On Polyhedral Realizability of Certain Sequences
- 1 February 1969
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 12 (1) , 31-39
- https://doi.org/10.4153/cmb-1969-004-1
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- The Number of Hexagons and the Simplicity of Geodesics on Certain PolyhedraCanadian Journal of Mathematics, 1963