Monthly Archives: May 2011

Topological Automata in Hyperbolic Tilings

Posted on May 31, 2011 by moniker

Hierarchies of Spaces: Building From the Bottom Up One of the major challenges in building a system that can increase in complexity as it runs is figuring out how to transfer complex structures in a lower level space into simple … Continue reading →

Posted in Computational Technique, Space and Geometry | Tagged , , , | 1 Comment

Valency (video)

Posted on May 24, 2011 by moniker

These are clips of how the particle systems described in previous posts move in space. It’s all very raw, but I wanted to get something out there. The larger structures suffer from convergence problems creating oscillations, twisting, foldings, and other … Continue reading →

Posted in Computational Technique, Space and Geometry | Tagged , , | 3 Comments

Connecting the Dots With Differential Geometry (images)

Posted on May 19, 2011 by moniker
Posted in Computational Technique, Space and Geometry | 1 Comment

Connecting the Dots With Differential Geometry

Posted on May 19, 2011 by moniker

Particle-Based Structure Formation In order to build a complex and dynamic spatial system, there need be entities operating at multiple temporal and spatial scales.  As mentioned in the previous post, the extremes of the spatial scale are local and global … Continue reading →

Posted in Computational Technique, Space and Geometry | Tagged , | 1 Comment

Spatial Processes and Spatial Hashing

Posted on May 10, 2011 by moniker

Spatial Processes There are four broad categories of spatial processes Purely Global Global <-> Local Local <-> Local Purely Local and two general categories of spatial primitives Field Particle Of course, the spatial primitives can be organized into composite structures … Continue reading →

Posted in Software Engineering, Space and Geometry | Tagged , , , | 1 Comment