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You are correct and I will expand:

A grid graph is also known as a lattice graph, in which the graph can be embedded in R^n with a regular tiling. A square grid that is shown in the post is yet a more specific type of lattice graph.[1]

Though the if one uses a square grid graph in which you move around from tile to tile, you are actually traversing the dual graph of the tiled visualization.[2]

[1]http://en.wikipedia.org/wiki/Lattice_graph [2]http://en.wikipedia.org/wiki/Dual_graph




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