Log24

Monday, November 20, 2023

Annals of Symbology

Filed under: General — Tags: , , — m759 @ 8:16 am

See also Log24 on August 30, 2006.

Sunday, November 19, 2023

Six Dimensions

Filed under: General — Tags: , — m759 @ 9:59 am

Heinlein:

"Sharpie, we have condensed six dimensions into four,
then we either work by analogy into six, or we have to use math
that apparently nobody but Jake and my cousin Ed understands.
Unless you can think of some way to project six dimensions into three–
you seem to be smart at such projections."

I closed my eyes and thought hard. "Zebbie, I don't think it can be done.
Maybe Escher could have done it."

Image-- Escher's 'Verbum'

Escher’s Verbum

Image-- Solomon's Cube

Solomon’s Cube

For the First Church of Aquaman . . .

Filed under: General — Tags: — m759 @ 8:10 am

From "Glamour" in this journal —

 

Meets . . .

 

Creature from the Blue Lagoon

Saturday, November 18, 2023

“Sometimes lately in dreams . . .” — Malcolm Lowry

Filed under: General — Tags: — m759 @ 11:29 pm

Abyssus Abyssum Invocat

Filed under: General — Tags: , — m759 @ 1:49 pm

See other posts now tagged For Stella Maris. Related news —

"Searchin' for my lost shaker of salt . . . ." — Song lyric

“Don’t solicit for your sister,* it’s not nice.” — Tom Lehrer

Filed under: General — Tags: — m759 @ 11:36 am

André Weil to his sister:

From this journal at 1:51 AM  ET Thursday, September 8, 2022

"The pleasure comes from the illusion" . . .

Exercise:

Compare and contrast the following structure with the three
"bricks" of the R. T. Curtis Miracle Octad Generator (MOG).

http://www.log24.com/log/pix11B/110805-The24.jpg

Note that the 4-row-2-column "brick" at left is quite 
different from the other two bricks, which together
show chevron variations within a Galois tesseract —

.

Further Weil remarks . . .

A Slew of Prayers

"The pleasure comes from the illusion
and the far from clear meaning;
once the illusion is dissipated,
and knowledge obtained, one becomes
indifferent at the same time;
at least in the Gitâ there is a slew of prayers
(slokas) on the subject, each one more final
than the previous ones."

*

Friday, November 17, 2023

“Design is How It Works” — Steve Jobs

Filed under: General — Tags: , , — m759 @ 4:37 pm

In memory of a graphic-design figure who reportedly died
on Monday, Nov. 13, 2023 — images from a post on that date

"The great aim is accurate, precise and definite description . . . . "
— T. E. Hulme, Speculations: Essays on Humanism and the
Philosophy of Art
, ed. Herbert Read. London and New York:
Routledge and Kegan Paul, 1987. First published 1924.

Schoolgirl Problem:  Not  Queen of the Desert

Filed under: General — m759 @ 2:44 pm

Classicism Continued: An Apotheosis of Modernity

Filed under: General — Tags: , — m759 @ 12:34 pm
 

From Chapter 23, "Poetry," by Adam Parkes, in
A Companion to Modernist Literature and Culture,
edited by David Bradshaw and Kevin J. H. Dettmar,
Blackwell Companions to Literature and Culture,
© 2006 by Blackwell Publishing Ltd.

Writing in 1910–11, the English poet and critic T. E. Hulme claimed that the two major traditions in poetry, romanticism and classicism, were as different as a well and a bucket. According to the romantic party, Hulme explained, humankind is “intrinsically good, spoilt by circumstance”; that is, our nature is “a well, a reservoir full of possibilities.” For the classical party, however, human nature is “like a bucket”; it is “intrinsically limited, but disciplined by order and tradition to something fairly decent” (Hulme 1987: 117). But it was not only that romanticism and classicism were as dissimilar as a well and a bucket; their contents were different, too. To draw water from the well of romanticism was, in effect, to pour a “pot of treacle over the dinner table,” while the classical bucket was more likely to be full of little stones – or jewels, perhaps. Romanticism, in Hulme’s view, was the result of displaced religious fervor; it represented the return of religious instincts that the “perverted rhetoric of Rationalism” had suppressed, so that “concepts that are right and proper in their own sphere are spread over, and so mess up, falsify and blur the clear outlines of human experience” (Hulme 1987: 118). Classicism, by contrast, traded in dry goods – dry, hard goods, to be precise.

Hulme left little doubt as to which side he was on. “It is essential to prove,” he argued, “that beauty may be in small, dry things. The great aim is accurate, precise and definite description. . . . I prophesy that a period of dry, hard, classical verse is coming” (Hulme 1987: 131–3). If by “dry, hard, classical verse” Hulme meant poems looking like the fragments of Sappho, he didn’t have to wait long to see his prophecy fulfilled.

The hard sand breaks,
and the grains of it
are clear as wine.

Far off over the leagues of it,
the wind,

228

playing on the wide shore,
piles little ridges,
and the great waves
break over it.

So wrote Hilda Doolittle in “Hermes of the Ways,” the first poem that she signed “H. D., Imagiste” at the behest of her fellow American expatriate Ezra Pound. From Pound’s perspective, the Imagist movement that he co-founded in 1912 with H. D. and the English poet Richard Aldington was finished well before the First World War began in August 1914; throughout this war-torn decade, however, Imagism continued to spawn the poetry of “small, dry things” whose coming Hulme had predicted a few years before.

Indeed, modernist poets weren’t content merely to break down the extended heroic narratives – the “spilt religion,” as Hulme put it – of their treacly nineteenthcentury predecessors; they insisted on breaking down small things into ever-smaller particles and subparticles. This logic of disintegration is clearly at work in poems like “Hermes of the Ways,” where each line is metrically unique, creating a sense of perpetual freshness – an apotheosis of modernity, as it were.

REFERENCE

Hulme, T. E. (1987). Speculations: Essays on Humanism and the Philosophy of Art, ed. Herbert Read. London and New York: Routledge and Kegan Paul. First published 1924.

Compare and contrast:

Jeremy Gray,
Plato's Ghost: The Modernist Transformation of Mathematics,
Princeton University Press, first edition Sept. 22, 2008

"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…."

(Quoted at the webpage Solomon's Cube.)

Classicism Continued

Filed under: General — Tags: — m759 @ 11:54 am

"And well-lighted." — Hemingway

Unhinged Melody

Filed under: General — m759 @ 10:37 am

Click images for further details.

High Concept:  I Ching Meets Cha-Ching

Filed under: General — m759 @ 1:44 am

And then there is Bing . . .

"When nation spoke unto nation, they did it via Fantail."

— Alderman, Naomi. The Future  (p. 5). Simon & Schuster. Kindle Edition.

The Center

Filed under: General — m759 @ 12:15 am

See "Concordance + Center" in this journal, a search
suggested by the new URL "geometry.center."
 

Thursday, November 16, 2023

Geometry and Art

Filed under: General — Tags: , , — m759 @ 5:54 am

AI-assisted report on "Cullinane Diamond Theorem discovery" —

Cullinane Diamond Theorem discovery

The full  story of how the theorem was discovered is actually
a bit more interesting.  See Art Space, a post of May 7, 2017,
and The Lindbergh Manifesto, a post of May 19, 2015.

"The discovery of the Cullinane Diamond Theorem is a testament
to the power of mathematical abstraction and its ability to reveal
deep connections and symmetries in seemingly simple structures."

I thank Bing for that favorable review.

Wednesday, November 15, 2023

Heisenberg on Beauty

Filed under: General — Tags: — m759 @ 10:23 am
 

"… die Schönheit… [ist] die
 richtige Übereinstimmung
 der Teile miteinander
 und mit dem Ganzen."

"Beauty is the proper conformity
 of the parts to one another
 and to the whole."
 
  — Werner Heisenberg,
"Die Bedeutung des Schönen
 in der exakten Naturwissenschaft,"
 address delivered to the
 Bavarian Academy of Fine Arts,
 Munich, 9 Oct. 1970, reprinted in
 Heisenberg's Across the Frontiers,
 translated by Peter Heath,
 Harper & Row, 1974

This is not the meth-lab Heisenberg —
who also suggests a German saying:

. . . Gestaltung, Umgestaltung, 
  Des ewigen Sinnes ewige Unterhaltung . . . .

Tuesday, November 14, 2023

Scholarly Ideas

Filed under: General — Tags: — m759 @ 11:33 pm

Tangled-Up Equation

Filed under: General — Tags: — m759 @ 1:17 am

Sophia Lillis at Woodstock Music Shop

Sophia Lillis at Woodstock Music Shop

A quote from a Vanity Fair piece dated October 17, 2023 —

Vanity Fair sheet music

Monday, November 13, 2023

Deadline News

Filed under: General — m759 @ 11:49 am

Related material in this  journal:  See Euphoria  and The Idol .

Update of 9:42 AM ET Nov. 16 —

https://www.tmz.com/2023/11/16/euphoria-producer-kevin-turen-
suffered-medical-emergency-driving-tesla-before-death/
.

Philosophy at Scarecrow Press

Filed under: General — Tags: , , — m759 @ 10:44 am

"Scarecrow Press, June 21, 2000" — The above publication date.

That date suggests a synchronology check —

Sunday, November 12, 2023

Cum grano salis

Filed under: General — Tags: , — m759 @ 9:22 pm

The above title is from the Black Mass performed by Boris Karloff
in a classic 1934 horror film. An illustration —

Related dialogue from Log24 — "Cube mine! "

Si le grain ne meurt

Filed under: General — Tags: — m759 @ 12:37 pm

Leonard F. Wheat, Harvard Ph.D. 1958,
is said to have died at 82 on May 12, 2014.

Look upon his works, ye Mighty, and despair.

Also on Wheat's date of death —

Saturday, November 11, 2023

A Star for David

Filed under: General — Tags: — m759 @ 3:27 pm

In memory of poet David Ferry, who reportedly died
at 99 last Sunday — Guy Fawkes Day —
an image linked to here  on that day . . .

The Diamond Theorem and Graphic Design

Filed under: General — Tags: — m759 @ 1:59 pm

A "Cullinane Diamond Theorem" question suggested today by Bing Chat —

Columbian Exposition:  Grok This, Elon.

Filed under: General — Tags: , , — m759 @ 12:48 pm

July 16, 1952:

Robert A. Heinlein to Lurton Blassingame,
on writing what would become Stranger in a Strange Land

". . . . Yes, I am still having trouble with that novel. . . .

The story itself is giving me real trouble. I believe that
I have dreamed up a really new S-F idea, a hard thing
to do these days—but I am having trouble coping with it."

Also on that date —

The next day . . .

Friday, November 10, 2023

Logos

Filed under: General — Tags: , , , — m759 @ 12:08 pm

Related art —

(For some backstory, see Geometry of the I Ching
and the history of Chinese philosophy.)

Galois space of six dimensions represented in Euclidean spaces of three and of two dimensions

The Writer as Trickster:  A Date for Loki

Filed under: General — Tags: , , — m759 @ 10:37 am
 

9/15/1984.


More "spots of time": "0915."

Altman’s Monster* Version of Musk’s Grok Logo

Filed under: General — Tags: , , — m759 @ 9:15 am

*

A line for the Monster — "Cube mine !"

Cube Mine

Filed under: General — Tags: , , — m759 @ 12:44 am

In memory of a former president of Boston University
Other posts now tagged Cube Mine.

Related entertainment —

Thursday, November 9, 2023

For Sally Field, Pain Hustler . . .
“Who Wrote This  Script?”

Filed under: General — Tags: — m759 @ 11:00 pm

"My father's house hath many mansions."

Meditation for Schicksalstag

Filed under: General — m759 @ 12:24 pm

"There might be, too, a change immenser than
A poet’s metaphors in which being would

Come true, a point in the fire of music where
Dazzle yields to a clarity and we observe,

And observing is completing and we are content,
In a world that shrinks to an immediate whole,

That we do not need to understand, complete
Without secret arrangements of it in the mind."

— Wallace Stevens, "Description Without Place,"
Sewanee Review,  October-December 1945

The Enormous Mess

Filed under: General — Tags: — m759 @ 1:02 am
 

"Symmetry is the concept that something can undergo a series of transformations—spinning, folding, reflecting, moving through time—and, at the end of all those changes, appear unchanged. It lurks everywhere in the universe, from the configuration of quarks to the arrangement of galaxies in the cosmos.

The Enormous Theorem demonstrates with mathematical precision that any kind of symmetry can be broken down and grouped into one of four families, according to shared features. For mathematicians devoted to the rigorous study of symmetry, or group theorists, the theorem is an accomplishment no less sweeping, important, or fundamental than the periodic table of the elements was for chemists. In the future, it could lead to other profound discoveries about the fabric of the universe and the nature of reality.

Except, of course, that it is a mess: the equations, corollaries, and conjectures of the proof have been tossed amid more than 500 journal articles, some buried in thick volumes, filled with the mixture of Greek, Latin, and other characters used in the dense language of mathematics. Add to that chaos the fact that each contributor wrote in his or her idiosyncratic style.

That mess is a problem because without every piece of the proof in position, the entirety trembles. For comparison, imagine the two-million-plus stones of the Great Pyramid of Giza strewn haphazardly across the Sahara, with only a few people who know how they fit together. Without an accessible proof of the Enormous Theorem, future mathematicians would have two perilous choices: simply trust the proof without knowing much about how it works or reinvent the wheel. (No mathematician would ever be comfortable with the first option, and the second option would be nearly impossible.)"

Ornes, Stephen (2015). "The Whole Universe Catalog : Before they die, aging mathematicians are racing to save the Enormous Theorem's proof, all 15,000 pages of it, which divides existence four ways." Scientific American,  July 2015: 313 (1), 68–75. Reprinted in Stewart, Amy; Folger, Tim. The Best American Science and Nature Writing 2016  (The Best American Series) (pp. 222-230). Houghton Mifflin Harcourt. Kindle Edition.

    Compare and contrast with the ChatGPT version.

Wednesday, November 8, 2023

Deanery

Filed under: General — m759 @ 9:48 am

By Rahem D. Hamid, Harvard Crimson  Staff Writer
Wednesday, November 08, 2023 at 12:44 am ET

Harvard Dean of Science Christopher W. Stubbs is stepping down
at the end of the academic year, Faculty of Arts and Sciences Dean
Hopi E. Hoekstra announced at a faculty meeting Tuesday.

. . . .

A professor in Physics and Astronomy, Stubbs will continue to advise
Hoekstra on issues regarding artificial intelligence, according to Hoekstra.
Stubbs has made the incorporation of AI at Harvard a priority in recent months
and will be teaching a course on generative AI in the spring.


Musical accompaniment suggested by the previous Log24 post

  "Deans could get no keener reception in a deanery."

The Theorem as Big as the Ritz

Filed under: General — Tags: , , , — m759 @ 8:56 am

From this  journal on Monday, Nov. 6, 2023 — ChatGPT DevDay —

Cullinane Diamond Theorem at
University of the Basque Country

Filed under: General — Tags: , — m759 @ 1:44 am

See also Shibumi  Continues — June 29, 2022.

Tuesday, November 7, 2023

Dreamcatchers

Filed under: General — m759 @ 1:28 pm

The sort of Adult Services I prefer —

Stephen King's Dreamcatcher  (2001) and Brian De Palma's "Body Double" (1984).

If It’s Tuesday . . .

Filed under: General — Tags: , — m759 @ 12:54 pm

See Antwerp in this journal…

Art related to a different location in Belgium —

Monday, November 6, 2023

Letter from Birmingham Grid

Filed under: General — Tags: , , , , — m759 @ 8:48 pm

"Just as Socrates felt that it was necessary to create a tension in the mind
so that individuals could rise from the bondage of myths and half-truths
to the unfettered realm of creative analysis and objective appraisal . . . ."

See also today's previous post, from "Terminator Zero: Rise of the Chatbots."

First OpenAI Developer Conference Is Today

Discuss:

Sunday, November 5, 2023

Art Song

Filed under: General — Tags: , , , — m759 @ 8:37 am

From a December 2021 obituary —

"I'm just sittin' on the dock of the bay
Wastin' time"

Otis Redding

Old-Guy Aesthetics

Filed under: General — Tags: — m759 @ 7:50 am

For Guy Fawkes Day, images from first and last posts —
an alpha and an omega of sorts —
from this journal in the month of December 2021 . . .





Some remarks on an artist who reportedly died
on the second day of that month —

For the Old Guy

Filed under: General — Tags: , — m759 @ 12:51 am

https://www.instagram.com/p/CeB2rA5O4ey/

Saturday, November 4, 2023

Plan 9 from New Haven . . .

Filed under: General — Tags: , — m759 @ 10:38 am

Continues .

Columbian Exposition

Filed under: General — Tags: — m759 @ 9:57 am

Phrase from a Wikipedia article on a "Columbian Exposition" —

"to celebrate the 400th anniversary of Christopher Columbus's
arrival in the New World in 1492"

Id est, 1892.  Another exposition

 

Introduction to the Square Model of Fano's 1892 Finite 3-Space

Matters of Exposition

Filed under: General — Tags: , , , — m759 @ 3:17 am

See also World's Columbian Exposition and an October 12th death.

Patterning

Filed under: General — Tags: — m759 @ 1:59 am

Friday, November 3, 2023

De Colores

Filed under: General — Tags: , — m759 @ 6:51 pm

Doubleday Date

Filed under: General — Tags: , — m759 @ 5:38 pm

"Birthday, death-day — what day is not both?" — Updike

See today's New York Times  report of
an October 12th death, and Log24  posts
tagged Oct. 12 2023.

“About Who”

Filed under: General — Tags: , — m759 @ 2:00 am

Loki  Season 2, Episode 5, minus spoilers . . .

"… then he learns to control his time slipping.
It's not about where, when, or why. It's about who."

Midrash for fans of narrative . . .

Sometimes tattoos are more useful than Post-It notes.

Thursday, November 2, 2023

Chants

Filed under: General — Tags: , — m759 @ 3:02 pm

A related tune for Harrison Ford, still struggling against the Temple of Doom —

No Joke

Filed under: General — Tags: , , , — m759 @ 4:03 am
 

Saturday, April 21, 2018

Kalispell Images

A Getty logo —

For All Souls' Day —

T. S. Eliot — " intersection of the timeless with time …."

Wednesday, November 1, 2023

“Watch the trailer.”

Filed under: General — Tags: — m759 @ 8:14 am

For St. R3 Ross

Filed under: General — m759 @ 6:26 am

Tuesday, October 31, 2023

Würfelspiel

Filed under: General — m759 @ 11:29 pm

For tomorrow, All Saints' Day . . . posts tagged  .

This post was suggested by some 1973 remarks, made on receiving the
Heinemann prize at Göttingen, by a mathematician who reportedly died
on February 19, 2017.

Night Lights

Filed under: General — Tags: — m759 @ 12:49 pm

Some related percussion.

Shelter Journalism

Filed under: General — Tags: , , , , — m759 @ 12:19 pm

In memory of a shelter-magazine editor who reportedly
died on October 17, two posts from that date —

Barbie at the Space Barn and A Fair Thought.

Related art — Square Round and Round Square.

 

“Omega is as real  as we need it to be.”
— “The Osterman Weekend”

Filed under: General — Tags: — m759 @ 11:07 am

For art more closely related to the title "Alpha and Omega,"
see a different view of the above Hoyersten exhibition.

Keith Giffen, 1952-2023

Filed under: General — Tags: — m759 @ 3:46 am

The Note

Filed under: General — m759 @ 2:36 am

Monday, October 30, 2023

Red October Revisited

Filed under: General — Tags: , — m759 @ 9:48 am

A New Yorker  piece from October 7th, 2023 —
"Terry Bisson's History of the Future" . . .

The "May 19th" name "was derived from the birthdays
of Ho Chi Minh and Malcolm X." — Wikipedia

And then there is the May 19 Gestalt . . .

For a prequel of sorts, see a May 19, 2023, arXiv paper —

Related Log24 reading: Other posts tagged Kummerhenge.

Mulder Meets Muldaur

Filed under: General — m759 @ 12:00 am

"Send your camel-toe bed."

Sunday, October 29, 2023

For Nevermore Academy

Filed under: General — Tags: — m759 @ 11:46 pm

Log24 on Friday, April 14, 2023 —

“Why is  a raven like a writing desk?”

Elsewhere on that date —

See also Eric Sheng  at

https://www.ericshengphotography.com/about-avenue
and https://www.instagram.com/ericshengphoto/.

An Endgame for Beckett…
and Multispeech for Joyce

Filed under: General — m759 @ 9:31 pm

"In the service of which"

— a phrase from the previous post

See also the song lyrics in the subtitles of the
end credits in a Matthew Perry film from 2002.

“By these festival rites, from the age that is past…”

Filed under: General — Tags: — m759 @ 3:05 pm

The Black Thumbnail

Filed under: General — Tags: — m759 @ 11:52 am

For the source, click here.

The 4/18 refers to the name  of a Warren, PA, film production company,
Four Eighteen Films." The name itself refers to the April 18th birthday
shared by the company's two founders.

For the date  4/18  in this  journal, see "April 18" and the tag "on0418."
Happy belated birthday.

Annals of Dark Comedy

Filed under: General — m759 @ 5:35 am

Saturday, October 28, 2023

Reviews

Filed under: General — m759 @ 9:43 pm

Spheres of Influence

Filed under: General — Tags: — m759 @ 12:01 pm

For the Adelson* Sphere —

* Sheldon, not Merv (TV producer) or Edward.

Art Space

Filed under: General — Tags: , , — m759 @ 1:19 am

Digital . . .

Physical . . .

Conceptual . . .

Friday, October 27, 2023

Blank Space

Filed under: General — Tags: , , , — m759 @ 5:37 pm

The Ghent Altarpiece version —

A Taylor Swift version —

For Sam Levinson . . .
Spaceballs . . . Merchandising!

Filed under: General — Tags: , , — m759 @ 3:54 pm

Ford vs. Ferrari

Filed under: General — Tags: , — m759 @ 2:59 pm

For the "Ford" part of the title, see the previous post.

The Ferrari part . . .

Burning Man Meets Flaming Cactus

Filed under: General — Tags: , — m759 @ 2:28 pm

    From "Scary Fast," a 2022 short film by Lauren Sick.

Thursday, October 26, 2023

The Old No. 7  Song

Filed under: General — m759 @ 4:13 pm

See as well  this  journal on October 15.

Working Blue

Filed under: General — Tags: , — m759 @ 3:16 pm

“Unfathomable” Art

Filed under: General — Tags: — m759 @ 2:07 pm

The previous post displayed the word "unfathomable" in a
summary of the June 15, 2023, Netflix drama "Beyond the Sea."

Vide  "full fathom five" in this  journal.

Light and Space* —  Facilis Descensus Averno

Filed under: General — Tags: , — m759 @ 4:46 am

A scene, at time-remaining 48:22 in "Beyond the Sea,"
that might be titled "The Landing."

* The "Light and Space" phrase is in memory of an artist who
reportedly died yesterday at 95 in La Jolla, California.

Barbenheimer for Bible Fans:
Valley of the Shadow of the Dolls

Filed under: General — Tags: , , , — m759 @ 12:47 am

Wednesday, October 25, 2023

Dreamgirls:  Kate Mara in  Space Barn!

Filed under: General — Tags: , , , — m759 @ 11:29 pm

The above piece is from Bloomsday 2023.  See also this  journal
on that date, as well as . . .

Posts of October 17 and 19.

Lone Tree

Filed under: General — m759 @ 4:15 pm

Background music: thepiano, from a post of Oct. 7, 2002.

For Judy Chicago, Née Cohen

Filed under: General — Tags: , — m759 @ 2:03 pm

From the University of Chicago Press

The Nutshell:

    Related Narrative:

………………………………………………………………………………………………………..

 

House Call

Filed under: General — Tags: , — m759 @ 6:24 am

"When you build your house
Then call me home"

— Fleetwood Mac, "Sara"

IMAGE- Right 3-4-5 triangle with squares on sides and hypotenuse as base

“If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”

— Henry David Thoreau

See also October 9, 16, 25.

For Oppenheimer… and Indiana Jones,
at Halloween Season

Filed under: General — Tags: , — m759 @ 3:01 am

Commentary on the "Gyrus" book —

http://numero57.net/2007/12/20/archaeologies-of-consciousness/ .

The commentary was written in the time of the winter solstice, 2007.
See also this  journal at that time.

Related musical offering for Doctor Sleep:  Lyrics to Nightshift.

Tuesday, October 24, 2023

Two Views of Mathieu Geometry*

Filed under: General — m759 @ 8:49 pm

For related remarks, see a reference from OEIS, A001438

David Joyner and Jon-Lark Kim,
<a href="http://dx.doi.org/10.1007/978-0-8176-8256-9_3">
Kittens, Mathematical Blackjack, and Combinatorial Codes</a>,
Chapter 3 in Selected Unsolved Problems in Coding Theory,
Applied and Numerical Harmonic Analysis, Springer, 2011,
pp. 47-70, DOI: 10.1007/978-0-8176-8256-9_3.

Today happens to be a related online-publication anniversary —

* A part of what might be called, more generally,. "figurate geometry."

A Bond with Reality:  The Geometry of Cuts

Filed under: General — Tags: , , , — m759 @ 12:12 pm


Illustrations of object and gestures
from finitegeometry.org/sc/ —

Object

Gestures

An earlier presentation of the above
seven partitions of the eightfold cube:

Seven partitions of the 2x2x2 cube in a book from 1906

Related mathematics:

The use  of binary coordinate systems
as a conceptual tool

Natural physical  transformations of square or cubical arrays
of actual physical cubes (i.e., building blocks) correspond to
natural algebraic  transformations of vector spaces over GF(2).
This was apparently not previously known.

See "The Thing and I."

and . . .

Galois.space .

 

Related entertainment:

Or Matt Helm by way of a Jedi cube.

Monday, October 23, 2023

Identity

Filed under: General — m759 @ 11:29 pm

From Walpurgisnacht 2023

From a Google search today —

Elegy for Mrs. Davis*— When Starlets Are Produced

Filed under: General — Tags: , — m759 @ 10:42 pm

Mrs. Davis was the wife of Chandler Davis, an editor of
The Mathematical Intelligencer .

Related reading —

* Vide  "Mrs. Davis"  in this  journal.

Music Meme

Filed under: General — Tags: — m759 @ 3:17 pm

Click for related material.

Another Maniac Monday

Filed under: General — Tags: , , , — m759 @ 2:12 pm

See as well other posts now tagged Maniac Series Begins.

Related reading:  A Sept. 29 review of The MANIAC , a novel.
 

J. Robert Oppenheimer and John von Neumann in 1952.

High Beam

Filed under: General — Tags: , , — m759 @ 1:47 pm

From a Log24 search for "High Beam" —

For the Church of Stephen King

Filed under: General — Tags: , — m759 @ 5:01 am

"All things serve the Beamery."

Little Bitty Pretty Gestalt

Filed under: General — Tags: , — m759 @ 4:39 am

Sunday, October 22, 2023

For Bad Bunny

Filed under: General — m759 @ 10:14 am

In memory of "an influential geometer" who reportedly
died on Monday, September 25 . . .

A check of that date in this journal yields the post
Hicks Nix Styx Pix.

An obit in that post suggests, in turn, a phrase for
last night's SNL host, Bad Bunny —

Cosa Vuestra.

The Yellow Brick House (Not  the Commodores’ Version)

Filed under: General — Tags: — m759 @ 1:19 am

For Emma Watson . . .

For fashion fans, a Truly Tasteless
musical accompaniment . . .

"Itsy Bitsy Teenie Weenie . . . ."

I prefer a companion piece —

"Little Bitty Pretty One."

Saturday, October 21, 2023

Lockscreen: A Beach for KenKen

Filed under: General — Tags: , — m759 @ 11:21 pm

“Proof of Concept” at The New York Times

Filed under: General — Tags: , , — m759 @ 6:11 pm

About the author of the above —

A related questionable "proof of concept" :

Aitchison at Hiroshima in this  journal — a scholar's 2018 investigation
of M24  actions on a cuboctahedon —  and . . .

'Dreaming Jewels' from October 10, 1985

Chapter 11 Continues: A Larger Box

Filed under: General — Tags: , , — m759 @ 12:00 pm

"… really we should use larger boxes." — Ursula K. Le Guin

"The Steiner system S (5, 8, 24) is a block design
made up of 24 points and 759 blocks, each of size 8,
with the property that every 5 points lie in exactly one block.
This design is naturally associated with the Golay code, and
its automorphism group is the simple Mathieu group M24;
see [3, Ch. 11].

3.  J.H. Conway and N.J.A. Sloane, Sphere Packings,
     Lattices and Groups
, Springer-Verlag, New York, 1988."

New Zealand Journal of Mathematics,
Volume 25 (1996), 133-139.
"Markings of the Golay Code," by
Marston Conder and John McKay.
(Received July 1995.)

See also the Harlan Kane Special from Broomsday 2023.
That post relates properties of the 4×4 box (Cullinane, 1979)
to those of the 4×6 box (Conway and Sloane, 1988, without
mention of Cullinane 1979).

For St. Ursula’s Day

Filed under: General — m759 @ 4:28 am

Click to enlarge.

The time loom engineer in "Loki" (Season 2, Episode 3, Oct. 19, 2023) —

"We need to scale the Loom’s capacity to manage
all those new branches, otherwise it will fail."

Ursula K. Le Guin in "Schrödinger's Cat" —

“Where is the cat?” he asked at last.

“Where is the box?”

“Here.”

“Where’s here?”

“Here is now.”

“We used to think so,” I said, “but really we should use larger boxes.”

Adobe Dreamgirls

Filed under: General — Tags: , , — m759 @ 2:57 am

Iconology 2023

Filed under: General — Tags: — m759 @ 1:46 am

Some background on the square patterns shown in recent
posts tagged Iconology 2023

Click to enlarge.

See also Iconology in Wikipedia.

Friday, October 20, 2023

Circle Zen … Continues.

Filed under: General — Tags: , , — m759 @ 8:56 pm

Detail from an Instagram post published on Sept. 24, 2023 —

See also "Circle and Square."

Artfield Invitation

Filed under: General — Tags: , — m759 @ 7:47 pm

Last night's touching dialogue on "Loki" between Victor Timely and
Miss MInutes suggests a review of a recent rather one-sided conversation
of my own —

Thus far, there has been no reply.

The "Loki" dialogue above took place in Chicago, a town repeatedly
described by novelist Willard Motley as a "blue-black panther."

Perhaps the email addressee has in mind the sage advice of
Ogden Nash . . .

"If called by a panther, don't anther."

Scriptural Exegesis

Filed under: General — Tags: , , — m759 @ 11:42 am

The Wikipedia Language Icon from the previous post

Scattering Ashes, Gathering Dust

Filed under: General — Tags: , — m759 @ 10:20 am

Related art —

From Savage Logic

Sunday, March 15, 2009  5:24 PM

The Origin of Change

A note on the figure
from this morning's sermon:

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

"Two things of opposite natures seem to depend
On one another, as a man depends 
On a woman, day on night, the imagined 
On the real. This is the origin of change. 
Winter and spring, cold copulars, embrace 
And forth the particulars of rapture come."

— Wallace Stevens,   
"Notes Toward a Supreme Fiction,"
Canto IV of "It Must Change"

Thursday, October 19, 2023

A “Doctor Sleep” Song…

Filed under: General — Tags: — m759 @ 11:59 pm

For Vincent Patrick, author of Family Business  (1985), who reportedly died on
October 6, 2023, a song that might fit the protagonist of Doctor Sleep

See as well October 6 in posts tagged The Prize Shining.

Mathematics as a Language Game

Filed under: General — Tags: — m759 @ 11:29 pm

From Peter Woit's weblog today —

A background check yields . . .

For the Church of Synchronology . . . Posts now tagged

March Fourth Death.

A Muse’s Mystery Glyphs

Filed under: General — m759 @ 3:46 pm

Norwegian Spaceball Express

Filed under: General — Tags: — m759 @ 3:17 pm

Also on December 13, 2018  (St. Lucia's Day) —

“42 Really Is the Answer”

Filed under: General — m759 @ 2:00 pm

"Don't solicit for your sister, it's not nice . . . ." — Tom Lehrer

The Lineweaver* Citation

Filed under: General — m759 @ 1:32 pm

 * See recent posts on the Schwartz-Metterklume method.

For Emma Watson — Elemental: Fire and Water

Filed under: General — Tags: — m759 @ 12:55 pm

The Metterklume Polonaise

Filed under: General — Tags: , — m759 @ 4:00 am

"A New View of All Objects in the Universe" — October 18, 2023 —

Math for Barbie

Filed under: General — Tags: , — m759 @ 2:56 am

Continued from "Barbie at the Space Barn," Oct. 17.

"Open the Space Barn doors, Barbie." —

For those who prefer the Hollywood  part of  L.A.,
there is Barbierella

Wednesday, October 18, 2023

For St. Luke’s Day — Double Death

Filed under: General — Tags: — m759 @ 4:22 pm

The Schwartz Is With Her.

Filed under: General — Tags: , — m759 @ 3:12 pm

See also, in this  journal, Spaceballs.

A Raid on the Articulate

Filed under: General — Tags: — m759 @ 2:42 pm

Song for an X-Girl:
“Bring me my bride!”— Sondheim

Filed under: General — m759 @ 1:24 pm

http://log24.com/log/pix23/231018-X-Girl-at-Twitter.jpg

In other X-Art news —

Tuesday, October 17, 2023

“A Fair Thought” — Hamlet

Filed under: General — Tags: , — m759 @ 6:56 pm

"Nothing can come from nothing," or
"Ex nihilo nihil fit " — Classic adage

"Creation is the birth of something, and
something cannot come from nothing."
Photographer Peter Lindbergh

See as well Peter Lindbergh's short film of
Emma Watson with goat and horse.

"Elemental, my dear Watson."

The Venice Mirror: July 21, 2023

Filed under: General — Tags: , , — m759 @ 10:35 am

Shadow Hacking note:  See The Monster (Log24, Guy Fawkes Day 2015).

Monday, October 16, 2023

A Harlan Kane Rite Aid Special:  Chapter 11

Filed under: General — Tags: , , — m759 @ 11:01 pm

From a search in this journal for "Chapter 11" —

 

Inner structure —

IMAGE- Hyperplanes (square and triangular) in PG(3,2), and coordinates for AG(4,2)

The above three images share the same
vector-space structure —

   0     c     d   c + d
   a   a + c   a + d a + c + d
   b   b + c   b + d b + c + d

a + b

a + b + c

a + b + d

  a + b + 
  c + d

   (This vector-space a b c d  diagram is from  
    Chapter 11 of Sphere Packings, Lattices 
    and Groups
 , by John Horton Conway and
    N. J. A. Sloane, first published by Springer
    in 1988.)

For Harlan Kane — The Heidegger Conundrum

Filed under: General — Tags: , , — m759 @ 11:18 am

Where's Y?

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