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Notes on the illumination parameters of convex polytopes
György Kiss, Pieter Oloff de Wet, 2012, original scientific article

Keywords: convex bodies, illumination parameters, centrally symmetric, Platonic solids
Published in RUP: 08.08.2016; Views: 2471; Downloads: 53
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On the X-ray number of almost smooth convex bodies and of convex bodies of constant width
Károly Bezdek, György Kiss, 2009, original scientific article

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.
Keywords: x-ray numbers, convex bodies, smooth convex bodies, constant width
Published in RUP: 08.08.2016; Views: 2154; Downloads: 43
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On the successive illumination parameters of convex bodies
Károly Bezdek, Károly Böröczky, György Kiss, 2006, original scientific article

Keywords: illumination parameters, convex bodies
Published in RUP: 08.08.2016; Views: 2247; Downloads: 172
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