Immanentizing the Eschaton
and
Colorizing the Superlines
The above phrase "immanentizing the eschaton," from
The Illuminatus! Trilogy , might occur to some viewers
of Josefine Lyche's current Geometric Utopias art exhibit.
Some less esoteric geometry . . .
A Cayley superline of the Klein quadric in PG(5,2)
is actually a plane of the quadric. Any such plane can be
pictured as a set of seven partitions of an 8-set into four 2-sets,
with the partitions satisfying certain geometric conditions.
A prototypical example of such a set: the four-colored bricks
numbered 1 through 7 at left in the picture below.
The colored bricks above are from the four-color decomposition theorem .