Tiling space and slabs with acute tetrahedra
Computational Geometry
2007-05-23 v1 Metric Geometry
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 , and another which tiles a slab in space.
Cite
@article{arxiv.cs/0302027,
title = {Tiling space and slabs with acute tetrahedra},
author = {David Eppstein and John M. Sullivan and Alper Ungor},
journal= {arXiv preprint arXiv:cs/0302027},
year = {2007}
}
Comments
20 pages; 17 figures; 1 table; see also http://www.cs.duke.edu/~ungor/abstracts/acute_tiling.html