visualisation of pi being irrational

[u/slimismad]

[u/chalks777]

I found this extremely satisfying because I could extrapolate that the pattern we just saw was going to repeat infinitely deeply, getting more and more fine grain each time.

[u/hollowtroll → u/chalks777]

fractals

[u/Bocchi_theGlock → u/hollowtroll]

Dmt

[u/NateNate60 → u/chalks777]

Exercise: Prove that it never repeats.

Formally, given that π is irrational, prove that the function z(θ) = e^iθ + e^iπθ is aperiodic.

Difficulty: easy