The Whirlpool/Taffy - The Stingray
Discovered by Jeremy Avnet, Eric Berenson, Brian Martin and Matt Chisholm
(though probably described by someone previously).
| These pictures come from the function: |
| z -> (k/z - x/k + z*y/k)n | where k and n are real-valued parameters. |
|
There is quite a bit of weirdness going on here. Notice how there is no
c-value
in the equation above. For this reason, calling these maps Julia sets would
be a stretch. The question of how to take the Mandelbrot-style portrait
of the entire parameter space is open as well. For example, one could
consider k=c, k=re(c), k=im(c). Or one could
consider:
|
| im(c)/z - x/re(c) + z*y/re(c) |
How did we come up with this function? The short answer is: Bad communication, and two typos.
All images are 10x10 units, with (0,0) as the center.
Last modified: Thu Jun 29 14:14:40 PDT 2000
Pages maintained by Jeremy Avnet; email: jeremy(at)theory.org
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