Tiling space and slabs with acute tetrahedra

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dc.creatorEppstein, David
dc.creatorSullivan, John M.
dc.creatorUngor, Alper
dc.date2003-02-19
dc.date.accessioned2026-07-07T03:19:28Z
dc.date.available2026-07-07T03:19:28Z
dc.descriptionWe 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.
dc.description20 pages; 17 figures; 1 table; see also http://www.cs.duke.edu/~ungor/abstracts/acute_tiling.html
dc.identifierhttps://arxiv.org/abs/cs/0302027
dc.identifierhttp://arxiv.org/abs/cs/0302027
dc.identifierComputational Geometry Theory & Applications 27(3):237-255, 2004
dc.identifierdoi:10.1016/j.comgeo.2003.11.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31474
dc.subjectComputational Geometry
dc.subjectMetric Geometry
dc.subjectF.2.2
dc.titleTiling space and slabs with acute tetrahedra
dc.typetext

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