An Euler brick is a cuboid that possesses integer edges a>b>c and face diagonals d_(a b) | = | sqrt(a^2 + b^2) d_(a c) | = | sqrt(a^2 + c^2) d_(b c) | = | sqrt(b^2 + c^2). If the space diagonal is also an integer, the Euler brick is called a perfect cuboid, although no examples of perfect cuboids are currently known.
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