Tuesday, October 8, 2024 - 14:15 in V3-201
A cut-and-project approach to periodic approximants of 12-fold square–triangle–rhombus aperiodic tilings
A talk in the Other series by
Alastair Rucklidge from Leeds
| Abstract: |
When computing properties of quasicrystals and other
aperiodic tilings and patterns, it is often useful to work with
periodic approximants in a finite periodic domain, constructing a
sequence of larger and larger periodic approximants that approach the
aperiodic tiling in a well-understood manner. Aperiodic tilings can be
generated by taking a higher dimension periodic lattice and projecting
it (using an irrational projection) onto a lower dimensional plane. We
explore periodic approximants to 12-fold square-triangle-rhombus
tilings using this cut-and-project approach, with a sequence of
rational approximations to the irrational projection.
Within the CRC this talk is associated to the project(s): A6 |
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