Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T22:53:39.723Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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