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Tiling space and slabs with acute tetrahedra

David Eppstein·John M. Sullivan·Alper Ungor
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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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David Eppstein, John M. Sullivan, Alper Ungor. 2003-02-19. Tiling space and slabs with acute tetrahedra. https://doi.org/10.1016/j.comgeo.2003.11.003

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