FOTD 05-07-11 (Challenger Fractal [7])
FOTD -- July 05, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal image is a scene deep in East Valley of the large minibrot on the negative spike of the Mandelbrot set. And when I say deep, I mean deep. With a magnitude of over 10^96, the image is one of the deepest I have ever found. It is so deep in fact that the features are unfamiliar, though the typical East Valley goofy eyes are apparent. Yes, there is a minibrot at the center. I have not yet been down there, and due to the time factor might never go there, but if someone with a super-fast machine feels tempted to see what lies much deeper in today's image, you have my blessings. Unfortunately, the extreme depth also makes the image one of the slowest. The calculation time of over 2-3/4 hours will try the patience of even the most patient fractalist. This is where the FOTD web site comes to the rescue however. The finished image is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> It is, or soon will be posted in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the original FOTD web site at: <http://www.Nahee.com/FOTD/> Monday proved to be a rather pleasant and typical Independence Day here at Fractal Central in central Pennsylvania. The koda- chrome blue skies and cottonpuff clouds simply begged to be photographed. (Even though the old Kodachrome film is gone, the sky is still blue.) The temperature of 84F 29C was warm enough for swimming, while the humidity was low enough for comfortable outside activities, and the dry weather was perfect for the evening fireworks. The fractal cats do not like independence day. The bangs of exploding firecrackers had them on edge most all day, and when dusk came and the explosions picked up, the dynamic duo took shelter in the bedroom until the noise settled down. Meanwhile, FL and myself had an uneventful day. Unless something unex- pected turns up, the next FOTD will be posted in 48 hours. Until then, take care, and with civilization on the brink of collapse, I wonder whether its replacement will be worse or better. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Challenger_Fractal { ; time=2:46:45.77-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.749879763723303625053154128808566087\ 33087068131509407390221609977764152792206339038580\ 35532704313692/3.711275390023365538060136900393279\ 23739521658716180513365112109254521643684694156138\ 251e-15/1.208835e+096/1/-112.5/0 params=0/0 float=y maxiter=10000 bailout=25 inside=0 colors=000QDXPCWOBWNAVNAVM9UL8UK7TJ7SJ6SI5RH5RG4QF\ 3PF2PE2OD1OC0NC0NE1PF1RH1TI1VJ1XL1YM1_N1aP2cQ2eR2g\ T2hU2jV2lX2nY2p_1rZ2qZ3pY4oY5nX6mX7lW8kW8jV9iVAhVB\ gUCfUDeTEdTEcSFbSGaRH`RI_QJZQKYQKXPLWPMVONUOOTNPSN\ QRMRQMRPMSOLTNLUMKVLKWKJXJJXIIYHIZGH_FH`EHaDGbCGbB\ FcAFd9Ee8Ef7Dg6Dh5Dh4Ei5Fi6Gi7Hj8Ij9JjAKkBLkCMlDNl\ EOmFPmGPmHQmIRmJSmKTmLUmMVm`Um_TmZSmZRmYRmYIzPKzPM\ zONzOSzNXzNazNfzNkzMpzMuzMzzMvzNrzOnzPjzQfQRcSS_UT\ WWUSYVO_WLaXHcYDeZ9g_5i`2k`3gX3dU4`R4YN5UK5RH6ND6K\ A7G77D4CGAGJFKLKOOQSRVXT_`WddZjh`olctoeymeykfxifxg\ gwegwchvahuZitYjsWjrViqVfpVcoV`mVYkVViVSgVPeVMdVJb\ VG`VDZVAXV7VV5UW6TX6SY6SZ6R_7R_7Q`7Qa7Pb8Pc8Oc8Od8\ Ne8Mf9Mg9Lh9Lh9KiAKjAJkAJlAIlAIlcCi_EfXGcTH`QJYMLV\ JMSFOPCQM8RJ5TG2UF6TE9TDDTCGTCKTBNTART9US8YS8`S7dS\ 6gS5kS5nSBmUHmWNlYTl_Zkadkcjjepjgvjhplgjmgdof_pfUr\ eOsegYTgZUh_WiaYjb_kc`leb } END PARAMETER FILE=========================================
Thats a nice fractal Jim, thanks for posting it. The coloring is excellent as well. For such a deep fractal the number of arms stays reasonable until the end. I zoomed in all the way to the minibrot at a magnification of 1.1e+107. The minibrot is hard to display in a small image. To give a fair representation of the deepest zoom it would have to be rendered at a huge size with lots of anti-aliasing. At maximum depth it draws about 3 times slower than the original. Here is an image of the minibrot: mag = 1.1e+107 http://dl.dropbox.com/u/33642054/image/cf107_640_2.jpg Here are a few interesting shallower zooms: mag = 1.3e+100 http://dl.dropbox.com/u/33642054/image/cf100b_640_2.jpg mag = 2.1e+101 http://dl.dropbox.com/u/33642054/image/cf101_640_2.jpg There was also interesting stuff at mag = 7.7e+97, 3.1e+98, 2.7e+99, and 8.9e+104. Here is the par file for the deepest zoom. It has an accurate center positon that will work for the other magnifications. I had to increase the max iterations but nothing else should be changed. CF_Minibrot { ; Exported from Fracton. ; Zoom to minibrot of FOTD for July 5, 2011 ; Challenger_Fractal by Jim Muth reset=2004 type=mandel passes=1 float=y center-mag=-0.174987976372330362505315412880856608\ 73308706813150940739022160997776415279220633903858\ 03553270431371319773948602672872984595e1/0.3711275\ 39002336553806013690039327923739521658716180513365\ 11210925452164368469415613812000217407767078194902\ 51153806663796675e-14/1.137777792e+107/1/-112.5/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=250000 inside=0 bailout=25 colors=000QDXPCWOBWNAVNAVM9UL8UK7TJ7SJ6SI5RH5RG4QF\ 3PF2PE2OD1OC0NC0NE1PF1RH1TI1VJ1XL1YM1_N1aP2cQ2eR2g\ T2hU2jV2lX2nY2p_1rZ2qZ3pY4oY5nX6mX7lW8kW8jV9iVAhVB\ gUCfUDeTEdTEcSFbSGaRH`RI_QJZQKYQKXPLWPMVONUOOTNPSN\ QRMRQMRPMSOLTNLUMKVLKWKJXJJXIIYHIZGH_FH`EHaDGbCGbB\ FcAFd9Ee8Ef7Dg6Dh5Dh4Ei5Fi6Gi7Hj8Ij9JjAKkBLkCMlDNl\ EOmFPmGPmHQmIRmJSmKTmLUmMVm`Um_TmZSmZRmYRmYIzPKzPM\ zONzOSzNXzNazNfzNkzMpzMuzMzzMvzNrzOnzPjzQfQRcSS_UT\ WWUSYVO_WLaXHcYDeZ9g_5i`2k`3gX3dU4`R4YN5UK5RH6ND6K\ A7G77D4CGAGJFKLKOOQSRVXT_`WddZjh`olctoeymeykfxifxg\ gwegwchvahuZitYjsWjrViqVfpVcoV`mVYkVViVSgVPeVMdVJb\ VG`VDZVAXV7VV5UW6TX6SY6SZ6R_7R_7Q`7Qa7Pb8Pc8Oc8Od8\ Ne8Mf9Mg9Lh9Lh9KiAKjAJkAJlAIlAIlcCi_EfXGcTH`QJYMLV\ JMSFOPCQM8RJ5TG2UF6TE9TDDTCGTCKTBNTART9US8YS8`S7dS\ 6gS5kS5nSBmUHmWNlYTl_Zkadkcjjepjgvjhplgjmgdof_pfUr\ eOsegYTgZUh_WiaYjb_kc`leb } -- Mike Frazier www.fracton.org
I did some more exploring in the Challenger_Fractal. I zoomed into the green area at the tip of the arm near the top of the image. It repeated all the features of the original before finally adding an oval with copies of the 8 arm structure of the original. The fractal was much deeper than I expected with the minibrot eventually appearing at a magnification of 1.8e+189. A shallower zoom showing satellites of the 8 armed structure is shown in the following image: mag = 1.2e+166 http://dl.dropbox.com/u/33642054/image/cfa166_800_2.jpg The center and magnification coordinate description for the image is: center-mag=-0.174987976372330362505315412880856608\ 73308706813150940739022160997776415279220633903858\ 03553270432026252145276865646184788985041474826487\ 5230662472716573493883670530889874615869682882e1/0\ .3711275390023365538060136900393279237395216587161\ 80513365112109254521643684694156126346928237111515\ 21680662782872650131060679148775047292959860454283\ 889742855395669755029050195056087e-14/1.2121212272\ 72727e+166/1/-112.5/0 maxiter=20000 -- Mike Frazier www.fracton.org
Gorgeous. Thanks much. On 10 July 2011 20:26, Mike Frazier <fractonorg@gmail.com> wrote:
I did some more exploring in the Challenger_Fractal. I zoomed into the green area at the tip of the arm near the top of the image. It repeated all the features of the original before finally adding an oval with copies of the 8 arm structure of the original. The fractal was much deeper than I expected with the minibrot eventually appearing at a magnification of 1.8e+189. A shallower zoom showing satellites of the 8 armed structure is shown in the following image: mag = 1.2e+166 http://dl.dropbox.com/u/33642054/image/cfa166_800_2.jpg The center and magnification coordinate description for the image is: center-mag=-0.174987976372330362505315412880856608\ 73308706813150940739022160997776415279220633903858\ 03553270432026252145276865646184788985041474826487\ 5230662472716573493883670530889874615869682882e1/0\ .3711275390023365538060136900393279237395216587161\ 80513365112109254521643684694156126346928237111515\ 21680662782872650131060679148775047292959860454283\ 889742855395669755029050195056087e-14/1.2121212272\ 72727e+166/1/-112.5/0 maxiter=20000 -- Mike Frazier www.fracton.org
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participants (3)
-
Jim Muth -
Mike Frazier -
Tony (Anthony) Hanmer