How Seven Paper Pieces Became a Whole World

The essential thing about a tangram was not owning a polished wooden set, but obtaining its seven shapes. A square cut from a cigarette packet, cake box or the stiff cover of an exercise book could be divided into two large triangles, one medium triangle, two small triangles, a square and a parallelogram. Materials and drawing methods varied by place, but the rule remained: use every piece and do not overlap them.

A child could copy an outline of a cat, boat or running figure, invent a shape for friends to identify, then scatter the pieces and challenge someone to rebuild it. Unlike a paper toy exhausted by one use, the same little packet could begin again indefinitely. Speed mattered less than seeing how a whole might be divided into diagonals, corners and gaps. Even a quiet tabletop could become competitive: spotting that the parallelogram needed to be turned over might suddenly make the entire figure intelligible.

Surviving nineteenth-century sets show that the Chinese puzzle had already travelled overseas. In ordinary Chinese households of the 1960s and 1970s, however, its more immediate value was simpler: almost cost-free materials could retain a great capacity for change. Scarcity alone did not create imagination. What mattered was a stable, manageable rule that allowed a few things to be rearranged again and again.

https://americanhistory.si.edu/collections/object/nmah_694581
https://chinesepuzzles.org/en/tangram-puzzle/