The Application of Winding Numbers to the Interior Problem of Nonconvex Polygons and Polyhedra

Stefan Welke
In der Wehrhecke 29, D-53125 Bonn, Germany

The winding number for closed curves and polygons in the Euclidean plane is generalized to polyhedra in three-space. The winding number allows to decide wether a point is in the interior or exterior of a closed polygon/polyhedron. Polygons and polyhedra need not be convex and self-intersections are allowed.