; Date: Sun, 08 Dec 2013 17:21:27 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 08-12-13 (Wrapped Around [A-8,M-7]) ; Id: <1.5.4.16.20131208172127.2a37ba44@earthlink.net> ; --------- ; ; FOTD -- December 08, 2013 (Rating A-8,M-7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image came about when I took the expression Z^(1.333)+C, ; calculated it 7 levels up the hyperspiral (hyperladder) with the ; 'floor' function applied, and checked the resulting fractal. ; ; The name of today's FOTD, "Wrapped Around", does not refer to ; the image itself, but to the parent fractal in which it lies. ; This parent has been caught in the act of wrapping around the ; complex logarithmic hyperspiral and slipping off into uncharted ; higher dimensions. It consists of a large twisted open area ; with two broken chaotic filaments extending north and west, and ; a prominent bud on the southeast shore line. Today's scene lies ; not too far out in the chaotic filament extending to the north. ; I have not yet checked the bud. ; ; The art aspect rates an 8, which is justified because the image ; is one of the better ones I have found in the exponent range ; between unity and two. And I really did put extra effort into ; the coloring. The math aspect rates a 7, with a good part part ; of the worth lying in the parent fractal, which has been caught ; spiraling off into another world. ; ; The calculation time of 1-1/4 minutes is close to the average ; time it takes for a fractal to calculate on today's fireball ; fast but not always DOS capable machines. The web sites can ; deliver the image faster, with no DOS compatibility problems. ; ; So save calculation time. See the finished image online at: ; ; ; ; ; ; ; ; ; ; Cloudy cold weather with a temperature of 27F -3C prevailed here ; at Fractal Central today, with light snow beginning in the ; afternoon and worse to come tonight. The fractal cats, who do ; not appreciate their snug warm home, kept watch for the unlucky ; cats outside, who have no snug warm home to go to to keep them ; comfortable. In fact, Nico growled and hissed from the window ; when one of them wandered into the yard, looking for food. The ; fractal humans spent the day battening down for the winter ; storm, which might not be as bad as some are forecasting. ; ; The next FOTD will be posted in a reasonable time. If the storm ; causes problems, it might not be for a couple days. Until ; whenever, take care, and everyone knows what must be done to ; stop climate change and save the earth, but no one wants to ; inconvenience themselves enough to do it. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Wrapped_Around { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.5153288927852182/+1.547161935824231/\ 2075069/1/92.5/0 params=1.333/0/7/0 float=y maxiter=2250 inside=0 logmap=122 periodicity=6 colors=000A2YA3XA4WA5VA6UA5TA3SA7RA5QA0PA5OA5NA6MA\ 2LB1KA3IA3G93E82C72A60850640430220010000000O05c0Rw\ 0zz0mg0hF0m00z00F0480010zczzzzgtzYmzPfzE_zBQz7Jw3C\ s06o04k00g00c00c00c00c00c00c0vz0czFnnYwNqz0pk4nS7n\ BBl0Hi0Li0Ne0Lc0La0L_0LY3KWCKUKKRUKOaKMiJPnRUp_Vuh\ _wrczzezzizzkzzizzizvgzehyTfwEfu3gr0kp0nn0pk0rh2wf\ 3yd5zb7z_9zYBzWDzUEzUGJe00p00i00e00a00Y20UB0PL0LW0\ He0Dp09z03z10z90zD0zG0uD0r90r50p30p00n00n00n00l00l\ 00i00i00g00g00g00n40uL0zc0ze0yg0ri0ll2en9ZpFSrMMuS\ Fw_9yf3zm0zt0ca1FL704D00H0BRO_aqygluigpjeknafn_anV\ YpUUpPRrNNrJJrGFuCBuA7w73w62wBJJF_00zH0zP8iVOcccci\ rcpncUlM9ih0gh0`h0Xh0Th0Nh0Jh0Fh0cy0cy0hy0hy0hy0my\ 2my4my5my0my0my0zy0zy0zy0zy0zyDz_mzcmzhmzjmzomzrmz\ vmzymzzmzzmvzmrzmnzmizmezm_zmWzzRzzNzzJzzFzz0zz0zz\ 0zz0zz0zz7zzEzzLzzTzzazzhzzrzBzz5zz0zz0zz0zz0zz5zz\ 9zzDzzGzzLzzPzzTzzXyzZtzc } 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|