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Journal of Combinatorial Theory Series B
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Dissections of a tetrahedron

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1971 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series B, volume 11, pages 58-66 (issn: 0095-8956, Copyright policy )
Authors: Gerald L. Alexanderson; John E. Wetzel;

doi: 10.1016/0095-8956(71)90014-1

Dissections of a tetrahedron

Abstract

AbstractA formula for the maximum number of cells formed by planes that dissect a tetrahedron through its edges is established in four ways: by recursion, by a computation using Euler's formula V − E + F − C = 1, as a special case of a general partition formula due to S. Roberts, and as a consequence of a formula of Steiner's on the partition of space by families of parallel planes.

Related Organizations
Keywords

Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, elementary geometry, Theoretical Computer Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
hybrid