How do virtual dimensions relate with real spaces?  This experiment investigates topological manifolds and Euclidean space. As we know, a 1-dimensional manifold in 2-dimensional space can be projected to a 1-dimensional map (line). Likewise, a 2d manifold in 3d space can be mapped as a 2d map (surface). In order to explore the freedom of forming in the 3d  Euclidean space, the program employs a 3d manifold in 4d space and projects it as a 3d map, i.e., a 3-d field. Then architectural spaces are self-organized within the resulting field. The floors and vertical connections are planned simultaneously.

Researcher: Hua Hao (华好)

Year: 2013