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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
by javajosh 5y ago
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)
- zardo 5y ago>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.