FOTD -- October 28, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image, the 5th in the Julia variation series, is more of a human production than a part of the world of math. I rated it at a 7, but only around 5 of those points are in the mathemati- cal part, which is merely a large open area with ragged edges. The other 2 or so points were earned by me when I rendered the image with the flat black 'inside' set to 'bof60', and did the coloring. The image is a Julia set of the Z^(sqrt(2))+C Mandeloid as it appears at zero level of the BC formula. Most of the features consist of 'bof60' inside fill, which works best with the inside part of this fractal. Only a small part of the 256 possible colors of the GIF palette actually appear in the image, but despite this the image seems quite fully colored. With a render time of under one minute, the image is a fast one. Equally fast is the download from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The partly cloudy skies and temperatre of 54F 12C were pleasant enough for the fractal cats to enjoy several hours in the holly patch on Thursday. The day was un-notable for me. Today is starting with some clouds and quite chilly. The cats will need their fur coats. The next FOTD will arrive in 24 hours. Until then, take care, and where is the ultimate source of fractals? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Julia_Variation-5 { ; time=0:00:57.29--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.056338/-0.062630\ 5/0.9692117 params=1.414213562373/0/0/0/-0.0948\ /-0.1863/0/0 float=y maxiter=1000 inside=bof60 logmap=yes symmetry=none periodicity=10 passes=1 colors=000075066057348739A2AF6AK9AOCATFAXIAaLAeOFi\ UKl_PpeUsgZwiczlhzomzrtzuwzxzzzzzzzzzzzzzzzzzzzzzz\ `0meQPhRXGiAWl5abGdgBgk6nhTllFH5vPHgWTUcdFvyjsvZpt\ OmqCyxdfuhD9DUV7ivRjsIjq9Fw_NuRVsIbq92sZFZsQd``jJT\ qH1wJHtDWq7exnNeEtH_oZI4tMDvyUrV_aBeh6XJl`S`c_PggD\ ei`afZZdWWbTS_RPYOLWLITJERGBPD8NBBP9ER8HS7KU5NV4QX\ 3TY2W_3Z`4aa4db5gd6je6mf7pg7nh9liAjjCikDglEemGdnHb\ oI`pKZqLYrMWsOUtPTuQqL6cWYdYZdZ_d`_ea`ec`edaffafgb\ fhcgjcgkdgmdhnehpehqfhrfjtakuYlwTmxPeO8cPAbPCaPE_P\ GZQIYQKWQLVQNURPSRRRRTQRVPRWRXRTaNVgIXlEZqAbiEeaIh\ ULkMPnETq7WkCVeHV_MVURVOWVJ`VIaUHbUHcUGdUFdTFeTEfT\ EgTDgSChSCiSBjSBjSHlVMnXRo_Wqa`rcftfkvhpwkuymzzowu\ ntqnrmmohmmdmj`lgWleSkbOk`KkbJjcIidHhfGhgFghEfiDfe\ KebRe_YeXdeUkeRreOxeRseToeVkeYfe_beaZedUefQehMekHe\ mDeo9eq5epBcpGapM_pRZoXXoaVogTolSkiShfSecSa`SZZSWW\ STTSPQSMNSJLSGISCFS9CS69S } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================