Geometries of Imaginary Space: Architectural Developments of the Ideas of

The aim of this paper is to show how efficient mathematical models can be in simulating situations that are apparently distant from one another. The works of M. C. Escher and Buckminster Fuller are used as starting points for the exploration of the first applications of non-Euclidean geometry to architecture. The investigation goes on to fractals and chaos, nurbs, blob architecture and deconstructivism.