Bodies of constant brightness
type: Item
instance of: scholarly article
title: Bodies of constant brightness
zbMATH Open document ID: 0926.52011
author: Paolo Gronchi
published in: Archiv der Mathematik
publication date: 1998-08-10T00:00:00Z
review text: The author deals with the class of convex bodies of revolution in \(\mathbb{R}^n\) having a prescribed constant brightness. He proves that the \(n\)-dimensional Blaschke-Firey body in this class is the unique (up to rigid motion) body of minimal volume there. The Blaschke-Firey body is a natural generalization, due to Firey, of the Reuleaux triangle and the 3-dimensional body of constant brightness constructed by Blaschke in 1916 [\textit{W. Blaschke}, `Kreis und Kugel.' New York (1949; Zbl 0041.08802); pp. 151-154].
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 1186707
zbMATH Keywords: body of revolution
zbMATH Keywords: constant brightness
reviewed by: B. V. Dekster
MaRDI profile type: Publication
full work available at URL: s000130050224
OpenAlex ID: W2048504818
DOI: 10.1007/S000130050224
description: scientific article; zbMATH DE number 1186707