FOTD 05-09-03 (A Very Deep Midget [5])
FOTD -- September 05, 2003 (Rating 5) Fractal visionaries and enthusiasts: The work was still hectic here at Fractal Central on Thursday, but things calmed enough in the afternoon for me to post a short reply to the list and find an 'automatic' fractal in the Mandelbrot set. Today's image takes us where many have ventured previously -- to the tip of the negative stem of the Mandelbrot set. And when I say the tip, I mean the tip. The magnitude of the image is 3x10^58, and there are 29 consecutive 9's following the 1 and the decimal point in the X-coordinate of the scene. Since the cut-off point is set to 2, today's image is almost exactly on the cut-off point. The rays radiating from the central midget are a direct result of its being so close to the cut-off point. The image rates only a 5, held down by the hackneyed nature of the area in which it lies. Fresher scenes might be found at the tips of some of the other filaments, especially near the cut-off points. I named the image "A Very Deep Midget" as a description. It is certainly a fair name, because, unless I am mistaken, the scene is the second deepest of all the FOTD images. The render time of 19 minutes is quite fast for such a high magnitude image calculated with arbitrary precision math. The X-axis symmetry helps a lot here. Whether the result is worth the wait is open to individual opinion. My opinion is that a more reasonable method of viewing the scene would be to download it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Though the temperature on Wednesday reached a very comfortable 77F 25C, it was another disappointing day for the cats here at fractal headquarters. The sprinkles that fell off and on through the entire day culminated in a torrential downpour at 7pm, accompanied by thunder. But by that time the cats had already given up all hope of outdoor fun and satisfied them- selves with a tuna treat. When an even stronger storm arrived around midnight, they watched the rain cautiously, until a close lightning strike and a loud bang of thunder sent them scurrying for cover. Thursday began with steady rain, which ended at midday, leaving the skies leaden gray for the rest of the day. The temperature of 75F 24C was fair enough, but fractal cats need dry grass in which to romp, so more tuna was needed. Today is starting much better. It is sunny, cool and dry. Can the dynamic duo actually have a good day after a long string of bad ones? Check back tomorrow to see. As for me, the load of work is still heavy, so I'd best get busy. Until tomorrow, take care, and keep your spirits up when the rain comes down. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Very_Deep_Midget { ; time=0:19:23.10--SF5 on a p200 reset=2002 type=mandel passes=1 center-mag=-1.9999\ 99999999999999999999999997080345601743762432509639\ 57868601/-1.6623896e-61/3.139258e+058 params=0/0 float=y maxiter=1500 inside=0 symmetry=xaxis periodicity=10 colors=000iHpmEorBnv8mvMgvZbvkXvxSp\ lWka_eQc`FgW4k`9adESiAGn75q3GlCMgKSYSYR`cLhiEpo8pu\ DoiHkiKk7MmDPqJRtPTyUhxFxr0vkCqcOe_TibXmg`qfdhda`Y\ ZTUWLATD1RM6OVBMjGKtLIzYGaN89517746874993AC2BE8EFD\ HGJKHONITQJZTKcWLhZLeVQcRV`N_ZKdWGiUCnR8sP5xHYyYdR\ dTPkINP_K2qI7jMCdPHZSMSVRMYWG``AcfDdlFeqHekNaeSY_X\ VUaROfNIkKHfNGaPFXRFSTENVDIXDEZkEUfCYbB`ZAcV9fQ7iM\ 6lI5oE4rCBnBIjAPf9Wb8bZ6dS4eM3gF1h90i37aMDVcJOuQHd\ XBPb9Vh7_n6dt4iy3nd7qLBt1Fw6MpATiE_bJfXNmQRtJVzDPq\ NKhWF`eASn5Kw7Il8Ha9FRAEGBD5DG6EI6FK7GM7HO8IQ8HRBH\ SEHTHHUKHVNKSNMPNPMNRKNTHNWENYBN_9NfT_`PWWLSRHOMDK\ H9GC5C71969H6GO5NW5Vb4aj4hq4oxBmtIlqPknVjkahhhgeof\ bue_tiXsmUsqStlOugKvbGwZCxU8yP4zL1pW3fe4Xo6Oy7AkoB\ UYnhTVTMl6vb8kUA`KCQLpcHbWEQOc3GU7GKAG5sY8YPkwYakT\ T_PKOKzvwNm8KcAHVCEMEmzVUaNgOaRIRtxqdhdQTSFBHDCGeD\ pQDYn`9`TCOLEZksv2kZ8WaDTVDPODMHDJdKr107 } END PARAMETER FILE=========================================
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Jim Muth