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
times.