Generalized quasiperiodic Rauzy tilings

We present a geometrical description of new canonical d-dimensional codimen sion one quasiperiodic tilings based, on generalized Fibonacci sequences. T hese tilings are made up of rhombi in 2d and rhombohedra in 3d as the usual Penrose and icosahedral tilings. Thanks to a natural indexing of the sites according to their local environment, we easily write down, for any approx imant, the sites coordinates, the connectivity matrix and we compute the st ructure factor.