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RATIONAL TETRAHEDRA WITH EDGES IN ARITHMETIC PROGRESSION

MacDougall, James A. and Chisholm, C. (2005) RATIONAL TETRAHEDRA WITH EDGES IN ARITHMETIC PROGRESSION. Journal of Number Theory, 111 . pp. 57-80.

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    Abstract

    This paper discusses tetrahedra with rational edges forming an arithmetic progression, focussing specifically on whether they can have rational volume or rational face areas. Several in¯nite families are found which have rational volume, a face can have rational area only if it's edges are themselves in arithmetic progression, and a tetrahedron can have at most one such rational face area.

    Item Type: Article
    Subjects: 00-xx General
    Faculty: UNSPECIFIED
    Depositing User: Stephanie
    Date Deposited: 13 Dec 2010 11:51
    Last Modified: 13 Dec 2010 11:51
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/804

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