3D Printer Templates for Two Wang Tiles

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This Demonstration extends Wang tiles for Turing machines that have two symbols and , and possible states , ,. A rectangle and a disk are used as symbols. States of the machine are represented by a regular -gon. The operation of the machine is represented by these tiles:


The first is called the alphabet tile and the next two are merging tiles. The last three represent action tiles: , and .

Choose "palettes" to save the graphics in a form for 3D printing.


Contributed by: Izidor Hafner (March 2020)
Open content licensed under CC BY-NC-SA



This modification of Wang tiles was introduced by Robinson [1]. We added the action tile.


[1] R. M. Robinson, "Undecidability and Nonperiodicity for Tilings of the Plane," Inventiones Mathematicae, 12(3), 1971 pp. 177–209. doi:10.1007/BF01418780.

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