; Date: Wed, 11 Jun 2008 22:59:34 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 12-06-08 (Forever Down South [8]) ; ; Id: <1.5.4.16.20080611225928.2a5f68fe@pop.mindspring.com> ; --------- ; ; FOTD -- June 12, 2008 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows one of the most impressive minibrots that I ; have ever found in the exponent range between 1 and 2. ; ; The parent fractal was created by the formula Z^(1.5)+C as it ; appears 11 levels up the complex log ladder when the 'recip' ; function is applied. This parent resembles a fairly normal ; looking mandeloid with an unusually long zigzagging filament ; extending south from the main bud and curving east. A large ; minibrot lies on this filament, and today's scene is located in ; the East Valley area of this larger minibrot. ; ; The image consists of unmistakable East Valley Julia set stuff. ; It seems to be a universal fact that minibrots of all orders, ; which are located in the East Valleys of larger minibrots, have ; the same underlying appearance. The same is true, though ; perhaps to a lesser degree, of the minibrots in the Seahorse ; Valleys of larger minibrots. ; ; I named today's image "Forever Down South". I am not sure why I ; gave it this name, but the name is not totally inappropriate. ; After all, the scene does lie well south of the main part of its ; parent fractal. ; ; The rating of an 8 is due in large part to the coloring, which ; largely makes the image. The calculation time of 1-1/3 minutes ; is quite brief even in the eyes of the most impatient. ; ; And as always, the pre-calculated image is available for instant ; viewing on the FOTD web site at: ; ; ; ; A perfect day here at Fractal Central on Wednesday was fully ; appreciated by the fractal cats as well as the fractal-sapiens. ; The sunny skies, low humidity and temperature of 81F 27C could ; hardly be improved upon. With a repeat expected tomorrow, the ; satisfaction should only increase. The next FOTD is due to ; appear almost by magic in 24 hours. Despite the disagreement ; of skeptics, magic does happen, so expect the next FOTD image to ; appear on schedule. Until next time, take care, and also walk ; with care. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Forever_Down_South { ; time=0:01:20.71-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=recip center-mag=+0.4122069256216793/-2.500438043275711/\ 2.156969e+010/1/90/0 params=1.5/0/11/525 float=y maxiter=1500 inside=0 logmap=208 periodicity=10 colors=00000K00K00K00K00K00K00K01K23I65H86IB9IFCHI\ EGLGFNIGRLLWOPaRUfUXkX_oYbr_dx_gz_izblzcnzdpzeqziq\ zlpzoqzrtzvxzyzzzzzzzzzzzzzzzzzzzzzzzxrztkxobqkYkb\ VbVcVQmjNwzTwsKwkPqgJqaGhT8`I0060bzzF0L008000F9zzT\ zFztIzWDzVIzTNzTRnRVaQ__PdWPgVNkTLkRKlPKnNIqLGtKGx\ LPtNVqPalQgfRn_RzVQzWQzYQzYPz_Pz_PzaNzaNxbNtdLtdLo\ fLofKlgKkgKgiKfiLbfL_dLWbLVaNR_NQWNPVNLTPIRPIQPGNP\ FLQFKQFIQFGQGFTLKVQPYVR_YWbb_dfdggiikllnqnotkqoiql\ gqifrfdrbbrYatV_tRYtPWvLVxGTyDRz9Qz6Pz2Qz1Rv1To1Vk\ 1Qg8NdFKbKGbQDaV9_a6Yg2Yl0Wr0Vx0Tz0Tz0Wz0Yz2_y8avB\ drGfoKgnPikTkgWndaoadqYirVltTglKdd9aY1YQ0VK0WP0YT0\ YY0_b0_g1al6bq9bvDdzGdzKbzIazI_zIczIpzIzzIzzIzzIzz\ IzzIzzIPzLPyPPrRPlVPfYP_aPTbPNfPGiP9lP2oP0rP0vP0xz\ zz0t02z9BzK4zP0zT0zY0za8zNVz8zz0zz0zz1zz4zzBzzGzzz\ zzNzzzzzzzzrzzdzzgzzazzWzz8zzFzzLzzzzzkzzFzz0zz8zz\ zzznzz0zz0zz4zzGzzdzz_zzF } 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|