; Date: Sun, 06 Jul 2014 14:48:35 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 06-07-14 (Donut World [A-8,M-7]) ; Id: <1.5.4.16.20140706144958.2ba76ede@earthlink.net> ; --------- ; ; FOTD -- July 06, 2014 (Rating A-8,M-7) ; ; Fractal visionaries and enthusiasts: ; ; Today's FOTD image lies in the parent fractal that results when ; the expression Z^(1.9)+C is iterated 19 levels up the complex ; logarithmic hyperspiral with no function applied. (I chose the ; value of 19 whimsically.) This parent resembles a distorted ; Mandelbrot set rotated so that its main spike points to the ; southeast and its East Valley lies on the northwest side of the ; main bay. Today's scene lies in one of the curious square ; shaped areas of chaos on the southwest side of the valley. ; ; The unusual donut-ring effect was created by rendering the image ; with the outside set to 'fmod' which draws the overlapping ; circles. The name "Donut World" refers to these rings of ; fractal stuff. ; ; The art rates an 8, which might be a bit exaggerated, since I ; doubt that the hasty color work is the best I could do, but the ; math rating of a 7 seems about right. ; ; The calculation time of 2-1/4 minutes is near FOTD average. The ; average amount of time may be saved by checking the finished ; image on one of the web sites. ; ; The web sites may be accessed at: ; ; ; ; ; ; ; ; ; ; For all who have an interest in such things, the weather here at ; Fractal Central was totally perfect today, with photoshop blue ; skies, brilliant sunshine, low humidity and a temperature of 84F ; 29C. The fractal cats, living the indoor life, took the outdoor ; conditions in stride; the fractal humans passed the day spending ; more time outside than usual. ; ; The next FOTD will be posted in either one, two or three days. ; Until whenever, take care, and let's combine all the world's ; religions, average out all the beliefs, and see what we come up ; with. The way it is now, there are so many different and con- ; flicting religious beliefs that any thinking person, especially ; in our materialistic science-based culture, must wonder if there ; is any real truth at all behind the world's different religious ; teachings. Such doubt could easily be the reason so many lash ; out in anger when their religious beliefs are questioned or ; denied. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Donut_World { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.249919982284546/+0.07730680874550416\ /3.250118e+009/1/122.5/0 params=1.9/0/19/0 float=y maxiter=2400 inside=0 proximity=0.068 outside=fmod periodicity=6 colors=000jZfk`fkbgkdhlfjlimllpmosmrwmuzmxzlvzltzk\ szkqzkpzjnvjmsjkoijlihliglhelhclgblg`lg_lfYlfXlfVl\ eUldSlaSlZRlWRlURlUSoURlUQjUPgUOeUNbUM`ULYZMYXKWWJ\ VVIUUHTTGRSFQQDPPCOOBMNALM9KL8JK7IL6KM6LM6NN6OO6QO\ 6RP5TQ5UQ5WR5XS5ZS5_T4aU4bU4dV4eW4gY2pX3lW4hV5eU6a\ T7YS8VR9RQANPBKOCGNDCI70LA5ND9PGDRIHTLLVOPXQTZTY`W\ abZed`ifcmhfqjhuPNmRPkSQjTSiUThVUgWWfXXeYZcZ_b_`aa\ b`bc_cdZdfYegWfiVgjUhkTimSjnRrpRnoQkoQhoQdoPaoPZoP\ VnOSnOPnOLnNInNFnN7pHCnNGlSKjXOhaSffWdk_bpcbwc`ucZ\ scYrcWpcVncTmcSkcQicPhcNfcMdcKccJacH_cGZcEXcDVcBUc\ ASc8Qc7Pb9QbBQbDQbFQbHRbJRbLRbNRWXOZUP`RQbORdLSfIT\ hFUjCVl9Wn6Xs4Xp3Ym3Zj3_h3`e3ab3a`3bY3cV2dT2eQ2eN2\ fL2gI2hF2iC0kD2iE3hE4fF5eG7cG8bH9`HA_ICYJDXJEVKFUL\ HSLIRMJPMKONMMONLOOJPPIQRGQSFRTDRW6RUCSSHTQNUPSTNY\ SLbRLpQKkPKgOJcNJ_MIWLISKINJHJIHKHGLGGMFGNEGODGPCI\ QBKRAMS9PT8RU7TV6UW5VX4WY } 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|