Jurgen Richter-Gebert

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20242026

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3 papers · 1 filter

math.CO2026

Manifold-based Proving Methods in Projective Geometry

Michael Martin Katzenberger, Jürgen Richter-Gebert

This article compares different proving methods for projective incidence theorems. In particular, a technique using quadrilateral tilings recently introduced by Sergey Fomin and Pa…

math.CO2024

Explicit Constructions for Poncelet Polygons

Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert +1

We study the geometric structure of Poncelet $n$ -gons from a projective point of view. In particular we present explicit constructions of Poncelet $n$ -gons for certain $n$ and deri…

math.CO2024

When Grünbaum meets Poncelet -- Infinite Classes of Movable $n_{4}$ Configurations

Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert +1

We study relations between $(n_{4})$ incidence configurations and the classical Poncelet Porism. Poncelet's result studies two conics and a sequence of points and lines that inscribe…

Manifold-based Proving Methods in Projective Geometry

Explicit Constructions for Poncelet Polygons

When Grünbaum meets Poncelet -- Infinite Classes of Movable n4​ Configurations

When Grünbaum meets Poncelet -- Infinite Classes of Movable $n_{4}$ Configurations