"Don't want to end up a cartoon
In a cartoon graveyard"
— Paul Simon
Wednesday, March 27, 2019
The Level of the Line
"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"
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Tuesday, March 26, 2019
Line
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
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Preparatory Cartoons
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."
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Monday, March 25, 2019
Clark’s Wake
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Espacement
(Continued from the previous post.)
|
In-Between "Spacing" and the "Chôra " (Ch. 2 in Henk Oosterling & Ewa Plonowska Ziarek (Eds.), Intermedialities: Philosophy, Arts, Politics , Lexington Books, October 14, 2010) "The term 'spacing' ('espacement ') is absolutely central to Derrida's entire corpus, where it is indissociable from those of différance (characterized, in the text from 1968 bearing this name, as '[at once] spacing [and] temporizing' 1), writing (of which 'spacing' is said to be 'the fundamental property' 2) and deconstruction (with one of Derrida's last major texts, Le Toucher: Jean-Luc Nancy , specifying 'spacing ' to be 'the first word of any deconstruction' 3)." 1 Jacques Derrida, “La Différance,” in Marges – de la philosophie (Paris: Minuit, 1972), p. 14. Henceforth cited as D . 2 Jacques Derrida, “Freud and the Scene of Writing,” trans. A. Bass, in Writing and Difference (Chicago: University of Chicago Press, 1978), p. 217. Henceforth cited as FSW . 3 Jacques Derrida, Le Toucher, Jean-Luc Nancy (Paris: Galilée, 2000), p. 207. . . . . "… a particularly interesting point is made in this respect by the French philosopher, Michel Haar. After remarking that the force Derrida attributes to différance consists simply of the series of its effects, and is, for this reason, 'an indefinite process of substitutions or permutations,' Haar specifies that, for this process to be something other than a simple 'actualisation' lacking any real power of effectivity, it would need “a soubassement porteur ' – let’s say a 'conducting underlay' or 'conducting medium' which would not, however, be an absolute base, nor an 'origin' or 'cause.' If then, as Haar concludes, différance and spacing show themselves to belong to 'a pure Apollonism' 'haunted by the groundless ground,' which they lack and deprive themselves of,16 we can better understand both the threat posed by the 'figures' of space and the mother in the Timaeus and, as a result, Derrida’s insistent attempts to disqualify them. So great, it would seem, is the menace to différance that Derrida must, in a 'properly' apotropaic gesture, ward off these 'figures' of an archaic, chthonic, spatial matrix in any and all ways possible…." 16 Michel Haar, “Le jeu de Nietzsche dans Derrida,” Revue philosophique de la France et de l’Etranger 2 (1990): 207-227. . . . . … "The conclusion to be drawn from Democritus' conception of rhuthmos , as well as from Plato's conception of the chôra , is not, therefore, as Derrida would have it, that a differential field understood as an originary site of inscription would 'produce' the spatiality of space but, on the contrary, that 'differentiation in general' depends upon a certain 'spatial milieu' – what Haar would name a 'groundless ground' – revealed as such to be an 'in-between' more 'originary' than the play of differences it in-forms. As such, this conclusion obviously extends beyond Derrida's conception of 'spacing,' encompassing contemporary philosophy's continual privileging of temporization in its elaboration of a pre-ontological 'opening' – or, shall we say, 'in-between.' |
For permutations and a possible "groundless ground," see
the eightfold cube and group actions both on a set of eight
building blocks arranged in a cube (a "conducting base") and
on the set of seven natural interstices (espacements ) between
the blocks. Such group actions provide an elementary picture of
the isomorphism between the groups PSL(2,7) (acting on the
eight blocks) and GL(3,2) (acting on the seven interstices).
Espacements
For the Church of Synchronology —
See also, from the reported publication date of the above book
Intermedialities , the Log24 post Synchronicity.
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Sunday, March 24, 2019
Espacement: Geometry of the Interstice in Literary Theory
"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. |
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Saturday, March 23, 2019
Plan 9 Manifesto
"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
- "Field of Manifestation,"
- "A Study in Art Education," and
-
"The Concept of Phenomenology in Architecture as Developed
by the Norwegian Theorist Christian Norberg-Schulz"
"Nine is a very powerful Nordic number."
— Katherine Neville, The Magic Circle
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Another Typology
"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
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Friday, March 22, 2019
Page Number
"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."
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Architectural Theory
For the late Robert Venturi, who reportedly died on Tuesday, Sept. 18, 2018.
See also The Venturi Manifesto (Log24, Sept. 22, 2018).
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Charles Jencks’s Grand Unified Theory
"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.
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Thursday, March 21, 2019
Geometry of Interstices
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 —
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Wednesday, March 20, 2019
Secret Characters
"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.)
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Tuesday, March 19, 2019
Architectural Note
Casa Malaparte, also known as Villa Malaparte —
Related film image with architectural quotation superimposed —
Related art prose —
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Composed in Light
"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 —
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Monday, March 18, 2019
“Iacta Est” Continues.
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."
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Pulp Fictions
The rest of the post "Sermon" referred to in yesterday's
St. Patrick's Day post "Just Another Block in the Wall" —
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Sunday, March 17, 2019
Another Lying Rhyme…
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
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Easily
"Watch the trailer." — This journal on Eliza Doolittle Day, 2012.
Midrash — March 14 remarks on geometry from Christchurch, New Zealand —
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Just Another Block in the Wall
Yesterday's post Grundlagen —
Midrash on yesterday's Grundlagen —
A poem linked to here on the above "building blocks" date, in the
Log24 post Sermon of 11 AM ET Sunday, 15 September 2013 —
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Saturday, March 16, 2019
Multifaceted Narrative
"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 —
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Friday, March 15, 2019
Nailing Down the Words †
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.
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Unpunctuated
out of the horn of dreams of my own life
I wake again into the laughing child
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Punctuated
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.
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Trinity vs. Illuminati
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 —
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Networking
See also this journal on the "Illuminati Tinder" date, June 27, 2018.
Related material — Posts tagged QDOS.
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The Breach Report
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Thursday, March 14, 2019
Methods
Jude Law and a image from a 2013 film
by Lars von Trier starring Stacy Martin:
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Wednesday, March 13, 2019
The Origin of Change . . .
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
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Tuesday, March 12, 2019
Monday, March 11, 2019
Attribution
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.) |
_____________________________________________________________
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Ant-Man Meets Doctor Strange
The 4×4 square may also be called the Galois Tesseract .
By analogy, the 4x4x4 cube may be called the Galois Hexeract .
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Overarching Metanarratives
See also "Overarching + Tesseract" in this journal. From the results
of that search, some context for the "inscape" of the previous post —
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Sunday, March 10, 2019
Vocabulary for SXSW:
Foursquare, Inscape, Subway
Foursquare —
Inscape —
Subway —
Art installation, "Crystal Cult" by Josefine Lyche, at an Oslo subway station —
See also today's previous post.
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Saturday, March 9, 2019
Weapons of Mass Distraction
"Back to the Future" and . . .
I prefer another presentation from the above
Universal Pictures date — June 28, 2018 —
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The Hiroshima Model
Commemorating a talk given by Iain Aitchison
at Hiroshima a year ago today.
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Friday, March 8, 2019
Photo Opportunity
"I need a photo opportunity . . . ." — Paul Simon
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Thursday, March 7, 2019
In Reality
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 —
.
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Wednesday, March 6, 2019
More Things Considered
"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."
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The Relativity Problem and Burkard Polster
|
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."
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Tuesday, March 5, 2019
The Eightfold Cube and PSL(2,7)
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) —
.gif)
For a more detailed proof, see . . .
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Design Warmed Over
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.
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A Block Design 3-(16,4,1) as a Steiner Quadruple System:
A Midrash for Wikipedia
Midrash —
Related material —
________________________________________________________________________________
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Monday, March 4, 2019
Davos Logos
A less sophisticated approach to logos —
See also Logos in this journal.
For those who prefer Latin, there is Verbum.
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Sunday, March 3, 2019
Claves
See as well this journal on the above date — May 1, 2013 —
within a search for Law+Day+Harvard+Oprah+Uma.
I, like Freeman Dyson, prefer the fiction of Octavia Butler.
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Screen Icons:
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Requiem for an Architect
A story from the NY Times Sunday morning print edition —
"A version of this article appears in print on ,
on Page A1 of the New York edition with the headline:
Kevin Roche, 96, Is Dead; Famed Modernist Architect."
" When Mr. Roche received the Pritzker in 1982, he delivered
an acceptance speech that displayed both his capacity for
self-deprecating humor and his belief that architecture was
a noble pursuit. He quoted from a letter he had received
complaining that his work was 'moribund' and that the Pritzker
jury 'must be out of their minds' to have given him the prize.
He could only respond, he said, by asking: 'Is not the act of building
an act of faith in the future, and of hope? Hope that the testimony of
our civilization will be passed on to others, hope that what we are doing
is not only sane and useful and beautiful, but a clear and true reflection
of our own aspirations. And hope that it is an art, which will communicate
with the future and touch those generations as we ourselves have been
touched and moved by the past.' "
— Paul Goldberger
Goldberger on Roche's earlier career —
". . . He continued to finish projects Saarinen had started, including
the IBM Pavilion at the 1964 New York World’s Fair, designed
in collaboration with Charles Eames . . . ."
Illustration —
The IBM Pavilion at the 1964 World's Fair
See also the film "Tomorrowland."
"Bad news on the doorstep…." — American Pie
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Saturday, March 2, 2019
Fashion Story
A death last Sunday —
Meanwhile . . .
Amy Adams attends the 2019 Vanity Fair Oscar Party
at Wallis Annenberg Center for the Performing Arts on
Sunday, February 24, 2019, in Beverly Hills, California.
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Romancing the Heterojunction
(The date "September 25, 2002" in the opening of the Alferov video above
may or may not be correct. It will suffice for the Church of Synchronology.)
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Wikipedia Scholarship (Continued):
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Friday, March 1, 2019
Wikipedia Scholarship (Continued)
This post continues a post from yesterday on the square model of
PG(3,2) that apparently first appeared (presented as such*) in . . .
Cullinane, "Symmetry invariance in a diamond ring,"
Notices of the AMS , pp. A193-194, Feb. 1979.
Yesterday's Wikipedia presentation of the square model was today
revised by yet another anonymous author —
Revision history accounting for the above change from yesterday —
The jargon "rm OR" means "remove original research."
The added verbiage about block designs is a smokescreen having
nothing to do with the subject, which is square representation
of the 35 points and lines.
* The 35 squares, each consisting of four 4-element subsets, appeared earlier
in the Miracle Octad Generator (MOG) of R. T. Curtis (published in 1976).
They were not at that time presented as constituting a finite geometry,
either affine (AG(4,2)) or projective (PG(3,2)).
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Solomon and the Image
"Maybe an image is too strong
Or maybe is not strong enough."
— "Solomon and the Witch,"
by William Butler Yeats
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Thursday, February 28, 2019
Where Fashion Sits
The above reported death was on Sunday, Feb. 24.
See that date in other posts now tagged Hexengown.
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Previn’s Wake
A search for Previn in this journal yields . . .
"whyse Salmonson set his seel on a hexengown,"
Finnegans Wake , Book II, Episode 2, pp. 296-297
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Wikipedia Scholarship
Besides omitting the name Cullinane, the anonymous Wikipedia author
also omitted the step of representing the hypercube by a 4×4 array —
an array called in this journal a Galois tesseract.
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Fooling
The two books pictured above are From Discrete to Continuous ,
by Katherine Neal, and Geometrical Landscapes , by Amir Alexander.
Note: There is no Galois (i.e., finite) field with six elements, but
the theory of finite fields underlies applications of six-set geometry.
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Wednesday, February 27, 2019
Construction of PG(3,2) from K6
From this journal on April 23, 2013 —
From this journal in 2003 —
From Wikipedia on Groundhog Day, 2019 —
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Tuesday, February 26, 2019
Annals of Philology
"What kind of person bokehs an inscape?"
— Question adapted from the weblog Barefooted Philologists
An illustration (click to enlarge) —
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Axis of Anti-Evil?
"ACTUALLY HAPPENED!"
Wolff reportedly did on Sunday, Feb. 17.
For the Church of Synchronology —
Log24 posts on the reported date of Wolff's death.
Related Log24 post — Good News and Bad News.
Wolff himself, in a weblog post of Oct. 16, 2017,*
had some trenchant comments on religion . . .
See "How Odd of God." (See as well today's midnight
post in this journal, "Ghost in the Shell.")
* "Broomsday." See also Log24 posts on that date.
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Citation
Some related material in this journal — See a search for k6.gif.
Some related material from Harvard —
Elkies's "15 simple transpositions" clearly correspond to the 15 edges of
the complete graph K6 and to the 15 2-subsets of a 6-set.
For the connection to PG(3,2), see Finite Geometry of the Square and Cube.
The following "manifestation" of the 2-subsets of a 6-set might serve as
the desired Wikipedia citation —
See also the above 1986 construction of PG(3,2) from a 6-set
in the work of other authors in 1994 and 2002 . . .
-
Gonzalez-Dorrego, Maria R. (Maria del Rosario),
(16,6) Configurations and Geometry of Kummer Surfaces in P3.
American Mathematical Society, Providence, RI, 1994. -
Dolgachev, Igor, and Keum, JongHae,
"Birational Automorphisms of Quartic Hessian Surfaces."
Trans. Amer. Math. Soc. 354 (2002), 3031-3057.
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Monday, February 25, 2019
A Nervy Makeover is Born
The previous post suggests a review —
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Karaoke Specials
https://www.karaoke-lyrics.net/lyrics/brickell-edie/what-i-am-132251
See as well . . .
From a 2003 film —
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Social Networks
CCA as a fictional Communications Corporation of America —
CCA as a non-fictional Centre for Contemporary Art —
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The Sartwell Illusion
See Sartwell in this journal and . . .
"Read something that means something." — New Yorker motto.
From a search for Alperin in this journal —
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Sunday, February 24, 2019
Lost in Rashomon
" What this research implies is that we are not just hearing different 'stories'
about the electron, one of which may be true. Rather, there is one true story,
but it has many facets, seemingly in contradiction, just like in 'Rashomon.' "
— Edward Frenkel on "the Rashomon effect"
"Program or be programmed." — The Rushkoff Maxim
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Saturday, February 23, 2019
Code Rain
See 031105-code in this journal, the Wachowskis
at Wikipedia, and The Omega Matrix in this journal.
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Austrian Wins Kyoto Prize (Revisited)
For the title, see Schwarzenegger and "Clockwork Orange"
in the June 2005 post "All in the Timing."
Related music — Taps for Donen —
Donen reportedly died on Thursday.
See this journal on that day for a related
New York Times meditation.
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Eye-Popping Imagery and Consciousness as a Whole
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Hello Darkness*
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Friday, February 22, 2019
Back Issues of AMS Notices
From the online home page of the new March issue —
For instance . . .
Related material now at Wikipedia —
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Desperately Seeking Comedy
"I need a photo opportunity . . ." — Paul Simon
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Space Force
See also this journal on the above date — Feb. 28, 2018.
This post was suggested by a Crimson piece from yesterday —
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Happy Birthday, George Washington
The Manchurian Song —
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Annals of Entertainment
See also a post of August 8, 2018, "Annals of Phenomenology."
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Thursday, February 21, 2019
Gaslighting America
From The Atlantic September 2017 issue — "How America Lost Its Mind,"
by former Harvard Lampoon writer Kurt Andersen —
Note the accusing phrase "a suspicion of science and reason."
Related material by Andersen received in today's mail —
Note the accusing phrase "the cyanide in Donald Trump's Kool-Aid."
Related graphic design —
The source of the above cover art —
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A Tale of Eight Building Blocks*
* For another such tale, see Eightfold Cube in this journal.
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Frenkel on “the Rashomon Effect”
Earlier in Frenkel's above opinion piece —
"What this research implies is that we are not just hearing
different 'stories' about the electron, one of which may be
true. Rather, there is one true story, but it has many facets,
seemingly in contradiction, just like in 'Rashomon.'
There is really no escape from the mysterious — some
might say, mystical — nature of the quantum world."
See also a recent New Yorker version of the fashionable cocktail-party
phrase "the Rashomon effect."
For a different approach to the dictum "there is one true story, but
it has many facets," see . . .
"Read something that means something."
— New Yorker motto
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Wednesday, February 20, 2019
Wordsworth at the Academy
On this date four years ago . . .
Today . . .
In 2016 . . .
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Tuesday, February 19, 2019
Monday, February 18, 2019
For Times Square…
and the Church of Synchronology
The date of the Urban Dictionary "Joy of Six"
article in this afternoon's previous post was Oct. 15, 2016.
A check of that date in this journal yielded a post titled "Word and Object"
that featured an image of a sailor in Times Square.
Related material encountered later this afternoon —
From the "Word and Object" post —
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The Joy of Six
__________________________________________________________________________
See also the previous post.
I prefer the work of Josefine Lyche on the smallest perfect number/universe.
Context —
Lyche's Lynx760 installations and Vigeland's nearby Norwegian clusterfuck.
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Quantum Choreography
In the beginning of the 1954 film "Seven Brides for Seven Brothers,"
Adam, oldest of the brothers, is paired with Milly. The problem then is
to find brides for Adam's six brothers.
Above is a video illustration, published on Aug. 12, 2016, of the six couples.
Matching them involves some choreography.
See also this journal on Aug. 12, 2016 — "Dustbucket Physics" —
"… through the proposition machine of quantum mechanics
comes pregeometry; pregeometry makes geometry;
geometry gives rise to matter and the physical laws
and constants of the universe."
— Harvard professor Peter Galison,
defender of the faith of Scientism
For a different sort of quantum "proposition machine," see posts tagged
Dirac and Geometry.
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Sacerdotal K6, Continued
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Sunday, February 17, 2019
Sacerdotal K6
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For the Schoolgirls of 1959
The dies natalis of St. Buddy Holly was Feb. 3, 1959.
This year on Feb. 3, a geometric illustration of the well-known
schoolgirl problem was added to a brand-new Wikipedia article
on the finite geometry PG(3,2).
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See Also …
"And the Führer digs for trinkets in the desert."
"See also Acht "
— Cambridge German-English Dictionary, article on "Elf "
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Saturday, February 16, 2019
“Always with a little humor” — Dr. Yen Lo
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Bunker Bingo Continues.
From a post of October 16, 2017, "Halloween Meditation" —
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Melancholy for Dürer
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Friday, February 15, 2019
The Gifts Reserved for Age
"But, as the passage now presents no hindrance
To the spirit unappeased and peregrine
Between two worlds become much like each other…."
Related obituary:
https://www.nytimes.com/2019/02/15/obituaries/tom-cade-dead.html
Related date:
"as of Feb. 6, 2019" (from a post at 12 AM ET Feb. 7) —
"There is such a thing as a four-dimensional finite affine space."
— Saying adapted from a 1962 young-adult novel by Madeleine L'Engle
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A Simple Interlacing
Paul Valéry, "Introduction to the Method of Leonardo da Vinci,"
La Nouvelle Revue , Paris, Vol. 95 (1895)—
"Regarded thus, the ornamental conception is to the individual arts
what mathematics is to the other sciences. …the objects chosen
and arranged with a view to a particular effect seem as if disengaged
from most of their properties and only reassume them in the effect,
in, that is to say, the mind of the detached spectator. It is thus
by means of an abstraction that the work of art can be constructed,
and is more or less easy to define according as the elements borrowed
from reality for it are more or less complex. Inversely it is by a sort of
induction, by the production of mental images, that all works of art are
appreciated, and this production must equally be more or less active,
more or less tiring, according as it is set in motion by a simple interlacing
on a vase or a broken phrase by Pascal."
— Translated by Thomas McGreevy (Valéry's Selected Writings,
New Directions, 1950)
Related art —
-
Departure dates in "Where Gravity Makes You Float,"
by Oslo artist Josefine Lyche - Apollo and Niobe at the Meadow
- "Enter the Matrix" game
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New Services
From today's online Boston Globe —
See also Wechsler + Siri in this journal and a post from
the date of Dr. Gunderson's death, January 11, 2019 —
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Thursday, February 14, 2019
Wednesday, February 13, 2019
April 18, 2003 (Good Friday), Continued
"The purpose of mathematics cannot be derived from an activity
inferior to it but from a higher sphere of human activity, namely,
religion."
— Igor Shafarevitch, 1973 remark published as above in 1982.
"Perhaps."
— Steven H. Cullinane, February 13, 2019
|
From Log24 on Good Friday, April 18, 2003 — . . . What, indeed, is truth? I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown. For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma. See, too, In Principio Erat Verbum , which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.” Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day. See
“Examples are the stained glass windows Motto of Plato’s Academy † The Exorcist, 1973 |
Detail from an image linked to in the above footnote —
"And the darkness comprehended it not."
Id est :
A Good Friday, 2003, article by
a student of Shafarevitch —
"… there are 25 planes in W . . . . Of course,
replacing {a,b,c} by the complementary set
does not change the plane. . . ."
Of course.
See. however, Six-Set Geometry in this journal.
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Tuesday, February 12, 2019
A Long Time
This journal on the above date, October 17, 2008 —
“Every musician wants to do something of lasting quality,
something which will hold up for a long time, and
I guess we did it with ‘Stairway.'”
— Jimmy Page on “Stairway to Heaven“
Scholium —
"Kummer " in German means "sorrow."
Related material —
Other posts now tagged Dolmen.
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A Dolmen for Ungerer
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Monday, February 11, 2019
Better Call Saul
"Christmas in February!" — SNL cold open, Feb. 9
Detail, online New York Times front page,
Saint Bridget's Day (Feb. 1), 2013 —
See also Nietzsche and modal logic.
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Sunday, February 10, 2019
Cold Open
The previous post, on the Bauhaus 100th anniversary, suggests a review . . .
"Congratulations to the leaders of both parties:
The past 20 years you’ve taken us far.
We’re entering Weimar, baby."
— Peggy Noonan in The Wall Street Journal
on August 13, 2015
Image from yesterday's Log24 search Bauhaus Space.
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