Sunday, September 21, 2008

Voronoi and Cellular Fragmentation

Voronoi: Mathematics and Architecture


A Voronoi diagram is the geometric partition of space into cells, (planar), where each cell contains a single point thats no closer to one particular object than to any others. Mediating boundaries and duals (Delaunay triangulations), they create cell-structure geometries.

Voronoi diagrams and logarithms have been recycled, generalized, reinvented and reimagined, being applied over a variety of fields and professions. Diagrams allow for "spheres of influence" to be formed. Its an active-reactive enviroment, where for every partition there is a sizeable increase elsewhere.

It is an interesting exploration in dual relationships.


Utilization


In the use of the Acrylic Cells, there needs to be some underlying logic of articulation. Cells can not be arbitrarily deciphered and redeciphered. The Voronoi diagram allows for a flexibility in surface to be maintained as well as an underlying structure.

In response to the site, the Voronoi will partitian to conditions present such as sunlight and circulation; partitioning further where sunlight is present and less where it is not.

Voronoi Cellular Application

The Voronoi algorithm creates a connective web, which is not quite what the acrylic cells dictate tactily. Instead of creating an informed web it will help dictate cell shape and their interactions.

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