Great stellated truncated dodecahedron
Great stellated truncated dodecahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 32, E = 90 V = 60 (χ = 2) |
Faces by sides | 20{3}+12{10/3} |
Wythoff symbol | 2 3 | 5/3 |
Symmetry group | Ih, [5,3], *532 |
Index references | U66, C83, W104 |
Dual polyhedron | Great triakis icosahedron |
Vertex figure | 3.10/3.10/3 |
Bowers acronym | Quit Gissid |
In geometry, the great stellated truncated dodecahedron or quasitruncated great stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U66. It is given a Schläfli symbol t0,1{5/3,3}.
Related polyhedra
It shares its vertex arrangement with three other uniform polyhedra: the small icosicosidodecahedron, the small ditrigonal dodecicosidodecahedron, and the small dodecicosahedron:
Great stellated truncated dodecahedron |
Small icosicosidodecahedron |
Small ditrigonal dodecicosidodecahedron |
Small dodecicosahedron |
Cartesian coordinates
Cartesian coordinates for the vertices of a great stellated truncated dodecahedron are all the even permutations of
- (0, ±τ, ±(2−1/τ))
- (±τ, ±1/τ, ±2/τ)
- (±1/τ2, ±1/τ, ±2)
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
See also
External links
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