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Heronian Tetrahedron

A Tetrahedron with Rational sides, Face Areas, and Volume. The smallest examples have pairs of opposite sides (148, 195, 203), (533, 875, 888), (1183, 1479, 1804), (2175, 2296, 2431), (1825, 2748, 2873), (2180, 2639, 3111), (1887, 5215, 5512), (6409, 6625, 8484), and (8619, 10136, 11275).

See also Heron's Formula, Heronian Triangle


References

Guy, R. K. ``Simplexes with Rational Contents.'' §D22 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 190-192, 1994.




© 1996-9 Eric W. Weisstein
1999-05-25