I recently became aware of continued fractions, because my friend Randy mentioned that they are a representation of some insane thing in topology that he mentioned offhandedly and which sort of made sense while he was talking but I really could not reconstruct. However, continued fractions are interesting in their own right, and I started working on this post before I saw the Mathologer video on this topic. A continued fraction is a nightmare scenario where the denominator of a fraction conta...
