5 papers
Discrete Koenigs nets, inscribed quadrics and autoconjugate curves
Niklas Christoph Affolter, Alexander Yves Fairley
Discrete Koenigs nets are a special class of discrete surfaces that play a fundamental role in discrete differential geometry, in particular in the study of discrete isothermic and…
Discrete Koenigs nets and finite Laplace sequences
Niklas Christoph Affolter, Alexander Yves Fairley
Q-nets are maps from the square grid to projective space that have planar faces. We consider the Laplace sequences of Q-nets, which are determined by iterating a discrete time dyna…
Discrete Lorentz surfaces and s-embeddings II: maximal surfaces
Niklas Christoph Affolter, Felix Dellinger, Christian Müller +2
S-embeddings were introduced by Chelkak as a tool to study the conformal invariance of the thermodynamic limit of the Ising model. Moreover, Chelkak, Laslier and Russkikh introduce…
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…
Discrete Lorentz surfaces and s-embeddings I: isothermic surfaces
Niklas Christoph Affolter, Felix Dellinger, Christian Müller +2
S-embeddings were introduced by Chelkak as a tool to study the conformal invariance of the thermodynamic limit of the Ising model. Moreover, Chelkak, Laslier and Russkikh introduce…