A particular model of calculator expresses a certain ratio in terms of pi. Presented in the modern omg!mysteries! way, but to their credit does take a stab at analysis. Hadn't heard the term 'mediant' before, so that was actually kind of enlightening.
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[ 4.8 ms ] story [ 17.3 ms ] threadThe interesting bit in more concentrated form https://en.m.wikipedia.org/wiki/Mediant_(mathematics)