Triangulations of some cases of polyhedra with a small number of tetrahedra
Kragujevac Journal of Mathematics, Tome 31 (2008), p. 85
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
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/
@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/}
}