Rotations In 4-dimensional Euclidean Space
In mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO(4). The name comes from the fact that it is (isomorphic to) the special orthogonal group of order 4.
In this article rotation means rotational displacement. For the sake of uniqueness rotation angles are assumed to be in the segment except where mentioned or clearly implied by the context otherwise.
Read more about Rotations In 4-dimensional Euclidean Space: Algebra of 4D Rotations
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“When my body leaves me
I’m lonesome for it.
but body
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and it’s lonesome to drift
above the space it
fills when it’s here.”
—Denise Levertov (b. 1923)