4 citations · 8 across the 10 of their papers we have counts for
3 papers · 1 filter
Two-player Domino games
Benjamin Hellouin de Menibus, Rémi Pallen
We introduce a 2-player game played on an infinite grid, initially empty, where each player in turn chooses a vertex and colours it. The first player aims to create some pattern fr…
Sturmian and infinitely desubstitutable words accepted by an ω-automaton
Pierre Béaur, Benjamin Hellouin de Menibus
Given an -automaton and a set of substitutions, we look at which accepted words can also be defined through these substitutions, and in particular if there is at least one. We i…
The Domino problem is undecidable on every rhombus subshift
Benjamin Hellouin de Menibus, Victor H. Lutfalla, Camille Noûs
We extend the classical Domino problem to any tiling of rhombus-shaped tiles. For any subshift X of edge-to-edge rhombus tilings, such as the Penrose subshift, we prove that the as…