3 citations · 13 across the 27 of their papers we have counts for
28 papers · 1 filter
On the Enumerative Geometry of Pascal's Hexagram
Jaydeep Chipalkatti
Given six points on a nonsingular conic in the complex projective plane, Pascal's theorem says that the three intersection points …
Degenerations of Pascal Lines
Jaydeep Chipalkatti, Sergio Da Silva
Let denote a nonsingular conic in the complex projective plane. Pascal's theorem says that, given six distinct points on , the three inters…
Absolute Projectivities in Pascal's Multimysticum
Jaydeep Chipalkatti, Alex Ryba
The Pascal Multimysticum is a system of points and lines constructed with a straight edge starting from six points on a conic. We show that the system contains 150 infinite ranges…
On the dynamics of the Pappus-Steiner map
Jaydeep Chipalkatti, Attila Dénes
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…
On the reconstruction problem for Pascal lines
Abdelmalek Abdesselam, Jaydeep Chipalkatti
Given a sextuple of distinct points on a conic, arranged into an array , Pascal's theorem says t…
On the geometry of the ricochet locus
Jaydeep Chipalkatti
This paper is a study of the so-called `ricochet configuration' (or -configuration) which arises in the context of Pascal's theorem. We give a geometric proof of the fact that a…