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Build hexagonal lattice coverage

Hi All,

I'd like to make a hexagonal lattice (stored in a shapefile, ogr
coverage or postgis geometry). Is the general approach to make a
series of independent hexagons and place them in the plane such that
adjacent edges sit directly on top of each other? Or can one build a
mesh out of connected line segments? If it is the latter, how does one
associate a data value with each hexagon in the mesh? I'd like to
achieve something like the output of the hexbin package, but display
the result in ArcGIS or QGIS.

THK