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.
Wednesday, April 16, 2025
Diamonds and Squares
Tuesday, April 1, 2025
Pieces of April . . .
For Red Riding Hood — Bandini in Vienna.
"Meanwhile, back in 1937 . . ." — Weyl in Vienna.
Tuesday, March 25, 2025
Blazon Day: Fields and Shields
That title was suggested by an artist wielding her art like a shield
in this morning's post "Art Process," and by the four squares and
four diamonds of yesterday's post "A Combinatorial Configuration."
Related poetic meditation: "Blazoned Days" in this journal.
Monday, March 24, 2025
A Combinatorial Configuration
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 .
Monday, March 10, 2025
Face Planes Mindset Shift
A rather different planes solution from Log24 on March 7 —
See the illustrations in this journal on that date and . . .
"Note that in the Design Cube image above, the six faces are viewed
as suspended in space on three pairs of parallel planes, with the observer
viewing the parallel images only from the three directions front to back,
right to left, and top to bottom. In the WebSim row of six faces, the images
are pictured as they might be seen by an observer whose viewpoints vary
as he himself floats in space around the cube."
Related chrome art —
Wednesday, March 5, 2025
Meeting on a Plane of Reality*
The image of Stephansplatz in the previous post, from the
Instagram of Mia Bandini, suggests a reality-based article . . .
* "You meet people on their plane of reality"
— White Lotus posture teacher, 2025
Related time reality . . .
This journal on the date of the above article, 12/12/17 .
Coppola Family Values for Auntie Wow:
The Vocabulary Lesson
The Vocabulary Lesson
Welcome to Klein Space*
"You meet people on their plane of reality"
— White Lotus posture teacher, 2025
* For a rather different Klein space, click here.