*
**
"… commonly used in conjunction with the Critical Path Method . . . ."
"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
From The Queen's Gambit , by Walter Tevis (1983) —
"She stopped and turned to Beth. 'There is no hint of a
Protestant ethic in Mexico. They are all Latin Catholics,
and they all live in the here and now.' Mrs. Wheatley
had been reading Alan Watts. 'I think I’ll have just one
margarita before I go out. Would you call for one, honey?'
Back in Lexington, Mrs. Wheatley’s voice would sometimes
have a distance to it, as though she were speaking from
some lonely reach of an interior childhood. Here in Mexico City
the voice was distant but the tone was theatrically gay, as though
Alma Wheatley were savoring an incommunicable private mirth.
It made Beth uneasy. For a moment she wanted to say something
about the expensiveness of room service, even measured in pesos,
but she didn’t. She picked up the phone and dialed six. The man
answered in English. She told him to send a margarita and a large
Coke to 713."
Related art —
From "Random Thoughts on December 25" —
See too . . . http://m759.net/wordpress/?tag=story-of-n and . . .
Some earlier work of the above star, Radha Mitchell —
Contra the above gingerbread house, vide Breadcrumbs for Gretel.
"The Water Is Wide" — Song title.
"See you on the other side." — Mary Ann Hoberman.
From "Jungle Cruise" —
LILY — I hope you know what
you’re getting yourself into here, Frank.
A reader's midrash —
FRANK — "Your fun drawers ?"
From a news story I encountered today —
Hurlbut Church in Chautauqua Institution presents their annual
'Yes, It’s Still Christmas' concert celebrating the journey into
the Christmas season. Saturday at 4 p.m., the Hurlbut sanctuary
will host a Chautauqua Big Band Christmas under the direction of
John Cross."
The phrase "Hurlbut Church" suggests an historical check . . .
A rather different historical check, based on the phrase "Hurlbut Hall,"
the name of my residence at Harvard in the academic year 1960-1961 . . .
My own version of a holiday "Fun Drawer" —
For the assignment of zero-one coordinates (over GF(2)), the earlier
layout of the space posted here yesterday is less convenient than
the layout begun below (a work in progress with different basis vectors) —
The natural geometric setting for the "bricks" in the Miracle Octad Generator
(MOG) of Robert T. Curtis is PG(5,2), the projective 5-space over GF(2).
The Klein correspondence mirrors the 35 lines of PG(3,2) — and hence, via the
graphic approach below, the 35 "heavy bricks" of the MOG that match those
lines — in PG(5,2), where the bricks may be studied with geometric methods,
as an alternative to Curtis's original MOG combinatorial construction methods.
The construction below of a PG(5,2) brick space is analogous to the
"line diagrams" construction of a PG(3,2) in Cullinane's diamond theorem.
A search for Forerunner+Gameplayers in this journal yields,
among other things, a post related to Pearl Harbor Day 2016.
Those who prefer mathematics to narrative may prefer to that post
others now tagged — in honor of a mathematical forerunner — Emch.
Related browsing . . . http://m759.net/wordpress/?s=Chess+Key .
"The byte is a unit of digital information that most commonly consists of eight bits. … Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable unit of memory in many computer architectures." — Wikipedia |
Compare and contrast —
From 1989 . . .
From 2024 . . .
— https://www.newstatesman.com/culture/books/
2024/12/the-case-against-george-orwell
"Why drag in the stars?" Good question . . .
The sincerest form of flattery (BBC, Groundhog Day 2018) —
Related reading —
Exercise: The eight-part diagrams in the graphic "brick space"
model of PG(5,2) below need to be suitably labeled with six-part
GF(2) coordinates to help illustrate the Klein correspondence that
underlies the large Mathieu group M24.
A possible approach: The lines separating dark squares from light
(i.e., blue from white or yellow) in the figure above may be added
in XOR fashion (as if they were diamond theorem line diagrams)
to form a six dimensional vector space, which, after a suitable basis
is chosen, may be represented by six-tuples of 0's and 1's.
Related reading —
log24.com/log24/241221-'Brick Space « Log24' – m759.net.pdf .
This is a large (15.1 MB) file. The Foxit PDF reader is recommended.
The PDF is from a search for Brick Space in this journal.
Some context: http://m759.net/wordpress/?s=Weyl+Coordinatization.
Galois's birthday, 1993 —
The title rectangle is featured in a recent sequel to The Galois Tesseract —
"Drawing the same face from different angles sounds fun,
but let me tell you – it’s not. It’s not fun at all. It’s HARD!!"
— Loisvb on Instagram, Dec. 18, 2024
Likewise for PG(5,2).
Exercise: The eight-part diagrams in the graphic "brick space"
model of PG(5,2) below need to be suitably labeled with six-part
GF(2) coordinates to help illustrate the Klein correspondence that
underlies the large Mathieu group M24.
"This Unreadable Russian Novel Is Xi Jinping’s Spiritual Guide,"
A New York Times opinion piece dated Dec. 15, 2024 —
https://www.nytimes.com/2024/12/15/opinion/
china-brics-xi-jinping-trump.html
"A Contrapuntal Theme" —
http://www.log24.com/log/jour/2001-03-05-contrapuntal.html
The author of the above "unreadable Russian novel" —
http://www.log24.com/log/pix24/241219-
Nicolai_Gavrilovich_Chernyshevski-search-results.jpg
Scholium on "A Contrapuntal Theme" —
http://www.log24.com/log/pix24/241219-
Nicolai_Gavrilovich_Chernyshevski-in-The_Gift-by-Nabokov.jpg
See as well other posts tagged with the above search result date.
"It was — and is — very difficult to focus, to navigate
between each sentence and its real-time double,
to find the fuzzy edges where these reflections meet."
— This journal on April 17, 2020, in a passage quoted
from a Laura Marris essay in The New York Times.
Appalachian humor . . .
— "What's the speed limit on Route 69?"
— "Lickety-split."
* "The warnings come after the spells." — Doctor Strange
A synchronology check of the above YouTube upload date —
Sept. 3, 2024 — yields a somewhat relevant quotation . . .
"It was — and is — very difficult to focus, to navigate
between each sentence and its real-time double,
to find the fuzzy edges where these reflections meet."
— This journal on April 17, 2020, in a passage quoted
from a Laura Marris essay in The New York Times.
At the still point . . . Ballet Blanc.
* Greek, not French. Note the Gamma figure at right.
A birthdate — November 7, 2009 — from yesterday's news — yields,
with a bit of research in this journal . . .
Simplified rocket image from the previous post —
For conspiracy theorists —
Today's news from Madison, Wisconsin, suggested a Log24 search
that yielded a quotation . . .
"Schneider realized that groups in the mathematical culture —
which tended to form around distinguished individuals —
flourished for a time and then disappeared. Along with several
colleagues, Schneider established the International Matrix Group . . . ."
"Each of the 64 subcubes is supposed to be marked identically,
with white caps on two opposite vertices and a black band
around the subcube that separates the two white caps."
Related whitecap reading . . .
http://log24.com/log/pix24/
241216-art.marcelanowak.com-homepage-with-serpent.jpg
http://log24.com/log/pix24/
241216-IG-ritualofheart-Dec_13-Snake-69-Yang-Yin-spiral.jpg
http://m759.net/wordpress/?p=113559
("Hurly Burly: Code for Something")
* Vide "The Forked Tongue."
"December 15, 2024 / 7:59 PM EST / CBS News" —
* Title of a guitar-related art piece by saddle designer Marcela Nowak.
A meditation suggested by yesterday's evening fashion news . . .
* A discussion of Stevens's late poem "The Rock" (1954) in
Wallace Stevens: A World of Transforming Shapes,
by Alan D. Perlis, Bucknell University Press, 1976, p. 120 —
"For Stevens, the poem 'makes meanings of the rock.'
In the mind, 'its barrenness becomes a thousand things/
And so exists no more.' In fact, in a peculiar irony that
only a poet with Stevens's particular notion of the imagination's
function could develop, the rock becomes the mind itself,
shattered into such diamond-faceted brilliance that it
encompasses all possibilities for human thought:
The rock is the gray particular of man's life, The stone from which he rises, up—and—ho, The step to the bleaker depths of his descents ... The rock is the stern particular of the air, The mirror of the planets, one by one, But through man's eye, their silent rhapsodist, Turquoise the rock, at odious evening bright With redness that sticks fast to evil dreams; The difficult rightness of half-risen day. The rock is the habitation of the whole, Its strength and measure, that which is near, point A In a perspective that begins again At B: the origin of the mango's rind. (Collected Poems, 528)"
Related reading: "Back in Action."
Question from "Red One" that was used to tell if a character is
real or merely a shape-shifter —
1808
01:39:26,833 –> 01:39:30,000
If you could make any toy in the world
real right now, what would it be?
1809
01:39:31,375 –> 01:39:32,750
Wonder Woman.
Same question, different possible answer . . .
"Bourgeois creature comfort (illustrated)."
Related Readings
1. http://www.log24.com/log/pix24/241213-Ein-Veener-Wiener.jpg.
That note supplies a link . . .
2. https://www.unz.com/isteve/matthew-weiner-explains-
mad-men-is-about-white-power/.
That link supplies the date May 17, 2015; posts so dated are now
among those tagged . . .
Tom Wolfe on art theorists in The Painted Word (1975) :
"It is important to repeat that Greenberg and Rosenberg
did not create their theories in a vacuum or simply turn up
with them one day like tablets brought down from atop
Green Mountain or Red Mountain (as B. H. Friedman once
called the two men). As tout le monde understood, they
were not only theories but … hot news,
straight from the studios, from the scene."
From http://m759.net/wordpress/?s=Green+Mountain —
Lectures at Bennington, 1971
The standard Western musical scale, an octave consisting
of 12 tones, is known as the "chromatic" scale.
Related material —
.
"What brings you to our site?" . . .
The well-tempered matrix, chromea.art, and UI "chrome" as above.
Further details: The Harmony Problem.
* For some background on the topic of geometry and reality,
see other posts tagged Freudenthal.
The previous post suggests a flashback to . . .
A related quotation from art critic Peter Schjeldahl . . .
" I divide mathematics into discrete and continuous
(prickles and goo, as Alan Watts put it) . . . ."
— Peter J. Cameron on 8 December 2024
"What is a GUI?" —
See also an illustration from "Google's Apple Tree" (Jan. 4, 2010) —
* Title purloined from Gian-Carlo Rota.
Adapted from a poem by Yeats . . .
"And what rare beast, its time come round at last …"
From today's previous post —
See as well …
"Comments Off" —
https://www.nytimes.com/2024/12/09/nyregion/
saint-anns-winston-nguyen-crime.html
and …
"Poisoned by these fairy tales" song lyrics —
https://genius.com/Don-henley-the-end-of-
the-innocence-lyrics .
Logo design suggested by a phrase of Alan Watts —
"Training models to incorporate a chain of thought before answering
has the potential to unlock substantial benefits, while also increasing
potential risks that stem from heightened intelligence."
— OpenAI o1 System Card (OpenAI, December 5, 2024),
https://cdn.openai.com/o1-system-card-20241205.pdf
This post was suggested by remarks today from a former
Tutorial Fellow at Merton College, Oxford, that included
a memorable phrase by Alan Watts.
Some observe the feast of this St. Simon (there are others) on January 5.
See posts now tagged Sanskrit.
Related material: The previous post's mathematics page . . .
http://ramanujan.math.trinity.edu/rdaileda/teach/s19/m3362/alternating.pdf
and its parent page . . .
Ramanujan.math.trinity.edu page —
For my own connection to SASTRA, see (from an IEEE page) . . .
V. Harish
Dept. of Computer Science and Engineering, Sastra University
N. Rajesh Kumar
Dept. of Computer Science and Engineering, Sastra University
N. R. Raajan
Dept. of Computer Science and Engineering, Sastra University
("Sastra" should be "SASTRA.")
. . . and the paper
V. Harish, N. R. Kumar, and N. Raajan, "New visual secret sharing scheme for
gray-level images using diamond theorem correlation pattern structure," in
Circuit, Power and Computing Technologies (ICCPCT), 2016 International
Conference on, 2016, pp. 1-5.
This was cited in . . .
Morrow reportedly died last Sunday (Dec. 1, 2024). He once wrote:
"William James said, 'Evil is a disease.' But it can be
an atrocious liberation, like the cap flying off a volcano."
This journal last Sunday . . .
Some related images . . . Kenneth Noland, 1963.
"Where past and future are gathered" — T. S. Eliot
* The UI/UX meaning of "chrome." See the previous post, "Chrome Cube."
Not so useless . . . A painting used as illustration in the above essay —
For those who, like me, enjoyed the "Mrs. Davis" series about AI . . .
Related song lyrics . . .
Zip! My artistic taste is classic and choice –
Zip! Who the hell’s Rosita Royce?
— “Zip” by Richard Rodgers & Lorenz Hart
Good question. See Royce on the Web and . . .
Current events suggest revisiting Koreatown —
Koreatown (Los Angeles) photo by Marcela Nowak.
A different, digital, rewind … back 10 years in this journal … yields —
Click the above geometry image to enlarge it.
Related narratives . . .
Vide the Disney tale of Sith tetrahedron and Jedi cube, and, in this journal,
posts tagged "Congregated Light."
Zip! I was reading Schopenhauer last night.
Zip! And I think that Schopenhauer was right.
From Fry’s obituary in The Guardian :
“ Though less of a public theorist than Eliot, Fry still believed passionately
in the validity of poetic drama. As he wrote in the magazine Adam :
‘In prose, we convey the eccentricity of things, in poetry their concentricity,
the sense of relationship between them: a belief that all things express
the same identity and are all contained in one discipline of revelation.' ”
Janet Leigh in "Harper" (1966)
See as well a set design for a 1956 film.
“The Platters were singing ‘Each day I pray for evening just to be with you,’ and then it started to happen. The pump turns on in ecstasy. I closed my eyes, I held her with my eyes closed and went into her that way, that way you do, shaking all over, hearing the heel of my shoe drumming against the driver’s-side door in a spastic tattoo, thinking that I could do this even if I was dying, even if I was dying, even if I was dying; thinking also that it was information. The pump turns on in ecstasy, the cards fall where they fall, the world never misses a beat, the queen hides, the queen is found, and it was all information.”
— Stephen King, Hearts in Atlantis, August 2000 |
Ms. Watson recently updated her Instagram page
with a holiday ad for her family's gin that very nicely
displays her artistic skills … in the manner of Matisse.
Hence this Black Friday greeting for her, which illustrates
the phrase "Behind the Black Door." —
Episode 6 of "The Penguin" is titled "The Gold Summit."
I am savoring this series, watching it slowly, and I just saw the scene*
described as the Gold Summit. It takes place under what the scene
calls "the Eliot** Bridge," but the scene opening shows what seems to be
an area of Brooklyn under the Manhattan Bridge Overpass.
Vide Private Gray.
*42:45 – 48:53.
** An actual Eliot Bridge in Cambridge, Mass., crosses the Charles River
at Weld Boathouse. The bridge, built in 1950, was named in part for Harvard
president Charles Eliot, author of inscriptions on my hometown public library
that I read many times growing up.
Just uphill from Robert A. Heinlein's former home in Laurel Canyon —
See also a related aerial view —
A song for the Academy —
♫ In those big city nights
In those high rolling hills
Above all the lights
With a passion that kills
Thomas Wolfe, On Time and the River* —
"The great river burned there in his vision
in that light of fading day and it was hung there
in that spell of silence and for ever, and it was
flowing on for ever, and it was stranger than a legend,
and as dark as time."
For the birthdate of Madeleine L'Engle and C. S. Lewis,
two geometric entities . . . Tesseract and MOG —
Related unicode for fans of Siri Hustvedt, who wrote
Mysteries of the Rectangle —
Related AI Overview —
"Specifically" correction —
Vide http://www.davidgorman.com/4quartets/3-salvages.htm.
* “I do not know much about gods; but I think that the river
Is a strong brown god . . . ." — "The Dry Salvages"
Koan:
"What was your original face before you were born?"
Hint from Wallace Stevens:
"That which was public green turned private gray."
— Wallace Stevens
Koan reply:
ELF's Bounty
"Down under Manhattan Bridge Overpass, |
An instance of T. S. Eliot's poetic "still point" is the
center of a 3x3x3 Galois cube made up of 27 subcubes …
Not Rubik's puzzle, whose center is a mere mechanical contrivance.
Associated with that Galois cube is the set of
13 symmetry axes of its central subcube.
The figure above is not unrelated to the so-called "free will theorem."
Mathematician Peter J. Cameron's recent quotation of St. Bernard*
on free will and grace, while not impressive as a philosophical
statement, is at least preferable to the TV sitcom "Will and Grace."
See also the notion of free will in other posts tagged "Congregated Light."
Some context: Tom Wolfe, below, on the word "clerisy." It seems that the
word applies to many academics besides those in areas named by Wolfe.
* Vide http://www.catholictradition.org/Tradition/efficacious-grace3.htm#67 —
"De gratia et Libero arbitrio, chaps. 1 and 14."
The domain bitcube.space has now been renewed for another year.
It leads to — among other things — the following remarks . . .
Towards a Philosophy of Real Mathematics, by David Corfield, Cambridge U. Press, 2003, p. 206: “Now, it is no easy business defining what one means by the term conceptual…. I think we can say that the conceptual is usually expressible in terms of broad principles. A nice example of this comes in the form of harmonic analysis, which is based on the idea, whose scope has been shown by George Mackey (1992) to be immense, that many kinds of entity become easier to handle by decomposing them into components belonging to spaces invariant under specified symmetries.” For a simpler example of this idea, see the entities in The Diamond Theorem, the decomposition in A Four-Color Theorem, and the space in Geometry of the 4×4 Square. The decomposition differs from that of harmonic analysis, although the subspaces involved in the diamond theorem are isomorphic to Walsh functions– well-known as discrete analogues of the trigonometric functions of traditional harmonic analysis. |
* See that phrase in this journal.
Hometown newspaper on the day I turned 25 —
A Sequel for Rubik: Turning 27 —
Related meditations: Turning.
To clarify the previous post . . .
The "other intelligent being" in the Diamond Theory Studio example
below is the artificial intelligence at https://websim.ai .
To use WebSim, one simply states in plain English what one wants
a webpage to do, and WebSim constructs the page.
The above webpage, Diamond Theorem Studio, is an example of the
WebSim end product. Its construction was surprisingly easy … for the
human side of the process. For the code produced by
the AI side of the process, view my personal uploaded version of the
page at http://log24.com/DT/Websim-Diamond-Theorem-Studio.html
and then view that page's source code in the usual way.
For "the Yoda of Silicon Valley" . . .
See posts on programming the "Tents of Armageddon."
"It is the difference between performing and exposing
a magic trick." — Ross Williams on "literate programming"
Sometimes performing is exposing. See "Strip Joints."
Wiki'd!
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