In order, approximately, of increasing popularity:
Sean Scully, artist, whose work is the subject of
the recent book and exhibition, "The Shape of Ideas."
Vincent Scully, architectural historian at Yale.
Vincent Edward ("Vin") Scully, "Voice of the Dodgers"
8/2
* See Kipnis in this journal. For instance . . .
The trait of Derrida is mentioned also in
the paper from yesterday's Gefüge post.
Related material — The Eightfold Cube.
See also . . .
"… Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to
explain how art fits into our subject and what we mean by beauty."
— Sir Michael Atiyah, “The Art of Mathematics”
in the AMS Notices , January 2010
"Schufreider shows that a network of linguistic relations
is set up between Gestalt, Ge-stell, and Gefüge, on the
one hand, and Streit, Riß, and Fuge, on the other . . . ."
— From p. 14 of French Interpretations of Heidegger ,
edited by David Pettigrew and François Raffoul.
State U. of New York Press, Albany, 2008. (Links added.)
One such "network of linguistic relations" might arise from
a non-mathematician's attempt to describe the diamond theorem.
(The phrase "network of linguistic relations" appears also in
Derrida's remarks on Husserl's Origin of Geometry .)
For more about "a system of slots," see interality in this journal.
The source of the above prefatory remarks by editors Pettigrew and Raffoul —
"If there is a specific network that is set up in 'The Origin of the Work of Art,'
a set of structural relations framed in linguistic terms, it is between
Gestalt, Ge-stell and Gefüge, on the one hand, and Streit, Riß and Fuge,
on the other; between (as we might try to translate it)
configuration, frame-work and structure (system), on the one hand, and
strife, split (slit) and slot, on the other. On our view, these two sets go
hand in hand; which means, to connect them to one another, we will
have to think of the configuration of the rift (Gestalt/Riß) as taking place
in a frame-work of strife (Ge-stell/Streit) that is composed through a system
of slots (Gefüge/Fuge) or structured openings."
— Quotation from page 197 of Schufreider, Gregory (2008):
"Sticking Heidegger with a Stela: Lacoue-Labarthe, art and politics."
Pp. 187-214 in David Pettigrew & François Raffoul (eds.),
French Interpretations of Heidegger: An Exceptional Reception.
State University of New York Press, 2008.
Update at 5:14 AM ET Wednesday, August 3, 2022 —
See also "six-set" in this journal.
"There is such a thing as a six-set."
— Saying adapted from a 1962 young-adult novel.
From Log24 posts tagged Art Space —
From a paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
“The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader,
and Bernd Sturmfels —
Two such considerations —
The reference to Vallega-Neu in posts that last night were tagged
The Ereignis Sanction leads to . . .
Heidegger’s ‘Contributions to Philosophy.’ An Introduction .
(Indiana University Press, 2003).
That book is about . . .
Martin Heidegger, Contributions to Philosophy (From Enowning) ,
trans. Parvis Emad and Kenneth Maly (Bloomington:
Indiana University Press, 1999). German edition:
Beiträge zur Philosophie (vom Ereignis) ,
ed. F.-W. von Herrmann, Gesamtausgabe, vol. 65
(Frankfurt a. M.: Klostermann, 1989).
* See today's news and a Log24 search for "Philippine."
The posts of February 1, 2, and 3, 2020, have now
been tagged "The Ereignis Sanction."
"… the tesseract, identified with a figure too inclusive,
contradictory, and all-pervasive to be seen as a character,
connects multiple dimensions in a manner counter to
ordinary thought…."
— Catherine Flynn, "From Dowel to Tesseract" (2016)
|
A mnemonic from a course titled
“Traditionally, there are two modalities, namely,
|
For less rigorous remarks, search Log24 for Modal Diamond Box.
Or: The Sontag Puzzlement
Wikipedia on "Heavenly Creatures" —
"Juliet introduces Pauline to the idea of 'the Fourth World',
a Heaven without Christians where music and art are
celebrated. Juliet believes she will go there when she dies.
Certain actors and musicians have the status of saints in
this afterlife, such as singer Mario Lanza, with whom
both girls are obsessed."
Related material — Sontag + Camp .
(A sequel to the previous post — "To the Lighthouse")
From that same date . . .
|
Log24 on August 5, 2002 — "To really know a subject you've got to learn a bit of its history." — John Baez, August 4, 2002
"We both know what memories can bring; — Joan Baez, April 1975 "Venn considered three discs R, S, and T as typical subsets of a set U. The intersections of these discs and their complements divide U into 8 nonoverlapping regions." — History of Mathematics at St. Andrews "Who would not be rapt by the thought of such marvels?" — Saint Bonaventure on the Trinity |
"Who would not be rapt?" . . . Cristin Milioti? —
Midrash on Woolf for Reiner —
Illustrated! —
From a review of "The Resort" at another website —
"The phrase 'The attempt to recall your past
is a waste of time' is repeated throughout the series."
A waste of time? … Perhaps. In "The Resort," Milioti is drawn
into an investigation of fictional events from December 2007.
A check of my own memories from that December
may or may not be a waste of time, but it yields a
page from a book that I fondly recall . . .
The artist Jennifer Bartlett reportedly died at 81 on July 25.
An image excerpted from Log24 posts that were tagged
"Butterfly Song" on that date, with an added quotation from
a 1918 poem by Wallace Stevens —
|
OPINION DYNAMICS ON DISCOURSE SHEAVES By JAKOB HANSEN AND ROBERT GHRIST arXiv:2005.12798 (math) [Submitted on 26 May 2020] Funding: This work was funded by the Office of the Assistant Secretary of Defense Research & Engineering through a Vannevar Bush Faculty Fellowship, ONR N00014-16-1-2010. HANSEN — Department of Mathematics, University of Pennsylvania, Philadelphia, PA (jhansen@math.upenn.edu) GHRIST — Department of Mathematics and Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA (ghrist@math.upenn.edu) |
See as well this journal on the above date (26 May 2020) —
Related literary notes — On April 28 The New York Times
reported a death from the above date (Tuesday, April 26, 2022).
See a followup in the Times today on "New York literary royalty."
"So we beat on, boats against the current…" — F. Scott Fitzgerald
In memory of a political figure who reportedly died on Sunday —
Note the approximate target of the holy nib.
Modernism, Fiction and Mathematics
by Nina Engelhardt
(Edinburgh Critical Studies in Modernist Culture)
From a review by Johann A. Makowsky in
Notices of the American Mathematical Society,
November 2020, pp. 1589-1595 —
"Engelhardt’s goal in this study is to put the interplay
between fiction and mathematical conceptualizations
of the world into its historical context. She sees her work
as a beginning for further studies on the role of mathematics,
not only modern, in fiction in the wider field of literature and
science. It is fair to say that in her book Nina Engelhardt does
succeed in giving us an inspiring tour d’horizon of this interplay."
Another such tour —
On the title of Westworld Season 4 Episode 5, "Zhuangzi" —
A song for Teddy: "Across my dreams, with nets of wonder . . ."
See Zhuangzi also in the 2022 Black Rock CIty manifesto, "Waking Dreams" . . .
Some may prefer their own, less collective, manifestations.
Magic Mikes Continues:
"I get no kick from champagne…." — Cole Porter
See too another item with the BRC "Waking Dreams" date —
From the new URL mythspace.org, which forwards to . . .
http://m759.net/wordpress/?tag=mythspace —
|
From Middlemarch (1871-2), by George Eliot, Ch. III — "Dorothea by this time had looked deep into the ungauged reservoir of Mr. Casaubon's mind, seeing reflected there in vague labyrinthine extension every quality she herself brought; had opened much of her own experience to him, and had understood from him the scope of his great work, also of attractively labyrinthine extent. For he had been as instructive as Milton's 'affable archangel;' and with something of the archangelic manner he told her how he had undertaken to show (what indeed had been attempted before, but not with that thoroughness, justice of comparison, and effectiveness of arrangement at which Mr. Casaubon aimed) that all the mythical systems or erratic mythical fragments in the world were corruptions of a tradition originally revealed. Having once mastered the true position and taken a firm footing there, the vast field of mythical constructions became intelligible, nay, luminous with the reflected light of correspondences. But to gather in this great harvest of truth was no light or speedy work." |
See also the term correspondence in this journal.
Oxford University Press Blog
|
Note the above Oxford University Press date. Also on that date —
Tuesday September 29, 2009
|
"Is a puzzlement." — Oscar Hammerstein II
“Not games. Puzzles. Big difference. That’s a whole other matter.
All art — symphonies, architecture, novels — it’s all puzzles.
The fitting together of notes, the fitting together of words have
by their very nature a puzzle aspect. It’s the creation of form
out of chaos. And I believe in form.”
— Stephen Sondheim, in Stephen Schiff,
“Deconstructing Sondheim,”
The New Yorker, issue of March 8, 1993, p. 76
"When you come to a fork in the road, take it." — Yogi Berra
The Story Game —
Two players of interest . . .
Further combinatorial properties* of 24261120 may
be investigated with the aid of a 9×9 square grid, and
perhaps (eventually) also with its triangular counterpart —
.
* Cap sets, gerechte designs, etc.
"Sean Kelly, a wry master of literary and musical parodies
who helped infuse National Lampoon with the sharp-edged
and often crude humor it became known for, died on July 11
in Manhattan. He was 81."
— Richard Sandomir in the online New York Times today
This journal on July 11 —
Mark Zuckerberg at Harvard, May 25, 2017 —
"No one writes math formulas on glass. That’s not a thing."
Mosses from an Old Manse (Hawthorne Recycled)
Click the above image to enlarge it.
This lockscreen suggests happy memories of J3 . . .
From The New York Times this afternoon —
Transylvania III, a 1973 tapestry made of horsehair and goat hair.
Backstory —
“Somehow, a message had been lost on me. Groups act .
The elements of a group do not have to just sit there,
abstract and implacable; they can do things, they can
‘produce changes.’ In particular, groups arise
naturally as the symmetries of a set with structure.”
— Thomas W. Tucker, review of Lyndon’s Groups and Geometry
in The American Mathematical Monthly , Vol. 94, No. 4
(April 1987), pp. 392-394.
"…groups are invariably best studied through their action on some structure…."
— R. T. Curtis, “Symmetric Generation of the Higman-Sims Group” in
Journal of Algebra 171 (1995), pp. 567-586.
Related material — Other posts now tagged Groups Act.
"Oldenburg … died on Monday at his home and studio in
the Soho section of Manhattan." — Martha Schwendener, NYT
Some may prefer other concepts of shape. For instance …
… and, from Log24 on the above Yalebooks date —
Related material:
|
From "Higman- Sims Graph," a webpage by A. E. Brouwer — "Similar to the 15+35 construction of the Hoffman-Singleton graph is the 30+70 construction of the Higman-Sims graph. In the former the starting point was that the lines of PG(3,2) can be labeled with the triples in a 7-set such that lines meet when the corresponding triples have 1 element in common. This time we label the lines of PG(3,2) with the 4+4 splits of an 8-set, where intersecting lines correspond to splits with common refinement 2+2+2+2. Clearly, both descriptions of the lines of PG(3,2) are isomorphic. Take as vertices of the Higman-Sims graph the 15 points and 15 planes of PG(3,2) together with the 70 4-subsets of an 8-set. Join two 4-sets when they have 1 element in common. A 4-set determines a 4+4 split and hence a line in PG(3,2), and is adjacent to the points and planes incident with that line. A plane is adjacent to the nonincident points. This yields the Higman-Sims graph." |
See also PG(3,2) in this journal.
Her lips are pips
I call her hips
“Twirly” and “Whirly.”
(Pips are the dots on dice. The above "choose us" image in the form of a
St. Bridget's cross is from Twirly Industries, a sportswear maker in Pakistan.)
See as well a Polish poet's meditation
quoted here on St. Bridget's Day, 2012:
For the Lily of the title, see The New York Times online tonight
on the life of a socialite-philanthropist who reportedly died on
July 9, 2022.
Related art —
From a Toronto Star video on the Langlands program —
From a review of the 2017 film "Justice League" —
"Now all they need is to resurrect Superman (Henry Cavill),
stop Steppenwolf from reuniting his three Mother Cubes
(sure, whatever) and wrap things up in under two cinematic
hours (God bless)."
See also the 2018 film "Avengers of Justice: Farce Wars."
Also on April 1, 2015 —
From the essay cited above —
For the formula of building blocks , see Walsh series.
* See Google.
A New Yorker writer on why he wanted to
learn mathematics at an advanced age —
|
"The challenge, of course, especially in light of the collapsing horizon, since I was sixty-five when I started. Also, I wanted especially to study calculus because I never had. I didn’t even know what it was—I quit math after feeling that with Algebra II I had pressed my luck as far as I dared. Moreover, I wanted to study calculus because Amie told me that when she was a girl William Maxwell had asked her what she was studying, and when she said calculus he said, 'I loved calculus.' Maxwell would have been about the age I am now. He would have recently retired after forty years as an editor of fiction at The New Yorker , where he had handled such writers as Vladimir Nabokov, Eudora Welty, John Cheever, John Updike, Shirley Hazzard, and J. D. Salinger. When Salinger finished Catcher in the Rye , he drove to the Maxwells’ country house and read it to them on their porch. I grew up in a house on the same country road that Maxwell and his wife, Emily, lived on, and Maxwell was my father’s closest friend."
— Wilkinson, Alec. A Divine Language (p. 5). Published |
See as well two versions of
a very short story, "Turning Nine."
Wilkinson's title is of course deplorable.
Related material: "Night Hunt" in a
Log24 search for the phrase "Good Question."
"He feels responsible for her, and he can’t shake
the sense that she’s in danger and is out there in
the wilderness of the world."
— Rachel Kushner in a New Yorker interview
dated July 4, 2022, discussing a short story she wrote.
Some background for Kushner's phrase —
Previously on Log24:
"Tell it Skewb." — Motto adapted from Emily Dickinson.
On further investigation . . .
From the above Sanfilippo date —
In memory of an artist who reportedly died
on July 2, 2022, a tune has been added to
an image that was posted here on that date:
"The successful artist shares with the politician
a recurrent temptation to indulge in emotional claptrap.
Bernard Bosanquet in Three Lectures on Aesthetic (1915)
proposed that this urge to chase after tears or laughter
could be quelled by attaching the art-emotion to a particular object
and not a set of reactions. His consequent definition of art was
'feeling expressed for expression’s sake.' Notice, however, that
this is something only the deranged would dream of wanting in
real life. Our everyday expressions of feeling are spontaneous and
practical; they are never 'for expression’s sake.' By contrast,
aesthetic feeling is self-sufficient."
— David Bromwich in The Nation, July 11, 2022
A Particular Object —
"Tell it Skewb." — Motto adapted from Emily Dickinson.
The above title is from a July 1 review by Brent Simon of
the recent film "Code Name: Banshee."
Example of a narrative template —
The "He's a mad scientist and I'm his beautiful daughter" plot,
as in "Ant-Man" (2015) and in . . .
Plot twist —
From a New York Times obituary today —
By Robert D. McFadden
Francis X. Clines, a reporter, columnist and foreign correspondent
for The New York Times whose commentaries on the news and
lyrical profiles of ordinary New Yorkers were widely admired as a
stylish, literary form of journalism, died on Sunday at his home in
Manhattan. He was 84.
. . . .
As a national correspondent … he tracked political campaigns
and the Washington scene, taking occasional trips through the
hills and hollows of Appalachia to write of a largely hidden
Other America.
. . . .
From an Editorial Notebook piece by Clines in 2010 —
|
The sound of that student’s holler tale remains — how to say? — precious or cool or awesome, worthy of preserving. A good phrase was offered by Kathy Williams, the teacher who invited Dr. Hazen to deal with her students’ inferiority complex. She quoted her 93-year-old grandmother’s version of “cool!” “Grandma Glenna always says, ‘Forever more !’ ” “Forever more !” she shouted, offering the youngsters something old that sounded new. "A version of this article appears in print on Aug. 23, 2010, Section A, Page 22 of the New York edition with the headline: Say It Loud." |
From Piligrimage: The Book of the People by Zenna Henderson
(a 1961 collection, published by Doubleday, of earlier stories) —
But all things have to end, and I sat one May afternoon, staring into my top desk drawer, the last to be cleaned out, wondering what to do with the accumulation of useless things in it. But I wasn’t really seeing the contents of the drawer, I was concentrating on the great weary emptiness that pressed my shoulders down and weighted my mind. “It’s not fair,” I muttered aloud and illogically, "to show me Heaven and then snatch it away.” “That’s about what happened to Moses, too, you know.” My surprised start spilled an assortment of paper clips and thumb tacks from the battered box I had just picked up. “Well forevermore!” I said, righting the box. "Dr. Curtis! What are you doing here?” "Returning to the scene of my crime,” he smiled, coming through the open door. |
This is from Henderson's "Pottage," a story first published in 1955.
"Button your lip, baby, button your coat" — Song lyric
For Rivka Galchen, who discussed Benedict
in The New Yorker on Wednesday, July 6, 2022.
Alice illustration by Lily Padula . . .
Related material —
Category theory at The New Yorker :
/science/elements
/science
See Osterman and Brosterman.
Logline for Osterman Meets Brosterman! — See Super-8.
Today's date — "10" or one-zero — suggests a review of base-16
(hexadecimal) notation. In hexadecimal, "10" means 16.
See as well some other Geek Lore.
NY Times news with Google date
of May 30, 2022 (a Monday) —
(Forbes's actual date of death was Sunday, May 22, 2022.
See that date here in light of the May 30 remarks below.)
Also on May 30 —
"You can work in the undercroft." — Doctor Strange
A related geographical note —
See also "Swiftly Tilting Planet" in this journal.
See as well Oct. 12, 2018 (and, more generally, Volvo) in this journal.
Related material:
It is not clear whether the above acronym
should be pronounced "psycho" or "sicko."
From Dogma Part II: Amores Perros —
"It is night on the fourth of the curving terraces, high above the sea.
The stars are full out, known and unknown. Dante is halfway up the mountain….
It is half through the poem; half the whole is seen and said: hell, where grace
is not known but as a punishment; purgatory where grace and punishment are
two manners of one fact."
— Charles Williams, The Figure of Beatrice, Faber and Faber, 1943
See also Shining Forth.
A Companion Volume —
See as well this journal on the above publication date —
In memory of D. W. Crowe, dead on the Fourth of July.
Crowe's obituary describes him as . . .
"a geometer specializing in the study of symmetry
and patterns in primitive art."
See also Crowe in this journal.
Each of the above mappings is, in some sense, "natural."
Is there any general order-n natural square-to-triangle mapping?
See as well this journal
on the above tweet date — Oct. 1, 2020.
Royalist poetry —
Not so royalist —
"Can you imagine the mathematical possibilities?"
Illustration of the not-so-royalist line —
"Carey and Chad Hayes…
are successful screenwriters now."
The previous post, and a New York Times report today
of a June 15 death, suggest a review . . .
"As of 2022, it is the oldest web browser still being maintained,,,,"
"The speed benefits of text-only browsing are most apparent
when using low bandwidth internet connections, or older computer
hardware that may be slow to render image-heavy content."
— Wikipedia [“Older” link added.]
And then there is . . .
See as well the LYNX of Oslo artist Josefine Lyche.
Update of June 30, 2022 —
Lyche, whose art often incorporates mathematical notions,
has not yet, as far as I know, explored the Borromean link
(three rings, linked mutually but not pairwise) in her art.
Remarks by a different math fan, Evelyn Lamb —
"I have had a thing for the Borromean rings for years now.
There’s something so poetic about them. The three rings
are strong together, but they fall apart if any one of them
is removed. Alternatively, the three rings are trapped together
until one of them leaves and sets the others free. I’m kind of
surprised there isn’t a Wisława Szymborska poem or
Tom Stoppard play that explores the metaphorical possibilities
in the Borromean rings." — Scientific American , Sept. 30, 2016.
See also the Lamb date Sept. 30, 2016, as well as work
by Lyche, in Log24 posts tagged Star Cube.
Related material — The Log24 post Borromean Generators.
A song whose melody was used in
Westworld, Season 4, Episode 1 —
"Singin' in the old bars
Swingin' with the old stars
Livin' for the fame
Kissin' in the blue dark
Playin' pool and wild darts
Video games"
In memory of a video game executive
who reportedly died on June 22, 2022 —
* Adapted from a book title.
See as well Buranyi in the previous post and Pergamon in this journal.
"One of the most fascinating recent areas of research
is known as plasticity, which has shown that some
organisms have the potential to adapt more rapidly
and more radically than was once thought.
Descriptions of plasticity are startling, bringing to mind
the kinds of wild transformations you might expect to find
in comic books and science fiction movies."
— "Do we need a new theory of evolution?,"
The Guardian, June 28, 2022, by Stephen Buranyi
Cartoon version of George Eliot, author of Middlemarch ,
and Ada Lovelace, programming pioneer —
See as well an earlier vision of a data cube for mythologies
by Claude Lévi-Strauss —
Continued from April 12, 2022.
"It’s important, as art historian Reinhard Spieler has noted,
that after a brief, unproductive stay in Paris, circa 1907,
Kandinsky chose to paint in Munich. That’s where he formed
the Expressionist art group Der Blaue Reiter (The Blue Rider) —
and where he avoided having to deal with cubism."
— David Carrier,
Remarks by Louis Menand in The New Yorker today —
"The art world isn’t a fixed entity.
It’s continually being reconstituted
as new artistic styles emerge."
(Adapted from Encyclopaedia Britannica,
Eleventh Edition (1911), Crystallography .)
"Before time began, there was the Cube."
— Optimus Prime
See as well Verbum (February 18, 2017).
Related dramatic music —
"Westworld Season 4 begins at Hoover Dam,
with William looking to buy the famous landmark.
What does he consider to be 'stolen' data that is inside?"
"Westworld Season 4 begins at Hoover Dam, with William
looking to buy the famous landmark. What does he consider
to be 'stolen' data that is inside?"
For further details, see Log24 on May 16,
Sketch for a Magic Triangle.
For Monty Python —
"Glastonbury has been described as having a New Age community[6]
and possibly being where New Age beliefs originated at the turn of
the twentieth century.[7] It is notable for myths and legends often
related to Glastonbury Tor, concerning Joseph of Arimathea, the
Holy Grail and King Arthur." — Wikipedia
For American Democracy —
Related mockery from 2012 —
See also "Triangles Are Square" in 1984 —
Sunday, May 24, 2020
|
See as well this journal on October 14, 2009 . . .
the date of death for Bruce Wasserstein.
* "Leave a space." — "Jumpers," by Tom Stoppard
The above is a summary of
Pythagorean philosophy
reposted here on . . .
Battle of the Nutshells:
From a much larger nutshell
on the above Pythagorean date—
Now let's dig a bit deeper into history . . .
Fish are jumpin' and the heat dome is high.
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