Keywords: n-dimensional finite, projective space, cyclic modelPublished in RUP: 08.08.2016; Views: 2421; Downloads: 99 Link to full text
Keywords: Baer subgeometries, finite projective spaces, non-desarguesian translation planesPublished in RUP: 08.08.2016; Views: 3009; Downloads: 78 Link to full text
Keywords: graph factorization, affine spaces, projective spaces, spreadPublished in RUP: 08.08.2016; Views: 2418; Downloads: 112 Link to full text
Keywords: semi-quadratic set, polarity, blocking setPublished in RUP: 08.08.2016; Views: 2377; Downloads: 52 Link to full text
Keywords: convex bodies, illumination parameters, centrally symmetric, Platonic solidsPublished in RUP: 08.08.2016; Views: 2471; Downloads: 53 Link to full text
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: 2159; Downloads: 43 Link to full text
Keywords: finite plane, arc, sumset theoremsPublished in RUP: 08.08.2016; Views: 2135; Downloads: 150 Link to full text
Keywords: Desarguesian plane, blocking set, semiovalPublished in RUP: 08.08.2016; Views: 2455; Downloads: 129 Link to full text
Keywords: illumination parameters, convex bodiesPublished in RUP: 08.08.2016; Views: 2248; Downloads: 172 Link to full text
Keywords: antipodal set, strictly antipodal set, antipodal family of sets, strictly antipodal family of setsPublished in RUP: 08.08.2016; Views: 2497; Downloads: 216 Link to full text