NDLI: Dissection of the Hypercube into Simplexes

Content Provider	Scilit
Author	Mead, D. G.
Copyright Year	1979
Description	A generalization of Sperner's Lemma is proved and, using extensions of p-adic valuations to the real numbers, it is shown that the unit hypercube in n dimensions can be divided into m simplexes all of equal hypervolume if and only if m is a multiple of n!. This extends the corresponding result for of Paul Monsky.
Related Links	http://www.ams.org/proc/1979-76-02/S0002-9939-1979-0537093-6/S0002-9939-1979-0537093-6.pdf
Ending Page	304
Page Count	3
Starting Page	302
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2043008
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	76
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Hypercube Into Simplexes Dissection of the Hypercube
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Dissection of the Hypercube into Simplexes