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The box is the result of subtracting two even tetrahedra from a cube. The subtracted tetrahedrons do not directly and respectively derived from four of the cube's eight vertexes, (V4, V1, V3, V5 and V7, V2, V6, V8) but three of them (V'1, V'3, V'5, and V'2, V'6, V'8) are positioned along the three edges of the cube in a symmetrical way and at an appropriately calculated distance from the fourth vertex (V4 and V7) in order to obtain an opening and a base dimensionally appropriate and functional. The two portions subtracted from the cube are symmetrical. Thanks to its rotational asymmetries, the solid obtained changes shape and function if differently oriented with respect to the three axes (a, b, c). The shape of the body obtained in this way makes the object easy to handle and to use.

White glazed ceramic.

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**Cube tetrahedrons**

A tetrahedron can be inscribed in a cube and its vertexes are four of the eight vertexes of the base cube. In fact the eight vertexes of the cube may be divided into two sets respectively made up of the sum of the vertexes with even coordinates and vertexes with odd coordinates. Each of these quadruples identifies a tetrahedron with the vertexes in the quadruplet and whose six edges are diagonals of the six square faces of the cube.

a project of the collection ......

Progetti di ispirazione geometrica

Geometry is the part of mathematical science that pertains shapes in the plan and in the space and their mutual relations, its birth was due to the desire to represent reality, and in particular objects in three dimensional space in which we live.* *Thanks to a process of formal schematization the collection propose and represent the reality of simple objects, the geometrical cue elaborates a clear and explicit synthesis between form and function and increases their potential recounting their concreteness through the form.

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