On the geometric structure of lattice \(U\)-polygons

DOI10.1016/j.disc.2006.09.044zbMath1123.52008OpenAlexW1994658231MaRDI QIDQ2384414

Paolo Dulio, Carla Peri

Publication date: 21 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.09.044

zbMATH Keywords

latticeaffinely regular polygonlattice \(U\)-polygon

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (8)

Ghosts in discrete tomography ⋮ Sharp affine stability estimates for Hammer's problem ⋮ Convex decomposition of \(U\)-polygons ⋮ Reconstruction of hv-convex sets by their coordinate X-ray functions ⋮ Discrete tomography determination of bounded sets in \(\mathbb{Z}^n\) ⋮ Affinely regular polygons as extremals of area functionals ⋮ On the existence of \(U\)-polygons of class \(c\geq 4\) in planar point sets ⋮ Ambiguous reconstructions of hv-convex polyominoes

Cites Work

• Unnamed Item
• Affine regularity
• Properties of affinely regular polygons
• Discrete tomography. Foundations, algorithms, and applications
• Affinely regular polygons
• Algebraic aspects of discrete tomography
• On Hammer's X-Ray Problem
• Discrete tomography: Determination of finite sets by X-rays
• X-rays characterizing some classes of discrete sets

This page was built for publication: On the geometric structure of lattice \(U\)-polygons