; Date: Wed, 24 Aug 2011 23:15:24 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-08-11 (Two-Headed Monster [6]) ; Id: <1.5.4.16.20110824231549.1157a68a@pop.earthlink.net> ; --------- ; ; FOTD -- August 24, 2011 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the parent Mandeloid that results when the ; expression Z^(2.25)+C is iterated 1.2 turns up the complex ; logarithmic hyperspiral with the 'recip' function applied. This ; parent appears as a reasonably complete Mandelbrot set rotated ; 180 degrees, with 2 East Valleys and 2 fractalized main spikes, ; each graced with 2 large minibrots. The image is located in a ; knot on a minor filament extending from the southern large ; minibrot. ; ; The rating of a 6 is held down because I seem to remember a ; recent FOTD image that closely resembles today's, at least in ; the coloring. But even if this is true, fractals are still ; fractals, and today's image must be infinitely different from ; its earlier relative. ; ; The name "Two-Headed Monster" refers to the minibrot at the ; center of the image, which, even though it is not fully ; resolved, closely resembles the shape of its parent. ; ; The calculation time of 1-1/2 minutes is quite fast by fractal ; standards. In fact, more time is likely to be spent setting up ; today's parameter file than in running it. ; ; The image may be viewed without calculation however on the FOTD ; web site at: ; ; ; ; It is also available in high definition at: ; ; ; ; And the original FOTD web site may be accessed at: ; ; ; ; A mix of sun and clouds with a high temperature of 84F 29C and a ; nice breeze made things pretty comfortable here at Fractal ; Central today. The fractal cats, who survived the big quake ; yesterday, spent the day in meditation. The humans meditated ; about finding time to meditate. The next FOTD will be posted in ; 24 hours. Until then, take care, and fractals might be all in ; the mind of a Boltzmann brain. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Two-Headed_Monster { ; time=0:01:25.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip inside=0 center-mag=+1.5450423432411/-0.209605690560271/\ 6.688685e+012/1/35/0 params=2.25/0/1.2/0 float=y maxiter=1500 logmap=166 mathtolerance=0.05/1 colors=00040Z30X30V30T30R30P20N20L20K20I20G10E10C1\ 0A1081461753984AA5BC6CE8DG9EJAFLBGNDHPEJRFKUGLWIMY\ JN_KOaLPcOOeRNfSMgULhWKjYJk_JlaImcHneGpgFqiErkDsmD\ xkCviBtgBqeAncAkbAhaBecCbeD_hEXjHUkMRkRPoWNq`LteJu\ iHwmFzmDwjIqeMlcQeUUbJY_GaXEeUCdPAcK5bF0aA0`50_00Z\ GzzzkzCzzzlzErzzgzGmzzbzI_hJYhKVhLShHQgDLg9Gf58Z11\ Z70cD0hK0iR0iX5iZBi_DiaFicHidJifLigMiiOkjPmkQonRpr\ SrtTtwUvzVwdQiSMWFcI3h48m8CrBGrEKzIPzLTzOXXR`_VdbY\ ie`mgdqjgumjyomwljvjgthesebrc`paYo_WmXTlVRkTOiRMhO\ JfMHeKEdICcJIcJNbKSbKXbLaaLfaMk`Mp`Nu`NzdLxgKwjJvm\ IupHtsGsvFryEqxDpxCpxBpxBpxApx9px9pxApwCpwEpwGpwIp\ wKpwMpwOpwQpuSksUgqWcoYZm_VkaRicNgmIemEcmAbm6dmBem\ FgmJhmNimRkrWlr_mrcorgprkqronrmlzljzkhzjfzidzhbzgz\ zfzzezzdzzczzbzz_zzYzzWzzUzzSzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzDzzDzzDzzEzzEzzEzzFzzFz\ zFzzDzzCzzAzz9zz8zz6zz5zz } 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|