Finding equal-diameter tetrahedralizations of polyhedra
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In this paper we show that every simple polyhedron can be tiled into equal-diameter tetrahedra. Our constructive proof does not give bounds for the number of tetrahedra needed.
KeywordsTriangulation Tetrahedralization Polyhedron Tetrahedron
Mathematics Subject Classification52C17
- De Loera, J., Rambau, J., Santos, F.: Triangulations, structures for algorithms and applications, algorithms and computation in mathematics, vol. 25. Springer, Berlin (2010)Google Scholar