127 citations · 430 across the 42 of their papers we have counts for
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Affine Dihedral Subgroups of Higher Dimensional Cubic Lattices and Quasicrystallography
Nazife Ozdes Koca, Mehmet Koca, Ramazan Koc +1
Quasicrystals described as the projections of higher dimensional cubic lattices, and the particular affine extensions of the dihedral group of order , being the…
From Affine to Affine : Group Theoretical Analysis of Five-fold Tilings
Nazife Ozdes Koca, Ramazan Koc, Mehmet Koca +1
The projections of the lattices, may be used as models of quasicrystals, and the particular affine extension of the symmetry as a subgroup of , discussed in the work, pr…
Group Theoretical Analysis of Quasicrystallography from Projections of Higher Dimensional Lattices Bn
Mehmet Koca, Nazife Ozdes Koca, Ramazan Koc
A group theoretical discussion on the hypercubic lattice described by the affine Coxeter-Weyl group Wa(Bn) has been presented. When the lattice is projected onto the Coxeter plane…
12-fold Quasicrystallography from affine F4, B6, and E6
Nazife O. Koca, Mehmet Koca, Ramazan Koc
One possible way to obtain the quasicrystallographic structures is the projections of the higher dimensional lattices into 2D or 3D subspaces. In this work we introduce a general t…
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…
Solution of the Bosonic and Algebraic Hamiltonians by using AIM
Ramazan Koc, Hayriye Tutunculer, Eser Olgar
We apply the notion of asymptotic iteration method (AIM) to determine eigenvalues of the bosonic Hamiltonians that include a wide class of quantum optical models. We consider solut…