FOTD -- January 03, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's FOTD is late for the usual reason -- FL and I went on an antiquing expedition on Saturday. It's getting to be a FC tradition. The trek was not a total loss, I found a perfectly good, well-aligned pair of Bushnell binoculars for 12 dollars, and FL found a pleasing decorative pillow. The image for today, with its limited palette of colors, rates an honest 8. The name "Recursive Rhapsody" has little meaning beyond its poetic effect. The parent fractal was created by subtracting Z^(-1.5) from Z^(1.5). This parent comes in two parts -- a twisted Mandelbrot set and a separate, smaller and partially occluded set lying some distance to the southwest. Today's image lies in the East Valley of this smaller set, which is the only recognizable part of it that remains. The unusual effect was achieved by rendering the image with the outside set to 'tdis'. The normal outside=tdis rendering is far less impressive. The calculation time of just over 2 minutes is a bargain when the resulting image rates an 8. And even this minor wait may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds, blustery winds, snow-covered ground, and a temperature of 27F -3C made Saturday quite a winterish day here at Fractal Central. The fractal cats ignored the cold, seeking comfort in the warmest spots they could find. My day was spent bargain hunting. The next FOTD is due to be posted in around 9 hours. There's a fair chance it might actually be posted on time. Until then, take care, and don't ask me why the laws of nature work as they do. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Recursive_Rhapsody { ; time=0:02:08.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.97539331598/-2.10693345459/1690985/1\ /-147.5/0 params=1/1.5/-1/-1.5/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=0001be7`aCZZHXWMVTSTQXRNaPKfNHXFMNDQEBKCEHI\ 6JN9LaJMcLOeNQjRRpUTtYVzaWwVVvTUtRTrQSpPRnNQlMPjLO\ hKNfJMgILiLNkNPlPRnSToUVqWXrYZs``sbbtddtffuihukjvm\ lzonzpkzqhzrezsbztczudzvezwfzxgzyhzzizzjzzkzzlzzmz\ znzzozzpzzqzzqzzizzazzUzzUzzUzzUzzUvzUrzVmzVhzVczV\ ZzWUzWPzWKzWFzZAz`5zc5ze4zh4zj4zm4zo4zqBznHzkmzhmz\ emzbmz_mz`mzamzbmzdmzfzzhzzjzzlzzmzzozzqzzszzuzzwz\ zxzzrzzlzzgzzazzWzzRzzLzzFzzAzzHzzOzzVzzazohzrnzri\ zrdzr`zrWzrRzrNzrIzrDzr9zr4zr0zi6zaCzUHFMN6ES8DR9C\ QBBPCAPE9OF8NH8NI7MK6LL5KN4KO3JQ2IR2IS7GTCEUHCVLAW\ Q8XV6XZ4W`6Vb8UcAUeCTfEShFRjHRkJQmLPnNOpPOqQQqQRpP\ TpPVpPWoOYoO_oO`nNbnNdnNemMgmMimMjmMhjPggSeeVdbXb`\ _aYb_WdZTgXRjWOlUMoTJrSHtTIoUIkVIgWIcXJ_YJWZJS_JO`\ JKco6bm7bl8bk9bjAaiBahCafDaeE`dF`cG`bH`aIZ`JX`JV`J\ U`JS`KQ`KO`KN`KL`LJ`LH`LG`LF_SE_YE_cD_jC_pC_vG`rJa\ nMbkPcgSdcwhckfd_edOdeCce } 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=========================================