I think that adds up to 11. Tower defense is, in general terms, at least an 11 dimensional game.
I think tower defense works in 11 dimensions. Still fiddling with this number, and welcome comments. But td works in SPACE, 2 types of TIME (general time of SPACE and time for particular things in the space), 3 types of PLACE (places of towers, heroes, and static baddies), 2 types of MOVEMENT (which is dynamic places of heroes and baddies), and 3 dimensions for TOWERS (type, powers, and relationships).Tower dimensions are complex enough to be dealt with separately, or as a sub-dimensionality. TYPE may be for defense or offense. POWER deals with state of up- or down-grades of towers and the abilities that come from those states. RELATIONSHIP has to do with what changes are caused by a tower's proximity or distance to other towers, heroes, baddies, or other features.