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:
“America is, therefore the land of the future, where, in the ages that lie before us, the burden of the World’s history shall reveal itself. It is a land of desire for all those who are weary of the historical lumber-room of Old Europe.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“Indeed, the Englishman’s history of New England commences only when it ceases to be New France.”
—Henry David Thoreau (1817–1862)
“For a transitory enchanted moment man must have held his breath in the presence of this continent, compelled into an aesthetic contemplation he neither understood nor desired, face to face for the last time in history with something commensurate to his capacity for wonder.”
—F. Scott Fitzgerald (1896–1940)