; Date: Wed, 15 Aug 2012 13:12:35 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-08-12 (Penultimate Zexpe [8]) ; Id: <1.5.4.16.20120815131621.2b67865a@earthlink.net> ; --------- ; ; FOTD -- August 14, 2012 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; As the name of today's image, "Penultimate Zexpe", implies, it ; is the next to last in the series of Zexpe images, and is also ; supposedly the next to best in the series, with tomorrow's image ; hopefully being the best. The problem is that I have not yet ; found an ultimate Zexpe, and am not sure that I will find one. ; ; The parent Zexpe fractal came about when I brought up the ; TrueMandelbrotBC formula and checked a mere 1/2 level down the ; hyperladder. This parent is shaped much like the minibrot at ; the center of today's image. It is rotated so that the single ; large bud lies on the southwest side of the main bay. A main ; spike, much like that of the Mandelbrot set, emerges from this ; large bud, and a large minibrot lies on this spike. A field of ; smaller mis-shapen minibrots is scattered mostly north of this ; minibrot, with today's scene located in a valley of one of these ; smaller minibrots. ; ; The pattern surrounding the minibrot in today's image is unlike ; anything found in the M-set. It holds almost no recognizable ; near-doubling series of elements. The image holds many smaller ; minibrots however that are withing reach. Some of them might be ; interesting, though I have not yet checked. ; ; I feel that the rating of an 8 is justified, mostly because ; today's image truly is something different. ; ; The calculation time of 3 minutes borders on slowness. ; Hopefully, the result will make the effort worthwhile. ; ; The finished image may be viewed without the task of calculating ; it by visiting the FOTD web site at: ; ; ; ; A high-definition rendering is online at: ; ; ; ; The back FOTD's are available at: ; ; ; ; Lots of clouds but some sun and a temperature of 84F 29C made ; today a typical mid-august day here at Fractal Central. The ; fractal cats took it easy most of the day, with only a minor ; interruption as Cassie had a hairball attack. When the hairball ; was eliminated, all went well for the rest of the day. ; ; The humans had a typical day, which makes for relaxing living, ; but hardly supplies material for an exciting novel. The next ; FOTD will be posted in a typical length of time. Until when- ; ever, take care, and all we need is for one single unexplained ; UFO sighting to be a space craft of visiting aliens. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Penultimate_Zexpe { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=TrueMandelbrotBC center-mag=-0.4253781\ 781908645/-1.336766771358537/8.92526e+007/1/156/0 params=2.71828182845905/0/-0.5/0 float=y maxiter=5000 inside=0 logmap=394 periodicity=6 colors=0009KAKKABKAMKADKAOKAFKAQKAHKASKAJKFUKFLKGT\ NANKANPAJPAEP89PIOP2WU9LU8KU7IU7HU6FU6EU5CU5BU4AR3\ 8N37J25F24B127113025714614614513513413412302302201\ 2011011000000uGmqEimDfiCceB_aAXY9UU8QR7NN6KJ5GF4DB\ 3A726313wI1hD0U90F40CpzBmwAktAiq9fo9dl8bi8_f7Yd7Wa\ 6TZ6RW5PU5NR4KO4IL3GJ3DG2BD29A168145022EQGDOFCNEBM\ DBKCAJC9IB9GA8F97E87D86B75A6495474364253232121010d\ ycat`ZpYWkVTgSQbPNZMKVKHQHEMEBHB8D8585242y8dt7`o6Y\ j6Ve5Sa4PX4MS3IN3FJ2CE19`zzUzz0ys0to0pk0lg0hd0d`0`\ X0XT0SQ0OM0KI0GE0CB087043JNyGJpDGgADZ89Q56H238ujum\ dmfZf_T_TNTLHLEBE757za4nR3YM2QG2HB1850SmbQj`PhZOeX\ McVLaTKZRzzzpeesfazwZzwWzwUzwTzgSngRkfQifOffNdfMae\ LZeKXeIUeHRdGPdFMeEKfCHgBEhACi99j87k7Ul6Um5Un5Uo4c\ p4cq3cr3cs2ct2cu0mv1mw1mx0myIzzGzzEzzczzczzmzzmzzm\ zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:TrueMandelbrotBC { ; Most accurate multi-valued complex logs e=p1, a=imag(p2)+100, p=real(p2)+PI, q=2*PI*trunc(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|