David Eppstein - Publications

Publications with Alper Üngör

• Tiling space and slabs with acute tetrahedra.
  D. Eppstein, J. M. Sullivan, and A. Üngör.
  arXiv:cs.CG/0302027.
  Comp. Geom. Theory & Applications 27 (3): 237–255, 2004.

  We show it is possible to triangulate 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 degrees, and another which tiles a slab in space.