2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/31474We 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.htmlComputational GeometryMetric GeometryF.2.2text