No. 1113

Title:

Systematic Study of Convex Pentagonal Tilings, II: Tilings by Convex Pentagons with Four Equal-length Edges

Author(s):

SUGIMOTO, Teruhisa (The Institute of Statistical Mathematics);
OGAWA, Tohru (Emeritus Professor of University of Tsukuba)

Key words:

Convex pentagon, Tiling, Tile, Node, Pattern

Abstract:

    We derived 14 types of tiling cases under a restricted condition in our previous report, which studied plane tilings with congruent convex pentagons. That condition is referred to as the category of the simplest set of node (vertex of edge-to-edge tiling) conditions when the tile is a convex pentagon with four equal-length edges. This paper shows the detailed properties of convex pentagonal tiles with four equal-length edges and tiling patterns. Furthermore, we present the relationship between the idiomatic expression in various overviews and our results.