Arbitrary Dimension
- Point
- One example of an isometry group, applying in every dimension, is that generated by inversion in a point. An n-dimensional parallelepiped is an example of an object invariant under such an inversion.
Read more about this topic: Fixed Points Of Isometry Groups In Euclidean Space
Famous quotes containing the words arbitrary and/or dimension:
“You can’t be arbitrary about imposing your will when these people’s lives are at stake. Don’t you realize that? You speak as calmly as if you were saying “Pass the salt.” Aren’t you human? Are you made of ice?”
—Kurt Neumann (1906–1958)
“Le Corbusier was the sort of relentlessly rational intellectual that only France loves wholeheartedly, the logician who flies higher and higher in ever-decreasing circles until, with one last, utterly inevitable induction, he disappears up his own fundamental aperture and emerges in the fourth dimension as a needle-thin umber bird.”
—Tom Wolfe (b. 1931)