23 citations · 120 across the 28 of their papers we have counts for
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cs.DM2016★ 23 cited
Brun expansions of stepped surfaces
Valérie Berthé, Thomas Fernique
Dual maps have been introduced as a generalization to higher dimensions of word substitutions and free group morphisms. In this paper, we study the action of these dual maps on par…
math.CO2016★ 1 cited
Icosahedral Tilings Revisited
Nicolas Bédaride, Thomas Fernique
Icosahedral tilings, although non-periodic, are known to be characterized by their configurations of some finite size. This characterization has also been expressed in terms of a s…
math.DS2016★ 6 cited
Weak colored local rules for planar tilings
Thomas Fernique, Mathieu Sablik
A linear subspace of has colored local rules if there exists a finite set of decorated tiles whose tilings are digitizations of . The local rules are weak if…