The geometry of cyclic hyperbolic polygons

DOI10.1216/RMJ-2016-46-3-801zbMath1350.51003arXiv1101.4971OpenAlexW2963321772MaRDI QIDQ315367

Jason Deblois

Publication date: 21 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4971

zbMATH Keywords

convex polygoncyclic hyperbolic polygons

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (5)

Generalization of Heron's and Brahmagupta's equalities to any cyclic polygon ⋮ Metric characteristics of hyperbolic polygons and polyhedra ⋮ The maximal injectivity radius of hyperbolic surfaces with geodesic boundary ⋮ Bounds for several-disk packings of hyperbolic surfaces ⋮ The centered dual and the maximal injectivity radius of hyperbolic surfaces

Cites Work

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• Brahmagupta formula for cyclic quadrilaterials in the hyperbolic plane
• The centered dual and the maximal injectivity radius of hyperbolic surfaces
• On the areas of cyclic and semicyclic polygons
• The area of cyclic polygons: recent progress on Robbins' conjectures
• Zur Begründung der elementaren Inhaltslehre in der hyperbolischen Ebene
• Small deformations of polygons and polyhedra
• Areas of Polygons Inscribed in a Circle

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