Tiling space and slabs with acute tetrahedra [PS]

David Eppstein, John M. Sullivan, and Alper Üngör

arXiv:cs.CG/0302027

Abstract:
We show it is possible to tile three-dimensional space using only tetrahedra with acute dihedral angles. We present several constructions to achieve this, including one in which all dihedral angles are less than $74.21^\circ$, and another which tiles a slab in space.

Alper Üngör ungor@cs.duke.edu Feb 18 2003