This is a book on symplectic topology, a rapidly developing field of mathematics which
originated as a geometric tool for problems of classical mechanics. Since the 1980s …

The centers of circumscribed and inscribed circles to the triangles that are the 3-periodic
orbits of an elliptic billiard are ellipses. In this article, we obtain the canonical equations of …

Mathematicians delight in finding surprising connections between seemingly disparate
areas of mathematics. Whole domains of modern mathematics have arisen from exploration …

The goal of this paper is an analysis of the geometry of billiards in ellipses, based on
properties of confocal central conics. The extended sides of the billiards meet at points …

There has been considerable recent literature connecting Poncelet's theorem to ellipses,
Blaschke products and numerical ranges, summarized, for example, in the recent book [16] …

For billiards in an ellipse e with an ellipse as caustic, there exist canonical coordinates on e
such that the billiard transformation from vertex to vertex is equivalent to a shift of …

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 …

We analyze loci of triangle centers over variants of two-well known triangle porisms: the
bicentric and confocal families. Specifically, we evoke the general version of Poncelet's …

In this paper I will establish a special case of a conjecture that intertwines the deep diagonal
pentagram maps and Poncelet polygons. The special case is that of the-diagonal map …

In erster Linie richtet sich dieses Buch an alle, die sich an klassischer Geometrie erfreuen.
Insbesondere ist das Buch gedacht für Lehrende der Sekundarstufe II, für interessierte …