Journal of Information Processing
Online ISSN : 1882-6652
ISSN-L : 1882-6652
A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons
Elena ArsenevaStefan LangermanBoris Zolotov
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JOURNAL FREE ACCESS

2020 Volume 28 Pages 791-799

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Abstract

We give a complete description of all convex polyhedra whose surface can be constructed from several congruent regular pentagons by folding and gluing them edge to edge. Our method of determining the graph structure of the polyhedra from a gluing is of independent interest and can be used in other similar settings.

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© 2020 by the Information Processing Society of Japan
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