; Date: Sat, 05 Jul 2014 08:43:56 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 04-07-14 (Cloven Hoof [A-5,M-7]) ; Id: <1.5.4.16.20140705084518.2b9f8332@earthlink.net> ; --------- ; ; FOTD -- July 04, 2014 (Rating A-5,M-7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a scene in the Mandeloid that results when the ; expression Z^(2.1)+C is calculated only 1 level up the ; hyperladder with no function applied. This parent fractal ; vaguely resembles a Mandelbrot set rotated 180 degrees with an ; unusually broad Seahorse Valley neck. Today's scene lies in the ; Seahorse Valley of a larger minibrot on a filament extending ; from the period-4 bud on the south shore line of the main bay of ; the parent fractal. ; ; The large open area at the center is actually an order-2.1 ; minibrot, but judging from its cloven-hoof shape, one would ; never guess it. The shape of this minibrot of course, is the ; reason for the name "Cloven Hoof". ; ; The appearance of such an unlikely shape in such an unexpected ; location hints at the presence of the forces of evil. The ; cloven hoof has long been symbolically associated with evil and ; especially with the prince of evil himself -- the devil! ; ; I myself have no belief in an anthropomorphic devil, which to me ; is a symbolic representation of the inherent weaknesses of ; humanity, though there are certainly enough people in this ; bible-belt area of Pennsylvania who still do believe in such a ; being, and actually try to convince others that he does exist ; and is waiting to receive their condemned souls if they do not ; change their ways. ; ; So, at the risk of eternal damnation, I present today's image in ; a frivolous manner. The cloven hoof is certainly only a curious ; accidental shape, or could it be that . . . ; ; The art rates a 5. I don't want to give the devil more credit ; than he already has. The math rates a 7. Could it be possible ; that demonic forces have already worked their way into the realm ; of numbers? ; ; With a calculation time of 20 minutes, the image is surprisingly ; slow. Some of this could be due to the maxiter of 4200 . . . or ; could it be a sign that the forces of evil are already infecting ; the image? ; ; The finished image is posted online at: ; ; ; ; ; ; ; ; ; ; Rather unusual Independence Day weather prevailed today here at ; Fractal Central. The usual conditions are haze, heat and ; humidity with a threat of rain on the fireworks displays. But ; today brought photoshop blue skies, puffy white clouds, low ; humidity and a temperature of only 73F 23C. The fractal cats ; would have enjoyed the day if the occasional firecracker ; explosions had not kept them on the alert. The humans enjoyed ; the day anyway. ; ; The next FOTD will be posted in a day or two. Until whenever, ; take care, and why is it so hard to separate the good from the ; evil in the real world conflicts? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Cloven_Hoof { ; time=0:18:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.1295944794436635/-0.6498524308254613\ /6.627618e+008/1/-62.5/0 params=2.1/0/1/0 float=y maxiter=4200 inside=0 periodicity=6 colors=0004TD3RC3QC3OB3NA3LA2K968q6Br6Dr6Gr6Ir6Ls6\ Os6Qs7Tt7Vt7Yt7_t7bu7eu7gu7jv7lv7ov7qvDpnJpfPpZVoS\ `oKfoCko5ln4mn4nn4nn4om4pm4qm4qm4rl3sl3tl3tl3uk3vk\ 3wk3wk3vj4ui4th4tg4sg4rf4qe4qd4pc5oc5nb5na5m`5l_5k\ _5kZ5jY6iX6hW6hW6gV6fU6eT6eT6dW9cYBc_DbaGbcIaeK`gN\ `iP_kR_mT`kR`jQ`iP`hN`gM`fL`eKadIacHabGaaFa`Da_CaZ\ BbY9bX8bW7bV6bU4bT3bS2bR1cS3dS5eS6fS8gS9hSBiSCjSEk\ SFlSHmSInSKoSMpSNqSPrSQsSStSTuSVvSWwSYwSZdPPMNFOLI\ QKLSJOTHRVGUXFXYD__CbaBeb9hd8kf7ng5qi4tk3wl2zn1rp1\ kr1dt0Yv0Rx0Kf2LP4M76NwW5sT4oR4kP4gN3cL3_J3WH2SE2O\ C2KA1G81C61840420Kw1Dc06K02wQ1oM1hJ1`G1UD0M90F6073\ dpX`kUYgRVcPS_MPWKMSHIOFFKCCGA9C7685342sc_o`XlZViW\ TeURbSP_PNWNLTLJQIGNGEJECGBAD98976644322CKbBJ`AIZA\ HX9GV9FT8ER7DP7CN6BL6AJ59H48F47D36B359247135123011\ Qj2Og1Ne1Mc1La1JZ1IX1HV1GT1EQ1DO1CM0BK09H08F07D06B\ 04803602401205ZG4XF4WE4UE } 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|