InforLorV4, Main, Exploration, bibRecord, 004C35

Lines Tangent to Four Triangles in Three-Dimensional Space

Identifieur interne : 004C35 ( Main/Exploration ); précédent : 004C34; suivant : 004C36

Lines Tangent to Four Triangles in Three-Dimensional Space

Auteurs : H. Bronnimann [États-Unis] ; O. Devillers [France] ; S. Lazard [France] ; F. Sottile [États-Unis]

Source :

Discrete & Computational Geometry [ 0179-5376 ] ; 2007-03-01.

RBID : ISTEX:A0D01F9490A3F05C00907EFBA26E08AAF67714F2

Abstract

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.

Url:

DOI: 10.1007/s00454-006-1278-3

Affiliations:

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<front><div type="abstract" xml:lang="en">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.</div>
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Lines Tangent to Four Triangles in Three-Dimensional Space

Lines Tangent to Four Triangles in Three-Dimensional Space

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Abstract

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