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

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.