Tiling space and slabs with acute tetrahedra

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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.
20 pages; 17 figures; 1 table; see also http://www.cs.duke.edu/~ungor/abstracts/acute_tiling.html

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Computational Geometry, Metric Geometry, F.2.2

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http://salesiana.dossiersoluciones.com/handle/123456789/31474

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cs/0302027
 http://arxiv.org/abs/cs/0302027
 Computational Geometry Theory & Applications 27(3):237-255, 2004
 doi:10.1016/j.comgeo.2003.11.003

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arXiv