FOTD -- November 21, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: To find today's image we checked the parent fractal that results when the expression Z^(1.9)+C is iterated only one step up the hyperladder with no function applied. This parent consists of a reasonably recognizable Mandeloid rotated so that east faces south and twisted so that the main bud faces northwest. A very obvious but disconnected minibrot lies just southeast of the main bay. Today's scene lies a short distance north of this minibrot. I named the image "Random Searching", which describes the technique I used to dredge up today's scene. The minibrot at the center resembles the parent fractal rather closely, though I did not check to see if that disconnected minibrot exists nearby. The art rating of a 7 indicates that I am less than fully satisfied with today's image. The math rating of a 5 shows that nothing new exists in the math aspect. The calculation time of a little over 2 minutes will pass quickly enough. Those who like their fractals at turbo speed can check the web sites. The finished image is available on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The clouds that ruled the roost today kept things suppressed. The temperature, which began at 21F -6C and rose only to 43F +6C merely added to the chill. The fractal cats spent the day sleeping and playing. When ten-year-old Nico grew tired of play and eight-week-old Jasmine wanted to continue, we had to put her in the spare room to give Nico a break from the action. The next FOTD will be posted in a reasonable time, until then, take care and when one person's common sense contradicts another person's common sense, they cannot both be right . . . or can they? . . . Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Random_Searching { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.718487803007509/-0.01658645125406608\ /1.659661e+007/1/150/0 params=1.9/0/1/0 float=y maxiter=2500 inside=0 logmap=238 periodicity=6 colors=00000821942A63B84CA5DRBETCFVDGPE9RFCVFJZFEX\ FJRFIVFKcFHkFEaHBfI8jJ5nJ3pQArWHtaNvgUxm_ulXskVpjT\ niRlhcmh`mgZmfXmeVmdTmdQmcOmbMmaKm`Im`GmbImcKmdMmf\ OZgB`hDciFekHglJjmLlnNnpPqqRsrTusUrqTpyTznTzlTzjSz\ cTzeSzfRzhQziPzy9zz9zzAzzAzzBzqBjjRjkRjlRknPloNll7\ mm5no3Tj2`VSplbnhRhnFco3`m5Yk7Vi9TgBQRDNQFKOHINJFK\ L2CN0FO3EL18J8DHBCEDBCGDAIH7GG5NG3LI4JK5HM5FO6DQ7L\ R7JT8HV9FX9DZAB`B9aBdbJgbHicFldCneAqf8sf6TaPWdUZgZ\ ajcdmhgpmisrktsmttottqturtujkpcckXWfPNaIFXB7Scun7C\ QO`ZcxgboObg5Ye7Ud8QcAMbBH`DD_E9ZG5YHGJVR5gXOcaf`f\ yYbqUZiRVaNSVKONGKFDH8AMC9QG9VJ9ZN9bR8gU8kY8o`8hd6\ bg5Xn4cp3mz2cz1cz0czngeQb_XYVbcQhcUzcUzmUzmUzmUzzU\ WzUMzTazRivQprPwuUzmZzhZzhZzhZzcazchzchzchzmhzmhzm\ hzmbemefmhgmknmntmqqmtnmwlmzimzfmzdmzbmz`mz_mzYmzX\ mz_zzbzzfzzjzznzzrzzvzzyzzszzmzzhzzbzzYzzPzzHzz9zz\ DzzHzzLzzPzzXzzczzDzzMzzK } 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=========================================