Turkish Journal of Physics
Abstract
4-dimensional H_4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(H_4), where the group elements and the vertices of the polytopes are represented by quaternions. Projection of an arbitrary W(H_4) orbit into three dimensions is made preserving the icosahedral subgroup W(H_3) and the tetrahedral subgroup W(A_3). The latter follows a branching under the Coxeter group W(A_4). The dual polytopes of the semi-regular and quasi-regular H_4 polytopes have been constructed.
DOI
10.3906/fiz-1109-11
Keywords
4D polytopes, dual polytopes, coxeter groups, quaternions, W(H_4)
First Page
309
Last Page
333
Recommended Citation
KOCA, M, KOCA, N, & AL-AJMI, M (2012). Branching of the W(H_4) polytopes and their dual polytopes under the coxeter groups W(A_4) and W(H_3) represented by quaternions. Turkish Journal of Physics 36 (3): 309-333. https://doi.org/10.3906/fiz-1109-11
