Complete classification of six‐dimensional iso‐edge domains

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 technique...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta crystallographica. Section A, Foundations and advances Foundations and advances, 2025-01, Vol.81 (1), p.9-15
Hauptverfasser: Dutour Sikirić, Mathieu, van Woerden, Wessel
Format: Artikel
Sprache:eng
Schlagworte:
Canonical forms
Classification
iso‐edge domains
lattices
Mathematics
Subdivisions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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. We enumerate the 55083357 iso‐edge subdivisions of six‐dimensional translational lattices. We report on the use of the method of canonical forms that allows us to apply hashing techniques used in modern databases.
ISSN:2053-2733
0108-7673
2053-2733
DOI:10.1107/S2053273324010143