Why the golden ratio is the most irrational number
Mathologer · Explainer · YouTube title: Infinite fractions and the most irrational number
Why it's here
Recommended as a clear, visual explanation of continued fractions and why phi is hardest to approximate by fractions.
What it covers
Mathologer uses continued fractions to show why the golden ratio is the most irrational number, comparing it with root 2, e and pi and pointing to where this shows up in nature.