A Midrash For Friedkin — http://m759.net/wordpress/?s=SXSW .
A Midrash For Friedkin — http://m759.net/wordpress/?s=SXSW .
"Before time began . . . ." — Optimus Prime
I noticed this favicon on Sept. 18 (see post) at a publisher's webpage.
It turns out that it is not specific to the publisher, but rather to sites
hosted by Squarespace.com. For instance . . .
See also a post on Christmas Day, 2013.
Related material from the Sept. 18 post mentioned above —
Click the "timelessness" quote below for the "Bell, Book and Candle" scene
with Kim Novak and James Stewart atop the Flatiron Building.
"Before time began . . . ." — Optimus Prime
Former logo of the American
Mathematical Society —
Note the resemblance to
Harvard's Memorial Church.
A rather different four-column logo —
From Microsoft Copilot (with "Precise" setting)
on Dec. 18, 2023 —
How is the 1910 work of G. M. Conwell on PG(3,2) related to the Miracle Octad Generator of R. T. Curtis?
Searching for:
Searching for: Generating answers for you… The work of George M. Conwell on the finite projective 3-space PG(3,2) and the Miracle Octad Generator (MOG) of R. T. Curtis are both significant contributions to the field of combinatorial mathematics12. Conwell’s work on PG(3,2) provided a detailed study of the structure of this finite projective space1. On the other hand, the MOG is a tool for exploring the binary Golay code and its automorphism group M242. The connection between these two works lies in the underlying combinatorial structures they explore. The Rosenhain and Göpel tetrads, which are key structures in the finite geometry PG(3,2), play a significant role in the Curtis Miracle Octad Generator3. These structures provide a link between the finite geometric structures studied by Conwell and the combinatorial structures generated by the MOG3. For a more detailed understanding of this connection, I recommend checking out the resources mentioned in the references123. If you have any specific questions about the concepts in these works, feel free to ask! I’ll do my best to help. Learn more
5 archive.org
_________________________________________________________
__________________________________________________________
Here is a summary of the document:
Reference:
|
Correction:
"Subsets of four points in a projective 3-space" above is a Copilot error, and not
from the document being summarized. It should be "subsets of four points in an
affine 4-space."
The three favicons below may be interpreted
as logos representing "A-OK* Space."
"Fans can have the ultimate GAP Band experience
by visiting the members' childhood home and walking
the north Tulsa streets that gave the band its famous
name – Greenwood, Archer and Pine."
— https://www.travelok.com/music-trail/
itineraries/the-gap-band-hometown
*
See a Log24 search that includes earlier posts on “Redactedentity.”
Recent activity by that entity at the Encyclopedia of Mathematics:
As the above “recent changes” list notes, Redactedentity added
a new favicon section to Talk:EoM on December 7, 2020. Details —
The new section as it appeared later, with “Redactedentity”
replaced by “Mihir Narayanan” —
Update at 5:35 PM ET on Thursday, Dec. 10, 2020 —
User “Redactedentity” at Wikipedia is now user “Mihir Narayanan.”
“For the first thirty years of its history, Columbia was known as King’s College.”
— History of the University Identity
Hence the crown favicon—
“When people talk about the importance of the study of ‘symmetry’
in mathematics, physics, and elsewhere, they often make the mistake
of only paying attention to the symmetry groups. The structure you
actually have is not just a group (the abstract ‘symmetries’), but an
action of that group on some other object, the thing that has symmetries.”
— Peter Woit of Columbia on June 9, reviewing a Quanta Magazine article
* From earlier posts in this journal containing the title phrase.
From the American Mathematical Society homepage today —
From concinnitasproject.org —
"Concinnitas is the title of a portfolio of fine art prints. . . .
The portfolio draws its name from a word famously used
by the Renaissance scholar, artist, architect, and philosopher
Leon Battista Alberti (1404-1472) to connote the balance of
number, outline, and position (in essence, number, geometry,
and topology) that he believed characterize a beautiful work of art."
The favicon of the Concinnitas Project —
The structure of the Concinnitas favicon —
This structure is from page 15 of
"Diamond Theory," a 1976 preprint —
(Click to enlarge. Note the infinity favicon.)
" Indeed, one might say that it is possible (ahem ), in another world,
for this article to have been entitled, 'The modal logic of various
set-theoretic multiverse conceptions.' "
"… the leftist war on truth, the never-ending campaign
to recast objective fact as subjective and open to question."
— Kyle Smith in The New Criterion on March 18
"A sort of flint stone" —
See also the above six-part image in the previous post.
From IndieWire on November 11, 2016 —
"Bleecker Street has announced it has acquired
U.S. and select territory rights to 'The Man Who
Invented Christmas,' to be directed by Bharat
Nalluri. The film will start shooting next month
and is targeting a holiday 2017 release date."
This journal on November 11, 2016 —
On Christmas 2015, Log24 featured
the Bleecker Street favicon
in the post 'Dark Symbol.'
Here is the dark symbol again —
The apparent symbols for "times" and "plus"
in the above screenshot are, of course, icons for
browser functions. Readers who prefer the
fanciful may regard them instead as symbols for
"a gateway to another realm," that of number theory.
For the cocktail, see the following illustration, taken from
The New Yorker issue dated Sept. 12, 2016.
(The article accompanying the illustration is not recommended.)
* For more on the concept of "cocktail," search this journal for
Casablanca + Cocktail.
** For more on the concept of "damned," see Wikipedia on
the French group of writers and mathematicians that calls
itself Oulipo, and a recent novel by a member of that group.
From this morning's news, a cultural icon —
From November 18, 2015, four icons —
— the three favicons above, and the following:
"… Thursday morning at 7:30 a.m. at a hospice
in Danvers, Massachusetts."
Read more: http://www.rollingstone.com/music/news/
original-beastie-boys-member-john-berry-dead-at-52-20160519
From a search for Danvers in this journal, two quotations
for Stephen King fans …
"Danvers is a town in Essex County, Massachusetts, |
[CHORUS]
In a world gone mad it's hard to think right
Read more: Beastie Boys – In A World Gone Mad Lyrics
Illustrations: Thursday's 3:28 AM ET post and …
THE HOURGLASS CODE
(Sketch for a favicon)
Continued from Easter Sunday 2016 —
256×256 pixels, enlarged from 16×16
Related reporting from this evening's New York Times —
Clicking the above favicon will yield the cited Federation webpage.
In memory of acoustic engineer Norman C. Pickering, who reportedly
died at 99 on November 18 —
Two readings from that date …
Another biblical quote relevant to the Nov. 17–18 tab icons above —
"When you come to a nexus in the time flow…."
See as well the recent post Tab Icons from the Clearing —
For the late psychopharmacologist Joel Elkes and
the late songwriter P. F. Sloan —
" Inspired by the assassination of President John F. Kennedy
and other events, he wrote 'Eve of Destruction.'
He later said, 'I was arguing with this voice that seemed to
know the future of the world.' "
— Terence McArdle in last night's online Washington Post
See also Tuesday's posts Tab Icons from the Clearing —
— and, later, Meditation on an Icon:
The above image may be viewed
as a midrash on a picture by
the late Dr. Elkes —
"Bostrom has a reinvented man’s sense of lost time.
An only child, he grew up—as Niklas Boström—in
Helsingborg, on the southern coast of Sweden.
Like many exceptionally bright children, he hated
school, and as a teen-ager he developed a listless,
romantic persona. In 1989, he wandered into a library
and stumbled onto an anthology of nineteenth-century
German philosophy, containing works by Nietzsche
and Schopenhauer. He read it in a nearby forest, in
a clearing that he often visited to think and to write
poetry, and experienced a euphoric insight into the
possibilities of learning and achievement. 'It’s hard to
convey in words what that was like,' Bostrom told me…."
— Raffi Khatchadourian
Thanks to David Lavery for the following:
"Voilà! Stevens has managed to create out of nothing a palpable imaginative space, an interiority without material dimensions, replete with its own achieved and accomplished music. And in truth, in a world of Heisenbergian uncertainties and shifting star masses, it may be enough for the dizzying, ever-shifting merry-go-round of the Faustian mind simply to slow down and let itself come to rest, at least for the moment." — Paul Mariani, "God and the Imagination," Aug. 10, 1996 |
http://imagejournal.org/page/journal/articles/issue-18/mariani-essays
AP Today in History
Thought for the Day:
“I respect faith, but doubt is what
gives you an education.”
— Wilson Mizner,
American playwright (1876-1933)*
From this journal on the (wide) release date
of "X-Men: First Class" —
A minimalist 3×3 matrix favicon—
This may, if one likes, be viewed as the "nothing"
present at the Creation. See Jim Holt on physics.
* A source —
See the Field
“There have long been rumors of a mythical Ninth Element
that grants ultimate power to the Wizard who masters it.
The Order of Magick says there is no such thing. But….”
— Website of Magicka: The Ninth Element Novel
William Worthy in Beijing —
This journal on the date of Worthy’s death,
May 4, 2014, had a link to…
Backstory—
Posts of October 24th—
Love Ghost and Versions—
and a version of Plan 9—
Related religious meditation—
Irresistible Grace, illustrated by The Girl in the Yellow Dress.
(The sequel to yesterday's Matrix Problem Reloaded)
Wikipedia on the sci-fi weblog io9.com—
Newitz explained the significance of the name "io9":
"Well, io9s are input-output devices that let you see into the future.
They're brain implants that were outlawed because they drove
anyone who used one insane. We totally made that (device) up
to name the blog."
— Jenna Wortham at wired.com, Jan. 2, 2008
From io9.com itself—
"Science fiction writer Ken MacLeod has another term for io9ers.
He calls them rapture fuckers.*"
For the relevance of the term "revolutions" in this post's title, see
Wikipedia on Ken MacLeod.
I prefer to associate the number 9 with The Holy Field.
* MacLeod used this phrase in one of his novels, Newton's Wake.
A physics quote relayed at Peter Woit's weblog today—
"The relation between 4D N=4 SYM and the 6D (2, 0) theory
is just like that between Darth Vader and the Emperor.
You see Darth Vader and you think 'Isn’t he just great?
How can anyone be greater than that? No way.'
Then you meet the Emperor."
Some related material from this weblog—
(See Big Apple and Columbia Film Theory)
The Meno Embedding:
Some related material from the Web—
See also uses of the word triality in mathematics. For instance…
A discussion of triality by Edward Witten—
Triality is in some sense the last of the exceptional isomorphisms,
and the role of triality for n = 6 thus makes it plausible that n = 6
is the maximum dimension for superconformal symmetry,
though I will not give a proof here.
— "Conformal Field Theory in Four and Six Dimensions"
and a discussion by Peter J. Cameron—
There are exactly two non-isomorphic ways
to partition the 4-subsets of a 9-set
into nine copies of AG(3,2).
Both admit 2-transitive groups.
— "The Klein Quadric and Triality"
Exercise: Is Witten's triality related to Cameron's?
(For some historical background, see the triality link from above
and Cameron's Klein Correspondence and Triality.)
Cameron applies his triality to the pure geometry of a 9-set.
For a 9-set viewed in the context of physics, see A Beginning—
From MIT Commencement Day, 2011— A symbol related to Apollo, to nine, and to "nothing"— A minimalist favicon—
This miniature 3×3 square— — may, if one likes, |
Happy April 1.
— Illustration by Neill Cameron for his father, combinatorialist Peter J. Cameron
Illustration by Nao of the Japanese (and Chinese) character for "field"—
Related material—
Finitegeometry.org favicon from February 24, 2012—
Dick Tufeld, Robot Voice in TV’s ‘Lost in Space,’ Dies at 85
Wed Jan 25, 2012 23:42 from NYT Obituaries By Bruce Weber
"Mr. Tufeld possessed one of Hollywood’s most often-heard
disembodied voices, especially from the 1950s through the 1970s."
Grace and Abstraction
Paul Motian, Drummer, Composer and Bandleader, Dies at 80
Tue Nov 22, 2011 20:54 from NYT > Obituaries
Mr. Motian, a drummer, bandleader, and composer of grace and abstraction,
was one of the most influential jazz musicians of the last 50 years.
"Buckle up!" — Harlan Kane, in the spirit of strategic stupidity.
In memory of the man who
"looked after all the college and cathedral bells in Oxford."
Frank White
Wed Oct 12, 2011 12:55 PM EDT Head of England's oldest continuously trading |
From MIT Commencement Day, 2011— A symbol related to Apollo, to nine, and to "nothing"— A minimalist favicon—
This miniature 3×3 square— — may, if one likes, |
An RSS item today—
Diamond squares Fri Aug 19, 2011 05:36 [EDT] from Peter Cameron
If you like Latin squares and such things, take a look at Diamond Geezer’s post for today: a pair of orthogonal Latin squares with two disjoint common transversals, and some entries given (if you do the harder puzzle). |
The post referred to—
"This Jack, joke, poor potsherd, ' patch, matchwood, immortal diamond,
Is immortal diamond." —Gerard Manley Hopkins, Society of Jesus
Those now celebrating the Catholic Church's "World Youth" week in Madrid
may prefer a related puzzle for younger and nimbler minds:
For St. Peter's Day
"For Stevens, the poem 'makes meanings of the rock.'
In the mind, 'its barrenness becomes a thousand things/
And so exists no more.' In fact, in a peculiar irony
that only a poet with Stevens's particular notion
of the imagination's function could develop,
the rock becomes the mind itself, shattered
into such diamond-faceted brilliance
that it encompasses all possibilities for human thought…."
—A discussion of Stevens's late poem "The Rock" (1954)
in Wallace Stevens: A World of Transforming Shapes,
by Alan D. Perlis, Bucknell University Press, 1976, p. 120
Related material on transforming shapes:
Today is Commencement Day at MIT.
“To measure the changes — Shing-Tung Yau, To measure the changes: The smartest are nothing: |
Well, perhaps not quite nothing.
The above pictures were posted here on the day the following book was published—
The lives of the nine Jews in the above book amount to more than Yau's "nothing."
Note, however, that claims by Jews (see Jill Abramson yesterday)
that their secular publications constitute a substitute for religion
and contain only "absolute truth" should be viewed with at least one
raised eyebrow.
Abramson's remark yesterday that her promotion to New York Times executive editor
was like "ascending to Valhalla" had a religious flavor worthy of yesterday's
Feast of the Ascension.
In related news from yesterday's Times—
See also a symbol related to Apollo, to nine, and to "nothing"—
A minimalist 3×3 matrix favicon—
This may, if one likes, be viewed as the "nothing"
present at the Creation. See Jim Holt on physics.
But leave the wise to wrangle, and with me
the quarrel of the universe let be;
and, in some corner of the hubbub couched,
make game of that which makes as much of thee.
Related material: Harvard Treasure, Favicon, and Crimson Tide.
The source of the mysterious generic
3×3 favicon with one green cell —
— has been identified.
For minimalists, here is a purer 3×3 matrix favicon—
This may, if one likes, be viewed as the "nothing"
present at the Creation. See Jim Holt on physics.
See also Visualizing GL(2,p), Coxeter and the Aleph, and Ayn Sof.
24 Frames
MOVIES: PAST, PRESENT AND FUTURE (LA Times )
"But what feels like standard movie exposition quickly takes
a sharp turn when we're feted with about 20 minutes of the
elemental and cosmic footage that's been making all the
headlines. At first it looks like it could be a depiction of heaven
or hell, but it soon becomes clear that it's a story of creation—
or of Creation, as some iteration of the Big Bang unfolds
before our eyes."
— "Cannes 2011: What Terrence Malick's 'The Tree of Life'
Is Actually About," by Steven Zeitchik of the LA Times
Hannibal Pictures
THE BIG BANG (Click for Cannes details.)
See Peter Woit's review from Sunday.
The generic 3×3 HannibalPictures.com
favicon has an apt connotation—
For the fictional Harvard symbologist Robert Langdon,
a commentary on the favicon in today's noon post—
This is from a novel that was filmed as "The Ninth Gate."
The book and film concern a series of nine engravings.
For all nine, see an excellent analysis by Michael S. Howard in
his journal "Gnostic Essays" on November 20, 2006.
A summary of the engravings—
See also this journal on that date.
From last October—
Friday, October 8, 2010
Starting Out in the Evening This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .
"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage." – "Is Fiction the Art of Lying?"* by Mario Vargas Llosa, * The Web version's title has a misprint— |
A stitch in time…
Related material—
See also "Putting Mental Health on the Map at Harvard"—
Harvard Crimson , Friday, April 8, 2011, 2:09 AM—
They're outside the Science Center with their signs, their cheer, and their smiles. They've been introducing themselves over House lists, and they want you to ask questions. They're here for you. They're the Student Mental Heath Liaisons.
Harvard's SMHL crew—they pronounce it smile—have recently launched a new website and recruited more members in their effort to foster an informed and understanding environment on campus….
Mental Health Services, SMHL said, are not meant for "students who are really 'crazy.'" Everyone is entitled to a little help smiling.
Another topic from today's newspaper —
Commentary —
"We're gonna need more holy water." — "Season of the Witch," a film that opened Friday
See also —
This morning's post Inception and the following site:
Note the ninefold favicon at the above site. Some background—
The Ninth Gate in yesterday's post and this image from last September—
What's wrong with this picture?
Google News today—
Midrash on what's wrong—
Related material from August 29—
Camp Germania
(Click for Source)
Related material from Camp Germania—
For a Festschrift on his eightieth birthday, she [Hannah Arendt] wrote “the storm that blows through Heidegger's work—like the one which blows across centuries against it from Plato's works—does not stem from this century.” And from her first book—on the idea of love in St. Augustine—to her last, she chose a much different path. While her public remarks were full of praise, her private ones were less so. After the war, Arendt, since married, returned to Germany and spent an uneasy afternoon with her former love and his resolutely anti-Semitic wife Elfriede. What she wrote of her experience was in her diary and was not published until after her death. This was not a diary entry like others she wrote: it was an animal fable called “Heidegger the Fox.” It begins, “Heidegger says proudly: ‘People say Heidegger is a fox.' This is the true story of Heidegger the fox.” She continued….
— "Being There," in Cabinet Magazine, Issue 25, Spring 2007
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