Uniqueness theorem for locally antipodal Delaunay sets

DOI10.1134/S0081543816060134zbMath1365.52020OpenAlexW2538618772MaRDI QIDQ511453

Alexander Magazinov, Nikolai P. Dolbilin

Publication date: 15 February 2017

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

Full work available at URL: https://doi.org/10.1134/s0081543816060134

zbMATH Keywords

Delaunay setslocal antipodality

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Other geometric groups, including crystallographic groups (20H15) Generalizations of lattices (06B75)

Related Items (4)

Delone sets in \(\mathbb{R}^3\): regularity conditions ⋮ On the origin of crystallinity: a lower bound for the regularity radius of Delone sets ⋮ Delone sets in \(\mathbb{R}^3\) with \(2R\)-regularity conditions ⋮ Delone sets and tilings: local approach

Cites Work

• Locally antipodal Delaunay sets
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