The coefficient map of rational power series with matrix coefficients over finite fields is self-similar as a colored tiling of R^n.
Lucas, Sur les congruences des nombres eul\'eriens et les coefficients diff\'erentiels des functions trigonom\'etriques suivant un module premier, Bull
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On the self-similarity of rational power series with matrix coefficients
The coefficient map of rational power series with matrix coefficients over finite fields is self-similar as a colored tiling of R^n.