Small triambic icosahedron
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In geometry, the small triambic icosahedron is a star polyhedron composed of 20 intersecting non-regular hexagon faces. It has 60 edges and 32 vertices, and Euler characteristic of −8. It is an isohedron, meaning that all of its faces are symmetric to each other. Branko Grünbaum has conjectured that it is the only Euclidean isohedron with convex faces of six or more sides,[1] but the small hexagonal hexecontahedron is another example.
More information Stellation diagram, Stellation core ...
Small triambic icosahedron | |||||||
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Type | Dual uniform polyhedron | ||||||
Index | DU30, 2/59, W26 | ||||||
Elements (As a star polyhedron) | F = 20, E = 60 V = 32 (χ = −8) | ||||||
Symmetry group | icosahedral (Ih) | ||||||
Dual polyhedron | small ditrigonal icosidodecahedron | ||||||
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