Tiling space and slabs with acute tetrahedra

Published 19 Feb 2003 in cs.CG and math.MG | (0302027v1)

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 $77.08^\circ$, and another which tiles a slab in space.

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