Origami Paper Size Calculator
Starting square size from target model dimensions.
About this calculator
Working backward from a target finished size to the starting square of paper is one of the trickiest parts of origami design, and this calculator uses an empirically-derived multiplier to do it: paper size equals the model's largest dimension (the greater of height and width) times a complexity factor, times a layer-count adjustment. The complexity factor ranges from 2.5× for simple models like a crane or boat up to 7.0× for super-complex figures such as an Ancient Dragon, reflecting how much more paper gets folded away into detail (legs, spikes, extra points) as designs get more intricate. On top of that, a layer penalty adds roughly 1% more paper for every layer beyond a baseline of 4, since models with many overlapping layers at their thickest point consume additional paper relative to their finished size.
The raw minimum is then rounded up to the nearest standard commercial origami paper size (from a list running 7.5cm through 100cm), which is the practical, buyable number — the "minimum paper size" output is the theoretical floor, while "recommended standard size" is what you'd actually purchase or cut. Because the complexity factors are averages drawn from typical models at each tier rather than a formula tied to this specific design's crease pattern, treat the result as a solid starting estimate: an unusually elaborate design within a complexity tier (extra-long legs, deep pleating) may still need paper larger than what this calculator suggests, so it's worth erring generous, especially the first time you fold a new model.
Inputs
Results
Minimum paper size (cm)
26
Recommended standard size (cm)
30
How to Use This Calculator
- Enter the desired finished height of the origami model in centimeters.
- Enter the desired finished width or wingspan of the model in centimeters.
- Select the complexity level: 1 for simple models (crane, boat), 2 for intermediate, 3 for complex, 4 for super-complex.
- Estimate the maximum number of overlapping paper layers at the thickest point.
- Read the minimum paper size in centimeters and the nearest standard origami paper size to buy or cut.
- Use the layer penalty percentage to understand how much extra paper the layering consumes.
How the result changes with Target model height (cm)
| Target model height (cm) | Minimum paper size (cm) | Recommended standard size (cm) |
|---|---|---|
| 5 | 26 | 30 |
| 7.5 | 26 | 30 |
| 15 | 39 | 40 |
| 25 | 65 | 70 |
What each input means
- Target model height (cm)
- Desired finished height of the origami model in centimeters.
- Target model width (cm)
- Desired finished width/wingspan of the origami model in centimeters.
- Complexity level (1-4)
- 1 = Simple (crane/boat), 2 = Intermediate (lily/frog), 3 = Complex (dragon), 4 = Super-complex (ancient dragon).
- Max layers at thickest point
- Number of paper layers at the thickest part of the model. Simple models ~4-8, complex ~16-60+.
What each result means
- Minimum paper size (cm)
- Calculated minimum square side length needed.
- Recommended standard size (cm)
- Nearest standard origami paper size that meets the minimum.
- Recommended size (inches)
- Recommended paper size converted to inches.
- Paper area (cm²)
- Total area of the recommended square paper.
- Complexity multiplier
- Ratio of paper size to model size for this complexity level.
- Layer penalty (%)
- Extra paper percentage needed due to thick layering.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersTarget model height (cm) = 10, Target model width (cm) = 10, Complexity level (1-4) = 1, Max layers at thickest point = 8 = 4 input(s) provided
- Calculate Minimum paper sizeMinimum paper size = modelMax * factor * (1 + layerPenalty)26 = 26
- Calculate Recommended standard size30 = 30
- Calculate Recommended sizeRecommended size = recommendedSize / 2.5411.8 = 11.8
- Calculate Paper areaPaper area = recommendedSize * recommendedSize900 = 900
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the calculator round up to a 'standard' paper size instead of just giving the exact minimum?
The raw minPaperSize output is the theoretical floor from the formula, but origami paper is sold in fixed sizes, so recommendedSize snaps up to the nearest value in a standard list (7.5cm through 100cm) that's actually available to buy or cut cleanly. If your minimum happens to fall between two standard sizes, you'll see recommendedSize as noticeably larger than minPaperSize — that gap is just headroom from buying real paper rather than a custom cut.
How much does the layer penalty actually add to the final size?
It adds roughly 1% extra paper for every layer beyond a baseline of 4, so a model with 8 layers adds about 4% to the minimum size while one with 50 layers adds about 46%. This reflects that models with many overlapping layers at their thickest point consume more paper relative to their finished dimensions than a simple, thin-layered model of the same size.
Why does it use the larger of height and width instead of considering both dimensions?
Origami models are typically folded from a single square sheet, and the limiting factor for how big a finished model can be is whichever dimension is largest — a tall, narrow model still needs paper sized to its height even though its width is small. Using modelMax (the greater of height and width) times the complexity factor gives the minimum square that can accommodate the model's biggest extent in any direction.
What if my model doesn't fit neatly into one of the four complexity tiers?
Pick whichever tier your model most resembles in terms of point count and layering complexity — the factors (2.5× for simple up to 7.0× for super-complex) are averages across typical models at each tier, not a formula tied to your design's specific crease pattern. If your model has unusually long legs, deep pleating, or other extras beyond what's typical for its tier, it's safer to round up to the next complexity level or add extra margin than to trust the exact number.
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