Physical Sciences and Mathematics Commons^™

Convex-Bodies With Similar Projections, Richard J. Gardner, Aljoša VolčIč

Mathematics Faculty Publications

By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in E^d, d ≥ 3, whose projections onto each two-dimensional subspace are similar, but which are not themselves even affinely equivalent.