Discrete & Computational Geometry

, Volume 37, Issue 2, pp 287–296

Sommerville's Missing Tetrahedra

Article

Abstract

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.

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Copyright information

© Springer 2006

Authors and Affiliations

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

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