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sci.Fibonacci-golden-ratio Calculator
Calculates consecutive Fibonacci number ratios converging to the golden ratio φ = (1+√5)/2 ≈ 1.6180339887... The ratio F(n+1)/F(n) converges to φ within 0.01% by n=8 (13/8 = 1.625) — φ appears in phyllotaxis, quasicrystals, and the aesthetics of art and architecture.
Inputs
N Terms
Count of items or occurrences.
Results
F(n) / F(n-1) ratio
The proportional relationship between two quantities.
golden ratio φ = (1+√5)/2
The proportional relationship between two quantities.
error |ratio − φ|
The difference between the computed result and the exact or true value — a measure of approximation accuracy.