Tiling space and slabs with acute tetrahedra

Eppstein, David; Sullivan, John M.; Ungor, Alper

doi:10.1016/j.comgeo.2003.11.003

arXiv 2003-02-19 DOI 10.1016/j.comgeo.2003.11.003 0 views

Tiling space and slabs with acute tetrahedra

Eppstein, David · Sullivan, John M. · Ungor, Alper

Computational Geometry Metric Geometry F.2.2

Original · EN

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∘, and another which tiles a slab in space.

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