Permutation

[摘要] 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.

[发布机构] Rice University

[效力级别] Mathematics