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Heronian TetrahedronA Tetrahedron with Rational sides, Face Areas, and Volume. Thesmallest 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.
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