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math-ph2026
Möbius Invariant Dimers and Miquel Dynamics
Niklas C. Affolter, Luis Mühlhoff
As is already known, there is a correspondence between circle patterns and the dimer model, which is invariant under Euclidean transformations. We establish a new correspondence th…
math-ph2024
Principal binets
Niklas Christoph Affolter, Jan Techter
Conjugate line parametrizations of surfaces were first discretized almost a century ago as quad meshes with planar faces. With the recent development of discrete differential geome…
math-ph2023★ 1 cited
Möbius invariant Y-systems (cluster structures) for Miquel dynamics
Niklas Christoph Affolter
Miquel dynamics is a discrete time dynamics for circle patterns, which relies on Miquel's six circle theorem. Previous work shows that the evolution of the circle centers satisfy t…