"Torus II," 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 dimensions) 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 a two dimensional surface but we can try. The torus appears to intersect itself, but this is because we are pretending it exists in three dimensions. In the four-dimension space, it does not intersect. The surface of the torus was made partially transparent to reveal the structure within.
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)
Credit: Eric J. Heller, Harvard University
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