May 2005 - Fractint - mailman.xmission.com

FOTD 17-05-05 (Miracle [9])
by Jim Muth 17 May '05

17 May '05

FOTD -- May 17, 2005 (Rating 9) Fractal visionaries and enthusiasts: In the past I have several times been asked if I believe in miracles. The answer depends on the definition of the word 'miracle'. If a miracle is seen as a violation of natural laws brought about by the intervention of a supernatural deity, then I do not believe in miracles. True, many things take place that defy natural explanation, but these events are merely things that are not yet understood. They ultimately will be explained and then be seen to fit into the natural scheme of things, which will expand to include them. If a miracle is taken to be an event so unlikely as to be almost impossible, then yes, I do believe in miracles. People who desperately need money sometimes do win lotteries. A miracle of the latter variety appears in today's image. On the surface, the parent fractal of today's image is a Mandel- brot set. But the exponent of Z is 2.000001 instead of 2, which means it is not exactly a Mandelbrot set, but merely a very close approximation. One must search deep to find the tiny differences, but when they are found, they are so unexpected as to be a virtual miracle. Today's image lies deep in East Valley of the large midget on the main stem of the almost-M-set. It is so unlike anything in the true M-set that it must be considered a miracle, which is why I named it "The Miracle". The rating of a 9 may in fact be a bit conservative, but I am very hesitant about giving today's fractal a rating of 10, especially when I have not yet taken today's line of investigation to its limit, and do not yet know what I might find when I do. I could have used the manzpower formula to draw today's image, but that formula takes 12-1/2 minutes to finish the rendering. The MandelbrotN formula finishes in only 9 minutes, so this is the formula I used. Of course, rendering may be totally avoided by downloading the finished image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats were happy on Monday when the sun shone and the temperature reached 72F 22C. This morning is starting cooler with a mixture of sun and clouds. Hopefully, the duo will be happy again. I'll be happy when the work is behind me. Until next FOTD, take care, and where will we go from here. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Miracle { ; time=0:09:05.32--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74985154197874100/+0.000004742589482\ 00/1.061936e+008/1/-162.5/-4.55138188755477291e-007 params=2.000001/0/0/0/0/0 float=y 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:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 16-05-05 (Galaxial [6])
by Jim Muth 16 May '05

16 May '05

FOTD -- May 16, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image continues the adventures of our 'almost' Mandel- brot set, in which the exponent of Z is 2.0001 rather than 2. This time we have rotated the set until the large southern filament intersects the negative X-axis. As expected, the filament breaks up near the point of intersection, and the midgets on the filament do strange things. The discontinuities in today's scene are so slight as to be almost invisible, but the large, totally chaotic area around the midget is something unexpected on the southern filament of the M-set, where ever more finely divided but sharply defined filaments are the rule. I named the image "Galaxial". The word simply came to mind as I stared blankly at the image. (I do a lot of blank staring.) The rating of a 6 is a bit above average, and the render time of 20 minutes is a bit above average also. The download from the FOTD web site is as convenient as always, though it does require going online at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather threatened on Sunday here at Fractal Central, but the rain never fell and the temperature rose to 75F 24C. The cats took full advantage of the situation by spending most of the afternoon tucked safely away in the holly patch. After heavy rain during the night, the morning is starting cooler but with full sun. The cats will likely find the day acceptable. My day will feature some work and a few fractals. Until next FOTD, take care, and watch your excess iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Galaxial { ; time=0:20:38.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.04146049900585600/-0.000000303888590\ 44/8.407404e+010 params=2.00001/0/142200/0 float=y maxiter=4200 inside=0 logmap=547 periodicity=10 colors=000D_6E_8F_9G_AH_CI_DJ_FK`GNaHQbGTcGWdGZfFa\ gFdhFgjEjkGmlIpmKsnMuoOwpQxqSyrUwsVutWsuXovYkwZiu_\ gs`cpa_mbWjcSgdOceK_fGWgCSh8Oi6Me2Ka3IY3GU4FQ5HM6J\ K6LK7NK8PK9RK9SKFTKLUSRUdTSaVR_WPXYOVZMS`LQaJNcILd\ GIfFGmDDwCBoB9bECWHFPKIHNLAQO3SQ9PUENXKK`PIcUFf_Dj\ dAmj8qo5tt3wd5sQ7oB8kC4kYHTrTAgdEYoIaoNeoSfSqkMrpG\ stBtpIhlOYhVMd`B`f0QZIGR_6Kp4Ls3Lu2Lw1Ly2Ns3Pm3Rh4\ Tb5VX5XS6ZM6_H7aH7bH7cH7dH7eH7fH7gH7hHAfLDePGcTJbX\ Ma_KVUJPOIJJHQIHWIGbHGhHWiEkiBghFcgJ_fMWfQSeUOdXKc\ `Gccbdnyextcvpbulash_rdZp`Yo_blZgiYlfYqdXkdXedW_dW\ UdVOdVIdUCdU7d`AffChlEjrGlzzhzzKbzdmzlxzsbz__zTXzM\ VQGXOKZNN`LQaKTcIXeH_gFbhEefJZeOSdSMcXFb`9moyggsa`\ mWThQMbKEXF7SK5aO4jPEfPNcPW`PdXPmUPvRTVVW4Yudntgis\ ierlarnYqpUpsQouMowIjqNekRaeWX`_SVdOPhJJmFEqDKnBQk\ AWi8af7gd5ma4r_8hcCZfGPjJFmMJnONoRRoTVpVZpX`hYaaZb\ U_dN`eFaf8bg1`dBZbLe`3b`5 } 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 15-05-05 (Alternate Reality [6])
by Jim Muth 15 May '05

15 May '05

FOTD -- May 15, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD we continue rotating a near-Mandelbrot set to see what happens when its various parts cross the big split on the negative real axis. We have gone only 7500 levels up the spiral, to a point where the big split intersects the south branch of Seahorse Valley. What we have found there is a midget with the typical Seahorse Valley features, but with those features broken and re-arranged. I have named the image "Alternate Reality". Alternate realities are currently quite fashionable among the popular-scientific set, and I might as well go along with the trend of the times. And who knows? There really might be an infinity of myselves in nearby but invisible universes, becoming world famous by finding the greatest fractals of all time and showing how the fractals are the solution to the search for the theory of *almost* every- thing. Maybe an infinity of myselves have actually managed to include self-awareness in the theory and solved a theory of *actually* everything. What I keep wondering is, are these alternate-reality fractal geniuses really me or merely others who just happen to look like me? Today's image will solve no theories of anything, but it managed to earn a rating of 6. The render time of 1/2-hour is a bit too high a price to pay for such an image, so I advise downloading the finished product from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 83F 28C, and with full sun, Saturday turned out to be unexpectedly pleasant here at Fractal Central. The two Fractal Central cats made the most of things by spending the entire afternoon in the yard. The weather grew threatening in the evening, when thunder started rumbling, but by the time the rain arrived, the cats were safely inside. Today is start- ing much the same, with showers again forecast. The next FOTD will appear in 24 hours. Until then, take care, and if your fractal seems corny, shuck it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alternate_Reality { ; time=0:30:27.54--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.75104206020983430/+0.000000728984679\ 96/7.145716e+008/1/-72.5/1.56923412979181887e-006 params=2.00001/0/7500/0 float=y maxiter=6000 inside=0 logmap=668 periodicity=10 colors=000qIRpIPpJMoJJoJHnKEnKBnK9jMEgNIdPMaQQZSUW\ TYTUbQWfNXkKZoH_tE`xFbzGdzHfzHfzJczK_zLWzMRzNLzMKx\ MKuLJrLJpKJnKIkJIiJHfIHdIHbKIaMJaNKaPLaRMaSMaUNaVO\ aXPaZQa_QaaRacSadTafUagUaeS`dR_cQ_bPZaOY`MY_LXYKWX\ JWWIVVGUUFUTETSDSRCSUGUXJV_MXbPYeSZhV`kYan`cqcdtee\ qefndfkdghcgfchcbh`biYaiWaiYckZel_gm`ioakpbmqcosdq\ tesufuwgwxhyyizzhtvgnrfinfckeYgdTccN_cIXZTZUb`Plad\ kMsj7oiEkiKhhQdhX`gbYgh_bg`ZfaUfbQedMdeHdfDcg9ciH_\ kPXlXUndQplNqoKopMnqOmoPknRjlTikUghWffYedZcaYaYX_V\ WYSVWQUUPUSMTQHSOCRMAQLAQKASEANBAK8AMHCXHGYGK_FO`F\ SaEWcDadKgeUmfcqgmzhUihKaiC_jCZkCYmBXlBWmBUnBTnBSo\ BAZBQqBPqTQniQlfPkcOk`NkYMkVLkSKjPJjMIjJHjGGjEGjFF\ lGFmHGnIGpKGqMHrOHtQHuSIvUIwWKuYLs_MqaNocOmePlgQji\ RhkSfmTdoUcqX`s_YubVweSxhQzkAzjDziGzhIzgLzgOzhQziT\ yjVykYxl`wmbvnevogupetqcsrars_ptWquXqvYrzZrx_cyYez\ YgzZizZmzXlzYkzZrzZrzXqzU } 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 12-05-05 (Sandy Masks [6])
by Vortex Swirling 14 May '05

14 May '05

>Heavens, if the speed of light can >change, what will be next -- the shape of the Mandelbrot set!? 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. This is an interesting idea. I hadn't thought of it changing shape over time, but I've often wondered if in other universes the Mandelbrot set might look different than it does here. 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. -- 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 14-05-05 (Pseudo-Bailout [5])
by Jim Muth 14 May '05

14 May '05

FOTD -- May 14, 2005 (Rating 5) Fractal visionaries and enthusiasts: Yesterday's FOTD took us 100,000 levels up the complex-log hyper- spiral of the Z^2.00001+C Mandeloid. Today's image takes us 940,000 levels up the spiral, to a level where the M-set is rotated 180 degrees, and East Valley lies on the negative real axis, which is where the tiny discontinuities are concentrated. Today's image is a scene in East Valley, very close to the nega- tive real axis where the major split occurs. It consists of typical East Valley stuff, but the stuff is broken and arranged in unfamiliar ways. I named the image "Pseudo-Bailout" because it gives the impression that it lies very close to the escape radius, which in this case is 100. All things considered, the rating of an average 5 seems appropri- ate. The render time of 6-1/2 minutes can be shortened by down- loading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds won the battle with the sun here at Fractal Central on Friday. As a result, the high temperature was held to 61F 16C. This was good enough for the dynamic duo however, and they spent several hours lurking in the holly thicket. Their day ended with tuna. Today is starting partly cloudy with showers and warmer temperatures forecast. Things look marginal for the duo. For me, things look settled. For the fractals, things look infinite. The next FOTD will appear in 24 hours. Until then, take some care, and if life serves a cheeseburger, hold the onions. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pseudo-Bailout { ; time=0:06:32.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.27532277851590110/-0.000000442416795\ 04/1.680416e+007/1/132.50000002129633/-2.537899397\ 58108929e-008 params=2.00001/0/940000/0 float=y maxiter=2000 inside=0 logmap=125 periodicity=10 colors=000PSFQUFRWFSZET`EUbEVdEWfEXiDYkDZmD_oD`qDa\ sDapDamDakDahDaeDacDa`DaZDaWDaTDaRDaODaLDaJDaGDaED\ bHGcJIdMLeONfRQgTShWViZXi`Zjbakeclgfmihnlkonmpqpqs\ rqutrvprvmrvjrwgrwdrwaswZsxWsxTsxQsyNsyKtyHtyEtzBt\ z8tz5tz2rv5qs8ppBomEnjHmgJldMkaPjZSiWVhTYgQ_fNbeKe\ dHhcEkbBna8p2JX3KY3KZ4K_4K`5Ka5Kb5Kc6Kc6Kd7Ke7Kf7K\ g8Lh8Li9Lj9LjALkALlALmBLnBLoCLpCLqAMsCLqEKpGJoIJnK\ IlMHkNGjPGiRFgTEfVDeXDdZCb_BaaA`cA_e9Yg8Xi7Wm4Sj7V\ h9YfC`dEbbGe_JhYLkWNmUQpSSsQUuNZtLctIhsGlsFjnEijDh\ eCfaBeXAdT9bO8aK2bC7`GB_JFYMJXQNVTRUWVTZZRbbQefOhj\ NlnLorLrxMwvNutOtrPsqQroRqmSokTnjUmhVlfWkdXicYhaZg\ __fY`eXacVbbTcaRd`PeaQf_RgZRhYSiXSjVTkUUlTUmSVnRVo\ PWpOWqNXrMYsLYtJZuIZvH_zG_xFXyGVzGTzHRzHOzHMzIKzII\ zIGzJDzJBzJ9zK7zK5zK6zO7zR8zV9zYAzaBzdCzhDzkEzoFzr\ EzwFzuFzsFzrFzpFznFzmFzkFziFzhFzfFzdFzcFzaFz_FzZFz\ XFzVFzUFzSFzQFzPFzNNzFOzF } 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 13-05-05 (Near a Mandelbrot [5])
by Jim Muth 13 May '05

13 May '05

FOTD -- May 13, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today is Friday the 13th, an event that happens once or twice every year. It is supposed to be a bad luck day, though I doubt that is any unluckier than any other day of the year. Nothing unusually bad has ever happened to me on a Friday the 13th, so I consider the bad luck thing to be an unfounded superstition, most likely originating long ago, when the decree that ordered the elimination of the Knights Templar was passed on a Friday the 13th. My view would seem to be confirmed by today's image, which is notably un-notable. Today's image is a scene in a fractal that is almost a Mandelbrot set. What keeps it from being a Mandelbrot set is the exponent of Z in the iterated formula, which is 2.00001. This is a very tiny difference, but to make a big deal of a minor event I examined the fractal 100,000 levels up the complex log hyperspiral, at a level where it has rotated approximately 70 degrees. At this level the negative real axis cuts through what is normally the S.S.W. shoreline of the M-set. At this lofty level, the parent fractal still resembles a classic Mandelbrot set, and the inner detail is basically unchanged. The one difference is along the negative real axis, where a tiny discontinuity exists. This break is so small that it does not become visible until the magnitude reaches 500000, but the break still does strange things to the inner detail of the area. The name "Near a Mandelbrot" refers to the exponent of Z, which makes the parent fractal nearly but not quite a perfect Mandelbrot set. The rating of 5 means that I am not unusually impressed by the image. The render time of almost 17 minutes is slow, making a download of the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> a wise choice. The clouds cleared unexpectedly on Thursday afternoon, giving the fractal cats an unexpected great afternoon in the holly thicket. For 15-year-old cats, a great afternoon means a peaceful uneventful afternoon, and peaceful it was. When they returned indoors in the evening, a small tuna treat closed their day with a whimper. Today is starting with sun and clouds. It remains to be seen which will prevail. For me the work is rather light, which will give extra time for fractals. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you an apple, make it a napple. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Near_a_Mandelbrot { ; time=0:16:54.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.70976131907690630/+0.000002313855428\ 97/3.870999e+007/1/42.5000007756963427/-1.18881678\ 390359014e-007 params=2.00001/0/100000/0 float=y maxiter=4000 inside=0 logmap=395 periodicity=10 colors=000aPTaOUbOVcOWcNXdNYdMZeM_eL`fLafLagK_gKZg\ KYgKXgJWgJVgJUgJTgJSgIRgIQgIPgIOgINgHMgHLgHKgHJgHI\ gGHgGGgGFgGEgGDgFCgFBgFAgF9eC9gF8hH8iK8kM7lO7mR7oT\ 7pW6qY6s_6tb6ud5wg5xi5zj3yk5yk7yl8ylAylBymDxmExmGx\ nHxnJxnKxoMwoNwpPwpQwpSwqTwqVvqWvrYvrZvr`vsavscvsd\ tqcrobpmbnkaliajg`hf`fd_db_b`Z`ZYZXYXVXVUXTSWRQWPO\ VNMVLKUHIZKJUMKPOLLRLGTMCVN7XN3DWh`YWw_JvYOvWTvVXv\ TauSeuQjuPnuNsuMwtNusOtsPsrQqrRpqSoqTnpUlpVkoWjoXh\ nYgnZfm_em`clabkbakc_jdZjeYifXigVhhUhiTgjRgkQflPfm\ OenMeoLdpKisFdpJ_mNWjRRgVNdZIabEZf9bj4fo5gn5fn5dm5\ em6el6dl6ak6fk7cj7Sj7Si7Si8Rh8Rh8Rg8tg9zf9zf9Qe4Od\ 7Pe9QeBQfDRfGRfISgKTgMThPUhRUhTViVViXWi_XjaXjcYkeY\ khZkjZll_ln`mq`msamuanwbnybnx`oxZoxXpxVpxTpxRqxPqx\ NrxLryLsxKrxJrxJrxIrwHqwHqwGqwGqwFqvEpvEpvDpvCpuCo\ uBouBouAou9ot9nt8nt7nt7ns6ms6ms5ms4ms4mr3lr2lr2lr1\ ls0mt0mu0mv0mw0mx0my0mz0m } 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 12-05-05 (Sandy Masks [6])
by Jim Muth 12 May '05

12 May '05

FOTD -- May 12, 2005 (Rating 6) Fractal visionaries and enthusiasts: In this ever-changing world, only a few things remain constant -- things such as the velocity of light and the mass of the electron. Or do they? I have just received the June issue of 'Scientific American' magazine, and in it I see an article that examines the possibility that these constants have changed over the life of the universe. Heavens, if the speed of light can change, what will be next -- the shape of the Mandelbrot set!? Today's formula is not new, but I have included it in my working 'allinone' formula file for the first time. It works exactly the same as yesterday's formula, except that it calculates (-Z) rather than Z. To produce today's image, I set the exponent of Z to 1.5 and examined the resulting Mandeloid for a point that might have an interesting Julia set associated with it. The result is today's image, which reminds me of discarded masks lying scattered on a sandy beach. I named it "Sandy Masks". I have no idea what kind of wild party might have been in progress on the beach the night before, but it must have been interesting. The image itself is . . . not bad. It rates a 6. The render time of (virtually) exactly 4 minutes is not bad also. The ease with which the completed GIF image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is once again not bad. Another near perfect day, with lots of sun and a temperature of 81F 27C, pleased the dynamic duo here at Fractal Central on Wednesday. Today is starting cloudy and cooler. It is not too bad a day, but still not up to yesterday. The cats will have to make a judgement. For me it's a matter of doing the things that need to be done, and then pondering the mysteries of the uni- verse. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you a peach, ignore the pit. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sandy_Masks { ; time=0:04:00.01--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JulibrotInvZ passes=1 center-mag=-0.0578953/0.074155/5.143809/1/-95/8.94\ 423424213641738e-014 params=1.5/0/0.5/0.703027/0/0 float=y maxiter=2500 inside=0 outside=real logmap=yes periodicity=10 sound=off colors=000GfmHdkIbjK`iLZhMXfNVeOTdPScSVdUYdW_eYbe`\ dfbgfdigflgkpjhngflddjabh_`fXZdUXbRU`PSZMQXJOVGMTE\ KRBIP8GO6MP9SQCYREbRHhSKnTMtUPyURvXUt_Xra_odbmfeki\ hhlkfnndqqbstip1jn2jm2kk2kj2kh2lg3le3ld3mb3ma3n_4n\ Z4nX4oW4oU45xLoT4qV6rW7sX8tY9uZAv`CwaDxbEycFzdGqgI\ hiK`kMSmOKoQBqS4yW3sT3mQ3hN3bK3YH2SE2NB2H82C526221\ 054476798BBAEDCHFELIHOKJSMLVONYQPaSRdZOhUTgPXfK`eG\ ddBhc6lb2pau0iu1gu1fu2du2cu2bu3`u3_vgzu3Zt2Ys2Xr2X\ q2Wp1Wp1Vo1Un1Um0Tl0Tk0Sk0Sm5Un9VoDWpIXrMYsQZtV_uZ\ `wbaxgbykczodxl`wjXvgTuePtcMs`IrZEqWApU6oS3nR5nR7n\ R8nQAnQCnQDnPFmPHmPImOKmOMmONmNPmNRySUmNSaIRQDPE8O\ 23N95LF7KL9JRBIXDHbFGhHFnJEtLDzNCtKDnHDhFDbCDXADR7\ DK1AL5DM9GMDJNHMOLPSSTOOSLKRIHQEDPBAO86N53M4BO3IQ2\ QS1XU9VYHT`PSdWQgcOkkNnsLrzKuwMstNrqOqnPpkQohSneTm\ bUk_VjXWiUYhRZgO_fL`e6puJadVOOfA8tuHrpLqlOpgRncUmZ\ XlV_jQbiMehHhjEogDkEjoFhn } frm:JulibrotInvZ {; Jim Muth ; Draws oblique slices of order n inverse Julibrot Figure ; P1 defines power of Z, P2 determines center of slice ; P3 determines angle of slice z=pixel, c=p2+(pixel*p3): z=(-z)^p1+c, |z| < 100 } END PARAMETER FILE=========================================

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FOTD 11-05-05 (Square Spiral [7])
by Jim Muth 11 May '05

11 May '05

FOTD -- May 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today we break out a brand new formula, which draws previously unavailable slices of 4-dimensional Julibrot figures. In today's image I have visited the strange Julia rectangle located near the East Valley of the large midget on the infinitely-divided main stem of the Z^2.003+C Mandeloid. The image is not sliced exactly in the Julia direction, but within a degree or so of it. At this angle, the rectangle is filled with curious square spirals, one of which is proudly displayed in today's fractal, which I have named "Square Spiral". The rating of a 7 refers to the unusual nature of square spirals. At just under 3 minutes, the image is merci- fully fast, but downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> could be even faster. Another perfect day graced Fractal Central on Tuesday. The blue sky and temperature of 73F 23C were just what the cats needed to make their day near perfect. Today is starting much the same. The cats will be happy. For me a small pile of work waits to be tackled, but it is nothing that I cannot put behind me in a few hours. The next FOTD will appear in 24 hours. Until then, take care, and if life hands you an artichoke, don't lose heart. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Spiral { ; time=0:02:54.13--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JulibrotZ passes=1 center-mag=-0.00154935845008699/+0.075340678877674\ 77/5666.728/1/-90/3.88578058618804789e-016 params=2.003/0/-1.7434/0/0.003/0.001 float=y maxiter=3500 inside=0 logmap=91 periodicity=10 colors=000zRS9`cQ_fccil`lz`qzalzcizcezd_zdTzcNzdHz\ dBzb5z_HxWSuSYpPfm5jf5g`6aU7XO8QI8JC9D7771945C68D8\ 9G8CIAELCGMCJPEKQENTGPVHRYIT_JW`LYcL_dNbgNciPflRhm\ RjpTmrUouUqvWsxWz`mz6zz8zzBzzDyxGxuJvrMuoPsmQrjSoh\ VmfYld`jcci_cgXcfUcdSfcPibMlaKo`Hr`EuYCxY9yXAvZAs_\ 9p`BoaAlaAicBgdBdfBbgCaiA_jAZlAWlAVmAUmBSo9Rp9Pp9N\ r9LrAKsAIs8Hu9Ev9Dv9Cx99x99y76z65z64z61z60z60z90yC\ 0vE0rH0oJ1lL1gN2dP3`R3YT4VX6R_6Pa8Md9KgAIfDKfGLfJM\ fMOfPPfRQdTRdWTdXTd_UdaWdcWddXegZejZgm`hpbhsbivdix\ ehuehsggrgephdohamh`jhZihXhiWgjVflUelScmRboQapP`rN\ _sMYuLWvJVxIUyGSzFRzFQzITuKXoKZgM`aOdZSiVUmRUrKWvE\ Yy9ZxCZvEZuIZsK_sM_rP_pR`oUamXamYbl`cjccidciecgedf\ fdgidglehmegpegsfgvfgxgdrgalg_giZdlYaoWYrUUuSPxQLz\ PFzNAyMCvKCsJBrHBoHBlGCiECgCBdCBaAA`9AY7BV5AS5AQ49\ O29L09I09G09D08A08907E5PKGfPPxjjjzzUpzLezCVz4Wz_Tz\ xNp`MvYLzYKzXJzXzURzUSzST } frm:JulibrotZ {; Jim Muth ; Draws oblique slices of order n Julibrot Figure ; P1 defines power of Z, P2 determines center of slice ; P3 determines angle of slice z=pixel, c=p2+(pixel*p3): z=z^p1+c, |z| < 100 } END PARAMETER FILE=========================================

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FOTD 10-05-05 (Grandson of Scene [4])
by Jim Muth 10 May '05

10 May '05

FOTD -- May 10, 2005 (Rating 4) Fractal visionaries and enthusiasts: Has the FOTD 'jumped the shark'? Jumping the shark refers to the outstanding event in a great series that marks the start of the decline in quality that leads inevitably to the end of the series. The past few weeks have hardly seen great FOTD's. The images have been ho-hum. The discussions have been terse and have merely repeated what everyone already knows. The philoso- phy is still brewing, but seems stuck in some grey nether land. There has been no outstanding event, but I must keep careful watch over this trend. Today's image is a close-up of the midget that appeared at the center of yesterday's 'Son of Scene' image. What name could be more appropriate than "Grandson of Scene"? Three consecutive visits to the same point in the world of fractals really is a bit too much. I could therefore rate the image no higher than a lowly 4. To make matters worse, the render time of 55 minutes is well into the slow range. With its broken arcs, diffuse shorelines, and small crooked buds, the midget is about what would be expected in a fractal of order 1.5. The magnitude of almost 6x10^11 is high enough that I included the mathtolerance entry in the parameter file to be certain that the image renders at the correct size. The best way to avoid rendering problems is to download the pre- rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday's weather was the best so far this spring here at Fractal Central. Absolutely clear skies, gentle winds, and a tempera- ture of 77F 25C were just what the fractal cats were waiting for. The 9 hours they spent in the yard set a new record for time outdoors in a single day. Today is starting with more blue skies and warmer temperatures, it looks to be another great cat day. For me it looks like just another workday. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you a watermelon, spit out the seeds. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Grandson_of_Scene { ; time=0:55:33.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-1.25338697940232200/+0.346669700387809\ 50/5.822357e+011/1/-17.5/-0.000441531350640803066 params=1.5/0/1/0 float=y maxiter=25000 inside=0 logmap=1048 periodicity=10 mathtolerance=/1 colors=000cPtbPsaPr`Pq_PpZPoYPnXPmXPlXPkVPjUPgTPdS\ PbRP_QPXPPUOPSNPPMPMLPJKPHJPEIPBHP8GP6xSHsUJnVKjWM\ eXNaYOX_QT`ROaSKbUFcVBdWFfXJgYMiZQj_Tk`Xma_nacpbfq\ cjrdmtequftvfmogfih`ciUYiNRjHLkAFl49l6Bi8DgAFdBHbD\ J`FKYGMWIOUKQRLSPNTMPVKQXISZFU`DVaBR_EOZGKYIHWKDVM\ AUOEKJIAFL0BH2ME3XA4g75qD4oJ4nP4mV3k`3jf3il2gr2fx2\ eU6M0A398GH6TP5eV7k`8qcEpfKoiQolWnn`nqfmtlmwrlywlY\ kaSceMWiHOmBGq69uAEpEIkIMfMQbQUYUYTYbOafKejFinAmr5\ pv1nr2lo2jk2hh3fd3da3bY4`V4ZR4XO5VK5TH5RD6PA6N66L3\ 6QADVHJZNPcUWh`alfgqmnvttzzzqzzhzzkzzczzWzzOzzGzz9\ DABFEDHHFJKHLNJNQLPTNRWPTZRVaTXdVZgX`jZbm`dpbes`go\ _hlYiiXkfVlbUm_SoXUpUZqQcsNhtKmuHqwDtxAwy7zz4zw3zu\ 3zs5zqAzoFzmKzkPziUygZxecwchvamu_rtYvsOztFzpMzlTzh\ Zzdez`lzYrz`pzbozenzgmzjlzlkzojzqizthzvgzsfzpfznfz\ keziezfezddzadzZdzXczUczSczPbzNbzKbzIbzLazO`zR`zU_\ zWZzZZzaYzdYzfXziWzlWzoVz } 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 09-05-05 (Son of Scene [7])
by Jim Muth 09 May '05

09 May '05

FOTD -- May 09, 2005 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's FOTD discussion I mentioned that I had not yet glimpsed the midget that lies at the center of the frame. In today's FOTD image we remedy that shortcoming. In today's image I used the same color palette with only a few minor changes, so today's image closely resembles yesterday's, though the pattern this close to the midget itself is far more broken. Today's image might be considered better than yesterday's, but it is also a near-repeat. Considering both these things, I rated it at a 7, which is the same as the rating of yesterday's FOTD. Remembering those great old 1950's horror movies, I named the image "Son of Scene". Since today's scene is far deeper than yesterday's, the render time is over twice as long. But as always, relief is at hand in the form of the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image will soon be posted. In tomorrow's FOTD, I might zoom in even farther and fill the frame with the midget. We'll see how it goes. The weather was near perfect here at Fractal Central on Mother's Day Sunday. Only a brisk wind kept it from being absolutely perfect. The high temperature of 75F 24C and cloudless skies lured the cats into the farthest reaches of the yard, but the constant blowing of the wind kept them from venturing into regions unknown. Today promises to be equally perfect, with far less wind. We will see what the duo makes of it. For me, the work is moderate and the fractals are unending. Until next FOTD, take care, and be at one with whatever you choose to be at one with. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Son_of_Scene { ; time=0:22:08.76--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.25338697940287400/+0.346669700387608\ 00/6.801715e+010/1/-17.5/-0.000864541449251347849 params=1.5/0/1/0 float=y maxiter=4500 inside=0 logmap=655 periodicity=10 colors=0009DABFEDHHFJKHLNJNQLPTNRWPTZRVaTXdVZgX`jZ\ bm`dpbes`go_hlYiiXkfVlbUm_SoXUpUZqQcsNhtKmuHqwDtxA\ wy7zz4zw3zu3zs3zq3zo3zm3zk3zi2yg2xe2wc2va2u_2tY2sO\ KtFapMelThhZkden`lqYrt`ppbomenjgmgjldlk`ojYqiVthSv\ gPsfQpfQnfRkeRieSfeSddTadTZdUXcUUcVScVPbWNbWKbXIbX\ LaWO`VR`UU_TWZSZZRaYQdYPfXOiWNlWMoVLqVLk`HffEalBXr\ 8Sx5Us6Vo6Xj7Yf7Zb7`Y8aU8bQ8gOHkMQpKZtIgxHorRtl_xf\ Wp`SiWPaQLVKHNFEG9A8471`aNVZJQVGLcDMh9Po6Ut3awK_rH\ VjFQbCLVAFM7AE5572867645434322111hAso_bbRTQIJD99uW\ _kQUaLOTGIJAC956sAGk8Dc7BW59O46G24812Qsj4Pw3Ih2CU1\ 6F7qQ5hL4_H3RD2I8194Yp2Sg1MZ1HQ1BH0580e9jX7`P5SG3I\ 819eVCLF6Fp_AZO5HC2ic1YU1NK0BAi43U22F11fsE`lCWeAQZ\ 8LS7GL5AE3571sVUEVxeIAVD7L95A42O8LfoZ`hUWbQQWLLUHG\ XDA_85b4Ne5IhADkF9nK4qPjtU`wZSzcIzh9zm`zrVzvQzzLzz\ FzzAzz5zzazzSzzJzz9zzPzzLzzHzzEzzAzz7zz3zzjzzVzzFz\ zzzzqzzhzzkzzczzWzzOzzGzz } 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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