The Fascination of the Elementary

DOI10.2307/2323417zbMath0629.52018OpenAlexW4246105340MaRDI QIDQ3766421

Paul R. Scott

Publication date: 1987

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323417

zbMATH Keywords

areaconvex polygonEuler characteristicregular polygonlattice polygonPick's formula

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (12)

On sizes and shapes of lattice figures ⋮ Elementary geometry on the integer lattice ⋮ An odd formula for the volume of three-dimensional lattice polyhedra ⋮ Realizable quadruples for hex-polygons. Combinatorics of honeycombs ⋮ A proof of Coleman's conjecture ⋮ Areas of lattice figures in the planar tilings with congruent regular polygons ⋮ Polynomials and spatial Pick-type theorems ⋮ Primitive and mensurable hex-triangles ⋮ Counting parallel segments: new variants of Pick's area theorem ⋮ Planar lattices and equilateral polygons ⋮ On the volume of lattice manifolds ⋮ The boundary characteristic and the volume of lattice polyhedra

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