3 papers
math.MG2020
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_…
math.MG2020
Icosahedral Polyhedra from D6 lattice and Danzer's ABCK tiling
Abeer Al-Siyabi, Nazife Ozdes Koca, Mehmet Koca
It is well known that the point group of the root lattice D_6 admits the icosahedral group as a maximal subgroup. The generators of the icosahedral group H_3, its roots and weights…
math.MG2018
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…