On the Finsler metrics obtained as limits of chessboard structures
  We study the geodesics in a planar chessboard structure with two values 1 and $\beta>1$. The results for a fixed structure allow us to infer the properties of the Finsler metrics obtained, with an homogenization procedure, as limit of oscillating chessboard structures. 
Micol Amar, Graziano Crasta, Annalisa Malusa