Mathematics of 2-dimensional lattices

DOI10.1007/S10208-022-09601-8zbMATH Open1548.5202MaRDI QIDQ6566149

Vitaliy Kurlin

Publication date: 3 July 2024

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

latticecontinuitymetricisometryinvariantrigid motion

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Topological lattices, etc. (topological aspects) (54H12) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

• Title not available (Why is that?)
• The LLL algorithm. Survey and applications
• On the Bravais types of lattices
• Nouvelles applications des paramètres continus à la théorie des formes quadratiques. I: Sur quelques propriétés des formes quadratiques positives parfaites.
• On the positive quadratic forms and on the continued fractions like algorithms
• On binary and ternary quadratic forms.
• Chirality and symmetry measures: a transdisciplinary review
• An isometry classification of periodic point sets
• Reduced cells based on extremal principles
• Determination of a binary quadratic form by its values at integer points: Acknowledgement
• Low-dimensional lattices. VI. Voronoi reduction of three-dimensional lattices
• Average minimum distances of periodic point sets – foundational invariants for mapping periodic crystals
• Density functions of periodic sequences
• Geographic style maps for two-dimensional lattices

This page was built for publication: Mathematics of 2-dimensional lattices

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6566149)