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.
This enigmatic figure has captured the imaginations of geometrists the world over, from the builders of the Egyptian pyramids, where astronomer Thales of Miletus (630 BC) began the study of geometry, to the most advanced investigators. The codes for the formulation of secret keys, the communication system by fax, the improved definition of a photographic reproduction, the transmission of X-ray images, or the storage of sounds on disc, are some of its applications in advanced geometry. We shouldn’t forget that since prehistoric times, and later in ancient history, geometry has been inspired by the same popular culture that has produced the Mudejar coffered ceilings, the prints of fabrics such as Zulu Ndebele, the mosaics of the gates of Babylon, the Greek and Roman pavement patterns, multitudes of musical styles or the creation of a great many modern sculptures and graphic works.
Mosaics makes the most of two of the isosceles triangles´ properties: that which dictates that two of these triangles of the same size are always “congruent”, and the one stating that two of them, placed on the same plane so that the ends of the hypotenuse touch, make a rectangle whose sides are formed by the legs of the triangles. Therefore, one orthogonal grid is formed by the legs and another one by the diagonal lines formed by the hypotenuse. In combination with the two colors, white and black (positive / negative), the mosaic can form four-way sequences based on mathematical, rhythmic or random patterns. Compositions can be made pixel by pixel or set by set, following the intuition of the players’ pathos or adhering strictly to their logos, finding abstract forms as well as figurative and optical illusions. Not coincidentally, the word mosaic is derived from museum, the temple of the Muses.
As noted by Juan Bordes in his book The Childhood of the Vanguard (Ed Chair), “These ideas were already demonstrated by Jean Sébastien Truchet (1657-1729), the French mathematician who applied his mathematical skills to typography, to graphic systematization and to engineering, before being developed by the Dominican monk Douat in publications that inspired the creation of geometric compositions based on this system.”
Simply put, Mosaics is a game of geometric thinking. It is free of rules, allowing you to explore your mind, accompanied by the Muses, while you enjoy exhilarating the moments of inspiration or relive exciting experiences that you can share with those who, so long ago in history, were seduced by this same geometry.
The vertex, the common point at which two lines converge – or diverge – , is a primordial element in the graphic representation of all kinds of phenomena. It is first and foremost a graphic symbol, one that in its essence is the synthesis of an event. It marks the point where a road separates, where two rivers come together, where one plane ends and another begins, a change of direction, a fold, a dilemma posed by two possibilities, the branching out of growth and evolution, the cross-linking of a plane, the planar deconstruction of a volume, an itinerary for logical reasoning, computational structure, algorhythmic formulation…
3 Models to choose:
- Wooden case lined paper: 15 chairs / 29 chairs
- Small packaging 15 chairs
These are chairs that can be piled up, stacked, left scattered on the floor or grouped into random shapes of difficult equilibrium. But whatever we do with them, this game lets us play with the most primitive rules, those of a child trying to challenge himself and to dare balance itself by stacking objects using the freest of artistic expression.
Nirvana is a game. In this game, it is possible to experience how the force of gravity participates in balance. It allows us to observe surprising compositions by playing with the disparate relationships between weight/volume and weight/position.
We do not realize that in our body the same physical laws are taking place.
We suggest you to experiment with any alternative object to the spinning top as a counterweight to the arch. We provide some suggestions...
The tightrope walker balances over the precipice, risking life and limb as he walks over the thinnest of threads. They are not actors; rather, they relive what is essentially their life away from the wire. We are all tightrope walkers, though some more than others. Whether we are aware of it or not, we are all balanced on the edge. That is what they are trying to tell us.