Elementary geometry on the integer lattice

DOI10.1007/s00010-018-0557-4zbMath1406.11063OpenAlexW2802791715MaRDI QIDQ1662428

Hiroshi Maehara, Horst Martini

Publication date: 20 August 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-018-0557-4

zbMATH Keywords

integer latticegeometry of numberslattice polygonPick's theoremSteinhaus' lattice point problem

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) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21) Other number representations (11A67) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

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