Vertex-, face-, point-, Schläfli-, and Delaney-symbols in nets, polyhedra and tilings: recommended terminology

Blatov, Vladislav A.; O’Keeffe, M.; Proserpio, Davide Μ.

doi:10.1039/b910671e

articleCrystEngCommJul 28, 2009GREEN OA

Vertex-, face-, point-, Schläfli-, and Delaney-symbols in nets, polyhedra and tilings: recommended terminology

VAVladislav A. Blatov MOM. O’Keeffe DΜDavide Μ. Proserpio

Samara National Research University · Arizona State University · +1 more institution

Indexed incrossref

Abstract

We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic nets, tiles and polyhedra, and symbols for tilings, making a recommendation for uniform nomenclature where there is some confusion and misapplication of terminology.

Citation impact

750

total citations

FWCI: 19.98
Percentile: 100%
References: 35

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Authors

3

Topics & keywords

Topics

Keywords

Polyhedron
Confusion
Terminology
Vertex (graph theory)
Face (sociological concept)
Combinatorics
Computer science
Point (geometry)

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