FOTD -- September 20, 2002 (Rating 7) Fractal visionaries and enthusiasts: To produce today's image I took 1/10 part of 1/Z and subtracted 1-1/10 parts of Z^1.1 from it. The resulting fractal consists of two distorted Mandelbrot sets sitting side-by-side in the upper half of the screen. The two sets are distorted in different ways. The set on the left lacks a prominent period-2 bud, while the set on the right has its period-3 buds shifted almost into East Valley. There are mathematical reasons for these distortions, which are beyond the scope of this discussion, (meaning I don't know the reasons), but the inner details of the two sets are much the same as the familiar M-set. To find new and interesting types of midgets, one must get away from the familiar. Checking today's parent fractal, I noticed that a large quantity of fractal debris is scattered between the two large Mandeloids. Today's scene is located in this debris. I named the image Red-Green-Blue, since it has large quantities of these primary colors in it. The blue midget is surrounded by a reddish aura, which in turn is surrounded by a field of greenish stars against a black background. The whole thing could be worth a rating of 8, but, looking at the result, I get the impression that I tried too hard on the coloring. The actual rating of an above-average 7 seems just about right. The render time of 7 minutes is acceptable, though still a bit slow. As always, the completed GIF image will soon be available on the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> I am considering whether to resume posting the FOTD images and discussions to: <alt.binaries.pictures.fractals> I realize that posting to usenet is an invitation to spammers, but every spammer on earth must already have my address, and the most it can mean is a few more strikes of the delete key. Besides, my FOTD-CD will soon be ready, and I'll need to give it a little publicity. The weather Thursday here at Fractal Central was unnotable . . . except to the dynamic cats that is. The cloudy skies, tempera- ture of 79F 26C and the moderately high humidity were a bit too much for their comfort. They would have preferred drier air, more sun, and a temperature a few degrees cooler. But despite their discomfort, they managed to spend over an hour in the yard, watching the squirrels gathering nuts and remembering the days when they had the energy to actually chase and maybe even catch a squirrel. As for me, I definitely have the energy and the work to expend it on. But if I don't get started, I'll never finish. So until next FOTD, which will arrive in two days on Sunday the 22nd, take care, and don't have an out-of-fractal experience. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Red-Green-Blue { ; time=0:07:23.47--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.57333997680331930/+0.623010026257395\ 70/2.47078e+009/1/-67.5/-0.000842505711319684047 params=0.1/-1/-1.1/1.1/0/0 float=y maxiter=1000 inside=0 logmap=152 periodicity=10 colors=000Dj3Cg3Cc4BZ5BV5AR6AN69D703800800900900B0\ 0C00DN7FQ7GU7HX7J`7Kc7Lf8Sh9XkA_mBcpChrDluEqwFwtEs\ rDooCkmBhjAeh9be8Yc7P`6MZ5JMEZ9MmITpR_r_ethlvqsxzz\ zmiwbUuUXXQUcMRiIOoEMuFKsGIrHGqHEpICoJAmK8lK6kL4jM\ 2iM0hL2jK4kJ5mI7nH9oGAqFUzEUzDWzCHvBIwDGpEFiFDcGCX\ HAQ0000000000000003CX7BZBA`E9bI8dM7fP7hT6jX5la4of3\ sk2wo2zl8znDzgJmdOUZUNTZHQdAOi4MgCKeJIcRGaYE`dKWaQ\ RZWMXaHUgCRm8PkAMiCKgEIeGGcIEaJC_LAYN8WP6URUSTWQUY\ ST_ifalbcoZerVgoTilSkiQmfPocNqaMsZKtWJuTHvQGwNExLD\ yMFzMGzMHzMJzMKzMLzMMzNOzNPzNQzNSzNTzNUzNVzMazLgzK\ kzKizGdzHbzIazI`zJ_zKYzKXzLWzLVzMTzNSzNRzOQzPOzPNz\ QMzQLzTMzVMzXMzZMz`MzbMzdMz2qz3lz3gz3bz4Yz4Tz4Oz4J\ z7Kz9KzBKzDKzFKzHKzNLzTMzZNzcOziPzoQztQzrOzpNznLzl\ KzjIzhHzfFzdEzbCz`Bz_AzZDzZGzZJzYMzYPzYSzXVzXYzX_z\ W`zVazVazUbzTbzTczSczRdzRdzQezPezPfzOfzNgzNgzLezKd\ zJczIazH`zG_zFZzJUzMPzPLz } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================