FOTD 10-11-08 (Mandel What is It [No Rating])
FOTD -- November 10, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's image shows a minibrot on the eastern side of the north branch of Seahorse Valley of the Hyper-Mandelbrot set. So far, so good. We've seen many minibrots in Seahorse Valley. But today's minibrot is truly different. It is not empty on its inside. Instead of the expected blank interior, the minibrot is filled with a spidery network of very high iteration arms. The image was created by the HyperMandelbrot formula, which is a generalization of the type=hypercomplex formula. I am not sure if the arms inside the minibrot are real or if they are arti- facts, since it seems quite unlikely that a value as tiny as the 10^-150 of the real(p3) parameter could make such a difference in the appearance of a minibrot. But there it is in the image, and it behaves as though it is real. I named the image "Mandel What is It" but gave it no rating. It's kind of hard to give a name to something I know nothing about. The calculation time of 4-1/4 minutes will cause no pain. The finished image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Brisk winds, dark gray clouds and a chilly temperature of 48F 9C made the outdoors unpleasant here at Fractal Central on Sunday. The fractal cats complained about the failure of their afternoon sun to appear. My day was uneventful, which is how I wish more days would turn out. The next FOTD will be posted in 24 hours. Until then, take care, and do it quickly. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Mandel_What_Is_It { ; time=0:04:15.44-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.748577741895/+0.06049221491/1466442/\ 1/-57.5/0 params=0/0/-4.6/0/1e-150/0 float=y maxiter=1500 inside=0 logmap=-464 periodicity=0 colors=000PcCPc9Pc8OY7FK66546C9PSwPUxVVs_WneXjjXep\ YauZXzZTraXkd`cfdXigPlkInoAqs3sv4ba4MH7RN6RV4Rb2Rj\ 0QsLNseJteOoeTjeYeeb`egWfmRYhNOcIEZE4U9AQIGMRMH_SD\ hY8qUFrPNsLVtGbuCjv7rw2zx9iwGTuOCsMLfKVUHdGF_FDVDB\ QC9LA7G95B7265B7ML8cIDbEIaAO`6T_2ZZ9V_GQaNMcUHd7jm\ DkhIldOn_UoVZpRYjVXeZW`bVWfURjTMmjxYbn_WeaPWcINdHK\ eGHfFDhEAiD7jG8lJ9mMAnPBoSCpVDrYEs`FtcGufGvdJrcMoa\ Pl`RiZUfYXcW_`VaYTdVSgSRiPOgLMfIKeFIdCFb9Da6B`39_0\ D`1Ha1Lb1Pc1Td1Xe1_e2cf2gg2kh2oi2sj2vj2j_RZPoYQpXR\ pXSpWTpWUpVVpVWpUXpTYpTZpS_pS`pRapRapLhjGoeBv`FmVJ\ ePMXJQPDTH8SJBRKDQLGPMIONLNPNMQQMRSLSVKTXJV_IWaHXd\ GYfGZhL_cQ`ZV`U_aPdbKibFncAsd5xd0va5tZAsWEqTJpQNnN\ SmKWkH`jEdhBig8me5rd3vf8ohDijHblMXnQQpVKrZDtc7ug1p\ e7ldDhbJdaO`_UXZ_TYdPUZLQUHNPKmJKaEKQ9KK4GP8TPCeKG\ q0Kr6LzCLsHLoNLoTLoYLl_LhaMdcM`fNaiNblNdoNerNgzOcz\ PzzRzzTzzRzzOzzMzzJzzHzzE } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================
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Jim Muth