Lines Tangent to Four Triangles in Three-Dimensional Space Academic Article uri icon

abstract

  • We investigate the lines tangent to four triangles in R3. By a construction, there can be as many as 62 tangents. We show that there are at most 162 connected components of tangents, and at most 156 if the triangles are disjoint. In addition, if the triangles are in (algebraic) general position, then the number of tangents is finite and it is always even. Springer 2007.

published proceedings

  • Discrete & Computational Geometry

altmetric score

  • 3

author list (cited authors)

  • Bronnimann, H., Devillers, O., Lazard, S., & Sottile, F.

citation count

  • 2

complete list of authors

  • Bronnimann, H||Devillers, O||Lazard, S||Sottile, F

publication date

  • March 2007