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Subject: Number Theory
» Computational Number Theory
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Posted by: tsihonglau
on: May 4th, 2010
Conjecture   Does a perfect cuboid exist?

Perfect cuboid is a cuboid whose edges and face and body diagonals are all integers. In other words, is there any solution to the following system of Diophantine equations:

$ a^2 + b^2 = d^2 $

$ b^2 + c^2 = e^2 $

$ a^2 + c^2 = f^2 $

$ a^2 + b^2 + c^2 = g^2 $

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