Constructing a Tetrahedron with Prescribed Heights and Widths

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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.

Keywords generalized Cayley-Menger algebra - widths of a tetrahedron - geometric constraint solving

This work is supported in part by NKBRPC-2004CB318003 and NNSFC-10471044.

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Constructing a Tetrahedron with Prescribed Heights and Widths

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Abstract

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