Second noble kipentagrammic hecatonicosahedron
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| Second noble kipentagrammic hecatonicosahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Noble |
| Elements | |
| Faces | 120 asymmetric pentagrams |
| Edges | 60+60+60+120 |
| Vertices | 120 |
| Vertex figure | Asymmetric pentagon |
| Measures (edge lengths ≈1.55622, ≈1.82990, ≈1.96171, ≈1.97610) | |
| Edge length ratio | ≈1.26981 |
| Circumradius | 1 |
| Related polytopes | |
| Army | Semi-uniform Grid, edge lengths ≈0.49883 (between rectangle and ditrigon), ≈0.05017 (between rectangle and dipentagon), ≈0.30829 (between ditrigon and dipentagon) |
| Dual | First noble kisombreroidal hecatonicosahedron |
| Convex core | Non-Catalan disdyakis triacontahedron |
| Abstract & topological properties | |
| Flag count | 1200 |
| Euler characteristic | –60 |
| Orientable | Yes |
| Genus | 31 |
| Properties | |
| Symmetry | H3, order 120 |
| Flag orbits | 10 |
| Convex | No |
| Nature | Tame |
| History | |
| Discovered by | Plasmath |
| First discovered | 2023 |
The second noble kipentagrammic hecatonicosahedron is a noble polyhedron. Its 120 congruent faces are asymmetric pentagrams that meet at congruent order-5 vertices. It is a faceting of a semi-uniform great rhombicosidodecahedral convex hull.
The ratio between the shortest and longest edges is approximately 1:1.26981.
Gallery[edit | edit source]
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The convex hull
