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"Frabjous," by George W. Hart (www.georgehart.com)This is an 11-inch diameter sculpture made of laser-cut wood (aspen). It is assembled from thirty identical pieces. Each is an elongated S-shaped form, with two openings. The aspen is quite light in color but the laser-cut edges are a rich contrasting brown. The openings add nicely to the whirling effect. The appearance is very different as one moves around it. This is an image of how it appears looking straight down one of the vortices. The word "frabjous" comes, of course, from "The Jabberwocky" of Lewis Carroll. "O frabjous day! Callooh! Callay!" --- George W. Hart (www.georgehart.com)
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"72 Pencils," by George W. Hart (www.georgehart.com)"72 Pencils" is a geometric construction of 72 pencils, assembled into a work of art. The form is an arrangement of four intersecting hexagonal tubes that penetrate each other in a fascinating three-dimensional lattice. For some viewers, part of the interest lies in the form of the interior. The four hexagonal tubes are hollow, so the sculpture as a whole is hollow. But, what shape is its cavity? What would someone on the inside see? To the mathematician, the answer is "the rhombic dodecahedron," a geometric solid bounded by twelve rhombuses. See two other views, showing how it looks along various axes of symmetry, at www.georgehart.comwww.georgehart.com. --- George W. Hart (www.georgehart.com)
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"(10,3)-a," by George Hart, Stony Brook University, Stony Brook, NY (2008)Nylon (selective laser sintering), 3.5” x 3.5” x 3.5”. "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." --- George Hart, Research Professor, Stony Brook University, Stony Brook, NY
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"(10,3)-a Twice," by George Hart, Stony Brook University, Stony Brook, NY (2008)Nylon (selective laser sintering), 3.5” x 3.5” x 3.5”. "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. See more works at http://www.georgehart.com." --- George Hart, Research Professor, Stony Brook University, Stony Brook, NY