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: firstname.lastname@example.org
(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.