On a convex polyhedron in a regular point system

DOI10.1070/IM9265zbMATH Open1521.52004OpenAlexW4205346508MaRDI QIDQ6137425

Mikhail Shtogrin

Publication date: 2 September 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im8998

zbMATH Keywords

latticerotationpolyhedronDelone setscrystal structuresfacetingrational directionirrational coordinatesorder of axisregular point system

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Polyhedra and polytopes; regular figures, division of spaces (51M20) Other geometric groups, including crystallographic groups (20H15) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Symmetry properties of polytopes (52B15) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (1)

On the symmetry of a convex polyhedron in a translational point multilattice

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