Title of article :
Branching of the W(H4) polytopes and their dual polytopes under the coxeter groups W(A4) and W(H3) represented by quaternions
Author/Authors :
KOCA, Mehmet Sultan Qaboos University - College of Science - Department of Physics, OMAN , KOCA, Nazife Ozdes Sultan Qaboos University - College of Science - Department of Physics, OMAN , AL-AJMI, Mudhahir Sultan Qaboos University - College of Science - Department of Physics, OMAN
Abstract :
4-dimensional H4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(H4), where the group elements and the vertices of the polytopes are represented by quaternions. Projection of an arbitrary W(H4) orbit into three dimensions is made preserving the icosahedral subgroup W(H3) and the tetrahedral subgroup W(A3). The latter follows a branching under the Coxeter group W(A4). The dual polytopes of the semi-regular and quasi-regular H4 polytopes have been constructed
Keywords :
4D polytopes , dual polytopes , coxeter groups , quaternions , W(H4)
Journal title :
Turkish Journal of Physics
Journal title :
Turkish Journal of Physics
