Tiling 3d euclidean space with acute tetrahedra.
Alper Üngör · 2001
. We show that it is possible to tile the three dimensional space using only acute dihedral angle tetrahedra. Several constructions to achieve this objective are presented. Largest dihedral angle in the best of these constructions is 77:07 ffi . Some necessary and/or sufficient conditions for acuteness of a tetrahedron are given. We also show that an acute angle triangulation is a Delaunay triangulation in two dimensions but not necessarily in three dimensions. 1