On the isoperimetric inequalities for Reuleaux polygons

DOI10.1007/BF01221070zbMath0956.51011MaRDI QIDQ1581015

Yaakov S. Kupitz, Horst Martini

Publication date: 4 March 2001

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalityReuleaux polygonBlaschke-Lebesgue TheoremFirey-Sallee Theorem

Mathematics Subject Classification ID

Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (6)

Body of constant width with minimal area in a given annulus ⋮ Groemer-Wallen measure of asymmetry for Reuleaux polygons ⋮ On a measure of asymmetry for Reuleaux polygons ⋮ On the circular hull property in normed planes ⋮ A generalization of domains of constant width ⋮ A new construction of curves of constant width

Cites Work

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• Isoperimetric ratios of Reuleaux polygons
• A linear-time construction of Reuleaux polygons
• Sets of constant width
• Stability Theorems for Convex Domains of Constant Width
• Maximal Areas of Reuleaux Polygons
• A PROOF OF BLASCHK'S THEOREM ON THE REULEAUX TRIANGLE
• From intersectors to successors

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