Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-06-21T18:53:52.212Z Has data issue: false hasContentIssue false
  • English
  • Français

On Polyhedra with Specified Types of Face

Published online by Cambridge University Press:  03 November 2016

D. W. Crowe  and
J. Molnár
D. W. Crowe
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin, U.S.A
J. Molnár
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin, U.S.A
Get access Rights & Permissions [Opens in a new window]

Extract

1. Introduction

In [1] the following three questions have been asked, and answered: For which values of f is there a convex polyhedron whose faces consist of

  • (i) f triangles? (Ans f = 4, 6, 8, 10, 12, 14, …)

  • (ii) f quadrilaterals? (Ans f = 6, 8, 9, 10, 11, …)

  • (iii) f pentagons? (Ans f = 12, 16, 18, 20, 22, …)

Type
Research Article
Information
The Mathematical Gazette , Volume 53 , Issue 383 , February 1969 , pp. 45 - 50
Copyright
Copyright © Mathematical Association 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Hawkins, A. F., Hill, A. C., Reeve, J. E., Tyrrell, J. A., On certain polyhedra, The Mathematical Gazette (1966), pp. 140–144.Google Scholar
2. König, D., Theorie der endlichen und unendlichen Graphen, Leipzig, 1936.Google Scholar