Building up a triangular lattice

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A triangular lattice

The triangular lattice is sometimes called hexagonal lattice, which may cause some confusion. It can be viewed as a skewed rectangular lattice. It surface density is

$\rho\sigma^2=\frac{2}{\sqrt{3}},$

where $\sigma$ is the distance between nodes of the lattice. The dual of this lattice is the honeycomb lattice.