Tiling space and slabs with acute tetrahedra

Computer Science – Computational Geometry

Scientific paper

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Details

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

Scientific paper

10.1016/j.comgeo.2003.11.003

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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