; Date: Sun, 03 Nov 2013 19:32:53 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 03-11-13 (Dolphin Circle [A-6,M-5]) ; Id: <1.5.4.16.20131103193430.2b57a4f4@earthlink.net> ; --------- ; ; FOTD -- November 03, 2013 (Rating A-6,M-5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a minibrot in the parent fractal that ; results when Z^(1.75) is iterated 2 levels up the hyperladder ; with no function applied. This parent rather resembles a ; termite half rolled onto its back, with its head facing ; northwest and a large but isolated minibrot lying just southeast ; of its tail. Today's scene lies a short distance to the ; northwest of this isolated minibrot. ; ; The name "Dolphin Circle" refers to the brilliant elements ; arcing around the northeastern perimeter of the central ; minibrot, which struck me as dolphins with their flukes spread. ; ; Since the image was found quickly and I put little effort into ; the coloring, I could rate the art no higher than a 6. The math ; worth remains a 5. ; ; The calculation time of 1-1/2 minutes is fast enough for all but ; the most impatient fractalists, who may choose to view the ; finished image on the web sites. ; ; The pre-rendered image is online at: ; ; ; ; and variations are posted at: ; ; ; ; ; ; ; ; Near total sun prevailed here at Fractal Central today, but the ; temperature of 48F +9C kept a chill in the air. The fractal ; cats took it easy most all day, Nico in the sun on his shelf, ; Jasmine nursing the leg she sprained when she took too great a ; leap from a high place. The humans meanwhile passed the day ; getting the house moderately ready for a winter that the experts ; say will be on the mild side. Hopefully the experts are right. ; ; The next FOTD will be posted in the appropriate time. Until ; whenever that might be, take care, and it's impossible for ; aliens to be visiting earth from another star system. The ; distances are too great and the speed of light is an absolute ; limit to travel through space. Unfortunately, the aliens have ; not heard the bad news. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Dolphin_Circle { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.09970158016/-0.558234463344/1571291 params=1.75/0/2/0 float=y maxiter=3500 inside=0 logmap=95 periodicity=6 mathtolerance=0.05/1 colors=000SVUVD4`VLmncfka_h`TeZMbYMSRIWUF_XCc_Cyz9\ fa6PS44K37I3AG3CE3FC3HA3F80J06HF9HOCEWFCdH8nIAlIBk\ I0iD0h83PE0dIHeMMeQReTWeX`e`eedjeit`hqcgoehphmzzfn\ jO_WQYXRWXTUYOIYUTY8NfXid_cYcYSUSLKPFUG8ZKJUB2_I3G\ J3MP3RU3W_3`d3kr3zz6zn3lkCngKpcTr_`zSisXhlageffZke\ SpdLucFzbHtcmncmhcmbcmXcmRcmLcm8kmzzmcWmcUmcOXXIfb\ Coh6dgBVgGKfLHbeDdYAfQ2bQ5eM7gJ9jF9k8BlCDmFFnIHoLJ\ pPLqSNrVOySPvVPsYQp_QnbRkeRhgSejSclT`3zpAymHrmUmmg\ kmejmdhmcgmaem`dm_cmZam``maZmbYmdWmeVmf6mjImhUmgem\ exxhpxdhx`axXmzTmzPmzLmzHhmMhmQhmVhmZMmcPmZGmcJmdL\ mdUmdcfemgeuYczudzgezolzmhzlemkbmjZmmWmtcmmYmmTmmO\ mmJmmEmmPmmamm_mmYmmfmmWmmLmm3mmBmmJmmRmmZmmfmmnmm\ vmmZzzBzzCzzDzzEzzFzzGzzHzzIzmGmqCmmJmmZmmUmmPmmLm\ mGmmCmmDmm4mmDmmLmmTmm`mmgmmhmzhmzhmzhmzhmzhmzfmzh\ mzimzjmzkmzlmzkmzmmznmzomzqezrezseztdzqdzndzkazocz\ ldzifzggzdhzajz_kzXlzVUzU } 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|