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Monthly Archives: December 2010
The Algebra of Space and the Emergence of Structure
The Construction of Space When we think about space, particularly in a computational setting, we usually deal with matrices (linear algebra) and vectors where the matrices represent transformations and the vectors are frequently a conflation of direction and location. Even … Continue reading
Posted in Space and Geometry
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A Hyperbolic Perspective on TopoSynth
The original motivation for exploring hyperbolic tessellations was to develop a framework for producing topologically complex 2manifolds with a regular tiling using a single type of polygon. First, using only a single, regular tile simplifies the description of calculations over the surface … Continue reading