Talk:PG(3,2)

Sylvester ?

According to the section Construction from complete graph K₆, J. J. Sylvester contributed to the finite geometry PG(3,2) in 1859 with duads and synthemes. A relevant article may be "Note on determinants and duadic synthemes" in the 1879 American Journal of Mathematics 2(3): 14 to 22.(Jstor link). However, upon reading the article no relation to the finite geometry was detected. Perhaps a more perceptive reader/editor can justify this mention of Sylvester in this article. — Rgdboer (talk) 21:29, 18 September 2019 (UTC)

PG(4,2) and PG(5,2)

Any idea what PG(4,2) and PG(5,2) would look like? They are used to represent multiplications for the trigintaduonions and sexagintaquatronions, respectively, so I would be interested to know. LagrangianFox (talk) 19:11, 11 October 2024 (UTC)