Constructing a tetrahedron with prescribed heights and widths

Authors:
Lu Yang;Zhenbing Zeng
Affiliations:
Institute of Theoretical Computing, East China Normal University, Beijing, China and Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu, China;Institute of Theoretical Computing, East China Normal University, Beijing, China
Venue:
ADG'06 Proceedings of the 6th international conference on Automated deduction in geometry
Year:
2006

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Abstract

Employing a method of distance geometry, we present a symbolic solution to the following problem: express the edge-lengths of a tetrahedron in terms of its heights and widths.