How do you play Tangram?
Tangram is no ordinary puzzle. The placement of the ‘tans’ and the observation of the figures come together to confer an aura of enigma and magic to the game, giving the Tangram its own special place in the world of puzzles and riddles. The possibilities that it provides for our imagination are virtually infinite. Much like when we put together a collage, the individual pieces of a Tangram lose their identity and appear before our eyes, magically, as part of a new form.
The puzzle is made up of seven flat, geometric pieces resulting from the dissection of a square. Each one of these pieces is called a ‘tan’ (part, in Chinese). There are 2 large triangles, 1 medium-sized triangle, 2 small triangles, a square and a rhomboid.
How is it that the partition of a square in 7 parts – these 7 in particular – can yield such a vast array of fascinating, evocative figures? We have yet to come up with an answer, despite our search in specialized publications and web sites; perhaps the question would best be put to a mathematician.
What makes the Pentaminos fascinating is its initial simplicity, so different from the ennigmas and problems described below. Unlike a 1000-piece puzzle, which has a single solution, the Pentaminos, while consisting of only 12 pieces, has thousands of possible solutions.
Altogether there are twelve different Pentaminos, each designated by a different letter of the alphabet: (F, I, L, N, P, T, U, V, W, X, Y, Z). Pentaminos obtained by joining others at their axis or by rotation are not considered to be ‘different’ Pentaminos.
Objects that we are drawn to – personal adornments, ornaments in general, a feathered embroidery, a necklace, a capital, an eave… - are more often than not imitations of models found in nature: a flower’s petals, a plant’s leaves, a bird’s plumage…We’re struck not only by the beautiful colors of these objects but also by the arrangement of their different elements. When we take objects that are seemingly identical and try to create something new with them we have no choice but to subject ourselves to the laws of physics, letting them guide us in our effort to create something that will mirror the beauty and harmony that exist in nature.
The triangle is the polygon with the fewest number of sides that can be made with straight lines. It is also the most elementary polygon, the primary polygonal unit, the proto-cell with which we can cover an entire flat surface and form all other possible geometric figures.
The cube, an orthogonal parallelepipedic prism of six equal sides, is inextricably linked, from the time of the very first civilizations, to open, inhabitable spaces. For such a simple, sparse and symmetrical shape to achieve any sort of expressiveness there must be some irregularity involved or some relationship with its surroundings.