FOTD -- September 02, 2010 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image shows a minibrot in the East Valley of the second largest minibrot on the main spike of the Mandelbrot set. Yes, yes, I know that the parent fractal is not exactly a Mandelbrot set, nor is the thing at the center of today's image a fully- formed quadratic minibrot. The parent fractal is a M-set only on its surface. Deep inside, where today's image lies, it takes on Z^1.99 characteristics. And yes, I realize that the conventional Z^1.99 Mandeloid has a very rudimentary main spike, but the negative value of the second parameter in today's formula reverses things, and instead of absorbing the spike, broadens and fractalizes it, as would be expected in a Z^2.01 Mandeloid. I named today's image "Disgraced Minibrot". The sorry excuse of a minibrot at the center of the image certainly is a disgrace to minibrotdom. Actually, it is more of a Z^1.99 minibrot than a Z^2 one. And I'm also uncertain as to whether it's a fully critical minibrot or a perturbed one. Whatever it is, its sur- rounding pattern is unexpectedly striking. The mini-something at the center does indeed deserve a closer look, though that will have to wait for another day and another FOTD. Quite a bit of the rating of an unusually high 8.5 was earned by the coloring, an aspect of fractals to which I have been giving more attention lately. The calculation time of 2-1/2 minutes is reasonable, but if this is still beyond reason, check the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> An episode with a bit of political opinion is included at the bottom of the parameter file. Those who prefer to avoid the annoyance of dissenting political views should not venture there. Too much heat and increased humidity made Wednesday a forget- table day here at Fractal Central. The high temperature of 95F 35C was anything but comfortable, a fact that the fractal cats could agree with as they stretched on the cool kitchen floor. Except for a minor political squabble with FL, my day was fair enough. The next FOTD will be posted in 24 hours. Until then, take care, and I became a cynic because I prefer to be right. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Disgraced_Minibrot { ; time=0:02:31.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.473095230132326/+0.00006497802277321\ /2.0663e+007/1/-175/0 params=1.99/-1000/0/0 float=y maxiter=2250 inside=0 logmap=262 periodicity=6 colors=00030640851A62C73E84G95IA6KA7MA8OA9QAASAAUA\ AWAAYAA`AAbAAdAAgAAiAAkABnACpACrCEqDFqFGqGHqIJpJKp\ LLpMMpONpPPoRQoSRoUSoVToXVnYWn_Xn`YnaZnZYmXYlVXkTX\ jRXiPWiNWhbYnb_nbSibKdbD`YMWUURPaNLiIHqEQn`Ykwcmpi\ ojnpdtrZysTurVqqWmpXipYeo_an`YnaUmbQlcMkeIkfEjgAih\ 6ii4W`2IS14KRI`TNbURdVWeW_gYciZhj_ll`pmankaljakiai\ haggaffadeacdaaca_baZaaX`aW_heeonkuwqssnqokokhngfl\ ccj_`hWYgSWcRTZUQUXOPZNK`MFbLAd0Cf0Eh0Hj0Il0In0Kp0\ Mr0Ot0Rv0Ux0Zz0Ux2Pu4Kr65o84lA4gC4cE4_E4VE3OE2LE3I\ F3GF3EF3FF4HG4IG4JG4KG4KGKWNMUMNSLORKPPJQOIRMHTLGU\ JFVIEWGDXFCYDBZCB_IA`OAaUAa_AbeAckAzzAzzAzz9zz8zz8\ zz7zz7zz6zz5zz5zzUztKzhBrbHneOkcUg`_dZf`WlYUrUPlQL\ fMHcI7cO4cZ4cc0cc3cc5cc8ccAccChiFnpHtvJzwIzxKzyKzz\ UzzUzzUzzUzzczzczzczzczzczzczzczzczzczzczzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE========================================= While watching the news at lunch break on Wednesday, FL said something about how disappointed everyone is in the failure of 'superpresident' to fulfill his campaign promises. Unable to control myself, I answered that not everyone is disappointed. Some people saw through the feel-good talk and realized that nothing was behind it. Expecting nothing, how could they be disappointed when nothing was delivered. FL then accused me of boasting, and entered sulk mode. . . . See you soon! Jim M.