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Another oddity: in 4D or higher, you cannot tie a knot - the rope can always become untied by shifting in a higher dimension and bypassing the obstruction.

You also can't tie a knot in 2D at all because you can't even cross the rope over itself.

So sailing in other-dimensioned universes will be very different!



Sailing is about tying knots around things. In 4D you can still tie a rope around a 2d plane, like we tie ropes around sticks.

I presume you can similarly tie knots in 'planes' with perhaps an even richer set of 'knots'.


Well, at least it would explain "sheet bend": the use of the word "sheet" to mean (some) rope must be an import from 4D seafaring!


You probably know this, but for the record: https://en.wikipedia.org/wiki/Sheet_(sailing)


You can tie a 2-knot (a sphere) in 4D.

And in general, an n-sphere knots in n+2 dimensions. You even get new kinds of knot moves in higher dimensions.


You can tie planes in a 4d knot




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