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    Golden Ratio

    Decimal approximation

    1.6180339887498948482045868343656381177203091798057628621354486227...

    Alternate forms

    1/2 (1 + sqrt(5))

    1/2 + sqrt(5)/2

    Number line

    Number line

    Continued fraction

    [1; 1^_]

    Alternative representations

    ϕ = 2 sin(54 °)

    ϕ = -2 sin(666 °)

    ϕ = 2 cos(π/5)

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