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Are there emergent laws governing the interactions of chiral building blocks subject to constraints in space and time? I’ll explore these questions in a crowded 2D space using the sphinx tile — a simple, non-symmetrical shape composed of six triangles which possesses some unique and minimal properties. It comes in left-handed and right-handed enantiomers, and I’ll explore this toy model under spatial forcing, so that it creates various types of order, including crystalline, quasicrystalline, mixed, and fully disordered states. A succession of exact methods are devised to find these states. For large systems, the numbers of configurations become so large that statistical mechanics holds and thermodynamic quantities can be calculated. A Monte Carlo method based on fundamental shapes (“f-polyads”) has been developed to sample typical states. These explorations into chirality raise a number of new mysteries which will be discussed. Teams: Join the meeting now Meeting ID: 235 776 838 966 Passcode: 57Z4iQ23 Host: Chris Fryer (CNLS) |