Perhaps the most commonly-studied oriented point lattice is the so-called north-east lattice which
orients each edge of 
in the direction of increasing coordinate-value. This type
of ordered lattice is central in a number of fields, e.g.,in oriented
percolation models within the field of discrete
percolation theory.
North-East Oriented Lattice
See also
Bond Percolation, Bootstrap Percolation, Continuum Percolation Theory, Percolation, Percolation Theory, Percolation Threshold, Site PercolationThis entry contributed by Christopher Stover
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References
Grimmett, G. Percolation, 2nd ed. Berlin: Springer-Verlag, 1999.Cite this as:
Stover, Christopher. "North-East Oriented Lattice." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/North-EastOrientedLattice.html