; Date: Mon, 07 Mar 2005 11:52:52 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 07-03-05 (Seahorse Oblate [6]) ; Id: <1.5.4.16.20050307115328.29e76798@pop.mindspring.com> ; --------- ; ; FOTD -- March 07, 2005 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is the last in the current series of seven Oblate ; pictures. (Well, all right, yesterday's image had more of a ; Rectangular orientation.) Today's image shows an Oblate view of ; a mini-Mandelbrot set lying in Seahorse Valley. The Mandelbrot ; version of the picture may be seen by changing the (p1) ; parameter from 0,90 to 45,45 and resetting the x-magnification ; factor to 1. When this is done, a perfectly-formed, though ; somewhat under-iterated, Mandelbrot midget typical of those in ; Seahorse Valley will appear. ; ; The pattern surrounding the Oblate midget closely resembles that ; of both the Mandelbrot and Julia versions of the scene. The ; main difference is that the pattern is distorted into a ; triangular shape. This triangular distortion is typical of most ; midgets in the Oblate orientation. The mathematical reason for ; this is probably known, though I have no idea of what that ; reason might be. ; ; The name "Seahorse Oblate" is a description, and hardly more ; than a catalog number. The rating of a 6 reflects the small ; amount of extra effort I put into the coloring. The render time ; of 3 minutes is about the same as the time required to go to the ; FOTD web site at: ; ; ; ; and download the finished image from there. ; ; Starting with tomorrow's image, we will spend 7 days investiga- ; ting what I call the Parabolic, real(c)real(z), orientation of ; the Julibrot. ; ; A sunny mild day on Sunday, with a temperature of 54F 12C, kept ; the fractal duo quite happy in the yard most of the afternoon. ; When evening came, they were so exhausted that they almost ; forgot their tuna. Today promises to be even warmer. This is ; good news for the dynamic cats. For me, there is a modicum of ; work to finish before I get to the fractals, the next of which ; will appear in 24 hours. Until then, take care, and sometimes ; I wonder whether there are an infinity of fractals or only one ; fractal with infinite aspects. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Oblate { ; time=0:03:06.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=-0.00000000000200438/+0.000000\ 00000203913/1.205523e+010/0.3459/32.5/3.8857805861\ 8804789e-016 params=0/90/2/0/-0.7291299973892553/\ 0.2357647081925723/-0.7291299973892533/0.235764708\ 1925723 float=y maxiter=1800 inside=0 logmap=320 periodicity=10 colors=000jNvjNujNtiNsiNrhNqhNpgNogNnfNmfNleNkeOid\ PgdQecPcbOaaM_`LY_KWZJVZIT_KU`MUaOUbQWcSXcUZdW`eYb\ f_cgaehcfiehigijijkkllmmlnnmppnrqotspvtrxutzwvzxwz\ yzzzzzzzzzzzzPkWUkcYlaSm_NnYHoWCpU6qS1rQ8ZYEGeDFdC\ FcCEcBEbBDbADa9C`9C`8B_8B_7AZ7AZ6B`5Bb5Bd4Ce4Cg3Ci\ 3Dj2Dl2Dn1Eo1Eq0Es0Et4Gs8IsBKsFLsINsMPsQQsTSsXUs_V\ sfbklicsqWyxOxuNxrNxoNwlMwjMwgMvdLvaLv_LuXKuUKuRPu\ OUzLZzNczRhzUlwYktalqdlnhlmlllolkjZjeMi`9dXE`UJXRO\ TNTOKYKHbGDgCAl87q9CrAGrBKrCPsDTsEXsF`sGetHitImtJq\ tKmpKjmKgjLdfLacLY`MVXMSUMPRMMOR`TWoY_zb`z``wZ`tYa\ qWanUakTahRbePbbOb_MbYLeWIhVGkUEmTCpSAsR8uQ6qO9nNB\ kLDhKFeJHbHJ_GLWFNTDPQCRNBTK9VH8XE7ZI6`L6aO6bS5cV5\ dY5f`5gd4hg4ij4jm4lq3mt3nw3oz3pr9rkEsdJtXPuQUvJZwK\ _rL`nMajNbfOcbPdZPdVSdUVdTYdT_bSa`ScZSdXSfVS8Hz8Jz\ 9Lz9Nz9PzARzATzAVzOXz6Zz7`z7bz7cz8dz8ez8fz9fz9fz9f\ zAfzAfzAfzCfzEfzFfzHfzIfz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ;