Great stellated truncated dodecahedron
Appearance
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} |
Coxeter diagram | |
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 or great stellatruncated dodecahedron) is a nonconvex uniform polyhedron, indexed as U66. It has 32 faces (20 triangles and 12 decagrams), 90 edges, and 60 vertices.[1] It is given a Schläfli symbol t0,1{5/3,3}.
Related polyhedra
[edit]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
[edit]Cartesian coordinates for the vertices of a great stellated truncated dodecahedron are all the even permutations of
where is the golden ratio.
See also
[edit]References
[edit]- ^ Maeder, Roman. "66: great stellated truncated dodecahedron". MathConsult.
External links
[edit]