"You are everywhere and nowhere.
You melt into the crowd. Swipe your boarding pass
over the small red laser beam and hear its reassuring beep.
You board the plane and take your first-class seat.
You lift into the air."
— Ritter, Krysten. Retreat: A Novel (p. 260).
HarperCollins. Kindle Edition.
† "I've got this problem when I'm reading a book.
Know there's an ending, so I can't help but look."
* See this morning's Ritter post.
Related art —
From "Self-Dual Configurations and Regular Graphs" by H. S. M. Coxeter,
Bulletin of the American Mathematical Society, Vol. 56 (1950), pp. 413-455
For a related combinatorial configuration, take Oxbury's "16 lines"
to be the the 16 dots above and take the "8 points of intersection"
to be the four squares
234, 1234, 124, 24
23, 123, 12, 2
3, 13, 1, 0
34, 134, 14, 4
along with the four diamonds
234, 23, 3, 34
1234, 123, 13, 134
124, 12, 1, 14
24, 2, 0, 4.
Then each "line" is on two "points" and each "point" on
four "lines."
Note that these eight "points" — the four squares and the four diamonds
of Coxeter's figure — form the rows and columns of the following matrix:
| 234 | 1234 | 124 | 24 |
| 23 | 123 | 12 | 2 |
| 3 | 13 | 1 | 0 |
| 34 | 134 | 14 | 4 |
Related reading: Points with Parts .
From the January 2025
Bulletin of the American Mathematical Society :
Some background for the above article's conclusion —
For some related material . . .
Search for "Hudson Kummer Quartic" in Log24.
A song for Singer . . .
"I've got this problem when I'm reading a book
Know there's an ending, so I can't help but look"
— Early James, "I Got This Problem" lyrics
"You meet people on their plane of reality"
— White Lotus posture teacher, 2025
* For a rather different Klein space, click here.
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