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Tinyboss is offline
Mar2-12, 10:33 PM
P: 234
Every rotation in 3 dimensions leaves a line through the origin unchanged, and we call it the "axis of rotation". It's true in all the higher odd dimensions as well, although in that case there may not be a single uniquely defined axis for a given rotation.

In even dimensions, most rotations do not fix any points (except for the origin, of course).