In mathematics, an Euler brick, named after the famous mathematician Leonhard Euler, is a cuboid with integer edges and also integer face diagonals. A primitive Euler brick is an Euler brick with its edges relatively prime. Alternatively stated, an Euler Brick is a solution to the following system of diophantine equations: The smallest Euler brick has edges (a, b, c) = (240, 117, 44) and face polyhedron diagonals 267, 244, and 125. Paul Halcke discovered it in 1719. Other solutions are: Given as: length (a, b, c)