### Nets of lines with the combinatorics of the square grid and with touching inscribed conics. (arXiv:1911.08477v1 [math.AG])

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 conics. The inscribed conics of two combinatorially neighbouring quadrilaterals have the same touching point on their common edge-line. We suggest that these nets are a natural projective generalisation of incircular…