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

Mathematics – Metric Geometry

Scientific paper

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Scientific paper

10.4153/CMB-2009-037-0

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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