| drag left/right | xz rotation |
| drag up/down | yz rotation |
| shift+drag left/right | xw rotation |
| shift+drag up/down | yw rotation |
| alt+shift+drag left/right | xy rotation |
| alt+shift+drag up/down | zw rotation |
| - | |
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See the marked intersections below? Those are edges of the hypercube. They trace out hyperbolas under rotation. |
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Rotations: