Geodesic
Minimal 3-triangulations of p-toroids
Filomat, Tome 37 (2023) no. 1, p. 115

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DOI

It is known that we can always 3-triangulate (i.e. divide into tetrahedra with the original vertices) convex polyhedra but not always non-convex ones. Polyhedra topologically equivalent to ball with p handles, shortly p-toroids, cannot be convex. So, it is interesting to investigate possibilities and properties of their 3-triangulations. Here we study the minimal number of necessary tetrahedra for the triangulation of a 3-triangulable p-toroid. For that purpose, we developed the concept of piecewise convex polyhedron and that of its connection graph.
DOI : 10.2298/FIL2301115S
Classification : 52C17, 52B05, 05C62
Keywords: triangulation of polyhedra, Toroids, Piecewise convex polyhedra 
Milica Stojanović. Minimal 3-triangulations of p-toroids. Filomat, Tome 37 (2023) no. 1, p. 115 . doi: 10.2298/FIL2301115S
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     title = {Minimal 3-triangulations of p-toroids},
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     doi = {10.2298/FIL2301115S},
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