4 papers
On Chasles' Quadrilateral Theorem
Leah Wrenn Berman, Jürgen Richter-Gebert
Chasles' Quadrilateral Theorem is a classical statement about four tangents to a conic that simultaneously circumscribe a circle. In its various formulations, it relates the concur…
Polycyclic Geometric Realizations of the Gray Configuration
Leah Wrenn Berman, Gábor Gévay, Tomaž Pisanski
The Gray configuration is a (27_3) configuration which typically is realized as the points and lines of the 3 x 3 x 3 integer lattice. It occurs as a member of an infinite family o…
Explicit Constructions for Poncelet Polygons
Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert +1
We study the geometric structure of Poncelet -gons from a projective point of view. In particular we present explicit constructions of Poncelet -gons for certain and deri…
When Grünbaum meets Poncelet -- Infinite Classes of Movable Configurations
Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert +1
We study relations between incidence configurations and the classical Poncelet Porism. Poncelet's result studies two conics and a sequence of points and lines that inscribe…