In 3D you have up-down, left-right, and forward-backwards. You can move in any of those directions independently of the other two by pushing in the appropriate direction.
In 4D you have another axis available, call it “uft-rown”. You can push and move in that direction just like any other, maintaining the same position in the other three axes. It’s “simply” go the direction that *isn’t* up-down, left-right, or front-back, or any combination of those three. It’s just nearly impossible for us to visualize that because we think in 3d.
The cube on the wiki page is rotating, not translating (moving in a straight line).
I think I’ve seen that video. The emphasis of it been that a person living in a 2D world cannot conceive of a 3rd dimension (as they’d have no concept of depth), and so person living from a 3D perspective would find it difficult to conceive a 4th dimension perspective.
Even if you choose to label time as the 4th dimension, an aspect of the above is being able to see multiple points of a lower dimension simultaneously.
Just like we move around. They can go forward and backwards, left and right, and up and down. Each of those direction pairs is a dimension, that is perpendicular (90deg angle) to all previous dimensions.
However, since they’re 4 dimensional beings, they can also move in a 4th direction that is perpendicular to all 3 previous dimensions. Since we exist in 3D space it’s basically impossible for us to visualize this, but to them it would be no different than the difference between up/down and left/right.
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