complex geometry - geometry of the void

A term “complex geometry” is usually treated as a developed, sophisticated and parametric system, useful in creating new objects. In architecture it is generally related to physical structures and used as a good design tool. However, much more stimulating can be perceiving the same geometry as a void around us. Changing stereotypic point of view and looking at the same things in a different way, not through matter but inmatter, not through mass but through space in between, can open new possibilities and bring us new experience.
It seems to be necessary to use the same geometric system to describe both mass and void. We have to treat matter as well as inmater as complex structure. As well in mathematics as in philosophy we can find a lot of proves that there is no difference between them. For instance, Paradox of Zenon brings us another point of view, claiming that we can’t be sure if anything like physical being exists. That is why we should think about a void exactly like about the physical objects. We are supposed to measure it, to divide it, to explore it in the same way as we usually do with places strictly arranged by matter.
It allows us to discover new spaces, generate any kind of geometry, play with the whole surrounding, and with all the natural sources. For example in the void we can try to find new spaces generated only by the sun and shadow, noise and silence, by different smells. The only anxiety for architecture is to amplify feeling of that kind of space; to characterize it and to describe it extremely precisely. In this kind of geometry it is very hard to define spaces for people without any deceive obstructions.
In this way void can offer much more complicated and complex geometry, to be arranged without using any physical barriers, pure geometry.

G10 - Agata Kycia, Magda Osinska, Krzysztof Gornicki

Some sites with philophy, maths and new architecture, which devolop this subject
http://en.wikipedia.org/wiki/Zeno's_paradoxes
http://mathworld.wolfram.com
http://hipercroquis.wordpress.com/