From a post of April 17, 2025 —
Some may interpret this as a chessboard, with the white bishops on
their home squares 39 and 36 and the black bishops on 33 and 30.
"I like to fold my magic carpet, after use,
in such a way as to superimpose
one part of the pattern upon another."
– Vladimir Nabokov in Speak, Memory
Four diamonds in a square and four squares in a diamond.
Nietzsche on Heraclitus —
For a transformation of these four diamonds and four squares to the
four columns and four rows of a square array, see a March 24 post.
Related drama — Holland Tale, Odious Evening Colors,
The Blue Monkey Diamond, and . . .
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"At the point of convergence by Octavio Paz, translated by Helen Lane
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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 .
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