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 widthPublished in RUP: 08.08.2016; Views: 2178; Downloads: 43 Link to full text