Italian design group Aquacalda are set to unveil their latest collection, "Geometrically Inspired Projects," at Salone Satellite during the 2012 Salone del Mobile. The collection includes a beer glass, chopping board and tables whose quirks are mathematically informed and offer a delightfully fresh angle to these everyday objects.
Through a process of "formal schematisation", the collection proposes and represents the reality of simple objects, the geometrical cue elaborating a clear and explicit synthesis between form and function. The Mediumsmall beer glass is the first example of this intriguing use of geometry, taking the rule that the volume of a cone is a third of that of a cylinder with the same height and base. Working with a 1 litre (100cl) capacity cylinder as the body of the beer glass and placing a cone of the same dimensions inside it, Aquacalda have created an dual purpose vessel which holds either 66cl or 33cl. The cone when positioned base-down reduces the volume of the cylinder by 33cl leaving 66cl, the perfect volume for a large continental beer, whilst when flipped over, the cone becomes an ideal vessel for a small bottle of beer.
Adopting the concept of geometric dissection and more specifically the Wallace-Bolyai-Gerwien theorem is the Quadrangolo table, which takes advantage of the fact that two polygons with the same surface area are equidecomposable. This means that the two polygons can be divided into a finite number of parts, two by two congruent. Quadrangolo uses this rule to exist as either a square table accommodating four people, or with some swift re-positioning, a rectangular version which can be used as a table for six.
Differently equal is a chopping board that uses medians to create a number of different shaped triangles of equal area from the original rectangular surface of the board. This allows you to serve cake, pizza or any other baking tray-filling delight into an array of triangular segments which merely "appear" to be differing portion sizes (a must for any mathematical society dinner party).
A similarly intriguing take on a desk tidy/all-purpose storage box is Poliedro/box for everything and nothing which through subtracting to even tetrahedra from a cube, allow the box to serve an array of functions depending on which of its surfaces is used as the base. Although not suggesting that you would want to do any of these simultaneously (or even sequentially without giving it a good rinse), Poliedro could well be used as a toilet roll holder, vase, glass, pencil holder or sweet jar among other things.