; Date: Mon, 31 Oct 2011 17:13:26 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 31-10-11 (The peak [8]) ; Id: <1.5.4.16.20111031161429.2bafb2a0@pop.mindspring.com> ; --------- ; ; FOTD -- October 31, 2011 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is an anti-bifurcation scene in the parent fractal ; that results when quadratic and order-11 Mandeloids are combined ; in the FinDivBrot-2 formula. On the surface this parent is an ; everyday Mandelbrot set with everyday quadratic features, but in ; its depths it acquires Z^11 characteristics, with 10-lobed ; minibrots and all the other order-11 stuff. ; ; The scene is located just off the main spike of the parent ; M-set, a short distance beyond the large minibrot, in a small ; quadratic minibrot that has morphed about 4/5 of the way to an ; order-11 shape. ; ; The name "The Peak" tells that the central point contains not a ; hidden minibrot, but comes to a flat peak of low iteration. ; Instead of period doubling as the peak is approached, the ; fractal pattern experiences period halving, which is why the ; scene is one of anti-bifurcation. ; ; The rating of an 8 includes 2 full points for the coloring, ; which is most of what the image has going for it. When rendered ; with a different palette, the entire effect of the image falls ; apart. ; ; The calculation time of 45 seconds on a 2000mhz machine is a ; good guesstimate. ; ; The finished image may be viewed on the FOTD web site at: ; ; ; ; The image is available in high definition at: ; ; ; ; The original FOTD web site may be accessed at: ; ; ; ; A mix of sun and clouds brought an average autumn day to Fractal ; Central Today. The temperature of 46F +8C was slightly chilly, ; but not enough to keep the fractal cats from their watch post on ; the shelf by the southwest window. Except for some bickering ; about unimportant things, the humans had an uneventful day. The ; next FOTD will be posted in 24 hours. Until then, take care, ; and rational skeptics know that ghosts exist only in the mind; ; those who have experienced ghosts know that they are real. One ; of these certainties must be false, therefore, merely knowing ; that a fact is true does not make it actually true. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Peak { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.796068372208084/+0.00000000000489225\ /4.953129e+012/1.0003 params=11/1e+050/0/0 inside=0 maxiter=1500 periodicity=6 mathtolerance=0.05/1 colors=000n5Gk4Fh4Ee4Dc3C`3BY3AW3AT29Q28O27L26I15G\ 15D14A13802501200nocklaij_ghZefXcdVabU__SYYQVWPTUN\ RSLPQKNNILLGJJFHHDEFBCDAAA8886665443221iXOcSLYOISK\ FNGCHC9B86543U6aM4SF3J719RpRPmPOkONhNMfMKcKJaJI_IH\ XHFVFESEDQDCOCBLB9J98G87E76C6494373242iOekNdlNcmNb\ nNbpMaqM`rM_sM_jMYaMWcOUdQTfSSgUQiWPjYOl_MmaLzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyzzxzzwzzvzzuzz\ tzzszzrzzqzzpzzozzmzzkzzizzgzzezzczvarr_mmYehWTcUK\ ZSEUQCPMAKK9FI8AE65B5373131000hfzfczd_zaXzZWzWTzUQ\ zSMuPKoNJkKGfHEcFD_CCWA9T77L53J213WXbTWZPUULOPHJKC\ GF8DA79CCNVBLTAKR9IP9HN8GL7EK7DI6CG5AE49C48A369257\ 24512301100000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 000000000000000000000000000000IL0FJ0DG0BD09A068045\ 0220VH0TG0SF0RE0PE0OD0NC0LC0KB0JA0I90G90F80E70C70B\ 60A5094074063052032021010 } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;