Golden ratio

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The golden ratio $\varphi$ is the irrational algebraic number $$\varphi = \dfrac{1+\sqrt{5}}{2}.$$

Properties

Relationship between sine, imaginary number, logarithm, and the golden ratio Relationship between cosine, imaginary number, logarithm, and the golden ratio

Videos

The Golden Ratio & Fibonacci Numbers: Fact versus Fiction

References

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