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A dice probability problem

Published online by Cambridge University Press:  26 February 2010

P. McMullen
P. McMullen
Affiliation:
University College London, Gower Street, London WC1E 6BT.
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Abstract

Two different approaches to a probability problem involving convex polytopes lead to a geometric proof of an integral geometric result about mixed surface areas. The proof can be modified to cover the corresponding results about mixed volumes.

Information

Type
Research Article
Information
Mathematika , Volume 21 , Issue 2 , December 1974 , pp. 193 - 198
Copyright
Copyright © University College London 1974

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References

Bonnesen, T. and Fenchel, W.. Theorie der konvexen Körper (Springer, Berlin, 1934, reprinted Chelsea, New York, 1948).Google Scholar
Firey, W. J.. “An integral-geometric meaning for lower order area functions of convex bodies”, Mathematika, 19 (1972), 205–212.Google Scholar
Hadwiger, H.. Vorlesungen über Inhalt, Oberfläche und Isoperimetrie (Springer, Berlin-Göttingen-Heidelberg, 1957).Google Scholar