Hurwitz's theorem — where it appears
The claim that survives
Of the three famous assertions about this subject, one is out by a factor of two, one is true of a branch rather than of plants, and one is right — in a sharper form than the version usually told, and about arithmetic rather than about packing.
The most irrational is not the most disordered
If rational angles make ordered tissue, the most badly approximable angle should make the most disordered — which would at last give the golden angle a criterion it wins. Swept across the interval it is the most irrational point of, μ₂ peaks at 138.42° and the golden angle sits unremarkably in the middle.
Named alongside it
The objects these essays reach for when they reach for this one.
Continued fractionConvergentsDivergence angleNoble numberRational approximationApproximationBranchClaim testingDisorderFalsifiabilityFibonacciGolden angle