Small triambic icosahedron
|Small triambic icosahedron|
|Bowers style acronym||Stai|
|Coxeter diagram||m5/2o3o3*a ()|
|Vertex figure||20 triangles, 12 pentagrams|
|Measures (edge length 1)|
|Number of external pieces||60|
|Dual||Small ditrigonary icosidodecahedron|
|Conjugate||Great triambic icosahedron|
|Convex hull||Non-Catalan Pentakis dodecahedron|
|Abstract & topological properties|
|Symmetry||H3, order 120|
If its dual, the small ditrigonary icosidodecahedron, has an edge length of 1, then the edges of the hexagons will measure .
If its convex core, the icosahedron, has an edge length of 1, then the edges of the hexagons will measure .
The hexagons have alternating interior angles of , and .
It is a rare example of a polyhedron with icosahedral symmetry that can be built out of green Zome tools. This is because the compound of five octahedra is its edge stellation.
Vertex coordinates[edit | edit source]
A small triambic icosahedron with dual edge length 1 has vertex coordinates given by all even permutations of:
[edit | edit source]
- Klitzing, Richard. "stai".
|This article is a stub. You can help Polytope Wiki by expanding it.|