Question related to hexagonal partitions of cartographic/geographic space, hexagonal sampling systems and hexagonal rasters.

There are only three regular geometrical shapes capable of partitioning a plane in equal cells: the equilateral triangle, the square and the hexagon. Even though squares have historically been the preferred choice in GIS (particularly in raster data formats) hexagons present a number of advantages that justify its usage:

  • Higher compactness.

  • Unequivocal and isotropic neighbourhood.

  • Higher spatial resolution with same area cells.

  • Faster computation to/from the Fourier spectrum.

  • Fidel modelling of fluid dynamics.