4 papers
Quotient cohomology of certain 1- and 2-dimensional substitution tiling spaces
Enrico Paolo Bugarin, Franz Gähler
The quotient cohomology of tiling spaces is a topological invariant that relates a tiling space to one of its factors, viewed as topological dynamical systems. In particular, it is…
On Bravais colourings of cyclotomic integers with class number one
Enrico Paolo Bugarin
Given a Bravais colouring of planar modules $\M_n:=\Z[ξ_n]$, where is a primitive th root of unity, two important colour groups arise: the colour symmetry group , which…
On Bravais Colorings Associated with Periodic and Non-Periodic Crystals
Ma. Louise Antonette N. De Las Peñas, Enrico Paolo C. Bugarin
In this work, a theory of color symmetry is presented that extends the ideas of traditional theories of color symmetry for periodic crystals to apply to non-periodic crystals. The…
Perfect colourings of cyclotomic integers
E. P. Bugarin, M. L. A. N. de las Peñas, D. Frettlöh
Perfect colourings of the rings of cyclotomic integers with class number one are studied. It is shown that all colourings induced by ideals (q) are chirally perfect, and vice versa…