Log24

Wednesday, November 20, 2024

Thanking the Academy: AI Overview

Filed under: General — m759 @ 9:33 am

From Oscars La La

Chevron Space

Filed under: General — Tags: — m759 @ 9:16 am

I prefer a different  chevron space . . .

Thursday, September 8, 2022 —

Analogy in Mathematics: Chevron Variations .

Minimalist Space

Filed under: General — m759 @ 8:26 am

Material related to a search in this journal for "minimalist space" —

“Great Unconscious Gravity” *

Filed under: General — Tags: — m759 @ 1:30 am

"Right through hell there is a path" — Malcolm Lowry

An illustration from a post of April 13, 2009

Reba McEntire, illustration for her Palm Sunday, 2009, single 'Strange'

That date was suggested by . . .

The "Amen Corner" tune was suggested by the life of
a Bee Gees drummer who died recently, by the title of
a book he wrote — You Should Be Dancing — and by
a scene (S1E2) in the Max miniseries "The Penguin" —

"Shit like this, the pain of it, you gotta be careful
'cause it'll eat you alive if you let it.

It's a helluva lot more fun to dance."

* Phrase from a passage by Chesterton that led, in a
post of April 13, 2009, to the above image of Reba.

Tuesday, November 19, 2024

Featured

Filed under: General — m759 @ 3:19 pm

A Facebook post from this afternoon . . .

Log Cabin Republicans may prefer the SNL snark of . . .

See a post of December 4, 2011 — Code Wars.

“Two Bee Gees Drummers Die Within Four Days”

Filed under: General — m759 @ 2:17 pm

The Ukulele Lesson continues.

"Awfully" Big?

For Log Cabin Republicans:  Life of Brian

Filed under: General — m759 @ 1:43 pm

The update to this morning's "Skin in the Game" post suggests . . .

See also Michael York's "The Omega Code."

I prefer my own version of that title.

A Mosaic for Megiddo

Filed under: General — m759 @ 12:54 pm

Minimalist space: Diamond Theorem Studio

The above image, from posts tagged Aion Art, was suggested by a
Jerusalem Post article dated April 1, 2022 quod vide. The pattern
shown is known to quilters as "Tents of Armageddon."

Address

Filed under: General — m759 @ 11:59 am

See Gettysburg in this journal.

Language Games:  Overarching Meets Upcoming

Filed under: General — Tags: , — m759 @ 6:58 am

Skin in the Game: Real or Fake?

Filed under: General — m759 @ 5:47 am

"Here was finality indeed, and cleavage!"
— Malcolm Lowry, Under the Volcano

Update of 1:28 PM ET on November 19, 2024 —

"The decadent legacy of Berlin between the World Wars,
and that of the American speak-easy era, have left their marks
on fashion, of course. At the Golden Globes on Sunday night,
Nicole Kidman incarnated the steamy eroticism of the Weimar
years in a clingy 20's-style gold-spangled dress by Tom Ford for
YSL Rive Gauche. Ms. Kidman's illusion top, with its suggestion
of nudity, set tongues wagging well into the next day."

— By Ruth La Ferla, The New York Times, Jan. 27, 2004

Baptismal Font: Times New Roman

Filed under: General — m759 @ 4:21 am

Click the Dies Natalis  metadata for supplemental reading.

Monday, November 18, 2024

The Purloined Letter*

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

See as well . . .

* Q.V.  — " '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

Four-Quadrant Style

Filed under: General — Tags: — m759 @ 4:14 am

The Falcone Schoolgirl Problem . . .

Annals of Meritocracy: Location, Location, Location

Filed under: General — m759 @ 2:27 am

From the Feast of St. Nicholas, 2018 —

♫  "You're gonna need an ocean . . . ."

Sunday, November 17, 2024

Date

Filed under: General — m759 @ 3:21 pm

"Why am I not laughing?" — "Good question."

A Belgian’s Balcony Scene

Filed under: General — Tags: — m759 @ 1:48 pm

241117-Browsing-history-Audrey_Hepburn-Moonlight_Balcony_Scene-context.jpg

The Belgian Music Box

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

From a search in this  journal for Ghent —

Related art —

Weyl, Symmetry, and the MOG
(HTML version of an earlier post)

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

Some historical background for a new book by Robert T. Curtis,
The Art of Working with the Mathieu Group M24 

"Space is another example of an entity endowed with a structure.
Here the elements are points, and the structure is established
in terms of certain basic relations between points such as:
A, B, C lie on a straight line, AB is congruent CD, and the like.
What we learn from our whole discussion and what has indeed
become a guiding principle in modern mathematics is this lesson:
Whenever you have to do with a structure endowed entity Σ
try to determine its group of automorphisms
, the group of those
element-wise transformations which leave all structural relations
undisturbed. You can expect to gain a deep insight into the
constitution of Σ in this way. After that you may start to investigate
symmetric configurations of elements, i.e. configurations which are
invariant under a certain subgroup of the group of all automorphisms;
and it may be advisable, before looking for such configurations,
to study the subgroups themselves, e.g. the subgroup of those
automorphisms which leave one element fixed, or leave two distinct
elements fixed, and investigate what discontinuous or finite subgroups
there exist, and so forth."

— Hermann Weyl, Symmetry, Princeton University Press, 1952.
(Page 144 in the Princeton Science Library edition of 1989.)

4×4 Square
       
       
       
       

This square's automorphism group
has 322,560 transformations.

— The diamond theorem  of Steven H. Cullinane.

4×6 Rectangle
           
           
           
           

This rectangle's automorphism group
has 244,823,040 transformations.

— The Miracle Octad Generator  (MOG) of Robert T. Curtis.

The rectangle's automorphism group contains the
square's as a subgroup. The square's automorphism
group leaves invariant a set of 30 eight-subsquare sets
called affine hyperplanes. The rectangle's automorphism
group leaves invariant a set of 759 eight-subsquare sets
called octads.

View this post as a PDF.

Saturday, November 16, 2024

Analytic Continuation: The Kayak Thief

Filed under: General — Tags: — m759 @ 9:51 pm

From a post of 7 AM November 15 —

Related art —

" I just like saying 'intake manifold.' " — Emma Watson

MORA for Lucy (A Memorable Watson)

Filed under: General — Tags: , — m759 @ 12:53 pm

Another interesting role for Liu — Head of MORA . . .

As for Mythological Oversight and Restoration . . .

Kaleidoscope, continued (August 11, 2005).

Related mythological material from August 11, 2005 —

Mysteries of the Rectangle :

Automorphism Groups: Examples for Weyl

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

View a PDF of this post.

Keywords: Weyl, symmetry, group, automorphism,
octad, MOG, Curtis, Cullinane.

Friday, November 15, 2024

Art Tales

Filed under: General — Tags: , — m759 @ 7:53 am

From a search in this journal for Arkani-Hamed —

This post was suggested by the title

"Visualizing a sacred city: London, art, and religion"

from today's 7 AM post.

Art for Stephen King: The Swirling

Filed under: General — Tags: — m759 @ 7:27 am

Related cinematic art … the 2022 TV series "The Resort"
and the 2022 film "Stars at Noon."

"Swirls of red radiate a symphony of joy, love, and passion,
inviting observers to delve into the depth of human emotions."

Marcela Nowak at Medium.com, August 12, 2023.

Art Identity Migration

Filed under: General — m759 @ 7:00 am

Art logos related to the previous post

Thursday, November 14, 2024

Mimesis: The Auerbach Variations

Filed under: General — m759 @ 11:56 pm

Vide  an Auerbach  Bacchus and Ariadne .

As damned nightmares go, I prefer a more literary Auerbach.

Aloha.

Filed under: General — Tags: — m759 @ 10:19 am

A Certain Character

Filed under: General — Tags: — m759 @ 9:50 am

"What we do may be small, but it has
  a certain character of permanence."

— G. H. Hardy, A Mathematician's Apology

Wednesday, November 13, 2024

Sigma Sweethearts

Filed under: General — Tags: — m759 @ 10:17 pm

Related reading — Valéry + group in this journal.

For Those Who Like to Watch

Filed under: General — Tags: — m759 @ 6:34 am

Kiernan Shipka in "Swimming with Sharks."

"Get in the pool!" — Indiana Jones, "The Dial of  Destiny."

Group Theory: The Romance of Alias and Alibi*

Filed under: General — Tags: — m759 @ 5:29 am

Alias:

Victor at 194 Tower Avenue  in "The Penguin"

Alibi:

Marcela_234  at Likewise.com

Romance in Numberland:

* Technical terms from pure mathematics —

For scholia on "the cube is being moved around," vide . . .

http://m759.net/wordpress/?s="Stack+Exchange" .

IMAGE- Current math.stackexchange.com logo and a 1984 figure from 'Notes on Groups and Geometry, 1978-1986'

Tuesday, November 12, 2024

Poster Art

Filed under: General — m759 @ 11:19 pm

A recent search in this journal for "Bearable" yielded . . .

Number 9 suggests . . .

Color Tray

Filed under: General — m759 @ 10:20 pm

Image credit: The singer of "Deep Blue," Sara Arlene,
in a Facebook story of November 12, 2024.

"Swirls of red radiate a symphony of joy, love, and passion,
inviting observers to delve into the depth of human emotions."

Marcela Nowak at Medium.com, August 12, 2023.

Snow White . . . Bachelorette

Filed under: General — Tags: — m759 @ 8:23 pm

For the Duke of York's Theatre —

http://m759.net/wordpress/?s=Bearable .

The Cornfield Paradox . . . Continues.

Filed under: General — Tags: — m759 @ 10:45 am

From the January 2024 post "The Cornfield Paradox" —

Signs Movie Stills: Mel Gibson, Joaquin Phoenix, Patricia Kalember, M. Night Shyamalan

More recently . . .

Marrific Repost

Filed under: General — Tags: , — m759 @ 7:30 am

https://www.tiktok.com/@_moon_fire/video/7415613178983353632 .

Update —

The piñata scene in the above "moon fire" video suggests a search
for today's birthdays that yields one "Moonlight Graham" —

St. Beryl’s Day

Filed under: General — Tags: , — m759 @ 12:21 am

Beryl Bainbridge, author of the novel An Awfully Big Adventure ,
reportedly died in England on Friday,* July 2, 2010.  See that date
in this journal.

Related entertainment —

'Paint your own wine glass'

* The New York Times  says she died on Thursday, July 1, 2010.
The discrepancy in these reports may be due to the transatlantic
time difference.

Monday, November 11, 2024

Echo Chamber: “The Room Outside of Time”*

Filed under: General — Tags: — m759 @ 11:50 pm

"… as Gombrich well knew, Warburg also
constantly regrets the 'loss' of this 'thought-space' …"

Echo from the Pasaje Bella Vista  in Cuernavaca —

“We keep coming back and coming back
To the real: to the hotel instead of the hymns….”

— Wallace Stevens

Hotel Bella Vista, Cuernavaca, Morelos, Mexico

— Postcard from eBay 

From Under the Volcano, by Malcolm Lowry, 1947, Chapter I:

Faustus is gone: regard his hellish fall —

Shaken, M. Laruelle replaced the book on the table… he reached to the floor for a folded sheet of paper that had fluttered out of it. He picked the paper up between two fingers and unfolded it, turning it over. Hotel Bella Vista, he read. There were really two sheets of uncommonly thin hotel notepaper….

I sit now in a little room off the bar at four-thirty in the morning drinking ochas and then mescal and writing this on some Bella Vista notepaper I filched the other night…. But this is worst of all, to feel your soul dying. I wonder if it is because to-night my soul has really died that I feel at the moment something like peace. Or is it because right through hell there is a path, as Blake well knew, and though I may not take it, sometimes lately in dreams I have been able to see it? …And this is how I sometimes think of myself, as a great explorer who has discovered some extraordinary land from which he can never return to give his knowledge to the world: but the name of this land is hell. It is not Mexico of course but in the heart.

* "The room outside of time" is a recurring theme in "The Resort."

The Ukulele Lesson

Filed under: General — Tags: , — m759 @ 11:06 pm

1037
01:25:41,200 –> 01:25:43,200
I'm beginning to get
the hang of fucking.

1038
01:25:46,200 –> 01:25:47,700
Yes.

1039
01:25:50,200 –> 01:25:53,800
It's no different from learning
to play the ukulele.

1040
01:25:53,900 –> 01:25:55,800
You just need practice.

Further details at . . .

http://www.littlereview.com/getcritical/greenman/peterpan.htm .

 

Update (November 11, 2024 @ 23:30:59) —

Also on August 6, 2023 … Metaphysics Lesson.

Sunday, November 10, 2024

Numberland: The Talladega Craftsman

Filed under: General — Tags: — m759 @ 8:42 am
 

Monday, October 17, 2011

The Craftsman

Filed under: General — m759 @ 5:24 am Edit This

A follow-up to yesterday's Sunday School

(Click on images for some background.)

IMAGE- Dennis Ritchie, Amy Adams (Talladega Nights), and the Inferno operating system

http://www.log24.com/log/pix11C/111017-InfernoOS-500w.jpg

 

Backstory—  "Plan 9 is an operating system kernel …."

Meditation— "How can you tell the craftsman from the craft?"
                          (Apologies to William Butler Yeats.)

From Summer Solstice 2023

Related tunes — "Hot Rod Lincoln" and
"Junk in the Trunk" (Planet Booty, YouTube, Feb. 27, 2019)

Saturday, November 9, 2024

Invariance: The Seventh Footnote

Filed under: General — Tags: — m759 @ 12:56 pm

"We are freed from one enchantment, only to be ensorcelled by another.7

7. Imagine, say, a boy forming the icy shards of reason into
a picture of eternity. The metaphor is not inadequate."

— Yu, E. Lily. The Time Invariance of Snow .
     Tor Publishing Group. Kindle Edition.

Schicksalstag

Filed under: General — Tags: — m759 @ 4:15 am

http://m759.net/wordpress/?s="Thomas+Mann"

Friday, November 8, 2024

AI on Aion

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

For a less artificial approach . . . See "Aion" in this journal.

Related reading: Halloween night's "Trick and  Treat."

AI Love Song: “Evercross”

Filed under: General — Tags: — m759 @ 8:28 pm

♫ "But if you ever think about me
     If I ever cross your mind "

    — Song lyric

Fake News — News about Fakes

Filed under: General — Tags: — m759 @ 7:06 am

The date of the above post was apparently the date of death
for a noted architectural historian.  Related material —

"The almond tree flourisheth" — Ecclesiastes and

Thursday, November 7, 2024

“Best Position” . . . Babygirl.

Filed under: General — Tags: — m759 @ 9:17 am

http://m759.net/wordpress/?tag=best-position

Related cinematic art —

Wednesday, November 6, 2024

Ernst

Filed under: General — m759 @ 1:06 pm

From posts tagged on130909

Tuesday, November 5, 2024

Minding the Gap: A Surrealist’s Dies Natalis

Filed under: General — m759 @ 11:31 pm

Cleft

Filed under: General — m759 @ 7:43 pm

Some uploads to Log24.com/log/pix24/ on the Fifth of November 2024 —

241105-Allegheny_Hotel-at-Glade_Bridge-1895.jpg

241105-F.O.E.-Warren-PA-metadata.jpg

241105-F.O.E.-Warren-PA-Google-maps-bus-at-former-Allegheny_Hotel.jpg

241104-Shipman's_Eddy-hillside-cleft-wildfire-site-Nov-4-2024.jpg

Earlier . . .

Related — The previous post and Commentaries on Hexagram 43.

Stage and Screen

Filed under: General — m759 @ 8:35 am

. . . and the screen to . . . "Grace Penn?"

Related material . . .

Monday, November 4, 2024

Alternative to the new film “Here” —
THERE!

Filed under: General — m759 @ 4:00 pm

Prompts

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

'Paint your own wine glass'

Click image to enlarge.

Leaving Las Vegas

Filed under: General — Tags: — m759 @ 10:34 am

Sunday, November 3, 2024

Today’s Science Sermon

Filed under: General — Tags: — m759 @ 11:56 am

  "Before time began . . ." — Optimus Prime

Saturday, November 2, 2024

For Julia Cicero:  Ex Fano Apollinis

Filed under: General — m759 @ 11:56 pm

Cicero, In Verrem  II. 1. 46 —

He reached Delos. There one night he secretly   46 
carried off, from the much-revered sanctuary of 
Apollo, several ancient and beautiful statues, and 
had them put on board his own transport. Next 
day, when the inhabitants of Delos saw their sanc- 
tuary stripped of its treasures, they were much 
distressed . . . .
Delum venit. Ibi ex fano Apollinis religiosissimo 
noctu clam sustulit signa pulcherrima atque anti- 
quissima, eaque in onerariam navem suam conicienda 
curavit. Postridie cum fanum spoliatum viderent ii 

See also "Ex Fano" in this  journal.

For more crazed gravitas, vide . . .

Latin Square Triangles .


Addendum:

The above New Yorker  passage is dated Sept. 26, 2024.
Also on that date . . .

The Art Racket

Filed under: General — Tags: , — m759 @ 12:42 pm

Art for today — All Souls' Day, also known as the Day of the Dead —

The Hellman-McCarthy Vocabulary Lesson

Filed under: General — Tags: — m759 @ 11:48 am

Related art notes —

Technology Entertainment: “Icon Parking”

Filed under: General — Tags: — m759 @ 11:21 am

Related posts —

http://m759.net/wordpress/?s="Icon+Parking"

Friday, November 1, 2024

The Aida Recode: Volano al raggio dell’eterno dì

Filed under: General — Tags: — m759 @ 10:37 pm

A different Radames —

See also "Clive Sinclair" in this journal.

Los Angeles

Filed under: General — m759 @ 11:16 am

Candle from Sense8, Season 1,  Episode 1: “Limbic Resonance”

 "Put  the  candle  BACK!"

Thursday, October 31, 2024

Trick and Treat

Filed under: General — m759 @ 8:00 pm

Joker: Folie a deux

See also a Log24 search for "Shadow Work," as well as . . .

For Scandia.tech

Filed under: General — Tags: — m759 @ 3:24 pm

“… ego ipse oculis meis …” — Petronius, Satyricon*

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

For the Church of Synchronology

http://m759.net/wordpress/?p=75618

Tuesday, July 31, 2018

A is for Abschattungen .

 

* For the Latin Club

Sweethearts Registration

Filed under: General — Tags: — m759 @ 12:35 pm

“Some events may require registration.”

Filed under: General — Tags: — m759 @ 11:53 am

Related reading —

http://m759.net/wordpress/?s=Turning+Nine .

♫ “It’s such an ancient pitch . . .”
— The Great American Songbook

Filed under: General — m759 @ 3:44 am

Comedy for Packers

Filed under: General — m759 @ 3:00 am

Tonight's news from Green Bay, Wisconsin . . .

"Say Cheese!"

Touching Base . . . and Minding the Gap

Filed under: General — Tags: — m759 @ 2:25 am

(The annotated page above is not  in the cited source.)

"Sunshine on my shoulders . . ."
— Soundtrack for Instagram story
posted by cmellevold 18 hours ago

Gold Search

Filed under: General — Tags: — m759 @ 1:20 am

Scholia —

http://m759.net/wordpress/?s=" Tree"+"Stone" .

"We should definitely touch base moving forward."
— "Sweethearts" (2024)

Text and Context

Filed under: General — Tags: — m759 @ 12:28 am

Wednesday, October 30, 2024

Cube Design Software Example

Filed under: General — Tags: — m759 @ 6:04 pm

A first try at using websim.ai as an approach to building a model
of The Diamond Cube for use in later programs. AI in its current state
seems much more helpful in programming than in web seach.

♫ “For 10 years we’ve been on our own . . .”

Filed under: General — m759 @ 3:26 pm

Norman Lear in Spectral Form ! —

Related civic engagement —

Harvard Hell

Filed under: General — m759 @ 1:10 pm

From October 29, 2006 —

Locating Hell

"Noi siam venuti al loco ov' i' t'ho detto
            che tu vedrai le genti dolorose
    c'hanno perduto il ben de l'intelletto
."

Dante, Inferno, Canto 3, 16-18

"We have come to where
              I warned you we would find
Those wretched souls
              who no longer have 
The intellectual benefits of the mind."

Dante, Hell, Canto 3, 16-18

From a Harvard student's weblog:

Heard in Mather  I hope you get gingivitis You want me to get oral cancer?! Goodnight fartface Turd. Turd. Turd. Turd. Turd. Make your own waffles!! Blah blah blah starcraft blah blah starcraft blah starcraft. It's da email da email. And some blue hair! Oohoohoo Izod! 10 gigs! Yeah it smells really bad. Only in the stairs though. Starcraft blah blah Starcraft fartface. Yeah it's hard. You have to get a bunch of battle cruisers. 40 kills! So good! Oh ho ho grunt grunt squeal.  I'm getting sick again. You have a final tomorrow? In What?! Um I don't even know. Next year we're draggin him there and sticking the needle in ourselves. 

" … one more line/ unravelling from the dark design/ spun by God and Cotton Mather"

— Robert Lowell

Variation on an AI Hallucination

Filed under: General — Tags: , — m759 @ 5:06 am

For another variation on this hallucination, see the previous post.

Tuesday, October 29, 2024

Hallucinated Geometry

Filed under: General — Tags: — m759 @ 5:51 pm

For fans of the "story theory of truth" —

An example of artificial stupidity:

The phrases "midpoints of opposite faces" and "essentially
creating a smaller cube" are hallucinated bullshit.

The above AI description was created by inanely parroting
verbiage from the Wikipedia article "Diamond cubic" —
which it credits as a source. (See wider view of search.)
That article contains neither the word "theorem" nor the
phrase "unit cube " from the search-request prompt.

AI, like humans, is likely to fall victim to the notorious
"story theory of truth" purveyed by Richard J. Trudeau.
A real  "diamond shape formed within a unit cube" is the
octahedron, one of the five classical Platonic solids.

Fans of the opposing "diamond theory of truth" rejected by
Trudeau may prefer . . .

Inside the Exploded Cube

(Log24, July 1, 2019).

The Sicilian Defense

Filed under: General — Tags: — m759 @ 4:47 pm

Heaven’s Door

Filed under: General — m759 @ 4:05 pm

Diamond Theorem Unit Cube Design

Filed under: General — Tags: — m759 @ 5:53 am

https://websim.ai/p/74wzs2lcd6qlpe8491rz/24

A Fordham Graduate’s Apologia

Filed under: General — Tags: — m759 @ 4:26 am

I prefer A Mathematician's  Apology.

Monday, October 28, 2024

Tools (Continued)

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

Another Manic Pixie Monday

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

Some will prefer other archivists.

Automata Studies: Bling Ring Pole Dance

Filed under: General — Tags: , — m759 @ 11:50 am

"dum frater sororis suae automata per clostellum miratur …."

Illuminating the Void

Filed under: General — Tags: — m759 @ 10:49 am

The Yves Klein art in last night's "Obscure Answer" post suggests a search
for "Klein Blue" in this journal. That search yields — among other things —

For All Saints’ Day — Oblivion with Copilot

Filed under: General — Tags: — m759 @ 3:53 am

Related storytelling —

A use by the Blue candidate on Sunday of the word "momentum"
and that word in this  journal.

Reuters Rhetoric Report

Filed under: General — m759 @ 3:13 am

Obscure Answer

Filed under: General — Tags: — m759 @ 2:28 am

From a post of July 2, 2007

A figure like Ecclesiast/
Rugged and luminous,
 chants in the dark/
A text that is an answer,
although obscure.

— Wallace Stevens,
"An Ordinary Evening
in New Haven"

Not so luminous . . .

A related text  —

The source —

 

 

 

Sunday, October 27, 2024

♫ “It’s fun to stay at the . . . .”

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

"I love those Bavarians." — Don Henley, "The Garden of Allah"

 

For the “David Brooks” of “Canary Black” —
Grandiose Eschatological Visions!

Filed under: General — Tags: , , , — m759 @ 3:38 pm

Saturday, October 26, 2024

Line from the new film “Canary Black” —
“Happy Anniversary!”

Filed under: General — Tags: , , — m759 @ 11:28 pm

This journal five years ago today . . .

Diamond Theorem Studio

Filed under: General — Tags: , — m759 @ 7:36 pm

By Steven H. Cullinane and Websim.ai —

https://websim.ai/p/_dorlgddf3vcxh6qjysy/16 .

More Austere

Filed under: General — Tags: — m759 @ 1:04 pm

A Less Austere Look at Beauty and Truth

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

Charles Taylor's remarks in the previous post — on beauty and truth —
suggest a less austere look at these topics —

A more recent look at the date October 22 —

Friday, October 25, 2024

Charles Taylor on Keats on Beauty and Truth

Filed under: General — Tags: , — m759 @ 7:19 pm

Commonweal Magazine  on October 16

Compare and contrast . . .

The New Yorker

Chris Ware, visual crossword puzzle clue, New Yorker issue dated Dec. 26, 2022.

This  journal

Illustration of a title by George Mackey

Quotes

Filed under: General — m759 @ 6:15 pm

An author in a New York Times  article today —

“I like stories which feel like the back of another story,
like beyond this story, there’s a different story, and
we’re just seeing glimpses of that story,” she said.

Other quotes (click to enlarge) . . .

Dark Star:   The Lesh Translation Model

Filed under: General — Tags: — m759 @ 5:08 pm

See as well other posts tagged Dark Star . . . and Wikipedia.

Dies Natalis

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

Route 8 and Hill Valley

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

The above hallucinatory geography was suggested by an Instagram
post about a Kane PA meeting at a building named Six&Kane, for
a route number and the city name.

(Not related to either the novel Numberland 
or the novel Twinkle, Twinkle, Killer Kane.)

The Space Structures Underlying M24

Filed under: General — Tags: , — m759 @ 12:24 am

The structures of the title are the even subsets of a six-set and of
an eight-set, viewed modulo set complementation.

The "Brick Space" model of PG(5,2) —

Brick space: The 2x4 model of PG(5,2)

For the M24 relationship between these spaces, of 15 and of 63 points,
see G. M. Conwell's 1910 paper "The 3-Space PG (3,2) and Its Group,"
as well as Conwell heptads in this  journal.

Thursday, October 24, 2024

Space Structure

Filed under: General — Tags: , , — m759 @ 6:31 pm

Description of a book to be published in November —

Note the phrase "underlying combinatorial structure." AI scholium —

Space Vesper: “Shaken, Not Stirred”

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

A Tuesday dies natalis

From the Log24 post "Verbum" (Saturday, February 18, 2017).

A different Tuesday —

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

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

Note the making of a matching pattern.

Lunar Viewing

Filed under: General — Tags: — m759 @ 12:44 pm

Looking carefully at Golay’s code
is like staring into the sun.”

— Richard Evan Schwartz

I do not recommend such staring.
Less hazardous views from Google today—

October Story: If It’s Day 24, This Must Be . . . BRICS?

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

My own interests tend towards . . . not BRICS, but bricks —

I look forward to the November publication of . . .

Wednesday, October 23, 2024

For a Rothko chapel —
♫ “Are you going to Vanity Press?” — Adapted song lyric

Filed under: General — Tags: — m759 @ 7:23 pm

Vanity Press Price Quote

The Delta Transform

Filed under: General — Tags: , , , — m759 @ 7:04 am

Rothko — "… the elimination of all obstacles between the painter and
the idea, and between the idea and the observer."

Walker Percy has similarly discussed elimination of obstacles between
the speaker and the word, and between the word and the hearer.

Walker Percy's chapter on 'The Delta Factor' from 'Message in the Bottle'

Click images to enlarge.

Related mathematics —

The source: http://finitegeometry.org/sc/gen/typednotes.html.

A document from the above image —

AN INVARIANCE OF SYMMETRY

BY STEVEN H. CULLINANE

We present a simple, surprising, and beautiful combinatorial
invariance of geometric symmetry, in an algebraic setting.

DEFINITION. A delta transform of a square array over a 4-set is
any pattern obtained from the array by a 1-to-1 substitution of the
four diagonally-divided two-color unit squares for the 4-set elements.

THEOREM. Every delta transform of the Klein group table has
ordinary or color-interchange symmetry, and remains symmetric under
the group G of 322,560 transformations generated by combining
permutations of rows and colums with permutations of quadrants.

PROOF (Sketch). The Klein group is the additive group of GF (4);
this suggests we regard the group's table  T as a matrix over that
field. So regarded, T is a linear combination of three (0,1)-matrices
that indicate the locations, in  T, of the 2-subsets of field elements.
The structural symmetry of these matrices accounts for the symmetry
of the delta transforms of  T, and is invariant under G.

All delta transforms of the 45 matrices in the algebra generated by
the images of  T under G are symmetric; there are many such algebras. 

THEOREM. If 1 m ≤ n2+2, there is an algebra of 4m
2n x 2n matrices over GF(4) with all delta transforms symmetric.

An induction proof constructs sets of basis matrices that yield
the desired symmetry and ensure closure under multiplication.

REFERENCE

S. H. Cullinane, Diamond theory (preprint).

Update of 1:12 AM ET on Friday, Oct. 25, 2024 —

The above "invariance of symmetry" document was written in 1978
for submission to the "Research Announcements" section of the
Bulletin of the American Mathematical Society .  This pro forma 
submission was, of course, rejected.  Though written before
I learned of similar underlying structures in the 1974 work of
R. T. Curtis on his "Miracle Octad Generator," it is not without
relevance to his work.

Ingathering Scriptures

Filed under: General — Tags: — m759 @ 12:00 am

I recommend . . .

https://www.amazon.com/
Ingathering-Complete-People-Stories-Henderson-ebook/
dp/B0878RMD5D/
.

Some will prefer Exodus 23:16.

Related philosophy —

Descartes and the Tents of Armageddon (Galois's birthday, 2007).

Related art —

https://claude.site/artifacts/3c1ce26b-4664-448c-87df-c20802053eea .

Update on Oct. 28, 2024 —

For a newer version by a different AI, Websim, see Diamond Theorem Studio.

Tuesday, October 22, 2024

Diamond-theorem art made with AI

Filed under: General — Tags: — m759 @ 8:27 pm

See https://claude.site/artifacts/3c1ce26b-4664-448c-87df-c20802053eea .

Tiger Symmetry

Filed under: General — Tags: — m759 @ 3:23 am

Depth

Filed under: General — Tags: , , — m759 @ 3:08 am

James Hillman
EGALITARIAN TYPOLOGIES
VERSUS THE PERCEPTION OF THE UNIQUE

“The kind of movement Olson urges is an inward deepening of the image,
an in-sighting of the superimposed levels of significance within it.
This is the very mode that Jung suggested for grasping dreams —
not as a sequence in time, but as revolving around  a nodal complex.”

See as well "True Grids" (Log24, August 9, 2018).

The Wikipedia "Truchet tiles" article shown above illustrates Hillman's
"superimposed levels of significance."

For more levels, see Wang on Gõdel and other posts tagged For Stella Maris.

Metapersons

Filed under: General — Tags: , — m759 @ 2:44 am

"You say Aeon, I say Aion" … Continues.

Monday, October 21, 2024

A Song for Remnick

Filed under: General — m759 @ 4:28 pm

Below — The New York Times  quotes its 1947 article on the opening
of a new college FM radio station. Vide  the full article, in which the apt
Scylla-Charybdis metaphor was based on remarks by a Fordham Jesuit.

"Mephistopheles is not your name
I know what you're up to just the same
I will listen hard to your tuition
You will see it come to its fruition
"

— Sting

The Fordham Jesuit of 1947 seems greatly superior to the Jesuits of today.

See Fordham in this  journal.

Update of 1:57 AM ET Tuesday, October 22, 2024 —

See "Jesuit West Side" Story.

Back to the Search Field

Filed under: General — m759 @ 11:49 am

http://m759.net/wordpress/?tag=back-to-the-future

Re: Code 699

Filed under: General — Tags: — m759 @ 10:34 am

“We have a Code 699 violation!”

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

Coppola Family Values

Filed under: General — Tags: , — m759 @ 12:53 am

In lieu of a hip Jesuit, vide  "Sofia Coppola and All the Sad Girls"
by Emily Yoshida in The New York Times  on the date of the above
"Teorema" post . . . November 10, 2023.

Sunday, October 20, 2024

For a Tim Burton Fan:  Amityville Serenade

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

"By a knight of ghosts and shadows . . . ."

The "Lindenhurst" on the above map suggests an Irrelevant
geographic history note, and a scholium . . .

A Wroclaw image from 2011 in which a version of my own work appears —

Ekphrasis of the Cullinane-Lyche wall above . . .

From The Golden Key   by George MacDonald

"We must  find the country from which the shadows come," said Mossy.

"We must, dear Mossy," responded Tangle. "What if your golden key should be the key to it?"

"Ah! that would be grand," returned Mossy.

Claves Regni —  ♫ “Takin’ Care of Business . . .”

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

"Now he believed that where there was a key,
there must also be a lock…."

The Brothers Grimm

From The Golden Key   by George MacDonald

"We must  find the country from which the shadows come," said Mossy.

"We must, dear Mossy," responded Tangle. "What if your golden key should be the key to it?"

"Ah! that would be grand," returned Mossy.

Sunday Spotlight* for Beetlejuice

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

* See also, in this  journal, Saturday night's Spotlight Revisited.

In Lieu of Jane Pauley . . .

Filed under: General — Tags: — m759 @ 9:36 am

Weaver Meets Weaveworld

Filed under: General — Tags: — m759 @ 8:47 am

Saturday, October 19, 2024

Spotlight Revisited

Filed under: General — Tags: , — m759 @ 10:08 pm

Office scene from "Spotlight," a 2015 film about The Boston Globe.

More in the spirit of Beetlejuice than of Spotlight … A flashback
suggested by today's previous post

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