$\mathbf{Aut}(\mathbf{F}_2)$ puzzles

Sylvain Barré (1) , Mikael Pichot (2)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique
2 UTokyo - The University of Tokyo

This paper defines a tiling problem related to the automorphism group of $\mathbf{F}_2$. Our main result is that the corresponding tilings admit a complete, concrete classification.

Domaines: Géométrie métrique [math.MG]

Sylvain Barré, Mikael Pichot. $\mathbf{Aut}(\mathbf{F}_2)$ puzzles. Geometriae Dedicata, 2019, 199 (1), pp.225-246. ⟨10.1007/s10711-018-0346-1⟩. ⟨hal-02508106⟩