5 papers
Counting Truchet Tile Balls
Thomas Fernique
This note explains how to count 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 consisting of fabricating the 3532 different soccer balls that can be obtained by randomly assembling the 32 pieces of a classic Telstar soccer ball…
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…
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…
Ammann Bars for Octagonal Tilings
Thomas Fernique, Carole Porrier
Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight lines with them while tiling forces non-periodicity. Only a few cases are known…