Add to ORKGWe define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. We show that, in each dimension 3 or greater, e-SL_2 -tilings exist only for certain choices of e. In the case that they exist, we show that they are essentially unique and have a concrete description in terms of odd Fibonacci numbers
In 1906 Axel Thue showed how to construct an infinite non-repetitive (or squarefree) word on an alph...
Dolbilin NP, Dress A, Huson DH. Two finiteness theorems for periodic tilings of d-dimensional euclid...
International audienceWe establish a structure theorem for the family of Ammann A2 tilings of the pl...
We define a family of generalizations of SL2-tilings to higher dimensions called epsilon-SL2-tilings...
We define a family of generalizations of SL2-tilings to higher dimensions called ϵ-SL2-tilings. We s...
Abstract. SL2-tilings were introduced by Assem, Reutenauer, and Smith in connection with frieses and...
Abstract. From the works of Rauzy and Thurston, we know how to construct (multiple) tilings of some ...
Extremal length is a conformal invariant that transfers naturally to the discrete setting, giving sq...
AbstractWe prove that there does not exist a tiling with Lee spheres of radius at least 2 in the 3-d...
AbstractGravier et al. proved [S. Gravier, M. Mollard, Ch. Payan, On the existence of three-dimensio...
AbstractWe will say that a tiling F has property M if two of its members have a common (n − 1)-dimen...
Let n ≥ 4 even and let Tn be the set of ribbon L-shaped n-ominoes. We study tiling problems for regi...
Abstract—We study necessary conditions for the existence of lattice tilings of Rn by quasi-crosses. ...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...
International audienceThe classical Domino problem asks whether there exists a tiling in which none ...
In 1906 Axel Thue showed how to construct an infinite non-repetitive (or squarefree) word on an alph...
Dolbilin NP, Dress A, Huson DH. Two finiteness theorems for periodic tilings of d-dimensional euclid...
International audienceWe establish a structure theorem for the family of Ammann A2 tilings of the pl...
We define a family of generalizations of SL2-tilings to higher dimensions called epsilon-SL2-tilings...
We define a family of generalizations of SL2-tilings to higher dimensions called ϵ-SL2-tilings. We s...
Abstract. SL2-tilings were introduced by Assem, Reutenauer, and Smith in connection with frieses and...
Abstract. From the works of Rauzy and Thurston, we know how to construct (multiple) tilings of some ...
Extremal length is a conformal invariant that transfers naturally to the discrete setting, giving sq...
AbstractWe prove that there does not exist a tiling with Lee spheres of radius at least 2 in the 3-d...
AbstractGravier et al. proved [S. Gravier, M. Mollard, Ch. Payan, On the existence of three-dimensio...
AbstractWe will say that a tiling F has property M if two of its members have a common (n − 1)-dimen...
Let n ≥ 4 even and let Tn be the set of ribbon L-shaped n-ominoes. We study tiling problems for regi...
Abstract—We study necessary conditions for the existence of lattice tilings of Rn by quasi-crosses. ...
AbstractWe give a new existence proof for the rank 2d even lattices usually called the Barnes–Wall l...
International audienceThe classical Domino problem asks whether there exists a tiling in which none ...
In 1906 Axel Thue showed how to construct an infinite non-repetitive (or squarefree) word on an alph...
Dolbilin NP, Dress A, Huson DH. Two finiteness theorems for periodic tilings of d-dimensional euclid...
International audienceWe establish a structure theorem for the family of Ammann A2 tilings of the pl...