Tiling space and slabs with acute tetrahedra
<|reference_start|>Tiling space and slabs with acute tetrahedra: 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.<|reference_end|>
@article{eppstein2003tiling,
    title={Tiling space and slabs with acute tetrahedra},
    author={David Eppstein, John M. Sullivan, and Alper Ungor},
    journal={Computational Geometry Theory & Applications 27(3):237-255, 2004},
    year={2003},
    doi={10.1016/j.comgeo.2003.11.003},
    archivePrefix={arXiv},
    eprint={cs/0302027},
    primaryClass={cs.CG math.MG}
}