Properties of Tilings by Convex Pentagons (2005)
Teruhisa Sugimoto, Tohru Ogawa
Abstract. Let us consider an edge-to-edge and strongly balanced tiling of plane by pentagons. A node of valence s (≥3) in an edge-to-edge tiling is a point that is the common vertex of s tiles. Let...
Random sequential covering of a sphere with identical spherical caps (2001)
Teruhisa Sugimoto, Masaharu Tanemura
Abstract. The coverage problem on the sphere is studied. We consider the sequential covering of identical spherical caps, so that none of them contains the center of another one. Set of the center...
Original Paper Tiling Problem of Convex Pentagon (1999)
Teruhisa Sugimoto, Tohru Ogawa
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...