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Research

Viewed from the perspective of a natural computing system, XColony is able to act as a catalyst in several areas of expertise: genetics, synthetic biology, computational chemistry, robotics, computational architecture, optimization, operations research.

For example, optimization problems such as Polyhedral Domain Decomposition, Packing and Set Covering can be approached by using investigational tools based on the strategic modular decomposition principles described in the XColony system.

Recent challenges in data mining of large scale datasets and in integrating datasets from multiple sources can be addressed with strategies based on multi-dimensional projection, modular decomposition, combinatorics, grammars and formal languages, all of which can be intuitively termed by the XColony principles.

 

Science and Art

The XColony intrinsic features reside at the boundary between Science and Art.

XColony introduces a "universal language" over the alphabet of the five regular polyhedra: tetrahedron, cube, octahedron, icosahedron and dodecahedron, which are also known as the five Platonic solids. (Why only five Platonic solids? The proof is a direct application of the well known Euler's Formula)

The space induced by the "universal language" is further structured by an innovative formal grammar meant to generate "geometrical expressions" whose semantics is inherited from the spatial constructs.

Color palettes and light are fused into beautiful, picturesque realizations of the geometrical structures.