I've noticed that since flatland and the planiverse are very different universes, this difference could apply just as well to 3D.
The planiverse is physically very similar to our universe, except with one less dimension. But flatland is physically very different.
Bionions and tetronians can move because we can push against the ground. We take hold of it (with gravity), swing our legs to move us along, and then let go. But how do flatlanders move? Either there's something there for them to push against, or the only way to accelerate is to lose mass.
I think there must be some kind of inherent friction in flatland, a bit like the aether, except you can hold on to it and pull youself along. This would hopefully make moving in flatland similar to walking in 3D.
Now what would our universe be like if space was filled of an aether like this? It's not the same as walking, because we're not confined to a plane. It's not the same as flying or being in space, because there's no way to stop. And it's not like swimming either, because that doesn't have the same "grabbing and pulling" motion. The only good analogy is to tetronions walking on the surface of a 4D planet.
What do you think?