_Gnomon

What added to any number, makes it similar to the number that is added.

by Alessandro Carboni e Simone Lecca
Choreography and Dance: Alessandro Carboni
Video Composition: Simone Lecca
Editing: Erik Righetti
Assistance: Massimiliano Pipia
Production: Riccione Teatro – Festival TTV 2009; Associazione Culturale Ouroboros
Support: CadaDie Teatro, Cagliari; Naba – Milano; Fondazione Bartoli Felter – Cagliari; Laba – Firenze; LaDU Laboratorio Densità Urbana – Cagliari;
Thanks to Mauro Mou, Massimo Mura, Laura Lecca, Fabio Atzeni.

Gnomon is a video project that was born as a further reflection within the choreographic project From Quad to Zero. The necessity to investigate specifically the relationship between mathematics, dance and the concept of invariance in change, has led the research to a specific study of the gnomon, a geometric figure, or mathematical tool used to generate similar figures. In 'antiquity, was used that technique, which addresses the need to enlarge or shrink a form, preserving its appearance. This invariance in change is a key theme in the design of architectural forms, for example, in the Indian tradition of the altar steps, which were subject to successive enlargements, the shape remains unchanged. The result of this research was the creation of a visual choreography focused on an action symmetric and circular construction and deconstruction of space.

Synopsis: Two identical figures are sitting into opposite corners of a red square. In the center two triangles, one white and one black, together, form another smaller square inside the red square. The figures, on opposite sides of the smallest square, symmetrically perform the same action: fill the space around them. Reached the limit, each figure invades the space of the other, trying to conquer as much territory as possible. The action becomes circular and the two figures, repeating the same gestures, ironically returning to the starting point, but this time reversing their positions: the feeling of circularity becomes a visual paradox.