; Date: Tue, 02 Sep 2008 19:15:28 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 03-09-08 (Original Symmetry [4]) ; ; Id: <1.5.4.16.20080902191629.2a3f2a42@pop.mindspring.com> ; --------- ; ; FOTD -- September 03, 2008 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; A fractal with a rating of a 4 leaves much to be desired, but ; it's still better than the 3-rated image that passed for ; yesterday's FOTD. The parent fractal was created by the formula ; Z^(1.666667)+C as it appears at ground level of the logarithmic ; ladder when no function is applied. ; ; The most notable thing about the parent is its origin symmetry ; -- a most unusual thing to appear in a Mandeloid. Even more ; interesting is the fact that many of its minibrots have a ; similar symmetry. Today's image shows one of these almost- ; symmetrical minibrots. ; ; I named the image "Original Symmetry" because of this symmetry. ; The rather average calculation time of 3-1/4 minutes should ; cause little discomfort. But if a problem should arise, the ; completed GIF image is or soon will be available on the FOTD web ; site at: ; ; ; ; The third consecutive perfect day passed uneventfully here at ; Fractal Central on Tuesday. The temperature of 86F 30C was a ; bit on the warm side, but the unusually dry air kept it quite ; comfortable. The fractal cats, who might have seen the last of ; the manx, spent most of the day chasing each other up and down ; the hallway and getting into various other trouble. ; ; My day was appropriately busy with non-fractal things. The next ; FOTD will appear in 24 hours. Until then take care, and if ; elected president, I will give everything to everybody. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Original_Symmetry { ; time=0:03:14.60-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.193684837028058/+0.6447822429058375/\ 7293.786/1/90/0 params=1.6666667/0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000R`dSZcUWbWUaYR`_P_`NZfdhkvrlwolwllwilwgl\ wdlwamxZmxXmxUmxRmxOmxMV8NTDLSIJRNHQSGOXENaCMfALk9\ KfEJaJJXOISSIOXHJaGEeG9jF4oF0sK6jPBaUHTYMKWPMVSNUV\ OSYPR`QQcRPeSNhUMkVLnWJqXItYHwZGy_LhXQSUVBRXFQYIPZ\ LP_PO`SNaVNcZMdaLedLfhKgkJhnJilMikPijSiiUihXig_ieb\ iddicgibjiami`oeXeaUWZQMVNCSK3_KLeIFlG8rE2KigG`ZCT\ Q8LH5D9AJ9FO9JU9OZ9Tc9Xi9an9es9ci8a`7_S6YI5W94U03r\ OpkLidIbYFXRCQK9JD6D636okLgdI`YFTRCMK9ED6763xNKkIG\ _DCO98C44uuLkkHaaETTAJJ7993uCpf9bT6QE3D`eyTXlMP`EG\ O78CaMAUH8MD6F847426KA3A5_9vV7nR6gM5_I4TD3M92E417n\ _zn0RP0DHoMEgIC`F9TC7M94E6273J30F20C20910610300FpD\ DiBBb99X87Q65J43D3161BiIwTWUEGMVlHObDIT8CJ469DOiAK\ a8GU6CN48F2471nE0eB0Y90P70H408266yZ4cN2QB1DI2qE1fA\ 1W70L30ADonAdc7VU5KK2AAxfihWYULNFABJuaCaP6JCNyvIlj\ D`Z9ON4CB60g50_40T30M20E107yfEp_CgUAZO8QI6HC4862Lz\ 9O3FKdPGojImiJjhLhgNefPce } 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|