论文信息 - Unilateral and Equitransitive Tilings by Squares

Unilateral and Equitransitive Tilings by Squares

Abstract. Recent results obtained by Martini et al. [4] facilitate the proof that there are exactly eight unilateral and equitransitive tilings of the plane by squares of three sizes. This refutes a conjecture by Schattschneider that appears in the book Tilings and Patterns by Grünbaum and Shephard [2].

Doris Schattschneider

[1] Z. Lučić,et al. Combinatorial classification of fundamental domains of finite area for planar discontinuous isometry groups , 1990 .

[2] Doris Schattschneider,et al. Will It Tile? Try the Conway Criterion! , 1980 .