May 2009 - Fractint - mailman.xmission.com

FOTD 25-05-09 (Inside the Nucleus [8])
by Jim Muth 25 May '09

25 May '09

FOTD -- May 25, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's image, which is a slight reworking of an earlier FOTD image, reminds me of what one might see if he could shrink himself to the size of an atomic nucleus. In my earlier years I pictured the nucleus as a boiling raspberry, but this was before I realized that things like atomic raspberries and tiny solar systems are mere ideas, models that help us think logically about the atomic realm. Atoms and sub-atomic 'particles' cannot be pictured because they lack the attributes we associate with 'reality', including appearance. The mere fact that we sometimes wonder whether atoms are truly tiny real 'objects' or mere mental fantasy shows that we have no conception of what lies beneath the classical world of the five senses, another fantasy world, upon which materialists have bestowed the exalted status of 'ultimate reality'. Today's image is definitely virtually real and it has a definite appearance. It is the Julia set of the Z^(1.3) Mandeloid as it appears 3 levels up the logarithmic ladder. Most of the action was achieved by rendering the scene with the inside set to bof61. The name "Inside the Nucleus" refers to my impression of the image. Even though the image is a virtual repeat, in my opinion it still rates an 8. And the calculation time of only 16 seconds will seem to pass in a chronon. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Oppressive heat and humidity here at Fractal Central on Sunday was interrupted at 5pm by a heavy but otherwise harmless thunder- shower, which dropped the temperature from 86F 30C to 68F 20C. The fractal cats paid little attention to the rain. My day was spent mostly in recovery from Saturday's trip to O.F.C. The next FOTD will probably be posted on schedule in about 8 hours. Until then, take care, and what do we mean by meaning? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inside_the_Nucleus { ; time=0:00:16.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.00327762/0.00070\ 084/9.34161 params=1.3/0/3/0/-0.74930081/0.3777896\ /0/0 float=y maxiter=1000 inside=bof61 logmap=6 periodicity=10 colors=00000N00s00s00O00K00K00L00N00S00T00V00P00V0\ 0b01e04Y16U47h78v9B_CCUFEjIHjKIbMKjQMjTOlRQiUSlbVl\ eWmcYmlamobmscovgoyoozjozlozmqzzzxmsvmstmssxtqotoo\ vmrzlzzhzzgzzezzczzzzzzzzzzzzzzzzzzzzzzzzzz1lz0hz0\ sz0ex0bt0`q0tz0Yj0Ve0Tb0gs0OW0MT0LQ0az0KM0KL1IL1Qe\ 3HK3HI4FI04H3EH6EFcCF7CE7CC8BCcBB09B999B89c88078C7\ 7E67E66C13E66F87HB9IEBKHELKFMMIOQKQTMSWOT_QzYOzWOz\ WMzVMzVMzTLzTLzSKzQKeQKgOIhOIjMHzMHzLHzKFzKFzIEzIE\ zHEzHCzFCzEBzEBzCBzCAzB9zB9y9Cx9Ev9Ft9Hs8Ko8Lm8Ml8\ Oj7Sh7Te7Vc7Wb7Y`6`_6bW6cV6eT4hS4jQ4lM4mL4oK3sI3tH\ 3vE3xC1zB1z91z81z84z71z60z40t30m10g00`10b10c11e17g\ 3Ch3Hj3Ml3Tm3Ym6Vo7To8SqBQqCOsEMsHLtIKtKItMHvOFvQE\ xTCxVByW9yY8y`6zb4zc3zg1zh0zj0zm0zo0zq0zt0zv0zx0zz\ 0zz0zz0zz0zz0zz0zy0vx0sv0ms1hTOQSKOSHMQELOBIO8HM4F\ L1EL0CK0BK09I0BH0CF0CE0EC0FB0F90H80I70I60K40L30L10\ M00O00O00Q00S00S0PY0cc0vY } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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Re: [Fractint] ???
by JackOfTradeZ＠comcast.net 25 May '09

25 May '09

. Anyone ever hear of, or see, the "burning ship" fractal? It looks awesome, I see it around but never with formulas. Is there a FRACTINT PAR or FRM for this? Might make a good animation, like sinking or getting torpedoed .... .

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Wolfram Alpha Boots Up
by Paul N. Lee 25 May '09

25 May '09

Friday evening (May 15, 2009) was the debut of Stephen Wolfram's "Wolfram Alpha". It officially went public on Monday (May 18, 2009) from the web site at: http://www.wolframalpha.com/index.html According to this article: http://www.hpcwire.com/features/Wolfram-Alpha-Boots-Up-45364022.html Wolfram Alpha employs HPC clusters for its computational hardware. And at launch time, the application had access to about 10,000 x86 CPUs spread across five data-centers. Apparently there are still a few problems to work out, based upon what the article states, but it is interesting to see that queries for fractals can be generated with varying iterations specified. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 24-05-09 (Primary Splat [No Rating])
by Jim Muth 25 May '09

25 May '09

FOTD -- May 24, 2009 (No Rating) Fractal visionaries and enthusiasts: With a calculation time of almost 8-1/2 minutes, today's image is too slow for what it is worth. But it's still worth a peek on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The parent fractal is a kind of Mandeloid with a double-lobed main bay that came about when I combined various portions of (1/Z) and Z^(-13) and added (1/C). Today's scene is located rather deep on the western shore line of the north branch of the pseudo-Seahorse Valley of the parent. The first dozen or so color registers are set to solid black to give the effect of a minibrot hanging in endless space. The name "Primary Splat" can mean anything one wishes. With such a hasty yet slow image, I could not find a proper rating, so I simply let it go with no rating at all. Talk is cheap, but all curiosity may be satisfied and questions about the appearance of the image answered on the above mentioned web site. Light rain showers fell at New Fractal Central on Saturday, but at Old Fractal Central, 150 miles to the south, the weather was perfect, with blue skies and a temperature of 84F 29C. The fractal cats were lazy while I was away. The next FOTD will be posted in about 16 hours. Until then, take care, and unless you are a photon, you can't be in two places at the same time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Primary_Splat { ; time=0:08:27.97-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.951346025334112/+0.5908106245004408/\ 1.6e+007/1/35/0 params=0.096/-13/0.96/-1/0/525/0/0 float=y maxiter=7500 inside=0 logmap=1100 colors=0000000000000000000000000000000000000000000\ 000003ES3DL7BQAAVE8_H7dL6iO4nS3sV2wT5tR8qQBoODlNGj\ LJgJLdIObGR_FTYD__Bfa9mc8seFr`MrWTqS_qNfpImpEtg9zo\ 5zU8zUAz0CzKFzKHbJJZDMV8OS3QT2PT1OU2NU3NU3MV4MV4LV\ 5LV5LS4NP3PM3RJ2TG2VD1XA1Z70`50b85_BAXEFUGKSJPPMUM\ PZJRcHUhEXmB_r8aw6_v7Yv7Wv7Uv7Sv7Qv7Ov7Mv7Kv7Iv7Gt\ BErEDpIBnLAlP8jS7hW5fZ4da6cb8cc9cdBceCceEbfGbgHbhJ\ biKbiDeP6g47h67h77i97iA8jB8jD8jE8kF8kH9lI9lJ9mL9mM\ 9mNDnLHoKKpIOqHRrFVsEZtDauBevAhw8lx7oy6mvCktIirNgp\ TenYclcbjh`hi_gjZekYdlXcmWanV`oUZpTYqSXrRVsQUtPSuO\ RvNQvUbw_owWruS_sOTqKazGDmC6kD0KD0iELhEQgEUgGScIQ`\ JPYLNUMLROKOPIKRGHSFEam6`z5`j5zi5_h5Zg5Zf4Ye4Yd4Xc\ 4Xb4Wa3Z`3Z_3cZ3cY3hX3hZ8m`DmbIrdNrfSvhXvjazlfznkz\ ppzruzsyzowzlvzhuzetzaszZrzWqzSpzPozLnzImzFlzIhzKd\ zNazPYzSVzURzXOzZKzaHzcDzfAzh6zj3zWDzHNz2Xz7WzBWzF\ VzJVzLkzKkzJlzIlzHlzGezFZ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 23-05-09 (Primary Aversion [6])
by Jim Muth 22 May '09

22 May '09

FOTD -- May 23, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's image is an improvement over yesterday's, though not as much of an improvement as I had hoped for. It's an evaporated scene in the parent fractal that results when various portions of Z^(-1.15) and Z^(-5.5) are combined and (1/C) is added. The obvious flaw is the raggedness. I was a bit too enthusias- tic with the magnitude and went too far beyond the limit of resolution. But the jagged edges can actually be taken as a part of the texture, so I inserted the mathtolerance entry into the parameter file and let it go. Like so many of the names I give to the FOTD images, the name of today's image, "Primary Aversion" means nothing more than what the viewer might put into it. The rating of a 6 is 2 points higher than yesterday's abysmal 4, but still only the slightest bit above average. The calculation time of 3-1/2 minutes is true on the 2000mhz unit. On other machines the parameter file will run faster or slower. And as always, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Midsummer arrived in full force here at Fractal Central on Friday, with near total sun and a temperature of 88F 31C. The fractal cats spent most of the day watching the local stray cats attacking the catnip mint plants FL planted in her garden the evening before. By the end of the day, the catnip was gone and the neighborhood cats were quite happy. My day was near average. The next FOTD might not be posted until midday Sunday, since I'll be making a short trip back to Old Fractal Central on Saturday. Until whenever, take care, and have a good time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Primary_Aversion { ; time=0:03:29.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.299459189430742/-1.308475692667019/\ 1.22481e+013/1/-102/0 params=-5/-1.15/-1.5/-5.5/0/\ 1e+100/0/0 float=y maxiter=2500 inside=bof61 periodicity=10 mathtolerance=0.05/1 colors=000Q40D2020000000000002004606F08M0BS0Da2Fg2\ Hp4Jw0Hz4Mz8OzBQyFSwJVuMXrQ_pSanXcjaegcgegjcllann_\ rpXurVzp6zz0zn0z_0zJ0z44z00z04y0Bw0Hr0Op6VnD_jJegO\ leVraay_gzMrzSnzXlzajzegzjezncwrarw_pzXlzjpzVjlFer\ HzS0a00000020680JH0XO0j20zH0yV0uj0py0pw0lu0gr2cp2_\ n4Vl6Sj8Og8JeBFVeeVzOXpVXaa_Jg_4n_0r0z00z00u00n00e\ 00_00S00J00D0000020260DD4OHBXOHgSQr_Xzcczjjzlwznpz\ plzrgzrczu_zwVwwQryMlzHgzDcz8_z4Vz0Qz0Mz0Hz0zz0zz0\ wz0pu0lj0ea0aQ0VH0Q60J00F00B00H00M00S00X40cB0gF0lM\ 0rS2w_6zeBzlFzeHnQFrSDeJB_FBQB8H46F4400400V00020n0\ 0000200200O00200400400400404600N00PV660O4e64062062\ 2g0S60H60H60OS0S6Dn6jX6SFSB0600600n0za0zz00l0zr00z\ 00z0zz0zz0zz00z00z0zz0zz00z4zz62z8zyDBuFFpHHlJzgDB\ c68_06V0zS00O00J00F0zD06F0nH0SH0cJ4pMDzMOzOXzQgzQp\ zOnzMlzJlzHjzFgzDgzBez8cz6cc4zXSzSSzVSzXSz_Sza6Oc6\ Me8Jg8HjBFlBDzHMyDFnBBa84 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 22-05-09 (No Discontinuities [4])
by Jim Muth 22 May '09

22 May '09

FOTD -- May 22, 2009 (Rating 4) Fractal visionaries and enthusiasts: Due to a very busy day on Thursday, I had no time for a proper fractal search, so I dredged up an image that I was working on when I shut off the fractal machine for the day Wednesday evening. The image is typical of the stuff I throw in the trash bin several times every day. The name I gave the image, "No Discontinuities", is not true. I thought it was true when I named the image, but a closer examina- tion revealed a subtle break extending west-southwest from the west end of the minibrot. But considering that the image is a mixture of Z^2 and Z^4.5 features, the existence of only this single minor fault line is unexpected. The scene is obviously in the Seahorse Valley area of a larger parent fractal, in this case a grossly inflated Mandelbrot set, which takes on new and unusual characteristics in its depths. A barely noticeable fault line does not make a great fractal image. Since I could find little else of worth in the scene, I rated it at a humble and below-average 4. The calculation time of 3 minutes may be cut to 2 minutes, with only a slight loss of accuracy, by rendering the image with the passes set to 'g' instead of the '1' in the parameter file. The image may be seen in full accuracy in even less than 2 minutes by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for instant satisfaction. Total sun and a temperature of 86F 30C made Thursday seem like a July day here at Fractal Central. The fractal cats had their thrill when they spotted two pigeons cooing and doing naughty things on the side walkway. My thrill came when I finished the unexpectedly heavy work and chose the unexpectedly lackluster fractal. The next FOTD, certainly no burning ship, will be posted in 24 hours. Until then, take care, and try to fill the hollow inside. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= No_Discontinuities { ; time=0:03:01.59-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-149.5262833418637/+23.25272903656032/\ 26715.09/1/-40.25/0 params=4.5/200 float=y maxiter=25000 inside=0 logmap=140 periodicity=10 colors=0008gz9hzAhyBhvChsChpDimEijFigGidGibFjdFkfF\ lhFljFmlEnnEopEorEptEqvCszEqxGpwIovJnsLmqNkoPjmQik\ ShiUggWeeXdcZca`a_b_YbZXbYVaXSaWRaVP`UN_TL_SLZRKYQ\ JXOIXNHWLGVKF`G8VJFFC5QLL_T_i`nbVeXPYRKPLEHF88930C\ 62F93IC4LE5OH6RK8UN9XPA_SBbVCeYEh_FkbGneHsgHpgIngJ\ kgKigLfgMffLdgNchObiPajR`kS_lTZmVYnWXoXWpZVq_Ur`Ts\ bStcRudNthQueSubUu`XuYZuW`vTbvRevOgvMivJkwHnwEpwCr\ w9tw7qu7nt7kr7hq7eo7bn7_l7Xk7Ui7Rh7Me5Pg7Sh9UiAXkC\ _lDamFdoGgpIiqJelHbhG_dFX`DUXCRTBOP9LL8IH7FD6KEBPE\ GTEKYEPaETfEYg8YjEamKepPigPcZPZHKVRPU`UTjZSsdMtcSu\ bXvabw`gx`luZjsYiqXhzVgmUfkTdiScgQbePacO`z3ZzN_zf`\ zz`zyZzwYzuXzsWzqZGo`zmbzmdzmfzmhzmrzmjzmbzoVzqNkt\ Fzw7zz0zz2zz4zz6zz8zzAzzCzzFzzDzzCzzBzzAzz9zz8fz7z\ z6zz5zzNzzOzzOzzOzzOzzOzzOzzOzzPzzPzzPzzPzzPJzPzzP\ zzPzzazznzz6zzzzztzzozzizzdzz_zzUzzPzzJzzVzzVzzVzz\ XzzZzz`zzazzczzezzfzzhzzj } 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 21-05-09 (Holey Seahorses [7])
by Jim Muth 21 May '09

21 May '09

FOTD -- May 21, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today we take a journey into one of those oversized Mandelbrot sets generated by the NewDivideBrot formula, which are Mandel- brot only on the surface. In its depths, today's M-set develops distinctly Z^(77)+C characteristics. In the image we delve into the Seahorse Valley area of the parent M-set. Near the limit of resolution we find a scene that by all rights should have a quadratic minibrot at its center. All the quadratic trimmings are there, but at the center we actually have a Z^(77)+C minibrot. Since we are at the limit of resolution, it is not possible to go any deeper into the image, but from studying similar scenes at lesser magnitudes, I can state that there are no discontinui- ties in the scene. The sharp cutting-off of the quadratic elements is a total illusion. It all blends smoothly. The name I chose for the image -- "Holey Seahorses" -- refers to the apparent hole in an otherwise pretty normal appearing Sea- horse Valley scene. It is not a call to the god of seahorses. The rating of a 7 is just far enough above average to make the calculation time of 2-1/2 minutes worth the effort. A trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image is always worth the effort regardless of the calculation time. An absolutely perfect day prevailed here at Fractal Central on Wednesday, with a cloudless sky, light winds, low humidity and a temperature of 84F 29C. The fractal cats purred in delight. My day was mildly busy taking up the slack while FL busied herself in the fractal garden. If all goes well, tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and how important is an individual person to the uni- verse as a whole? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Holey_Seahorses { ; time=0:02:34.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-149.5299161466038/+23.24859716591299/\ 4.869088e+010/1/-2.75/0 params=77/200 float=y maxiter=3600 inside=0 logmap=302 periodicity=10 mathtolerance=0.05/1 colors=000hFagFZeGWdGTcGQbHNaHK`IH_IEZIBWJCUKDSLDQ\ LEOMFLNFJOGHOHFPHDQIBQIDMEEIBFE8GA5LC7QD8UE9ZFAbHB\ gICkJDpKEtLFsPGsTHsXIs`JsdJshKslLspMstNsxNowPkwQgv\ SdvT`uVXuWTuXQtZMt_IsaEscBseKsgUri`qkcom`ooannZmnW\ lmTklQjlNikKhkKbfKXaKRXKMTKGOKAJK5FL4IM4KM4MN4PN4R\ O4TO4WP4YQ3_Q3bR3dR3fS3iS3kT3mT3oU9lUFjULgUReUXcUb\ `UhZUmXUgZUb_UY`UTaUObUJcUEdU9eY8g`7ic7jg6lj5mm5oq\ 4pt3rw3sv4qv5pv6ov7nv8lv9kvAjvBivChvDfvEevFdvGcvGb\ aBaI7`GAZFCXEFWDHUCKTBMRAOQGPVMP_RPdXPhaPmgPrlPvjR\ phTjfVdeXZcZTa`N`bHVYJPTKKOMEJN8EP39Quy6ovEisLcqSY\ nZSkeMilGfsAdzF_xKWwOSvTOuXJtaFseBrj7qn3pY8VX8XW8Y\ V8_U8`T8bS8cR8eR8fQ8hP8iO8kN8lM8nL8oL8pIAcFBSCDFAE\ 3LBBV8Jd5Rn3Yp4`q5cr5fs6it6lu7ov7qrCioGbkLWhPPdUIa\ YBZa4`_8bZBdXEeWIgVLiTOjSRlRVnPYpO`qNdsLguKjvJmwLj\ wMgwNewObwP_wRYwSVxTSxUQxVNxXKxYIxZFx_Cx`AAsRCqPEo\ NGmLIlJKjHMhFNgDPeBRc9Tb7 } 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 20-05-09 (Candy For The Eyes [6])
by Jim Muth 19 May '09

19 May '09

FOTD -- May 20, 2009 (Rating 6) Fractal visionaries and enthusiasts: Fractals are candy for the eyes, which is what I named today's image. (Of course, fractals can also make a kind of music, though I have yet to hear any fractal 'music' that I would like to listen to a second or third time.) Today's image is evaporated, which means the bailout radius is so large that no points at all ever escape, a thing that is possible only with fractals created from negative exponents of Z. But an evaporated image does not necessarily mean a blank screen. When a fractal evaporates, it leaves a ghost behind that can be made manifest with certain active inside fills, such as the 'bof61' fill of today's image. I rated the image at a 6 -- an adequate rating. The calculation time of 1-3/4 minutes is quite brief, almost as brief as the time required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy the completed image posted there. Wall-to-wall sunshine and a temperature of 73F 23C made Tuesday all that could be asked for here at Fractal Central. The macho fractal cats enjoyed the sun on their shelf in the sunny south- west window. My day was about average. The next FOTD will be posted in 24 hours. Until then, take care, and be the first to solve the ultimate paradox. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Candy_For_The_Eyes { ; time=0:01:45.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+206.0879684531/+359.192822455/204.418/\ 1/85/0 params=2.5/-1.05/0.35/-5.05/0/1e+100/0/0 float=y maxiter=12500 inside=bof61 periodicity=10 colors=000NZ`KZWG_QD_LA`G7`BD_HI_MNZRSZXXYaaYffYke\ e`dlRctGbz6_t9XmCVgFS`HQVKNONLIPOHQRHRUGRXGS_FSbFT\ eFT070TYLNfHGoDAx94z6GzMSzabwpYvrUvsQuuMuvIwwEywBz\ wUlwkZwjYriXnhWihVegUafTXeSTeSP`UTXVWTX_PYbL_fH`i0\ 70LVlMSmOQnQNpRKqTHrUFs`NtgUtn`tugtn_`gTIdXOa_TZcY\ WfbTjgQmlNqqKtvRiwY_wdQwkGwfEhbCUYAFU90SB1QC2070MF\ 4KH5II6GJ7NQKTXXZcidjunuhwzXkmR`WLQFFYKVmOzmZmfNr`\ TlVDeP8_QEN7JB9RJAZRBfZCnfDvmBol9hk7aj5Vi3Pi8MhDJh\ IHgNEgSCfX9fp7f`Ec_LaZR_YYXXdVWjTzzzzzzzzrzzmzzczz\ UzzKzzGzzGzzFzyFzrEzkEzdIzYMzRQzRTZhXWd`TadRZgTYcV\ X_WWWYVT_UP`TLbSHdREeQAgP6hP3fO7eOBcNEbNI`MM_MPYLT\ XLWWK_UKcTJfRJjQInOIqNHuMHxKMuJQs070GZnEblDfjHggKh\ eOicRjaVk_YlYalWdmUhnSkoQopOrqMuqKjrL`sMQtNGuO6vO8\ tMAsLCqKDpJFoIHmGIlFKjEMiDNhCReAUc9Ya7`_6dY4gW3kU1\ nS0mW2l_3kc4kg6jk7io8isAhwBgzCgzDanFWZGZYJaYLcYNfY\ PiYSkYUnYWpYYhcTYagUXkQYe } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 19-05-09 (Tardy Technicality [7.5])
by Jim Muth 18 May '09

18 May '09

FOTD -- May 19, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: The parent fractal of today's image is a Mandelbrot set caught in the act of devolving into the circular hole created by the iterated non-formula Z+C. This halfway fractal is shaped like a tear drop with a tiny extra bay on the smooth shore line of its pointed east end. (I suspect that this tiny extra bay is actu- ally the extremely shrunken main bay.) The west side of the parent fractal has the expected Mandelbrot buds along its shore. Today's scene is located near the tip of a filament extending from one of these buds. The shape of the parent fractal is symmetrical with respect to the X-axis, though the bands of the outside=imag coloring feature are not. Therefore, changing the sign of the Y coordi- nate while keeping the absolute value unchanged brings an entirely different color scheme to the mirrored same scene. The name "Tardy Technicality" has little meaning. And why must a name have meaning or even make sense. (Remember the song 'Stairway to Heaven'.) The rating of 7-1/2 indicates that the image is good but not exceptional. One half of the rating is a reward for the effort I put into the coloring. The calculation time of 7 minutes is slightly slow, but nothing that will cause civilization to grind to a halt. And even the small effort of running the included parameter file may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The partly cloudy skies were compromised by an unusually chilly temperature of 57F 14C here at Fractal Central on Monday. The fractal cats made themselves comfortable by the heat, which came on again for an hour. My day was quite busy, but concluded successfully. The next FOTD will be posted in 24 hours, with or without the approval of the cats. Until then, take care, and be careful of what you think. Your thoughts are being monitored for illegal traces of hate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Tardy_Technicality { ; time=0:07:01.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-0.8127135141137847/+0.8410592011071745\ /4.98609e+010/1/-167/0 params=1/2 float=y maxiter=15000 inside=0 outside=imag periodicity=10 mathtolerance=0.05/1 colors=000mzzIIzMGzPEzTCzXAz_8zc6zg4zj2zn0zr0zu0zK\ 2dK0cK0cK0cK0cK0cK0cK0cQ2eWBfaLggUhmciwrntolrljpih\ nfflddjabgZaeW_cTYaRW_OUYLSWIQTFPRDNPALN7JL4HJ1FC0\ EE0EF0EG1EH3EJ1EL3EN5EP7ESAEUCEWFEYHEZHC_JE`LG`OIb\ QKbQMdTOeVQfXSg_Uh`WibYle_phavndysiztjzzpzzzzwqzzn\ zslwrhrr`nnZjnXfmUbjT_jSXjRVjQUjOTjNRiMQiLPiKNiIMi\ HLiGJiFIiEHiDGgGGfJGeMGdOGcRGbUGaWG`ZG_aGYcGXfGWiG\ VkGUnGTqGSsGRvGQyGPzGPzHQzIRzISzJTzKUyKVyLVyLWyMXy\ NYxNZxO_xP_xP`wQawQbwRcwSdwSevTevUfvUgvVhuViuWjuXj\ uXkuYltZmtZnt_ot_otYluXiuVguUdvTbvR_vQYwOVwNTwMQxK\ OxJLxJNzILzIKyIJxIIxHHwHGvHFuHEuGDtGCsGBr6EpACqDBr\ GArK9sN8tQ7tU6uX5v_3vb2wf1xi0xl0yp0zs0zv0zw0zx0zy0\ zy0xz0uz0rz0oz0lz1iz2fz3cz4`z5Yz6Vz7Tz6Uz6Uz6Uy6Ux\ 6Uw6Uu6Ut6Us6Ur6Up6Uo6Un6Ul6Uk6Uj6Ui6Ug6Uf6Ue6Uc6U\ b6Ua6U`6U_8TZASYCRYDQXFPWHOAXiAWjBVlBUmBToBSpCRrCQ\ sCQuDPvDOxDNyEMzELzEKzANz } 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 18-05-09 (Gear Train [6.5])
by Jim Muth 18 May '09

18 May '09

FOTD -- May 18, 2009 (Rating 6.5) Fractal visionaries and enthusiasts: Today's over-magnified image lies in the nascent Seahorse Valley of a parent fractal that is rapidly morphing from the Z^9 Mandeloid to the Z^2 Mandelbrot set. The image actually lies in a little offshore debris. I named the image "Gear Train". One glance will show why. Then I rated it at a mediocre 6-1/2, one-half point of which is due to the coloring. Another glance will show why. Most of the image's effect is a result of rendering it with the outside set to 'tdis' and the inside set to 'fmod', with a proximity of 0.6902. The calculation time of just under 3 minutes will pass in the blink of an eye, or more likely in a couple thousand blinks of an eye. The best way to avoid tired eyelids is to hurry to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and gaze in unblinking delight at the finished image posted there. The partly cloudy skies let through just enough sun here at Fractal Central on Sunday to keep the fractal cats happy. The temperature of 61F 16C was a bit chilly for the middle of May, but warmer times are coming. The next FOTD is also coming. It will be posted in its full glory in 24 hours, give or take a few. Until then, take care, and when will we shed some light on dark matter? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Gear_Train { ; time=0:02:54.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=t center-mag=-2.822641591053055/-0.03235449428571077\ /8.942979e+012/1/24.9/0 params=9/4 float=y maxiter=1500 inside=fmod proximity=0.6902 logmap=68 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000WrzRjkSkjTkjVliWliXlhYmh_mg`nganfbnfdoee\ oefpdgpdipcjqckqbmvdlqblmaki_kdZj`YjXWiSViOThKShFR\ gBPg7Og3Ne4Ld5Kc5Jb6I`6H_7FZ7EY8DW8CV9BU9ATA8RA7QB\ 6PB5OC4MA2NC3ND4NE5OF6OG7OH8OI9PJAPKAPLBPMCQNDQOEQ\ PFQQGRSHRTIRUISVJSWKSXLSYMTZNT_OT`PTaQUbQUcRUdSUeT\ VgUVhVViWWjXWkYWlYWmZXn_Xo`XpaXqbYrcYsdYte_yfYueXr\ dWncVkcUgbTdaS`aRY`QU_PR_QQ`QQ`QP`RP`RO`RO`SN`SN`S\ M`TMaTMaTLaULaUKaUKaVJaVJa0IaWIb0IbWHb0HbXGb0GbXFb\ 0FbYEb0EbZEc0DcZDc0Cc_Cc0Bc`Bc0Ac`Ac0Ada9d09db8d08\ db7d07dc6d06dd5e06dc6c07cb7b08aa8a09``9_`A_`AZ_BY_\ BYZCXZCWZDWYDVYEUYEUXFTXFSWGSWGRWHQVHQVIPUIOUJOUJN\ TKMTKMTLLSLKSMKRMJRNIRNIQOHQOGPPGPQFPSEUQEOVDaQ8OV\ BcRDhTFNUHmWJMXLrZNL`PvbRIdUkcTvcSMmRzbQOpPzaOQsNz\ aMTwLz`KVwJz_IXsHzZGZpFzZEamDzYCcYBzXAeX9zX8gW7zW6\ iW5zSBhPHzMNhITzFZhCdz8jh5ph2uU4cg6cU8cfAcUCcfEcUG\ ceIvUKceMcUNcKhnMimNilOjl } 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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