Orderable and Deformable Coxeter Hyperbolic Tetrahedrons with Finite Volume

Abstract

In this article, we classified the 3-dimensional orderable and deformable Coxeter hyperbolic tetrahedrons with finite volume. Andreev’s states a necessary and sufficient condition for a hyperbolic polyhedron with finite volume. Choi’s theorem provides a necessary and sufficient condition for orderable and deformable Coxeter polyhedron. Using graph theory and combinatorics, we find that there are 13 orderable and deformable Coxeter hyperbolic tetrahedrons with finite volume up to symmetry.

Authors and Affiliations

Dhrubajit Choudhury

Keywords

Related Articles

Generalized Representation of the Planer Kinematic Chains having Different Types of Kinematic Pairs

Development of the method for generalizing the planer kinematic chains having same number of links but different kinematic pairs. By using link-link form of the incidence matrix or [JJM] Matrix. and elements of the matri...

Software Reliability

Unreliability of any product comes due to the failures or presence of faults in the system. As software does not “wear-out” or “age”, as a mechanical or an electronic system does, the unreliability of software is primari...

Convergence to IFRS: What Needs to be Done by Indian Corporate to Meet the Emerging Challenges?

Recent years have seen major changes in financial reporting worldwide under which the most obvious is the continuing adoption of IFRS worldwide. An upcoming economy on world economic map, India, too, decided to converge...

Software Effort and Cost Estimation using Software Requirement Specification

Process of estimating the effort required for the software development process is difficult and very complicated. There are many techniques to estimate the effort and cost of producing software, this article is based on...

Need of Effective Corporate Governance and Its Challenges in India

Corporate governance is the set of processes, policies, to ensure proper management of companies for effective accountability to all stakeholders, aim to optimize economic output and protect the interest of shareholders....

Download PDF file
  • EP ID EP162130
  • DOI -
  • Views 78
  • Downloads 0

How To Cite

Dhrubajit Choudhury (2013). Orderable and Deformable Coxeter Hyperbolic Tetrahedrons with Finite Volume. International Journal of Computational Engineering and Management IJCEM, 16(6), 5-11. https://europub.co.uk/articles/-A-162130