Equivelar polyhedra with few vertices

Datta, B. ; Nilakantan, N. (2001) Equivelar polyhedra with few vertices Discrete & Computational Geometry, 26 (3). pp. 429-461. ISSN 0179-5376

Full text not available from this repository.

Official URL: http://www.springerlink.com/content/uwcgt15ggyue7x...

Related URL: http://dx.doi.org/10.1007/s00454-001-0008-0


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 ≥ -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 ≥ 2 .

Item Type:Article
Source:Copyright of this article belongs to Springer.
ID Code:75104
Deposited On:21 Dec 2011 14:10
Last Modified:21 Dec 2011 14:10

Repository Staff Only: item control page