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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)

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  • Euler brick
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  • 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)
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  • EulerBrick
  • PerfectCuboid
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  • Euler Brick
  • Perfect Cuboid
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  • 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) * (275, 252, 240), * (693, 480, 140), * (720, 132, 85), and * (792, 231, 160). Euler found at least two parametric solutions to the problem, but neither give all solutions. Given an Euler brick with edges (a, b, c), the triple (bc, ac, ab) constitutes an Euler brick as well.
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