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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image takes us to the vicinity of the negative X-axis of the Z^(5.003)+C Mandeloid, where we examine a quintic midget at the limit of resolution. I named the image "Quintic Confusion" because of its extremely busy appearance. I was ready to rate the image at an 8, but I could not bring myself to honestly give such a high rating. The fractal picture is simply too disorganized and muddy. I finally decided on a rating of 7. The mathtolerance entry in the parameter file is necessary to insure that the image is calculated at the correct magnitude. To create the image, I used the MandelbrotN formula, which I wrote a number of years ago to generate images of Mandeloids of any power. With this formula, the image renders in 14-1/2 minutes. Curiously, when I checked the time the manzpower formula would take to calculate the image, I found it would take almost 19 minutes. The cobweb-like appearance apparently holds true of all Mandeloids of the order n.003, where n is an odd positive integer. When n is even, the railyard effect appears. In the next FOTD, I'll see how large I can raise the value of n and still find an acceptable image. Today's image may be calculated from the included parameter file, or it may be viewed on the FOTD web site at: The fractal cats were annoyed not at all by the cloudy and cooler weather here at Fractal Central on Wednesday, with a temperature of 66F 19C and a few drops of rain. They were too busy checking and exploring the basement, which they got into for the first time. After deciding that all was well down there, the duo settled for a relaxing evening. My day was slow, but not as slow as the past several days have been. I expect tomorrow to be another slow day, which should mean another interesting fractal. That fractal will appear in 24 hours. Until then, take care, and be ready for the great revelation. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Quintic_Confusion { ; time=0:14:38.04--SF5 on a P200
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotN periodicity=10 maxiter=4500
center-mag=-0.53558959324674450/-0.001231684234550\
91/5.008814e+012/1/25/0 float=y inside=255 passes=b
params=5.003/0/0/0/0/0 mathtolerance=0.05/1
colors=0000006Gz0Dz0Az06z0Gz1Pz8XyIeuQoqZyoJsB5m0E\
P1P4QSEJWQEXbAXbAXbAXc8Xe8Zi6Zk6Zm6Zm5Zm5Zm4Zm4Zk4\
Zi2GX2Mc2Xm4Xp4Xm4Xi5Xc5XZ6XW64ggPPsk8zeWz`uzWzzMz\
uEmX6XB1J0BS2L`BWiMesXqzgszzuzWvzzyzLzzzzzAzz5zz1v\
z4ov6gkAb`BWQEPGII6LD0M80Q50U10X00Z00b00e00i00k00q\
10uA0yI0zS1zb2zk4zWbyIzio2zc4zU4zL4zB4z24z04v04s04\
o0Dg0M`0XU0eM0qG0zA1z4AzEIoPQcZZUkgJvqBz6kM4qL1vL0\
zL0zL0zL0zL0vP5cSDMWJ8XXQShcgzzhzcW6MPL5IJDIIJIIQI\
GXIEcIEkILiJSgLXeMccPkbQq`SyZUzZUuZSmZScZSXZSQZSIZ\
SBZS5ZSGWUSUWbSXoQZzP`zM`20Q80XD8bIMgDWkAbo5is2sv0\
zz0zz0zzzMzzsgzvXvyPmzEez6Xz0Qz0Jz0`z8sqZquWoySmzP\
kzLizIgzEezDkzJozPssWvk`zcgzXmzQuzJzzDzz6zz5zz5zz5\
zz5uA40DU0KP00K0BE0X2WQ2UL2UE1UK1UP1UP1UP4UP5UP8UP\
AUPDUPEUPIUPJUPMKQPANS0SU0VX0XZ0Zb0Zc0`Z0bW0cQ2eMA\
gJIgESiB`k8im4uo1zo0zi0ze0y`0qX0iU0bP0WL0PI0ID0BA0\
5600B24GB6LMAPXDWQuMMv000 }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
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times.
