Computer Science – Computational Geometry
Scientific paper
2003-02-19
Computational Geometry Theory & Applications 27(3):237-255, 2004
Computer Science
Computational Geometry
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.
Eppstein David
Sullivan John M.
Ungor Alper
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