Equivelar Polyhedra with Few Vertices

被引:0
作者
B. Datta
N. Nilakantan
机构
[1] Department of Mathematics,
[2] Indian Institute of Science,undefined
[3] Bangalore 560\,undefined
[4] 012,undefined
[5] India {dattab,undefined
[6] nandini}@math.iisc.ernet.in,undefined
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Discrete & Computational Geometry | 2001年 / 26卷
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摘要
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.
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页码:429 / 461
页数:32
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