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Golden Ratio
Decimal approximation
1.6180339887498948482045868343656381177203091798057628621354486227...
Alternate form
1/2 (1 + sqrt(5))
1/2 + sqrt(5)/2
Number line
Continued fraction
[1; 1^_]
Alternative representation
ϕ = 2 sin(54 °)
ϕ = -2 sin(666 °)
ϕ = 2 cos(π/5)