example 12, "Tiling a Rectangle by Squares" is rather unique; it was discussed in Stanislav Smirnov's Fields medal lecture in 2010

https://en.wikipedia.org/wiki/Squaring_the_square

In his lecture he puts the square tilings in a rather serious context (the theory of electrical networks)

https://arxiv.org/abs/1009.6077 ( Discrete Complex Analysis and Probability )