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A dice probability problem
Author(s) -
McMullen P.
Publication year - 1974
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300008573
Subject(s) - dice , mathematics , polytope , regular polygon , cover (algebra) , geometric probability , combinatorics , convex polytope , geometry , convex analysis , convex optimization , mechanical engineering , engineering
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.