σ-Morphic sets of prototiles

Abstract

Using a general construction method, sets of prototiles (with more than one element) are obtained which admit a countable infinity of distinct tilings. In contrast to the tilings described in a previous paper, in this case almost all the tilings are periodic. In particular, sets of two, three, four, and five prototiles are described. © 1987 Springer-Verlag New York Inc.