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Unfolding the surface

Space architecture

Abstract: Skin is where the finite body ends and the infinite begins.

I could be bounded in a nutshell and count myself a king of infinite space...
Shakespeare, Hamlet II, 2

Space has always fascinated and inspired thinkers and artists alike; they aspire for a new geometric order as a coneptualizing tool. Interestingly, almost all objects developed in the history of mankind are convex, i.e., they are bounded by a surface that negotiates the lim-its of their finite volumes against the expansive infinite space -- very much like the skin where our finite body ends and the infinite begins. This insight lead the second author, in 1982, to develop thirty four non-convex polyhedra with identical vertex conditions. Unlike their convex counterparts, which are made by folding a surface so that the sum of all an-gles meeting at a vertice are always less than 360 degrees, the non-convex polyhedra are made by unfolding a plane surface into two independent, interwoven spaces of infinite magnitude.

Recent advances in electromagnetics, nanotechnology, and molecular engineering tech-nologies have brought the applications of non-convex polyhedra in the space architecture within our reach. In this paper we will delineate some of the properties of the non-convex polyhedra and outline their potential applications. The convex polyhedra gave credence tothe notions of micro - macro cosmos and their attending ethos and cultural mores. We end the paper with a polemic: “with the non-convex polyhedra we are set to inaugurate a new kind of metaphysics wherein both the inner and outer are really infinite and hence non-hierarchical. In that context, what will be the ethos of this approach? And further, what will be the aesthetics and spatial expressions this paradigm shift in space design will inspire?”


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Expanding the Space
Més enllà de l’Espai

Conference & Workshop on Space & Art
Contact & Info

Design: inklude

October 3-4-5-6, 2006
Universitat Internacional Menéndez Pelayo
Palau de Pineda (Sala 5)
Pl. del Carme, 4
46003 València
tel. +34 96 385 98 00

Night performances:
Jardí Botànic de València
C/ Quart, 80
46008-València

Organized by Octubre Centre de Cultura Contemporània in collaboration with Leonardo/Olats Co sponsor: International Academy of Astronautics