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Relationships between Widths of a Convex Body and of an Inscribed Parallelotope Marek Lassak Institut für Informatik Freie Universität Berlin Takustr. 9, D-14195 Berlin email: lassak@inf.fu-berlin.de Report B 00-08 April 2000 Abstract Assume that a parallelotope P is inscribed in a three-dimensional convex body C. A conjecture says that w-11+w-12+w-13>=1, where wi is the ratio of the width of C to the width of P for the direction perpendicular to the i-th pair of parallel facets of P. We prove three weaker inequalities. One of them is w-11+w-12+a-13>=1, where a3 denotes the related axial diameter of C. Get the report here or by anonymous ftp: Server: fubinf.inf.fu-berlin.de File: pub/reports/tr-b-00-08.ps.gz Clear as mud.....
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Alex Blair :remember :support :drunk: |
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