; Date: Tue, 22 Apr 2014 17:25:54 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 22-04-14 (Broken Perfection [A-7,M-6]) ; Id: <1.5.4.16.20140422172543.2b77acd0@earthlink.net> ; --------- ; ; FOTD -- April 22, 2014 (Rating A-7,M-6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "Broken Perfection". The reason for the ; name is readily apparent in the image, which shows an almost ; perfect ring around a minibrot. The ring resembles a donut- ; shaped planetary nebula puffed off from a dying star, but look ; closer. The ring is broken on its east side by a discontinuity ; that is caused by the fractional nature of the Z^(10.5) exponent ; and extends all the way to the central minibrot. ; ; The 9-1/2 bays of the minibrot point to an exponent of 10.5, ; while the 10-1/2 elements in the ring confirm the deduction. ; ; The location of the scene is at the edge of a larger but still ; order-10.5 minibrot on the main spike of the parent Mandelbrot ; set, just east of the prominent large quadratic minibrot. ; ; The art rates a 7, mostly due to the modicum of extra effort I ; put into the coloring. I could rate the math aspect no higher ; than a 6, especially after noting that we have been exploring ; this math trick for over a week. ; ; The calculation time of merely forty seconds makes up for any ; deficiencies however. This time will pass faster than Ali ; Baba's forty thieves. But there is no danger, since the web ; sites will keep the thieves at bay, at least for those who ; choose to take shelter there. ; ; The web sites are online at: ; ; ; ; ; ; ; ; ; ; Heavy clouds and light rain spoiled things here at Fractal ; Central today until the sun broke through in mid-afternoon. The ; temperature of 68F 20C was mild enough, but with the house heat ; turned down, the fractal cats would have preferred more sun. ; The humans had a thoughtful day. While I was out walking, I ; noticed that the trees in the town square are still as bare and ; bleak as in midwinter, and it's only one week until the month of ; May, when trees are usually in full leaf. ; ; The next FOTD will be posted in 24 hours or whenever. Until ; then, take care, and at this Easter time I hear of a decline in ; religious faith. The decline is nothing new, but could it be ; driven by the fact that among the over-educated, religious faith ; is widely seen as a vestige, which is now little more than a ; comforting diversion from reality clung to by the under-educated ; and easily disproved by scientific study and rational thought? ; ; ; Jim (both Theist and Atheist) Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Broken_Perfection { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip inside=0 center-mag=-1.741394475156175/+0.00000405269130397\ /2.773655e+012 params=10.5/1e+020/0/0 float=y maxiter=400 periodicity=6 mathtolerance=0.05/1 colors=000zdkzmsznlznezo_zoTzoNzoKzoHzfFzZDzRBzJ9z\ B7z35z4Ez5Mz6Uz7az8izA4z9Ez8Oz7Yz7fzEczKazRZzXXzcV\ ziSzpQzvOzqQzmRzhTzdUz`WzWXzSZzPYzO_zN`zMazLbz5xzD\ mzLczTUzcEz`KzPEzUKzZQzcWzhazmgzrmzwtzvszvrzvqzvpz\ vozvnzvmzzqzyozvlztjzrhzpfzzzzzzzzzzzzzzyzzxuzwrwv\ ouulsthqsbprZoqWlpTkoQjnNimKhlHgkIfjJeiKdhLcgMbeNa\ bO`_PZYQXVRUTSPQQLOLJLJGJGEGDAEB9CA79757725404NA4T\ F4YK4bP4gU4kb4ph4vo4zv4zzcztevtxjowZjwOfwVMbW1IU3K\ S5LQ7NP9ONBQLDRKFTIGUGIVFKXDMYBO_AQ`8Sb6Uc5Vd6Ue6T\ ezSezRezQezPezOezPdzQdzQdzRdzSdzUdzVdzObzSczWdz_ez\ cezgfzkgzohzshzdYzROzDEzJIz2EzOLzgEzhLziSzjYzkdzlk\ zouznszmqzlpzknzjlztnzolzjkzfizahzXfzTezOczKbzO_zR\ YzcFz`JzXNzURzRVzOZzPdzPjzQpzQvzOtzNrzMqzLozKmzJlz\ IazISzIIzFGzDEzBCzKKzTSzzzzX`zS`zN`zI`zD`z8`z4`z5U\ z6Oz7Hz8Bz85zCBzFGzIMzLRzOXzRazUgzXlz0mz7kzEizLhzS\ fzZdzdczSUzGLz4CzELzNUzWb } 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;