Three-Piece Dissection of a Hill Tetrahedron into a Triangular Prism

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This Demonstration shows a three-piece dissection of a tetrahedron into a triangular prism. The tetrahedron is one-sixth of a cube and an example of a Hill tetrahedron of the first type. The dissection of any Hill tetrahedron of the first type was found independently by Scöbi (1985) and Hanegraaf.

Contributed by: Izidor Hafner (March 2011)
Open content licensed under CC BY-NC-SA


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G. N. Frederickson, Dissections: Plane & Fancy, New York, NY: Cambridge Univ. Press, 1997 pp. 234–235.



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