Bodies of constant brightness (Q1127976)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Bodies of constant brightness |
scientific article; zbMATH DE number 1186707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bodies of constant brightness |
scientific article; zbMATH DE number 1186707 |
Statements
Bodies of constant brightness (English)
0 references
10 August 1998
0 references
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].
0 references
body of revolution
0 references
constant brightness
0 references
