House for Two
Dialectical Derivation of the Cartopological Nine-Square Grid

Binhan Li

The spatial form of the house was derived dialectically from neutrally originated Cartesian nine-square space. The original Cartesian space was first replicated and segregated to form an anti-thesis. Two spaces were then each developed into two arguments - verticality and horizontality. The debate between the two opposites eventually motivated a topological resolution. The space as a whole became the sublation derived from the two contending spaces.

Hegelian dialectics were used metaphorically as the motive for the spatial organization. The resulting space is a unity of opposition, through a metaphor of thesis-antithesis-synthesis.