Log24

Wednesday, November 12, 2025

Annals of Blue Politics:
“Time to rearrange the deck chairs?”

Filed under: General — Tags: — m759 @ 7:35 pm

"IT: The Widener" Continues.

The trove of documents related to Jeffrey Epstein 
that were released on Wednesday was titanic —
more than 20,000 pages.

Glenn Thrush in The New York Times  today

“Wonderful Life” Meets “Coordinated Mapping”

Filed under: General — Tags: — m759 @ 6:00 pm

Addendum:

IT: The Widener

Filed under: General — Tags: — m759 @ 5:04 pm

Twelfth Step for Stephen King . . .
AA AI‽

Filed under: General — Tags: , — m759 @ 4:18 pm

Related horror:  Colorful Story.

Abstract Politics

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

From a search in this journal for "Roof Beam" —

Related reading . . . Gifted Special and
Schlossberg … The Interview.

Robby’s Song

Filed under: General — Tags: , — m759 @ 5:47 am

See as well this  journal on the above
YouTube date — Oct. 17, 2025.

Tuesday, November 11, 2025

New York Times motto (adapted) — “Get the full experience”

Filed under: General — Tags: — m759 @ 9:47 pm

For Susan Sontag (and Red One):
Notes on Camp

Filed under: General — Tags: , — m759 @ 12:46 pm

From a post of June 13, 2008

Jessica Hagy, card 675: The Holy Trinity

Also on June 13, 2008 —

From yesterday's Happy Birthday post, a Fourth Dimension Ball illustration —

Pinocchio: 'Multiplane Technicolor'

Monday, November 10, 2025

Happy Birthday, Kiernan Shipka

Filed under: General — Tags: , — m759 @ 3:36 pm

"Yesterday my life was duller
Now everything's Technicolor"

— Hilary Duff song lyric

Pinocchio: 'Multiplane Technicolor'

 

For Harlan Kane: A Belt-Buckle Tale

Filed under: General — m759 @ 2:54 pm

For the Church of Synchronology, a date check —

"The almond tree flourisheth." — Ecclesiastes 12:5.

The Joy

Filed under: General — Tags: , — m759 @ 1:26 pm

The Almond

Filed under: General — Tags: , — m759 @ 12:58 pm

Sunday, November 9, 2025

Bloomberg, Berners-Lee, and
Chaos vs. “Rigid Tables”

Filed under: General — Tags: — m759 @ 2:16 pm

A rather different perspective . . . Static Pyramid vs. Dytnamic Array

Two other views of Whitehead's work . . .

Related images:  Parmy Olson herself and "the test of time" on Dec. 11, 2024,
as well as a geometric tomb raider, also on Dec. 11, 2024.
 

Windows Programming

Filed under: General — Tags: — m759 @ 12:22 pm

"Does the phrase 'in the pot'
mean anything to you?"

"No? How about 'nine days old'?"

IMAGE- Joaquin Phoenix, corridor scene in 'The Master'

A Title for Kalpana Mahalingam* —
Monolithic Parallelism**

Filed under: General — Tags: — m759 @ 2:16 am

The date — Dec. 28, 2017 — on an arXiv paper suggests
a review of the Log24 posts of December 25-31, 2017.

From Christmas 2017

"See the remarks today of Harvard philosophy professor Sean D. Kelly
in The New York Times :

Alexander's "15 properties that create the wholeness and aliveness" —

This is the sort of bullshit that seems to go over well at Harvard.
See Christopher Alexander in this journal."

* See last night's post on Array Studies.

** See "In Search of Monolithic Tenure," as well as the 
meaning in Sanskrit of the name "Kalpana Mahalingam,"
a post on Peter J. Cameron's "Seventh Seal," and 
a four-color monolith (one of 105 such structures).

Saturday, November 8, 2025

Array Studies: “How Deep the Darkness”

Filed under: General — Tags: , , — m759 @ 8:03 pm

http://www.log24.com/log/pix08/080413-Marabar.jpg

Judy Davis in the Marabar Caves

See also "Resplendent Triviality" in this journal.

Deep Chomsky … Continues.

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

Related art —

Friday, November 7, 2025

In Search of Hidden Structure

Filed under: General — Tags: , — m759 @ 8:59 pm

In Memoriam:  James D. Watson . . .

   The Double Array
       (Isomorphic Formalisms)

Fields Comment

Filed under: General — Tags: — m759 @ 2:50 pm

“The Prize Shining” . . . Continues.

Filed under: General — Tags: — m759 @ 12:15 pm

“Triangulating the Isomorphic Formalisms”

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

The natural habitat of the above four-color figures is the Klein quadric.

Thursday, November 6, 2025

Sequel

Filed under: General — m759 @ 11:25 pm

Wag the Tag . . . Continues.

♫ “Only a Paper Moon” *

Filed under: General — Tags: — m759 @ 8:44 pm

* Vide  Wikipedia.

Moon Shot

Filed under: General — Tags: , — m759 @ 8:26 pm

“Beyond Forgetfulness” — Wallace Stevens

Filed under: General — Tags: — m759 @ 1:54 pm

For Josefine*

Filed under: General — Tags: — m759 @ 1:14 pm

     * See Your Pony in this  journal.

On Middlemarch: “The Patterns Are Out There!”

Filed under: General — Tags: , — m759 @ 11:10 am
 

The Hunt for the World’s Oldest Story

From thunder gods to serpent slayers, scholars are reconstructing myths that vanished millennia ago. How much further can we go—and what might we find?

By Manvir Singh in The New Yorker

October 13, 2025
. . . .

The Reverend Edward Casaubon is Eliot’s grand study in futility: an aging, self-important, faintly ridiculous clergyman who has dedicated his life to an audacious quest. Casaubon is convinced that every mythic system is a decayed remnant of a single original revelation—a claim he plans to substantiate in his magnum opus, “The Key to All Mythologies.” He means to chart the world’s myths, trace their similarities, and produce a codex that, as Eliot puts it, would make “the vast field of mythical constructions . . . intelligible, nay, luminous with the reflected light of correspondences.”

The ill-fated project founders between the unruly diversity of cultural traditions and the fantasy of a single source, between the expanse of his material and the impossibility of ever mastering it, between the need for theory and the distortions it introduces. These failures are deepened by Casaubon’s limitations—his pedantic love of minutiae (he “dreams footnotes”) and his refusal to engage with scholarship in languages he doesn’t know (if only he’d learned German).

Casaubon’s quest stands as both an indictment of overreach and a warning about the senselessness of such sweeping comparisons. But is this entirely fair? The patterns are out there. Floods, tricksters, battles with monsters, creation and apocalypse—sometimes the resemblances are uncanny. 
. . . .

    "Before time began . . ." — Optimus Prime

The magic square of Doktor Faustus: its structure

Wednesday, November 5, 2025

Annals of Academia:
In Search of Monolithic Tenure

Filed under: General — Tags: , , , — m759 @ 9:28 pm

"Victory in war should be received
with funeral ceremonies.
"
 

Or vice-versa.

Bullshit Studies — Boole Meets Dickens:
Triangulating the Isomorphic Formalisms

Prequel

Filed under: General — Tags: , — m759 @ 2:20 pm

Of Language der Stern

Filed under: General — Tags: , — m759 @ 1:25 pm

The Gospel According to Commonweal . . .
Via CHE, The Chronicle of Higher Education*

Filed under: General — Tags: , — m759 @ 12:28 pm

… And according to Marvel Comics

* Illustration

Baggage Claim

Filed under: General — Tags: — m759 @ 10:58 am

Related reading —

Also by Alexander Stern

Cover art source: Albrecht Dürer, 1510.

“Remember, Remember, the Fifth of November”

Filed under: General — Tags: — m759 @ 3:38 am

And perhaps also . . .

Tuesday, November 4, 2025

In Memoriam

Filed under: General — m759 @ 9:52 am

Note the publication date of the above Devil's Gate image.

See as well this  journal on August 23, 2020.

Monday, November 3, 2025

“Relentlessly”

Filed under: General — m759 @ 9:36 pm

The New York Times  reports the Nov. 3 death of an actress —

The Monolith Mystery

Filed under: General — Tags: , , — m759 @ 1:25 pm

Transcript of NotebookLM video
"The Mystery of Brick Space" —

Okay, so our first clue
0:35
comes from the movies. You've got
0:37
Stanley Kubrick's masterpiece, 2001: A 
0:39
Space Odyssey. And this … this bizarre
0:42
black monolith just shows up. It's this
0:45
object of perfect almost unsettling
0:47
geometry that always signals some huge
0:50
leap in evolution. And what's really
0:52
wild is that while Kubrick was filming
0:53
this, minimalist artists like John
0:55
McCracken were creating nearly identical
0:57
sculptures totally independently of the
1:00
film. 

Scholium 

Related material 

From a post for the opening of Cullinane College
on January 29, 2003:

"Young man sings 'Dry Bones'"

Illustrations:

http://www.log24.com/log/pix10B/101228-ThePrisonerTrial.jpg

http://www.log24.com/log/pix10B/101228-ThePrisonerEandE.jpg

See as well "Monolith" in this  journal.

Bullshit fans may also enjoy "the monolith to El" 
in James Michener's archaeology epic The Source :

Levels of Tell Makor, from Michener's 'The Source'

Sunday, November 2, 2025

The Mystery of Brick Space . . .

Filed under: General — Tags: — m759 @ 11:42 pm

. . . is the title of a NotebookLM video now on YouTube —

See https://youtu.be/6zUKg4dNEbM .

The current NotebookLM summary for the Diamond Theory notebook, the source of the above video —

"These sources comprehensively explore the deep connections between finite geometry, particularly the projective spaces PG(3,2) and PG(5,2) over GF(2), and various topics in combinatorics, group theory, and coding theory. Central to this discussion are the Miracle Octad Generator (MOG) and the Cullinane Diamond Theorem, which model highly symmetric structures like the affine group AGL(4,2) and the sporadic Mathieu group M24 using geometric figures such as 4×4 arrays or 'brick space.' The geometry of PG(3,2), described as the 'smallest perfect universe,' is shown to be crucial, relating to concepts like Conwell's Heptads, Klein correspondence, spreads, and mutually orthogonal Latin squares (MOLS), which also have applications in error-correcting codes and quantum information theory involving n-qubits. Ultimately, these texts demonstrate how abstract mathematical symmetry is intrinsically linked across algebra, geometry, and visual art, often leveraging automorphism groups to reveal structural invariants."

Worth the Click?

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

https://www.facebook.com/stories/104825665014664/

New Feature*

Filed under: General — Tags: — m759 @ 9:42 am

"The visitors are steered away from shamanism’s dark undercurrents…."

London Review of Books, Vol. 47 No. 16 · 11 September 2025 ·
Review of Shamanism: The Timeless Religion  by Manvir Singh.

* Vide  a scene from Season 2 of "Wednesday" —

City of Angels: “A Pretty Good Dodge”

Filed under: General — Tags: , — m759 @ 12:23 am

Saturday, November 1, 2025

Moneyball: Disaster Dodger

Filed under: General — Tags: — m759 @ 4:10 pm

Brick Space Update

Filed under: General — Tags: , — m759 @ 1:22 pm

Last night at the museum . . .

Today . . . The Mystery of Brick Space

Brick Art

Filed under: General — Tags: — m759 @ 4:29 am

The previous post, on a Han tomb brick, suggests a review . . .

Friday, October 31, 2025

Trick and Treat:
Tomb Raider Art

Filed under: General — Tags: , — m759 @ 6:26 pm

Croft Signs In

Filed under: General — Tags: — m759 @ 5:13 pm

Undercroft* with Shadow**

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

* Marvel Comics concept

** Old radio script by Alfred Bester

Thursday, October 30, 2025

Devil’s Night Doodle:
Go Ogle

Filed under: General — Tags: — m759 @ 5:59 pm

Halloween Spell from St. Luke’s Day

Filed under: General — Tags: , — m759 @ 1:16 am

See also other Writer's Block posts.

Wednesday, October 29, 2025

“Accentuate the Positive” —
Song lyric, “Midnight in the Garden of Good and Evil”

Filed under: General — m759 @ 7:04 pm

Facebook today, photo from Sara Aiello Studio.

Tuesday, October 28, 2025

October 28 Update

Filed under: General — m759 @ 9:48 am

There was an update at  9:48 AM EDT Oct.  28, 2025,
to an Oct. 26 post on the geometry of logic.

Sunday, October 26, 2025

Minority Opinion:
The Geometry of Logic Is Galois Geometry

Filed under: General — Tags: , — m759 @ 11:02 pm

See The Righteous Gemstone and Boole vs. Galois.

Update of  9:48 AM EDT Oct.  28 . . .

Related material —

Markdown version uploaded Oct. 28, 2025, to NotebookLM.

Saturday, October 25, 2025

Wag the Tag . . . Continues.

Filed under: General — Tags: , , — m759 @ 12:40 am

IMAGE- Galois vs. Rubik

Friday, October 24, 2025

The Weatherman’s Valentine:
Come on, pretty mama” — Song lyric

Filed under: General — Tags: — m759 @ 2:14 pm

"Into this house we're born . . . ." — Another song lyric.

Updates, later the same day . . .

Related Art —

From the post "A Concrete Universal," August 18, 2007 —

“No matter how the film is done,
 you won’t like it.“

— Robert Redford to 
     Robert M. Pirsig in Lila  

Proper Form

Filed under: General — Tags: , — m759 @ 1:35 pm

The Rosenfeld Program

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

The final post in a search today for Rosenfeld  in this journal —

Thursday, October 23, 2025

Shadow Work

Filed under: General — Tags: , — m759 @ 12:26 am

Epigraph by Valery to Pullman's 'The Rose Field'

Update of about 1:30 PM EDT Thursday, October 23, 2025 

https://muse.jhu.edu/pub/1/article/663593/pdf

From La Jeune Parque by Paul Valéry

Ned Balbo

The Hopkins Review

Johns Hopkins University Press

Volume 10, Number 2, Spring 2017

pp. 168-178

In lieu of an abstract, here is a brief excerpt of the content:

Paul Valéry's La Jeune Parque is widely considered one of the most important poems of the twentieth century, yet it's one that few American readers know. It's easy to see why. The poem is written in the French heroic line—rhymed alexandrines (hexameters)—held together by extraordinary attention to syntax, enjambment, and pacing. Most of the line breaks correspond to natural syntactic turns or punctuation, many are end-stopped, and well-placed caesuras abound (as we'd expect in hexameters). It is difficult to produce an English equivalent that conveys the original's elegance and fluency. Add to these factors a narrative in which nothing much happens, at least not in the usual sense: A young woman stands outside on a starry night, overlooking the ocean, contemplating her connection to time, death, and the natural world as day approaches. In Jacques Duchesne-Guellemin's summary, the Young Fate "presents herself to us with her thoughts, her memories, her questionings, all on the verge of tears; bristling, listening to her own heartbeats; blushing with shame or pale with fainting" ("Introduction to La Jeune Parque," Yale French Studies 44: 1970). Despite Valéry's success in depicting shifting emotional states through vivid metaphor and images, this is not a recipe for easy reading.

Yet the poem's influence—and its author's—are undeniable. Writing in the June 1982 Critical Quarterly, Tony Pinkney observed, "Few writers commanded as much of T. S. Eliot's critical attention as did Paul Valéry.… Eliot was convinced that it was Paul Valéry 'who will remain for posterity the representative poet, the symbol of the poet, of the first half of the twentieth century—not Yeats, not Rilke, [End Page 168] not anyone else.'" Eliot's introduction to Valéry's The Art of Poetry (Bollingen edition) confirms his admiration for the poet some call "the last symbolist"—"Valéry in fact invented, and was to impose upon his age, not so much a new conception of poetry as a new conception of the poet"—and Eliot further maintains that Valéry's two greatest poems (La Jeune Parque and "Le Cimetière Marin") are "likely to last as long as the French language."

Eliot is not the only world poet Valéry influenced. Tony Brinkley points out that echoes of "Le Cimetière Marin" are present in the "oceanic rhythms" of Wallace Stevens poems such as "An Ordinary Evening in New Haven," and he also reminds us that one of Rilke's last creative projects was to translate the poetry of Valéry ("Reading Valéry in English," Cerise Press 3:7, 2011). But not La Jeune Parque, which, according to Rilke, was "untranslatable … (if only someone could convince us otherwise!)." Years later, in response, Paul Celan attempted to do just that in Die junge Parze, a version that was more Celan's than Valéry's. The Young Fate has found her way into Italian and Spanish versions, too. For those seeking a look at early editions, MoMA's permanent collection includes a beautiful 1921 edition published in Paris by Revue Nouvelle Française with a lithograph by Picasso.

La Jeune Parque has attracted several translators to English. The versions most widely available are those by David Paul (in Paul Valéry: An Anthology, Princeton University Press, 1976), and a version by Jackson Mathews (in Selected Writings of Paul Valéry, New Directions, 1950/1964). Both follow Valéry's pace in English texts that literally parallel the original—in part because the original's rhymed alexandrines, and the poem's length, are central to the ways that Valéry's thought unfolds. To alter the pacing would undermine the poem's intensity—the way its speaker responds to constantly changing perceptions.

But the differences are instructive: Paul's version ("The Young Fate") is faithful to the author's content in unrhymed lines that fall loosely into pentameter or hexameter, while Mathews's "Fragments from 'The Youngest of the Fates'" accepts the challenge of producing [End Page 169] an English version in smoothly rhymed heroic couplets. To a….

Another brief summary . . .

"Naked beneath the veil of living colors . . . ."

Colors —

Beneath the veil —

"You've got to pick up every stitch . . . ." — Song lyric

Wednesday, October 22, 2025

Architecture: Alt-Modernism

Filed under: General — Tags: — m759 @ 2:36 pm

A search for "Modernism" in this journal yields . . .

Related material —

Return of the King . . .
With Royal Garnet!

Filed under: General — Tags: — m759 @ 12:29 pm

Louis H. Kauffman on the Logic Garnet —

"This is a remarkable connection of polyhedral geometry with basic logic. The meaning and application of this connection is yet to be fully appreciated. It is a significant linkage of domains. On the one hand, we have logic embedded in everyday speech. One does not expect to find direct connections of the structure of logical speech with the symmetries of Euclidean Geometry. It is the surprise of this connection that appeals to the intuition. Logic and reasoning are properties of language/mind in action. Geometry and symmetry are part of the mindset that would discover eternal forms and grasp the world as a whole. To find, by going to the source of logic, that we build simultaneously a world of reason and a world of geometry incites a vision of the full combination of the temporal and the eternal, a unification of action and contemplation. The relationship of logic and geometry demands a deep investigation. This investigation is in its infancy."

— Louis H. Kauffman, "The Mathematics of Charles Sanders Peirce."
Cybernetics & Human Knowing, Vol. 8, no. 1–2, 2001, pp. 79–110

Wikpedia on the Logic Garnet —

Zellweger himself reportedly died on August 7, 2022.

Tuesday, October 21, 2025

The Walk Talk

Filed under: General — Tags: — m759 @ 12:13 pm

From "The Hemingway Clause" (May 4, 2023)

Sorkin in Paris:  Walk and Talk

See also  http://m759.net/wordpress/?s=Walk+Talk.

The Garnet MacGuffin

Filed under: General — Tags: , — m759 @ 11:35 am

“The Thing and I” . . .
The Commedia Continues.

Filed under: General — Tags: — m759 @ 10:24 am

See also this  journal  on the above YouTube date.

Monday, October 20, 2025

Translation

Filed under: General — m759 @ 12:13 pm

A word from Sunday's scholium

AI Overview: "The word 'hull' comes from Old English hulu  meaning 'husk' or 'pod' …."

For the Pod People —

'Moth-eaten musical brocade' quote

AI Overview: "The city name 'Hull' is a separate origin . . . ."

Vide  Ron Shaw of Hull.

Uhrsprache

Filed under: General — m759 @ 5:23 am

For Lily and the Sunshine Girls . . . 

and James Joyce —

     Illustration . . .

The Six Fix:  Zip!

Sunday, October 19, 2025

“Das Nichts Nichtet” … Scholium

Filed under: General — m759 @ 1:10 pm


 

Cinematic Followup:


 

Literary Followup:

Being There, by Jerzy Kosinski

Masonic pyramid in 
'Being There' (co-writer of screenplay-- Robert Jones)

Funeral scene from "Being There" (1979)

The “No Kings Day” Followup

Filed under: General — Tags: , — m759 @ 12:20 pm

https://www.louvre.fr/en/explore/
the-palace/sun-gold-and-diamonds

https://www.npr.org/2025/10/19/
nx-s1-5579509/thieves-steal-priceless-jewels-louvre

Annals of Dark Comedy

Filed under: General — m759 @ 10:45 am

"The weave of nature" 

— Phrase from a Nobel winner's obituary yesterday
 

'The Eddington Song'

Saturday, October 18, 2025

News for St. Luke’s Day

Filed under: General — Tags: — m759 @ 12:06 pm

Resonance Art Event:  Dies Natalis

Filed under: General — Tags: , , — m759 @ 11:02 am

March 9, 2025, in this  journal . . . "Resonance"

" 'Resonance' represents an intricate and multi-faceted experience
that pushes the boundaries of conventional art and collaboration.
Conceived by the visionary studio of Gregory and Judith Beylerian
in collaboration with the acclaimed multimedia artist Marcela Nowak,
this exceptional event brought together diverse attendees to engage in
a fully immersive experience aimed at creating resonance amongst the
participants."

https://www.issuewire.com/a-multi-dimensional-journey-resonance-art-
event-unveils-an-immersive-fusion-of-art-human-connection-and-metaverse-
1777395622653633
… September 18, 2023.

Foucault in the Blackboard Jungle

Filed under: General — Tags: — m759 @ 9:22 am

"When all the archetypes burst out shamelessly, we plumb the depths
of Homeric profundity. Two cliches make us laugh but a hundred cliches
move us because we sense dimly that the cliches are talking among themselves,
celebrating a reunion . . . Just as the extreme of pain meets sensual pleasure,
and the extreme of perversion borders on mystical energy, so too the extreme
of banality allows us to catch a glimpse of the Sublime."

— Umberto Eco, “Casablanca: Cult Movies and Intertextual Collage” (1984)
from Travels in Hyperreality.

Facets and Labyrinth: The Diptych Date

Filed under: General — Tags: , , — m759 @ 8:06 am

This  journal on the above TikTok posting date —

Some backstory . . .

See as well the previous  Log24 post, "A Spell."

Friday, October 17, 2025

A Spell

Filed under: General — Tags: , , — m759 @ 1:41 pm

"Time casts a spell on you but you won't forget me
I know I could have loved you but you would not let me"

— Stevie Nicks lyrics to an artist's video today. 

Tuesday Weld in 1972 film of Didion's 'Play It As It Lays'

Note the making of a matching pattern.

Edge Day Meditation

Filed under: General — Tags: , — m759 @ 12:29 pm

See as well yesterday's Story Space post.

Sextet Space Cube

Filed under: General — Tags: , , — m759 @ 11:45 am

Thursday, October 16, 2025

“What a Difference an ‘E’ Makes” . . . Continued.

Filed under: General — Tags: — m759 @ 4:24 pm

For Stan Ulam and Some Dead Hungarians:
The Big Epsilon

Filed under: General — Tags: , — m759 @ 2:45 pm

Click for the most recent related Wikipedia article.

For Red One:
Das Geheimnis der Einheit

Filed under: General — Tags: , , — m759 @ 2:13 pm

Related reading —
The "E" favicon in today's previous post, and "Einheit" in this journal.

“Crux” Continues.

Filed under: General — Tags: — m759 @ 1:34 pm

Click here to search for "Crux" in this journal.

Latin Lesson at Karloff Prep

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

Related meditation . . . The "Back 10" symbol to the left of the donut shop door
above suggests a look at Oct. 16, 2015, in other posts now tagged Backdancing.

Story Space: “The Greek Letter”

Filed under: General — Tags: , — m759 @ 3:37 am

For this year's winner of the Nobel prize for literature,
a Hungarian enthusiast of run-on sentences whose "bible"
is said to be the classic novel about Cuernavaca by 
Malcolm Lowry Under the Volcano . . .

As season three of "The Diplomat" unfolds, I visit my
memory garden to recall the time I sat with Judge Flick in his
chambers at my hometown courthouse to get a reference for
my application to Harvard and noticed on his desk a copy of
E. B. White's "little book" on prose style which, along with
a library book by Norbert Wiener, may have influenced my 
mentioning to the judge the rather strange word "cybernetics,"
derived from the term for the steersman of the ship of Odysseus
who was lost at sea in Homer's epic tale.

"Wiener" of course is another term for a resident of Vienna.
And so, returning to much more recent memories — from 
yesterday —  of the long strange journey that has been my life . . .

Two references from a much less subjective  and much more
objective  tale that might amuse the late Hermann Weyl

Related picture from a cartoon graveyard —

Wednesday, October 15, 2025

Sextet Space

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

“Perhaps the philosophically most relevant feature of modern science
is the emergence of abstract symbolic structures as the hard core
of objectivity behind— as Eddington puts it— the colorful tale of
the subjective storyteller mind.”

— Hermann Weyl, Philosophy of  Mathematics and
    Natural Science 
, Princeton, 1949, p. 237

Melissa C. Wong, illustration for "Atlas to the Text,"
by Nicholas T. Rinehart:

The above fanciful illustration pictures 6*9=54 colored squares on the six 
faces of a 3x3x3 cube.

Compare and contrast the Aitchison  labeling, not unlike the one above,
of 6*4=24 unit squares (or, equivalently, 24 pips  at the squares' centers)
on a 2x2x2 cube.

Now consider how the 8-square "brick" of R. T. Curtis may be colored with
four colors using the 105 ways to partition its eight squares into four 2-sets.

By analogy, the 24  squares on a cube's  surface, as above, afford a cubical
space for applying six  colors to the sextet  partitions (into six 4-sets) of Curtis's
Miracle Octad Generator (MOG), using Aitchson's cubical model (with, of course,
the parts to be moved being pips or squares rather than cuboctahedron edges). 

The 4-coloring of Curtis bricks is useful in picturing the Klein correspondence.
Are there similar uses of  cube  6-colorings? Or 4-colorings? (Group actions on
a 6-set are of considerable combinatorial and algebraic interest because of
the exceptional outer automorphism of S6.)

For a colored presentation of sextet space modeled with a rectangle,
as in the Curtis MOG, see . . .

https://xenon.stanford.edu/~hwatheod/mog/mog.html .

An Introibo for Loeb

Filed under: General — Tags: , , — m759 @ 11:35 am

Nabokov's Transparent Things :

"Its ultimate vision was the incandescence of a book or a box
grown completely transparent and hollow.  This is, I believe, it :
not the crude anguish of physical death but the incomparable
pangs of the mysterious mental maneuver needed to pass from
one state of being to another.  Easy, you know, does it, son."

Tuesday, October 14, 2025

Words and Pictures

Filed under: General — Tags: , — m759 @ 4:20 pm

The great illustrator Drew Struzan reportedly died yesterday at 78.

In memoriam . . .

 "After completing the extensive artwork required
for the campaign of Indiana Jones and the Kingdom
of the Crystal Skull
, Struzan announced his retirement
on September 3, 2008.[26]

26.  "Drew Struzan Retired". TheRaider.net. April 9, 2008.

Wikipedia

This  journal shortly after the above Sept. 3, 2008, announcement —

Words

Pictures

Words and Pictures

Annals of AI Research: The Psi Mapping

Filed under: General — Tags: — m759 @ 1:50 pm

Clicking "Explain the ψ mapping" led to Grok attempting to retrieve
a 1992 paper by Baartmans et al. from sciencedirect.com, which has
a captcha to block robot access. This led to . . .

For non-robots, the relevant sciencedirect.com page is . . .

Alphonse Baartmans, Walter Wallis, Joseph Yucas,
A geometric construction of the Steiner system S(4, 7, 23),
Discrete Mathematics, Volume 102, Issue 2, 1992, Pages 177-186,
ISSN 0012-365X,
https://doi.org/10.1016/0012-365X(92)90052-H.
(https://www.sciencedirect.com/science/article/pii/0012365X9290052H)
Abstract: The Steiner system S(4, 7, 23) is constructed from the geometry of PG(3, 2).

Some background from Google's AI Overview


My own illustration of "a line lying entirely within the quadric"

Upcoming

Filed under: General — m759 @ 8:06 am

Matrix Theory: Contra Faustus

Filed under: General — Tags: , — m759 @ 7:21 am

The University of Ghent animation in the previous post suggests
a check of the author's other pages. One such offering:

For the Church of Synchronology (and Halloween season) —

One of the April 25, 2015, posts now tagged Contra Faustus:

Monday, October 13, 2025

To the Church of Synchronology, Greetings:
Geometry for Columbus (and Dali)

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

Also on January 16, 2016 —

Source of animated gif: https://cage.ugent.be/~hs/polyhedra/dodeca.html.

Related reading —

Unfortunately, the volume of the dodecahedron formed by
unfolding a cube as in the University of Ghent animation above
is not  double that of the cube, since refolding the cube leaves
an empty space inside … not  shown in the Ghent animation.

But taking six congruent square pyramids  that form a cube and using
them to cover the faces of a second, congruent, cube yields a 
rhombic  dodecahedron. This does offer a sort of solution to the
Delian problem provided the new rhombic-dodecahedral  altar is
found to be fit for ceremonial use. See . . .

Scholium

Filed under: General — Tags: — m759 @ 3:15 am

Sunday, October 12, 2025

In Memory of John Searle:
Decoration for a Chinese Room

Filed under: General — Tags: — m759 @ 4:06 pm

The New York Times  reports today that Searle died on September 16, 2025.

The Soul Stone

Filed under: General — Tags: — m759 @ 12:41 pm

Annals of Bulk Apperception:
The Bracketing

Filed under: General — Tags: — m759 @ 6:33 am

See posts now tagged The Bracketing.

Saturday, October 11, 2025

Annals of Entertainment:
The Kamala Quote

Filed under: General — Tags: — m759 @ 10:47 pm

Claude Code:  Idea to V1

Filed under: General — Tags: , — m759 @ 3:45 pm

Claude in "Notorious" (1946) —

"I'm in with the in grid, I go where the in grid goes."

Midrash for storytellers . . .

“Here’s what to know.”

Filed under: General — m759 @ 5:56 am

"Pinned"

Friday, October 10, 2025

Patterning Windows

Filed under: General — Tags: — m759 @ 12:32 pm

Click for some related posts.

See also an AI Overview —

October 9 Posts . . .

Filed under: General — m759 @ 12:09 pm

At another weblog, ninevine.org

Wednesday, October 8, 2025

Cube-Brick Columns

Filed under: General — Tags: , , , — m759 @ 4:58 am

This post was suggested by yesterday's update to
the "Analogy Between Analogies" post of October 6.

The reason for the above columns . . .

The action of S8 on the rows of an 8-row 3-column matrix

000
001
010
011
100
101
110
111

is intimately connected, via the 30 labelings of a Fano plane
and via the Klein quadric in PG(5, 2), with the action of a
group of order 322,560 on the 16 squares of a 4×4 array.
See Conwell, 1910 [1] and the Log24 tag 105 partitions.

1. Conwell, George M. “The 3-Space PG(3, 2) and Its Group.”
Annals of Mathematics, vol. 11, no. 2, 1910, pp. 60–76.
JSTOR, https://doi.org/10.2307/1967582.
 

For those who prefer narratives  to mathematics: The Cubes.

Tuesday, October 7, 2025

Fano-Plane Incidence-Matrix Structures

Filed under: General — Tags: — m759 @ 3:11 pm

How best to depict the 30 essentially different such structures is
not clear. See an update to yesterday's post on the structures.

Seventh

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

For fans of the Halloween season:  

Partial Horror,  A Seventh Seal, and Four-Color Monolith.

Monday, October 6, 2025

Analogy Between Analogies

Filed under: General — Tags: , — m759 @ 9:27 pm

Consider . . .

A. The nontrivial analogy between the two parts of the well-known natural
15+15 partition of the 30 labelings of the Fano plane PG(2, 2)

B. The nontrivial analogy between the two parts of the well-known natural
15+15 partition of the 30 planes of the Klein quadric in PG(5, 2)

Are A and B nontrivially analogous? If so, how?

Update of 6:58 PM EDT Oct. 7 . . .

Hint:

Use as labels for PG(2, 2) points the seven nonzero vectors in the
3-space over GF(2), expressed as 001, 010, 011, 100, 101, 110, 111.
Then form three seven-digit vectors by taking the first, second, and third
digit in each 3-digit vector. View these seven-digit vectors as points of
the Klein quadric in PG(5, 2).

Vibe-coded Illustration of
30 Fano-Plane Labelings

Filed under: General — Tags: — m759 @ 8:11 pm

(Distinctness as labelings  requires verification.)

Update of 1:35 PM EDT Oct. 7 

The above incidence matrices are clearly distinct as matrices, but
whether they show the well-known 30 labelings that are structurally
distinct as labelings  is not clear. There seems to be little discussion
of Fano-plane incidence matrices on the Web. One example of such
a matrix with a well-formed structure of cyclically shifted rows —

The October Country:
“Bradbury, Aiken … Aiken, Bradbury”

Filed under: General — Tags: , , , — m759 @ 12:03 pm

Bradbury  …  Aiken.

Related reading for fans of Bradbury's phrase
"patterning windows" and/or Aiken's phrase
"shadow guests" —

The Strong Law of Small Shapes (May 29, 2024).

Sunday, October 5, 2025

Math Hell

Filed under: General — Tags: , — m759 @ 11:05 am

The Hieronymus Bosch reference in a post yesterday morning
was suggested in part by the surrealistic drama "Changing Stations"
by one Victor Snaith. Snaith reportedly died at 77 on July 3, 2021.

He was a British professor of mathematics. Vide  his obituary.

See also this  journal on Snaith's reported death date, in other posts
tagged The Holy Field.

Some backstory:  Snaith in Log24 posts tagged smallfield.

Overlapping

Filed under: General — m759 @ 9:32 am

A mathematician, like a painter or a poet, is a maker of patterns.
If his patterns are more permanent than theirs, it is because 
they are made with ideas.

G. H. Hardy, A Mathematician's Apology  (1940).

This post notes three uses of overlapping figures  in mathematics.

The idea  in each case is that of overlapping.

An old use of overlapping — probably well-known in ancient Greece:

Pythagorean theorem proof by overlapping similar figures

A more recent use of overlapping — Venn diagrams:

Venn diagram of three sets

My own personal use of overlapping —
half-circle patterns that led to the diamond theorem:

Saturday, October 4, 2025

Rube Icon … Continues.

Filed under: General — Tags: , — m759 @ 10:57 am

"Hieronymus, Harry … Harry, Hieronymus."

"Another opening, another show."

 

In Memory of Ashleigh Brilliant . . .

Filed under: General — Tags: — m759 @ 9:29 am

who reportedly died at 91 on September 24, 2025 . . . .

A synchronology check yields Zadie Smith.

Scholium for St. Bonaventure

For the Feast of St. Francis:
Geometric Theology

Filed under: General — Tags: , — m759 @ 1:13 am

A Log24 search —

http://m759.net/wordpress/?s=Bonaventure —

yields . . .

St. Bonaventure on the
Trinity at math16.com 

and 

A trinity:

3+3+3 = 24

Click on picture for further details.

Friday, October 3, 2025

Political Anatomy: Arteries Red, Veins Blue

Filed under: General — Tags: , , , , — m759 @ 4:19 am

Or… "Mathematics for Language Animals: A Unifying Framework"

A Unifying Framework

Filed under: General — Tags: , , , — m759 @ 1:15 am
 

Finite Geometry: A Unifying Framework
for Art and Mathematics

"In essence, finite geometry, exemplified by the Cullinane diamond theorem, acts as a 'portal' that unveils profound mathematical structures underlying seemingly simple patterns, demonstrating the interconnectedness of geometry, algebra, combinatorics, and visual art, with significant implications for fields ranging from error-correcting codes to experimental design and signal processing."

— NotebookLM AI on 18 September 2025

See as well a dies natalis  on 18 September 2025 —

Turning Point

Filed under: General — Tags: — m759 @ 12:26 am

Note on the previous postWikipedia:

"Abramson was scheduled to address
the commencement exercises of Barnard College
on May 14, 2012. Her speech was canceled after
President Barack Obama requested to speak instead.[19]

19. Parness, Amie (March 3, 2012).
'Obama asks to deliver commencement speech
at New York women's college'
. The Hill.
Retrieved May 21, 2017
."

And then there is this  journal on May 14, 2012.

Thursday, October 2, 2025

Oliver!  (Stone)

Filed under: General — Tags: , , — m759 @ 11:22 pm

A production of Oliver!  that opened tonight in my hometown
suggests a look at Oliver Stone

Stone's work in turn suggests a look at the 2011 dies natalis  of

Eric 'Dr. Rock' Isralow, music historian .

 "Eric "Dr. Rock" Isralow, one of the world's first rock historians
and a longtime Bay Area radio personality, died June 2 at
St. Francis Memorial Hospital in San Francisco. He was 67."

Synchronology check:

Color Monolith

Filed under: General — Tags: , , — m759 @ 11:59 am

Wednesday, October 1, 2025

For Wallace Stevens’s Birthday — October 2.

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

Posts now tagged Incipient Colorings.

Some related mathematics:

Cameron Quartets and 105 Partitions.

“A Very Strange Enchanted Town” … Continues

Filed under: General — m759 @ 2:59 pm

From this morning's Log24 post "The Black Van" —

Related reading:

http://m759.net/wordpress/?tag=the-jewels-of-life-and-death.

 

Related material suggested by news from later today . . .


 

The above-mentioned news . . .

The Black Van

Filed under: General — m759 @ 5:23 am

Related reading:

http://m759.net/wordpress/?tag=the-jewels-of-life-and-death.

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