Quasiperiodic Tilings Derived from a Cuboctahedron
—Projection from 6D Lattice Space—

Takashi Soma¹ and Yasunari Watanabe²*

¹3-32-2-109 Akatsuka-shinmachi, Itabashi-ku, Tokyo 175-0093, Japan
²Department of Information Systems, Teikyo Heisei University, 2289 Uruido, Ichihara, Chiba 290-0193, Japan
*E-mail address: watanabe@thu.ac.jp

(Received April 26, 2004; Accepted July 22, 2004)

Keywords: Quasiperiodic Tiling, Projection Method, Cuboctahedron, 6D Lattice Space

Abstract. A 3D quasiperiodic tiling derived from a cuboctabedron is obtained by projection from 6D lattice space to 3D tile-space, one less dimensional lattice space than the conventional one. A lattice matrix defining projections from 6D lattice space to tile- and test-space is given and its geometric properties are investigated.