diagonals problem | integral brick | integral cuboid | perfect box | rational cuboid

An Euler brick is a cuboid that possesses integer edges a>b>c and face diagonals d_(a b) | = | sqrt(a^2 + b^2) d_(a c) | = | sqrt(a^2 + c^2) d_(b c) | = | sqrt(b^2 + c^2). If the space diagonal is also an integer, the Euler brick is called a perfect cuboid, although no examples of perfect cuboids are currently known.

cuboid | cyclic quadrilateral | face diagonal | Heronian tetrahedron | Heronian triangle | parallelepiped | perfect cuboid | polyhedron diagonal | Pythagorean quadruple | Pythagorean triple | rational distance problem | space diagonal

Leonhard Euler