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pretty much yeah based on our site model anyways...Well, i guess such lower-dimensional beings can move in higher-dimensional spaces, but they cannot move along all the axes of these higher-dimensional space.
dimensions are just 1-D axes stacked perpendicularly onto themselves. which means multiple 1-D intersections exists so... yeah.. In addition to what you said here, higher dimensional beings can also "pop in and out of sight" to lower dimensional ones.