FOTD 25-01-11 (Hidden Minibrot [9])
FOTD -- January 25, 2011 (Rating 9) Fractal visionaries and enthusiasts: Things were quite busy again here at Fractal Central on Monday, which left little time for an intensive fractal search, but the war-horse Mandelbrot set again rushed to the rescue with an infinitesimal minibrot in the East Valley of a larger but still infinitesimal minibrot at the tip of the main spike. Images of minibrots near the tip of the main spike are common, but today's image is colored well enough to raise the image to a superlative 9. And most surprising, the colors were created with a tap of the <enter> key and only a few small tweaks by the human fractal tapper. Way out here on the spike, the bailout radius has a great effect on the appearance of the image. Raising the bailout of today's image to 10 totally destroys the artistic effect. (Lowering it to 3 is even worse -- the image vanishes.) The name "Hidden Minibrot" is not the name of an upcoming Chinese movie. It refers to the minibrot at the center, which does not become visible until a magnitude of 10^100 is reached. Actually, I have already been down there, and can report that the minibrot has potential. One thing that could be improved is the calculation time of today's image, which at 1/2 hour, is inconveniently long. But, considering the image's magnitude of over 7*(10^93), this is not unreasonable. The calculation may be forgotten by viewing the finished image on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> but before going there, allow a short time for Hal to calculate and post the image. The traditional FOTD web site is available at: <http://www.Nahee.com/FOTD/> Those wondering when my own FOTD web site will be up and running will be disappointed by the news that, due to the heavy graphic design work, we made no further progress on Monday. The temperature rose from a very cold start of -4F -20C to a not very balmy afternoon max of 19F -7C here at Fractal Central on Monday. The day began sunny, but by midday the clouds moved in, with a forecast of light snow to come at night. The fractal cats were disappointed when the sun failed to reach their window shelf before the clouds arrived, but they found comfort on the shelf by the heat. As reported above, my day was very busy. FL's day was even busier. The next FOTD will be posted in 24 hours. Until then, take care, and try to keep your fractal politically correct. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= Hidden_Minibrot { ; time=0:30:33.42-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.9999\ 99999999995570588474637616346760358903286522128797\ 5190794248519602192032643927978653766431435/0/7.09\ 7126e+093 params=0/0 float=y maxiter=12000 inside=0 colors=000SegQciPbjOakN`lM_nLZoKXpJWqIVsHUtGTuFSvE\ BIHDLKEONFROGSPHTQIU00URKWS0XTKYT0ZUO_VP`VQaYUYaYU\ wdppcgjbZdaQZ`HDT4LX7T`9`dBhhEplGxoIczERfK6`jFLPzz\ ce_CazfN63SBAWGH_DF_LN_SV__b`ij_fi_di_bhZ`hZZgZXgb\ Qm`TjZVgYYdW_aUbZTdWRgTXZGMhOLkLJnIIqFGtCFw9Ez6Mp7\ Tf7_X8fN8mD9t49r5Cq5Fp6Ho6Kn6Nm7Pl7Sk7Vj8Xi8_h8bg9\ df9ge9iUaOIz2Ty9czGnqNxmTnePdYLVQILIEBABR_GSaKSbOT\ cSTdVUeZUfbVgfVhi_ghdfhiehnehhajcZlZVnTSpOOrJLtEIu\ JOpOUlTWhYYdbk`gqXlzTmtWnrYnp_onapldpjfqhhqfjndkkb\ liamf_ndZoaXp_WqXUrUSsSRtPPuNOvKMwKMwFJUDIUFMUHPUJ\ TULWUN_SPbLQiDNeDLaEJUEGPFEMGCKGAIH7HI5GI3FJ1EJ30F\ 50B708A07C07EA6GF6JG6LI5NJ5PL4SM4UN4WP3YQ3_R3`NJaJ\ YaGlcHjdIheIffJdhJbiK`jK_kLYmMWpMUrNStNQvOOxONzY`m\ hmsghd_bX40O40G40840ZJEXHDSFDZDCeBBlKBsUAzcAuUEoKI\ jAMdCQ_ETVFbRHrMJzIKzKMzMOzOQzQSzSUzUVzWXzYZz_`Uab\ ObcMmWLzOLzGKz9KzdWze_zec } END PARAMETER FILE=========================================
----- Original Message ----- From: "Jim Muth" <jamth@mindspring.com> To: <fractint@mailman.xmission.com> Sent: Monday, January 24, 2011 7:31 PM Subject: [Fractint] FOTD 25-01-11 (Hidden Minibrot [9])
Those wondering when my own FOTD web site will be up and running will be disappointed by the news that, due to the heavy graphic design work, we made no further progress on Monday.
It's to be sincerely hoped that this web site prooves to be more tangible than the FOTD DVD! :-) Or is the probability of this occurence somewhat less than two other events I have heard of this past week. 1. That a mathematician has found a means of incorporating gravity with the other fundemental forces to form the elusive "Theory of Everything". I hadn't noticed. 2. Two Italian researchers have created cold fusion energy, (no, not THOSE two). Wiil be on the market within months. Anyone buying shares in the manufacturing company? Stirring times we live in! John W.
The name "Hidden Minibrot" is not the name of an upcoming Chinese movie. It refers to the minibrot at the center, which does not become visible until a magnitude of 10^100 is reached. Actually, I have already been down there, and can report that the minibrot has potential.
Another great image Jim thanks for posting it. I did some exploring in the image and I noticed there was an interesting looking spot in the middle of each "dog paw". By dog paw I mean one of the eight things radially around the center at about half the distance from the center to the edge. I zoomed in on this point and sure enough there was eventually a minibrot there too. This minibrot was much deeper than the one at the center of the original image and was at a zoom of 6e140. While zooming in, I saw the same radial dog paw feature similar to the original image repeat a few times but I also saw another form that was interesting. This other form looked somewhat like the center flower but radially repeated around the center. This feature appeared twice that I saw. Once with two radial and once with four radial flowers. The four radial flower case was at a zoom of about 4e129. Here is a link to the image I saw and the parameter file if case anyone would like to draw it. http://web.me.com/gigagraphica/fimage/hm_nne_4f_640_2.jpg HM_NNE_4F { ; Exported from Fracton. ; Pan zoom of Jim Muth's FOTD for Jan 25, 2011 ; Four radial flower structures ; Time= 8 min 30 sec at 640x480 with no aa ; on a Mac Pro 2 x 2.8 GHz Quad-Core Xeon reset=2004 type=mandel passes=1 float=y center-mag=-0.199999999999999557058847463761634676\ 03589032865221287975190794248519602192032643927978\ 65376643116130105709369624387184033914204596458515\ 20514357068914437e1/0.6630176288067109207228491501\ 35614581281374177036634497680988945568125312580901\ 20173145399514382361392341899625563996837845746132\ 8899124740897907243244464e-94/4.102564153846154e+1\ 29/1/0/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=35000 inside=0 colors=000SegQciPbjOakN`lM_nLZoKXpJWqIVsHUtGTuFSvE\ BIHDLKEONFROGSPHTQIU00URKWS0XTKYT0ZUO_VP`VQaYUYaYU\ wdppcgjbZdaQZ`HDT4LX7T`9`dBhhEplGxoIczERfK6`jFLPzz\ ce_CazfN63SBAWGH_DF_LN_SV__b`ij_fi_di_bhZ`hZZgZXgb\ Qm`TjZVgYYdW_aUbZTdWRgTXZGMhOLkLJnIIqFGtCFw9Ez6Mp7\ Tf7_X8fN8mD9t49r5Cq5Fp6Ho6Kn6Nm7Pl7Sk7Vj8Xi8_h8bg9\ df9ge9iUaOIz2Ty9czGnqNxmTnePdYLVQILIEBABR_GSaKSbOT\ cSTdVUeZUfbVgfVhi_ghdfhiehnehhajcZlZVnTSpOOrJLtEIu\ JOpOUlTWhYYdbk`gqXlzTmtWnrYnp_onapldpjfqhhqfjndkkb\ liamf_ndZoaXp_WqXUrUSsSRtPPuNOvKMwKMwFJUDIUFMUHPUJ\ TULWUN_SPbLQiDNeDLaEJUEGPFEMGCKGAIH7HI5GI3FJ1EJ30F\ 50B708A07C07EA6GF6JG6LI5NJ5PL4SM4UN4WP3YQ3_R3`NJaJ\ YaGlcHjdIheIffJdhJbiK`jK_kLYmMWpMUrNStNQvOOxONzY`m\ hmsghd_bX40O40G40840ZJEXHDSFDZDCeBBlKBsUAzcAuUEoKI\ jAMdCQ_ETVFbRHrMJzIKzKMzMOzOQzQSzSUzUVzWXzYZz_`Uab\ ObcMmWLzOLzGKz9KzdWze_zec } If you want to see the final minibrot you can change the zoom to 6e140. The two radial flower case was at a zoom of 5e117. I was going to make a deep zoom movie of this but it would have taken weeks of computer time to render enough anti-aliased frames to make it interesting. -- Mike Frazier www.fracton.org
participants (3)
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Jim Muth -
juanw@shaw.ca -
Mike Frazier