Grünbaum's new rhombic hexecontahedron
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| Grünbaum's new rhombic hexecontahedron | |
|---|---|
 | |
| Rank | 3 |
| Space | Spherical |
| Elements | |
| Faces | 60 golden rhombi |
| Edges | 60 + 60 |
| Vertices | 20 + 20 + 12 |
| Related polytopes | |
| Convex hull | Rhombic triacontahedron |
| Convex core | Rhombic triacontahedron |
| Abstract & topological properties | |
| Flag count | 480 |
| Euler characteristic | -8 |
| Orientable | Yes |
| Genus | 5 |
| Properties | |
| Symmetry | H3, order 120 |
| Convex | No |
Grünbaum's new rhombic hexecontahedron is a isohedral polyhedron with 60 golden rhombus faces.
Construction[edit | edit source]
Grünbaum's new rhombic hexecontahedron as a stellation of the rhombic triacontahedron
Grünbaum's new rhombic hexecontahedron is a stellation of the rhombic triacontahedron. The stellation is given by the following stellation diagram:
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The left shows the new faces in red and the old face in yellow, and the right shows the interior of the polyhedron with an even-odd-filling in green and exterior in dark blue.
Related polytopes[edit | edit source]
Grünbaum's new rhombic hexecontahedron is related to the rhombic hexecontahedron which is another stellation of the rhombic triacontahedron with 60 golden rhombus faces.
Bibliography[edit | edit source]
- Grünbaum, Branko (1996a), A New Rhombic Hexecontahedron-Once More (PDF)
- Grünbaum, Branko (1996b), A New Rhombic Hexecontahedron (PDF)