7 papers
Self-avoiding and plane-filling properties for terdragons and other triangular folding curves
Francis Oger
We consider -folding triangular curves, or -folding t-curves, obtained by folding times a strip of paper in , each time possibly left then right or right then left, an…
Peano-Gosper curves and the local isomorphism property
Francis Oger
We consider unbounded curves without endpoints. Isomorphism is equivalence up to translation. Self-avoiding plane-filling curves cannot be periodic, but they can satisfy the local…
The number of paperfolding curves in a covering of the plane
Francis Oger
These results complete our paper in Hiroshima Mathematical Journal, vol. 42, pp. 37-75. Let C be a covering of the plane by disjoint complete folding curves which satisfies the loc…
Unfriendly or weakly unfriendly partitions of graphs
Francis Oger
For each infinite cardinal and each graph , we say that a partition is -unfriendly if, for each , $\left| \left\{ y\in…
Direct products and elementary equivalence of polycyclic-by-finite groups
Clement Lasserre, Francis Oger
We give an algebraic characterization of elementary equivalence for polycyclic-by-finite groups. Using this characterization, we investigate the relations between their elementary…
Tilings and associated relational structures
Francis Oger
In the present paper, as we did previously in [7], we investigate the relations between the geometric properties of tilings and the algebraic properties of associated relational st…