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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image shows a scene obviously lying in East Valley of its parent Mandelbrot set. The elephants with their spiralling trunks are there as expected, and the minibrots are found as expected where the trunk-spirals come together symmetrically. But what has happened to those minibrots? The minibrots are not the quadratic ones that would be expected, they are order-32 ones that would never be expected. This is because I have contaminated the parent Mandelbrot set with some Z32 stuff, which becomes prominent only at a considerable depth. This mixture has the top halves of four proto-elephants arranged in a ring around the circular minibrot at the center, with various bits and pieces of other elephants scattered randomly through the rest of the scene. Once again I have gone to a very large magnitude to find the image, which is why the mathtolerance entry is included in the parameter file. These high-order minibrots grow more interesting the deeper they lie. It's too bad that arbitrary precision does not work with type=formula. It's probably due to the DOS memory limit. (When, if ever, we have a S.O.T.A. Windows version of Fractint, I assume this will be changed.) The ring of elephants inspired the name "Elephant Ring". I rated the image at an 8 because I like rings of elephants. The calculation time of 2 minutes will bring peace and contentment to all fractal visionaries. Fractal enthusiasts can find peace on the FOTD web site at: A muggy high temperature of 86F 30C made Sunday feel more like a July day here at Fractal Central in central Pennsylvania. The local fractal cats kept the holiday spirit alive as they dashed up and down the long hallway and attacked their catnip rats. My day was slow enough to keep the philosophical pot aboil. The next in the apparently endless string of FOTD's will be due in 24 hours. Until then, take care, and when you make colorful philosophy, be sure that your conclusion is not colored by wishful thinking. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Elephant_Ring { ; time=0:02:03.47-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 passes=1 logmap=218 float=y
center-mag=+14.46740554090629/-0.678528302118716/1\
.90372e+012/1/-400 maxiter=1800 mathtolerance=0.05/1
params=32/50 inside=0 periodicity=10
colors=000nv_ovcqvfsviuvmwvpxvsvspqqmlnigkfahcYf`S\
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DZMC_JC`HBaFBaED`EE_EFZEHYEIXEJWEKVEMUENTEOSEPRIWN\
NcI9U89`79g59n49u38nI7hW6bi6XwBam`t4GfdLjWQoMVtDvF\
HnVCfi8w_bohRgpm3qmAsmHtmzvmzwmztmzumzvmzvmzw5zw5z\
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zPa9XVzcOzjHzqAzrhztYzuOzwEzIHzXCzj8zXRzbMzhHzmDzs\
8zdizgczjYzmSzpMzsGzvAz6K }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
