STM Journals Peer-reviewed research from Consortium e-Learning Network

Research & Reviews: Discrete Mathematical Structures

Coxeter Dihedral Symmetric Tetrahedrons with Triangle Groups: Euclidean, Spherical and Hyperbolic

  1. Pranab Kalita

Abstract

Abstract: In this article, we have classified the Coxeter Dihedral Symmetric (CDS) tetrahedrons with triangle groups: Euclidean, Spherical and Hyperbolic. We have calculated the gram spectrums of these CDS tetrahedrons with triangle groups: Euclidean, spherical and hyperbolic, and finally studied their existence in the spaces: Euclidean, spherical and hyperbolic.MSC 2010 Codes: 51M05, 05C50, 15A45, 15A42, 05C69.Keywords: Coxeter Dihedral Symmetric Tetrahedrons, Triangle groups, gram matrix, spectrum, Euclidean, eigen valuesCite this Article: Pranab Kalita. Coxeter Dihedral Symmetric Tetrahedrons with Triangle Groups: Euclidean, Spherical and Hyperbolic. Research & Reviews Discrete Mathematical Structures. 2019; 6(3): 1–12p.
Support