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Used by developers, writers, and creators worldwide.
A golden ratio calculator splits any length into the two parts that satisfy the famous proportion phi, roughly 1.618, where the whole is to the larger part as the larger part is to the smaller. Enter a total length and it returns phi to eight decimal places, the longer and shorter segments, and a check confirming their ratio equals phi. Designers, artists, architects, and photographers use the golden ratio to size layouts, crop images, and proportion typography in a way many find naturally balanced. Students use it to explore where phi comes from, namely the positive root of x squared equals x plus one, and how it links to the Fibonacci sequence. Because the math is exact, you can trust the segments to divide your length precisely. Use it to lay out a grid, design a logo, or simply see phi in action with your own numbers.
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How to use
- Choose your options above
- Click Generate
- Copy your result
Detailed instructions
- Enter the total length you want to divide.
- Click Generate to split it by the golden ratio.
- Read the longer and shorter segments.
- Use the check line to confirm the proportion.
Use Cases
- •Splitting a layout width into balanced columns
- •Cropping an image to golden proportions
- •Sizing typography and spacing in a design
- •Exploring phi and its link to Fibonacci
- •Proportioning a logo or grid by the golden ratio
Tips
- →Phi is roughly 1.618; its inverse is roughly 0.618.
- →Use the longer segment for the dominant design element.
- →Consecutive Fibonacci numbers approximate phi.
- →The same ratio works at any scale you choose.
FAQ
what exactly is the golden ratio
It is the number phi, about 1.618, the positive solution of x squared equals x plus one. A length split so the whole is to the larger part as the larger is to the smaller is divided in the golden ratio.
how is it related to Fibonacci
The ratio of consecutive Fibonacci numbers gets closer and closer to phi as the numbers grow. So 8 over 5, then 13 over 8, then 21 over 13 each approximate the golden ratio more tightly.
is the golden ratio truly everywhere in nature
It appears in some plants and spirals, but many popular claims are exaggerated. Treat this as a useful design heuristic and an educational tool, not a universal law of beauty or nature.
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