On Reuleaux triangles in Minkowski planes
type: Item
instance of: scholarly article
title: On Reuleaux triangles in Minkowski planes
zbMATH Open document ID: 1121.52006
author: Horst Martini
author: Zokhrab Mustafaev
published in: Beiträge zur Algebra und Geometrie
publication date: 2007-05-14T00:00:00Z
full work available at URL: https://eudml.org/doc/226148
full work available at URL: 18.html
review text: This paper studies domains of constant width in a Minkowski plane (\(\mathbb R^2\) with a norm). It deals with Minkowski planes in which the Reuleaux triangles are homothetic to the unit disc, with sharp bounds for the ratios of the areas of discs and Reuleaux triangles of the same width, and with some inequalities for Reuleaux triangles. The Minkowskian analogue of Barbier's theorem is also given.
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 5152751
zbMATH Keywords: area inequalities
reviewed by: Rolf Schneider
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5152751