A tile spacing device and accompanying system and method are disclosed for spacing multiple tiles. In one embodiment, a central body has four arms extending therefrom with a releasably frangible connection. Each of the four arms has a cellular sheet structure defined by multiple cells, including at least one hexagonal cell. The central body and the four arms provide a four-tile engagement configuration. By selectively breaking and removing an arm, a three-tile engagement configuration may also be provided.