|
From a Google AI Mode search on Monday, April 27, 2026, for "space relations" "donald barr" prog trad Space Relations: A Slightly Gothic Interplanetary Tale is a science fiction novel written by Donald Barr and published in 1973. [1] The term “prog trad” in this context refers to the “progressive traditionalist” educational philosophy championed by Barr during his career as an educator. [2]
The Novel: Space Relations
|
Related material . . .
"Pray for the grace of accuracy." — Robert Lowell
From Snaith's pages 76 and 77 —
Compare and contrast . . .
Wikipedia on the numbers of cubies and facelets —
"The puzzle consists of 26 unique miniature cubes,
also known as 'cubies' or 'cubelets'."
"A 3 × 3 × 3 Rubik's Cube consists of 6 faces, each with
9 colored squares called facelets, for a total of 54 facelets."
The previous post — "Cube Space" — and today's date
suggest a review of the 13 symmetry axes of the cube.
Related geometry —
|
By NotebookLM today — Symmetry in Finite Geometry and Combinatorial Design The provided sources explore the mathematical and artistic intersections of finite geometry, specifically focusing on the Cullinane diamond theorem and its square-based representations of PG(3,2). By utilizing 4×4 and 4×6 arrays, these works illustrate how combinatorial designs, such as Latin squares and Miracle Octad Generators, relate to highly symmetric structures like the Mathieu group M24 and the binary Golay code. The texts demonstrate that properties of symmetry, such as the affine group AGL(4,2), govern both abstract group theory and visual patterns found in puzzles, quilt designs, and sphere packings. This framework extends into coding theory and quantum mechanics, where geometric "bricks" and "lines" help simplify the analysis of complex lattices and error-correcting systems. Ultimately, the collection bridges rigorous algebraic abstraction with interactive visualization, showing that the logic of finite space underpins both mathematical truth and aesthetic form. |
Theorem:
Some large natural symmetry groups of the sets of 8, 16, 32, or 64 points
in Euclidean space that are located at the vertices of a cube in 3, 4, 5. or 6
dimensions are generated by, respectively, arbitrary permutations of
parallel edges or parallel faces or parallel cubes or parallel hypercubes .
(For an example, see Diamond Theory in 1937.)
Illustration of related group actions:
The natural symmetry group of the 16 vertices of a tesseract
is generated by arbitrary permutations of parallel faces and
is of order 322,560.
(This is an abstract version of the Cullinane diamond theorem.)
For the corresponding cube theorem, see Cube Space.
Some backstory . . .
"The Accountant 3" —
Bonnie and Clyde with the Purloined Letter
Sunday Best: The link Sunday Art from the previous post.
Sunday Bester: The author Alfred Bester in this journal.
The date of the the above photo, November 8, 2015, suggests a look
at this journal on that date. See Sunday Art.
"kalosmi lokaksaya krt pravrddho"
Also on July 13, 2023 . . .
From the Publications webpage of Dan Gordon —
Math Databases on the Cheap,
lightning talk at LuCaNT, July 2023.
Background from 2022 —
Gordon's informative webpage on mathematical repositories:
https://ljcr.dmgordon.org/cwm/jupyter_book/math_repos.html.
See also ICERM in this journal on November 14, 2012.
Today's description of Dartmouth College as a "gin-soaked gutter"
by Margaret Soltan (i.e., University Diaries) suggests a review:
Monday, November 14, 2022
|
See also "KenKen" and today's previous post.
The Moolakaprithi Cube (as opposed to Rubik's Moola Cube ) —
"The key to these connections lies in a 3 x 3 x 3 cube, which
in Vedic Physics, forms the Moolaprakriti, a key component of
the Substratum, the invisible black hole form of matter."
— viXra.org, "Clifford Clock and the Moolakaprithi Cube"
* See Wikipedia.
|
Updated 8:18 PM EDT, Tue July 2, 2024 "Robert Towne, the Oscar-winning screenwriter of a number of acclaimed movies, including the classic 1974 noir thriller 'Chinatown' starring Jack Nicholson and Faye Dunaway, has died. He was 89 years old. The news was confirmed by Towne’s publicist Carri McClure, who said he died on Monday 'peacefully at home surrounded by his loving family.' No cause of death was provided. Towne won the Academy Award for best original screenplay for 'Chinatown,' which last month celebrated 50 years since being released." |
Related imagery . . .
Auster: The Music of Chance.
Austere: Iacta Est.
See also . . .
https://writing.upenn.edu/epc/authors/joris/todtnauberg.html
and Sternwürfel in this journal.
For St. Lucy's Day . . . Vide another post now tagged "Cube School."
Another approach to chaos within boundaries: The I Ching —
This afternoon's New York Times requiem by Ari L. Goldman for
"a scholar who wrestled with the interplay of tradition and modernity"
suggests a link to another such scholar I personally find more interesting . . .
Powered by WordPress
