* Star of "The Accountant" and "Hypnotic" . . .
** Vide other posts so tagged . . .
A midrash for Damon . . .

* Star of "The Accountant" and "Hypnotic" . . .
** Vide other posts so tagged . . .
A midrash for Damon . . .

"In my experience, every kind of writing requires
some kind of self-soothing Jedi mind trick, and,
when it comes to essay composition,
this rectangle is mine."
— Zadie Smith in The New Yorker, Sept. 22, 2025.
A mind trick that is perhaps less self-soothing —
The dimensional reduction above, from six affine dimensions over
GF(2) to four dimensions, is, like a similar reduction in the previous post,
done by considering only even-sized subsets, then considering as elements
only the boundaries between these subsets and their complements . . .
and the Galois (XOR) sums of those boundaties.
For those more intereted in geopolitics than in geometry, there is
a "Domino"-related post from Sept. 2, 2023, "Combinations."
For related material on the geometry of a 2×3 rectangular array —
a domino — see the previous post and also a search in this journal for attic .
From April 23, 2013, in
"Classical Geometry in Light of Galois Geometry"—
Click above image for some background from 1986.
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
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