3D Animations of the Tetrabrot.
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3D Animations of the Tetrabrot. |
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 The generalized Mandelbrot set with some of it's various filled Julia sets. Moreover, we can see the infinite divergence layers for each of them. |
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 From Julia sets properties, we construct a "Cantor set" in dimension 3 for bicomplex numbers and we illustrate it in several ways. |
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 Here, on one of the Tetrabrot's layer that diverge to infinity, it is possible to distinguish the points where the associated filled Julia sets in  are
either connected, Cantor sets or disconnected but not totally disconnected.
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 Here are some slices from
from the Mandelbrot set for a general complex cubic iteration. Due
to colors, it is possible to distinguish the points where the associated
filled Julia sets in
are either connected, Cantor sets or disconnected but not necessarely
Cantor sets. |
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 Fractal art compositions from bicomplex filled Julia sets. Artwork by Alec Bourque and Dr. Dominic Rochon. |
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