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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Illumination for unions of boxes in $ {\bf R}\sp d$

Author: Marilyn Breen
Journal: Proc. Amer. Math. Soc. 116 (1992), 197-202
MSC: Primary 52A30
MathSciNet review: 1089402
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Abstract: Let $ S$ be a finite union of boxes (polytopes whose edges are parallel to the coordinate axes) in $ {R^d}$. If every two vertices of $ S$ are clearly illumined by some common translate of the box $ T$, then there is a translate of $ T$ that clearly illumines every point of $ S$ . A similar result holds when appropriate boundary points of $ S$ are illumined (rather than clearly illumined) by translates of box $ T$.

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PII: S 0002-9939(1992)1089402-6
Article copyright: © Copyright 1992 American Mathematical Society

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