A Variational Principle for Cyclic Polygons with Prescribed Edge Lengths

DOI10.1007/978-3-662-50447-5_5zbMath1353.51013arXiv1506.08069OpenAlexW780310938MaRDI QIDQ2832773

Unnamed Author, Lara Skuppin, Boris A. Springborn

Publication date: 14 November 2016

Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08069

zbMATH Keywords

existenceuniquenessvariational principlespherical geometryhyperbolic geometrycyclic polygonsEuclidean theorem\(1+1\) spacetimeprescribed side lengths

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Convex sets in (2) dimensions (including convex curves) (52A10) Euclidean geometries (general) and generalizations (51M05)

Related Items (4)

Generalization of Heron's and Brahmagupta's equalities to any cyclic polygon ⋮ Rigidity of bordered polyhedral surfaces ⋮ Symmetries of 3-polytopes with fixed edge length ⋮ Zeros and amoebas of partition functions

Cites Work

• The decorated Teichmüller space of punctured surfaces
• Small deformations of polygons and polyhedra
• The Isoperimetric Problem
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