An illumination problem for zonoids
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Let Z ⊂ E d be ad-dimensional zonoid, whered≥3. Boltjanskii and Soltan recently proved that if Z is not a parallelotope, then Z can be illuminated by 3·2d−2 points disjoint from Z. In the present paper we prove a related result. Namely, we show that ifd+1=2 p , then Z can be illuminated by 2 d /d+1 lines lying outside Z.
KeywordsBoundary Point Convex Body Convex Polytope Edge Graph Affine Subspace
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