FOTD -- March 09, 2012 (Rating 7) Fractal visionaries and enthusiasts: The math energies behind today's image mix 11.25 parts of Z^(-0.5) with 0.1125 part of Z^(-25) on each iteration before adding reciprocal C. This weird combination creates a parent fractal consisting of a circular sea of radius 0.4 centered a little below the negative X-axis, with something resembling a blob-tree sprouting from the eastern shore into the empty interior. Today's image lies in the detail of a tiny bud- radical at the tip of this fractal tree. I named the image "The Vast Unknown", which refers more to the scientifically unexplored inner space of consciousness than to the outer space of the cosmos or the infinite virtual space of fractals. A good part of the image consists of inside stuff. More work on the coloring, especially trying other inside coloring options, might have raised the rating. However, using laziness as an excuse, I declined to exert the effort. The image earns a rating of a 7, another average rating, which makes the calculation time of 3-1/2 minutes a rather poor bargain. The FOTD web sites are a better deal than running the included parameter file. Relief from calculation boredom may be found at the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High-definition relief is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire FOTD history may be found at: <http://www.Nahee.com/FOTD/> Fractal Central experienced a brief return to winter today, with heavy scudding clouds, occasional flurries of half-melted snow and a temperature of 41F +5C, which caused the house heat to come on. The local fractal cats abandoned hope of sun well before noon, and spent the afternoon enjoying the warmth of their shelf by the hallway radiator-convector. The humans had an above average day, especially FL, who received well-deserved kudos for a recent design job. The next FOTD is scheduled to be posted in 24 hours, give or take a few, but tomorrow is Saturday, the day we humans reserve for fun stuff, so there is no guarantee that it will appear as scheduled. Until whenever, take care, and believe it or not, some hard-core skeptics actually claim that there is no such thing as human consciousness, because it cannot be put on a table, dissected and studied scientifically. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= The_Vast_Unknown { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.32662688881943/+0.00896919862832411/\ 1.932931e+012/1/97.5/0 params=11.25/-0.5/0.1125/\ -25/0/0/0/0 float=y maxiter=420 inside=0 logmap=164 periodicity=6 mathtolerance=0.05/1 colors=000n6aj5Y`4Qc4UX3MW3MR2JQ7VI1BKAcF0AJBoPiwG\ DrAgtAPt4bx3Xt3Yp3Vl3Th2Qd2Oa2LY2JU1HQ1EM1CJ19F07B\ 047023DFYBDT9BP89L67H45C338114mzzZqzUORozzgkzcch2e\ a1UJVmzSmuQmpNmkLmfJUaGUXEUTBUO9UJ7UE4U92U48Ud7U`c\ cYccUccRccNccKccHccDccAcc6cc3ccCcc8cc6cc4cc3cc1mmD\ mmBmmAmm8mm7mm5mm4mm2mm1mmZmmTmmNmmHmmBmm5mmuwzowz\ jwzewz_wzVwzQwzLwzFwzAwz5wz_wzXwzUwzRwzOwzLGzIDzFA\ zC8z95z62z3UzlQzeMz_IzUFzOBzI7zC3z6ozufzkYzaQzTHzJ\ 8z9KzNYzRVzPTzNRzLOzJMzIKzGIzEFzCDzABz99z76z54z32z\ 1rzwkzodzhYz`RzUKzMDzF6z7SzGLzCEz87z4xz9qz8jz7cz6X\ z5Rz4Kz3Dz26z1zz7jz5Vz3Fz1izuezpbzl_zhWmdTm`QmXNmT\ JmO_mMbmNemPhzRkzSmzVnzYoz`pzcqzfrziszltznmzifzd_z\ _TzVMzQFzL8zG2zB1zA1z91z21z81z71z61z50z50z40z30z20\ z10z0`z3Tz2Mz1Ez17z0qzJkzGezE_zCUzAOz8Iz6Cz46z2izP\ ezNbzL_zKXzIUzGRzFOzDLzBIzAFz8Cz69z56z33z1MzSKzPIz\ MGzKEzHCzFAzCzzz6z7wzc2z2 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================