Golden Ratio Calculator

Phi equals (1 + sqrt(5)) / 2, approximately 1.6180339887. It is an irrational number that appears throughout geometry, art, architecture, and nature. The reciprocal of phi (1/phi) equals phi minus 1, which is 0.6180339887.

If the total length is L, the longer part equals L multiplied by phi divided by (1 + phi), which simplifies to L times 0.6180. The shorter part is L times 0.3820. Their ratio always equals phi regardless of the total length.

They are closely related. The ratio of consecutive Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21...) approaches phi as the numbers increase. By the 10th pair (55/34 = 1.6176), it is already very close to phi. But they are not identical for small numbers.

Designers apply phi to layout grids (content vs sidebar width), typography scales (font sizes in ratio of 1.618), photography composition (placing subjects at golden section points), logo proportions, and spacing systems. Enter your total width or height to get the proportional split.

Phi appears in spiral patterns (nautilus shells, sunflower seed heads), leaf arrangements (phyllotaxis), and branching structures. However, many popular claims about phi in human anatomy or famous buildings are debated or exaggerated by researchers.

Yes, the Golden Ratio Calculator is fully embeddable. Tap "Embed" above to configure appearance and copy the code. It is free to use, works on any platform (HTML, WordPress, CMS), and adjusts to any screen size automatically. Visit calculory.com/services/embed-calculators for the complete guide.