DescriptionWhen you tile your bathroom, you generally use square tiles; it's also fairly common to use rectangular tiles. It's a little kooky to use triangular or hexagonal tiles, but sometimes you see this. Only the truly cool will consider tiling their bathrooms aperiodically.Recently the 'Einstein' tile was discovered -- a single shape of tile that can tile the infinite plane but in such a way that the pattern never repeats. The Einstein tiling is an example of an aperiodic tiling (up until now such tilings have only been found by using more than one shape of tile). Aperiodic tilings exhibit some regularities, rather than being completely random. In this project we shall examine various aspects of the creation and the mathematics of aperiodic tiling. Note: this project may be co-supervised by Prof Raphael Zentner in the second term.
PrerequisitesThis is a suitable project for students interested in pure mathematics. It might be useful for some aspects of the project if you have taken Topology II and intend to be taking Geometric Topology III, but not necessary.Resources
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email: Andrew Lobb.