Hobbies · Jigsaw puzzles
Jigsaw puzzle table size calculator.
Enter the finished size printed on the box and the calculator gives the area you need to lay every piece flat in one layer. It uses a published result: the loose pieces take up the finished area times the square root of 3, about 1.73 times, whatever the piece count. Example: a Buffalo Games 1000-piece puzzle finishes at 26.75 × 19.75 in (528 sq in), so laying out every piece needs about 915 sq in, a 30 × 30 in square.
Your numbers
Result
Working out the result.
How the table size is calculated
Bonsma-Fisher and Bonsma-Fisher (arXiv:2312.04588) treat each piece as a square whose area is the finished area divided by the piece count, then as a circle drawn around that square, because loose pieces lie at random angles. Circles packed on a hexagonal lattice give a laid-out area of N times (Ah / 3), which simplifies to As = √3 × Aa, about 1.73 times the finished area. The piece count cancels out: fewer, larger pieces leave bigger gaps but there are fewer of them. The authors say the assembler needs “a surface slightly less than twice” the finished area to lay the pieces flat.
This page applies that formula to the width and depth you enter. It also shows a rectangle with the same shape as the puzzle and sides 31/4 (1.316) times longer, and the side of a square with the same area. Your table passes when its area is at least the laid-out area. The check ignores shape, so a long thin table of the right area can still be awkward.
Worked examples with real numbers
- The paper's 1008-piece puzzle. It finished at 50.2 × 69.0 cm = 3,463.8 cm². The formula predicts 5,999.5 cm² of loose pieces. The authors laid their pieces out in an oval measuring 83.0 × 85.0 cm, which is π/4 × 83.0 × 85.0 = 5,541 cm², 8% under the prediction.
- Buffalo Games, 1000 pieces. The maker lists 26.75 × 19.75 in = 528.3 sq in. Times 1.732 is 915.1 sq in (about 5,904 cm²): a 30.3 in square, or a 35.2 × 26.0 in rectangle shaped like the puzzle.
- Galison, 1000 pieces, against Galison's own advice. Galison lists 27 × 20 in (540 sq in), so the formula gives 935 sq in. Its guidance for a first 1000-piece puzzle is a surface of at least 24 × 36 in, which is 864 sq in, 7.6% less than the formula. That surface holds the finished puzzle comfortably, but not every piece in a single layer.
- Same area, different piece counts. A 500-piece and a 2000-piece puzzle of equal finished area need the same laid-out area under this formula. In the paper's own measurements the 500-piece layout came to 1.03 times the formula and the 2000-piece layout to 1.08 times.
The authors' nine measured puzzles
Table 1 of the paper lists assembled and laid-out dimensions. Areas below are worked out from those dimensions (ovals as π/4 × length × width, the last two rows as rectangles, as the paper does).
| Pieces | Finished area (cm²) | Formula, √3 × finished (cm²) | Measured layout (cm²) | Measured / formula |
|---|---|---|---|---|
| 9 | 333.8 | 578.2 | 474.0 | 0.82 |
| 27 | 4,333.3 | 7,505.5 | 7,745.9 | 1.03 |
| 252 | 915.0 | 1,584.9 | 1,643.4 | 1.04 |
| 500 | 2,585.7 | 4,478.6 | 4,605.8 | 1.03 |
| 1000 (rectangle layout) | 3,479.8 | 6,027.2 | 7,728.0 | 1.28 |
| 1000 (rectangle layout) | 3,276.9 | 5,675.8 | 7,613.0 | 1.34 |
| 1008 | 3,463.8 | 5,999.5 | 5,541.0 | 0.92 |
| 1026 | 3,315.4 | 5,742.5 | 5,999.2 | 1.04 |
| 2000 | 6,798.3 | 11,774.9 | 12,665.4 | 1.08 |
Six of the nine layouts land within 10% of the formula. The two rectangular 1000-piece layouts took 28% and 34% more area; our reading is that a tidy rectangle leaves more gaps than the loose oval the model assumes, so treat the formula as the tight end of what people actually use.
Finished sizes by piece count (inches, as listed by the maker)
| Pieces | Buffalo Games | White Mountain | Galison |
|---|---|---|---|
| 300 | 21.25 × 15 | 24 × 18 | — |
| 500 | 21.25 × 15 | — | 20 × 20 (square format) |
| 750 | 24 × 18 | — | — |
| 1000 | 26.75 × 19.75 | 30 × 24 | 27 × 20 |
| 1500 | 31.5 × 23.5 or 38.5 × 26.5 | — | — |
| 2000 | 38.5 × 26.5 | — | — |
What this calculator leaves out
It models loose pieces in a single flat layer and nothing else. It does not add room for the box lid, sorting trays, a reference photo, your elbows or a drink, and it does not cover a table where you sort edge pieces first and assemble in sections, which can work on far less area. Odd shapes, tiny pieces and 3D puzzles were not measured. Sizes come from the maker's listing for one product, so a different range from the same maker can differ.
Common mix-ups
-
Often assumedA puzzle with more pieces needs a much bigger table than one with fewer pieces of the same finished size.
What the source saysThe authors find the laid-out area is the square root of 3 times the finished area, “independent of the number of pieces.” Smaller pieces mean smaller gaps, and the two effects cancel. [1]
-
Often assumedA table the size of the finished puzzle is enough.
What the source saysLoose pieces take more room than the finished picture: the paper puts it at about 1.73 times the finished area, and says you need a surface “slightly less than twice” that area to lay every piece flat. [1]
-
Often assumedEvery 1000-piece puzzle finishes at the same size.
What the source saysMakers differ. Buffalo Games lists 26.75 × 19.75 in, Galison 27 × 20 in and White Mountain 30 × 24 in for their 1000-piece puzzles, so the table you need differs too. [2] [3] [4]
- Bonsma-Fisher and Bonsma-Fisher, “How big a table do you need for your jigsaw puzzle?” (arXiv:2312.04588, 5 Dec 2023)
- Buffalo Games jigsaw collections (300 to 2000 pieces): finished size on each product listing
- Galison 1000 and 500 piece collections: puzzle size on each product listing
- White Mountain Puzzles 300 and 1000 piece collections: finished size on each product listing
Checked against these sources on .
Frequently asked questions
How big a table do I need for a 1000-piece puzzle?
To lay every piece flat in one layer, about 1.73 times the finished area. For a 26.75 x 19.75 in puzzle that is about 915 sq in, a 30 x 30 in square or a 35 x 26 in rectangle. Galison suggests at least 24 x 36 in (864 sq in) for a first 1000-piece puzzle, which is a little under that figure.
How big is a 1000-piece puzzle once it is finished?
It depends on the maker. Buffalo Games lists 26.75 x 19.75 in, Galison 27 x 20 in and White Mountain 30 x 24 in. The finished area runs from 528 to 720 sq in across those three.
Why does the piece count not matter?
The paper models each piece as a square inside a circle. With more pieces each circle is smaller, so the gaps are smaller, but there are more circles. The two cancel exactly, leaving the square root of 3 times the finished area.
Do I really need all the pieces on the table at once?
No. Many people sort edge pieces and colours into trays and work one section at a time, which takes less room. The formula answers a narrower question: how much flat area holds every loose piece in a single layer, the setup the authors call ideal.
How accurate is the square root of 3 rule?
In the authors' nine measurements, six laid-out areas were within 10% of the formula, with ratios from 0.82 to 1.08, and two rectangular 1000-piece layouts came to 1.28 and 1.34 times the formula. It is a planning figure, not a guarantee.
Does it work in centimetres?
Yes. Switch the units box and the sizes, areas and table check are shown in centimetres and square centimetres. The paper's own measurements were in centimetres.
Sources
Retrieved
- Bonsma-Fisher and Bonsma-Fisher, arXiv:2312.04588 — the square root of 3 area formula, the model, and Table 1 of nine measured puzzles (read 2026-10-26)
- Buffalo Games collections (300 to 2000 pieces) — finished sizes printed on each listing (read 2026-10-26)
- White Mountain Puzzles collections — finished sizes for 300 and 1000 piece puzzles (read 2026-10-26)
- Galison 1000 piece collection — puzzle size listed as 20 x 27 in (read 2026-10-26)
- Galison: What Size Jigsaw Puzzle Should I Buy? — at least 24 x 36 in for a first 1000-piece puzzle and 30 x 40 in for 1500 to 2000 pieces (read 2026-10-26)
A planning estimate from one published model
Based on a 2023 arXiv preprint, plus sizes copied from maker pages on 26 October 2026. Your puzzle box is the authority on its own finished size. Nothing you type is sent or stored.