Part I —
Also in May 1986 —
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86-05-08… A linear complex related to M24 . Anatomy of the polarity pictured in the 86-04-26 note. 86-05-26… The 2-subsets of a 6-set are the points of a PG(3,2).
Beutelspacher's model of the 15 points of PG(3,2) |
Part II — (36 years later)
For fans of the fictional Transfiguration College, an institution
in the play "Heroes of the Fourth Turning" — now reportedly
featuring Sophia Lillis in an upcoming Washington, D.C., production…
See "theatrical Hiroshimas" and "Jolt" in this journal.
Related philosophy — Taiji.
In memory of a founder of MCC Theater:
A musical rendition of the ending of the classic
1947 E. B. White short story
"The Second Tree from the Corner."
"In my beginning is my end." — T. S. Eliot
Two readings from December 7, 2008 —
A related quotation, suggested by the now-deceased professor David Lavery
of Middle Tennessee State University —
Lavery, a professor of English, was born in 1949 in Oil CIty, Pa.
The Peacock series "The Resort" yesterday presented its concept
of "a room outside of time" (the Pasaje ) as a hole in the ground.
"I saw a werewolf with a Chinese menu in his hand
Walking through the streets of Soho in the rain"
See other posts now tagged Structure Character.
See as well the Tolkien release date in Wondertale posts.
Season 1 of "The Resort" will end as "The Lord of the Rings:
The Rings of Power" begins.
For seekers of the Pasaje — "The Room Outside of Time" —
"The Vision is of what the transliteration of their collaborative
Great Music into a material reality would be like. They are
shown that the Music has a point, has a result and effect
beyond its composition and singing: it amounts to no less
than a highly detailed template commensurate with the entire
history – beginning to end – of a material, 'physical' Universe
that could exist inside 'time'."
See Ballet Blanc and Black Art in this journal.
From the former:
"A blank underlies the trials of device."
— Wallace Stevens
From the latter:
Separatrix:
From "Core Curriculum Vocabulary," Log24, July 5, 2014 . . .
Stephen King, Archimedes, and Daisy Buchanan —
Unitrix:
From the 2022 sequel to "365 Days" and "365 Days: This Day" —
Related literary symbolism —
From "A special configuration of 12 conics and generalized Kummer surfaces,"
by David Kohel, Xavier Roulleau, and Alessandra Sarti.
(arXiv:2004.11421 (math), submitted on 23 Apr 2020 (v1),
last revised 17 May 2021 (this version, v2)) —
"… we study the set C12 of conics that contain at least 6 points in P9. One has
Theorem 1. The set C12 has cardinality 12. Each conic in C12 contains exactly
6 points in P9 and through each point in P9 there are 8 conics. The sets (P9, C12)
form therefore a (98, 126)-configuration.
The configuration (P9, C12) has interesting symmetries, e.g. there are 8 conics
among the 12 passing through a fixed point q in P9 and the 8 points in P9 \ {q},
which form a 85 point-conic configuration. The freeness of the arrangement of
curves C12 is studied in [19], where we learned that this configuration has been
also independently discovered in [11]."
[11] Dolgachev I., Laface A., Persson U., Urzúa G.,
"Chilean configuration of conics, lines and points," preprint.
(arXiv:2008.09627 (math), submitted on 21 Aug 2020)
[19] Pokora P., Szemberg T.,
"Conic-line arrangements in the complex projective plane," preprint
(arXiv:2002.01760 (math), submitted on 5 Feb 2020 (v1),
last revised 10 Feb 2022 (this version, v3))
M. J. T. Guy discovered that the lexicographic version
of the Golay code contains, embedded within it, the
Miracle Octad Generator (MOG) of R. T. Curtis.
For 12 basis vectors of the lexicographic version, see below.
For some context, click the embedded guy.
For a closely related, but simpler, mathematical
structure, see posts tagged The Omega Matrix.
From the Stillwell remembrance, a Shenitzer quote —
"An English major may or may not be a novelist or a poet,
but would undoubtedly be expected to be able to evaluate
a novel or a poem. The term 'English major' implies some
historical, philosophical, and evaluative training and
competence. It is sad but true that the term 'mathematician'
does not imply corresponding training and competence."
Related material — The previous post, and posts tagged Super-8.
"… the new geometries … provide the best example of
the power of the human mind, for the mind had to defy
and overcome habit, intuition, and sense perceptions
to produce these geometries."
— Morris Kline, Mathematics in Western Culture ,
Oxford University Press, 1953, page 430.
Points as Cuts —
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"This discussion, intended to define the nature and the largest common denominator of all games, has at the same time the advantage of placing their diversity in relief and enlarging very meaningfully the universe ordinarily explored when games are studied. In particular, these remarks tend to add two new domains to this universe: that of wagers and games of chance, and that of mimicry and interpretation. Yet there remain a number of games and entertainments that still have imperfectly defined characteristics— for example, kite-flying and top-spinning, puzzles such as crossword puzzles, the game of patience, horsemanship, seesaws, and certain carnival attractions."
— Caillois, Roger. 1913-1978, in
Translated by Meyer Barash from Les jeux et les hommes . |
See also Caillois in the previous post.
See as well the discussion of
"the flag of the nude above the holiday hotel,"
on pages 108-109 in
Leon Surette, “Wallace Stevens, Roger Caillois and
‘The Pure Good of Theory',” Paideuma , Vol. 32,
Nos. 1-2-3 (Spring, Fall and Winter 2003), pp. 95-122
"And, as with all retold tales that are in people's hearts,
there are only good and bad things and black and white
things and good and evil things and no in-between anywhere."
— John Steinbeck, author's epigraph to The Pearl
From the Season 4 finale of Westworld :
uploading Dolores's pearl at Hoover Dam —
For those who prefer greater theological simplicity . . .
Optimus Prime on a different Hoover Dam figure, that of
the AllSpark: "Before time began, there was the Cube."
Simplifying even more . . .
“A set having three members is a single thing
wholly constituted by its members but distinct from them.
After this, the theological doctrine of the Trinity as
‘three in one’ should be child’s play.”
– Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art , Cornell U. Press, 1975
As above, Black's theology forms a cube.
A Web search shows that the above 2014 photo is, specifically,
from June 26, 2014, when the guest speaker was Jules Feiffer.
See as well this journal on June 26, 2014.
|
Westworld Season 4 Episode 8 (Finale)
Christina: Where am I?
Read more at: |
From a college botany laboratory in the 1915
D. H. Lawrence novel The Rainbow —
"Suddenly she had passed away into
an intensely-gleaming light of knowledge."
A later passage in the same novel, under
a metaphorical Tree of Life —
"She passed away as on a dark wind, far, far away,
into the pristine darkness of paradise, into the original
immortality. She entered the dark fields of immortality."
Some will prefer . . .
For further context, see posts tagged Screw Theory.
Earlier . . .
See also Dark Fields in this journal.
See also "Abstract Signature" in this journal.
The art-school phrase "line of action" has a mathematical counterpart.
Some background . . .
In memoriam —
For those who prefer bullshit . . .
“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”
— Article at Zoltan Dienes’s website
This quote is from a Log24 post of Feb. 6, 2014,
The Representation of Minus One.
"Leave a space." — Tom Stoppard, "Jumpers"
See also Lily Collins's recent ice-cream-cone post.
The number 105 displayed in that post may suggest,
to sufferers from apophenia, the date 1/05.
See that date in this journal. For the color of Collins's
ice cream — lavender — see posts now tagged Space X.
"Snowman author Raymond Briggs dies aged 88"
See as well a Log24 search: Stoppard + "Leave a space" .
Related literary notes:
Click El Catalejo below for some book-related remarks.
"Jurassic World: Maisie Lockwood Adventures 2: The Yosemite Six
will be released on September 27, 2022."
Thanks for the warning.
Of greater interest to some: The Number Six.
A phrase from the above scene: "the metaphysics of identity."
I prefer a May 1986 looking-glass from pure mathermatics.
See more? Yes, Yes!
* See this morning's Rimshot Muse.
** See Lillian Roth in Madam Satan (1930, pre-Code).
The centrolinden.com address in the previous post
suggests a search for Navarre in this journal that yields…
“D’exterieur en l’interieur entre
Qui va par moi, et au milieu du centre
Me trouvera, qui suis le point unique,
La fin, le but de la mathematique;
Le cercle suis dont toute chose vient,
Le point ou tout retourne et se maintient.”
— Marguerite de Navarre
Related philosophical reflections . . .
Waxing poetic . . .
"In the Garden of Adding live Even and Odd" — E. L. Doctorow
To wit:
1/2 + 1/3 = 5/6, since the LCM of 2 and 3 is 6.
See as well . . .
Progressive Matrices
A sample Raven's Progressive Matrices test item —
Update of 10 AM ET Sunday, August 7, 2022 —
See as well Siobhan Roberts on geometry in The New York Times
on March 22, 2022, and a Log24 post on geometry on that date.
The above obituary reports a death that happened on July 23.
Also on that date . . . Myth Space and Date Note.
"“Quantity has a quality all its own.”
— James Stavridis, quoted on Aug. 5, 2022.
Also on July 30 . . .
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 —
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