On the illumination of a class of convex bodies

Authors

DOI:

https://doi.org/10.11575/cdm.v14i1.62685

Keywords:

Boltyanski’s illumination problem, convex hull, illumination number, Hadwiger’s covering problem

Abstract

We study Boltyanski’s illumination problem (or Hadwiger's covering problem) for the class of convex bodies in $\mathbb{R}^n$ consisting of convex hulls of a pair of compact convex sets contained in two parallel hyperplanes of $\mathbb{R}^n$. This special case of the problem is completely solved when $n=3$.

References

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Published

2019-12-26

Issue

Vol. 14 No. 1 (2019)

Section

Articles

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