Heronian tetrahedron
A Heronian tetrahedron is a tetrahedron whose side lengths, face areas and volume are all rational numbers. The faces must therefore all be Heronian triangles.
A tetrahedron with rational sides is not necessarily a Heronian tetrahedron because its face areas and volume may not be rational numbers. A Heronian tetrahedron is sometimes called a perfect tetrahedron.
117 is the smallest possible length of the longest side of a perfect tetrahedron with integral sidelengths. Its other sidelengths are 51, 52, 53, 80 and 84.