On some operators acting on line arrangements and their dynamics
X Roulleau - arXiv preprint arXiv:2306.01053, 2023 - arxiv.org
We study some natural operators acting on configurations of points and lines in the plane
and remark that many interesting configurations are fixed points for these operators. We …
and remark that many interesting configurations are fixed points for these operators. We …
Skewers
S Tabachnikov - Arnold Mathematical Journal, 2016 - Springer
The skewer of a pair of skew lines in space is their common perpendicular. To configuration
theorems of plane projective geometry involving points and lines (such as Pappus or …
theorems of plane projective geometry involving points and lines (such as Pappus or …
Projective configuration theorems: old wine into new wineskins
S Tabachnikov - Geometry in History, 2019 - Springer
We survey some recent results concerning projective configuration theorems in the spirit of
the classical theorems of Pappus, Desargues, Pascal,… We hope that this modern take on …
the classical theorems of Pappus, Desargues, Pascal,… We hope that this modern take on …
On the dynamics of the Pappus-Steiner map
J Chipalkatti, A Dénes - arXiv preprint arXiv:1708.04002, 2017 - arxiv.org
We extract a two-dimensional dynamical system from the theorems of Pappus and Steiner in
classical projective geometry. We calculate an explicit formula for this system, and study its …
classical projective geometry. We calculate an explicit formula for this system, and study its …