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FOTD 01-10-14 (Timely Textures [A-7,M-5])
by Jim Muth 03 Oct '14

03 Oct '14

FOTD -- October 01, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's image was created when I subtracted Z^(3.5) from Z^(2.5) and added straight C on each iteration to produce a parent fractal that appears as a distorted Mandeloid rotated 180 degrees, with two large lumps on its East Valley side, which in today's image is on the west side of the main bay. The image itself is located in the area of the southern lump. The overly textured effect was created by rendering the scene with the outside set to 'tdis'. These textures inspired the name "Timely Textures". The art rates a 7, mostly due to the brilliancy of the greens. The math comes in at a 5. We have been here quite often before. The calculation time of 2-1/4 minutes is within reason. The FOTD web sites can make things even more reasonable. The finished image is online 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> After a dark and stormy night, today began cloudy and dreary here at Fractal Central. But by midday the clouds cleared away, leading to a sunny afternoon with a temperature of 70F 26C, which made both the fractal cats and humans happy. The next FOTD will be posted soon. Until soon arrives, take care, and to have a true peace on earth, we must get rid of the bad guys who are causing the trouble. The problem is how to get everyone on earth to agree on the identity of the bad guys. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Timely_Textures { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.9063772425317335/-0.5816705023396256\ /6.6904e+010/1/155.75/0 params=-1/3.5/1/2.5/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=0000z4L`JQYNUVQaTUhSXgU_gWagXdgZfg_igakgbmo\ M_w5Nm4Jc3FU2B861K17A03h7uM3T2Kv1Db06J42Y21M10BYJR\ H9DhR2XK1MD1B60_`bSTVLMNEEF777rT7kP6dL5YI4RE3KA2D7\ 1630OPgI0m1hM0UE0F7M6VE4K72AAqrXjEScCNXAIQ8EK69D44\ 62vgOl_KbTGTMCJE8974kUvdPmYLeRHXKCPD8G6484bI2J97dv\ 5Yl4Rb3KT2DJ1691vl0g_0TO0ECZ9SQ6LH4E827FzNDrKBjH9b\ E7VB5N83F5172hpOc1pQ0ZD0Hve4bS2JE12Ru1Nm1Kf1G_1DT0\ AL06E037MJIIFFECCB997663330mT0fP0`L0VI0PE0IA0C7063\ 8TH6OE5KC4G93C7284142UUWFFGnpyYZdHHKlxYepT_hPUaLOU\ HIMCCF8674meNactJKSwsokgd_XVOMKCBAEGHCEEACC8AA7885\ 66344122N0oJ0fF0YB0Q70H308oCNhAKb9HW7EQ6BJ48D35612\ 9TXl4bb3VT2NJ1F907UjgMZXFNM7BBLB6H95E74A53732311cz\ ZZrUUjQPbLKVHFNDAF8574FU_COS9IL6CE367IQy9DVVBZN8QF\ 5H728q9YJ2duqxmjpfch_XaTRULKMEDF7678Ds6Bk59c47W35O\ 23G118spYigS`ZMSQHIHB985qiDibBaW9UQ7NJ5FD3761iwe_k\ XR_PIOG9C81cE0YC0SA0M80H6 } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 29-09-14 (Pinwheels in the Dusk [A-8,M-6])
by Jim Muth 30 Sep '14

30 Sep '14

FOTD -- September 29, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in Seahorse Valley of the Mandeloid that results when the expression Z^(1.5)+C is iterated 1.5 turns up the complex logarithmic hyperspiral. The hyperspiral is a kind of hyper-dimensional screw that results because the complex log function is multi-valued and can be sliced at any level desired. Today's parent fractal resembles a distorted Mandelbrot set rotated so that the large bud faces northwest. Today's image lies in the southwest branch of the valley that encloses this bud. I named the image "Pinwheels in the Dusk" because this is what came to mind when I first saw the image. The art rates an 8 since the subdued colors reflect my negative but unfortunately correct outlook on the world. The math rating of a 6 shows that no new surprises lie in the math aspect. The calculation time of 2-1/2 minutes will pass fast enough, and if for some reason it does not, the web sites can bring relief. The image is posted 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> Lots of clouds dimmed the sun here at Fractal Central today, but the temperature of 77F 25C kept things quite pleasant. The fractal cats and humans had an equally pleasant day. As for the next FOTD, it will be posted when the time is right. Until the right time arrives, take care, and everyone loves a mystery. To me, the greatest mystery of the present era is why 'terrorists' are so filled with anger that they are willing to sacrifice their lives. People do not willingly die simply because, as we hear so often on the news, they hate freedom, (whatever this is supposed to mean). Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PinwheelsInTheDusk { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 passes=1 maxiter=1500 center-mag=-0.5490397032900621/+0.5770322366739224\ /3.621379e+012/1/35/0 params=1.5/0/0/2.15 float=y inside=0 logmap=396 mathtolerance=0.05/1 colors=000LEkKDjJCiIBhHAgG9fF8eE7dD6cC5aC5`B5ZB5YA\ 4WA4V94U94S84R83P73O73M63L63K62I52H52F42E41C31B31A\ 218217105104002001zgBsdAob9k_9gY8dV7aT7ZQ6WO6TM5QJ\ 4NH4KE3HC3E92B718415201rz0mv0hr0em0ah0Zc0VZ0SU0PP0\ MN0KL0IK0HI0GH0FF0EE0CC0AB08A088087085074062051o5T\ k4Rh4Pe4Nb3LZ3JW3IT2GQ2EM2CJ1AG19D1790560330110z00\ n00e00X00O00G008A_b9WZ8TV7QS6MO5JL4GH3DE29A167033g\ fR`_NVUJPOFIIBSLGRLGQMHPNHNOIMOILPIKQJIQJHRJGSKFTK\ DTKCULBVLAVLBXJCZHC`GDbEDdDEfBEgAFi8Fk7Gm5Go4Hq2Hr\ 1Gp0Fn0Fl0Ek0Ei0Dg0De0Cd0Cb0B`0B_0AY0AW0AV09U0UT0U\ R0UP0UO0UM0UK0UI0KH0KF0KD0KC03A0280260150130010g3_\ d2Xa2V_2TX2RV2PS1NP1LN1JK1GI1EF1CC0AA08706504202cC\ UcBTcBSVARUAQKAPK9OR9NU8MA8LA8KA7J07I06H0AGIAFGAEF\ ADEACDABCAABA9AK89K77K66K55K44U33U22U11U08Up4UQ_dn\ YblX`jV_hUYfT`dRcbQf`OiZNkXMmVKoTJqRIsPGuNFwLDzJCz\ HBzF9zD8zB6z9Pz7Oz5MzlMzl } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 26-09-14 (Briskly Efficient [A-8,M-5])
by Jim Muth 28 Sep '14

28 Sep '14

FOTD -- September 26, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 4 parts of Z^(-1.4) are combined with 0.4 part of Z^(-12.6) before (1/C) is added on each iteration. This parent fractal vaguely resembles a Mandelbrot set rotated 180 degrees, with a double Seahorse Valley setting off the main bud. This valley has two branches on both the north and south sides. On the north side the branches diverge as they approach their limits, but on the south side, the branches converge and merge into a single valley. Today's image lies in the area where the two branches merge. The name "Briskly Efficient" can mean whatever the viewer decides. To me it refers to the rather brilliant coloring, which earned a rating of 8. The math is the decade-old MandAutoCritInZ stuff, so I could rate it no higher than a 5. The image is a rather slow one, requiring up to 12 minutes to finish on today's average machine. To make life more rewarding, the web sites are always online. Reap your reward by viewing the finished image online 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> Today dawned foggy here at Fractal Central, but the fog quickly cleared away, leading to a perfect day, with the usual photoshop blue skies, cottonpuff clouds, gentle winds and a temperature of 75F 24C. The three fractal cats and two fractal humans agreed. The next FOTD will most likely but not certainly be posted in two days. Until whenever, take care, and I am strictly for religious freedom in the U.S. as long as it includes the freedom of all religions to worship their vision of the divinity. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Briskly_Efficient { ; time=0:11:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.699237277325977/-0.1660518353150941/\ 6.026e+011/1/-135/0 params=4/-1.4/0.4/-12.6/0/0/0/0 float=y maxiter=5000 inside=0 logmap=930 periodicity=6 mathtolerance=0.05/1 colors=000AEaAEaBEbCFcDGeEHgFIiGJkIKmKMoMOqOQsQSuS\ UwWWzWYyY_z_azaczcezegzgizikzkmzmozoqzprzsuzsuzwyz\ wwzzzzzzrzzmzzgzzdzz`zzYzzUztRztNzoKzmGzkIokIoiIoi\ IogIogIofIK2tG0yF0zD0zA0y80t65p4Am2Fi0Kf0P`0UY0YU0\ bR0gN0mK0sF0yB0z80z50z20z00z20z40z60y80sA0mD0iF0dI\ 0_K0UL0RP0LR0GT0DW08Y04`00b00d60g60iF0kF0iN0gN0fW0\ dW0dd0bd0`i0_i0Yo0Yo0Ws0Us0Tp0Uw0Rz0cz0NzFhz0LzPmz\ 0P00000000B00F00R00W00`00_00T00R00N00K00I6PY`0F`08\ `00`60`B0bD0bF0bG0bI0dK4dL6dNAdPBfRFfTIs0zd0zT0zF0\ z40z00z00zDAomP_tYozfzzozfkzIim0gYITgPYmWbs`fylkzz\ zzzzzzzzzzzNbUBYG2T40N00F408F02R00b00o00z00z00s05Y\ 0KD0_00o0Bs0ftNzwk6Iz0mAAdGLYNYRUgK_sAIz02z00w08g4\ UW8ogLts_zzmzzfpz`fyWWyRLwLBtG2sB0s60kF0fL0`T0W_0R\ f0Td0UbBUbPW`dY_sY_zKfi8mN0t20w00t08wAIwNUw`dwopwz\ zwzzzyzzfzzPzz8zz0zz0zzTzzLzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Discovery of Fractal Lasers
by Hal Lane 27 Sep '14

27 Sep '14

The article at the page below describes and mathematically models the light patterns of fractal laser modes. It says: "Looking down each column, one sees progressive development of additional small-scale details as the aspect ratio of each cavity is increased. Some of these output laser modes looked strikingly like 'laser snowflakes'!" The fractal laser modes mathematically modeled by Fresnel diffraction shown in the last set of images clearly look fractal in structure, as do the patterns in the lower rows of their grid of actual patterns. http://tinyurl.com/Discovery-of-Fractal-Lasers or: http://www.salford.ac.uk/computing-science-engineering/research/materials-ph ysics/applied-optics/fractal-lasers - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 25-09-14 (Intricate Web [A-8,M-8])
by Jim Muth 26 Sep '14

26 Sep '14

FOTD -- September 25, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: While playing with old discarded formulas, I recently stumbled upon today's image, which must be seen to be believed. The image is a slice through a 'dividebrot' Julibrot at an angle only 0.02,0.02 degrees from the Julia orientation. The name "Intricate Web" comes close to describing the scene, but the word 'web' does not do full justice to it. The more delicate parts resemble a spider's web closely enough, while the more solid parts look more like floating blocks of concrete. To find the best proportions I did stretch the image somewhat in the horizontal direction, though not enough to distort the image or change the overall effect. The coloring is mostly accidental. Only a small part of it is my own creation. The calculation time of 3-1/4 minutes will pass faster than expected once the details become apparent. Of course, the web sites are always available for even faster satisfaction. Check the finished image 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> Today began with cloudy skies and light sprinkles here at Fractal Central. But by afternoon the rain ended and the sun appeared, making the fractal cats and humans quite happy. The temperature of 70F 21C could not have been better. The next FOTD will be posted in time. Until the time arrives, take care, and the U.S. president, Mr. Obama, recently stated in an address to the United Nations that the cause of empire leads to the graveyard. Since, his country, the United States, has over 500 military bases scattered around the world, I wonder which nation he was talking about. And I'm a little on the conservative side. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Intricate_Web { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=5.51/0/34.5/1.4601/-90/0 params=89.98/0\ /89.98/0/-0.77/0/0/0/1.05/1.5 float=y maxiter=600 inside=0 logmap=198 periodicity=6 sound=off colors=00033844B66E88HAAKDDNGGQJJSMMUPPWTTYXX_``bg\ ghmmmmmpmozorzrzzzzzmmmmmmcccUUUPRoMDUBIBJHARH9ZG8\ c32eA5fG7hNAmR0kS6iTCkQ9mNCmQFmTImWLmZOmaRrdUre_rg\ bqddpb`q`YrYUtWQwUNzRLzOJzLHzIFzFDzDBzHPzLazOnzHZz\ AKzF5zF8zKAzQDzWFzaHzgKzmMzmOzmZzmZzmdzmazmZzmXzhL\ zcKzZKzeKzbJz`IzZHzaOzcVze`zhgzjnzltzfqzanzWkzRhzL\ ezGbzB`zNkzYvzWizVYzMOzDFvPIr_KmVRZQYcLdZOgUQjPSlK\ UoMWlNRfON`PIVQEQK9UO5YS1bb0fl0zeDz_PzT`zNlzrzzjwz\ eszUqzPmzQkzN`zKRzHGuF6pJ9kNCkQEpUHuXJz2oz9izFczFp\ zFjzFdzFZzFTzFOzJSzMVzPYzT`zWczZfzWezUdzSczQbzObzL\ dzJez5szBlzHfzN_zTUzZNzcHz`JzYLzVNzSPzhazaYzWVzQRz\ JOzDKz1Bz7HzDMzJRzPWzVaz`fzfkzf8zkpzgozcnz_mzWlzSk\ zOjzHlzKjzMhzPfzRdzTbzW`zYZzScz_XzXazVezTjzRnzOMzO\ PzORzOUzJ1zLCzMMzOWzPezKyzNtzQozTkzWfzZbzaYzYYz`Wz\ bVzdUztRzoSzjTzfTzaUzXVzTVzOWz70zCBzGMzKWzOfzsBzUv\ zSpzQjzhqzWhzPdzIazBZz0_z } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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<Brian>Yr "monochrome details" of Jim's FOTD 'Another First' r very nice.
by Hal Lane 25 Sep '14

25 Sep '14

Brian, I hadn't noticed your monochrome details until today. They're very nice. I've forgotten if you've mentioned how you calculate your details of Jim's fractals... Let me take a wild guess: Do you use a multi-core version of UltraFractal -- and a different "coloring" option than just iteration? - Hal Lane ######################## # hallane(a)earthlink.net ######################## ======================================= Author: Brian Prentice Date: 2014-09-11 08:59 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] Re: FOTD 08-09-14 (Another First [A-7,M-8]) Here are four more monochrome details: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88c.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88d.png Brian Prentice ======================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Lg anti-aliased vers of new Jim Muth FOTD images r now on my site.
by Hal Lane 25 Sep '14

25 Sep '14

Large anti-aliased versions of Jim Muth's FOTD images for Sept. 18 - 22, 2014 and some of my 'investigations' into their parent fractals are now on my site. Thanks again for navigating through my Home Page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 22-09-14 (Eight Buttons [A-7,M-7])
by Jim Muth 23 Sep '14

23 Sep '14

FOTD -- September 22, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Eight Buttons" because eight buttons are in the image, seven around the minibrot, the eighth in the upper left corner. Actually, an infinity of similar buttons fill the frame, though they are too small to be visible at the magnitude of today's image. The squashed-bug shaped Z^(1.57)+C parent fractal is the same one that held the most recent image. Today's scene lies in a jagged disconnected string of debris well inland from the southern branch of Seahorse Valley of the parent. The art is nothing to write home about and the math is hardly new, so both the art and math aspects of the image rate an adequate 7. The calculation time is the real winner however. At a fireball fast 30 seconds, the image will be finished, if anything, in too brief a time, so make things more interesting by visiting the web sites. The finished image is posted online 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> There was definitely a touch of autumn in the air today here at Fractal Central, with a brisk north wind, blue sky mixed with dark lumpy clouds, and a temperature of 64F 18C. The fractal cats enjoyed the outside from the inside, while the fractal humans found only a little in either place to enjoy. The next FOTD will be posted in the not-too-distant future. Until whenever, take care, and stay alert for the next imminent threat. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Eight_Buttons { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 center-mag=-0.75323622\ 1191/-0.031330167676/3502642/1/127/0 params=1.57/0\ /0/1.57 float=y maxiter=2000 inside=0 logmap=86 colors=000A0K90M80O70Q60R50U40V30Y20T10P00N00K00H0\ 0F00C000400C10KCSIADQIObYVpjbzrbzzYzzSpzPmzKjmHszC\ gz9ez4ez10zz0zz0xz0gz0Sz0Cz00z00z00z00z00z00r00e00\ Sz0Ez41zC0zM0zU0zb0zY0rU0lS0zP0zM4zKEzHPmE_pCjc4_c\ 0Sc0Kz09z01z00m00m40mM0m0zm0zmEz_bzzxxzzpzzj0zg9ur\ KpzYgzgbzuYzzPzzKzzEzzSzuezbrzMzz6zx0zS0z00z9zzMzz\ _zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzxzzrzzmzzgzzmzzrzuuzmzzgz\ z_zzUzzMzzHzz9zz4zz0zz0zz0zz0zz0zz0zz0zz0xz0mz0_z0\ Pz0Cz01z00z00z00z00z00z00z00z00z00z00z00z00z00z0Ez\ 4UzHjzSzzezzpzzPmz19z00z00z00z00z00zr0zr4zrCzrHzrM\ zrSzrYzrbzzgzzmjzpPzu6zxgzzzzzzzzjzx0zC0zE0zE0zE4z\ E9zHEzHMzHSzHYzKbzKgzKmzKpzzrzzrzzuzzuzzxzzxzxzzpz\ zgzz_zzSzzKzzCzz4zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0xz0\ rz0mz0gz00zb0zz0zm0zC0z00z00z00z04z0Cz0Kz0Sz0_z0gz\ 0pz0xz0rz0mz0gz6bzEYzMSzS } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 21-09-14 (The Bright Side [A-6,M-8])
by Jim Muth 21 Sep '14

21 Sep '14

FOTD -- September 21, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's scene lies in the southern branch of the distorted Seahorse Valley of the amorphous parent that results when the expression Z^(1.57)+C is iterated 1.57 levels up the complex logarithmic hyperspiral. This parent somewhat resembles a squashed bug. I chose 1.57 because this is close to half the value of PI, and with the BranchCutGenHJ2 formula the branch cut hyperfractals are in a cycle of 2*PI. The image was calculated with a maxiter of over one-million. This slows the calculation process notably, but is necessary to fully resolve the prominent minibrot, whose bright upper edge inspired the name "The Bright Side". This brilliant upper edge contains elements of extremely high iteration count, which makes the ridiculous maxiter necessary. The art has nothing special to offer, so it rates a mere 6. The math rates an 8, mostly because of the ultra-high iteration stuff on the northern edge of the main bay of the central minibrot. With a maxiter of 1,250,000, the image is slow, taking over 9 minutes to finish on a high speed SOTA machine, that is if one can be found that does not get constipated when it hears the word DOS and then needs an add-on program to get it moving. Luckily, the FOTD web sites are online to avoid the whole messy problem. Much time may be saved by viewing the finished image on the FOTD web sites 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> Today brought a late taste of summer to Fractal Central, with partly cloudy skies, a gentle south wind and temperature of 82F 28C. The fractal cats were so eager to get outside that the humans discussed screening in the back porch to give them a safe outdoor catarium to enjoy. The next FOTD will be posted in the proper time, which of late has been every two or three days. Maybe I should think of another name for the FOTD, since it no longer reliably appears every day. Until whenever, take care, and when things go wrong, look for a bright side and then expect to pay a small fortune to a psychotherapist. Jim (Captain Negative) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Bright_Side { ; time=0:09:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 center-mag=-0.70820832\ 38/+0.2323163283/21468/1/52/0 params=1.57/0/0/1.57 float=y maxiter=1250000 inside=0 logmap=260 colors=000`UccUffUiiUllUhoUkrTnuSqxKwvLtuLrtMpsMnr\ NlpNjoNhnOfmOdlPbkP`iQZhQXgQVfRTeRRcSPbSNaTL`TJ_TH\ ZUFXUDWVBVV9UW7TW5SW3TV4TU4TT4TS5TR5TQ5TP6TO6TN6TN\ 7TM7TL7TK8TJ8TI8TH9TG9TF9TFATEATDATCBTBBTABT9CT8CT\ 7CT7CT7CT7CR8DQ9EP9EOAFMBGLBGKCHJDIIDIGEJFFKEFKDGL\ 6BGCGLHLQMQURVZW_c`dgeiljnqpvvosunqunoummumkuliukg\ ukdujbuj`uiZuhXuhVugTugQufOseMteKtdItdGtcEtcCsaCr_\ CrYCrWCrUBpSCpQCpOCpMBnKBnICnGCnEBlCBlABl67r79o8Al\ 9BiACgADfBEdCGaDH_DIYEZWFZTGZQHZNHZLIZIJcFKcCFc4Ic\ 7KcAMcDOcGQcIScLUcOWcRYcU_cWacZccaecdgcgncfkchicig\ cjdckbcl`cmYcnWcoXcsVcqUcpTcnScmRclPcjOciNcgMcfLce\ JccIcbHc`Gc_FcZDcXCcWBcUAcT9cS7cQchPchNchMchMcmLcm\ LcmLcmLcmLczKczKczKczKczKczJczJczJczJczJczIczIczIm\ zImzImzHmzHmzHmzHmzHmzGmzGmzGzzGzzEzzGzzHzzJzzKzzM\ zzNzzPzzQzzSzzTzz6zzIzzUzzezzszzqzzozznzzlzzjzzizz\ gzzfzzdzzbzzazz_zzZzzXzzV } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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A fractal in snow
by JackOfTradeZ＠comcast.net 21 Sep '14

21 Sep '14

. And people think crop circles are made by space aliens! .

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