History
Space groups in 2 dimensions are the 17 wallpaper groups which have been known for several centuries.
In 1879 Leonhard Sohncke listed the 65 space groups (sometimes called Sohncke space groups or chiral space groups) whose elements preserve the orientation. (In fact he listed 66 groups, but as Fyodorov and Schönflies both noticed two of them were really the same.) The space groups in 3 dimensions were first enumerated by Fyodorov (1891) (whose list had 2 omissions and one duplication), and shortly afterwards were independently enumerated by Schönflies (1891) (whose list had 4 omissions and one duplication). The correct list of 230 space groups was found by 1892 during correspondence between Fyodorov and Schönflies. Barlow (1894) later enumerated the groups with a different method, but managed to omit one group even though he already had the correct list of 230 groups from Fyodorov and Schönflies; the common claim that Barlow was unaware of their work is a myth. Burckhardt (1967) describes the history of the discovery of the space groups in detail.
Read more about this topic: Space Group
Famous quotes containing the word history:
“While the Republic has already acquired a history world-wide, America is still unsettled and unexplored. Like the English in New Holland, we live only on the shores of a continent even yet, and hardly know where the rivers come from which float our navy.”
—Henry David Thoreau (1817–1862)
“The history of mankind interests us only as it exhibits a steady gain of truth and right, in the incessant conflict which it records between the material and the moral nature.”
—Ralph Waldo Emerson (1803–1882)
“Man watches his history on the screen with apathy and an occasional passing flicker of horror or indignation.”
—Conor Cruise O’Brien (b. 1917)