Log24

Wednesday, April 16, 2025

Diamonds and Squares

Filed under: General — Tags: , , — m759 @ 10:14 am

A hypercube's parts as 4 diamonds and 4 squares

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.

Tuesday, April 1, 2025

Pieces of April . . .

Filed under: General — Tags: — m759 @ 12:00 am

For Red Riding Hood — Bandini in Vienna.

"Meanwhile, back in 1937 . . ." —  Weyl in Vienna.

Tuesday, March 25, 2025

Blazon Day:  Fields and Shields

Filed under: General — Tags: , , — m759 @ 3:07 pm

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.

Art Process

Filed under: General — Tags: , , — m759 @ 3:38 am

. . . and in 3 seconds.

Monday, March 24, 2025

Elegy in a Cartoon Graveyard

Filed under: General — Tags: , , , — m759 @ 4:05 pm

A Combinatorial Configuration

Filed under: General — Tags: , , , , — m759 @ 3:04 pm

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

Filed under: General — Tags: , , — m759 @ 4:58 pm

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*

Filed under: General — Tags: , — m759 @ 9:38 pm

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

Filed under: General — Tags: — m759 @ 1:53 pm

Good question.
 

Welcome to Klein Space*

Filed under: General — Tags: , — m759 @ 11:52 am

"You meet people on their plane of reality" 

— White Lotus posture teacher, 2025

* For a rather different Klein space, click here.

Tuesday, March 4, 2025

Brick-Space News

Filed under: General — Tags: , , , , — m759 @ 7:38 pm

Earlier in this  journal, a more abstract approach . . .

Klein Groups

Filed under: General — Tags: , , — m759 @ 12:38 pm

"Felix, Calvin . . . Calvin, Felix."

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