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The connection between mathematics and
art goes back thousands of years. Mathematics has been
used in the design of Gothic cathedrals, Rose windows,
oriental rugs, mosaics and tilings. Geometric forms were
fundamental to the cubists and many abstract expressionists,
and award-winning sculptors have used topology as the
basis for their pieces. Dutch artist M.C. Escher represented
infinity, Möbius bands, tessellations, deformations,
reflections, Platonic solids, spirals, symmetry, and
the hyperbolic plane in his works.
Mathematicians and artists continue to
create stunning works in all media and to explore the
visualization of mathematics--origami, computer-generated
landscapes, tesselations, fractals, anamorphic art, and
more.
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Home > 2011 Mathematical Art Exhibition
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"Bucky Madness," by Jeffrey Stewart Ely (Lewis and Clark College, Portland, OR)
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Digital print on archival paper, 20" x 20", 2010
This is my response to a request to make a ball and stick model of the buckyball carbon molecule. After deciding that a strict interpretation of the molecule lacked artistic flair, I proceeded to use it
as a theme. Here, the overall structure is a 60-node truncated icosahedron (buckyball), but each
node is itself a buckyball. The center sphere reflects this model in its surface and also recursively
reflects the whole against a mirror that is behind the observer.
I was recently surprised to read in David Richeson's book, Euler's Gem, that Legendre proved
Euler's Formula, V - E + F = 2, by projecting a polyhedron onto a sphere and then summing the
areas of the various spherical polygons. I think this fact resonates rather well with this design. --- Jeffrey Stewart Ely
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