Polystix Sculpture Design Revisited
Anduriel Widmark

Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Pages 379–382
Short Papers

Abstract

Polystix are arrangements of non-intersecting prisms that exhibit cubic symmetry. In my 2021 paper, “Sculpture Design with Hexastix and Related Non-Intersecting Cylinder Packings,” polystix were defined, along with techniques for connecting their components to make complex glass knots. This paper revisits aspects of polystix design, defines conditions of symmetric models, and explores a novel approach to create finite sets with restricted components. I also introduce some related and unresolved polystix problems. Several examples of minimal arrangements are illustrated to highlight the variety of creative and design applications in which polystix can be used.

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