Delone sets in \(\mathbb{R}^3\) with \(2R\)-regularity conditions

DOI10.1134/S0081543818060081OpenAlexW2908025191MaRDI QIDQ2280440

Nikolai P. Dolbilin

Publication date: 18 December 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818060081

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Convex and discrete geometry (52-XX)

Related Items (5)

Local groups in Delone sets: a conjecture and results ⋮ Crystallographic properties of local groups of a Delone set in a Euclidean plane ⋮ On the regularity radius of Delone sets in \({\mathbb{R}}^3\) ⋮ Delone sets and tilings: local approach ⋮ Local Groups in Delone Sets

Cites Work

• Uniqueness theorem for locally antipodal Delaunay sets
• Locally antipodal Delaunay sets
• Struktur der Materie
• On the origin of crystallinity: a lower bound for the regularity radius of Delone sets
• Unnamed Item

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