Dissecting a Pyramid into Four Equal Pieces

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This Demonstration shows the decomposition of a tetrahedron into four congruent solids. This has already been marketed as a popular puzzle in which the pieces are to be assembled back into a pyramid.
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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"Dissecting a Pyramid into Four Equal Pieces"
http://demonstrations.wolfram.com/DissectingAPyramidIntoFourEqualPieces/
Wolfram Demonstrations Project
Published: March 7 2011