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Alternative proof of Sine's theorem on the size of a regular polygon in \(\mathbb{R}{}^ n\) with the \(\ell{}_ \infty\)-metric

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Publication:1189291
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DOI10.1007/BF02187853zbMath0753.51011OpenAlexW2049776615MaRDI QIDQ1189291

H. A. Wilbrink, Aart Blokhuis

Publication date: 26 September 1992

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

Full work available at URL: https://eudml.org/doc/131206

zbMATH Keywords

regular polygonmaximum norm


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)


Related Items

Transitive actions of finite Abelian groups of sup-norm isometries, Lattice isomorphisms and iterates of nonexpansive maps, Odd-distance sets and right-equidistant sequences in the maximum and Manhattan metrics, Max-norm Ramsey theory, Estimates of the periodic points for nonexpansive operators, Odd-distance and right-equidistant sets in the maximum and Manhattan metrics, Cardinalities of \(k\)-distance sets in Minkowski spaces, From max-plus algebra to nonexpansive mappings: A nonlinear theory for discrete event systems.



Cites Work

  • Nonlinear models of diffusion on a finite space
  • Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates
  • On nonlinear contraction semigroups in sup norm spaces
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