Convex body, Projection, Section, Direct homothety, Similarity, Affine equivalence
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.
Proceedings of the American Mathematical Society
Required Publisher's Statement
Published by: American Mathematical Society
Article DOI: 10.2307/2160435
Stable URL: http://www.jstor.org/stable/2160435
Gardner, Richard J. and Volčič, Aljoša, "Convex-Bodies with Similar Projections" (1994). Mathematics. 28.
Subjects - Topical (LCSH)
Convex bodies; Geometry, Affine
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