FOTD -- December 02, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when Z to the power of 1.021897 is iterated at ground level of the hyperladder with no function applied. Not coincidentally, this value is the square root of the exponent of yesterday's image, and also the 32nd root of 2. The parent fractal of today's image closely resembles the parent of yesterday's image, though with less chaos along the edges of the large bay, which is shaped much like an elephant seal with a large pendulous nose. Today's image is located in the chaos near the straight southern shore line of the large bay. The amount of semi-organized detail in the scene is unexpected in a fractal created by an exponent of 1.02..., but images do not lie, and the stuff in today's image did not come from nowhere. (Or did it?) The name "Thirty-Second Root" refers to the exponent of Z. The art rating of a 7 indicates that the image is worthwhile, though perhaps not as striking as some past fractal scenes. The math rating of an 8 shows that the amount of detail in the image is quite unexpected. The calculation time of 1-3/4 minutes will pass quickly enough. For convenience, the image has already been calculated and posted to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Variations are available 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> A cloudy sky and temperature of 41F +5C made today entirely un-notable here at Fractal Central. The fractal cats, who are not quite ready to share the window shelf, took turns watching the outside scene. The fractal humans, who wonder what the world is coming to, kept their wonder alive by watching the TV news at lunch time. The next FOTD will be posted soon. Until whenever that might be, take care, and when people dislike a big corporation, they usually fight it by organizing a boycott against the corporation's products. The big oil corporations certainly are disliked, even hated, so where are the cries for a boycott of products derived from petroleum Jim (they got us hooked) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Thirty-Second_Root { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-7.97709/-0.623008/9.910814/1/33/0 params=1.021897/0/0/1500 float=y maxiter=3500 inside=255 logmap=106 periodicity=8 colors=000A0HA0JA0LA0NA0PA0RA0TA0RA0PA0NA0LA0JA0HA\ 0FA0DA0CA0D00C00C00I00I00I00I00J00J00J00J00L00L00L\ 00L00M00M00M00M00O00O00O00O00P00P00P00P00R00R00R00\ R00M00O00P00R00S00U01W02X04Z05_06a08c09d0Af0Ch0Di0\ Er0Et0Gu1Hw4Jz5Kz8Kz9MzCOzDPzGRzHRzKUzMXyO_tPaoRai\ SadUa_WaWZaR_aMaaHcaDda9fa5ha1iZ0kW9mPMmESo5Zr0Sp0\ Mf0EX18O44G658850A50D50E50J60M81P95UAAXCG_DMcERhGX\ kHcoJiwJhrKfmMdhOccPa_R_WSZRUXMWXJW_DUa9Sc4Rf0Ph0O\ i0Of0Jc4Ea9AZG8WO4UU0Ra0Ph0Ma2JWCGRKDKWrMdrMprMzrM\ zrMzrMzrMwrMvrMtrMrrMprMmrMkrMirMhrMfzaczaaza_zaZz\ aXzaWzaZzaazadzahzakzaozarzavzayzazzazzazzazzazzaz\ zazzazzazzazzazzazzazzazzazzazzazhrzcrzZrzUrwRrrMr\ mHriardarZaraardarharkryorzwrzrrzmrzirzfrzarzZrzWr\ zPrzSrzUrzXvzZyzazzczzfzzhzzizzZzzPzzMzzazzizzrzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzaaa } 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=========================================