Fractal of the Day
by Jim Muth

High-Order Radicals ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- July 15, 2009   (No Rating)

Fractal visionaries and enthusiasts:

Today's image is a scene very deep in the true East Valley of the Z^(1-million)+C Mandeloid.   I chose the 'true' East Valley, which is the one on the positive X-axis, because this Mandeloid has 999,999 identical East Valleys, and the one on the X-axis is the easiest to explore.

I was surprised to find such well-defined buds in the area, and I even found several sets of alien pop-eyes, but no matter how hard I searched, I could find no elephants.   With 999,999 of them guarding every bud, it is little surprise they are so hard to pick out.

As for minibrots, the entire image is a mass of them.   In fact, in the more intricately detailed areas, the minibrots occupy more area than the normal 'outside' stuff.   But because of their distortion, the minibrots are hard to recognize.

The choice of an exponent of 1-million was totally arbitrary.   Any exponent greater than 10,000 or so would have given a near identical image.   This is one case where they all really do look the same.

Since this kind of stuff is hardly new, I gave the image no rating.   The name "High-Order Radicals" refers to the bud complexes.

The calculation time of 12-1/3 minutes may be cut in half with only a tiny loss of detail by rendering the image with the passes set to 't' instead of '1'.   But do not use passes=g.   It guesses wrong far too often and really chews up the image.

There is no guess work involved however in the trip out to the FOTD web site to view the finished image.   The web site may be accessed at:
Think of absolutely perfect weather -- blue skies with a few decorative cumulus clouds, a temperature of 79F 26C, unlimited visibility, low humidity, gentle breezes, and you have pictured the weather in the Fractal Central area on Tuesday.

The local youngsters, idealistic, naive, and apparently misled by the media hype, have been warning of an unbearably hot summer due to man-made climate change.   But they are now starting to admit they were wrong.   And the same local media that forecast an unbearable summer is now starting to call this year 'the year without a summer'.   The clamor for legislation to fight climate change, whatever kind of legislation could possibly do that, is thankfully fading rapidly.

The fractal cats don't worry about things like flooded coastal cities and palm trees in Nova Scotia.   But they do worry about stray cats prowling the area and their next treats of tuna.   Luckily, no cats were prowling around F.C. on Tuesday, and the treats appeared on schedule.

My day was average, as are most days here at F.C.   The next FOTD will be posted in 24 hours.   Until then, take care, and what ever happened to Kamenoi Ostrov?


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

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

High-OrderRadicals  { ; time=0:12:20.39-SF5 on P4-2000
  reset=2004 type=formula formulafile=slices.frm
  formulaname=MandelbrotN passes=1 float=y logmap=156
  center-mag=+0.9999851854051747/-0.000000000003291/2\
  .83e+012/1/-47.5/0 periodicity=10 mathtolerance=/1
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  vTzvVzwXzwYzw_zwazxczxezx }

frm:MandelbrotN {; Jim Muth
  b=p1, z=p2, c=p3+pixel:
  z=z^(b)+c,
  |z| <= 16 }

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

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