|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: The lateness of today's FOTD tells that things were busy here at F.C. on Saturday, as a couple more customers called in, needing quick changes on their jobs as a result of the recent election. This left but little time for work on the glorious (IMO) FOTD. I could give today's image no rating because it's not a finished image, it's only a study in getting a smooth color gradient from a palette of 256 colors. But the result turned out good enough to qualify as the FOTD for November 9. The image shows parts of both Seahorse Valley and East Valley. The solid area at the left is part of Seahorse Valley of the Mandelbrot set, while the sharp spike shooting in from the right and stabbing into Seahorse Valley is actually a part of the East Valley of a second Mandelbrot set, which partially overlaps the first M-set. The 2 overlapping M-sets form a four-dimensional unit that can be explored in limited orientations by the hypercomplex formula. There are entries for four parameters in the formula, but only the last two have any effect on the image. Apparently the formula is still in an unfinished condition. But finished or not, the formula creates some images that can be quite unusual, with elephants eating seahorses, and minibrots filled with smaller minibrots. I have written several formulas that are supposed to expand the range of the hypercomplex formula, though they produce such weird results that I'm not sure exactly what they do. The name "To the Point" refers to the point of East Valley jabbing into Seahorse Valley from the right. The calculation time of 2 minutes will cause no impatience. And the finished image will soon be posted to the FOTD web site at: Early morning rain was followed by afternoon sun here at Fractal Central on Saturday. The fractal cats enjoyed the sun to the maximum. The temperature rose to 64F 18C by 2pm, but by sunset, just before 5pm, it had dropped to 52F 11C. As stated earlier, my day was busier than expected. The next FOTD will be posted in around 12 hours. Until then, take care, and wait for the new world with bated but not abated breath. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
To_the_Point { ; time=0:04:45.54-SF5 on P4-2000
reset=2004 type=hypercomplex function=sqr logmap=28
center-mag=-0.24440456/+0.04924533/207.7403 float=y
params=0/0/0.05/0.5 passes=t inside=0 periodicity=10
maxiter=5000
colors=000jUKkULlUMmUNnUOoUPpUQqURrUSsUTtUUuUVvUWw\
UXxUYxUXxVYwWYvXXvYXuZWt_Wt`VsaVraUraUqaTp`Tp_SoZS\
nYRnXRmWQlVQlUPkTPjSOjROiQNhPNhNMgMMfLLfKLeJKdIKdH\
JcGJbEIbDIaCH`BH`AG_9GZ8F`6GZ7FY7FX7FW7FU8FT8FS8FR\
7ER8FR9GRAHRBIRCJRDKRELREMRFNRGORHPRIQRJQRKRRLSRLT\
RMURNVROWRPXRQYRRZRS_RS`RTaRUaRVbRWcRXdRYeRZfRZgR_\
hR`iRajRbkRclRdmRdmVhaZlRbpGes5du3dw1ct4br7apA`nD_\
lGZjJYhMXfPWcSVaVU_YTY`SWcRUfQSiPQlQNnPOoPPoPQoPRp\
PSpOSpOTpOUqOVqOWqOWqNXrNYrNZrN_sN`sM`sMasMbtMctMd\
wLfzMdzNbzOazP_zQYzRXzSVzTTzUSzUQzVOzWNzXLzYJzZIz_\
Gz`EzaDzbBze8zbAz`BzZCzXEzUFzSGzQHzOJzMKzJLzHNzFOz\
DPzCSzBQzBPzBOzANzAMzALz9Kz9Iz9Hz8Gz8Fz8Ez7Dz7Cz7A\
z69z68z67z56z55z54zTKzpZzn_zl`zkazibzhczfdzeezcezb\
fz`gz_hzYizWjzVkzTkzSlzQmzPnzNozMpzKqzJqzLqzNqzPqz\
RqzTqzVqzXqzZqz`qzbqzdqzfqzhqzjqzlqznqzpqzrqzvxzsq\
zwmzpjzigzbdzWbzP_zIXzBUz }
END PARAMETER FILE=========================================
|
times.
