Algebra of 4D Rotations
SO(4) is commonly identified with the group of orientation-preserving isometric linear mappings of a 4D vector space with inner product over the reals onto itself.
With respect to an orthonormal basis in such a space SO(4) is represented as the group of real 4th-order orthogonal matrices with determinant +1.
Read more about this topic: Rotations In 4-dimensional Euclidean Space
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“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)