Topological Surfaces deal with geometry at a local and global level of behavior. Locally, surfaces are defined through immediate curvature. Globally, networks of surfaces become topological configurations. A single Medial Curve is a series of interpolated points acting as midpoints between two curves in space. At a more intricate level, Medial Surfaces are structured by points along the curves set within a voronoi diagram. 

 

Conceptually, “Medial Surface Detailing” investigates the spatial enclosures created by the process above. An initial preliminary study tests the intrinsic nature of this process by setting an array of curves to define the medial surface. These curves vary by diameter, one dimensional scaling, height position, and movement along a fixed 3 x 4 module grid. Afterward, an investigative study took place by examining curves set within  a 1 x 3 module grid to test for architectural implications. 

 

The investigative study shown demonstrates the volumetric behavior when interacting with the curves set within the voronoi diagram. Mass is carved away by the defined curves.  Once the Medial Surface is constructed, the volume is examined for structural rationale in order to create spatial enclosure. Examination begins by imposing a square grid on the primary surface. This grid extends to the depth of the medial surface, creating an egg crate structure to define it implicitly. Intersecting moments of the egg crate structure allow for detailed tectonic expression at a local level.