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An Isoperimetric Inequality for Convex Polyhedra with Triangular Faces

Published online by Cambridge University Press:  20 November 2018

Magelone Kömhoff
Magelone Kömhoff*
Affiliation:
Rutgers, The State University, New Brunswick, N. J.
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H. T. Croft [1] has conjectured that among all tetrahedra with fixed total edge length the regular one has the greatest surface area. In this note we prove the following result, which includes this conjecture as a special case

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 5 , December 1968 , pp. 723 - 727
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Croft, H. T., Review Article No. 879, Math. Reviews 35 (1968) 169.Google Scholar
2. Aberth, O., An isoperimetric inequality. Proc. London Math. Soc. (3) 13 (1963) 322-336.Google Scholar