I have written a java program to investigate certain quasi-periodic patterns of Truchet tilings. The Truchet tiles are the two tiles below.
When used to tile the plane, they fill the plane with simple curves. Following these curves gives a dynamical system on Z2, or from a slightly more sophisticated point of view on certain tiling spaces.
This applet asks (and points to answers to) the question "do quasi-periodic Truchet tilings have special dynamical properties?"Options:
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Acknowledgement of Support:
Support for this work was provided by N.S.F. Postdoctoral Fellowship DMS-0803013, N.S.F. Grant DMS-1101233 and a PSC-CUNY Award (funded by The Professional Staff Congress and The City University of New York).