Origami Base Size Calculator
The origami base size calculator helps paper folders determine what starting paper size they need to achieve a desired finished model height. The relationship between starting paper size and finished model size depends on the origami base type: denser bases (like the frog base) collapse more paper and produce a smaller model relative to the original sheet. By selecting your base type and entering the desired finished model height, this tool calculates the required square paper size in centimetres and inches, so you can cut or purchase the correct sheet before you start folding.
Origami size formula
Required paper size (cm) = Desired finished height (cm) / Base ratio
Base ratio = Finished model height / Starting paper size (empirical)
Example: Crane 10 cm tall, bird base (ratio 0.35)
Paper size = 10 / 0.35 = 28.57 cm (round up to 30 cm)
Frequently asked questions
How does the starting paper size relate to the finished origami model?
Each origami base uses a different fraction of the starting paper in the final model. For a bird base, the finished model is roughly 25 to 35% of the diagonal paper size. For a waterbomb base, approximately 30 to 40%. This calculator uses empirical multipliers derived from common origami bases to estimate the required paper size.
What is a bird base in origami?
The bird base is one of the fundamental origami bases used to create many traditional models including the crane. Starting from a square sheet, it produces a shape with four narrow points. The crane's body height is approximately 30% of the starting paper's size. To fold a crane 10 cm tall, you need approximately a 33 cm square.
What is the best paper size for beginner origami?
Most beginner models work well with 15 x 15 cm (6 x 6 inch) paper. Larger paper (20 to 25 cm) is easier to handle for complex models. Traditional origami paper (kami) comes in 15 cm squares. Foil paper is better for advanced models that need to hold sharp creases.
Do all origami bases start from a square?
Most traditional origami bases (bird base, fish base, waterbomb base, preliminary base, frog base) start from a square. Some models use rectangles (like a dollar bill fold), and modular origami uses many smaller sheets. This calculator is designed for square paper bases.
How accurate are origami size estimates?
Origami size ratios are approximate because the exact final size depends on individual folding tightness, paper thickness, and the specific model design. Use this calculator as a starting guide and test with a practice sheet before using fine paper. More complex models (more collapse steps) will produce a smaller finished model relative to paper size.
Sources
- OrigamiUSA: OrigamiUSA - The Fold: Origami Theory and Techniques.
- Smithsonian Institution: Smithsonian - Paper Arts in American Culture.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.