Waldman
writes:
"There is some
interesting math associated with
calculation of the orbit trap,
which requires the shortest
distance between the iterated
Mandelbrot point and the orbit
trap. The brute force method is to
do two 'for' loops to cover each
of the iterated points on the
plane and determine the shortest
distance to the trap. Based on
something I developed for the
fractal tiling I've done, I was
able to accomplish this
'all-at-once' (no for loops;
vectorized code) using some fancy
matrix work based on the Kronecker
tensor product, cleverly rewritten
to be a Kronecker sum. The problem
with the method is that these
matrices can be huge and one must
resort to the for loops, as I did
for the fractal spiral orbit
trap."
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The animation below shows
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The
concept..............................
CYE: Save
this space but what to you
suggest I write here?????????
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Equations??????????????????????????
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2016 |
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