Fractal visionaries and enthusiasts:

Today's image shows one of the strange rectangles that exist in a Julia set of the Z^(2.003)+C Mandeloid.   (To see one of the actual rectangles, check the Z^(2.003)+C Julia set with a C-value of -1.7435+0.0i at the Z coordinates of 0.00019+0.07388i, with the magnitude set to 100.   It's not a perfect rectangle, but it's close enough to be quite surprising.)

When we check today's image however, we wonder what has happened to the rectangle.   The rectangle, or at least one slice of it, actually is in the image.   It appears as the dark bluish area in the lower right corner, with the narrow white line across its center.

The rectangle has been reduced to a single narrow line because today's image is not a Julia set.   It is what I call an Oblate set, a slice through the four-dimensional Julibrot figure that is defined by the imaginary C-axis and the real Z-axis.   It is actually a fractal hybrid -- half Julia, half Mandelbrot.

Even though no full rectangle appears in the image, I named it "The Magic Rectangle".   The missing rectangle is made up for by the image's unusually strong impression of a three dimensional scene.   I have no idea what the quite solid looking things might represent however.

I rated the image at a 7, which means I consider it to be an average FOTD image.   The calculation time of 1-1/4 minutes is unusually fast, which will be good news for those who prefer more than a single slice of their rectangles.

Another way of viewing the image is to surf out to the FOTD web site at:and view it in completed form there.

Totally miserable conditions prevailed, both with the weather and the fractal cats, here at Fractal Central in central Pennsylvania on Friday.   The spitting rain and temperature of 46F 8C kept the cat duo glued to the warmest radiator, glaring at the outdoors in full sulk.

My problem was not the weather -- I had no time to worry about that -- but with the rush that won't go away.   I still managed to find time for the fractal however.   And I would not be surprised in the least if another fractal were to show up in about 24 hours.   Until next time, take care, and never question the fractal truth.


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

START PARAMETER FILE=======================================

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frm:OblateN {; Jim Muth
  b=p1, z=real(pixel)+p2,
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  z=z^(b)+c,
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END PARAMETER FILE=========================================