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Research Interests
- Aperiodic Tilings and Discrete Geometry, especially relating to substitution rules.
- The links between the combinatorics and geometry of substitution rules and their number theoretic properties. For more see the Tilings Enclyclopedia which I manage with Dirk Frettlöh.
- Using images to build intuition and understanding of mathematics and to communicate its beauty. For more see my art work below.
- Ergodic Optimisation
Art Work
I also have a gallery of other images.
 Wooden Tiles |
 7-fold Star |
 24 9-fold stars |
 Paintings |
 Octagonal Gasket |
 Ammann Squares |
 Ammann Scaling |
 Two Squares |
 Surfaces in three and four dimensions |
 Sakura |
|
 Sculpture System 5 |
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