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:
“In front of these sinister facts, the first lesson of history is the good of evil. Good is a good doctor, but Bad is sometimes a better.”
—Ralph Waldo Emerson (1803–1882)
“Only the history of free peoples is worth our attention; the history of men under a despotism is merely a collection of anecdotes.”
—Sébastien-Roch Nicolas De Chamfort (1741–1794)
“The principle that human nature, in its psychological aspects, is nothing more than a product of history and given social relations removes all barriers to coercion and manipulation by the powerful.”
—Noam Chomsky (b. 1928)