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Uniform design over a convex polyhedron

โœ Scribed by Kaitai Fang; Guoliang Tian; Minyu Xie


Book ID
105642032
Publisher
Springer
Year
1999
Tongue
English
Weight
143 KB
Volume
44
Category
Article
ISSN
1001-6538

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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