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Article Dans Une Revue Discrete and Computational Geometry Année : 2007

Lines tangent to four triangles in three-dimensional space

Résumé

We investigate the lines tangent to four triangles in $\mathbb{R}^3$. 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.
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Dates et versions

inria-00000598 , version 1 (04-11-2005)

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Hervé Brönnimann, Olivier Devillers, Sylvain Lazard, Frank Sottile. Lines tangent to four triangles in three-dimensional space. Discrete and Computational Geometry, 2007, 37 (3), pp.369-380. ⟨10.1007/s00454-006-1278-3⟩. ⟨inria-00000598⟩
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