Constructing a Tetrahedron with Prescribed Heights and Widths

  • Lu Yang
  • Zhenbing Zeng
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4869)


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.


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


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Lu Yang
    • 1
    • 2
  • Zhenbing Zeng
    • 1
  1. 1.Institute of Theoretical Computing, East China Normal University, Beijing 100083China
  2. 2.Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041China

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