Artist's statement CQUATS - a non-distributive quad algebra for 3D renderings of Mandelbrot and Julia sets
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Abstract This brief note and artistic statement describes the development of new software to render 3D Mandelbrot and Julia sets. This differs from others in the field in that the algebra used by most 3D-fractal software is either quaternion or hypercomplex, while complexified quaternion (cquat) algebra is neither. This results in a different perspective for 3D imagery of this type.
[1] B. Mandelbrot. Fractal Geometry of Nature , 1984 .
[2] Alan Norton,et al. Generation and display of geometric fractals in 3-D , 1982, SIGGRAPH.