Re: [Fractint] Re: quaternion product correction (Russell Walsmith)
Nice job! I'm intrigued that the Mandelbrot set's "head" flies off in this animation, in a fashion somewhat similar to the decapitation scenario in the DEW animation (mirrored at http://ixitol.com/html/videos.html). The main set of points somehow becomes adverse to a subset: it's a curious phenomena, akin perhaps to a charge reversal, and it will be interesting to see what sort of mathematical theories eventually arise to account for it. As for to whom belongs credit for the formula; the T-set comes from the triternions concept, but its 3D realization in Fractint is of course due to Gerald Dobiasovsky's inspired/inspiring work. And after all, the formula is just one component of an ongoing and extensive collaborative effort... but anyway, he and I should share credit there I believe, if that's OK with Gerald. BTW, the value I of 1 that I gave for imag(p2) in the par was unfortunately insufficient to avoid clipping the transitional object at about real(p3) = 0.5. To provide ample clearance, it should be set at about imag(p2) = 2. Moreover, it might be fun to introduce p1 values, to cause the object to sort of pirouette as it morphs form T to C. Thanks again for your interest in these formulas; it's really fun to see them come to life. Ciao, Russell ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ@comcast.net> To: fractint@mailman.xmission.com Subject: [Fractint] Re: quaternion product correction (Russell Walsmith) Date: Sun, 20 Nov 2005 00:21:48 -0700
The morph animation is posted:
http://www.fractal-animation.net/morph.zip
It is AVI file, 640x480, 3.5 meg, original grayscale map
Exactly who is credited with this formula?
JoTz
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Russell Walsmith