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A note on some networks of polygons

Published online by Cambridge University Press:  31 October 2008

W. Barrett
Affiliation:
2 Long Drive, South Ruislip.
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Given an infinity of polygons which form the boundary of a finite number of polyhedra, we shall consider the complex K consisting of the polyhedra, and of the faces, edges and vertices of the polygons. We consider only those cases in which the Eulerian Characteristic N of K is finite. Then if the mean number of sides meeting at a vertex is p, and the mean number of sides of a polygon is q, then

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1939