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Slicing a One-Sided Polyhedron

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In 1968, Gonzalo Vélez-Jahn discovered this three-dimensional polyhedron with a single face, similar to a Möbius strip. This Demonstration shows the connected, single-sided figure that results from multiple cuts through the original polyhedron.

Contributed by: Robert Dickau, Gonzalo Vélez-Jahn, Luis Vélez, and Roger Bagula (April 2016)
Open content licensed under CC BY-NC-SA

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References

[1] M. Gardner, "Twisted Prismatic Rings," Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine, New York: W. H. Freeman, 1991.

[2] G. Vélez-Jahn, "Diseñando Lo Futuro: Edificaciones Hibridas," Primer Seminario de Realidad Virtual, Concepción: Universidad del Bío-Bío, 1995.

[3] G. Vélez-Jahn, "Professor Gonzalo Velez Jahn," Moebius 3D Wiki. (Apr 5, 2016) moebius-3d.wikia.com/wiki/Professor_Gonzalo_Velez _Jahn.

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