Andrew Archer: Rectangle-triangle soft-matter quasicrystals with hexagonal symmetry

  • 14 October 2022
  • 14:00-15:00
  • SCH 1.05

Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from, e.g., kites and darts, squares and equilateral triangles, rhombi- or shield-shaped tiles, and can have a variety of different symmetries.

However, almost all quasicrystals occurring in soft matter are of the dodecagonal type. Here we investigate a class of aperiodic tilings with hexagonal symmetry that are based on rectangles and two types of equilateral triangles.

We show how to design soft-matter systems of particles interacting via pair potentials containing two length scales that form aperiodic stable states with two different examples of rectangle-triangle tilings. One of these is the bronze-mean tiling, while the other is a generalization. Our work points to how more general (beyond dodecagonal) quasicrystals can be designed in soft matter. Joint work with Tomonari Dotera (Kindai) and Alastair Rucklidge (Leeds).

Maths PhD students working in the area of Applied Mathematics are reminded that attendance of this research seminar is a part of your essential PhD training and is compulsory unless your supervisor tells you otherwise.

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