Monthly Archives: December 2010

The Algebra of Space and the Emergence of Structure

Posted on December 31, 2010 by moniker

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 | Leave a comment

A Hyperbolic Perspective on TopoSynth

Posted on December 15, 2010 by moniker

The original motivation for exploring hyperbolic tessellations was to develop a framework for producing topologically complex 2-manifolds 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 →

Posted in Computational Technique, Space and Geometry | Leave a comment