Tangram

Lore & Background

The tangram is a dissection puzzle composed of seven flat polygons, known as tans, which are arranged to form a specified shape. The puzzle’s objective is to replicate a pattern given only its outline, using all seven pieces without overlap. Alternatively, the tans can be used to create original minimalist designs, either for their aesthetic merit or as a challenge for others to replicate. The puzzle is widely recognized and has been used for amusement, art, and education. Its historical Chinese inventor is unknown, known only through the pen name Yang-cho-chu-shih. The puzzle is believed to have been invented in China around the late 18th century. It was carried to America and Europe by trading ships, first reaching the West when a set was given to Philadelphia shipping magnate Francis Waln in 1802. Broader Western exposure began in 1815 when Captain M. Donnaldson brought a pair of Chinese puzzle books to Philadelphia. The puzzle then reached England, where it became very fashionable, and the craze spread to other European countries. Tangram sets were exported from China in great numbers, made from materials including glass, wood, and tortoise shell. The puzzle enjoyed a resurgence in popularity during World War I. The English word “tangram” is of unclear origin; it may combine the Greek element “-gram” with a Chinese element, or derive from an archaic English word meaning “an odd, intricately contrived thing.” The first known use of the word appears in an 1848 book by mathematician Thomas Hill, who likely coined it. The word received official recognition in Noah Webster’s 1864 American Dictionary.

Reader's Guide

The tangram is a dissection puzzle composed of seven flat polygons—two large right triangles, one medium right triangle, two small right triangles, one square, and one parallelogram (the only piece lacking reflection symmetry)—which are arranged to form a given outline or original design. Its significance lies in its enduring popularity as a puzzle used for amusement, art, and education. The puzzle is reputed to have been invented in China around the late 18th century, likely influenced by a much older tradition of dissection amusements, including the modular banquet tables of the Song dynasty. These tables, developed by the polymath Huang Bosi, were arranged into pleasing patterns, and a seventh table was reportedly added later. The puzzle reached the Western world via trading ships: in 1815, an American captain received a pair of tangram books in China, which were brought to Philadelphia in 1816. The first American tangram book was based on these. The craze spread to England and then across Europe, driven by British puzzle books. Tangram sets were exported from China in materials such as glass, wood, and tortoise shell, with many reaching Denmark. The puzzle saw a resurgence in popularity during World War I. The English word "tangram" first appeared in an 1848 book by mathematician Thomas Hill, who promoted the puzzle for educational use; it was recognized in Noah Webster’s 1864 dictionary. A fraudulent history by Samuel Loyd in 1908, claiming ancient origins, was debunked by 1910, with Chinese scholars confirming no such tradition existed. The tangram remains one of the most widely recognized dissection puzzles globally.

Did You Know?

• The Catholic Church made no objection to puzzle games such as the tangram on the sabbath.