Building up a triangular lattice

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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

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

     * * * * * * *
    * * * * * * * *
     * * * * * * *
    * * * * * * * *

References

Triangular lattice entry in wikipedia