D-V cells and fundamental domains for crystallographic groups, algorithms, and graphic real\-i\-za\-tions.

DOI10.1016/S0895-7177(03)90078-1zbMath1055.20041OpenAlexW2040227782MaRDI QIDQ596996

István Prok, Jenő Szirmai, Emil Molnár

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(03)90078-1

zbMATH Keywords

crystallographic groupsfundamental domainsalgorithms for D-V cellsgraphic implementations

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Uses Software

• CARAT

Cites Work

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• Crystallographic Algorithms and Tables
• Bestimmung der transitiven optimalen Kugelpackungen
• Counting Crystallographic Groups in Low Dimensions
• Enantiomorphism of crystallographic groups in higher dimensions with results in dimensions up to 6

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