Trireplenished great icosahedron
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| Trireplenished great icosahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Orbiform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Targi |
| Elements | |
| Faces | 1+1+3 triangles, 3 pentagrams |
| Edges | 3+3+3+6 |
| Vertices | 3+3+3 |
| Vertex figures | 3 crossed isosceles trapezoids, edge length 1, 1, 1, (√5-1)/2 |
| 3+3 isosceles triangles, edge lengths 1, (√5-1)/2, (√5-1)/2 | |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Regiment | Targi |
| Conjugate | Tridiminished icosahedron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | A2×I, order 6 |
| Convex | No |
| Nature | Tame |
The trireplenished great icosahedron, or targi, is a nonconvex orbiform polyhedron. It consists of 1+1+3 triangles and 3 pentagrams. It can be constructed by removing 3 mutually non-adjacent vertices from a regular great icosahedron.
In vertex figures[edit | edit source]
The trireplenished great icosahedron is the vertex figure of the uniform retrosnub disicositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Batch 2: Ike and Sissid Facetings" (#11 under sissid).
- Klitzing, Richard. "targi".