Journal for Geometry and Graphics 09 (2005), No. 1, 051--065
Copyright Heldermann Verlag 2005
Common Normals of Two Tori
Boris Odehnal
Inst. of Discrete Mathematics and Geometry, University of Technology, Wiedner Hauptstrasse 8-10/104, 1040 Wien, Austria
boris@geometrie.tuwien.ac.at
The present paper deals with the computation of the common normals of two tori. We use line geometry in order to describe these common normals as the solution of a system of algebraic equations. Further the non trivial configurations of two tori with infinitely many common normals are investigated.
Keywords: Torus, common normal, line geometry, line complex, congruence of surface normals, ruled surface.
MSC: 51N20; 51M35, 51N35
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