Hyplane—Polyhedral Models of Hyperbolic Plane

Kazushi Ahara

Department of Mathematics School of Science and Technology, Meiji University, 1-1-1 Higashi-mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan
E-mail address: ahara@math.meiji.ac.jp

(Received January 31, 2005; Accepted August 18, 2005)

Keywords: Polyhedral Model, Hyperbolic Plane, Irregular Tiling

Abstract. In this article we introduce a new category of polyhedra, called Hyplane. Hyplane is a polyhedral analogue of the hyperbolic plane in R³. This consists of faces of the same triangles, and looks like a horse saddle shape everywhere.