Golden Ratio Dimension
Calculator
Results
- Longer side
- 1,618.033988
- Shorter side
- 618.033988
- Golden ratio φ
- 1.618033
- Major section
- 618.033988
- Minor section
- 381.966011
Design and print results
| Longer side | 1,618.033988 |
| Shorter side | 618.033988 |
| Golden ratio φ | 1.618033 |
| Major section | 618.033988 |
| Minor section | 381.966011 |
formula-map diagram
- Longer side
- 1,618.033988
- Shorter side
- 618.033988
- Golden ratio φ
- 1.618033
- Major section
- 618.033988
- Minor section
- 381.966011
Formula breakdown
Formula
φ = (1 + √5) ÷ 2; longer = side × φ, shorter = side ÷ φ= 1618.0339887499
Note
Simplified model: these are standard prepress and typographic relationships computed on nominal values. Real press bulk, paper caliper and shrinkage, ink limits for a given profile, font metrics and binding allowances vary by supplier and by job, so confirm with your printer and a proof before going to press.
More in Design and printing
See all →Frequently asked questions
What is the golden ratio, and what number does this calculator use?+
The golden ratio is approximately 1.618, a proportion long associated with visually pleasing composition in art, architecture, and design. The calculator multiplies or divides your known dimension by this value to find its golden-ratio counterpart.
How do I use the result — is the longer or shorter side 1.618?+
If you have the shorter side, multiply it by 1.618 to get the longer side; if you have the longer side, divide by 1.618 to get the shorter side. The ratio between them should always equal roughly 1.618:1.
Is the golden ratio scientifically proven to be more attractive?+
No — it's a long-standing design tradition and aesthetic heuristic, not a proven law of perception; rigorous studies on 'golden ratio' preference in faces and layouts have produced mixed and often unconvincing results. Treat it as one useful proportion to try, not a guaranteed formula for beauty.
Where is the golden ratio commonly applied in design?+
Common uses include cropping photos, sizing text columns relative to margins, proportioning logo elements, and laying out page grids, where a 1:1.618 relationship between two measurements can guide a natural-feeling division of space.
Can I apply the golden ratio to more than two dimensions at once?+
Yes, through a golden spiral or repeated subdivision, where each new section relates to the previous one by the same 1.618 factor. This calculator handles the basic two-dimension case; extending it further is a manual repeated application of the same ratio.