; Date: Mon, 17 Jan 2011 19:17:30 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-01-11 (Surreal Cubism [7.5]) ; Id: <1.5.4.16.20110117191732.168739a2@pop.mindspring.com> ; --------- ; ; FOTD -- January 18, 2011 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image differs from the usual image in that the minibrot ; at its center is cubic rather than the much more common quad- ; ratic. Its parent fractal is a small variation of the Z^3+C Man- ; deloid. The variation is that the exponent is 3.001 and the ; parent is calculated at a level 0.001 turns up the logarithmic ; hyperspiral. The parent fractal also is rotated 90 degrees, so ; that it lies on its side. ; ; As a result of all these differences, the negative X-axis cuts ; through the valley that normally would lie at the center of the ; large period-2 northern bud. This valley appears as a wedge, ; trying to split the bud down its center, and is of a type that ; does not exist in the classic Mandelbrot set ; ; In today's parent, the small departure from the true ground- ; level Z^3 Mandeloid causes the negative X-axis to be infinitely ; divided, which does strange things to the parts of the fractal ; that happen to fall there. Exactly what kind of strangeness ; takes place is apparent in today's image. ; ; I named the image "Surreal Cubism", which must mean something, ; though I doubt that it has any connection to early 20th-century ; art forms. The rating of a 7-1/2 includes a half-point for the ; coloring. The image might or might not be worth it. ; ; The calculation time is quite brief -- under 1-3/4 minutes. ; This will keep impatience suppressed. The task of calculation ; may be totally eliminated by viewing the finished image on the ; active FOTD web site at: ; ; ; ; The original web site may be found at: ; ; ; ; though it is not up to date. ; ; Bleak gray skies and a temperature around 23F -5C kept the ; fractal cats very near the heat all day Monday here at Fractal ; Central. The forecast of snow overnight and ice on Tuesday ; promises another bleak day to come. The fractal cats are ; unconcerned. They live in the present, and never worry about ; the future until it actually happens. ; ; The Monday of the humans, (a good name for a horror movie), was ; busier than expected, which left no time to get involved in the ; upcoming web site. The next FOTD will be posted in 24 hours. ; Until then, take care, and keep the controversy at a minimum. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Surreal_Cubism { ; time=0:01:43.53-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-1.097220314469322/+0.00347417864711567\ /9.5e+011/1/-45/0 params=3.001/0/0.001/0 logmap=166 float=y maxiter=1200 passes=1 mathtolerance=0.05/1 colors=000fVgdWebXc`XdVYeN_f9bg5bZ5WQ2IH0C8LHtABSY\ QqRLfKHWDDL69A_RDSMALI7ED5792zzzu_pfHXYCNP9HL7DG68\ C70060F6RD6NA6I75D559254vF5Cgw9Yh6OU3EFsDIlCFeBDZA\ BS99r86zK4rF2lCDfHAYF8QC6HA487216O05K05H05D05A0560\ 53XLVOHNGDF897DA5A94783572261z7QV6Diao_VdROVIIK9BA\ 6cT5YO4SJ3ME2G91A43xcnZaeUVYPPPKJHFC8A616M05I05F05\ C059056053mxzmxzExzB_T7QJ3F9pgnZVYHIHLGMHEIECEAAB7\ 87363PYAIQ7CJ56C25AifMQZJLSGHLDDEA8774KzezzdzzdLzc\ zgcLzbzzbLzbMfaMzaMf`Mz`Ne_Nz_NeZNeZNzZOeYOeYOdXOd\ XPdWPdWPdVPdVWBWSQVPdVNrXMsWMsVMsUMsUMtTMtSMtRMtRM\ uQMuPMuOMuOMvNMvMMvLHxNMvLQrKVoIZkH`jEaiFbhGcgGdfH\ eeHfdIgcIhbJiaKj`Kk_LkZLlYMmXMnWNoVOpUOqTPrSPsRQtQ\ QuPRuPRsRTqSUoUVmVWlXYjYZh__f``dbacccaed_feYhfXigV\ jiTljRmkPolOpnMroKspIuqGvrFxtDxuBxv9xw7xz8xy8xx9xw\ 9xw9xvAxuAxuBxtBwsBvsCurCuqDtpDspDroEqnEpnFpmFolFn\ lGmkGljHkiHkiHjhIigIhgJgf } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|