Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 42, No. 2, pp. 439-442 (2001)

Polygons with Hidden Vertices

Günter Ewald

Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, Universitätsstrasse 150, D-44801 Bochum, Germany

Abstract: Given a point $M$ in Euclidean 3-space we show that there exists a polygon without self-intersection and not containing $M$ such that viewed from $M$ each vertex of the polygon is hidden behind an edge of the polygon. As an application, we construct a toric 4-variety which has peculiar compactification properties.

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