Editing Euler brick (section)

{{short description|Cuboid whose edges and face diagonals have integer lengths}}
In [[mathematics]], an '''Euler brick''', named after [[Leonhard Euler]], is a [[rectangular cuboid]] whose [[Edge (geometry)|edges]] and [[face diagonal]]s all have integer lengths. A '''primitive Euler brick''' is an Euler brick whose edge lengths are [[relatively prime]]. A '''perfect Euler brick''' is one whose [[space diagonal]] is also an integer, but such a brick has not yet been found.
[[File:Euler_brick.svg|right|399x199px|thumb|Euler brick with edges {{math|''a'', ''b'', ''c''}} and face diagonals {{math|''d'', ''e'', ''f''}}]]