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Lengths of all edges and diagonals in the smallest perfect parallelepiped sorted in ascending order.
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%I #15 Feb 28 2013 13:14:39

%S 101,103,106,183,255,266,271,272,278,312,300,323,374

%N Lengths of all edges and diagonals in the smallest perfect parallelepiped sorted in ascending order.

%C This is the smallest perfect parallelepiped with edge lengths 271, 106, 103, minor face diagonal lengths 101, 266, 255, major face diagonal lengths 183, 312, 323, and body diagonal lengths 374, 300, 278, 272. There are a total of 27 known perfect parallelepipeds.

%H Jorge F. Sawyer and Clifford A. Reiter, <a href="http://arxiv.org/abs/0907.0220">Perfect parallelepipeds exist</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Euler_brick#Perfect_parallelepiped">Euler brick</a>

%K nonn,fini,full

%O 1,1

%A _Kausthub Gudipati_, Sep 19 2011