| 词条 | Small snub icosicosidodecahedron | |||
| 释义 |
In geometry, the small snub icosicosidodecahedron or snub disicosidodecahedron is a uniform star polyhedron, indexed as U32. It has 112 faces (100 triangles and 12 pentagrams), 180 edges, and 60 vertices. Its stellation core is a truncated pentakis dodecahedron. It also called a holosnub icosahedron, ß{3,5}. The 40 non-snub triangular faces form 20 coplanar pairs, forming star hexagons that are not quite regular. Unlike most snub polyhedra, it has reflection symmetries. Convex hullIts convex hull is a nonuniform truncated icosahedron.
Cartesian coordinatesCartesian coordinates for the vertices of a small snub icosicosidodecahedron are all the even permutations of (±(1-ϕ+α), 0, ±(3+ϕα)) (±(ϕ-1+α), ±2, ±(2ϕ-1+ϕα)) (±(ϕ+1+α), ±2(ϕ-1), ±(1+ϕα)) where ϕ = (1+{{radic|5}})/2 is the golden ratio and α = {{radic|3ϕ−2}}. See also
External links
1 : Uniform polyhedra |
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