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math.MG2025
Diffraction of the Hat and Spectre tilings and some of their relatives
Michael Baake, Franz Gähler, Jan MazÃ¡Ä +1
The diffraction spectra of the Hat and Spectre monotile tilings, which are known to be pure point, are derived and computed explicitly. This is done via model set representatives o…
math.DS2025
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…