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Showing 2012 · math-phShow all
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math-ph2012★ 8 cited
Affine Wa(A4), Quaternions, and Decagonal Quasicrystals
Mehmet Koca, Nazife O. Koca, Ramazan Koc
We introduce a technique of projection onto the Coxeter plane of an arbitrary higher dimensional lattice described by the affine Coxeter group. The Coxeter plane is determined by t…
math-ph2012★ 1 cited
Quaterionic Construction of the W(F_4) Polytopes with Their Dual Polytopes and Branching under the Subgroups B(B_4) and W(B_3)*W(A_1)
Mehmet Koca, Mudhahir Al-Ajmi, Nazife Koca
4-dimensional polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group where the group elements and the vertices of the…