Re:A mathematician's guided tour through higher dimensions
by javajosh on Tuesday September 21, 2021 @03:28PM
(#28608863)
Isn't that the definition of rotation, the "exchanging one dimension for another"? In 2-D it keeps a point invariant, in 3-D a line, and in N-D it keeps the N-1 object invariant. (Side note: the more basic operation is reflection, since you can get rotation from two reflections)
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Re:A mathematician's guided tour through higher dimensions
by zardo on Tuesday September 21, 2021 @05:07PM
(#28609971)
>Isn't that the definition of rotation, the "exchanging one dimension for another"?
Maybe? I think it allows solutions not typically considered to be rotations, like the special relativity example.