Great dodecahedron cone
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| Great dodecahedron cone | |
|---|---|
 | |
| Rank | 3 |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gadcone |
| Elements | |
| Faces | 5 pentagons, 5 triangles |
| Edges | 5+5+10 |
| Vertices | 1+5+5 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Gyepip |
| Convex hull | Gyroelongated pentagonal pyramid |
| Abstract & topological properties | |
| Flag count | 80 |
| Euler characteristic | 1 |
| Orientable | No |
| Genus | 1 |
| Properties | |
| Symmetry | H2×I, order 10 |
| Convex | No |
The great dodecahedron cone is an orbiform polyhedron. It is a faceting of the icosahedron with 5 pentagonal and 5 triangular faces.
It is the 5-5-3 acrohedron generated by Green's rules.
Vertex coordinates[edit | edit source]
It's vertex coordinates are the same as those of the icosahedron with any 1 vertex removed.
External links[edit | edit source]
- Bowers, Jonathan. "Batch 2: Ike and Sissid Facetings" (#5 under ike).
- McNeil, Jim. "n-n-3 acrohedra".
- Klitzing, Richard. "ike-facetings".