. fract325.gif { ; remapped ; blank ; calctime 0:07:07.33 ; created Jul 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=magnet1m center-mag=+1.70824602043643800/-1.99477496163781800/314.4654/1/19.99999\ 99999996128/1.45072148738378814e-012 params=0/0 float=y maxiter=1500 inside=0 proximity=0.5 outside=fmod 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 } Roger Alexander _________________________________________________________________ Learn more ways to connect with your buddies now http://go.microsoft.com/?linkid=9734388

1 0

Blue Minibrots
by Roger Alexander 21 Jul '10

21 Jul '10

Two minibrots in a row. Have I settled into a routine? I used outside=tdis coloring for Fractint's built in magnet1m formula and used a palette that gave an electric blue effect. Or maybe a frosty ice. For a bonus go to the usual http://maxitersfractalfollies.blogspot.com to see the July 19 post run through Gimp and de-sparklefied. De-sparklefied, I made that word up this morning. fract324.gif { ; fract321.gif with outside=tdis ; blank ; calctime 0:04:24.31 ; created Jul 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=magnet1m center-mag=+1.70824602043643800/-1.99477496163781800/314.4654/1/19.99999\ 99999996128/1.45072148738378814e-012 params=0/0 float=y maxiter=1500 inside=0 outside=tdis colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\ c00e00g00i00k00m00o00q00s00u00w00z01z03z05z07z09z0Bz0Dz0Fz0Hz0Jz0Lz0Nz0P\ z0Rz0Tz0Vz0Xz0Zz0`z0bz0dz0fz0hz0jz0lz0nz0pz0rz0tz0vz0xz0zz0zz0yz0xz0wz0v\ z0uz0tz0sz0rz0qz0pz0oz0nz0mz0lz0kz0jz0iz0hz0gz0fz0ez0dz0cz0bz0az0`z0_z0Z\ z0Yz0Xz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0Pz0Oz0Nz0Mz0Lz0Kz0Jz0Iz0Hz0Gz0Fz0Ez0Dz0Cz0B\ z0Az09z08z07z06z05z04z03z02z01z00z00z03z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0j\ z0nz0rz0vz0uz1tz1sz2rz3pz3oz4nz5mz5kz6jz7iz7hz8gz9ez9dzAczBbzB`zC_zDZzDY\ zEWzFVzFUzGTzHSzHQzIPzJOzJNzKLzLKzLJzMIzNGzNFzOEzPDzPCzQAzR9zR8zS7zT5zT4\ zU3zV2zW0zW0zV0yV0xU0wU0vT0uT0tS0sS0rR0qR0pQ0oQ0nP0mP0lO0kO0jN0iN0hM0gM0\ fL0eL0dK0cK0bJ0aJ0`I0_I0ZH0YH0XG0WG0VF0UF0TE0SE0RD0QD0PC0OC0NB0MB0LA0KA0\ J90I90H80G80F70E70D60C60B50A509408407306305204203102101 } Roger Alexander _________________________________________________________________ Turn down-time into play-time with Messenger games http://go.microsoft.com/?linkid=9734385

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FOTD 22-07-10 (Infinite MegaSpiral [6])
by Jim Muth 21 Jul '10

21 Jul '10

FOTD -- July 22, 2010 (Rating 6) Fractal visionaries and enthusiasts: When the going gets tough, the tough get going . . . to the Mandelbrot set for their fractals. Things were a bit tough here at FC on Wednesday, so I got going to the M-set. I checked one of the 'perturbed' sets and found a super-spiral at the edge of a small period-26 ghost-bud on the southern shore line of the main bay of the M-set. A quick bit of fancy color work produced today's image. I named the image "Infinite MegaSpiral". The spiral is a huge one, sure to please every fan of fantastic spirals, and it goes on down to infinity. The rating of a 6 is held down by the over-familiarity of the Mandelbrot set. The 'perturbed' sets are less familiar, but also less pleasing. The calculation time of 10 seconds is faster than light, which means the calculation will finish a few seconds before it begins. The way to avoid such paradoxes is to view the image already calculated on the FOTD web site at: <http://www.Nahee.com/FOTD/> Heat and humidity made things rather unpleasant for both man and cats here at Fractal Central on Wednesday. But the weather took a sudden turn for the better at 6pm, when a sharp thunder-shower moved in and dropped the temperature from the high of 93F 34C to a comfortable 75F 24C. And the 1cm of rain was just what FL's garden needed. The fractal cats ducked for cover when a sudden crack of thunder from a nearby lightning strike shook the house, but showed their noses as soon as the all-clear was sounded. My day was busy enough to keep concern away and slow enough for me to find a quick scene in the workhorse Mandelbrot set. The next FOTD will be posted in 24 hours. Until then, take care, and be aware that, for some reason, the type=mandel formula of Fractint actually calculates the square root of the complex number that is entered as the parameter. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= InfiniteMegaSpiral { ; time=0:00:10.09-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.1941\ 3664/-0.64652523/2666/1/87.5/0 params=0.7598287/\ 0.66929145 float=y maxiter=32767 inside=0 logmap=24 colors=000U`_U`_U`_U`_U`_U`_U``U_`UZ`UYaUYaUXaUWbU\ VbUVbUUbUTcUScURcURdUQdUPdUOdUOeUNeUMeULfUKfUKfUJf\ UIgUHgUHgTGhSFhREhQDhPDiOCiMBiLAjKAjJ9jI8jH7kG6kF6\ kE5lD4lC3lB3lC4kC5jC6iC7hC8hC9gC9fCAeCBeCCdCDcCEbD\ EbDFaDF`DF_DF_DFZDFYDFXDFXDFWDFVDFUDFUCFVCFVCFWBFW\ BFWBFXAFXAFYAFYAFY9FZ9FZ9F_8F_8F_8F`7F`7F`7Ea7Ea6D\ b6Db6Db5Cc5Cc5Bc5Bc4Ac4Ac49c39c38c38c27c27c26c26c1\ 5c15c14c04c03c03c03c14c15c25c26c26c37c38c48c49c49c\ 5Ac5Ac5Bc6Cc6Cc7Dc7Dc7Ec8Ec8Fc9Gc9Gc9HcAHcAIcAIcBJ\ cBKcCKcCLcCLcDMcDMcDNcEOcEOcFPcFPcFQdGQeGRfHSgHShH\ TiITjIUkIUlJVmJWnKWoMXpOXqQXrSWsUVtWUuYTv_SwaRxcQy\ ePzePzdPzdPzcUzcUzcUzbUzbUzaUzaUzfmzemzemzemzdmzdm\ zcmzcmzcmzbmzbmzamzamzamz`mz`mzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzuzzuzzuzzuzzuzzuzzuzz\ uzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuzzuz\ zuzzuzzuzzuzzuzzuzzuzzuzz } END PARAMETER FILE=========================================

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FOTD 21-07-10 (Boiling Magma [7])
by Jim Muth 20 Jul '10

20 Jul '10

FOTD -- July 21, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image reminds me of a reservoir of hot magma lurking just beneath the earth's crust, which is why I named it "Boiling Magma". Actually, magma doesn't boil until it reaches the surface and becomes lava, but we'll ignore that small detail. If the image seems a bit familiar, there's a good reason. It's a blow-up of a section of yesterday's Seahorse Valley image, with only a bit of skewing and a small tweaking of a few color registers. The rating of a 7 seems to be about what the image is worth. And the calculation time of 3-1/4 minutes is also a good value. The best value is available on the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is posted in its full glory. A mix of clouds and sun with a temperature of 86F 30C made Tues- day a rather warm but pleasant day here at Fractal Central. The fractal cats, who never get to go outside, had a brief thrill when a roaming tomcat passed through the yard, leaving his scent behind as a calling card. My day was busier than average, but not excessively so. The next FOTD will be posted in 24 hours. Until then, take care, and believe it only if it's true. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Boiling_Magma { ; time=0:03:15.65-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 maxiter=15000 center-mag=0.275349/0.555803/11.73091/1/44.2/\ -9.09027692082236349 params=75/90/60/90/-0.75/0/0/\ 0/2/0 float=y inside=255 logmap=yes periodicity=0 colors=00020A30B40C51D62E73F85GA6HC7IE8JG9KIALKBNM\ CPODRQETSFVUGXWHZYI`_JbaKdcMfeOhgQhiSgkUgmWgoYgq_g\ sagtcftefugfuifvkfwmewoexpexqeyreysevrfsqfqpfnogln\ gimggkfdiecZdbYcaXb`Wa_V`ZU_YTZXSYWRXVQWUPVTOUSNTS\ MSSLRTKSTJTUITUIUVHVVHVWHWWIXXIXXJYXJYYJZYK_ZK_ZL`\ _La_Ma`Mb`NcaNcaOdbOebPebPfcQgcQgdRhdRieSieSjfSjfT\ kgTlgUlhUmhVnhVniWoiWpjXpjXqkYrkYrlYslYtlYtlYtlYtl\ YtlYtkYtkYtkYtjYtjXtjXtiXtiWtiWthWthVshVsgVsgVsgUs\ fUsfUsfTseTseTseSsdSrdSrdRscRtcRrbQtbQsbQraQraPraP\ r`Pr`Or`Or_Or_NtZNqZNqZMqYMqYMqYLqXLqXLqXLqWKqWKqW\ KqVJpVJpVJpUIpUIpUIpTHpTHpSHpSGpSGpRGpRGpRFoQFoQFo\ QEoPEoPEoPDoODoODoPCoUCoZCoc8rhComGmrKjvOhzSezWczZ\ `zbZzfWzjUznRzrPzvMzzJzyKzxLzwMzvNzuNztOzsPzsQzrRz\ qRzpSzoTznUzmVzmVzlWzkXzjYziZzhZzg_zf`zeazf`zeazea\ zdazdazcazcbzcbzbbzbbzabzaczacz`dz`ezafzbgzchzdize\ jzflzgnzhpzirzjtzkvzlvzmz } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

Another julia mutation
by Roger Alexander 20 Jul '10

20 Jul '10

I could say this fractal's graphic structure reminds me of spaghetti but thread like sounds more classy. To see the soon to be re-sampled version go to http://maxitersfractalfollies.blogspot.com and save a bit of generating time. fract317.gif { ; spaghetti ; blank ; calctime 0:04:14.53 ; created Jul 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=kerrym.frm formulaname=km_12 center-mag=0.260325/0.502117/3.875969 params=0.75/-0.875/0.875/-0.001373332926419875/0.5439924314096499/-0.391\ 155735953856/0.4704428235724967/0.239539780877102 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=ELLFLLFMMGMMGNNHNNHOOIOOIPPJPPJPPKQQKQQLRRLRRMSSMSSNTTNTTOTTOUUPU\ UPVVQVVQWWRWWRXXSXXSXXTYYTYYUZZUZZV__V__W``W``W``XaaXaaYaaYaaYbbYbbZbbZb\ b_cc_cc`dd`ddaddaeebeebffcffcffdggdggehhehhfiifiigiigjjhjjhkkikkikkjlljl\ lkmmkmmlnnlnnmnnmoonoonppoppopppqqpqqqrrqrrrrrrssssssttttttuuuuuuuuvvvvv\ vwwwwwwwwwxxxxxxyyyyyyyyyxxxxxxwwwwwwvvvvvvuvvuuutuutttsttsttrssrssqrrqr\ rprrpqqoqqoppnppnoomoomoolnnlnnlmmkmmkmmjlljllikkikkhkkhjjgjjgiifiifiieh\ hehhdggdggcggcffbffbeeaeeaeeadd`dd`cc_cc_ccZbbZbbYaaYaaXaaX``W``W__V__VZ\ ZUZZUZZTYYTYYSXXSXXRXXRWWQWWQVVQVVPVVPUUOUUOTTNTTNTTMSSMSSLRRLRRKRRKQQJQ\ QJPPIPPIPPHOOHOOGNNGNNFNNFMMFMMELLELLDLLDKKCKKCJJBJJBIIAIIAII9HH9HH8GG8G\ G7GG7FF6FF6EE5EE5EE4DD4DD3CC3CC3CC2BB1BB1AA0AA0AA1BB1BB2CC2CC3DD3DD4DD4E\ E5EE5FF6FF6FF7GG7GG8HH8HH9HH9IIAIIAJJBJJBJJCKKCKKDLLDLL } km_12 { ; Kerry Mitchell ;originally conic-near_jul2 ;tweaked so user can directly input ; julia parameters (cc=p4) originally ; hardcoded to -2 cc=p4, zc=pixel, maxr=1e12, minr=maxr, iter=1 a=real(p1), b=imag(p1), c=real(p2), d=imag(p2) e=real(p3), f=imag(p3): iter=iter+1, zc=sqr(zc)+cc, x=real(zc), y=imag(zc) conic=|x*(a*x+b)+y*(c*y+d)+e*x*y+f| if (conic<minr) minr=conic end if if ((|zc|>maxr)||(iter==maxit)) iter=-1 t=log(minr) z=cos(t)+flip(sin(t)) end if iter>0 } Roger Alexander _________________________________________________________________ Turn down-time into play-time with Messenger games http://go.microsoft.com/?linkid=9734385

2 1

Quadratic <=> Minibrot
by Roger Alexander 19 Jul '10

19 Jul '10

I just had a great idea for a practical joke but then I found out you can't use invisible ink in an e-mail. Well that's life and I must move on, and speaking of moving here is today's fractal. If you have some spare moments load up the posted par, or view the generated fractal at the familiar repository of http://maxitersfractalfollies.blogspot.com. fract320.gif { ; another minibrot conflagration ; blank ; calctime 0:15:38.07 ; created Jul 19, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_t.frm formulaname=Tchebychev-c6 center-mag=-0.21372733010325430/+0.19412966992174460/2.089892e+007/1/177\ .499999981745901/2.49025858198304029e-008 float=y maxiter=1500 inside=0 logmap=132 colors=z0I000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm: Tchebychev-c6 (XYAXIS) {; Advanced Fractal Programming in C - Stevens z=0: zsq = z*z z = pixel * (zsq*zsq*zsq - 6*zsq*zsq + 9*zsq - 2) |z| <= 4 ;SOURCE: tchebych.frm } Roger Alexander _________________________________________________________________ Turn down-time into play-time with Messenger games http://go.microsoft.com/?linkid=9734385

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FOTD 20-07-10 (Valley of Fire [6])
by Jim Muth 19 Jul '10

19 Jul '10

FOTD -- July 20, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows Seahorse Valley in a way it has never been seen before. I named the image "Valley of Fire" because of the thin fiery stripe down the middle, which is actually the space between the two branches of the valley as it appears when seen from the large period-2 bud of the Mandelbrot set, looking east toward the main bay. I cannot begin to describe the four-dimensional orientation of today's slice, which is rotated from the Mandelbrot direction in four different ways. All I can say is 'see it to believe it'. The rating of a 6 implies more mathematical interest than artis- tic worth. The calculation time of 20 seconds is faster than light, which will not only turn space inside-out, but will send the fractal- ist back in time. My advice is to stay in the present moment by viewing the fin- ished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Lots of heat prevailed here at Fractal Central on Monday, while a brief shower that fell around noon merely steamed up the air, which was already at a temperature of 91F 33C. The fractal cats briefly looked up from their spots on the cool kitchen floor, turned over, and went back to sleep. My day rated about a 6 on the zero-to-ten scale of being busy. FL's was about the same. I have one more small tweak to do on the FOTD logo before I send it to Paul on Tuesday to put on the FOTD web site. Actually, I appear to be turning into one of those annoying graphic customers who are never satisfied and always want to make one more small change on their job. The next FOTD will be posted in 24 hours. Until then, take care, and science tells me to believe in a 'big bang' that I have never seen, and at the same time tells me not to believe in ghosts, which I have seen. (Maybe it's the 'big bang' that's all in the mind. [Or maybe everything is all in the mind.]) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Valley_of_Fire { ; time=0:00:20.76-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0.0104059/\ 0.0231542/1.230315/1/24.2/0 params=75/90/60/90/\ -0.75/0/0/0/2/0 float=y maxiter=15000 inside=255 logmap=yes periodicity=0 colors=00020A30B40C51D62E73F85GA6HC7IE8JG9KIALKBNM\ CPODRQETSFVUGXWHZYI`_JbaKdcMfeOhgQhiSgkUgmWgoYgq_g\ sagtcftefugfuifvkfwmewoexpexqeyreysevrfsqfqpfnogln\ gimggkfdiecgdbecacb`aa__`ZY_YWZXUYWSXVQWUOVTMUSKTS\ ISSGRTESTFTUFTUGUVGVVHVWHWWIXXIXXJYXJYYJZYK_ZK_ZL`\ _La_Ma`Mb`NcaNcaOdbOebPebPfcQgcQgdRhdRieSieSjfSjfT\ kgTlgUlhUmhVnhVniWoiWpjXpjXqkYrkYrlZslZtm_tm_um_ul\ ZtlZtkZtkYtkYtjYtjXtjXtiXtiWtiWthWthVshVsgVsgVsgUs\ fUsfUseTseTseTsdSsdSsdSscRrcRrcRrbQrbQrbQraQraPraP\ r`Pr`Or`Or_Or_NqZNqZNqZMqYMqYMqYLqXLqXLqXLqWKqWKqW\ KqVJpVJpVJpUIpUIpUIpTHpTHpSHpSGpSGpRGpRGpRFoQFoQFo\ QEoPEoPEoPDoODoODoPCoUCoZCoc8rhComGmrKjvOhzSezWczZ\ `zbZzfWzjUznRzrPzvMzzJzyKzxLzwMzvNzuNztOzsPzsQzrRz\ qRzpSzoTznUzmVzlVzlWzkXzjYziZzhZzg_zf`zeazf`zeazea\ zdazdazcazcbzcbzbbzbbzabqaczacz`cz`cz_cz_dz_dzZdzZ\ dzYdzYezXezXezXezWezWezVf } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Brotties!
by Roger Alexander 18 Jul '10

18 Jul '10

Minibrots everywhere- a demonstration of the algorithmic connectedess of existence. Speaking of connectedness the pre-calculated gif is posted at http://maxitersfractalfollies.blogspot.com like previous fractals. fract318.gif { ; fiery minibrot ; blank ; calctime 0:10:23.85 ; created Jul 18, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=fract001.frm formulaname=FrRbtGenM center-mag=-1.05413215018773500/+0.61609261602671070/9699.454/1/72.49999\ 99999633928/-4.64322330584465703e-012 params=0.1559801019318217/-0.2057863093966491 float=y maxiter=1500 inside=0 logmap=53 colors=000100200300500600700900A00B00D00E00F00H00I00J00L00M00N00O00Q00R0\ 0S00U00V00W00Y00Z00_00a00b00c00e00f00g00h00j00k00l00n00o00p00r00s00t00v0\ 0w00x00z00z10z20z30z50z60z70z90zA0zB0zD0zE0zF0zH0zI0zJ0zL0zM0zN0zO0zQ0zR\ 0zS0zU0zV0zW0zY0zZ0z_0za0zb0zc0ze0zf0zg0zh0zj0zk0zl0zn0zo0zp0zr0zs0zt0zv\ 0zw0zx0zz0zz1zz2zz3zz4zz5zz6zz7zz8zz9zzAzzBzzCzzDzzEzzFzzGzzHzzIzzJzzKzz\ LzzMzzNzzOzzPzzQzzRzzSzzTzzUzzVzzWzzXzzYzzZzz_zz`zzazzbzzczzdzzezzfzzgzz\ hzzizzjzzkzzlzzmzznzzozzpzzqzzrzzszztzzuzzvzzwzzxzzzzzzzzzzzzzzyzzwzzvzz\ tzzrzzqzzozznzzlzzjzzizzgzzfzzdzzbzzazz_zzYzzXzzVzzUzzSzzQzzPzzNzzMzzKzz\ IzzHzzFzzDzyDzwDzvCztCzsBzqBzpBznAzlAzk9zi9zh9zf8ze8zc7za7z`7zZ6zY6zW5zV\ 5zT5zS4zQ4zO3zN3zL3zK2zI2zH1zF1zD0yD0wD0uC0sC0qB0oB0mB0kA0iA0g90e90c90a8\ 0_80Y70W70U70S60Q60O50M50K50I40G40E30C30A30820620410210 } frm:FrRbtGenM = {; Ron Barnett [70153,1233] z = pixel: z = p1*z*z*z + z*z + pixel, |z| <= 100 } Roger Alexander _________________________________________________________________ Game on: Challenge friends to great games on Messenger http://go.microsoft.com/?linkid=9734387

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Re: [Fractint] FOTD 17-07-10 (Seahorse Madness [7])
by Jim Muth 18 Jul '10

18 Jul '10

At 01:40 PM 7/18/2010 -0500, you wrote: >Jim Muth wrote: >> >> NOTICE! ....new version of the >> SliceJulibrot4 formula.... >> If you have the old version on file, >> discard it and replace it with the >> new version. ..... >> >> All images created with the old >> version of the formula will run >> correctly with the new version..... > >I assume it has been tested on all of the previous parameter files, >which made use of the older version, to ensure that this will indeed >work correctly as stated?? > >Modifications of older versions and then using the same name have always >troubled me. One never knows how XFractInt (in Linux environments) will >handle this, when it is already having difficulties with past FOTD >postings. [see recent FractDev discussions] Paul: All the old parameter files that I tested with the new version of the formula worked perfectly. But I could not try all the old files, since there are too many of them. Maybe I'll give the new version a new name and avoid the possibility of confusion. (If this doesn't simply add to the confusion, that is.) JIM

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FOTD 19-07-10 (The Wrong Angle [6])
by Jim Muth 18 Jul '10

18 Jul '10

FOTD -- July 19, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a zoom into the bit of Seahorse Valley that was stretched across the center of yesterday's image. It took quite of anti-distorting to undo the stretching distortion in yester- day's image, but once this was done, the result was very near perfect. The incredible thing with today's image is that it calculates in 13 minutes, but shows the spider-web, peanut-hole features that normally lie much deeper in Seahorse Valley and take hours to calculate. The name "The Wrong Angle" refers to the fact that in the image, Seahorse Valley is viewed nearly edge-on, yet appears quite undistorted. The rating of a 6 is mostly for mathematical interest. The calculation time of 13-1/2 minutes is admittedly a drag, and I can give no guarantee that the result will offer full compensa- tion. My advice is to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> BTW, I have simplified the new logo for the FOTD web page, which was getting over-worked and over-complicated. It shows my favorite fractal and the six perpendicular slices of the 4-D Julibrot. I'll send it to Paul on Monday. Typical midsummer weather continued here at Fractal Central on Sunday, with lots of sun and a temperature of 93F 34C. The fractal cats made the most of things by sleeping all day. The next FOTD will be posted in 24 hours. Until then, take care, and if the world ends within 24 hours, there might be no more FOTD's. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Wrong_Angle { ; time=0:13:36.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.838351136\ 47022960/+0.01718083180624014/204.918/427.74/90/\ 0.0214321089199651232 params=-45/0/90.1/0/-0.7514/\ 0/0/0/2/0 float=y maxiter=125000 inside=0 colors=000QJoRIpSHqTFrUErVBtUBsTArSBpRCoRDmRDlQDkP\ DjOEhODhNDgNEfMEdMDcMCcLDbLCbKCaJCZHCYHBVGAUFAUFAU\ E9UD9UD9UC9U94UB7UC9UDCUEEVFHWGJXHMYJO_KRaLTdMWfNY\ hO`kPbmKbxNcsQdoSekVfgXfc_g_ahWdiSgjOijKlkGnlCqm8s\ m4tk7tjAtiCuhFvgHwfKxeMydPzcRyeSxfSwgSvhTuiTskTrlT\ rmUrnUroUqqUqrVqsVquVqwVpwWowXnxYnyZmzZlz_kz`kyajx\ biwbhvchudgtefseerfeqgdphcoibnibmjalk`kl_jm`il`hk`\ gj`fj`eiaehaehadgadfadfacebddbccbccbbbbbabaac``c`_\ c`_c`Zc`YaaXb`Yc`Yc`Zd`Ze`_e`_f`_ge`ge`heaieaieajd\ bkdbkdclfcmgdmhdnjdojeqletlfwmfxogwofvnfumfslfnjem\ ielgekfejdeicdhadg`dfZdeYddXccWcbVcaUc`Tc_SbZRbYQb\ XPbVQeWPcWObXOaXN`XM_YMZYLYYLXZNZZO__Pa_Qb`Rd`Se`T\ faUhaWibXkbYlbZmc_oc`pdardbsedvdctdbtcbucaucaub`vb\ _va_vaZwaZw`Yw`Yx_Xy_Wz_WzZVzZVyZUyYTxYTxXSxXSwXRw\ WRwWQvVPvVPvVOuUOuUNuUNtTOtSOtSOsSOsSNsSNrRNrRNrRM\ qRMqQMqQMpQKpQKpQKoQKoQKo } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 18-07-10 (Seahorse at Length [6])
by Jim Muth 18 Jul '10

18 Jul '10

FOTD -- July 18, 2010 (Rating 6) Fractal visionaries and enthusiasts: Yesterday's unusual scene in Seahorse Valley kept me thinking most of the day on Saturday. In yesterday's image the Mandel- brot aspect of the valley is totally invisible. In today's image however it is visible in grossly stretched form as the open strip across the center of the frame. If this open strip is stretched about 57 times in the vertical direction, the valley itself will become visible, cut off on the E-W sides but decorated with all kinds of new and unusual stuff. This can be done in the Z-f6 screen by setting the X-magnification factor to 0.0175. The orientation of the image is rotated one degree from the Oblate and then rotated 45 degrees toward the Julia. All this rotation happens in the 4th dimension, so don't try to make sense of it. The name "Seahorse at Length" refers to the piece of Seahorse Valley stretched across the center of the frame. I rated the image at a 6 because I did too little work on the coloring. The calculation time of 16 seconds is no mistake, so there will be no wasted time if the image proves disappointing. The risk of disappointment may be totally eliminated however by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> A rather hot day prevailed here at Fractal Central on Saturday. At least the fractal cats thought so. They spent most of the day stretched on the cool tile floor. I also thought it was hot, and spent the day within range of the cool air. Everyone I mentioned it to also agreed that the high temperature of 93F 34C was indeed hot. The day was busier than usual for both myself and FL as we wrapped up the leftovers from the big rush job of the past two days. The next FOTD will be posted in 24 hours. Until then, take care, and stay decohered. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_at_Length { ; time=0:00:16.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0.0367694/0/\ 0.8392416 params=-45/0/90.1/0/-0.7514/0/0/0/2/0 float=y maxiter=5400 inside=0 logmap=yes passes=t symmetry=xaxis periodicity=6 colors=000VGkWGjXGhYGfZGdZGbZG`ZGWZGRYHOYGOZENZCKY\ AHW8DU5BR29P27N25N35N56N76N96NB7MD7MF7MH8MJ8MK8ML8\ MM9MN9MO9MP9MQAMRAMSAMTAMUBMWBMYBM_BMaCMcCNeCOgCPi\ DQkDRmDRoDSqFSsGSsHSrISqJSqKSpLSoMToNTnOTmPTmQTlRT\ kSTkTTjUTiVUiWUhXUgYUgZUf`UfaUebUdcVddVceVbfVbgVah\ V`iV`jV_kVZlWZmWYnWXoWXpWWqWVrWVsWUtWUuXVsXVrXVqXV\ pXVoYVnYWmYWlYWkYWjZWiZWhZWgZXfZXe_Xd_Xc_Xb_Xa_Y``\ Y_`YZ`YY`YW`YVaYUaZTaZSaZRaZQbZPbZOb_Nb_Mb_Lc_Kc_J\ c_Ic_Hc`Gd`Fd`Ed`Dd`Cd`Bd`Aea9ea9fb9fb9fc8gc8gd8gd\ 8hd8he7ie7if7if7jg6jg6jg6kh6kh6li5li5lj5mj5mj5mk4n\ k4nl4nl4om3om3pn3pn3pn3qo2qo2qp2rp2rq1sq1sq1sr1tr1\ ts0ts0ut0ut0uu0tv1tw2tx3sy3sz4sz5zzEzzGzzIzzKzzMzz\ OzzQzzSzzUzzWzzZzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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