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math.golden-ratio-applications Calculator
Calculates the golden ratio (φ = 1.618…) from a line divided in golden proportion, and applies it to design dimensions and spiral growth. The golden ratio appears in regular pentagons, the Fibonacci sequence, and is argued (controversially) to be aesthetically optimal in art and architecture.
Inputs
A
Reference formula or conversion factor shown for context.
B
Reference formula or conversion factor shown for context.
N
Reference formula or conversion factor shown for context.
Results
a/b ratio
The proportional relationship between two quantities.
golden ratio phi
The proportional relationship between two quantities.
deviation from phi
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).
golden rectangle
The computed angle in degrees or radians.
golden angle (deg)
The computed angle in degrees or radians.
phi in nature
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).