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arXiv · 0903.4830

On the X-ray number of almost smooth convex bodies and of convex bodies of constant width

Karoly Bezdek·Gyorgy Kiss
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Abstract

The X-ray numbers of some classes of convex bodies are investigated. In particular, we give a proof of the X-ray Conjecture as well as of the Illumination Conjecture for almost smooth convex bodies of any dimension and for convex bodies of constant width of dimensions 3, 4, 5 and 6.

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Karoly Bezdek, Gyorgy Kiss. 2009-03-27. On the X-ray number of almost smooth convex bodies and of convex bodies of constant width. https://doi.org/10.4153/cmb-2009-037-0

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