See a search for "large Desargues configuration" in this journal.

The 6 Jan. 2015 preprint "Danzer's Configuration Revisited,"

by Boben, Gévay, and Pisanski, places this configuration,

which they call *the Cayley-Salmon configuration *, in the

interesting context of Pascal's *Hexagrammum Mysticum* .

They show how the Cayley-Salmon configuration is, in a sense,

dual to something they call *the Steiner-Plücker configuration* .

This duality appears implicitly in my note of April 26, 1986,

"Picturing the smallest projective 3-space." The six-sets at

the bottom of that note, together with Figures 3 and 4

of Boben *et. al. *, indicate how this works.

The duality was, as they note, previously described in 1898.

**Related material on six-set geometry from the classical literature—**

Baker, H. F., "Note II: On the *Hexagrammum Mysticum* of Pascal,"

in *Principles of Geometry *, Vol. II, Camb. U. Press, 1930, pp. 219-236

Richmond, H. W., "The Figure Formed from Six Points in Space of Four Dimensions,"

*Mathematische Annalen * (1900), Volume 53, Issue 1-2, pp 161-176

Richmond, H. W., "On the Figure of Six Points in Space of Four Dimensions,"

*Quarterly Journal of Pure and Applied Mathematics *, Vol. 31 (1900), pp. 125-160

**Related material on six-set geometry from a more recent source —**

Cullinane, Steven H., "Classical Geometry in Light of Galois Geometry," webpage