An Estimate for the Problem of Illumination of the Boundary of a Convex Body in E3 |
| |
| Authors: | Ioannis Papadoperakis |
| |
| Institution: | (1) Department of Mathematics, University of Crete, 714 09 Heraklion, Crete, Greece |
| |
| Abstract: | Let A be a convex body in Euclidean space E3. We denote by H(A) the smallest number of homothetic 'reduced copies of A by which it is possible to cover the whole of A. The conjecture of Hadwiger is H(A)  8. We prove that H(A) 16. |
| |
| Keywords: | convex body Euclidean space conjecture of Hadwiger |
| 本文献已被 SpringerLink 等数据库收录！ |
