Discrete & Computational Geometry

, Volume 37, Issue 2, pp 287-296

Sommerville's Missing Tetrahedra

  • Allan L. EdmondsAffiliated withDepartment of Mathematics, Indiana University Email author 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


D.M.Y. Sommerville's 1923 classification of tetrahedra that can tile 3-space in a proper, face-to-face manner is completed, by showing that the case he failed to consider cannot occur, although it does occur in non-proper and in non-face-to-face tilings.