2 papers
math.CO2012
The Ammann-Beenker tilings revisited
Nicolas Bédaride, Thomas Fernique
This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclide…
math.DS2011
Periodic billiard trajectories in polyhedra
Nicolas Bedaride
We consider the billiard map inside a polyhedron. We give a condition for the stability of the periodic trajectories. We apply this result to the case of the tetrahedron. We deduce…