3 citations · 5 across the 3 of their papers we have counts for
5 papers
On the Fibonacci tiling and its modern ramifications
Michael Baake, Franz Gähler, Jan Mazáč
In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticip…
Orbit separation dimension as complexity measure for primitive inflation tilings
Michael Baake, Franz Gähler, Philipp Gohlke
Orbit separation dimension (OSD), previously introduced as amorphic complexity, is a powerful complexity measure for topological dynamical systems with pure-point spectrum. Here, w…
Fibonacci direct product variation tilings
Michael Baake, Franz Gähler, Jan Mazáč
The direct product of two Fibonacci tilings can be described as a genuine stone inflation rule with four prototiles. This rule admits various modifications, which lead to 48 differ…
Determining pure discrete spectrum for some self-affine tilings
Shigeki Akiyama, Franz Gaehler, Jeong-Yup Lee
By the algorithm implemented in the paper [2] by Akiyama-Lee and some of its predecessors, we have examined the pure discreteness of the spectrum for all irreducible Pisot substitu…
Integer Cech Cohomology of Icosahedral Projection Tilings
F. Gähler, J. Hunton, J. Kellendonk
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 k…