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
The minimum sphere covering a convex polyhedron
β Scribed by Jack Elzinga; Donald Hearn
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 179 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0894-069X
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π SIMILAR VOLUMES
In this paper evidence is presented that N charges allowed to distribute wtthin a sphere will reside on the surface and the mnnmum-energy states up to N=45 are given. The results vindicate classical electrostatics theory. \* (B) is not used in order to avoid confusion with Berezin's planar B.
Let H=(V H , E H ) be a graph, and let k be a positive integer. A graph G=(V G , E G ) is H-coverable with overlap k if there is a covering of the edges of G by copies of H such that no edge of G is covered more than k times. Denote by overlap(H, G) the minimum k for which G is H-coverable with over