Polygons with parallel opposite sides

DOI10.1007/s00454-013-9520-2zbMath1282.52001arXiv1210.2442OpenAlexW2011380711MaRDI QIDQ368766

Marcos Craizer, Moacyr A. H. B. da Silva, Ralph C. Teixeira

Publication date: 23 September 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2442

zbMATH Keywords

discrete area evolutediscrete area parallelsdiscrete central symmetry setdiscrete equidistants

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Affine differential geometry (53A15)

Related Items (1)

Iteration of involutes of constant width curves in the Minkowski plane

Cites Work

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• Affine properties of convex equal-area polygons
• A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces
• Bifurcations of the center of symmetry
• Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds
• Area-based medial axis of planar curves
• Area Distances of Convex Plane Curves and Improper Affine Spheres
• Discrete Differential Geometry
• Affine-Distance symmetry sets

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