For every positive integer n, we introduce a set T n made of (n + 3)^2 Wang tiles (unit squares with labeled edges). We represent a tiling by translates of these tiles as a configuration Z 2 → T n . A configuration is valid if the common edge of adjacent tiles have the same label. For every n ≥ 1, we show that the Wang shift Ω n defined as the set of valid configurations over the tiles T n is self-similar, aperiodic and minimal for the shift action. We say that {Ω n } n≥1 is a family of metallic mean Wang shifts since the inflation factor of the self-similarity of Ω n is the positive root of the polynomial x 2 -nx -1. This root is sometimes called the n-th metallic mean, and in particular, the golden mean when n = 1 and the silver mean when n = 2. When n = 1, the set of Wang tiles T 1 is equivalent to the Ammann aperiodic set of 16 Wang tiles.