Compound of two cuboctahedra
|Compound of two cuboctahedra|
|Faces||4 triangles (as 2 golden hexagrams), 12 triangles, 12 squares|
|Vertex figure||Rectangle, edge lengths 1 and √|
|Measures (edge length 1)|
|Dual||Compound of two rhombic dodecahedra|
|Convex hull||Hexagonal orthobicupola|
|Convex core||Variant of orchid 13|
|Abstract & topological properties|
|Symmetry||(G2×A1)/2, order 12|
The compound of two cuboctahedra is a polyhedron compound. It consists of 16 triangles (4 of which lie in the same two planes at the top and bottom of the shape, forming 2 golden hexagrams) and 12 squares. Two triangles (sometimes one triangle and one hexagram) and two squares join at each vertex.
Related polytopes[edit | edit source]
It also has the same non-standard hexagram faces as the compound of two icosahedra and its conjugate, the compound of two great icosahedra. These are not to be mistaken for the hexagram faces of the small snub icosicosidodecahedron, though.
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