Name
Abstract | ||
|---|---|---|
We know that the polyhedra corresponding to the Platonic solids are equivelar. In this article we have classified completely all the simplicial equivelar polyhedra on ≤ 11 vertices. There are exactly 27 such polyhedra. For each n\geq -4 , we have classified all the (p,q) such that there exists an equivelar polyhedron of type {p,q} and of Euler characteristic n . We have also constructed five types of equivelar polyhedra of Euler characteristic -2m , for each m\geq 2. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/s00454-001-0008-0 | Discrete & Computational Geometry |
Keywords | Field | DocType |
euler characteristic | Topology,Combinatorics,Platonic solid,Vertex (geometry),Polyhedron,Euler characteristic,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 3 | 0179-5376 |
Citations | PageRank | References |
3 | 0.53 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Basudeb Datta | 1 | 64 | 13.91 |
| N. Nilakantan | 2 | 3 | 1.89 |