Euler brick

An Euler brick is a special type of rectangular cuboid (or box) with integer side lengths \(a\), \(b\), and \(c\) such that the lengths of the three face diagonals are also integers. Specifically, the conditions for an Euler brick are that: 1. The dimensions are positive integers: \(a\), \(b\), and \(c\). 2. The lengths of the face diagonals are also integers.