This entry refers to a series of articles jointly written by Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert and Serge Tabachnikov about surprising connections of Poncelet's Porism on polygons and conics and (n4)-configurations. We show that a large class of configurations exhibit a non-trivial movement via Poncelets Theorem. We provide constructions, algebraic characterisations and a general theorem that ensures movability for a wide range of (n4)-configurations. You can access the animations here.
The articles are:
"When Grünbaum meets Poncelet -- Infinite Classes of Movable n4 Configurations"
"Explicit Constructions for Poncelet Polygons"
This entry refers to an articles jointly written by Aaron Montag, Tim Reinhardt and Jürgen Richter-Gebert about the possibility to transfer Euclidean ornamental patterns to hyperbolic (Cicle-Limit like) symmetric patterns. We discuss the geometry and combinatorics of the problem and also present a GPU based algorithm that performs the transofmration. At the same time this algorithm is extremely simple to implement and provides smooth and fluid transitions from one combinatorial type to another. You can access the animations here.
The articles is:
"The Smooth Power of the Neandertal Method"