; Date: Tue, 26 Apr 2005 11:49:07 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-04-05 (Ace and a Half [5]) ; Id: <1.5.4.16.20050426115016.29bf0018@pop.mindspring.com> ; --------- ; ; FOTD -- April 26, 2005 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal takes us into the wilderness created by the ; formula Z^(1.5)+C, where we investigate a valley with a tiny ; midget in it. The name "Ace and a Half" refers to the exponent ; of Z. All in all it's an average fractal, perhaps with a bit ; more delicate feathery detail than usual, but still worth no ; more than a rating of 5. The render time of over 24 minutes is ; a bit excessive for such an average image, so the better choice ; may be to download the completed GIF image from the FOTD web ; site at: ; ; ; ; My philosophical thoughts continue, but are unorganized. Right ; now, I am wondering exactly what is meant by statements such as ; 'the present state of the universe' or 'at the present time, the ; universe is 15-billion years old'. Relativity shows that there ; is no such thing as a present moment of time that exists through- ; out the universe, since everything in it is in relative motion. ; Are different parts of the universe a different age even though ; they all supposedly started at the same time in the same 'big ; bang' event? Are we seeing the 'twin paradox' in action? Per- ; haps the whole concept of a universe is a fantasy we invented to ; squeeze things down to a level that is somewhat intuitive. I'll ; do some pondering on this situation in the days to come. ; ; The weather here at fractal headquarters on Monday was partly ; cloudy, but the high temperature of 63F 17C was a bit chilly and ; the brisk wind increased the chill. Seeing these conditions, ; the intrepid cat duo ventured bravely forth into the yard. They ; met with little excitement there, and were quite satisfied when ; they returned to civilization an hour later. My day was satis- ; factorily busy, with the philosophy progressing slowly. ; ; Today is starting sunny, but clouds and rain are due by evening. ; Hopefully, the cats will finish their adventure early. The next ; FOTD is due in 24 hours, and the chance of it appearing at that ; time is almost certain. Until then, take care, and what time ; is it? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Ace_and_a_Half { ; time=0:24:37.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.99063222857496640/+0.778814550180425\ 30/4624.491 params=1.5/0/0/0 float=y maxiter=10000 inside=0 logmap=366 periodicity=0 colors=000UvKUvJTwIRxJTwIVtIXqIZnI`kIbhIdeIfbIg_Ii\ XIkUImRIoOIqLIsIIuFIvCIuFIuHIuJItMItOItQIsTIsVIsXI\ sZIraIrcIreIqhIqjIqlIpmFqnIroLspOtqRurUvsXwt_xubyv\ errjysgxtXwqMxqAvoBumBtlCsjCriCqgDpeDodDnbEmaEl_Ek\ YFjXFiVGhUGgSGfQHePHdNHcMIbKIaII`HJ_FJZEJ_FM`GPaHR\ aIUbJXcKZcLadMceNfeOifPkgQnfQqgRpgRpgSpgSpgTpgTpgU\ pgUogVogVogVogWogWogXogXogYngYngZngZng_ng_ng_ng`ng\ bmgdmgfmghmgjmglmgmminmkokmniongqmesmctmaul_vlYwlZ\ xk_yk`zjayjbxjbwicuidtieshfrhgqhgpghoginfjmfklflke\ mjemienhdogdpfcqecrdcrcbsbbtabu`av_aw`cy_awZ`vY_uX\ ZtWYrVXqUWpTVoSUmRTlQSkPRjOQhNPgNOfMNeLMcKLbJKaIJ`\ HIZGHYFGXEFWDEUCDTBCSABRBAQCBRDBSECTFCUGCVHDWIDXJD\ YKEZLE_MF`NFaOFbPGbQGcRGdSHeTHfUIgVIhWIiXJjYJkZJl_\ Km`KnaLnbLocLpdMqeMrgMsiNtkNumOvoOwqOxsPyuPzwPzxRz\ ySzzUzzVzzWzzYzzZzz_zzazzbzzdzzczzczzczzbzzbzzbzza\ zzazzazz`zz`zz`zz_zztzzuz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-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|