Geodesic
2-Toroids and their 3-Triangulation
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 203

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It is known that we can always 3-triangulate (i.e. divide into tetrahedra) convex polyhedra but not always non-convex polyhedra. Here we discuss possibilities and properties of 3-triangulation of 2-toroids, i.e. polyhedra topologically equivalent to sphere with 2 handles, and develop the concepts of piecewise convex polyhedra and graph of connection.
Classification : 52C17 52B05, 05C62
Keywords: triangulation of polyhedra, toroids, piecewise convex polyhedra 
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     title = {2-Toroids and their {3-Triangulation}},
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Milica Stojanovic. 2-Toroids and their 3-Triangulation. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 203 . http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a2/