From the American Mathematical Society (AMS) webpage today —

From the current *AMS Notices* —

Related material from a post of Aug. 6, 2014 —

*(Here "five point sets" should be "five-point sets.")*

From Gotay and Isenberg, “The Symplectization of Science,”

*Gazette des Mathématiciens* 54, 59-79 (1992):

“… what is the origin of the unusual name ‘symplectic’? ….

Its mathematical usage is due to Hermann Weyl who,

in an effort to avoid a certain semantic confusion, renamed

the then obscure ‘line complex group’ the ‘symplectic group.’

… the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’

This is wonderfully apt….”

The above *symplectic* structure* now appears in the figure

illustrating the diamond-theorem correlation in the webpage

Rosenhain and Göpel Tetrads in PG(3,2).

*** **The phrase as used here is a deliberate

*abuse of language *. For the real definition of

“symplectic structure,” see (for instance)

“Symplectic Geometry,” by Ana Cannas da Silva

(article written for *Handbook of Differential
Geometry *, Vol 2.) To establish that the above

figure is indeed

*symplectic*, see the post

Zero System of July 31, 2014.