Can you cover your shadows?

11Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

A subset X of the d-dimensional Euclidean space ℝd can cover its shadows in Rd, if every orthogonal projection of X onto a (d-1)-dimensional linear subspace of ℝd is contained in some congruent copy of X. Whereas every two-dimensional convex disc C ⊂Rd has this property, no (d-1)-polytope does, provided that d>-4. © 1986 Springer-Verlag New York Inc.

Cite

CITATION STYLE

APA

Debrunner, H. E., & Mani-Levitska, P. (1986). Can you cover your shadows? Discrete & Computational Geometry, 1(1), 45–58. https://doi.org/10.1007/BF02187682

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free