One Mucuboctahedron: Four Ways to View It

S. Louise Gould and Franklin Gould
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 507–510 Short Papers


Our first attempt at building the mucuboctahedron naturally resulted in a symmetric tetrahedral structure. As we explored other places to cut the infinite Archimedean polyhedron, it revealed a cubic lattice structure, a ring around a hexagonal hole structure, and an octahedral structure. This inspired some further research into its geometric properties.