On the X-ray Number of Almost Smooth Convex Bodies and of Convex Bodies of Constant Width
[摘要] 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 asof the Illumination Conjecture for almost smooth convex bodiesof any dimension and for convex bodies of constant width ofdimensions $3$, $4$, $5$ and $6$.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] almost smooth convex body;convex body of constant width;weakly neighbourly antipodal convex polytope;Illumination Conjecture;X-ray number;X-ray Conjecture [时效性]
