| | | Professor Jamie Walton
~ When is a Polytopal Cut and Project Set a Substitution Pattern ? ~
In the final talk of the workshop, Jamie Walton discussed recent progress on sorting out the best way of describing and thinking about Cut and Project sets. The big question addressed by Jamie and co-workers Edmund Harris and Henna Koivusalo is “What is the precise nature of the relationship between the two main methods of constructing aperiodically ordered patterns”? One method is by substitution, the other by Cut and Project. In particular the goal is to pin down when both methods can be used. The work has succeeded in identifying a simple set of necessary and sufficient conditions. For an up-to-date account, see Jamie's paper, A Characterisation of Linear Repetitivity for Cut and Project Sets with General Polytopal Windows.
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