Fractal of the Day
by Jim Muth

Julia Elephant ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- July 05, 2009   (No Rating)

Fractal visionaries and enthusiasts:

East Valley elephants are multi-dimensional things the entirety of which mere human minds will never fully comprehend.   But unlike Mandelbrot minibrots, their elephant aspect appears in all slices of the Julibrot.   We have already seen the Mandelbrot aspect of the period-30 elephant on the south shore line of East Valley.   Today we see the Julia aspect of the same elephant.

This version of the creature also has a 30-pointed star on its rump, but instead of placidly plodding along, it appears to be raising its trunk, perhaps in celebration of some victory known only to itself.   And this elephant is not guarding a Mandelbrot bud.   Such buds are impossible in pure Julia images.   It is standing guard over a delicate Julia set of the minibrot on the shoulder of its Mandelbrot brother.   Not surprisingly, another Julia set is found on this Julia elephant's shoulder, where the Mandelbrot version has its large minibrot.

There are identical copies of this same elephant arranged symmetrically around its parent Julia set, as well as larger and not as well developed elephants and elephant parts.   But all the Julia elephants have the same periodicity of 30.   This is not surprising, since they all are related to the same Mandelbrot elephant.

As for the direction of today's view, if the direction of the Mandelbrot view is taken as being directed from the viewer toward the front of the screen, then time must be considered the fourth dimension and today's Julia view must be taken as directed from the past toward the future.   I know this sounds like nonsense, but the fourth dimension makes nonsense of common sense all the time.

I named the image "Julia Elephant", which of course it is.   I gave the image no rating.   After all, how unusual can a typical Julia set of East Valley be when it calculates in 2-1/2 seconds, far too brief a time for enjoyment?

That 3 seconds can be turned into a minute or so however if the image is viewed on the FOTD web site at:
Viewing the image this way will make the fun last a little longer.

Conditions were almost too good here at Fractal Central on Saturday, July 4, which is Independence Day in the U.S.   With heat, humidity and evening thunder-showers usually expected, we had crystal clear skies decorated with puffy white clouds, and a temperature of 70F 21C.   The fireworks went off uninterrupted.

The fractal cats disliked the noise however, and stayed near cover until things calmed down.   My day was otherwise uneventful.   The next FOTD will be posted in the near future.   I'll say nothing more about the exact timing.   Until whenever, take care, and I think I'll make an egg-cream.


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

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END PARAMETER FILE=========================================

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