On Reuleaux triangles in Minkowski planes
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.
scientific article; zbMATH DE number 5152751