an:05256464
Zbl 1195.51024
Yang, Lu; Zeng, Zhenbing
Constructing a tetrahedron with prescribed heights and widths
EN
Botana, Francisco (ed.) et al., Automated deduction in geometry. 6th international workshop, ADG 2006, Pontevedra, Spain, August 31--September 2, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-77355-9/pbk). Lecture Notes in Computer Science 4869. Lecture Notes in Artificial Intelligence, 203-211 (2007).
2007
a
51M20 51K05 68T15 68U05
generalized Cayley-Menger algebra; widths of a tetrahedron; geometric constraint solving
Summary: 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.
For the entire collection see [Zbl 1132.68006].