arXiv subjects

Hervé Brönnimann

Publications and source records attributed to Hervé Brönnimann.

2 recordsLinked to original sources

arXiv2005

Line tangents to four triangles in three-dimensional space

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.

math.MG↗

arXiv2003

The number of transversals to line segments in R^3

We completely describe the structure of the connected components of transversals to a collection of n line segments in R^3. We show that n>2 arbitrary line segments in R^3 admit 0, 1, ..., n or infinitely many line transversals. In the latter case, the transversals form up to n connected components.

math.MG↗