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On Polyhedral Realizability of Certain Sequences
Published online by Cambridge University Press: 20 November 2018
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A finite sequence (pk) = (p3, p4,…) of non-negative integers shall be called realizable provided there exists a 3-valent 3-polytope P which has pi. i-gonal faces for every i. P is called a realization of (pk).
For realizability of a sequence (pk), from Euler's formula follows
(*) as a necessary condition.
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- Copyright © Canadian Mathematical Society 1969
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