George W. Hart
Research Professor, Dept.
Computer Science, Stony Brook University
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."
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