Tiling space and slabs with acute tetrahedra

Abstract

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

References in corpus (1)

• Building Space-Time Meshes over Arbitrary Spatial Domains

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