Polar Zonohedral Helices and Clusters
Phil Webster

Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture
Pages 329–336
Regular Papers

Abstract

Polar zonohedra (PZ) are a class of polyhedra whose rhombic faces lend themselves well to decoration. In this paper, I discuss two new explorations that focus more on the 1- and 3-dimensional aspects of the shapes, namely, their edges and their complete volumes. In the first exploration, I create forms extruded from the helix-like shapes embedded in the edges of PZ. In the second, I examine and enumerate the possibilities for clusters of PZ that fill 3-dimensional space locally around a single point. Both avenues yield numerous possibilities for artistic work.

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