Four-Piece Dissection of Juel's Pyramid to a Prism
 Juel's pyramid has the base of a cube and apex the center of the cube. A dissection of the pyramid to a parallelepiped is described in [2]. The construction consists of cutting the pyramid into three layers. There is a hinged dissection of the Hill tetrahedron to a triangular prism, using a construction found independently by P. Schobi and A. Hanegraaf [1]. This is a three-piece dissection. Together these yield a four-piece dissection of Juel's pyramid to the prism. [1] G. N. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 2002 p. 235. [2] H. Meschkowski, Grundlagen der Euklidischen Geometrie (Croatian edition), Zagreb: Skolska Knjiga, 1978 pp. 211–214.   "Four-Piece Dissection of Juel's Pyramid to a Prism" from The Wolfram Demonstrations Project http://demonstrations.wolfram.com/FourPieceDissectionOfJuelsPyramidToAPrism/ Contributed by: Izidor Hafner | ||||||||||||||
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