; Date: Mon, 23 Jul 2007 22:21:22 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 24-07-07 (The Golden Error [7]) ; ; Id: <1.5.4.16.20070723222651.2b7f72b6@pop.mindspring.com> ; --------- ; ; FOTD -- July 24, 2007 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; The first exponent of Z in today's formula was supposed to be ; the Golden Ratio, which is 1.618, but I mis-typed the value and ; entered 1.68 by mistake. No problem. The wrong exponent made a ; very interesting though unintended parent fractal. ; ; This parent fractal resembles a Mandelbrot set rotated 180 ; degrees, with troubles in the area of its main (positive in this ; case) stem and its Elephant (west in this case) Valley. I chose ; to search the troubled Elephant Valley for midgets. ; ; The Elephant Valley is troubled by being broadened vertically ; into a kind of wedge. But some rather interesting chaos lies at ; the corners of the wedge. It is in this chaos that I found ; today's scene. ; ; Today's image is unusually detailed, almost too much so. In a ; way it reminds me of the decorative dingbats once used in ; printing, or it could be a piece of Art Nouveau. But whatever ; it actually is, I named it after the error that brought the ; parent fractal into being. I named it The Golden Error". ; ; For a rating I chose a 7, which is far enough above average to ; justify my satisfaction with the rather brilliant coloring. ; ; The calculation time of 5-1/3 minutes on the P2000 would be ; stretched to about 1/2 hour on the old P200 unit. The already- ; calculated GIF image is available for viewing on the FOTD web ; site at: ; ; ; ; Cloudy chilly weather with light rain and a high temperature of ; only 66F 19C made Monday far less than perfect here at Fractal ; Central. The fractal cats did not worry themselves about the ; outside conditions. They busied themselves instead by chasing ; one another up and down the hallway. ; ; In my department, the work was light, but a good load is coming ; in tomorrow, so the work famine will soon turn to a feast. The ; fractals just keep coming at a steady pace however. The next ; one will be posted in about 24 hours. Until then, take care, ; and great fractals demand great faith. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Golden_Error { ; time=0:05:19.94-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.25347102601401180/-0.065840794263304\ 04/1.505545e+010/1/72.5/0.00237908003330774415 params=-1/1.68/1/1.4142/0/0/0/0 float=y maxiter=3200 inside=0 logmap=538 periodicity=10 colors=000EhBEiGEkJElNHnSMoVPq_SrbXtf_uibrnfoqilul\ ixffzbczY`zSYzNVzJTzDQz8Nz4Kz0Hz0Ez0Dz1BzBAzM8uY7r\ h5nr4iz4f`8rXBqTEqQGqNJqKKoHNoEPoBSo8Vn5Xn2_n0`n0c\ l0el0hl0il0Xh0Kc08`4GbDNcMTeV`fehhnniwukzzlzznzzkx\ thqleiebbY_VQXNJTGDQMENSGKXGHbHEhJBlJ8rK5wK2rH7oGB\ lDEiBJf8Nc7Q`4VY2YT0bQ0fN0iK0nH0rE0uB0z80zA2qBKeDb\ VEtJEz8Mz7Tz5`z4fw2nr1uo0zl0ui4qf8lcDhbHc_MYXQTTVP\ S_KPeGMiAJn5Hr1Ew0Bz08z07z0Az0Dz0Gz0Jz0Mz0Pz0Sz1Vz\ 2Yz4`z5cz7fz8hzEnuKrkPwbVzS`zHez8fzBhzEizHixJkuMlr\ PnoSnlToiXqf_rcbrbcl_fochlXhYQfSNeNKcHHbDE`7B`28`0\ 5`02`00_00Y00X00V00T00V00X00X00b00_00V00Q00N00J00E\ 00A00740B80ED0HH0MT0Ph0hw1ww2ww2wX4zP5zH5zA7z27z08\ z08z0zf0zh0zi1zk2xl5tn7qo8lqBhrDetG`uHXwJTxBKz5Bz0\ 2z00z70zK2zX5ziAzwDzzGzwQzl_w`hqQqkPolNnlNqlMtnKwn\ KznJznHzoHzoGzoGzoJznMzlPzkSzkTziXzh_zhbzfezefzciz\ clzboz`qz`ozVnzPlzKkzEizA } frm:MandAutoCritInZ {; 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)+(p4)), 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint