The location in the title is the opening scene of the new version
of "All Creatures Great and Small." The year in the title suggests
a look at (for instance) The Pentagram Papers.
A "support provided by" credit suggests some related images —
A Scotland-related post: The Blue Path and the Red Path
(Log24, Aug. 24, 2014).
Wendelboe's games included chess sets.
See as well a related purchase from further north on the same block.
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 . . .
Some background for the NotebookLM video "Tiles to Deep Space" —
See posts tagged Quantum Tesseract Theorem, Multiplane Structure,
and March 26-29, 2006.
(The diamond theorem on a 4×4 square array involves arbitrary
permutations of rows, columns, and quadrants. These structures
correspond to sets of four parallel hypercube faces, and other such
sets, though less easily pictured, might be used instead.)
For Red Riding Hood — Bandini in Vienna.
"Meanwhile, back in 1937 . . ." — Weyl in Vienna.
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Ratan Naval Tata was born on Dec. 28, 1937, in Bombay, now Mumbai, during the British Raj. His family belonged to the Parsi religion, a small Zoroastrian community that originated in Persia, fled persecution by the Muslim majority there centuries ago and found refuge in India. Mr. Tata became a leader of that community. — New York Times obituary on 9 October 2024 |
See also theta functions in this journal.
For those who prefer narratives to mathematics . . .
Tiger at the Fire Temple
The conclusion of a Hungarian political figure's obituary in
tonight's online New York Times, written by Clay Risen —
"A quietly religious man, he spent his last years translating
works dealing with Roman Catholic canon law."
This journal on the Hungarian's date of death, October 8,
a Sunday, dealt in part with the submission to Wikipedia of
the following brief article . . . and its prompt rejection.
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The Cullinane diamond theorem is a theorem
The theorem also explains symmetry properties of the Reference
1. Cullinane diamond theorem at |
Some quotations I prefer to Catholic canon law —
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Ludwig Wittgenstein,
97. Thought is surrounded by a halo. * See the post Wittgenstein's Diamond. Related language in Łukasiewicz (1937)—
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See as well Diamond Theory in 1937.
Click the above to search this journal for "Dead End."
In memory of a political figure who reportedly died on Sunday —
Note the approximate target of the holy nib.
Personally, I prefer To Catch a Thief —
“Breast or Thigh”?
" In 2017, Milioti appeared in the fourth season of
the sci-fi anthology show Black Mirror in the episode
"USS Callister" as Nanette Cole, a newly employed
game developer whose digital recreation becomes
trapped in a virtual simulator game.[16] "
16. Strause, Jackie (December 30, 2017).
"'Black Mirror': Cristin Milioti on Battling a "Misogynistic Bully"
in Empowering Space Epic". The Hollywood Reporter.
Retrieved June 22, 2021.
"If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”
— Henry David Thoreau
See as well this journal on the above Sundance photo date —
“We keep coming back and coming back
To the real: to the hotel instead of the hymns . . . .”
— Wallace Stevens, quoted in posts tagged Portal1937
Update of 12:35 PM ET the same day —
The above author reportedly died on August 22, 2009.
A check of that date in this journal yields . . .
A passage from the “Assumption” link target above, with a title
suggested by the preceding “Making Mathematics” piece —
Making Money: The Communist Connection
“He and his fellow monks were cut off from the rest of the world
during the second Sino-Japanese War, which lasted from 1937 to
1945. When hostilities ended, the monastery relocated to the
provincial capital of Chengdu, where the monks opened the
Institute of Chinese and Western Cultural Studies with a library
that eventually had 10,000 volumes.
Chengdu, the last stronghold of the Nationalist Party, was overrun
by Mao’s army on Christmas Day 1949. The Communists closed the
institute, confiscated the books and forced Winance and the other
monks to attend indoctrination sessions on Marxism.”
Another article by Wieschenberg might, to some, actually be worth $49 —
In memory of Ralph Winter and Barbara Windsor.
See also . . .
Personally, I prefer To Catch a Thief —
“Breast or Thigh”?
“If you have built castles in the air, your work need not be lost;
that is where they should be. Now put the foundations under them.”
— Henry David Thoreau
Between, or: Interality Illustrated (according to Sherald)
“We live in between the lines;
in between the cracks . . . .
That’s where the bonds are formed. ”
"We learned so much about singing from each other because you get to sort of be them for a second when you're shadowing them in harmony. It's like getting on an eagle and getting to see the world through that eagle's experience." Read more: https://www.springfieldspringfield.co.uk/ movie_script.php?movie=linda-ronstadt-the-sound-of-my-voice
See also Aguila de Oro.
Poet Wallace Stevens was born 140 years ago today.
For another 140, see Diamond Theory in 1937.
For some notes related to a Stevens poem from 1937,
see "arrowy, still strings" in this journal.
"The area is home to many artists and people who work in
the media, including many journalists, writers and professionals
working in film and television." — Wikipedia
Tusen takk to My Square Lady —
The title abbreviates* that of a collection of Wittgenstein's remarks:
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Ludwig Wittgenstein — Culture and Value Showing 20 results for spirit — page 18, rubble & finally a heap of ashes; but spirits will hover over the ashes. MS 107 229: page 18, Page 5 Only something supernatural can expre page 20, contemplating it from above in its†c flight.† page 21, spirit in which it is written.†f This spirit is, I believe, different from that of t page 21, and American civilization. The spirit of this civilization the expression of page 21, day†h fascism & socialism, is a spirit that is alien & uncongenial†i to the au page 21, he Page Break 9 can work in the spirit of the whole, and his strength can with page 21, straight for what is concrete. Which is chara page 22, danger in a long foreword is that the spirit of a book has to be evident in the book page 22, It is all one to me whether the typical weste page 23, a great temptation to want to make the spirit explicit. MS 109 204: 6-7.11.1930 Page page 23, readers that will be clear just from the fact page 28, Foggy day. Grey autumn haunts us. Laughter se page 42, If one wanted to characterize the essence of page 51, attention from what matters.) The Spirit puts what is essential, essential for y page 51, how far all this is exactly in the spirit of Kierkegaard.) MS 119 151: 22.10.1937 page 51, something feminine about this outlook?) MS 11 page 100, comfortable, clearer expression, but cannot b page 106, act otherwise."–Perhaps, though, one might s page 210, Page 7 †b function Page 7 †c from its Page **************************************************************** |
The above "spirit guide" was suggested by yesterday's post
on Knuth as Yoda and by the paper in today's previous post,
"Shadowhunter Tales."
This post's title, "CV," is from . . .
From a Log24 post of March 4, 2008 —
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SINGER, ISAAC:
"Sets forth his own aims in writing for children and laments
— An Annotated Listing of Criticism
"She returned the smile, then looked across the room to
— A Swiftly Tilting Planet,
For "the dimension of time," see A Fold in Time, Time Fold,
A Swiftly Tilting Planet is a fantasy for children |
Ibid. —
The pen's point:
John Trever, Albuquerque Journal, 2/29/08
Note the figure on the cover of National Review above —
A related figure from Pentagram Design —
See, more generally, Isaac Singer in this journal.
From the Web this morning —
A different 35-year wait:
A monograph of August 1976 —
Thirty-five years later, in a post of August 2011, "Coordinated Steps" —
"SEE HEAR READ" — Walt Disney Productions
Some other diamond-mine productions —
"It's not a lie if you believe it."
— Poster for "Operation Avalanche"
“We keep coming back and coming back
To the real: to the hotel instead of the hymns . . . .”
— Wallace Stevens, quoted in posts tagged Portal1937
The title is that of a presentation by Arnold Emch
at the 1928 International Congress of Mathematicians:
See also yesterday's "Emch as a Forerunner of S(5, 8, 24)."
Related material: Diamond Theory in 1937.
Further remarks: Christmas 2013 and the fact that
759 × 322,560 = the order of the large Mathieu group M24 .
The author of the review in the previous post, Dara Horn, supplies
below a midrash on "desmic," a term derived from the Greek desmé
( δέσμη: bundle, sheaf , or, in the mathematical sense, pencil —
French faisceau ), which is related to the term desmos , bond …
(The term "desmic," as noted earlier, is relevant to the structure of
Heidegger's Sternwürfel .)
The Horn midrash —
(The "medieval philosopher" here is not the remembered pre-Christian
Ben Sirah (Ecclesiasticus ) but the philosopher being read — Maimonides:
Guide for the Perplexed , 3:51.)
Here of course "that bond" may be interpreted as corresponding to the
Greek desmos above, thus also to the desmic structure of the
stellated octahedron, a sort of three-dimensional Star of David.
See "desmic" in this journal.
Today in History —
"On December 21, 1937, 'Snow White and the Seven Dwarfs'
premiered to a record-breaking audience at the Carthay Circle
Theatre in Los Angeles."
Related material: Today's previous post and the Red Book.
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