In the "Flatness and Levitation" Section

[Jay]

Bob can scrape Fred's world against his wall, by moving it in 2 directions: up-down, and right left. I agree with that.

This is because Fred's world is 2d and is in contact with the wall on a plane, confined to planar movements.

You said Emily can move Bob's world in 4 directions, but it's only 3. His world is 3d, in contact with the tetra-wall on a realm, and confined to planar movements. She can only move his world up-down, right-left, and back-forth.

What fourth direction are you talking about, Alkaline?

[alkaline]

i was talking about right, left, back, and fourth - that's four directions, not four dimensions :-P It totals two dimensions of movement.

[Jay]

So then Bob can move Fred in 4 directions (up, down, right, left).

And Emily can move Bob in 6 (up, down, right, left, back, forth).

[alkaline]

well, in that page i was thinking of "swing" - yes, Bob can move fred up and down, but that would unhook his world from the nail it's hanging on. Bob can swing Fred in 2 directions, and Emily can swing Bob in 4.

[Jay]

Ok I see what you're saying.

In Fred's world, things can only swing in 2 directions from a hanging point, so Bob can only swing Fred's world in 2 directions on the 2d wall he's on.

In Bob's world, things can only swing in 4 directions from a hanging point, so Emily can only swing Bob's world in 4 directions on the 3d wall he's on.

[alkaline]

exactly. So does that need to be cleared up on the page (with more explanation) or was it just a misreading?

[Jay]

Maybe just a bit more explaining. Like, you could show Fred's world with two curved arrows to represent his two curved paths. And you could show Bob's world with four curved arrows to represent his four basic curved paths. Something like that.