Integer Cech cohomology of icosahedral projection tilings
Integer Cech cohomology of icosahedral projection tilings
Abstract The integer Cech cohomology of canonical projection tilings of dimension three and codimension three is derived. These formulae are then evaluated for several icosahedral tilings known from the literature. Rather surprisingly, the cohomologies of all these tilings turn out to have torsion. This is the case even for the …