Abstract: Hexagonal circle patterns are introduced ... The relation of such patterns with an integrable system on the regular triangular lattice is established. A kind of a Bäcklund transformation for ...

The materials, hexagonal h-Lu 0.3 Y 0.7 MnO 3 and ... align in a way that minimizes their energy due to the triangular arrangement of the lattice. Lead author, instrument scientist Dr. Shinichiro ...

Since each cell has six neighbors, we decided to call it hexagonal rather than triangular. lattice.py This creates a lattice of arbitrary dimensions, filling it with -1 and 1 randomly. It also ...