4 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…
Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences
Alexander I. Bobenko, Alexander Y. Fairley
The focus is on circular nets with one or two families of spherical parameter lines, which are treated in Möbius geometry. These circular nets provide a discretisation of surfaces…
Nets of lines with the combinatorics of the square grid and with touching inscribed conics
Alexander I. Bobenko, Alexander Y. Fairley
In the projective plane, we consider congruences of straight lines with the combinatorics of the square grid and with all elementary quadrilaterals possessing touching inscribed co…