Inside and Outside the Rhombic Hexecontahedron

Sándor Kabai
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 387–394 Regular Papers


The rhombic hexecontahedron is a twenty-pointed star polyhedron that is bounded by sixty golden rhombi. It can be understood as a stellation of its relative, the Keplerian rhombic triacontahedron, or as the assembly as twenty prolate golden rhombohedra. This study investigates these relationships and the possible structures that can be created by dissecting and recombining parts of these forms. Many possible structures are introduced with the help of Wolfram Mathematica graphics, the Zometool construction set, and the author's own StyroBlock modeling system, see