2 papers
math.GM2024
Ax, 3 polyominoes for tiling the plane non-periodically
Vincent Van Dongen, Pierre Gradit
How do people come up with new sets of tiles including new tile shapes that would only tile non-periodically? This paper presents our graphical journey in tilings and provides a ne…
math.MG2022
A self-ruling monotile for aperiodic tiling
Pierre Gradit, Vincent Van Dongen
Can the entire plane be paved with a single tile that forces aperiodicity? This is known as the ein Stein problem (in German, ein Stein means one tile). This paper presents a monot…