Gosper Sculptures Revisited
Carlo H. Séquin

Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Pages 9–16
Regular Papers

Abstract

The paper starts with a review of three hierarchical designs for tubular 3D sculptures that capture the style of the 2D Gosper curve: Gosper-Balls, Gosper-Pole, and Gosper-Lattice, and it discusses some of their shortcomings. It then analyzes three non-hierarchical approaches: Gosper-Stars with some internal branching, Gosper-Onions that use a small number of layered shells, and Gosper-Shells that map a Gosper-like path onto the surface of a regular polyhedron. The focus is on creating a modular polyline that connects nearest neighbor vertices on a regular lattice, while favoring the characteristic turning angles of 60 and 120 degrees of the 2D Gosper curve.

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