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Images of 4D-lit knotted spheres including depiction of 4D occlusion in the 3D projection; this is similar to the self-occlusions of a knotted rope in 3D projected to a 2D image. The first image is a time-consuming volume rendering, while its equivalent below can be manipulated using real-time methods. (R. Cross, A. Hanson, and P. Heng, Indiana University.)
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This is one of a series of glass Klein bottles made by Alan Bennett in Bedford, United Kingdom for the Science Museum, London. It consists of three Klein bottles, one inside another. A Klein bottle is a surface which has no edges, no outside or inside and cannot properly be constructed in three dimensions. In the series Alan Bennett made Klein bottles analogous to Mobius strips with odd numbers of twists greater than one.
Image number:10314758
Credit:Science Museum/Science & Society Picture Library
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