George W. Hart
Research Professor, Dept. Computer Science, Stony Brook University
http://www.georgehart.com
Latest sculpture barnraising: http://www.georgehart.com/G4G8
"In my work I often try to create three-dimensional forms which are simultaneously mathematical and organic. In this series of pieces I am trying to create a sense of hypothetical undersea creatures based on non-Euclidean structures."
“Echinodermania ”
2007, Nylon (by selective laser sintering, hand dyed) and ABS plastic (by fused deposition modeling), 12 inch by 12 inch by 4 inch in total. Approx. 4 inches each
Four different mappings were used to transform uniform hyperbolic tessellations from the Poincaré plane into a three-dimensional manifold (without boundary) embodying volume: (a) a disk lifting, (b) a helicoid in a sphere, (c) a toroidal loop, and (d) segment rotation into planes defined by the edges of a dodecahedron. Details can be found in G.W. Hart, "Sculptural Forms from Hyperbolic Tessellations," to appear in Proceedings of IEEE Shape Modeling International 2008, and on http://www.georgehart.com