Gram Spectrums of Triangles and Tetrahedrons with Triangle Groups

Abstract

In this article, we have studied about the gram matrices and their associated gram spectrums of triangles, symmetric and regular tetrahedrons with triangle groups-Euclidean, Spherical and Hyperbolic. We have also classified the Coxeter Dihedral Symmetric (CDS) tetrahedrons with triangle groups-Spherical and Hyperbolic. Finally calculated the gram spectrums of CDS tetrahedrons with Triangle Groups-Spherical and Hyperbolic.