How to name and order convex polyhedra

Author:

Voytekhovsky Yury L.

Abstract

In this paper a method is suggested for naming any convex polyhedron by a numerical code arising from the adjacency matrix of its edge graph. A polyhedron is uniquely fixed by its name and can be built using it. Classes of convexn-acra (i.e.n-vertex polyhedra) are strictly ordered by their names.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Symmetry Point Groups and Topological Entropies of Polyatomic Convex Clusters;Springer Proceedings in Earth and Environmental Sciences;2019-04-24

2. The Rome de Lisle problem;Acta Crystallographica Section A Foundations and Advances;2017-09-13

3. Accelerated scattering of convex polyhedra;Acta Crystallographica Section A Foundations and Advances;2017-08-15

4. Convex polyhedra with minimum and maximum names;Acta Crystallographica Section A Foundations and Advances;2017-04-20

5. Ordering of convex polyhedra and the Fedorov algorithm;Acta Crystallographica Section A Foundations and Advances;2017-01-01

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