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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 > Nathan Selikoff :: Algorithmic Artwork
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"Death Mask 2," by Nathan Selikoff
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This artwork, from the "Faces of Chaos" series, is a two-dimensional plot of the Lyapunov exponent of a chaotic dynamical system. The Lyapunov exponent is a measure of how chaotic the system is, and in this case, the system is a strange attractor with a four-dimensional phase space. Two of the dimensions are static, and the other two vary in the x and y directions of the image. A custom program renders four 16-bit grayscale images, which represent the different "components" of the spectrum of Lyapunov exponents. These images are combined in Photoshop using a pseudo-color technique to bring out subtle coloration in the final artwork. See more images from this series at www.nathanselikoff.com/facesofchaos/.
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