; Date: Sun, 18 Apr 2004 12:14:46 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-04-04 (Fractal Splendor [7]) ; Id: <1.5.4.16.20040418121809.38ffd586@pop.mindspring.com> ; --------- ; ; FOTD -- April 18, 2004 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Take (1/Z), mix it with 1/2 as much Z^(-2), and add (1/C). What ; do you get? Why, a fractal of course -- an oversized fractal ; that is too large to fit on the default screen and needs to be ; shrunk by an outzoom before it becomes completely visible. This ; fractal has X-axis symmetry, but only because the exponents of Z ; are whole numbers. Changing (1/Z) to Z^(-1.1) or Z^(-2) to ; Z^(-2.1) gives a pair of entirely new fractals with no symmetry. ; ; This parent fractal is far richer in detail that the classic ; Mandelbrot set. The detail might not be any more varied, but it ; covers a far larger area. The fractal has an interesting area ; around +7 on the real axis, where two graceful arcs of delicate ; filaments come together. Today's scene is located in one of ; these arcs, very near the point where it touches the X-axis. ; ; I have colored the image to resemble something like a brilliant ; star blazing away in empty space, and named it "Fractal ; Splendor". I seem to remember a somewhat similar FOTD image ; from several years past, but if today's image is a near-repeat, ; I will consider it simply a variation on a splendid theme. ; ; I rated today's image at a 7, mostly because of the extra effort ; I put into the coloring. The render time of 11 minutes gives ; the image an overall value of 59. As always, the image may be ; seen most conveniently by downloading it from the FOTD web site ; at: ; ; ; ; Saturday was as close to being a perfect day as we have come in ; quite a few months here at Fractal Central. Warm sun, light ; winds and a temperature of 84F 29C gave the fractal cats all ; they could ask for. If they had been 10 years younger, they ; would have romped all afternoon. But being 14-year-old cats, ; they slept in the shade of the holly trees most all afternoon, ; and romped, (if what they did can be called romping), only a few ; minutes. Today is starting just like yesterday. I assume the ; cats will have an equal day. ; ; As for me, I'll put off the grass trimming one more day, and ; take it easy. The work is light and I should have lots of time ; to get it done on Monday. The next FOTD will appear in 24 ; hours. Until then, take care, and try to prove that fractals ; are not real without defining reality. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fractal_Splendor { ; time=0:11:55.35--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+7.02311504952539200/+0.000296216423795\ 89/7.833267e+008/1/-142.5/0.00233171123971526173 params=1/-1/0.5/-2/0/0 float=y maxiter=2000 inside=0 logmap=248 periodicity=10 colors=0007LK7LK7LK7LK7LL7LL6LL6KM6KM6KM6KN6KN6KN6\ KN6JO6JO6JO6JP5JP5JP5JP5IQ5IQ5IQ5IR5IR5IR5HS5HS5HS\ 4HS4HT4HT4HT4GU4GU4GU4GU4GV4GV4GV4FW3FW3FW3FX3FX3F\ X3FX3EY3EY3EY3EZ3EZ3EZ3EZ4F_4G_5H`5I`6Ia6Ja7Kb7Lb8\ Lc8Mc9Nd9OdAOeAPeBQeBRfCSfCSgDTgDUhEVhEViFWiFXjGYj\ GYkHZkH_lI`lI`lIamJbmJcnKdnLeoMfoNgpOhpPiqQjqRkrSl\ rTmsUnsVosWptXqtYruZsu_tv`uvauwbvwcvxdwxewyfxygxzh\ yziyzjzzkzzlzzmzznzzmzzlzzkzzjzzizzhzzgyzfxzewzdvz\ cuzbuzatz`tz_szZszYrzXrzWqzVqzUpzTpzSpzRozQozPozOn\ zNnzMnzLmzKmzJmzIlzHlzGlzGkzGkzFjzFjzEjzEizEizDizD\ izChzChzChzBgzBgzBgzAgzAfz9fz9fz9ez8ez8ez7fz8ez8ez\ 8dz9dz9cz9cz9bzAbzAazAazB`zB`zB_zBZzCZzDZzEZzFZzG_\ zH`zIazJbzKczLczMdzNdzOdzPezQezRezSfzTfzUgzVgzWgzX\ hzYhzZhz_iz_iz_izZjzZjzZkzYkzYkzXlzXlzXlzWmzWmzVnz\ VnzVnzUozUozTozTpzTpzSpzSqzRqzRrzRrzQrzQszPszPszPt\ zOtzOuzNuzNuzNvzMvzMvzLwz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ; ;