; Date: Tue, 01 Mar 2005 12:14:30 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-03-05 (Little Oblate Seahorse [4]) ; Id: <1.5.4.16.20050301121500.2a37bd1a@pop.mindspring.com> ; --------- ; ; FOTD -- March 01, 2005 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; Every so often my interest in the fourth dimension surges, and ; I start exploring the odd slices of the Z^2+C Julibrot, which ; just happens to be a four-dimensional mathematical object ; containing both the Mandelbrot set and all the Julia sets. For ; today's image I went to the large midget on the negative X-axis ; of the Mandelbrot set, where I calculated a slice in the Oblate ; direction, (real[z],imag[c]), through the 'Seahorse Valley' area ; of that midget. Don't search for the name 'Oblate' in any book ; about fractals. It is a name I invented myself for slices cut ; in this particular orientation through the Julibrot. ; ; It is not a straight and simple slice, since the imag(z) para- ; meter is not zero. The small imag(z) value of 0.025 gives the ; entire scene an interesting skew to the left. The skewing is in ; the scene. The image itself, though stretched in the vertical ; direction, is unskewed. ; ; Unfortunately, the final result, which I did not put adequate ; work into, rates only a 4. After two tens and an eight, today's ; 4-rated image might seem a big come down, but the 'passes=b' ; option renders the image in a blazingly fast time of under 20 ; seconds, which means that little time will be spent in rendering ; the ho-hum image. ; ; I named the image "Little Oblate Seahorse", which is a descrip- ; tion of the area and direction in which the image is found. The ; parameter file calculates very fast, but a download of the image ; from the FOTD web site at: ; ; ; ; is nearly as fast, and for those with over-qualified computers, ; it is far more convemient. ; ; The snow started later than forecast here at Fractal Central on ; Monday, but when it finally did come, it came heavy, and by the ; time it wound down well after dark, over 7 inches (18cm) were on ; the ground. The fractal cats, being wise as all cats are, took ; their outside time early. By the time the snow began, they were ; safely ensconced on their shelf, watching with satisfaction the ; big flakes falling outside. A surprisingly small tuna treat was ; needed to keep them happy. ; ; This morning is starting with partly cloudy skies and sub-freez- ; ing temperatures. The snow covering the ground and clinging to ; the trees is making a winter wonderland of the surroundings, but ; cats of the fractal variety do not like snowy paws, so it is yet ; to be seen what kind of day they will have. ; ; I'll have a day of clearing away the snow however, which will ; take about an hour and leave ample time for the next FOTD, which ; will appear in 24 hours. Until then, take care, and be of high ; faith. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= LitleOblateSeahors { ; time=0:00:19.88--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=b center-mag=0/0/55.71368/0.1391 maxiter=3750 params=0/90/2/0/0/0.025/-1.768529748533/0 float=y inside=255 logmap=yes symmetry=origin periodicity=9 colors=000QMcQMcQMcQMcQMcQMcQMcQMbQMaQM`QM_QMZQMYQ\ MXQMWQMVQMUQMTQMSQMRQMQQMPQMOQMNQMMQMLQMKQMJQMIQMH\ QKGPJFONJOQNNTQNXUM_YMb`LfdLigKlkKpoJsrJvvJyyLquMi\ qOamPUiRMeSEbZYhepnkzsozlrsevl_ydTzXMzQGwWNoaUgg`_\ mgchigckkZmnUnrPpvKryFsuLnrQioVdl__hdVeiQbnL_sGbpF\ dmFgjFihEleEnbEp`EsYDuVDxSDzQCzNCzKCzICm_PVp`Xq_Zq\ Z`qYbqXdqXfqWhqVjqUlqUnqTpqSrqRtqRoiQkbPgVOcONbRQb\ UTbXVb_Yba_bdbbgeajgamjaolaroauraxtazwazyhzpnzgkt_\ inTfhMdbFbX8iaGofOukVzpbzujzyqzxozxmzxkzxizwgywevw\ ctwaqv_ovYlvWjvUhvTiuYHkVHkWHkYHkZRjd`jjjiptivuguv\ fuweuxduycuzauz`uz_uzZuzYuzWuzVuzUuzTuzSuz`vzhvvqv\ ryvozvowtonroepoXnoOloFjqNjsUjuajvhjxpjzwjzzjzzjyz\ huzgrvfnqdjlcggbcb`_Y_XTZTOXPJWMEVRKSVPQ_UNcZLhcIl\ iGqnDusBzx8zz6zz4zzBwzIqxPluWktZjs`irbirdhqfgphfoj\ folenndmpclrcltorpsufwxXzzQzzHzzJzzLzzMzzOzxQzwRzu\ TzsVzrWzpYzn_oFSlCCnFD000 } 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========================================= ; ;