Line tangents to four triangles in three-dimensional space Institutional Repository Document

abstract

• We investigate the lines tangent to four triangles in 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.

authors

• Sottile, Frank

author list (cited authors)

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

citation count

• 0

complete list of authors

• Brönnimann, Hervé||Devillers, Olivier||Lazard, Sylvain||Sottile, Frank

Book Title

• arXiv

publication date

• February 2005

keywords

• Math.mg

Digital Object Identifier (DOI)

• 10.48550/arxiv.math/0502564