; Date: Thu, 29 Jul 2010 23:19:40 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 30-07-10 (The Inner Circle [7]) ; Id: <1.5.4.16.20100729231935.143740cc@pop.mindspring.com> ; --------- ; ; FOTD -- July 30, 2010 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "The Inner Circle". The name has nothing ; to do with a secret society; it refers to the unusually well ; defined order-23 minibrot that nearly fills the frame. ; ; Actually, the minibrot has some mathematical difficulties. The ; minibrot itself has 22 lobes, which is just what would be ; expected; and there are 23 peach-colored elements immediately ; surrounding the minibrot, which is just as it should be. But ; beyond here things go drastically wrong, for there are only 20 ; fractal arms radiating from the minibrot, and this is certainly ; not the number of arms that should be there. ; ; The scene is located in the period-10 radical on the southeast ; shore line of the parent fractal, which on the surface is a ; perfect Mandelbrot set. I assume that the period-10-ness is ; somehow mixed up with the order-23-ness to create exactly 20 ; arms, though regardless of how I combine the numbers, I can't ; make it come out right. ; ; It really doesn't matter however. The minibrot by itself is ; impressive enough to rate a 7, which is no small feat for a ; fractal that is basically a glorified circle. ; ; The calculation time of just under 3 minutes will pass in a ; flash. The trip to the FOTD web site at: ; ; ; ; where the finished image is posted, will pass in half a flash. ; ; The image is also filled with numerous anti-minibrots. I might ; dredge up one and present it as tomorrow's FOTD. ; ; A morning shower was followed by partly cloudy skies, lower ; humidity and a temperature of 86F 30C here at Fractal Central on ; Thursday afternoon. The fractal cats agreed -- they stretched ; on the tile floor and slept until the sun went down. ; ; My day was busy; FL's was the same. The next FOTD will be ; posted in 24 hours. Until then, take care, and they say that ; nothing can escape a black hole. If this is so, how does the ; gravity escape? (It's an obvious question that I have never ; seen satisfactorily answered.) ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Inner_Circle { ; time=0:02:58.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=+0.334957790435/-0.046732876989/3.1e+008 params=23/1e+050/0/0 float=y maxiter=3200 inside=0 logmap=400 periodicity=6 colors=000omcombomaom`om_nlZmkYljXkiWjhVigUhfTgeTf\ dSecSdcRcbQbaQa`P`_O_ZOZYNYXMXWMWVLVULUTKTSJSRJSRI\ RQHQPHPOGONFNMFMLELKEKJDJICIHCHGBGFAFEAED9DD8CC8BB\ 7AA799688577566455344433622815A0AC5FEALGFRIIWKKZML\ _KM_IMWGLTEKQCINAGK8EH6CE5AB3882750620500500400300\ 300200100100000i1kf0hd0ea0c_0`X0ZV0WT0UQ0RO0PL0MJ0\ KG0HE0FC0C90A707405202LkpKipKhpJgqJfrIesIdtdiqchmh\ gimgerfaweZwdWwdWwcVwbVraUmaUm`Tm_SmZSmZRmYRmXQmXQ\ mWPmVOmUOmUNcTNWSMORLORLNQKMPKMOJLOJLNIKMHJMHJLGIK\ GHJFHJFGIEGHDFHDFGDEGCDFCDEBCDABDABC9AB99B89A88977\ 86786675565554454343332222121111000z1zx0vv0rt0mr0i\ p0en0al0Yk0Wh0Uf0Td0Sc0R`0PZ0OX0NV5MTALRFJQKIOPHMU\ GKZEJcDHhCFmBDr9Cv8Az78z66z45z33z26z1BzXFzWKzVPzUU\ zUZzTczShzRmzRrzQvzPzzPzzOzzNzzMzzMzzLzzKzzKzzJzzI\ zzHzzHzzGzzFzzFzzEzzDzzCzzCzzBzzAzzAzz9zz8zz7zz7zz\ 6zz5zz5zz4zz3zz2zz2zz1zz0 } 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 ;