See also Alec Baldwin in "The Aviator" . . .
" 'There is a game of puzzles,' he resumed,
'which is played upon a map. One party playing
requires another to find a given word — the name
of town, river, state, or empire —
any word, in short, upon the motley and perplexed
surface of the chart.' " — Edgar Allan Poe
The Klein quadric as background for the Miracle Octad Generator of R. T. Curtis —
See also Saniga on heptads in this journal.
The phrase "smallest perfect universe" is by Burkard Polster.
It refers to the smallest finite projective space of three dimensions.
As a sort of memorial to mathematics during the first 100 years
since the 1910 publication of Conwell's classic study of that space,
see a Log24 search for Space 2010 .
My Windows 11 lockscreen tonight —
"Tulip mania swept this land way back in the 17th century . . . ."
.gif)
Some historical background —
"Die Philosophie ist ein Kampf gegen die Verhexung
unsres Verstandes durch die Mittel unserer Sprache."
— Wittgenstein, Philosophical Investigations (1953),
Section 109
"The newly redesigned Museum of Modern art
bracketed a rectangular open space."
— Photo caption in a Dec. 23 New York Times obituary
"The literature is replete with explanations of the benefits of
bracketing, not only in phenomenological studies but in other
types of qualitative research."
— Thomas, S. P., & Sohn, B. K. (2023).
From Uncomfortable Squirm to Self-Discovery:
A Phenomenological Analysis of the Bracketing Experience.
International Journal of Qualitative Methods, 22.
https://doi.org/10.1177/16094069231191635
An application of the Husserl approach to Verhexung —
Bracketing the phrase "Galois space" in the literature yields different
mathematical concepts, some derived from "Galois geometry," some
from "topological space."
The former relates to structures with a finite number of points, the latter
to structures with an infinite number of points. Sometimes the two sorts
of structure are related to one another. For example . . .
— Photo by Marcela Nowak
Compare and contrast —
Saturday, May 7, 2022
|
A quotation from this journal yesterday —
"… the voice was distant but the tone was theatrically gay . . . ."
An email I received today —
(As for the Mexico City part of yesterday's quote,
see the new Daniel Craig movie set there.)
From http://m759.net/wordpress/?s="The+Thing+and+I" —
See also a somewhat earlier November 21 — "Words, Down and Across."
"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.
Two rather heavy-duty "Art of" titles —
The Art of Computer Programming and
The Art of Working with the Mathieu Group M24.
Combining the above topics, we have . . .
From the Alex Ross book in the Goodreads list above —
A related PDF: "Art of the Byte Dance."
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.
-coordinates.gif)
"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.
"We use cookies!" … As do Amazon MGM Studios —
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 will prefer Damascus steel . . .
Some observe the feast of this St. Simon (there are others) on January 5.
Update of 12:51 PM the same day —
Colores: Canción en Amarillo
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."
"She's got a pad down on Thirty-Fourth and Vine
Selling little bottles of love potion number nine…."
Update at 11:11 AM EST on 12/4 —
Related material . . .
|
Tuesday, September 6, 2022 Tags: Clever, Digital Yin-Yang — m759 @ 1:14 pm
See as well Kipnis on the separatrix, and a notation 9/6. |
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.
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