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:
“Pity on the person who has become accustomed to seeing in necessity something arbitrary, who ascribes to the arbitrary some sort of reason, and even claims that following that sort of reason has religious value.”
—Johann Wolfgang Von Goethe (1749–1832)
“By intervening in the Vietnamese struggle the United States was attempting to fit its global strategies into a world of hillocks and hamlets, to reduce its majestic concerns for the containment of communism and the security of the Free World to a dimension where governments rose and fell as a result of arguments between two colonels’ wives.”
—Frances Fitzgerald (b. 1940)