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Tiling space and slabs with acute tetrahedra |
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| Authors: | David Eppstein , John M. Sullivan ,Alper Ü ng r |
| Affiliation: | a Department of Information and Computer Science, Univ. of California at Irvine, USA b Department of Mathematics, Univ. of Illinois at Urbana-Champaign, USA c Institut für Mathematik, Technische Universität Berlin, Berlin, Germany d Department of Computer Science, Duke Univ., USA |
| 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 74.21°, and another which tiles a slab in space. |
| Keywords: | Author Keywords: Tiling Acute triangulation Computational Geometry Mesh generation |
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