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Mathematics

The Golden Ratio and Its Surprising Appearances in Mathematics

Quick fact

The golden ratio is the most irrational number: its continued fraction is the slowest to converge, making it the hardest to approximate with fractions.

Why this is interesting

You have likely seen the golden ratio in art and architecture, but the same number silently appears in the most unexpected corners of pure mathematics. Why does one constant keep showing up in so many different places?