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AOTD 3/30/2014
by JackOfTradeZ＠comcast.net 30 Mar '14

30 Mar '14

. Animation of the "Ides of March" FOTD is posted: http://www.fractal-animation.net/vid/fallen.zip It is 28 MEG, 1 min 40 sec. Starts out real pretty then corruption sets in ...... I took the liberty of altering the color map. Enjoy! Comments welcome (especially nice ones) .

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FOTD 30-03-14 (Patterns in Nothing [A-8,M-9])
by Jim Muth 30 Mar '14

30 Mar '14

FOTD -- March 30, 2014 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image is the last in the series of hyperminibrot images. It takes us as far as we can go into the HyperMandelbrot set with the DOS Fractint program, which after 20 years or so of supreme service is now far from state of the art. A minibrot was once at this spot, but now it's gone. It leaves only its memory to carry on. (To see the minibrot, change the real(p3) parameter to zero, raise the maxiter to 8000, shut off the logmap, shrink the view-window, and wait a few minutes.) The name "Patterns in Nothing" indicates that a good part of the image lies inside an originally empty area of the now-vanished minibrot. The outer edge of the fractal ring retains the eight elements of the original minibrot, but the next ring inward has 30 elements, which is followed by a ring of 14 elements and then at the very center, a near-invisible ring of 6 elements. The series seems to cut each level in half and subtract the number one as it progresses inward. If this series continues, it would lead to a ring of only 2 elements at the next inward level, and zero elements at the level beyond that. Unfortunately the next level inward beyond the 6 is beyond resolution. One of these days, some fractal math expert, which I am not, might determine exactly what such an unlikely series means. As I see it, all the stuff in today's image might be nothing more than artifacts of math imprecision. If so, it still makes no difference, since what we have on the screen is still a fractal. The worth of the art aspect, at least in my opinion, is a very high 8. The math aspect rates an even higher 9. The calculation time of 6-3/4 minutes is slow indeed, but relief is available on the FOTD web sites. Running the included parameter file is more fun; viewing the finished image on the FOTD web sites listed below is more efficient. <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> The day began with clouds and occasional sprinkles of rain here at Fractal Central. This situation continued through the morning. The rain grew heavier and steadier by noon, and continued through much of the afternoon, with snowflakes mixing in as the day progressed, while the temperature hung around 37F +3C. The fractal cats busied themselves watching the world go by and complaining about the lack of sun. We humans, also of a fractal nature, had no need to take extraordinary steps to keep ourselves busy. The next FOTD will be posted when it is. For a more specific schedule, check back here often. Until next time, take care, and keeping busy is an integral part of the hectic modern day lifestyle, which is based on the scientific assumption that we exist on earth only one brief moment, and therefore must grab all the action we can before we go 'poof' like a wandering soap bubble drifting in the night. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PatternsInNothing { ; time=0:06:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-1.250229217708186/+0.01137634927674942\ /1.4e+011/1/-142.5/0 params=0/0/0/0/0.23/0/1e-100/0 maxiter=2100 inside=0 logmap=-1762 periodicity=0 colors=000DUcDUcDUcDUcDUcDUcDUcDUcDUaDU`DUZDUYDUWD\ UVDUWDUXCUYBUZAU_9U`8Ua6Ub5Uc4Ud3Ue2Uf1Ug0Ug2Th4Si\ 6Rj8Qj9NkBLlDJlFHmFFnFDnECmCAl98k66i44f67b7A_8DX9G\ VAISCKUDMUEOU7QU7SU9UUAUUBUUCUUDUUEUSFTQGROHNMIJKN\ HARFAUDAUBAU9CU8EUA7UC0UE4UG7UIBUKEUMFUPFUUFVZFWaF\ X_FYXF_UG`SGaPGbMGcKGdHGeFGdGEcHDcHCbIBFVLGYJI`HJc\ FKfDLiBMl9JgCHbFFZIDULBQOILLPGJVBGa6Eg2Ch3Dh3Ei4Ei\ 4Fi5Fj5Gj5Gj6Hk6Ik7Ik7Jl8Jl8Kl8KhCMdGOaKQwUswXrwVq\ wUpwUowUnwUmwUkwUiwUgwUewUcwUawU_wUYwUWwKUwIUwQUwP\ UwOUwNSwMQwLOvKMuJLtIKsHIrGGqFEpECoDAnC6mB5lA5i94f\ 94c83_83X72T72Q61M61I50D50950_GJaRMgYRkaKjcIifGhiF\ glDdoBfrAjt8nv6rx5vz3zz1zz0zz6zzCJjIHlOFmUDn_Bpe9q\ k7rq5sv8prAnoCllFjhHheJfbLdZObWQ`TSZPUXMXVJZTF`RCb\ P9gTPkXdo_sr`jt`bqZ_oXYmVWkTUiRSgQQdOObMM`KKZIIXGG\ VFEUJCTMBSPASS9RVAQYKP`UPccUemZgvcizqkzwmzwozwqzws\ zzuzzwzzxzzyzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Another animated .GIF -- increasing Maxiter values of the same scene.
by Hal Lane 30 Mar '14

30 Mar '14

On 03/29/2014 02:16 PM, David wrote: > That's pretty cool. Fascinating to watch the > intricate details fill themselves in. Glad you enjoyed it! > It's almost like the boundary of the minibrot is > condensing from a surrounding fractal fluid. That's a creative way of looking at it... - Hal Lane ######################## # hallane(a)earthlink.net ######################## ==================================================== Author: david Date: 2014-03-29 21:56 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] Another animated .GIF -- increasing Maxiter values of the same scene. On 03/29/2014 02:16 PM, Hal Lane wrote: > Animated .GIF of increasing values of Maxiter in > a zoom into the parent of Jim Muth's FOTD for > March 26th, 2014. > > Maxiter= 1k, 2k, 4k, 8k, 12k - (FOTD value) > (640 x 480 pixels) > > If you'd be kind enough to navigate to March 26th, 2014 > through my home page, I'd be much obliged for your help > in keeping my page counters correctly updated: > http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html > > Thanks, > > - Hal Lane That's pretty cool. Fascinating to watch the intricate details fill themselves in. It's almost like the boundary of the minibrot is condensing from a surrounding fractal fluid. -- David W. Jones gnome@??? authenticity, honesty, community http://dancingtreefrog.com ================================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Another animated .GIF -- increasing Maxiter values of the same scene.
by Hal Lane 29 Mar '14

29 Mar '14

Animated .GIF of increasing values of Maxiter in a zoom into the parent of Jim Muth's FOTD for March 26th, 2014. Maxiter= 1k, 2k, 4k, 8k, 12k - (FOTD value) (640 x 480 pixels) If you'd be kind enough to navigate to March 26th, 2014 through my home page, I'd be much obliged for your help in keeping my page counters correctly updated: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Thanks, - 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 28-03-14 (Super Hyper Ultra [A-7,M-8])
by Jim Muth 29 Mar '14

29 Mar '14

FOTD -- March 28, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: To create today's image I took yesterday's image, increased the infinitesimal value of the real(p4) parameter by a factor of 100,000, and zoomed into what is left of the minibrot at the center. As today's image shows, very little is left of the minibrot. The Mandelbrot shape is still vaguely discernible around the edges of the converging arms, but the rest of the details have degenerated into hyper-chaos. The image is offset in either the real(j), imag(j), real(k) or imag(k) direction. I have no idea of which, though I know it is not offset in either the real(i) or imag(i) directions, since when this is done, the normal perturbed distortion results. The name "Super Hyper Ultra" is hyperbole. No image could possibly be so outstanding. The art rating of a 7 seems about right. The math rating of an 8 is based on the totally non-intuitive nature of the scene. The calculation time of 6-1/3 minutes will pass fast enough. This time may be cut at least in half however by visiting the web sites. The finished image is available 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> Rain fell during the morning today here at Fractal Central, but the sun appeared in the afternoon, leading to a rather pleasant day with a temperature of 59F 15C. The fractal cats approved heartily of the sun and took turns basking on the window shelf, while the humans made it successfully through another day. The next FOTD will be posted either tomorrow or the day after. To be sure, check back here on both days. Until whenever, take care, and could anyone possibly imagine that higher technology could solve all the problems currently facing humanity? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Super_Hyper_Ultra { ; time=0:06:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.2502292177082/+0.01137634927677626/\ 1.034e+012/1/-155/0 params=0/0/0/0/0.248/0/1e-095/0 float=y maxiter=2042 inside=0 logmap=1786 periodicity=0 mathtolerance=0.05/1 colors=000l6`l7_n8Wn9ToBPoCMoBJpAGl8Cf54`2DV2BM08H\ 27D37645130000s_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\ PFMMDIKAEH9CF6BE4AC3CB2EA0G80I80K70M60O40Q62S84UA6\ WC8YEA_ECaFC`GC`HC_IC_HDYGDWFDVEDTDDSCDQBDPADN9DL8\ DK7DI6DH5DF4DE3DC2DB7HFCLJHPNMTRRXVV_Z_cbdgfikjnon\ ssrwvvutwsswqrwoqwmpxkoximxglxekxcjyaiy_hyYfyWezUd\ zSczQbzOazLbsIclGdeDeZBfT8gM6hF3i81j23i35i37i39i3B\ i3Di4Fi4Hi4Ji4Li4Jj6Ij8HjAFjCEjEDkGCkIAkK9kM8kO7lQ\ 5lS4lU3lW2lX6mV9nUCnSFoRJoQMpOPqNSqMVrKZrJasHdsGgt\ FjuDnuCqvBtv9ww8zw7yvCyuGytKytOysSyrWyq_yqcnpYcoSU\ oMJnG9nACkEFhIHeMKcQM`TPYXRW`UTdXQhZNkaLocIsfFwhDz\ eHwbLt_PqXTnUXkS`hPdeMhbJl_GpXEtUGsVHsVIsVJsVKsVLs\ VMsVNsVOsVPsVQsVRsVSsVTsVUsVVsVWsVXsVYsVZsVVmSShQU\ gPWgPYgP_gOagOcgOefNgfNifNkfMmfMofMqeLseLueLweKyeK\ zeKzhNzkQzmTzpWzrZxqXvqWtqUrpTppRnpQlpPjoNhoMfoKeo\ JcnIanG_nFYmDWmCUmBSm9Ql8 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 27-03-14 (Mystery Epicycles [A-7,M-9])
by Jim Muth 28 Mar '14

28 Mar '14

FOTD -- March 27, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Believe it or not, today's image has the same 'C' coordinates in the Mandelbrot set as yesterday's. But the appearance has totally changed. The central minibrot as well as everything around it has vanished and been replaced by a series of 14 converging arms. The reason for the change is the real(p3) parameter, which has been raised from zero to 0.248 and thereby offset the slice ever so slightly in one of the other six directions that are perpendicular to the plane of the image in the 8-D Julibrot. The name "Mystery Epicycles" refers to the 14 converging arms that have replaced the minibrot. The number 14 is strange enough, but the next deeper series of converging arms, barely visible at the center, numbers only six. I have no idea what determines these series, so they are still a big mystery. BTW, epicycles are what the strange retrograde motions of the planets were called before we knew the nature of the solar system and the laws of gravity. The art aspect, which in my opinion is a little better than yesterday's, rates a 7. The math aspect reveals its full mystery in today's image, and honestly earns its superior rating of a 9. The calculation time of 11 minutes is definitely slow, making the web sites a far better way of viewing the scene. Check 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> Clouds moved in just after noon here at Fractal Central today. Things were not as bad as they might have been however, as the temperature reached 46F +8C. The fractal cats grumbled when the sun was obscured just as it reached their window shelf. The fractal humans simply did their usual grumbling. The next FOTD will be posted in a moderate number of hours. Until we find out what moderate means, take care, and the perfect SAT test would be one in which every student scores the same mark. But if we ever achieved this ideal goal, why would we need the test? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mystery_Epicycles { ; time=0:11:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 periodicity=0 center-mag=-1.250229217708301/+0.01137634927677889\ /6.17e+010/1/-155/0 params=0/0/0/0/0.248/0/1e-100/0 float=y maxiter=12000 inside=0 mathtolerance=0.05/1 colors=000l6cl7_n8Wn9ToBPoCMoBJpAGl8Cf54`2DV2BM08F\ 27867jCGlKDoTAs_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\ PFMMDIKAEH9CF69E46C35B24A038028027016004003003008C\ 6GbEOzObrNwfO0W00S30P70MB0IG0HM0FS1EZ2De3Cn4Av5Az4\ Aj7AWBBIEBAME1SF0ZI1WF0UE1RD8PBGMAPNA`SDdVGg_IlcMn\ fNrlRvpTztXzyZzzazzczkWvSPeCHS8DE6B54A03800S13nG4r\ L7sNIvSUwXfzaalOZ`DZS5YT8YUCWUGWWKVYPWYTYZYzXmwOnw\ IovCpv7rN3l22g32e77eCLeHVdO_dTedZkbbpbisgqsisrwosj\ jtNgrE`p4Ym3Wj2Vd2UZ1UU0SR3SN6SJASGESDHRAKR6OR3SS1\ YS1`Q2eO5lN8rMBwMEzMGwOIvOKsPMrQNnRQlSRjSUgUVdVXbV\ X`WZZWZZ_`__`W``VdcSgcRldOoeN```ScoIezDWn9MU6ED370\ 120000000000000000000000002004006OBPzlqzhqvdpn_oiX\ rcUsYRsSOvMLwHIzCFz8Dz5Az4Bw4Ar3Bl2Be1C`0CW0DR0EM0\ EH0FDAO7PW1ec2dU2bL2`D1Z61Y11P60IC0CK09W06e44r7Kw4\ ez5az5Xw4Uw4Sv4Os5Ls7L3oN4rQ4sS4sT4sU4sW4sX4sY4r_4\ ra3oa3oc3ne3nf3lg3jj4hl5f } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 26-03-14 (The Eighth Dimension [A-6,M-8])
by Jim Muth 28 Mar '14

28 Mar '14

FOTD -- March 26, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image is a simple scene deep in the northern branch of Scepter Valley of the Mandelbrot set. But this parent Mandelbrot set is not your everyday Mandelbrot set. It is a slice down the middle of a four-dimensional HyperMandelbrot set. As long as the real(p3) parameter in the generating formula remains at zero, the parent fractal is the M-set. But when the value is changed, strange things begin to happen. Tomorrow's image will show the beginning of the strangeness. The name of the image, "The Eighth Dimension", indicates that the scene is a slice through an 8-dimensional Julibrot, which will become apparent in the images to follow. The artistic rating of a 6 is what the image itself is worth, since despite the hype, it is simply a scene in the Mandelbrot set. The math rating of an 8 shows that some quite unusual mathematical things are to come. The calculation time of 6-1/2 minutes is rather slow. Luckily, the web sites can speed up things significantly. 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> The day began with a snow flurry here at Fractal Central, which dropped a full 1/2cm 1/4-inch of snow. By late morning the clouds blew away, leading to a sunny but blustery afternoon with a high temperature of only freezing. The fractal cats enjoyed the afternoon sun on their shelf, while the fractal humans wondered when the spring greenery would appear. The next FOTD will be posted in 24 hours. Until then, take care, and become one with the numbers. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheEighthDimension { ; time=0:06:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.250229217708301/+0.01137634927677889\ /6.174502e+010/1/-155/0 params=0/0/0/0/0/0/1e-100/0 float=y maxiter=12000 inside=0 periodicity=0 colors=000l6cl7_n8Wn9ToBPoCMoBJrAGo8Ck59j2Ii2Lg2Pg\ 2Kh6HjCGlKDoTAs_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\ PFMMDIKAEH9CF69E46C35B24A038028027016004003003008C\ 6GbEOzObrNwfO0W00S30P70MB0IG0HM0FS1EZ2De3Cn4Av5Az4\ Aj7AWBBIEBAME1SF0ZI1WF0UE1RD8PBGMAPNA`SDdVGg_IlcMn\ fNrlRvpTztXzyZzzazzczkWvSPeCHS8DE6B54A03800S13nG4r\ L7sNIvSUwXfzaalOZ`DZS5YT8YUCWUGWWKVYPWYTYZYzXmwOnw\ IovCpv7rN3l2Ic3Mh7QmCUrMZvUcz`ezcizgmzkqzotzqzzpyo\ nzgizEds4Yo3Wj2Vd2UZ1UU0SR3SN6SJASGESDHRAKR6OR3SS1\ YS1`Q2eO5lN8rMBwMEzMGwOIvOKsPMrQNnRQlSRjSUgUVdVXbV\ X`WZZWZZ_`__`W``VdcSgcRldOoeN```ScoIezDWn9MU6ED370\ 120000000000000000000000002004006OBPzlqzhqvdpn_oiX\ rcUsYRsSOvMLwHIzCFz8Dz5Az4Bw4Ar3Bl2Be1C`0CW0DR0EM0\ EH0FDAO7PW1ec2dU2bL2`D1Z61Y11P60IC0CK09W06e44r7Kw4\ ez5az5Xw4Uw4Sv4Os5Ls7L3oN4rQ4sS4sT4sU4sW4sX4sY4r_4\ ra3oa3oc3ne3nf3lg3jj4hl5f } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 25-03-14 (Lofty Aspirations [A-8,M-7])
by Jim Muth 25 Mar '14

25 Mar '14

FOTD -- March 25, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's scene lies at the eastern edge of the blade of the prominent 'fan' in the oversized parent fractal that results when 11 negative parts of Z^(-1.1) are combined with 1.1 negative parts of Z^(-11.1) and (1/C) is added on each iteration. The name "Lofty Aspirations" can mean whatever the individual fractalist wishes. To me it represents the endless search for better fractals. The art aspect of the image is worth an exceptional 8, mostly due to the brilliancy of the image. The math rating of a 7 is still above average, though held down by over-use. The calculation time of 4-1/4 minutes borders on slowness. A quick trip to the web sites can speed up things notably however. Enjoy 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> Light snow fell all day today here at Fractal Central, but with the temperature hovering just above freezing, it did nothing more than wet the sidewalks. The fractal cats took one quick glance outside and decided to catch up on their sleep. The humans, who are already caught up, spent the day wondering when spring will arrive. The next FOTD will most likely be posted tomorrow. Until then, take care, and even the person beside you could be a Boltzmann brain. This is scary enough, but what if I am nothing more than a lonely Boltzmann brain floating in an infinite and timeless space of maximum entropy? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Lofty_Aspirations { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+4.71691044048/-0.18503827863/6.06e+007\ /1/-110/0 params=-11/-1.1/-1.1/-11.1/0/500/0/0 float=y maxiter=2100 inside=0 logmap=282 periodicity=6 colors=0006Nc6Nb6Na6N`6N_6NZ6NY6NX6NW6NV6NU6NT8NS9\ NRBNQ8NQ4NO3NO0NN0NN0NL0NL0NJ0NJ0NI0NI0NI0NJ0NJ0NJ\ 0LL3JL6ILBGLGENJDNOBNS9NX8Ob6Oe4Ok3Qp2Qt0Qz0Qz0Sz0\ Sz0Sz0Sz0Uz0Wz2Xv3Zp6`k9beDd`EeWIgQLiLOkGQmBUn6Xp2\ bt3Zp3Wn3Uk4Qi4Ne4Ld4I`6GZ6DW69U88Q84O83L80J90G90E\ B0DD0BE09G06I04J03L02N00O00Q00S00U00W00W00U00Z0066\ 0D0366XO0Q80JW0DS06b00e00p00r04t69vEGxLLzUQzbXzibz\ egzzmzikzdkxUkvLkxOgzQezSbzU`zWXzXWz`UzbQzdOzeLzgJ\ ziGzmEznDzp9zr8zt4zv3zz3zx2zt2zp2zm0zg0zd0z`0zX0zU\ 0zO0zL0xI0vE0t90r60p30n00m00k00i00g00e00e00`00X00U\ 00O00L00I40D909D06E02G00I00J00L00N00Q00U00X00`03b0\ Bd0Ie0Og0Wi0dk0km0rn0tpKvrZxthzvrzxzzvzzrzvn3tk6tg\ 9tdDreIrgLpiOpkSpmWnnZnpbmremtimvkmxmizigzgdzebzd`\ zbXz`dzddzddzddzddzddzddzddzdvzvvzvvzvvzvvzvvzvvzv\ vzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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, 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 24-03-14 (Crispy Critters [A-7,M-6])
by Jim Muth 24 Mar '14

24 Mar '14

FOTD -- March 24, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when the expression Z^(2.02)+C is iterated 1/10 of one step down the hyperladder with no function applied. This parent is basically a Mandelbrot set with its main bud split into two parts. Today's scene lies in the spike extending from the northern half-bud, which has degenerated into an area of chaos. The name "Crispy Critters" has little connection to the image. I simply thought it sounded rather catchy. The art rating of a 7 indicates that IMO the image is somewhat above average. The math rating of a 6 shows that we have been here several times before. The calculation time of a speedy 45 seconds will leave little time wasted if dis-satisfaction arises. A check of the web sites will always assure satisfaction however. The finished image is available 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> Puffy clouds decorated the sky here at Fractal Central today, but the morning temperature of a chilly 18F -8C kept thoughts of spring at bay. The fractal cats had an average cat day, as the humans did also. The next FOTD will be posted soon. Until next time, take care, and don't be worried if you just don't get it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Crispy_Critters { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.570274703396159/+0.06513374099477261\ /2.257364e+008/1/160/0 params=2.02/0/-0.1/0 float=y maxiter=1300 inside=0 logmap=74 periodicity=6 colors=0006XwAXuAWqAVmAUgASbAQ`AOYAMWAKUAITBGPCFMD\ ELEDKFBID9HB7F95D73A527414302200dA9eEEfHIgLNgORhSW\ iV_jYijbpkizlnzmrzmrznrzorzppzpozqkzrjzsizsizthVuh\ SvgOvfLwfHxeExeBugFrhIpiLfZWXPfOFpQHmRIkSKiTLgUNeV\ OcWQ`XRZYTXZUV_WT`XRaYPb_NbaMccKdfJehHejGflEgnDhpB\ hrAgsBgsCgtDftEftFfuGeuGeuGevHevIdvJdwKdwLcxLcxMcx\ NcyObyPbzQbzRazRazSazT`zU`zV`zW_zW_zX_zYZzZZz_Zz`Z\ zaYzaYzbYzcXzdXzeXzfWzfWzgWzhVziVzjVzkawO_wSZwWYw_\ XwcWzgfw5ew8dwBcwEcwGbwJawM`xO`yR_zUZzWYwZYwamwcmw\ fmwimw4mw6mw7mw8mwAmwBmwCmwEmwFmwGmwHmwJmwKmwLmwNm\ wOmwPmwQmwSmwTmwUmwzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 23-03-14 (The Stars of Dawn [A-8,M-7])
by Jim Muth 23 Mar '14

23 Mar '14

FOTD -- March 23, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in a parent Mandelbrot set that is distorted almost beyond recognition by Z^(1.5) energies. The infecting energy has split the M-set into a heart-shaped main bay with large period-2 buds decorating the north and south sides of the bay. The entire perimeter of the main bay west of the two large buds is chaotic, lined with smaller buds of no recognizable periodicity. Today's scene lies in the total chaos near one of these chaotic-period buds. The name "The Stars of Dawn" reminds me of a scene in Dante's Divine Comedy, where the saved soul ascends beyond the planets and stars on its way to heaven. The deep blue background of the image could easily represent the celestial heights. Due to the intense colors, the art aspect of the image rates an excellent 8. The math aspect comes in at a 7, since the math trick is not all that new. The calculation time of 1-1/4 minutes makes the image a bargain. The web sites can make the bargain simpler to view. Don't forget 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> A layer of clouds hung over Fractal Central most all day today, with brisk winds and a temperature of 37F +3C making it feel like winter had returned. The fractal cats spent the day waiting for the sun to shine, but were disappointed. The fractal humans spent a couple hours watching the news on TV and wondering how much of it is fiction perhaps occasionally based on real events. The next FOTD will be posted, and that is no fiction. The exact time is still in doubt, but it will be in a day or two. Until whenever, take care, and they tell me that God sends good guys to heaven and bad guys to hell. But on what aspect of their lives does He make the final decision? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Stars_of_Dawn { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.233901451607335/+0.3558957888158806/\ 2.224302e+011 params=1.5/-1/1000/0 float=y maxiter=1200 inside=0 logmap=132 periodicity=6 mathtolerance=0.05/1 colors=00000m00h00c00Z20U40Q60M80IB0HD2ED2Cxzzmkzh\ fIcO454D4Cf4KzBKgJ7MT05`00_00Y50YF0WT0Wf0Uw0Uz0Iz0\ 7z00w00s00p05m0Kh1Uc6cZBmUGmZMmcRkhWik_tndzsozzzTd\ bITT8IJ2ACzzUzzWuzYoz_iz`dyb_wdUsfQqfTodO03Q06T0BU\ 0FW0JY0O`1Ub2_d2df3ig3omImq_kuuiyzgikRWKDJ23Km3Uz3\ KzACzI6zR0z`0zk0zw0yq0mk0bf0T`0JW0BR4Ju05J00000000\ 400A01G13O34WC5UM5T_5Rk6Qz6Oz6OwFKfOIRYFDgDAd87b54\ _12Y00W06T4CQDJOQTKb`IqiGz0RC0UK0YU2_b5bmAfyDgzBds\ A`d7YR6WF4T53Q02O06T0AY0Fb0Jg0Om0Us1_y3dz5dMId0W`4\ b_IiY_qWsyUzzUzzUozUdzUUyUKwUDwMCsFBq8Am3Ak08g07f0\ 7d0IY6URIfMi_izUzz_sqdffiTWmIMs7Dy06z0Aw0Dq3Ik8MfF\ R`MWWU`R`zQwzKzzGzzCzz8zz5zz2zw5zq7zkAufCo`GgWJ`RM\ UMQQRJ_WFg_Bqd7zg4zk5zo5zs6zw6zz7zz7zz7zzGzzRzzbzz\ ozzzzzzzzzozzYzzGzz4zz0zz3zzDzzRzzfzzuzzizz`zzRzzJ\ zzRzzYzzdzzkzzizzizzizzgzzgzzgzz_zzRzzJzzCzz7zz6zz\ 6zz5zz5zz4zz4zz3zz3zzKzzg } 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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