Talk:Hesse configuration

Also known as Young's geometry

Some sources refer to this object as Young's geometry, e.g. Finite Geometries by Shubin (2006) [1]. Apparently it's named after John Wesley Young. [2] I can't find an original source for Young, but many sources which use the name "Young's geometry" start from the finite affine plane axioms. Looking at the source here for Hesse, I see more of an algebraic approach. Not totally sure though since I can't read the German. Maybe this points to a subtle difference between the two terms?

Also probably worth noting Young's research somewhere. FionaLovesCats (talk) 19:18, 28 April 2023 (UTC)

I agree with including this name, but it would be good to track down a better source for why it has this name than a web page that says it "appears to be named for" one of many people named Young who wrote about geometry. I think there is a subtle difference in emphasis, but maybe not in mathematical content: as the Hesse configuration, it is generally understood that it can be a subset of the points and of the lines in a larger geometric space (such as the complex projective plane), but as Young's geometry, it is the whole space. —David Eppstein (talk) 21:17, 28 April 2023 (UTC)

I did find a reference to this configuration in the work of Young: Veblen & Young Projective Geometry 1910, p. 249. It's unclear to me whether this publication is the origin of the credit to Young or, if so, why Veblen is omitted. —David Eppstein (talk) 07:30, 29 April 2023 (UTC)