FOTD -- June 03, 2016 (Rating A-8,M-9.5) Fractal visionaries and enthusiasts: Hopefully, I now have the dates in order. These mixed-up dates are what happens when I find fractals on one date and post then on a different date. Today's FOTX shows a rather colorful basin of attraction around a minibrot near the tip of the negative X-axis of a Mandelbrot set that has been corrupted in its depths by mathematical energies of the sixth order. But look closer! Something is not right. The color palette rotates in the wrong direction. The point at the center is not a pit that wants to suck everything into a minibrot at its center; it is a hill that repels everything from the peak at its center. And the number of elements converging on the center does not keep doubling in powers of two as we go inward; it keeps being divided in half, from 16 at the outer edge to 2 at the center. And the actual center is not an open hole; it is a blank area of the lowest iteration count surrounded by higher iteration stuff -- an anti-minibrot! Unfortunately, the center part of the image lies beyond the range of resolution, but we can come close enough to see that the number of elements there has divided to 2. Nothing lies beneath the number two but the ultimate fractal oblivion of unity. One problem of today's anti-minibrot is that with the higher iteration stuff lying around the edges, Fractint's automatic logarithmic color palette, which is activated by entering the numeral 2, does not work. It leaves the center of the image, where the number of elements divides to two, a featureless flat area. This curiosity is not too bad in today's image, but I have seen it result in an almost totally blank screen. Most of the shapes in the image were created by rendering it with the outside set to 'tdis', which colors the points according to how far they have traveled before escaping. (The points closer to the center of today's image have not gone very far.) The extra brilliancy of the colors was created in a separate color manipulation program. (It's not a sin, since Fractint drew the shapes.) In my opinion, the art value of the image rates an 8. Its vivid colors put it at least a little above the average. But the math rates a superlative 9.5, since these anti-minibrots are some of the most unusual things I have yet discovered in the world of fractals. The day here at Fractal Central left much to be desired. The high temperature of 79F 26C was fair enough, but occasional rain kept a damper on things. The fractal cats spent the day in the watch window, watching for other cats. The other cats spent the day keeping dry. The fractal humans simply made it through another day with nothing unusual happening. The next FOTD will be posted whenever it is. Until that unknown moment arrives, take care, and watch for those quantum erasers. No one knows exactly what they might do. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Anti-Minibrot { ; time=0:01:09.81 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.987114419686404/+0.00000000031660164\ /3.8e+011 params=6/1e+020/-12/0 maxiter=1500 inside=0 outside=tdis mathtolerance=0.05/1 colors=000z0000Az00z00z00x00x00v00u00u00s00q00q00o\ 00m00xzuzzsozubzuNzvAvviHzz0zz0zzAzzRzzezzuzzvzzvz\ uvzmxvgxo`xgVxbib`xH`z0Zz0Zz0bz0dz0ez0gz0iz0kz0mz0\ oz0mz0mx0ms0ko0kk0kg0md6o`HqXTsTduPovLzxHzzGzqGziG\ z`GzTGzJGzC2Z4zzz000000200600A00E00H00zu0N60PC0RJ6\ TRCVZHHH4PzzXdLdoTkzbszi4T0qbZzbbe0TbezA0ALgddmouc\ xzvzzzzmMUT00Z60XG0JP08000000de0zz0zz0zz0zz0zx0zo0\ ne0_X0hPbq0ZH0mqZemR`iLVgGNdAH`4CZ0JZ6RZEXZJbdReiX\ iodmuiqzouzvxzzzzzmzzZzzJzz4zz0zz0zzPGoGTH6e02N404\ N00d00`64XCETHLPNVLTdHXkEZdAZX6ZP4ZJ0ZC0Z40Z00Z00N\ 0ZE8z0To0mP0z00z00z08z0Jz0Vz0ez0qz0kvNeeg`PzX8zP6z\ H6zC4z44z04z02z02z02z0AzGGzXNvoTmzZdsz6gzEXmJLZPCH\ X02b00g00m0GP0v0Cz0Pz0bz0oz0zz0zT2z0HsVmLzzXxzgisq\ XezHVz2Hz06z04z04z04z04z02z02z02z02z00z00z00z00z00\ z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z0\ 0z00z00z00z00z00z00z00z00 } 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=========================================