A board game played on a grid of squares can naturally be extended into 3 dimensions as a grid of cubes. A grid of hexagons does not so analogously naturally extend to 3 dimensions, but it does to 4 dimensions as the 24-cell honeycomb.
What defines "naturally" is a matter of aesthetic (though one could incorporate group theory). Both the rhombic dodecahedron and the truncated octahedron could be considered 3 dimensional analogues of the hexagon for tessellating space.
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