Teichmüller space

A space that records "how different geometric shapes surfaces with the same topology can be transformed into."

A map that collects all the "differences in shape".

Long and slender shape, round shape, constricted shape, twisted shape

Design parameter space where the proportions, distortions, curvatures, and opening positions of the space change while maintaining the same framework and connection relationships.

Not "the form of architecture," but "the very possibility that architecture can be transformed."

“Deformation Space Architecture”

The phase of the surface remains unchanged, the number of holes and connection relationships are preserved, but the geometric shape can be continuously altered.

Mathematical Architecture

space