May 2005 - Fractint - mailman.xmission.com

FOTD 25-05-05 (Stringing Along [5])
by Jim Muth 25 May '05

25 May '05

FOTD -- May 25, 2005 (Rating 5) Fractal visionaries and enthusiasts: On Tuesday evening I wondered what would happen if the almost- Mandelbrot set were rotated 180 degrees, so that the main stem fell on the positive half of the real axis instead of the negative half. With the exponent of Z so close to the integer 2, I needed to go 3,141,585 levels up the hyperspiral before the fractal rotated a full 180 degrees. (I assume the proximity to the number PI is coincidental.) What I found at this cosmic level is little more than a mirror image of the ground-level figure. The main stem once again is infinitely divided, with the 'explosion in a rail yard' effect prominent. Instead of investigating the east valley of the largest midget, I checked the east valley of a sub-midget on the main stem of the large midget, and found a nest of sub-midgets arranged as though they were strung out like beads on a string. I named the image "Stringing Along", and rated it a 5, which is average. It might be worth a 6 or so, but I am starting to grow bored with the 'infinitely divided main stem' theme, and could give the image no higher a rating. The render time of 9-1/2 minutes on my 10-year-old machine is on the slow side, especially in a world moving at a hectic pace. But quick relief for latent impatience is on hand at the FOTD web site, which can be found at the URL: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed GIF image waits, ready for download. A cold, dreary, rainy day on Tuesday here at Fractal Central left the cats' moods on the surly side. Extra tuna made them feel somewhat better in the evening, but it could not make up for an entire day of forced confinement. Today is starting cloudy and cold, with rain scattered around the area. It could be as bad a day as yesterday. For me it's work first. The fractals come later. Until 24 hours have passed, take care, and where do prime numbers come from, if from anywhere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Stringing_Along { ; time=0:09:38.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.78357259738345500/+0.000006023651137\ 31/1.04065e+008 params=2.000001/0/3141585/0 float=y maxiter=5000 inside=0 logmap=228 periodicity=10 colors=0000000000000000000000000100200300400500500\ 600600800801801901902A02A02A03B04B04C05C05E06E06F0\ 9F0CE3GC8KBCPAHSAKUAMUAOUAQUASUAUUAWUAYUA_UAaUAcUA\ eUAgUAiUAkUAmUAmUAmUAmVAmWAmYAm_AmaAmcAmeAmgAmiAmk\ 8nm6ro9rqArsCruErwGrxHryKrzMrzPrzQrzTrzVrzYrzZrzar\ zcrzfrzhrzlrznrzqrzrrzvrzxrzzrzzrzveyoTxhJta9vZ2rY\ 1qW1oW0nV0lT0hT0fS0eQ0cQ0aP0ZN0YN0WM0VK0TK0QJ0PH0N\ H0MG0JE0KG0MJ0MM0NP0NS3PV5PY8Q`AQaCSeGThJTlMVoPVrT\ WvWWyZYzaZzfYzeWzeVzeTzeSzcQzcPzcNzcMzaKzaJzaHzaGz\ `Fz`Ez`Cz`BzZzzZzzZzzZzzYzzY4zY2zW3zY3zY3yZ3vZ3t`3\ r`3q`4na4la4jc4fc4ee4ce4ae5Zf5Yf5Wh5Th5Sj5Qj5Pj6Ql\ 6Sl6Un6Wn6Yo6_o2`z6aoBbeGcWMcMScEYc6cd0je0qf0og0oh\ 0ni0nj0lk0ll0jm1jn3ho5hp8fqAfrCesFetHcuKcvNawQawT`\ wW`wZZwaZweYxhYyjWzeWzaWzZVzWVzTVzPTzMTzJTzGSzESzA\ Sz8Qz5Qz3Qz1Qz0SzASzNTzaTzqSzrQzrPzrNzrNzrMzrKzrJz\ rJzrHzrGzrFzrFzrEzrCzrBzr } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-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: FOTD 23-05-05 (Rectangular Miracle [6])
by Jim Muth 24 May '05

24 May '05

At 12:40 AM 5/24/05 +0500, Tony Hanmer wrote about the "Rectangular Miracle" image: >... A very surprised looking giant Sta-Puff >marshmallow slug caught in the act of opening its >mouth to devour Tokyo, I think! Cool! It reminds me of the old 1950's sci-fi movie "Forbidden Planet", where the invisible monster from the id is trapped in the force field. Jim M.

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FOTD 24-05-05 (Baleen [7])
by Jim Muth 24 May '05

24 May '05

FOTD -- May 24, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Baleen". Baleen is the bony material, better known as whalebone, that baleen whales have hanging in their mouth. It acts as a filter to collect the tiny organisms on which they feed. Baleen was also used as corset stays to give the ladies their waspish waists when wasp-waists were in fashion. I am not sure what baleen has to do with math and fractals, but for some strange reason I thought of it when I saw today's image. The scene is once again the East Valley of the large midget on the main stem of an almost-Mandelbrot set, with the difference being that we are no longer at ground level of the logarithmic hyperspiral. At this level, the same effect of an explosion in a railroad switching yard is there, though some subtle changes have appeared. The image is striking enough to earn a rating of a 7. The render time of 11 minutes (on my machine) is not strikingly short, but the minor delay may be avoided by downloading the pre-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain threatened on Monday here at Fractal Central, but it never arrived. The temperature reached a mild 66F 19C. This is chilly when compared to the normal 77F 25C, but the fractal cats didn't mind. They spent several hours in the yard, happily watching the birds fly by. This morning is starting cloudy and quite chilly, with the rain finally in progress. We'll have to see what the cats do about it. For me it's business work first and fractal play second. The next FOTD will appear in 24 hours. Until then, take care, and if a four-dimensional planet existed, it could rotate in two different directions at the same time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Baleen { ; time=0:11:03.61--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.74943279579828000/+0.000015340344480\ 69/1.301765e+010/1/72.5000023442275108/9.170595638\ 25678437e-006 params=2.000001/0/4/0 float=y maxiter=2500 inside=0 logmap=345 periodicity=10 colors=000C48B59B6AA7BA8C99D9AE8BF8CG7DK7INDMTIQWO\ YbTflZotczzfqZglVggShbPhYMhTJiOGiJDjEAj97j44cBFXIQ\ QP_RNZSMZTLZUJZVIZWHZXFYYEYZDY_BY`AYa9Ya8YRMTG_O5l\ K7jL9iLBgLDfLEeLFeOHdRIdUdNWz6X3Tu6TE`LEZHWYDm7RW8\ T_9VbAXeBZhC`kLebUjUhoMutDzz5mmME6aD5`C5_C4_B4ZB4Z\ LC_UJ_bQ`kX`ihfhslgnbfiUfdKe_BeV2kZ5qb8ieHbhQWkZ87\ oD6jH5eL4`P3WT2RX2MaELfQLjaKomKsxKrarvMwtKpsJirIbq\ HWpGPoFJhLPaRVVW`PLWKAS5iS8eTAaUCZVEVVHRWJOXLKYNHY\ UER_BKc8Dz66zCIzONz_S9kX8mT8nP8oL8pH7qD7r97s57t16s\ 35s54r73r82rA1qC0qE0qF2rO4sX6td8umAuuEnsHhrKbpNXoQ\ QnTKlWEkZ8jXDZWIOTGSQEWODZLBbINmGczDczBczLcc4cJu0G\ i2LY4QM6VB7_uF0mG5fHA_IESIJLJNEKS7KWGPYPT_YYafacof\ exjgJCRIHNHLKGPGFUDEY9Da6C`6B`6uKYoLPiMHcN8ZN0_O2_\ P3`Q4`R6aS7aT8bTAbUBcVCcWEdXFdYGdYHPcSccbccdmcfwcg\ zcizXkzTlzSmzRnzRnzQozQozPpzOqzOqzNrzNrzMszMszOqzQ\ pzRozTmzUmzUmzUmzUmzUmzUm } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 23-05-05 (Rectangular Miracle [6])
by Jim Muth 23 May '05

23 May '05

FOTD -- May 23, 2005 (Rating 6) Fractal visionaries and enthusiasts: I tried to make something of the Julia aspect of the 'Miracle' fractal that appeared on May 17, but to no avail. All is not lost however, for the Rectangular aspect of the scene proved to be quite interesting, completely transforming the original diamond into a vague safety-pin shape. It is this Rectangular aspect that appears as today's FOTD. I picked up the color palette from the original 'Miracle' image, applied it to today's image, and named the result "Rectangular Miracle". An honest evaluation of the image convinced me that it was worth a rating of no more than a 5, but I rated it at a 6 anyway. Those who choose to run the included parameter file will wait around 4-1/2 minutes to view the distorted miracle. Those with the most modern machines will view it in a minute or so, that is unless their state-of-the-art fireball machines are Fractint challenged, in which case they will need to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. Near perfect weather made for saintly cats here at Fractal Central on Sunday. Unfortunately, being saintly is not much fun, so there is little activity to report. The duo spent the day quietly in the holly patch. Today is starting with increa- sing clouds and forecasts of afternoon rain. The cats had best take their daily outing early. For me the work is on the light side. If I don't turn totally lazy, this could mean a superior fractal for tomorrow. Until then, take care, and prepare for the infinite. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RectangularMiracle { ; time=0:04:24.31--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident center-mag=-0.00000016066169414/+0.000000000158181\ 08/758157.5/27/166.723380099685556/-76.33078348867\ 65733 params=0/90/2.000001/0/-1.749851541979/4.742\ 589e-006/-1.749851541979/4.742589e-006 float=y maxiter=5000 inside=0 logmap=325 periodicity=10 colors=000Q9QdKmcKlbKkaKj`Ki_KhZKgYKfXKeWKdVKcUKbT\ KaSK`RI_QGYO9WMFUKLS4Q31X06a0Af0Dl0Ip4Mu9PzDTzIXzM\ azJfsIllGpcDvXCzPAvLDsIFpFGlAJi7Lf4Mc1OX7JQDGLJCDP\ 97V41`1CTAMOIXIP`LMcOJfQGjTDmXAp_9mf6jm4gs3dz1az0O\ fLAIc9Pf7Vg7`i6gj4ml4sm7v`AyODzAFz070zF0rL0jS0cY0V\ d0Oj0Gp09u0Jx0Tz0csAXmOPg`IaoAXz3Qz0`zAiyPrrazjpzc\ zfgoFl`PVP_DDi03c6CYFJSOQMVYGcdAll4us0zzIos`alsPfr\ LdpIdpFdoCdo9dUUUcccmmmzzzzzzzzzzzzzvzzszzpzzmxzju\ zgrzdoz_mzTmzOmxIlsClp6lm1lo0mo0op0pp0rr0sr0ur0uj3\ jcJaXYTSVSOSQJPPFMOCLOLIQTGS`DTiCVr9Xy7YoDQdJLXPDM\ V7C`03d0LzzCzg3zITdzOgzJjpFmc9oS4rF0u3MO0D_04j0_00\ T40PC0JL0FSOA_F4g70o0mXzf`r_ciTf`MiSFmI9p91s0Lr9Gs\ 6Ds39u06u01v00v04_LlOG0Az0Qf0fGpSOa`FOg79o0Cgz3oTv\ Xmfc_QiLAp60zI0zD0z90z40y00y0VzOQzJMzFKzAPz7Uz3Zz0\ cz0hz6kz3nz1qz0tz0wz0zz0zzLzzFzzAzz6zz0zz0zzQzzQzz\ Qzz9zzZzzOzz7zzCzz9zz6zz3 } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 22-05-05 (Hotfoot [7])
by Jim Muth 22 May '05

22 May '05

FOTD -- May 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's discussion I said that today I would investigate the Julia orientation of the 'Miracle' fractal that appeared on May 17. I am in the process of investigating it, but so far I have found nothing worthy of FOTD status, (which itself is not that high). I will do further investigation later today. Who knows, I might even surprise myself. Instead of revealing a Julia 'Miracle', today's image takes us to one of my favorite places in all of fractal land -- the east valley of the large midget on the infinitely divided main stem of the Z^2.003+C Mandeloid. This is the area that holds the mysterious Julia rectangle that I keep returning to, though in today's image we are in the Mandelbrot orientation. For some unknown reason I named the image "Hotfoot". Actually it looks more like a rail yard designed by a maniac. The colors are very intense, perhaps a bit too intense for the otherwise un-exceptional scene. Regardless, I have rated the image at an above-average 7. The render time of just under 5 minutes on my 10-year-old compu- ter will be reduced to 1 minute or so on the fastest machines. But it is still fun to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed GIF image from there. Near ideal weather on Saturday had a great effect on the fractal cats. They spent several hours lounging in the yard doing nothing, which is what cats do best. My day would have been better if I had not needed to trim the grass in the afternoon. This morning is starting about the same. I expect more of the same from the cat duo. The next FOTD will appear in 24 hours. Until then, take care, and look for improvement. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hotfoot { ; time=0:04:56.93--SF6 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74396902537854000/+0.000726790474579\ 19/2.995057e+007/1/-122.5/2.74998442365004259e-007 params=2.003/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=159 periodicity=10 colors=000AAHAAIAAJAAKAALAAMAAOAAQAASABUACWADYAE_A\ FaAGcAHeAIgAJiAKj9Kk3Kl0Km0Kn0Ko0Kp0Kq1Kr3Ks5Kt6Ku\ 9KvBNwCQxFTzHWzIZzKazFdzCgz9jz6mz3hz0cz0cw0Zt0Uq0P\ n0Kj0Ff0Ab05Z0BV0CS09P06M05L01K00I10H90FH0EO0CV0Bb\ 19i57o76tB3zE0zH0zK0zL0zL0zL6zL9zO5zP0zS0zU0zV0tY0\ p`0kb0fd1bg5Yi7SkBOoEKpHEsK9vM5wP0zd6qULfKYV7kK0x7\ 0vB0tC0sE1qH6oIBmKFkMKjOOgPSfSWdU`cVd`Yi__mY`qWbvg\ WwqRwzLxzHxzF`zECzC0zH0zL1zP9zUHzYMzbUzd`zigzmmzqt\ zvzzzzzzzxvzxpzwjxwdtvYovSjvMftH`t9Ws3Rs0Ms0Ip0Ho1\ Hm7HjCFiIFgMFdSEcWEb`EfbIibLkbOobRqbUtbYwb`zbczbfz\ bizdfzfdzgbzi`zjYzkWzmUzoSzpRzqOzsLztIzvHzwEzxBzx9\ zz6zz3zz0xz0xz0xz0xz0wz0vz0tw0st3qq6po9pjCogFmdIkb\ Lj_OiWRiUUjPVkLVkHWmEWo9Yo5Yp0_p0_m0Wk3Vi6Ug9SfCRc\ FPbIO_LMYOLWPK`OIdOIiMIkMIpLItLIwLIxIOzHSzEYzCbz9g\ zHkzOqzVszbtzivziwzixzizzizzizzizzizzizzizzizzizzi\ zzizzizzizzizzizzizzizziz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 21-05-05 (Warped Miracle [6])
by Jim Muth 21 May '05

21 May '05

FOTD -- May 21, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD, we take the 'Miracle' fractal of May 17, which rated a 9, and reduce it to a mere vestige of itself, which rates a 6. We do this by slicing through the same part of the Julibrot in a random oblique direction and applying the same color palette to the resulting image. The name "Warped Miracle" is fully justified. We see the same picket-fence features and the same pink elements billowing as though air were being pumped into them from beneath. The discontinuities are still obvious, as is the tiny satellite that held the 4 midgets that appeared in the 'Siamese Quadruplets' image of May 19. The quad satellite is near bottom center in today's image. Unfortunately, at this angle, the quads have been swallowed up, leaving only a pathetic 'dry lake'. But do not despair at today's lack of quality, fractal fans. We have not yet seen the Julia aspect of the area. Tomorrow's FOTD will reveal the Julia aspect in all the glory it can muster. As for today's image, its 8-1/2 minute render time is a bit slow, making the download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> the better choice. Rain fell steadily all day Friday here at Fractal Central. By the time it ended around sunset, 2 inches (5cm) had fallen, and the fractal cats were thoroughly disgusted. An afternoon temperature of a very cold 48F 9C, and winds gusting to 40mph 65kph made things even worse. It is un-necessary to state that the cats demanded a huge serving of the best tuna before they were fit to live with. Today is starting sunny but quite chilly. Hopefully, the duo will turn unexpectedly intrepid. I plan on doing next to nothing for the rest of the day. Until the next FOTD appears, which will be in 24 hours, take care, and try to solve the riddle. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Warped_Miracle { ; time=0:08:39.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 float=y center-mag=+0.00000013463092907/-0.000000000220221\ 81/1.895516e+007/0.1552/-1.39132205853407465/-88.2\ 936184378360309 params=-36/-89/2.000001/0/-1.74985\ 1541979/4.742589e-006/-1.749851541979/4.742589e-006 maxiter=2400 inside=0 logmap=325 periodicity=10 colors=000eKndKmcKlbKkaKj`Ki_KhZKgYKfXKeWKdVKcUKbT\ KaSK`RI_QGYO9WMFUKLS4Q31X06a0Af0Dl0Ip4Mu9PzDTzIXzM\ azJfsIllGpcDvXCzPAvLDsIFpFGlAJi7Lf4Mc1OX7JQDGLJCDP\ 97V41`1CTAMOIXIP`LMcOJfQGjTDmXAp_9mf6jm4gs3dz1az0O\ fLAIc9Pf7Vg7`i6gj4ml4sm7v`AyODzAFz070zF0rL0jS0cY0V\ d0Oj0Gp09u0Jx0Tz0csAXmOPg`IaoAXz3Qz0`zAiyPrrazjpzc\ zfgoFl`PVP_DDi03c6CYFJSOQMVYGcdAll4us0zzIos`alsPfr\ LdpIdpFdoCdo9dUUUcccmmmzzzzzzzzzzzzzvzzszzpzzmxzju\ zgrzdoz_mzTmzOmxIlsClp6lm1lo0mo0op0pp0rr0sr0ur0uj3\ jcJaXYTSVSOSQJPPFMOCLOLIQTGS`DTiCVr9Xy7YoDQdJLXPDM\ V7C`03d0LzzCzg3zITdzOgzJjpFmc9oS4rF0u3MO0D_04j0_00\ T40PC0JL0FSOA_F4g70o0mXzf`r_ciTf`MiSFmI9p91s0Lr9Gs\ 6Ds39u06u01v00v04_LlOG0Az0Qf0fGpSOa`FOg79o0Cgz3oTv\ Xmfc_QiLAp60zI0zD0z90z40y00y0VzOQzJMzFKzAPz7Uz3Zz0\ cz0hz6kz3nz1qz0tz0wz0zz0zzLzzFzzAzz6zz0zz0zzQzzQzz\ Qzz9zzZzzOzz7zzCzz9zz6zz3 } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 20-05-05 (Absolutely Glorious [7])
by Jim Muth 20 May '05

20 May '05

FOTD -- May 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: I have named today's fractal "Absolutely Glorious". Whether or not it truly is absolutely glorious is up to the viewer to decide. The diagonal split cutting close to the center of the frame spoils the symmetry, but the amberish aura surrounding the dissected central figure is notable, at least on my CRT fractal monitor. How it will appear on the newer LED or plasma monitors will depend on how those monitors are adjusted. The image is a scene in East Valley of the prominent midget on the infinitely divided main stem of the Z^2.000001+C Mandeloid. This near-M-set line of fractal exploration is quite rich. It is surprising how I could have missed it for so long, especially considering that it could have been done almost as quickly with the manzpower formula of Fractint. I am beginning to wonder what these areas of the near-Mandeloids look like in the other directions, especially the Julia direc- tion. It's a good line of thought, so stay tuned and see what happens. The rating of a 7 indicates that I consider today's image above average. The render time of 6-1/2 minutes means it is slightly slow. And as always, the finished GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An adequate day on Thursday kept the cats out of trouble. It kept me out of trouble also. But today is starting with rain, and I doubt that today will be adequate. Regardless of the weather, the next FOTD will appear in 24 hours. Until then, take care, and when in doubt, check it out. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AbsolutelyGlorious { ; time=0:06:30.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotN passes=1 center-mag=-1.74853367804061200/+0.000007698676213\ 47/4.102564e+009 params=2.000001/0/0/0/0/0 float=y maxiter=2500 inside=0 logmap=269 periodicity=10 colors=000A63D60G91JC1MF2PH2SK3UN3WQ4YS4`V4dY5g`5k\ b6ne6rh7uk7xm7zo6zq5zr4zt3wu2rw1mx0hu8csFZqMUoTPm_\ `bggLobIm`DjWOcUUSS`XRhbPogOslLvfJtaHrXFpSDnNBlI9j\ D7h86fA5eF5dK7cM9bOBaQD`SF_RHZQJYPLXONWNMVMLULJTKI\ SKHRKDQKDQKDQKDQKCQKCQKCQKCQKEQKGQKIQKKQKMQKOQKQPK\ SOKTNKUMKVLKWKJXKHYKFZKD_KD`KC_KCZKCXKCWKCVKCTKCSK\ CRKCPKCOKBNLBLMBKMBJNBHNBGOBFPBDRBCQU7UO8UMzzKuzIs\ wGquEosCmqGkoFimFfkFdiEbgE_eEYcDWaDT_DRYDPWCMUCKSC\ IQBGOBFMFKKKKKPKKUPKZUKcZKhXJlVIiTHeRGbPHZNJWLKSJL\ PHNLFOIDPE31l44h56e58b6A_7CX7EU8GQ9IN9KKAMHBOEzVQu\ UOqUNmTMhTLdSJ`SIWSHSRGOREJQDFQCsBnlEhfGb_IXUKSNMM\ HOGMw`LuZLtYKrXKqWJoVJnUIlTIkRHiQHhPGfOGeNFcMFbLE`\ KEaIDbHDcGCdFCeEBfDBgCVh`TiZSjXRkWQlUOmSNnRMoPLpOJ\ qMIrKHsJGtHEuFDvECwC6xV9yLcz7az8_z8Yz8Wz9Uz9Sz9Qz9\ OzAMzAKzAIzAGzBEzBCzBGzmFzkFziFzgFzeEzcEzaEz`EzZDz\ XDzVDzTDzRCzPCzOSzFNzBHz7 } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 19-05-05 (Siamese Quadruplets [6])
by Jim Muth 19 May '05

19 May '05

FOTD -- May 19, 2005 (Rating 6) Fractal visionaries and enthusiasts: The 'Miracle' fractal that appeared two days ago as the FOTD for May 17 has a small knot-like feature lying just below the large prominent midget. At first glance, this feature appears to have a smaller midget at its center. But first impressions can be deceiving. There is not a single midget at the center, but four midgets, all connected like siamese quadruplets. This configura- tion is so unusual that I chose it as today's FOTD. Unfortunately, I put too little effort into the coloring, with the result that the image can be rated no higher than a 6, which is still a bit above average. The render time of just under one hour is slow, but relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image will has been posted. I am not the first to put today's four crowded midgets before the public. I received an e-mail yesterday directing me to a web site where another view of today's FOTD scene had already been found and rendered, and is now on display. A second view of today's fractal may be found at: <http://linuxenvy.com/bprentice/Fractals/BP_10_11a.jpg> Lots of sun, picturesque clouds, and a high temperature of 73F 23C, made the fractal cats' day quite enjoyable on Wednesday. My day was fair, which is about all one could ask for. Today is starting sunny and mild. It looks good for the duo! The next FOTD will appear in 24 hours. Until then, take care, and if you need comfort in time of despair, forget skeptical science. Turn to fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SiameseQuadruplets { ; time=0:50:04.81--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mandelbrotn passes=1 center-mag=-1.74985153643764000/+0.000004747703553\ 00/1.616436e+010/1/-70/-0.000126419308237250838 params=2.000001/0/0/0/0/0 float=y maxiter=42000 inside=0 logmap=780 periodicity=10 colors=000hrZhrZhrZhrZhrZhrZhrZhrYhqXhpWhoVhnUelTc\ jR`hPZeNWcMTaKRZIOXGMVEITCGQAEO8CM6AM5CN7DP9FRAGTC\ IVDKYFM_GOaIQcJSeLTgMReOQcQPaRO`TMZVLXWKVYJU_IS`GQ\ bFOdENeDLgBJiAHj9Gl8En7Co5Aq49s37t25v14w58s9BpCEmG\ HjKLfNOcRR`VUYYXVa`RecOhfLliIolFinHcpJYrLStNMvPGxR\ HvQHtPHrOIpNInMIlLJiNKfPLdQMaSN_TOXVPVWQSYRQZSN`TL\ aUIcVGdWDfXBgY8iZ6j_3l_1mZ3lY4lX5kW6kV7iU8fT9dSAbR\ C`QD_PE_OF_NG`MH_LI`KJ`MIbNHcOHePGeQFgSFhTEjUDjVDl\ WCmYBoZBo_Aq`9ra9rbBocCmdDjdEheFffGcgHagI_hJXiKVjL\ SjMQkNOlOLmPJmQHnRGnRFnREnRDnRCnRCnRBnRAnR9nR8oR8o\ R7oR6oR5oR4oR4oR3oR2oR1oR0oR0BwgFufJteNudQvcUwbYxa\ `y`dz_hzZlzYozXszWwzVzzUtzTnzThzTczTYzTSzTNzTMzULz\ VLzVKzWKzXJzXJzYIzZIzZGz`FzbDzdCzfBzg9zi8zk6zn5zm4\ zm3zm3zm2zm2zm1zm1zm4zm7zmAzmDzmGzmJzmLzmOzmRzmUzm\ Xzm_zmbzmdzmgzmjzmmzmpzmszmuzmqzmnzmkzmhzmezmbzm_z\ mXzmUzmRzmOzmLzmIzmFzmCzm } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 12-05-05 (Sandy Masks [6])
by Vortex Swirling 18 May '05

18 May '05

>If it did change shape, many of your past FOTD's would change shape when >generated, but the previous gifs and our memories of them should remain the >same. Wait a minute... is this true? Or would it be that the Fractint program would continue to generate the FTOD's the same way as before except that it would now be doing it incorrectly? I should have gotten all sorts of greif on this... spring fever I guess. >But how could this be? Math is math isn't it? If it's not, then how could >you use math to describe everything which would have to include these other >universes. Would anyone care to comment on this??? I'm no math guy here, but I've always been interested it. I know that math is a tool we've invented. But there are some things about math, such as the commutative property of addition that seem natural. Could we use math to include a set of universes where addition did not have this property? Or is it because we (well, at least I) can't even imagine it, that we can just leave something like that out? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.11.10 - Release Date: 5/13/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.11.10 - Release Date: 5/13/2005

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FOTD 18-05-05 (Taken Too Far [8])
by Jim Muth 18 May '05

18 May '05

FOTD -- May 18, 2005 (Rating 8) Fractal visionaries and enthusiasts: In today's image we carry yesterday's line of investigation very close to the limit. We even appear to have taken it too far. We have lowered the exponent of Z to 2.0000005, causing the midget at the center to become squashed. There is a very good reason the midget looks flattened. It is not a single midget at all, but rather an overlapping series of narrow slices of midgets that fit together and overlap into a single quasi-midget shape. The location of the scene is once again very close to the negative X-axis. If I had given a bit more effort to the coloring, I might have created an image with a rating of a 9. As it is, the rating of 8 will have to do. Perhaps the most striking thing about the image is the irregu- larity of the pattern around the midget, which lies in the east valley of a larger midget but shows little signs of being in such a location. The image is downright slow. I must apologize for asking the FOTD readers to donate over one hour of precious computer time to the task of rendering a fractal. But the image is available in all its rendered glory on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather remained rather chilly for the season here at the Fractal Central on Tuesday, but all in all it has been pretty pleasant lately. With the temperature hovering around 68F 20C, the fractal cats enjoyed several hours in the yard, and came in- doors without complaint when the day ended. Today is starting the same, so things again look good for the duo. The next fractal will appear in 24 hours. Until then, take care, and the natural numbers would likely work the same in all possible universes, but what about the complex numbers? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Taken_Too_Far { ; time=1:02:52.24--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74999510927507200/+0.000002281131930\ 25/4.613838e+010/1/-15.0001714311493615/0.00017721\ 8687510645456 params=2.0000005/0/0/0/0/0 float=y maxiter=50000 inside=0 periodicity=10 colors=000zzszzwzzzzzzzzzzzzzzuuzqqwllqffmaahXXcRR\ ZNLVHHPAAL53F00U0ZP0eQ0aO00R00K0070gZ0US07J1CL5HPA\ LTFPXHTZLXaP`fTchXhlZloaosfsujwxmzzozzszzwzzzzzzzz\ zzzzzzzzzzzwzzuzzqzzmzzlzFu`JxcNzhPzlTzoXzsZzwazzc\ zzhzzlzzmzzqzzszzNzz0zz0zz0zz3zzAzxFzuLxqPsmVlj`ff\ c`ajVZmPVsJRwCNzJPzNRzRRzVTzZTzaVzfVzjXzmXzoVzoVzo\ VzoVzoVzoVzoVzqVzqVzqVzqVzqVzqVzqVzsVzsVzsVzsVzsVz\ sVzsVzuTzwRzxRzzPzzNzzNzzLzzJzzJzzHzzHzzNwqTufXqXa\ aNfJHRJCJ05C07F09H1BJ3DQ5FQ7HUAJYCL_FNaHPbJReNThPV\ lRXqVZuX`xZbzadzcfzfhzljzqlzumzzmzzmzzmzzmzzmxzmjz\ mVsmFlm0cm0jm0om0um0zm0zo1zq7zsHzuNzvTzw`zxfzumzss\ zqxzozzmzzlzZff0a10f50j71mCAqFJuJPxLLzRJzXHz`FzfCz\ j7zo5zu3zx1zz0zz0zz0zz0zz0zx0zw0zu0zs0zq0zo0zm0zl0\ zh0zc0z`1zX1zT3uP5oL5jH7cC7Z73TF1NJ0HP0AT03Z00a00h\ 00l00o00q00s00u30w70xC0xH0zL3zP5zT7zVAzXFzXJzZNzZR\ zJzwPzzVzz`zzfuzzzjzzmzzq } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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