This is a story of two spatial designers: The Mathematician and the Architect. In the four dimensional space of a Mathematician, most physical realities must be ignored in order for the space to remain pure. The visual, one of the most powerful tools of the Architect, can coexist within the Mathematician's four dimensional world without affecting its purity. However, the Architect must ignore his/her physical realities, such as gravity, mass, and human scale. The Mathematician establishes the rules within which the Architect must operate. The Architect manipulates form through a structure that is defined by the Mathematician. The Architect explores spatial qualities through the tools that the Mathematician gives him/her. The Architect tries to understand the meaning of the form that both of them have created. He/she pushes the form in order for it to achieve spatial qualities. Together, the Mathematician and the Architect try to understand the meaning of such spatial qualifiers as: big/small, wide/narrow, inside/outside, and light/dark. The Architect starts to understand why spaces achieve these qualities in his/her physical world.
Nichols, Christopher. "Permutation." (1997) Master’s Thesis, Rice University. https://hdl.handle.net/1911/71313.