127 citations · 375 across the 44 of their papers we have counts for
44 papers
Modified Mosseri-Sadoc tiles from
Rehab Al Raisi, Nazife Ozdes Koca, Mehmet Koca +1
A modified set of Mosseri-Sadoc (MS) tiles tessellating 3D Euclidean space with icosahedral symmetry is introduced. The new set of tiles are embedded in dodecahedron with a threefo…
Tiles from projections of the root and weight lattices of
Nazife Ozdes Koca, Mehmet Koca, Rehab Nasser Al Reasi
Main purpose of this work is to introduce a general technique of projection of the Voronoi tessellation of the weight lattice and apply it for the lattice . Th…
Affine subgroups of the affine Coxeter group with the same Coxeter number
Nazife Ozdes Koca, Mehmet Koca
Affine subgroups having the same Coxeter number with the affine Coxeter groups W(An), W(Dn), and W(En) are constructed by graph folding technique. The affine groups W(Cn) and W(Bn)…
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…
Dodecahedral Structures with Mosseri-Sadoc Tiles
Nazife Ozdes Koca, Ramazan Koc, Mehmet Koca +1
3D-facets of the Delone cells representing the deep and shallow holes of the root lattice D6 which tile the six-dimensional Euclidean space in an alternating order are projected in…