Just thought I'd show some more images of the 3D Mandelbrot and give the Ultrafractal parameters.
First here's a different view of the "lathed" quaternionic Mandelbrot:
Here are the parameters:
MMF-MandyQuat {
::EvuGNhn2tf1SvxtNQ47Gw/HE2Tto128h4rWwDpNIABI5QR75GwdXpdVjeVJu2ezv+OUicEd6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}
Here's one showing that the "lathed" effect applies to other fractals too - this is the standard quaternionic Newton for the roots of z^3-1:
Here are the parameters:
MMF-QuatNewton {
::fnLgJjn2tj1SPutNQ47Lw+fQwnSB66lP0zWwDpdbASR2UU0euB0SU2sRvqE9617v+O8lE1GE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}
Somewhat more interesting than the standard quaternionic Mandelbrot is the hypercomplex one:
Aplogies for the small size of this one - the link to the larger one fails.
You can see the larger one in my "scraps" folder here:
http://makinmagic.deviantart.com/Here are the parameters:
MMF-HyperMandy {
::nso8bhn2tr1SvNuNQ47BI/HE8pW0aFRSR9oF8wuNdRDwmWgu9cXQLRZLsUPgkcid+13hPkIl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}
Finally here's one way of viewing complex fractals in 3D - the classic 3D Julibrot where the 3rd axis is taken as the real part of zstart:
Here are the parameters:
MMF-Julibrot {
::IKscGin2tX1SvNuNQ47BI/HE0pWsx2kUvsbBP0msFYXs5S390eoB0SU2shiUgi2xO/67wHyx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}