Beyond the Third Dimension
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Artist's Comments on the Klein Bottle

The second image in the Struik sequence, a ray-traced self-intersecting Klein bottle, also refers to a sequence appearing in the continuously projected videotapes shown in the alcove of the Providence gallery in 1996. It represented a fly-through which intersected the surface at two positions. The equations for this image were developed by David Kaplan and the renderings in the original videotape, together with the soundtrack, were the work of Jeff Beall.