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An approximate method of calculating the volume of a convex polyhedron

โœ Scribed by M.K. Kozlov


Publisher
Elsevier Science
Year
1982
Weight
341 KB
Volume
22
Category
Article
ISSN
0041-5553

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On the section of a convex polyhedron
โœ Peter Frankl; Hiroshi Maehara; Junichiro Nakashima ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

Let P be a convex polyhedron in R s, and E be a plane cutting P. Then the section Pt=Pc~E is a convex polygon. We show a sharp inequality (the perimeter of Pe) <~ L(P), where L(P) denotes the sum of the edge-lengths of P. For a polyhedron (or a polygon) X, L(X) denotes the sum of the edge-lengths o