August 2013 - Fractint - mailman.xmission.com

FOTD 16-08-13 (The Dark Side [A-7,M-7])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 16, 2013 (Rating A-7,M-7) START PARAMETER FILE======================================= The_Dark_Side { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+25.47676322683137/-2.610879700386511/\ 5.025245e+007/1/50/0 params=1/1.99/-1/2.01/0/3500\ /0/0 maxiter=2250 inside=0 logmap=344 periodicity=6 colors=000IOVGLSEIOCGLADI8AG68E45C22B01A0090080070\ 06005004003002001000eMI`JGWHESECNCAI98E76944422Wfn\ cdzKKVWRERNCMJAIF8DB69744326_856j45b34V23N12F017Bd\ TA`Q9YO8UL7RJ6NG5KE4HC3D92A7164032W0mS0hP0cM0ZJ0UG\ 0PC0K90F60A305zxFusDpnCkiBfeAa`9XW8TS6ON5JI4EE3992\ 441sc_m_WhWTcTQZPMULJPIGKEDFA9A765330Mc0K_0IX0GU0F\ R0DO0BL0AI08F06C059036013HHqFFkDDeBB_99U77O55I33C1\ 16obtQJSLwOHmKEcGAUC7K83A4p47g35Z24Q23H12801iNyNBV\ Hv_FqXElUDhRBcOA_M9VJ7RG6MD5IB3D829514243A22611345\ i34e34b34_23X23U23RgrrespctnaulZvkXwiVxgTyfyhHpmUg\ reZvqWetTQwQAzNLpLVfJdXzzzJkNKhNLeNMbNN_NOXNPUNQRN\ RONO25C1252`41Y41W41T31R31O31M21J20H20E10C10910700\ 4002g2zd1va1rZ1nX1jU1fR1bO1ZM1VJ0RG0ND0JB0F80B5072\ 039_O8XM7VK7SJ6QH6OG5LE4JC4GB3E93C8296174143021c4l\ Z3fV3aQ2WM2RH1LD1G80A4053fh2Uz2Uz2Uz1Uz1cz1cz1cz0h\ z0hz0mzUmzSrzQvzOzzMzzKzz } 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 15-08-13 (Forever Spinning [A-6,M-6])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 15, 2013 (Rating A-6,M-6) START PARAMETER FILE======================================= Forever_Spinning { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=+0.9845519352355383/+1.236523568822507\ /1.232872e+007/1/-117.5/0 params=1.618/0/4/0 maxiter=1500 inside=0 logmap=62 periodicity=6 colors=000bPS`MUZKWYHYWF_UCaSAcR8eTAfVBgWCgYDh_Eh`\ FibGicHjeIjgJkhKk00030040A649769979A98CA8DC7FD7GF7\ IG6JH6KI6MJ5NP5PQ4QR4SS4TT3VZ3W_2Y`2Za2`b1ac1b_1c`\ 1dW1eW1eW1kW1lW1mW1mX1nX1oX1oX1pX1qX1rX1rY1sY1oY1u\ b1ub1vb1wb1wc1xc1yc1zh1zh1zh1wh1wh1xcGxhUxmhxrvuot\ rmsokqlipignfemcck`ajZ_hWYgTWeQUdNSbKQaHO_EMZBKX9I\ W8HU8GS8GR8FP8FO8EM8DK8DJ8CH8CG7BF7BF7AE7AE6AD69D6\ 9C69C58B58B57A57A479469468E0E468357357346346245235\ 234234123123112112011001000fTsdRpbQnaPl_OjYNhXMfVL\ cTKaSI_QHYOGWNFULESJDPICNGBLEAJD8HB7F96C85A6484363\ 24112SlXOeSKZNGSICLE8E9474j__hYYgXXeWWdVVbUUaTT_SS\ ZURXUPWUOUUNTUMRcLQcKOcJNcIMcGKcFJcEHcDGcCEcBDcABc\ 9Ah78h67h55h44m32m21m1Px9Kz7Gz6Cz48z34z19zC8zB8zA7\ zA7z97z96z86z85z75z75z64z64z53z53z43z42z32z31z21z2\ 1z10z10z0XzDVzCUzCTzBSzBRzAQzAPz9Nz9Mz8Lz8Kz8Jz7Iz\ 7Hz6Fz6Ez5Dz5Cz4Bz4Az49z3 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 13-08-13 (Sublimity For All [A-8,M-7])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 13, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: With an artistic rating of an 8 and a math rating of a 7, today's image is quite an improvement over yesterday's. The name "Sublimity For All" might be an exaggeration, but it is what came to mind when I shut down my thinking processes. The actual scene lies in the wedge-shaped East Valley of the large minibrot on the fractalized main stem of the (-Z)^(2.003)+C Mandeloid. This is the exact area where the strange rectangle lies in the Julia sets of the (+Z)^(2.003)+(C) Mandeloid. The image has no rectangles in it, but it certainly does have lots of fractal goodies. As an additional bonus, the image calculates in 1-2/3 minutes, not the fastest image of all time, but still fast enough to take the drudgery from the calculation. Total calculation relief is available at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> where the finished image is or soon will be posted. The day here at Fractal Central began with rain, but the rain ended by 9am and the clouds broke by noon, leading to a mostly sunny afternoon with a temperature of 84F 29C. The remaining fractal cat Nicholas, (Nico for short), had a lazy day sleeping on the shelf behind the TV, a pleasant way for a cat to spend a day, but quite boring for humans who want action. The humans were also annoyed by a balky computer. The next FOTD will be posted ultimately. Until that uncertain time arrives, take care, and on a recent TV show about the quirks of the human brain, the word 'brain' was mentioned over two-hundred times, and the word 'mind', not even once. I suspect that a group of skeptical materialists was behind the show, spreading their belief that we are nothing more than the activity of the material of our brains. (The idea is scientific enough, but I would like to see a rational, step-by-step demonstration of the transition from activity in the material world of neurons to ideas in the immaterial world of conscious thought.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sublimity_For_All { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMiN passes=1 center-mag=-1.746408269455024/+0.00000209957438854\ /2.437446e+011/1/162.5/0 params=2.003/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=239 periodicity=6 mathtolerance=0.05/1 colors=000BLP9MM8NKCOMGPOJQPNSRRUTUXUYZXaa`dcehfil\ hoomqsrzwvzzzzyvzxrzwmrwhfvfeudetbdt_dsYcrWcqUbqRb\ pPaoNaoLalIciGdfEecCf`AgY8hV6iS4jP2kN0lO5mPAmQFnQJ\ nROnSToTYoTaoVzxXwgZrc0pM2OG33BB2HJ2NQ1TY1Ze0dl0jg\ 8acGT_OKWWCLRQBNcEOdHOdKPdNPdfA8QPdWV_`_WfdRkiNnp4\ pnJsgZqlXoqVmvTepMYkGQf9Ia3Gb5Fc7Ec8CdABdBAeD7hC9e\ EAbFC`GDYHFVIFNUDLR`e_beWdfSegOghKihGkiCmj8ok4pk1e\ g1Vd1Ka1AZ1CX6EWBGVFITKKSPMRTNPYPOaRNfTLkVKoXJtYIx\ XMuXPrXSoWVlWZjWagWddVgaVjZVnXUqUUtRUwOUzMfsKrlJrb\ VocUldTjeSgfSdgRbhQ_iQYjPVkOSlOQmNNnMKoMIpLFqKDrKM\ nRUkXbgbjdhraniZj`XgTVdWUgYTi_SkaRmcQoePqgOsiNukMw\ aQvSUvJXu9`u0cu0an0_h0Yb0WW0UQ0TK9PVILeRHpQJqPLrON\ rNPsMQtLStLUuKWvJYvIZwH`xGbxFdyFeyGczHazH_zIYzIWzJ\ UzJSzKQzKOzKPzLPzMPzNQzOQzPQzQQzRRzSRzTRzTUzGgzHez\ IdzJczKbzPYzUSzXVzZXz`Zzb`zdbzfdzhfz_VzRJzQLzQNzPP\ zPQzOSzOUzVRzOVzIZzCbz6fz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 14-08-13 (Sharpness [A-7,M-6])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 14, 2013 (Rating A-7,M-6) The lack of a discussion for the next three days does not mean a permanent change in FOTD format. Due to a lack of time, the FOTD's for the 14th, 15th and 16th will be posted without the usual discussion. For convenience, the parameter files will be included however. START PARAMETER FILE======================================= Sharpness { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-1.751865815501035/-0.00876262863845408\ /4.362643e+012/1/89/0 params=1.997/0/0/0 float=y maxiter=5000 periodicity=6 mathtolerance=0.05/1 colors=000zsz_QUziJz`EnT9`L4OB08000H40C00800400000\ 00zzpvpbbZPGE86T20B0LQtCHe69Q0090L0060WH0OB0G60800\ 000H_nz0zi0eL0Hzrt4ez0HXz42k00M00znzUstPklLeeGXZBQ\ Q6HH099000fCcZ8WA4PJ0H908000HHQCCL88E4490020000Jz0\ 9k00MAFEA79CC46400004f60J0us0lj0cb0WU0ML0CB0000lC0\ b80S20G00200Czt8xi2iX0TL0B6TxzPpsLikG`bBTU6LM0BB00\ 0zurzlirc`7APWMLJCB4004KK0mx0nn0cc0TT0HHA6ASWzol8g\ e4_X2SQ0JH0990000r_TZMHE64zXzjOvUCbB0GJgezn_ycSjTJ\ TH9B40f0z_0rT0iM0_E0P60E002_zzPntEX`2CGMjQHbLCWG8P\ B4G60800000eW0HC0Uz0Lv0Bb00GioJbgEX`BQU8LO4CG06800\ 00fXzZQzQLoJCb96O008zizzZyjPjUETB2BQ0LM0GH0CC09906\ 400000zzzpz0kz8fuL`nWWffQZpLQzGHzzCpuMXfEO002S6C90\ 0L0zC0j60U00Bz0`g0OJ08064022000000000000000000ZbzL\ On68Oj08c04X02S00L00C00600000oXecPWTHMH8C400TzZHfL\ 4J6Qzz9ZbUWnPQgLM`GHUBCO66G008000rzzcukPbU8GB`b0z0\ tW0QlzyctnWicMXTCLH064sEk } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Fractals without iteration or feedback?
by Jason Hine 16 Aug '13

16 Aug '13

Hi all, A friend asked me recently whether there are any fractals (natural or mathematical) which are not constructed by iteration or feedback. I couldn't think of one... any thoughts? I'll ask this question on the philofractal forum if need be. Thanks, Jason

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Is Fractint being "moved to a better programming environment"?
by Jason Hine 15 Aug '13

15 Aug '13

Hello all, I was delighting in my discovery of the online searchable Fractint doc (available for years now, probably...) when I (re)encountered a statement on this page: http://www.nahee.com/spanky/www/fractint/drawing_method.html ... in the SOI section, stating the potential for Fractint to be "moved to a better programming environment". I'm curious: Is there a group working to do this? I searched github for fractint but the only hit appears to be a side-effort. I ask both because I'd love to see SOI enabled for zooms deeper than double long precision, and because I'd like to participate in the effort to move Fractint to a better programming environment. Cheers, Jason

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FOTD 13-08-13 (Smickey Algebro [A-8,M-7])
by Jim Muth 14 Aug '13

14 Aug '13

FOTD -- August 13, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: With an artistic rating of an 8 and a math rating of a 7, today's image is quite an improvement over yesterday's. The name "Sublimity For All" might be an exaggeration, but it is what came to mind when I shut down my thinking processes. The actual scene lies in the wedge-shaped East Valley of the large minibrot on the fractalized main stem of the (-Z)^(2.003)+C Mandeloid. This is the exact area where the strange rectangle lies in the Julia sets of the (+Z)^(2.003)+(C) Mandeloid. The image has no rectangles in it, but it certainly does have lots of fractal goodies. As an additional bonus, the image calculates in 1-2/3 minutes, not the fastest image of all time, but still fast enough to take the drudgery from the calculation. Total calculation relief is available at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> where the finished image is or soon will be posted. The day here at Fractal Central began with rain, but the rain ended by 9am and the clouds broke by noon, leading to a mostly sunny afternoon with a temperature of 84F 29C. The remaining fractal cat Nicholas, (Nico for short), had a lazy day sleeping on the shelf behind the TV, a pleasant way for a cat to spend a day, but quite boring for humans who want action. The humans were also annoyed by a balky computer. The next FOTD will be posted ultimately. Until that uncertain time arrives, take care, and on a recent TV show about the quirks of the human brain, the word 'brain' was mentioned over two-hundred times, and the word 'mind', not even once. I suspect that a group of skeptical materialists was behind the show, spreading their belief that we are nothing more than the activity of the material of our brains. (The idea is scientific enough, but I would like to see a rational, step-by-step demonstration of the transition from activity in the material world of neurons to ideas in the immaterial world of conscious thought.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sublimity_For_All { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMiN passes=1 center-mag=-1.746408269455024/+0.00000209957438854\ /2.437446e+011/1/162.5/0 params=2.003/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=239 periodicity=6 mathtolerance=0.05/1 colors=000BLP9MM8NKCOMGPOJQPNSRRUTUXUYZXaa`dcehfil\ hoomqsrzwvzzzzyvzxrzwmrwhfvfeudetbdt_dsYcrWcqUbqRb\ pPaoNaoLalIciGdfEecCf`AgY8hV6iS4jP2kN0lO5mPAmQFnQJ\ nROnSToTYoTaoVzxXwgZrc0pM2OG33BB2HJ2NQ1TY1Ze0dl0jg\ 8acGT_OKWWCLRQBNcEOdHOdKPdNPdfA8QPdWV_`_WfdRkiNnp4\ pnJsgZqlXoqVmvTepMYkGQf9Ia3Gb5Fc7Ec8CdABdBAeD7hC9e\ EAbFC`GDYHFVIFNUDLR`e_beWdfSegOghKihGkiCmj8ok4pk1e\ g1Vd1Ka1AZ1CX6EWBGVFITKKSPMRTNPYPOaRNfTLkVKoXJtYIx\ XMuXPrXSoWVlWZjWagWddVgaVjZVnXUqUUtRUwOUzMfsKrlJrb\ VocUldTjeSgfSdgRbhQ_iQYjPVkOSlOQmNNnMKoMIpLFqKDrKM\ nRUkXbgbjdhraniZj`XgTVdWUgYTi_SkaRmcQoePqgOsiNukMw\ aQvSUvJXu9`u0cu0an0_h0Yb0WW0UQ0TK9PVILeRHpQJqPLrON\ rNPsMQtLStLUuKWvJYvIZwH`xGbxFdyFeyGczHazH_zIYzIWzJ\ UzJSzKQzKOzKPzLPzMPzNQzOQzPQzQQzRRzSRzTRzTUzGgzHez\ IdzJczKbzPYzUSzXVzZXz`Zzb`zdbzfdzhfz_VzRJzQLzQNzPP\ zPQzOSzOUzVRzOVzIZzCbz6fz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 12-08-13 (Smickey Algebro [A-7,M-5])
by Jim Muth 13 Aug '13

13 Aug '13

FOTD -- August 12, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's dark moody image is a slight improvement over yesterday's, but still leaves much room for further improvement. The scene lies in the East Valley of the largest minibrot on the west branch of the filament extending from the large period-3 bud on the northeast shore line of the main bay of the (-Z)^(1.5)+C Mandeloid. The name "Smickey Algebro" means whatever the fractalist wishes. To me it is a fun trick to get people to try to find a meaning that does not exist. The calculation time of 2-3/4 minutes is more than the image is really worth. To save effort, I recommend visiting one of the web sites. Freedom from calculation may be found at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds, reasonable humidity and a temperature of 86F 30C made today quite pleasant here at Fractal Central. Nicholas, the fractal cat, spent the afternoon as a lump under a chair cover. The humans spent the day doing human things. The next FOTD is due to be posted in 24 hours. It might make it; it might not. Until whenever, take care, and I wonder where the music went. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Smickey_Algebro { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=+0.5728187623328764/+1.220849119432405/\ 2.601307e+009/1/90/0 params=0/0/0/0/0/0/0/0/1.5/0 float=y maxiter=1350 inside=0 logmap=425 periodicity=6 mathtolerance=0.05/1 colors=000YXYWVVTSTQPQONNLKLIIIGFFDCDAAA877555000s\ EXpDVmCUjCTgBRdBQaAPZAOW9MT9LR8KP8JN7HL7GJ6FH5DF5C\ D4BB4A9387375263251130120015ud4qa4n_4jX3gV3cS3`Q2Y\ O2UL2RJ2NG1KE1HC1D90A7064032tfqSLRYC2VB1SA1Q91U81c\ 71K61F50D40A30720510200RpKLeGGVCAL85A4dH5WD4OA3G62\ 831FzOEzNDzMDzLCzKCzJBzIBzIAzHAzG9zF9zE8zD8zC7zC6z\ B6zA5z95z84z74z63z63z52z42z31z21z1PvDOrEOoFNmFNmGM\ mHLmHLmIKmJKmKJmKImLImMHmMHmNGkOGiOFgNFePEcMEaLD_K\ CZJCXIBVHATGASF9QE8OD8MC7LB7JA6H95F85E74C63A538427\ 3152131000L7mJ6XI6VP5mG5SF5QE4OD4MC4LB3JA3H93F82E7\ 2C62A518417315203101WTeSP_OLVKIQGELCAF87A4351kv0fp\ 0bk0Ye0U`0QW0LQ0HL0DG08A045iM9fK8dJ8bI7`H7ZG6WF6UE\ 6SD5QC5OB4LA4J93H83F73D62A528416314202100Kz01W01z0\ 1S01Q01P01N01L01J01H00G00E00C00A008007005003001nnC\ zkBzhAze9zb9z_8zX7zU7zR6zO5zU4zU4zU3zU2zK2zK1zU0zt\ uzqrznozlmzijzggzdezabz__ } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 11-08-13 (Abnabiab [A-5,M-5])
by Jim Muth 13 Aug '13

13 Aug '13

FOTD -- August 11, 2013 (Rating A-5,M-5) Fractal visionaries and enthusiasts: Today's image is a diversion, a harmless interlude between greater things. At least I hope so. The parent fractal is an open circle with a triangular mass inside. Today's image lies near the terminus of a filament extending from a bud on the southwest edge of this mass. The image is a not-particularly-attractive mix of flat disks, which I have tried to bring to life with the 'tdis' outside option . . . with only mild success. The name "Abnabiab" sounds important but means absolutely nothing. It simply popped into my head as I pondered a possible name. My disappointment with the image is made clear by the art and math ratings of a below-FOTD-average 5. The day is almost saved however by the very fast calculation time of 45 seconds. If one is to be disappointed, it is best to have put as little time as possible into creating the failure. And the web sites are always there as an alternate way of viewing the image. The finished image is available in various guises on the following FOTD web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought a mix of clouds and sun to Fractal Central, with a temperature of 79F 26C. A little more sun would have produced a perfect day. The fractal cat passed the afternoon as a lump under a cover on an overstuffed chair. The humans made it through the day with no notable problems. The next FOTD will be posted in an appropriate length of time. Until whenever this might be, take care, and when a culture loses its wisdom, it is no longer wise enough to realize what it has lost. (And technology can substitute for only a limited time.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Abnabiab { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.1269907412213486/-1.050448835516018/\ 5.267368e+012 params=1/-33/-1/-3/0/0/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000VI`UOXTUSS_OReKUbJX`IUXHRUHPRHMNGKKGHHGF\ EGTSNfeUfOPz7Kr6If6GV5FSADOKBKUAGU8D37H6BL8FOAJSCN\ VER_FTcGVgHXlIZpJ`tJb45`5DU6LO7TI8`C9h6Ap0Hg6O_CUS\ I`cOgcUmcZicYemXamWdmUfzThzSjzRmzQozPqzOszN`z_IzkF\ zeCz`AzW7zR4zM2zH7zKCzMHzPLzRQzUVzW_zZcz`_zQczSfzU\ izWlzYoz_rzadzSRzIDz8Cz9Cz9Cz9Bz9Bz9Bz9GzHKzOPzVTz\ aYzhazoZz`WzMTz8RzCPzFOzJMzMLzQJzTIzWczIXzcQzxUzoX\ zg_z_czRfzJizBbzFWzIPzLIzOBzR4zUQzjNzdKzZHzTEzNBzI\ Mz`GzaBzb6zbGzdPzfYzgfziozkxzlvzhuzdsz`rEXqDToCPnB\ LmBHnEHoHHpLHpOHqRHrVGsYGs`GtdGugGvjGvmGrnOnnWjncf\ nkbnsZnzYkuYiqXfmXdiWbeW_aVYYVVUUTQURMTOITMESJASH6\ SF2TE4UE5VE6WE7XE9YEAZEB_EC`EEaEFbEGbEHcDKdCMeBPeA\ RfATg9Wh8Yh7`i6bj6dk5gk4il3lm2nm2pj4qg5qd6ra7rZ8sW\ 9sTAtQBtNCuKDuHEvEFvBGw8Hw5Ix2JxobTehPWnMhbZtRklTW\ eUHZV2ZS3ZQ4ZO5ZL6ZJ6ZH7ZE8ZC9ZAAZ8A_9B_AB_BB_CC_D\ C_EC_FD_GD_GDWLGTQJQULWCd } 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 09-08-13 (Cubic Anti-Minibrot [A-5,M-6])
by Jim Muth 09 Aug '13

09 Aug '13

FOTD -- August 09, 2013 (Rating A-5,M-6) Fractal visionaries and enthusiasts: As the name of today's image, "Cubic Anti-Minibrot", implies, the image is an example of cubic anti-trifurcation. Unlike anti- bifurcation, anti-trifurcation repeatedly cuts the number of elements by 2/3 as the peak of the central hill is approached. This is not very clear in the image, but it is there nonetheless. The scene of the action lies in the East Valley of the large minibrot on the western filament extending from the northern bud of the parent cubic Mandeloid. With the art rating down to a 5 and the math rating at a 6, I suspect that the 'anti' theme is growing boring and it might be time to move on to new mathematical wonders. The calculation time of a fireball fast 30 seconds will leave little chance for too much expectation to build, making the risk of disappointment slim to none. And the web sites are always ready to eliminate the annoying chore of calculation. Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds hung around most all day here at Fractal central, but the rainfall was minimum. The temperature of 84F 29C felt a bit muggy due to the high humidity. The fractal cat, who has reached the exalted status of senior cat, slept through most of the afternoon, while the non-exalted humans had to work their way through the day. The next FOTD will be posted in the proper time. Until whenever, take care, and we all might be conscious robots some day, or even better, we might already be robots. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CubicAnti-Minibrot { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.2590819002336924/+1.254100298263262/\ 3.963381e+011/1/-25/0 params=1/3/1e-016/-3/0/0/0/0 float=y maxiter=1500 inside=0 periodicity=6 mathtolerance=0.05/1 colors=0006lnj2Oh4Mg6Kf8IeAGcCEbECaGA`H8aI7aJ6aJ5a\ K4aL3aL3UIIMGWEDj6BxKHlYNajSRmTTpUVrVWuWYxX_zY`tUM\ pXHm_Dia9fd5cf1do6zzcquCntEksGkqIjpKkoMknOijKhfGfb\ Ce_9_VBUQCPLDJGFGFGEELFJQLQZRZgXdpagyYmp00900E00H0\ 0K00J00K00L00M00N00O00P00Q00R00S00T00U00V00W00X00Y\ 00Z00_00`00a00a00`00`00`00`05_0A_0FL5KQAOUFSZKVcPX\ cUZbZ_b`abbbbdcceccfccgcchddiddjddkddldemeeneeoeep\ efpffqgfqhfrigrjgskgslgtmhunhvohwphxqiyrizsiztizuj\ zvjzwjzxjzykzzkzzkzzkzzlzzlzzlzzlzzmzzmzzmzzmzznzz\ nzznzznzzozzozzozzozzpzzpzzpzzpzyqzyqzxqzxqzwrywrx\ vrwvrvuouumttkstirsgqseprcoranqZmqXlrVlrTlrRkrPkrN\ jsLjsJisGisEhsChtAgt8gt6ft4ft2ft0gs1gr2gq3gp4go5go\ 5gn6gm7gl8gk9gk9gjAgiBghCggDgfEhfEheFhdGhcHhbIhbIh\ aJh`Kh_LhZMhYNhYNhXOhWPhVQhURhURiTSiSTiRUiQViPWiPW\ iOXiNYiMZiL_iL_iK`iJaiIbiHciGdjGdLLOJLNHKMFJLDJKBI\ J9HI7IH8HI8HJ9HK9HLAHMAGN } 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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