2014 Joint Mathematics Meetings
Gary Greenfield
Artists
Statement
Many of my computer generated algorithmic art works are based on visualizations resulting from simulating mathematical models of natural processes. Examples include cell morphogenesis, reaction-diffusion, and swarm behavior. Other works attempt to realize mathematical concepts. I try to focus the viewer's attention on the complexity underlying the computational processes.
Artworks
Under the control of a genetic algorithm, the inset thumbnail image at the upper left was reorganized - technically color segmented - into twenty-five simply-connected rectilinear regions in such a way that the number of region adjacencies was optimized. Here there are 3(25)-6 = 69 region adjacencies whence it follows that the graph formed by identifying regions as vertices and adjacencies as edges is a maximal planar graph on twenty-five vertices.