Triangulations of some cases of polyhedra with a small number of tetrahedra
Kragujevac Journal of Mathematics, Tome 31 (2008), p. 85
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Considering the hypothesis that there exists a polyhedron with a minimal triangulation by $2n-10$ tetrahedra, earlier results show that such polyhedra can have only vertices of order 5, 6 or separated vertices of order 4. Other polyhedra have minimal triangulation with a smaller number of tetrahedra. This paper presents the examples of polyhedra with the mentioned property and with the triangulation by $2n-11$ tetrahedra.
Classification :
52C17 52B05 05C85
Keywords: triangulation of polyhedra, minimal triangulation
Keywords: triangulation of polyhedra, minimal triangulation
@article{KJM_2008_31_a7,
author = {Milica Stojanovi\'c},
title = {Triangulations of some cases of polyhedra with a small number of tetrahedra},
journal = {Kragujevac Journal of Mathematics},
pages = {85 },
year = {2008},
volume = {31},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2008_31_a7/}
}
Milica Stojanović. Triangulations of some cases of polyhedra with a small number of tetrahedra. Kragujevac Journal of Mathematics, Tome 31 (2008), p. 85 . http://geodesic.mathdoc.fr/item/KJM_2008_31_a7/