Document Type
Article
Publication Date
6-1994
Keywords
Convex body, Projection, Section, Direct homothety, Similarity, Affine equivalence
Abstract
By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in Ed, d ≥ 3, whose projections onto each two-dimensional subspace are similar, but which are not themselves even affinely equivalent.
Publication Title
Proceedings of the American Mathematical Society
Volume
121
Issue
2
First Page
563
Last Page
568
DOI
http://dx.doi.org/10.2307/2160435
Required Publisher's Statement
Published by: American Mathematical Society
Article DOI: 10.2307/2160435
Stable URL: http://www.jstor.org/stable/2160435
Recommended Citation
Gardner, Richard J. and Volčič, Aljoša, "Convex-Bodies with Similar Projections" (1994). Mathematics Faculty Publications. 28.
https://cedar.wwu.edu/math_facpubs/28
Subjects - Topical (LCSH)
Convex bodies; Geometry, Affine
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
