Perfect Parallelepipeds

A perfect parallelepiped is a parallelepiped with integer length edges, face diagonals, and body diagonals. In 2009 it was shown that perfect parallelepipeds exist. This Demonstration gives 10 examples together with their generating vectors and required lengths.


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J. F. Sawyer and C. A. Reiter, "Perfect Parallelepipeds Exist," arXiv, 2009.
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