Layer superposition of the root lattice \(A_n\)

DOI10.1134/S0001434621010259zbMath1468.52015OpenAlexW3182416577MaRDI QIDQ2037653

Viatcheslav Grishukhin

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010259

zbMATH Keywords

Dirichlet-Voronoi cellsuperposition of layersroot lattice \(A_n\)

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Polyhedra and polytopes; regular figures, division of spaces (51M20) Lattice packing and covering (number-theoretic aspects) (11H31) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Parallelohedra defined by quadratic forms
• Free and nonfree Voronoi polyhedra
• Properties of faces of parallelohedra
• Partitioning of Euclidean spaces into L-polytopes of some perfect lattices
• Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
• Zonotopes and parallelotopes
• The construction of perfect and extreme forms II
• Space tiling zonotopes
• On the theory of mainstay parallelohedra
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