; Date: Fri, 13 Jul 2012 17:15:39 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 13-07-12 (On the Bright Side [7]) ; Id: <1.5.4.16.20120713171844.22d711ec@earthlink.net> ; --------- ; ; FOTD -- July 13, 2012 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's parent fractal is once again an almost-Mandelbrot set. ; This set came about when I went 22 levels up the complex ; logarithmic hyperladder and calculated the expression ; Z^(2.00001)+C. But this almost-Mset set is rotated 180 degrees ; so that its East Valley falls on the negative X-axis, where the ; discontinuities usually lie. ; ; The plan was to check the East-Valley type discontinuities ; there, but I never found any. What I found was an everyday East ; Valley scene. To make something of nothing, I worked on the ; colors a bit and came up with today's image, which I named "On ; the Bright Side" because of the unusually bright color values of ; the image. ; ; The only fractal 'trick' was rendering the scene with the ; 'outside' set to 'summ'. A better rendering and coloring might ; have been possible, but I saw too little potential to make a ; real effort. ; ; Considering the image's calculation time of over 12 minutes, the ; rating of a 7 might be a bit liberal. (The older I grow, the ; more conservative I become.) Those who prefer their fractals ; brilliant might consider the result worth the effort however. ; ; To view the image without the need to spend 12 minutes ; calculating it, check the official FOTD web site at: ; ; ; ; The image may be viewed in the majesty of high-definition at: ; ; ; ; All the FOTD images are online at: ; ; ; ; Thickening clouds, increasing humidity, and a temperature of 91F ; 33C made today less than ideal here at Fractal Central. The ; fractal cats do not demand perfection however, and they passed a ; good part of the day curled in their cat cubes. ; ; Meanwhile, the humans had a passable day, with little of note to ; report. The next FOTD will be posted in the prescribed time. ; But most likely, there will be no FOTD's for July 15, 16 and 17. ; Until whenever, take care, and perhaps reality is nothing more ; than interacting field patterns. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= On_the_Bright_Side { ; time=0:12:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip center-mag=-0.2529472194990865/+0.0000000017984885\ /3.69507e+012/1/155/0 params=2.00001/0/22/0 float=y maxiter=10000 inside=0 outside=summ periodicity=6 mathtolerance=0.05/1 colors=000RBPQBPQBPQBPQBQPBQPBQPBQPBRPBROBROBSOBSO\ BSNBSNBTNBTNBTMBTMBUMBUMBUN9TMAUMBUMCVMDVMDVLEWLFW\ LGWLGXLHXKIYKJYKJYKKZKLZJMZJN_JN_JO`JP`IQ`IQaIRaIS\ aITbHTbHUcHVcHWcHXdGXdGYdGZeG_eG_fF`fFafFbgFbgFcgE\ dhEehEfiEfiEgiDhjDijDijDjkDkkCllCllCmlCnmComArnBpm\ ComDmmElmEjmFilGglHflHelIclJbkK`kK_kLYkMXkNVjNUjOT\ jPRjQQjQOiRNiSLiTKiSIjTJiTJiTKiTKiTLiTLiTLiTMiTMhT\ NhUNhUOhUOhUOhUPhUPhUQhUQgUQgURgVRgVSgVSgVTgVTgVTg\ VUfVUfVVfVVfVVfWWfWWfWXfWXfWYeWYeWYeWZeWZeW_eX_eX`\ eX`eX`dXadXadXbdXbdXbdXcdYcdYddYdcYecYecYecYfcYfcY\ fcYgcWgbXfcXhcYgcYgcZgcZhc_hd_hd`id`idajdajdbjdbke\ ckeckedledleemeemefmffnfgnfgnfhofhofipfipgjpgjqgkq\ gkqglrglrhmsimsjnskntlotmotnpuopuqqvsqvurvwrwxswyv\ yzuxztxzswzrwzqwzpvyovxnvwmuulusluqktojtmiskhsigsg\ freerddrdcqdbqcbqcapc`pb_obZobYoaXnaWnaVn`Um`Tm`Tm\ _Sl_Rl_QkZPkZOkZNjYMjYLjY } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|