Tiling Problem of Convex Pentagon

Teruhisa Sugimoto¹ and Tohru Ogawa²

¹Department of Statistical Science, The Graduate University for Advanced Studies, 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106-8569, Japan
E-mail: sugimoto@ism.ac.jp
²Institute of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan
E-mail: ogawa@bk.tsukuba.ac.jp

(Received November 19, 1999; Accepted January 10, 2000)

Keywords: Convex Pentagon, Tiling, Tessellation, Tessellating Pentagon, Pattern

Abstract. We discovered the new tiling patterns each of which is composed of a single kind of convex pentagon. Moreover, we propose a new concept of classification method of the tessellating convex pentagons, which is the only unsolved case among the corresponding tessellating convex polygon problems.