How to Play Tangram

By Jaques of London · Est. 1795 · Updated 2026-08-17

Tangram is a dissection puzzle for one player built from seven flat geometric pieces called tans. The set is cut from a single square and the challenge is to rearrange all seven pieces to match a target silhouette, which might depict a person, an animal, a boat, a letter, or an abstract shape. The pieces must lie flat, touch without overlapping, and every single one must be used.

People love it because the rules are brutally simple yet the puzzle resists brute force. A shape that looks straightforward can take many minutes to crack, while an apparently complex silhouette sometimes falls into place quickly. It works equally well at a kitchen table, in a classroom, or packed into a travel bag, and because it is silent and self-contained it suits a wide range of ages and settings.

A little history

Tangram is traditionally described as Chinese in origin, and its origins are unclear beyond that broad attribution. The earliest firmly dated printed puzzle books appear in China around the early nineteenth century, and the puzzle reached Europe and North America during roughly the same period, where it attracted wide popular interest. Claims that it is thousands of years old are not supported by documented evidence. The name itself has no agreed etymology, and scholars have not settled on where or how the word arose.

Setting up

1. Place all seven tans on a flat, well-lit surface in front of you.
2. Select one target silhouette from your puzzle book or silhouette cards.
3. Keep the silhouette visible but set it to one side so you can reference it freely.
4. Confirm that all seven pieces are present before you begin.

How to play

1. Study the target silhouette. Note its overall proportions and any obvious sub-shapes within it.
2. Arrange the seven tans on the surface, attempting to reproduce the silhouette exactly. All seven pieces must be used.
3. Pieces may be slid, rotated freely through any angle, and flipped over unless the specific puzzle or puzzle book states that flipping the parallelogram is not permitted.
4. No piece may overlap another piece, even partially.
5. The assembled pieces must fill the silhouette outline completely, with no gaps and no piece extending outside the outline.
6. If you are stuck, set the puzzle aside and return to it rather than restarting at random. Systematic rotation of one piece at a time through its possible positions is more efficient than wholesale reshuffling.
7. Once all seven pieces sit flat within the outline with no overlaps and no gaps, the puzzle is solved.
8. Move to the next silhouette and repeat. There is no time limit unless you choose to impose one.

Winning and scoring

There is no scoring in the traditional single-player form of the game. A puzzle is simply solved or unsolved. In a self-competitive session, some players record how many puzzles from a set they can solve in a fixed period, or track how long each individual puzzle takes, then try to improve their own benchmarks over successive sessions.

The fine points

The most common dispute concerns the parallelogram. Unlike the other six pieces, it cannot be flipped to produce its mirror image by rotation alone. Many published silhouette books require the flip; others prohibit it. Check your puzzle source before you start, and apply whichever rule that source uses consistently throughout a session. If your puzzle source is silent on the point, the conventional open rule is that flipping is permitted.

A subtler issue arises when two pieces share an edge exactly and it is not immediately obvious whether they are truly flush or fractionally misaligned. Always check alignment with the target outline, not by eye alone between pieces. If a solution looks right but leaves the tiniest gap or protrusion against the silhouette card, it is not a valid solution. Some silhouettes have more than one valid solution; if you find a second arrangement that genuinely fits, it counts equally.

How to win more often

• Identify the largest triangles first. The two large triangles account for half the total area of the square, so their placement usually determines the overall framework of the shape.
• Look for pointed extremities in the silhouette such as feet, beaks, or corners. These almost always signal a triangle tip, which narrows down which piece fits there immediately.
• Rotate the parallelogram systematically before moving other pieces. It is the most awkward piece and the most likely source of a failed attempt, so resolving its position early saves time.
• When stuck, try treating two pieces as a temporary combined unit. The medium triangle and a small triangle together form the same shape as one large triangle, and swapping between these combinations often unlocks a blockage.
• Work from the silhouette outward rather than placing pieces at random in the middle. Matching edges to the perimeter of the outline first reduces the number of interior arrangements you need to test.

Variations

Timed Challenge

Set a countdown timer, typically two or three minutes per puzzle, and attempt to solve as many silhouettes as possible before time runs out. This adds pressure and makes for a useful solo drill or a direct head-to-head contest when two players each have their own tangram set and race to solve matching silhouettes simultaneously.

Silhouette-Free Freestyle

No target silhouette is used. The player arranges all seven pieces freely to create a recognisable figure of their own invention, then challenges another person to identify what it depicts. This works well as a creative activity for younger children and removes the constraint of matching a fixed outline.

Restricted Flip

The parallelogram may not be flipped during the session. This is a stricter interpretation used in some puzzle books and increases the difficulty of any silhouette that would otherwise rely on the mirrored orientation. It is worth stating clearly at the start of a session so there is no ambiguity later.

Two-Piece Exclusion

A harder variant in which the puzzle card specifies two pieces that must not be used, and the remaining five must form the silhouette exactly. This requires a different set of purpose-designed silhouettes but makes an accessible step up in difficulty for players who have mastered the standard seven-piece format.

Tangram: frequently asked questions