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math.golden-ratio Calculator
Computes golden-ratio-related quantities: φ itself, its reciprocal (1/φ = φ−1), φⁿ, and Fibonacci approximations. The golden ratio is the only positive number where φ = 1 + 1/φ — a self-referential definition that ties it to continued fractions.
Inputs
N
Reference formula or conversion factor shown for context.
Side
Horizontal extent perpendicular to the length.
Iter
Rate of energy transfer (W). P = V×I (electrical). P = F×v (mechanical). 1 horsepower ≈ 746 W.
Epsilon
Reference formula or conversion factor shown for context.
Results
phi (golden ratio)
The proportional relationship between two quantities.
1/phi
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).
phi^
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).
golden rectangle height (for width
The computed height.
Fibonacci approx F(
Sample size or count used in the calculation.
phi = (1+sqrt5)/2
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).