See as well . . .
http://www.walterkaufmann.com/articles/1970_Prologu_Ich_Du.pdf .
(Continued.)
“I need a photo opportunity, I want a shot at redemption.
Don’t want to end up a cartoon in a cartoon graveyard.”
— Paul Simon
A death on the date of the above New Yorker piece — Oct. 15, 2018 —
See as well the Pac-Man-like figures in today's previous post
as well as the Monday, Oct. 15, 2018, post "History at Bellevue."
For Harlan Kane
"This time-defying preservation of selves,
this dream of plenitude without loss,
is like a snow globe from heaven,
a vision of Eden before the expulsion."
— Judith Shulevitz on Siri Hustvedt in
The New York Times Sunday Book Review
of March 31, 2019, under the headline
"The Time of Her Life."
Edenic-plenitude-related material —
"Self-Blazon… of Edenic Plenitude"
(The Issuu text is taken from Speaking about Godard , by Kaja Silverman
and Harun Farocki, New York University Press, 1998, page 34.)
Preservation-of-selves-related material —
Other Latin squares (from October 2018) —
"This time-defying preservation of selves,
this dream of plenitude without loss,
is like a snow globe from heaven,
a vision of Eden before the expulsion.
Mathematically demonstrable
but emotionally impossible,
it’s dangled just in front of us
like a bauble we can’t have
but can’t stop reaching for."
— Judith Shulevitz on Siri Hustvedt in
The New York Times Sunday Book Review
of March 31, 2019, under the headline
"The Time of Her Life."
A different self-symbolizing bauble appeared in this journal on that Sunday.
A line for Letterman — "Bauble, Babel. Babel, Bauble."
From the subtitles of "Our Brand is Crisis" (2015) —
1357
01:07:58,242 –> 01:08:01,537
Uh, if you should feel something
during the interview, like an emotion…
1358
01:08:03,164 –> 01:08:07,251
If you have some tears,
could you just turn towards
1359
01:08:07,501 –> 01:08:08,836
the camera?
"Our Brand is Crisis" is set in La Paz, Bolivia. Related material —
L'Heureux* Meets Les Misérables
The above theater is named for a soldier who died on May 14, 2006.
Today’s birthday: George Lucas,
|
* "… whose novels wrestled with faith… " — NY Times obituary today
“Faith! Faith!” cried the husband.
“Look up to Heaven,
and resist the Wicked One!”
Correction — "Death has 'the whole spirit sparkling…'"
should be "Peace after death has 'the whole spirit sparkling….'"
The page number, 373, is a reference to Wallace Stevens:
Collected Poetry and Prose , Library of America, 1997.
See also the previous post, "Critical Invisibility."
From Gotay and Isenberg, "The Symplectization of Science,"
Gazette des Mathématiciens 54, 59-79 (1992):
"… what is the origin of the unusual name 'symplectic'? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure 'line complex group' the 'symplectic group.'
… the adjective 'symplectic' means 'plaited together' or 'woven.'
This is wonderfully apt…."
On "The Emperor's New Clothes" —
Andersen’s weavers, as one commentator points out, are merely insisting that “the value of their labor be recognized apart from its material embodiment.” The invisible cloth they weave may never manifest itself in material terms, but the description of its beauty (“as light as spiderwebs” and “exquisite”) turns it into one of the many wondrous objects found in Andersen’s fairy tales. It is that cloth that captivates us, making us do the imaginative work of seeing something beautiful even when it has no material reality. Deeply resonant with meaning and of rare aesthetic beauty—even if they never become real—the cloth and other wondrous objets d’art have attained a certain degree of critical invisibility. — Maria Tatar, The Annotated Hans Christian Andersen (W. W. Norton & Company, 2007). Kindle Edition. |
A check of an author cited in the previous post yields —
The cover illustration above is by Kay Nielsen . . .
"FROM 'EAST OF THE SUN AND WEST OF THE MOON'
('AND FLITTED AWAY AS FAR AS THEY COULD … '), 1914."
(Paris Review , December 3, 2015.)
See as well the April 1977 poem "Winter Tree" by Jon Lang and . . .
For Shakespeare's Birthday . . .
* Title from a 1960 French farce.
A miniature metaphoric midrash —
See the Snakes on a Plane image
from a post of March 15, 2019 . . .
Easter last year fell on April Fools' Day.
Midrash — The Log24 posts for April 2018.
Related material —
See also "Press Agent" in this journal and a post from Maundy Thursday,
the date of Sabinson's reported death . . .
Berlekamp reportedly died on Tuesday, April 9, 2019.
See as well this journal on that date, in posts now tagged
Berlekamp’s Game.
” There is a pleasantly discursive treatment
of Pontius Pilate’s unanswered question
‘What is truth?’ ”
— Coxeter, 1987, introduction to Trudeau’s
The Non-Euclidean Revolution
From a New York Times book review of a new novel about
Timothy Leary that was in the Times online on April 10 —
"Most of the novel resides in the perspective
of Fitzhugh Loney, one of Leary’s graduate students."
"A version of this article appears in print on ,
on Page 10 of the Sunday Book Review with the headline:
Strange Days."
For material about one of Leary's non -fictional grad students,
Ralph Metzner, see posts now tagged Metzner's Pi Day.
Related material —
The reported publication date of Searching for the Philosophers' Stone
was January 1, 2019.
A related search published here on that date:
* Title suggested by two of Ralph Metzner's titles,
The Expansion of Consciousness and The Unfolding Self .
The phrase "pattern recognition" in a news story about the
April 13 death of Princeton neuroscientist Charles Gross,
and yesterday's post about a fanciful "purloined diamond,"
suggest a review of a less fanciful diamond.
See also earlier posts tagged Fitch
and my own, much earlier and very
different, approach to such patterns —
The date of an article by the late Charles Gross —Dec. 21, 2011 . . .
. . . suggests a review of a post from that date:
See as well this journal on Marc Hauser in a post of
August 5, 2004 — "In the beginning was… the recursion?"
The interested reader can easily find the source of the above prose.
From yesterday's post Misère Play —
See as well a New York Times book review of the novel Point Omega .
(The Times 's "Wrinkle in Time" is the title of the review, not of the novel.)
Related material suggested by the publication date — March 27, 2014 —
of a novel titled Zero Sum Game —
The Crosswicks Curse Continues . . .
"There is such a thing as geometry."
— Saying adapted from a 1962 young-adult novel.
David Brooks in The New York Times Sunday Review today —
" 'In the deeps are the violence and terror of which psychology
has warned us,' Annie Dillard writes in 'Teaching a Stone to Talk.'
'But if you ride these monsters deeper down, if you drop with them
farther over the world’s rim, you find what our sciences cannot locate
or name, the substrate, the ocean or matrix or ether which buoys
the rest, which gives goodness its power for good, and evil its power
for evil, the unified field: our complex and inexplicable caring for
each other.' "
Annie Dillard on the legendary philosopher's stone —
“… if Holy the Firm is matter at its dullest, Aristotle’s materia prima ,
absolute zero, and since Holy the Firm is in touch with the Absolute
at base, then the circle is unbroken. And it is…. Holy the Firm is
in short the philosopher’s stone.”
See also "The Thing and I."
See too "Desperately Seeking Resonance"
and, for the Church of Synchronology, posts
on the above date — April 3, 2017.
See Karl Gerstner in this journal and posts from
the date of Gerstner's reported death —
New Year's Day, 2017.
Gerstner seems to have been forgotten in the
current Programmed Art exhibition at the Whitney.
Related material — See More Glass.
Details from the previous post —
"Some point in a high corner of the room" —
See as well Mysteries of Faith (Feb. 16, 2010).
From posts tagged Number Art —
From the novel Point Omega —
Related material for
Mathematics Awareness Month —
Also on 07/18/2015 —
"We render the compulsion harmless, and indeed useful,
by giving it the right to assert itself in a definite field.
We admit it into the transference as a playground…."
— Sigmund Freud, 1914, "Remembering, Repeating,
and Working-Through" (See "Expanding the Spielraum,"
Oct. 26, 2015, in this journal.)
An indefinite field —
A definite field —
See also "The Unfolding" in this journal.
"The architect, Peter Eisenman, was against
the information center. 'The world is too full of
information and here is a place without information.
That is what I wanted,' he told Spiegel Online.
'But as an architect you win some and you lose some.'"
See also Winsome Tribute (March 25, 2019) and
Gravedigger's Handbook (March 19, 2017).
* See as well a related phrase.
A later article about this same William Boyd —
"In the end, it’s this indifference on the part of the tastemakers
that makes Boyd’s project a worthy one, pointing as it does to
their ability to treat as real whatever they choose, and to deny
the reality of other things simply by redirecting their gaze."
Also on November 14, 2011 —
"It never occurred to me that someone could so explicitly reject
the core experience of something like Chartres."
— Christopher Alexander to Peter Eisenman, 1982
For a less dramatic core experience , see Hitchcock.
"If this weren't a public situation, I'd be tempted to get into this on a
psychiatric level." — Christopher Alexander to Peter Eisenman, 1982
Scene from the sequel to Unbreakable and Split —
Not to mention elevation .
"SH lays an array of selves, fictive and autobiographical,
over each other like transparencies, to reveal deeper patterns."
— Benjamin Evans in The Guardian , Sunday, March 10, 2019,
in a review of the new Siri Hustvedt novel Memories of the Future.
See also Self-Blazon and . . .
“At that instant he saw, in one blaze of light,
an image of unutterable conviction,
the reason why the artist works and lives
and has his being — the reward he seeks —
the only reward he really cares about,
without which there is nothing. It is to snare
the spirits of mankind in nets of magic,
to make his life prevail through his creation,
to wreak the vision of his life, the rude and painful
substance of his own experience, into the congruence
of blazing and enchanted images that are themselves
the core of life, the essential pattern whence
all other things proceed, the kernel of eternity.”
— Thomas Wolfe, Of Time and the River
* Title suggested by that of a Siri Hustvedt novel.
See also Blazon in this journal.
"This outer automorphism can be regarded as
the seed from which grow about half of the
sporadic simple groups…." — Noam Elkies
Closely related material —
The top two cells of the Curtis "heavy brick" are also
the key to the diamond-theorem correlation.
The previous post, "Dream of Plenitude," suggests . . .
"So here's to you, Nordstrom-Robinson . . . ."
"This time-defying preservation of selves,
this dream of plenitude without loss, is like
a snow globe from heaven, a vision of Eden
before the expulsion."
— Judith Shulevitz on Siri Hustvedt in
The New York Times online, March 26.
See also, in this journal, the dream of Edenic plenitude
in the March 20 post "Secret Characters."
"And the songs were most perfect at the level of the line,
embodying the terse and clever brilliance that exists
in the best country music."
— The New Yorker , Culture Desk
Postscript: Guy Clark, 1941-2016
By Ian Crouch, May 17, 2016
"To find me a bubble for the spirit level"
In lieu of an eternal blazon . . .
Posts now tagged Guy Clark Day.
(Clark reportedly died on Tuesday, May 17, 2016.)
"Them good old boys were drinking whiskey and rye…."
— Don McLean
The online New York Times this afternoon has an article on "the
preparatory cartoon for Raphael’s fresco 'The School of Athens.'"
Other preparatory cartoons:
The first New Yorker cover above is from a search for Hustvedt
in this journal. See the 2003 post "Art at the Vanishing Point."
"You said something about the significance of spaces between
elements being repeated. Not only the element itself being repeated,
but the space between. I'm very interested in the space between.
That is where we come together." — Peter Eisenman, 1982
https://www.parrhesiajournal.org/ Parrhesia No. 3 • 2007 • 22–32
(Up) Against the (In) Between: Interstitial Spatiality by Clare Blackburne Blackburne — www.parrhesiajournal.org 24 — "The excessive notion of espacement as the resurgent spatiality of that which is supposedly ‘without space’ (most notably, writing), alerts us to the highly dynamic nature of the interstice – a movement whose discontinuous and ‘aberrant’ nature requires further analysis." Blackburne — www.parrhesiajournal.org 25 — "Espacement also evokes the ambiguous figure of the interstice, and is related to the equally complex derridean notions of chora , différance , the trace and the supplement. Derrida’s reading of the Platonic chora in Chora L Works (a series of discussions with the architect Peter Eisenman) as something which defies the logics of non-contradiction and binarity, implies the internal heterogeneity and instability of all structures, neither ‘sensible’ nor ‘intelligible’ but a third genus which escapes conceptual capture.25 Crucially, chora , spacing, dissemination and différance are highly dynamic concepts, involving hybridity, an ongoing ‘corruption’ of categories, and a ‘bastard reasoning.’26 Derrida identification of différance in Margins of Philosophy , as an ‘unappropriable excess’ that operates through spacing as ‘the becoming-space of time or the becoming-time of space,’27 chimes with his description of chora as an ‘unidentifiable excess’ that is ‘the spacing which is the condition for everything to take place,’ opening up the interval as the plurivocity of writing in defiance of ‘origin’ and ‘essence.’28 In this unfolding of différance , spacing ‘insinuates into presence an interval,’29 again alerting us to the crucial role of the interstice in deconstruction, and, as Derrida observes in Positions , its impact as ‘a movement, a displacement that indicates an irreducible alterity’: ‘Spacing is the impossibility for an identity to be closed on itself, on the inside of its proper interiority, or on its coincidence with itself. The irreducibility of spacing is the irreducibility of the other.’30"
25. Quoted in Jeffrey Kipnis and Thomas Leeser, eds., 26. Ibid, 25.
27. Derrida, Margins of Philosophy. 28. Derrida, Chora L Works , 19 and 10. 29. Ibid, 203. 30. Derrida, Positions , 94. |
"Arnheim was a particularly important source
for Norway's principal architectural theorist,
Christian Norberg-Schulz."
— Andrew Peter Steen, University of Queensland
doctoral thesis, 2015
See
"Nine is a very powerful Nordic number."
— Katherine Neville, The Magic Circle
"You said something about the significance of spaces between
elements being repeated. Not only the element itself being repeated,
but the space between. I'm very interested in the space between.
That is where we come together." — Peter Eisenman, 1982
"A version of this article appears in print on ,
on Page 132 of T Magazine with the headline: Bodies in Motion."
See as well page 132 of the Queensland thesis pictured here yesterday
in light of the 2017 Page film "Flatliners."
For the late Robert Venturi, who reportedly died on Tuesday, Sept. 18, 2018.
See also The Venturi Manifesto (Log24, Sept. 22, 2018).
"The stars and galaxies seem static, eternal, or moving slowly
in deterministic patterns, becoming the background stage
on which we move. But if we could speed up the sequence,
we would see how dramatic and unpredictable this background
really is — an actor, director, script and stage all at once.
Moreover, it is a unified universe, a single unfolding event
of which we are an embedded part, a narrative of highly
dangerous and fine-tuned events, something more like
a detective thriller with many crimes and last-minute escapes
than the impersonal account of astronomy textbooks.
We are only just beginning to decipher the plot and figure out
the Cosmic Code, as Heinz Pagels puts it."
— Charles Jencks, The Architecture of the Jumping Universe :
A Polemic (How Complexity Science is Changing Architecture
and Culture), Academy Editions, 1995, rev. ed. 1997
"A Grand Unified Theory (GUT) is a model in particle physics…."
— Wikipedia
"Under the GUT symmetry operation these field components
transform into one another. The reason quantum particles
appear to have different properties in nature is that the unifying
symmetry is broken. The various gluons, quarks and leptons
are analogous to the facets of a cut diamond, which appear
differently according to the way the diamond is held but in
fact are all manifestations of the same underlying object."
— Heinz Pagels, Perfect Symmetry , Bantam paperback, 1986, p. 284
See also the recent post Multifaceted Narrative.
Finite Galois geometry with the underlying field the simplest one possible —
namely, the two-element field GF(2) — is a geometry of interstices :
For some less precise remarks, see the tags Interstice and Interality.
The rationalist motto "sincerity, order, logic and clarity" was quoted
by Charles Jencks in the previous post.
This post was suggested by some remarks from Queensland that
seem to exemplify these qualities —
"Cell 461" quote from Curzio Malaparte superimposed on a scene from
the 1963 Godard film "Le Mépris " ("Contempt") —
"The architecture… beomes closely linked to the script…."
Malaparte's cell number , 461, is somewhat less closely linked
to the phrase "eternal blazon" —
Irving was quoted here on Dec. 22, 2008 —
The Tale of
the Eternal Blazon
by Washington Irving
“Blazon meant originally a shield , and then
the heraldic bearings on a shield .
Later it was applied to the art of describing
or depicting heraldic bearings in the proper
manner; and finally the term came to signify
ostentatious display and also description or
record by words or other means . In Hamlet ,
Act I Sc. 5, the Ghost, while talking with
Prince Hamlet, says:
‘But this eternal blazon must not be
To ears of flesh and blood.’
Eternal blazon signifies revelation or description
of things pertaining to eternity .”
— Irving’s Sketch Book , p. 461
Update of 6:25 PM ET —
"Self-Blazon… of Edenic Plenitude"
(The Issuu text is taken from Speaking about Godard , by Kaja Silverman
and Harun Farocki, New York University Press, 1998, page 34.)
Casa Malaparte, also known as Villa Malaparte —
Related film image with architectural quotation superimposed —
Related art prose —
"Composed in light of both Hiroshima and
Einstein’s general theory of relativity,
Dali’s crucifixion . . . ."
— "The Crucified God: A Death in Pictures,"
by Ed Simon, April 11, 2017,
http://marginalia.lareviewofbooks.org/…
See as well Log24, The Relativity Problem at Hiroshima (Dec. 3, 2018).
Related material —
Update of 4:36 PM ET from The Wall Street Journal —
__________________________________________________________
"You, Misirlou, are a dream of delight in the night.
To an oasis, sprinkled by stars above,
Heaven will guide us, Allah will bless our love."
The rest of the post "Sermon" referred to in yesterday's
St. Patrick's Day post "Just Another Block in the Wall" —
For Tom Stoppard, author of "Jumpers" —
"Seven is Heaven"
From a webpage of Bill Cherowitzo
" … the Fano plane ,
a set of seven points
grouped into seven lines
that has been called
'the combinatorialist’s coat of arms.' "
— Blake Stacey in a March 14 post
"Watch the trailer." — This journal on Eliza Doolittle Day, 2012.
Midrash — March 14 remarks on geometry from Christchurch, New Zealand —
"Here, modernism is defined as an autonomous body
of ideas, having little or no outward reference, placing
considerable emphasis on formal aspects of the work
and maintaining a complicated—indeed, anxious—
rather than a naïve relationship with the day-to-day
world, which is the de facto view of a coherent group
of people, such as a professional or discipline-based
group that has a high sense of the seriousness and
value of what it is trying to achieve. This brisk definition…."
— Jeremy Gray, Plato's Ghost: The Modernist
Transformation of Mathematics , Princeton, 2008
"Even as the dominant modernist narrative was being written,
there were art historians who recognized that it was inaccurate.
The narrative was too focused on France . . . . Nor was it
correct to build the narrative so exclusively around formalism;
modernism was far messier, far more multifaceted than that."
— Jane Kallir, https://www.tabletmag.com/
jewish-arts-and-culture/visual-art-and-design/
269564/the-end-of-middle-class-art,
quoted here on the above date — Sept. 11, 2018.
From some related Log24 posts —
From a belated New York Times obituary this evening —
"Ms. Iglauer died on Feb. 13 at a hospital
in Sechelt, British Columbia. She was 101."
[Link added.]
† See also the previous two posts.
out of the horn of dreams of my own life
I wake again into the laughing child
The poet W. S. Merwin reportedly died today.
“Punctuation basically has to do with prose
and the printed word,” he said in the Paris Review
interview. “I came to feel that punctuation was like
nailing the words onto the page. Since I wanted
instead the movement and lightness of the spoken
word, one step toward that was to do away with
punctuation.”
— Margalit Fox in The New York Times
See as well Snakes (on a plane) in this journal.
Trinity Song —
"For ten years we've been on our own . . . ."
See as well a post of ten years ago: Angels, Demons, "Symbology"
Illuminati Song —
See also this journal on the "Illuminati Tinder" date, June 27, 2018.
Related material — Posts tagged QDOS.
Jude Law and a image from a 2013 film
by Lars von Trier starring Stacy Martin:
According to Wallace Stevens:
From Savage Logic— Sunday, March 15, 2009 5:24 PM The Origin of Change
A note on the figure
"Two things of opposite natures seem to depend
— Wallace Stevens, |
This post was suggested by the following passage —
" … the Fano plane ,
a set of seven points
grouped into seven lines
that has been called
'the combinatorialist’s coat of arms.' "
— Blake Stacey in a post with tomorrow's date:
… and by Stacey at another weblog, in a post dated Jan. 29, 2019, …
"(Yes, Bohr was the kind of guy who would choose
the yin-yang symbol as his coat of arms.)"
Yes, Stacey is the kind of guy who would casually dismiss
Bohr's coat of arms.
(See also Faust in Copenhagen in this journal)—
» more
An earlier post discussed other meanings for the commercial brand names
underlined above, but the brand name "Attribution" was omitted from that
earlier discussion.
Hence . . .
Related material — The un–attributed phrase "Concepts of Space"
in the previous post.
Attribution — The phrase was from the title of a book by Max Jammer.
A search in this journal for Jammer yields posts now tagged . . .
(See an example.) |
_____________________________________________________________
The 4×4 square may also be called the Galois Tesseract .
By analogy, the 4x4x4 cube may be called the Galois Hexeract .
See also "Overarching + Tesseract" in this journal. From the results
of that search, some context for the "inscape" of the previous post —
Foursquare, Inscape, Subway
Foursquare —
Inscape —
Subway —
Art installation, "Crystal Cult" by Josefine Lyche, at an Oslo subway station —
See also today's previous post.
"Back to the Future" and . . .
I prefer another presentation from the above
Universal Pictures date — June 28, 2018 —
Commemorating a talk given by Iain Aitchison
at Hiroshima a year ago today.
"I need a photo opportunity . . . ." — Paul Simon
The previous post, quoting a characterization of the R. T. Curtis
Miracle Octad Generator , describes it as a "hand calculator ."
Other views
A "natural diagram " —
A geometric object —
"And in this he showed me something small,
no bigger than a hazelnut,
lying in the palm of my hand,
and I perceived that it was round as any ball.
I looked at it and thought: What can this be?
And I was given this general answer:
It is everything which is made. I was amazed
that it could last, for I thought that it was so little
that it could suddenly fall into nothing."
From some 1949 remarks of Weyl— "The relativity problem is one of central significance throughout geometry and algebra and has been recognized as such by the mathematicians at an early time." — Hermann Weyl, "Relativity Theory as a Stimulus in Mathematical Research," Proceedings of the American Philosophical Society , Vol. 93, No. 7, Theory of Relativity in Contemporary Science: Papers Read at the Celebration of the Seventieth Birthday of Professor Albert Einstein in Princeton, March 19, 1949 (Dec. 30, 1949), pp. 535-541 Weyl in 1946—: "This is the relativity problem: to fix objectively a class of equivalent coordinatizations and to ascertain the group of transformations S mediating between them." — Hermann Weyl, The Classical Groups , Princeton University Press, 1946, p. 16 |
For some context, see Relativity Problem in this journal.
In the case of PG(3,2), there is a choice of geometric models
to be coordinatized: two such models are the traditional
tetrahedral model long promoted by Burkard Polster, and
the square model of Steven H. Cullinane.
The above Wikipedia section tacitly (and unfairly) assumes that
the model being coordinatized is the tetrahedral model. For
coordinatization of the square model, see (for instance) the webpage
Finite Relativity.
For comparison of the two models, see a figure posted here on
May 21, 2014 —
Labeling the Tetrahedral Model (Click to enlarge) —
"Citation needed" —
The anonymous characters who often update the PG(3,2) Wikipedia article
probably would not consider my post of 2014, titled "The Tetrahedral
Model of PG(3,2)," a "reliable source."
For PSL(2,7), this is ((49-1)(49-7))/((7-1)(2))=168.
The group GL(3,2), also of order 168, acts naturally
on the set of seven cube-slicings below —
Another way to picture the seven natural slicings —
Application of the above images to picturing the
isomorphism of PSL(2,7) with GL(3,2) —
For a more detailed proof, see . . .
Today's announcement of the 2019 Pritzker Architecture Prize
to Arata Isozaki suggests a review.
Isozaki designed the Museum of Contemporary Art building
in Los Angeles in 1986.
A related article from May 19, 2010 —
An excerpt from the Walker article —
Throwback fun with Chermayeff and Geismar —
Other news published on May 19, 2010 —
See also "Character of Permanence" in this journal.
A Midrash for Wikipedia
Midrash —
Related material —
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