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Perfect pyramids

Published online by Cambridge University Press:  17 April 2009

Ralph Heiner Buchholz
Ralph Heiner Buchholz
Affiliation:
Department of MathematicsUniversity of Newcastle New South Wales2308, Australia
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Abstract

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This paper discusses rational edged tetrahedra, in 3, 4 and n dimensions, with rational volume. The main results are (i) a proof of the existence of infinitely many tetrahedra with rational edge-lengths, face-areas and volume and (ii) a proof that there exist dimensions for which all regular hypertetrahedra with rational edge-lengths have rational hypervolume.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 3 , June 1992 , pp. 353 - 368
Copyright
Copyright © Australian Mathematical Society 1992

References

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