For a long time, scientists associated crystal structures with an ordered arrangement of atoms in a repeating lattice-like pattern, believing it to be the most stable configuration. However, by the ...

Just as no aperiodic two-dimensional tile exists, they supposed that no suitable three-dimensional block (or more complicated tile) exists, and so on in an arbitrarily large number of dimensions. This ...

Dynamical systems and aperiodic order constitute a vibrant research area that bridges rigorous mathematical theory and applications across physics, materials science and engineering. By investigating ...

(Nanowerk News) Standing at the intersection between mathematics and the tiler's trade is the so-called einstein problem. Despite its name, this mathematical question has nothing to do with the Nobel ...