CALCULATOR
Golden Ratio Longer Segment Calculator
golden ratio. Example: Whole: 2 m gives 1.2360679775 m. Divide a positive total length into golden-ratio parts; outputs longer segment only. No aesthetic, construction or optimal-layout recommendation. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculat
Divide a positive total length into golden-ratio parts; outputs longer segment only. No aesthetic, construction or optimal-layout recommendation. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation. Derivation: Solve positive ratio φ²=φ+1; whole divided by φ yields longer part.
Accepted inputs: Whole: 0.001 to 1,000 m.
How the calculation works
long segment = whole/φ, φ=(1+√5)/2
Worked example
With whole 2 m, golden ratio is 1.236067977 m.
Assumptions and limits
Divide a positive total length into golden-ratio parts; outputs longer segment only. No aesthetic, construction or optimal-layout recommendation. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation. Derivation: Solve positive ratio φ²=φ+1; whole divided by φ yields longer part.