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math.DS2022★ 3 cited
The Schwarzian octahedron recurrence (dSKP equation) II: geometric systems
Niklas Christoph Affolter, Béatrice de Tilière, Paul Melotti
We consider nine geometric systems: Miquel dynamics, P-nets, integrable cross-ratio maps, discrete holomorphic functions, orthogonal circle patterns, polygon recutting, circle inte…
math.DS2018
Miquel Dynamics, Clifford Lattices and the Dimer Model
Niklas C. Affolter
Miquel dynamics were introduced by Ramassamy as a discrete time evolution of square grid circle patterns on the torus. In each time step every second circle in the pattern is repla…