One Mucuboctahedron: Four Ways to View It
S. Louise Gould and Franklin Gould

Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture
Pages 507–510
Short Papers

Abstract

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.

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