"A System of
Residence Space Construction" – Geometric Analysis
The geometric analysis aims to specify a homogenous cohesive 3D spatial
allocation of potential architectural facilities. The required allocation is
represented as a 3D lattice of which the nodes denote potential architectural
spaces, while the edges denote potential contacts between these spaces. The
abstract form of each architectural space is given by the polyhedron dual to
the respective node: this is the polyhedron formed by the perpendicular
bisector Planes of all the edges attached to that node.
Cohesion is closely related to variability, as—given the appropriate ergonomic
dimensions of the architectural spaces—increases the number of the potential
architectural spaces per volume unit, consequently exponentially increases the
number of the potential architectural compositions. The possibility to shift /
reallocate parts of the lattice according to specific rules (this possibility
has a uniform distribution in space) multiplies variability.

