Torus I
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Torus I

June 23, 2010
Torus I "Torus I," from the Gallery of Eric J. Heller. Explanation of image, as taken from Heller Gallery: This image is a three dimensional image (plotted in two dimension) of a four dimensional object. When classical motion of particles is not chaotic, we say it is integrable; it can be confined to the surface of donut-shaped objects or "tori" which live in four or more dimensions. We cannot accurately represent such objects on the two-dimensional surface of an image. But we can try. The twisting surface seen here follows a torus wrapped around a simpler, larger torus. This corresponds to a classical resonance, in which one kind of motion efficiently exchanges energy back and forth with another. Heller's work was included in the exhibit "Approaching Chaos," shown at the National Science Foundation (NSF) headquarters in Arlington, Va., July thru October 2002, as part of "The Art of Science Project." The Art of Science Project was conceived and implemented by a cross-directorate committee of NSF staff. Its purpose is to bring to NSF, original works of art that visually explore the connections between artistic and scientific expression. This image is copyright and was included in the NSF Multimedia Gallery with permission from the owner. See "Restrictions" below regarding use of this image. [Research supported by Harvard's NSEC (NSF) grant.] (Date of Image: 2001)

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