Fractal visionaries and enthusiasts:

Today's image shows another surprising aspect of the four-dimensional Seahorse Valley complex.   The outer drab blue area outlines a distorted version of the Seahorse Valley Julia set with a C-value of -0.75, while the brilliant reddish yellow elements inside the Julia outline are a grossly enlarged view of the Mandelbrot aspect of the valley.

The enlargement of the Mandelbrot part of the image is due to its hypercylindrical four-dimensional shape and the angle at which it is sliced.   In 4-D space, if the angle is right, a hypercylindrical 4-D object may be sliced by a plane so that all directions of the projection onto the plane are enlarged equally up to infinity.   Some careful measuring and a bit of trigonometry, (which I am not about to do), would reveal the angle of today's slice.

I named the image "Seahorse Valley-03", which describes it quite well.   Since the scene has little artistic value, I gave it no rating, though I consider it worth about a 6-1/2.

The calculation time of 15 seconds will pass in a fractal flash.   Another way to see the image is to flash out to the FOTD web site at:and view it there with zero effort exerted.

Morning clouds and a few drops of rain gave way to plenty of sunshine and mild afternoon temperatures in the mid 70'sF, or around 24C.   The fractal cats here at Fractal Central enjoyed the pleasant conditions, even catching a little afternoon sun.

My day was rather busy.   The next FOTD will be posted in 24 hours.   Until then, take care, and regardless of whether it's scientific or unscientific, it still might or might not be true.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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