Regular 3D Polygonal Circuits of Constant Torsion

Tom Verhoeff and Koos Verhoeff
Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009)
Pages 223–230 Regular Papers


We explore a special class of regular 3D polygonal circuits, that is, of regular non-planar polygons. In these circuits, all segments (edges) have the same length, all corner angles are equal, and all torsion angles have the same (absolute) value. We also show some artwork based on these constant-torsion circuits.