A group theoretic interpretation of Poncelet's theorem - Albrecht Hess, Daniel Perrin, and Mehdi Trense Poncelet's theorem about polygons that are inscribed in a conic and at the same time circumscribe another one has a greater companion, in which the second conic is substituted by possibly different conics for different sides of the polygon, while all conics belong to a fixed pencil. Here, a construction is presented that gives a visual group theoretic interpretation of both theorems and, eventually, leads to a generalization exposing the role of commutativity in Poncelet's theorem. There is no new thing about the ingredients but we hope that a dynamical view sheds new light on them. Finally, the occurrence of conics in a Poncelet grid [14] of lines constructed on a pencil of circles is explained with a simple proof. ✪ ✪ ✪ ✪ ✪ Hidden Content: **Hidden Content: Content of this hidden block can only be seen by members of (usergroups: V.I.P Downloader).** Theo LTTK Education
