Fundamental Research Using Object Generators
and Object Interactions

In this sequence, node objects are changing their position by sensing the positions of adjacent nodes in the network. Positional potential energy is being radiated outward through the network.
1	2	3	4
1. A portion of the second layer is extruded to show voxels that     a model would utilize. 2. Believe it or not, this is a TIN data structure. 3. Geometric surfaces can be mathematically generated and     oriented in space. 4. This layer network was generated using opposing Sin functions.

Research is being conducted into the use of mathematical functions to generate two- and three-dimensional networks of Esri objects and propagation of information through those networks. The work originated from the notion that since Esri data now exists as objects capable of behavior, scenarios could be set up where the objects interact with the environment or each other.

Preliminary investigations included the mathematical generation of three-dimensional topologies (including three-dimensional polygons), object listeners, and mesh topologies responding to forcing functions. Potential applications include use of these networks to aid in numeric model mesh generation and adaptive mesh refinement.

All data structures were generated by manipulating ArcObjects in the Visual Basic .NET framework. Images were generated in the ArcMap and ArcScene applications for ArcGIS Desktop.