Complete classification of six-dimensional iso-edge domains

In this paper, we report on the full classification of generic iso-edge subdivisions of six-dimensional translational lattices. We obtain a complete list of 55083357 affine types of iso-edge subdivisions. We report on the use of the method of canonical forms that allows us to apply hashing techniques used in modern databases.

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Publication Details

Journal
Acta Crystallographica Section A Foundations and Advances
Published
2024-11-07
DOI
https://doi.org/10.1107/s2053273324010143
Citations
1
Primary Topic
Topological and Geometric Data Analysis
Type
article
Field-Weighted Citation Impact
0.36
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article

Complete classification of six-dimensional iso-edge domains

Wessel van Woerden, Mathieu Dutour Sikirić
1 citations
Acta Crystallographica Section A Foundations and Advances
Topological and Geometric Data Analysis
0.36
article

Complete classification of six-dimensional iso-edge domains

Wessel van Woerden, Mathieu Dutour Sikirić
article en
1 citations

Abstract

In this paper, we report on the full classification of generic iso-edge subdivisions of six-dimensional translational lattices. We obtain a complete list of 55083357 affine types of iso-edge subdivisions. We report on the use of the method of canonical forms that allows us to apply hashing techniques used in modern databases.

Acta Crystallographica Section A Foundations and AdvancesVol. 81(1)
Université de Bordeaux (FR), Ruđer Bošković Institute (HR), Institut de Mathématiques de Bordeaux (FR)
Openalex Percentile: Top 34%
Topological and Geometric Data Analysis
0.36
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