Discrete & Computational Geometry

, Volume 37, Issue 2, pp 287–296

Sommerville's Missing Tetrahedra


DOI: 10.1007/s00454-006-1293-4

Cite this article as:
Edmonds, A. Discrete Comput Geom (2007) 37: 287. doi:10.1007/s00454-006-1293-4


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.

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of Mathematics, Indiana UniversityBloomington, IN 47405USA

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