127 citations · 430 across the 42 of their papers we have counts for
42 papers
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…
Icosahedral Tiling with Dodecahedral Structures
Mehmet Koca, Ramazan Koc, Nazife Ozdes Koca +1
Icosahedron and dodecahedron can be dissected into tetrahedral tiles projected from 3D-facets of the Delone polytopes representing the deep and shallow holes of the root lattice D_…
Prototiles and Tilings from Voronoi and Delone cells of the Root Lattice A_n
Nazife Ozdes Koca, Abeer Al-Siyabi, Mehmet Koca +1
We exploit the fact that two-dimensional facets of the Voronoi and Delone cells of the root lattice A_n in n-dimensional space are the identical rhombuses and equilateral triangles…
Explicit Construction of the Voronoi and Delaunay Cells of W(An) and W(Dn) Lattices and Their Facets
Mehmet Koca, Nazife Ozdes Koca, Abeer Al-Siyabi +1
Voronoi and Delaunay (Delone) cells of the root and weight lattices of the Coxeter-Weyl groups W(an) and W(dn) are constructed. The face centered cubic (fcc) and body centered cubi…