Compound of two small icosicosidodecahedra
|Compound of two small icosicosidodecahedra|
|Components||2 small icosicosidodecahedra|
|Faces||24 triangles, 24 pentagrams, 24 hexagons, 8 golden hexagrams, 8 compound of two hexagons|
|Vertex figure||Isosceles trapezoid, edge lengths 1, √, (√–1)/2, √|
|Measures (edge length 1)|
|Regiment||Compound of two small icosicosidodecahedra|
|Dual||Compound of two small icosacronic hexecontahedra|
|Conjugate||Compound of two great icosicosidodecahedra|
|Convex core||Octatruncated tetrakis hexahedron|
|Abstract & topological properties|
|Symmetry||B3, order 48|
The compound of two small icosicosidodecahedra is a polyhedron compound. It consists of 40 triangles (16 of which fall into pairs in the same planes, forming 8 golden hexagrams), 24 pentagrams, and 40 hexagons (16 of which form 8 compound of two hexagons). One triangle, two hexagons, and one pentagram (sometimes a hexagram replaces the triangle, or one or more compounds of two hexagons replaces a hexagon) join at each vertex.
Related polytopes[edit | edit source]
Its non-standard hexagram faces are not to be confused with the hexagram faces of the small snub icosicosidodecahedron.
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