Hacker News Reader

The golden ratio is the most irrational number: https://www.youtube.com/watch?v=CaasbfdJdJg

This is why it creates some distinctive patterns when applied to circular/spiral shapes.

It's the fraction that converges the "slowest", in a sense. (It's the continued fraction of all 1's.)

It might converge more slowly than any other simple continued fraction, but there are some super-slow to converge generalized continued fractions. A couple of examples that are slower than phi: https://en.wikipedia.org/wiki/Approximations_of_%CF%80#Conti...

Reply on news.ycombinator.com