George W. Hart
“(10,3)-a ”
Nylon (selective laser sintering), 3.5 x 3.5 x 3.5 inches, 2008.
This is a sculptural interpretation of the (10,3)-a crystal lattice, which has been well known to crystallographers and mathematicians for decades. However I have adapted it by wrapping it in a smooth surface which maintains its high genus topology while giving an organic sensibility. A 4x4x4 block has been selected from the infinite lattice in such a way that it can stand upright on a corner with a 3-fold axis vertical. Viewing the sculpture from different vantage points reveals a rich set of dramatically different tunnels along varying projections. For additional information and images, see http://www.georgehart.com/rp/10-3.html
“(10,3)-a twice”
Nylon (selective laser sintering), 3.5 x 3.5 x 3.5 inch, 2008.
This is a sculptural interpretation, made by selective laser
sintering, of two copies of the (10,3)-a lattice. Modern layered
fabrication processes allow the construction of two interlocked
components which are free to move slightly relative to each other,
within the constraints of their being linked. The two copies are
congruent, though mirror images. Each interpenetrates the tunnels of
the other in a surprisingly complex manner. The 5x5x5 selection from the infinite lattice was made in such a way that the
sculpture can stand vertically on a corner.
George W. Hart, Research Professor,
Stony Brook University,
Stony Brook, NY USA
"As a sculptor of constructive geometric forms, my work deals
with patterns and relationships derived from classical ideals of balance
and symmetry. Mathematical yet organic, these abstract forms invite the
viewer to partake of the geometric aesthetic."
george@georgehart.com
http://www.georgehart.com