A126766 Minimum length of longest edge of a tetrahedron with integer edges and integer volume 3*n.

76, 7, 8, 16, 8, 16, 10, 7, 40, 11, 27, 12, 308, 13, 84, 9, 128, 17, 28, 16, 16, 16, 34, 12, 20, 17, 91, 12

Offset: 1

Author

William Rex Marshall, Feb 15 2007

Keywords

• more
• nonn

Comments

A tetrahedron with integer edges has an integer volume only when the volume is a multiple of 3. It is unknown whether such tetrahedra exist for every multiple of 3.

Links

• K. L. Dove and J. S. Sumner, Tetrahedra with Integer Edges and Integer Volume, Mathematics Magazine, Volume 65(2), April 1992, pp. 104-111.