“…Aside from the context described here, this map appears in a natural way in problems related to dynamics of mapping classes [84], Fuchsian groups [20], number theory [19], Painlevé sixth equations [31,102], the Ising model for quasicrystals [15,90,174,175], the Fibonacci quantum walk [153,154], among others [7,64,166,176]. See [30] or [17] for an algebraic explanation of this universality. We refer the reader also to [97,155,156] for further reading on the Fibonacci trace map.…”