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: <http://www.crosscanpuzzles.com/Archives.html> and variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> 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|<a } END PARAMETER FILE=========================================