Gabriel F. Brisson* and Clifford A. Reiter, Sierpinski Fractals from Words in High Dimension, Chaos, Solitons & Fractals, 5 11 (1995) 2191-2200.

The description of fractals in two, three or higher dimensions is straightforward; however, it is difficult to effectively render the higher dimensional fractals. Construction of generalized Sierpinski fractals in d-dimensions based on a simple system of admissible words is described. This construction is efficient and has a line segment representation which can be projected to three dimensions so that much of the structure of the fractal in d-dimensions can be visualized even for dimensions higher than three.

See also: · Some Images, animations and source scripts related to this paper [Related Images and materials] · A paper focusing on Sierpinski Fractals from inner products [Abstract mv_1993] · A paper focusing on Sierpinski Fractals from GCDs [Abstract mv_1994c] · A paper on various ways to implement the Sierpinski Triangle in J [Abstract ci_1997a] · A paper on general techniques for displaying Caley Graphs [Abstract mv_1996a]