ScholarLens Back to search
2008•Repository of the University of Belgrade Faculty of Organizational Sciences (RFOS)Open access

Triangulations of some cases of polyhedra with a small number of tetrahedra

Milica Stojanović

Open full text 3 citations

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. .

Open-access reader

About this research paper

What this paper is about

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. .

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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. .

Key concepts: Polyhedron, Tetrahedron, Triangulation, Combinatorics, Mathematics, Geometry

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Triangulations of some cases of polyhedra with a small number of tetrahedra — Research Paper | ScholarLens