August 2010 - Fractint - mailman.xmission.com

Bright and Flowery...
by Roger Alexander 05 Aug '10

05 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 05 Aug '10

05 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 04 Aug '10

04 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 04 Aug '10

04 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=========================================

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The Fractal Pizza
by Roger Alexander 02 Aug '10

02 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 01 Aug '10

01 Aug '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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