Where were animated GIFs when I was learning geometry!
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Animation showing various Hofstadter points. H0 is the Hofstadter zero-point. H1 is the Hofstadter one-point. The little red arc in the center of the triangle is the locus of the Hofstadter r-points for 0 < r < 1. This locus passes through the incenter I of the triangle.
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