Francis Oger

collaborators

3 papers

math.CO2025

A self-avoiding curve associated with sums of digits

Francis Oger

For each $n \in N^{*}$ , we write $s_{n} = (1, \dots, 1, 0)$ with $n$ times $1$ . For each $a \in N$ , we consider the binary representation $\left( a_{i}\right) _{i\in…

math.CO2025

Self-avoiding space-filling folding curves in dimension 3

Francis Oger

Various examples of folding curves in $R^{2}$ have been considered: dragons and other square curves, terdragons and other triangular curves, Peano-Gosper curves based on hexagons.…

math.CO2023

Coverings of the plane by self-avoiding curves which satisfy the local isomorphism property

Francis Oger

A self-avoiding plane-filling curve cannot be periodic, but we show that it can satisfy the local isomorphism property. We investigate three families of coverings of the plane by f…