Euler bricks

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Note that Euler bricks have at least a faint connection with Turán’s brick-factory problem, namely, that the lines involved in an Euler brick can be considered to be ‘crossings’, and can be considered to be ‘minimal’ in the sense of being required to be integral.
You could hurl a perfect Euler brick
Without hitting someone well or sick
If, as many men insist,
Such a brick does not exist.
keywords: Mathematics, Geometry, edges, faces, vertex, vertices