TRIANGULATIONS OF SOME CASES OF POLYHEDRA

Abstract. 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. 1