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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 > 2012 Mathematical Art Exhibition
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"Hyperbolic Coasters," by Mikael Vejdemo-Johansson (University of St. Andrews, Scotland)
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Laser-etched glass, 14 items, 12cm diameter each, 2011
The advent of accessible automated tools opens up a number of new approaches to art: especially algorithmic and mathematical art works. The computational control allows us to write algorithms to generate concrete physical art; and their precision allows a higher resolution than what the eye can discern. These pieces highlighting and reifying different mathematical concepts, giving them physical presence and accessibility and turning abstract geometry into hands-on displays and objects. Among the most successful of the reified mathematics art-pieces I produced where these--hyperbolic disk tilings with the Poincare disk model were etched onto glass disks, producing a collection of reified hyperbolic geometries and symmetries. --- Mikael Vejdemo-Johansson (University of St. Andrews, Scotland, http://mikael.johanssons.org)
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