9 citations · 17 across the 3 of their papers we have counts for
3 papers
math.CO2026
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…
math.MG2018★ 8 cited
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…
math-ph2014★ 9 cited
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…