23 citations · 120 across the 28 of their papers we have counts for
33 papers
Counting Truchet Tile Balls
Thomas Fernique
A formula is established that counts the number of different balls that can be made by decorating the pentagons and hexagons of a classic football with Truchet-like patterns.
Telstar Balls Gone Wild
Thomas Fernique
We describe an artistic project involving the fabrication of each of the 1812 distinct footballs that can be obtained by rearranging the way the 32 panels of a classic Telstar ball…
How not to scramble a Rubik's cube
Thomas Fernique
We model the scrambling of a Rubik's cube by a Markov chain and introduce a stopping time which is a quite natural candidate to be a strong uniform time. This may pave the way…
On Dense Tetrahedra in Binary Sphere Packings
Thomas Fernique, Daria Pchelina
This paper considers the density of tetrahedra arising in a specific decomposition of packings of unequal spheres in . It aims to extend a bound obtained in 2D in the…
Square-Triangle Tilings: Lift & Flip to Sample?
Thomas Fernique, Olga Mikhailovna Sizova
We introduce an elementary transformation called flips on tilings by squares and triangles and conjecture that it connects any two tilings of the same region of the Euclidean plane…
Shield tilings
Thomas Fernique, Olga Mikhailovna Sizova
We provide a complete description of the edge-to-edge tilings with a regular triangle and a shield-shaped hexagon with no right angle. The case of a hexagon with a right angle is a…