; Date: Sun, 09 Nov 2008 23:35:27 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 10-11-08 (Mandel What is It [No Rating]) ; Id: <1.5.4.16.20081109233621.0cff91f0@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; 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========================================= ; ; ;