
Journal for Geometry and Graphics 09 (2005), No. 1, 051065 Copyright Heldermann Verlag 2005 Common Normals of Two Tori Boris Odehnal Inst. of Discrete Mathematics and Geometry, University of Technology, Wiedner Hauptstrasse 810/104, 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 [ Fulltextpdf (590 KB)] for subscribers only. 