Log24

Saturday, September 5, 2026

“A Night at the Matrix”

Filed under: General — Tags: , , , , — m759 @ 9:42 pm

"Haddaway, Hathaway . . .
  Hathaway, Haddaway."

260429-Anne-Hathaway-Models-a-4×6-Fashion-Statement.jpg

260905-Hathaway-and-Blunt-on-Today-show.jpg

"The horror!  The horror!"

Neo’s Burning Man Lookout

Filed under: General — Tags: , , — m759 @ 9:18 am

"A Night at the Matrix" . . . by derek_one, AI creator . . .

https://www.instagram.com/reels/DctFzHgK3XT/ —

260905-Morpheus-with-boombox-AI.jpg

Earlier . . .

260905-Marcelanow-Burning_Man-Look_Out-tower.jpg

Thursday, August 27, 2026

Where Credit Is Due:
Dolly as a Producer

Filed under: General — Tags: , , , — m759 @ 1:42 pm

260827-TIME-on-Aug_26_2026-Dolly-as-Buffy-producer.jpg

260827-Finite_Geometry-and-Dimensional_Portals_of_Buffy.jpg

Thursday, January 22, 2026

Author Emeritus

Filed under: General — Tags: , — m759 @ 2:01 pm

Biarritz Balcony Scene

Filed under: General — Tags: , — m759 @ 7:08 am

"We keep coming back to the real . . . ." — Wallace Stevens

"Facets and labyrinths . . . ." — Nicole Kidman

Illustration — Biarritz Balcony Scene.

“Framework”

Filed under: General — Tags: — m759 @ 3:39 am

Wednesday, January 21, 2026

Magic Mountain Dramarama

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

Act purposefully!      Think rationally!

Play IT as IT lays!

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

Related Reading —

Saturday, June 7, 2025

The Omega Matrix … Continues.

Filed under: General — Tags: , , , — m759 @ 3:42 pm

Friday, May 23, 2025

For Harlan Kane: The Mann Deadline

Filed under: General — Tags: — m759 @ 3:14 am

Simon Mann, Mercenary Who Sought to
Overthrow African Leader, Dies at 72

— New York Times  headline, Thursday, May 22, 2024

" Simon Mann died on May 8 at his home in London. He was 72."

In Memoriam . . .

"… adventures within vast environments and dungeons…."

"Been there, done that." — The late Simon Mann

"… confusion and marvel are properly operations
of God and not of man." — Borges, 1962, in
"The Two Kings and the Two Labyrinths."

Thursday, May 22, 2025

The Omega Matrix  . . . Continues.

Filed under: General — Tags: — m759 @ 11:32 am

Saturday, May 17, 2025

Annals of Metadata:  Archiving the Archivist

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

Related cinematic meditation —

A more traditional image from this  journal
on the above dies natalis — April 10, 2025 —

Monday, March 24, 2025

Elegy in a Cartoon Graveyard

Monday, June 1, 2020

The Gefter Boundary

Filed under: General — Tags: , — m759 @ 5:09 pm

“The message was clear: having a finite frame of reference
creates the illusion of a world, but even the reference frame itself
is an illusion. Observers create reality, but observers aren’t real.
There is nothing ontologically distinct about an observer, because
you can always find a frame in which that observer disappears:
the frame of the frame itself, the boundary of the boundary.”

— Amanda Gefter in 2014, quoted here on Mayday 2020.

Image- Josefine Lyche work (with 1986 figures by Cullinane) in a 2009 exhibition in Oslo

See as well the previous post.

Wednesday, May 20, 2020

Cue the Violins

Filed under: General — Tags: , — m759 @ 11:36 pm

In memory of a music editor.

Blangsted reportedly died on May 1.
See also that date in this journal, among
other posts tagged The Next Level.

Mathematics as a Black Art

Filed under: General — Tags: , , — m759 @ 11:34 am

Thursday, February 7, 2019

Geometry of the 4×4 Square: The Kummer Configuration

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

From the series of posts tagged Kummerhenge —

A Wikipedia article relating the above 4×4 square to the work of Kummer —

A somewhat more interesting aspect of the geometry of the 4×4 square
is its relationship to the 4×6 grid underlying the Miracle Octad Generator
(MOG) of R. T. Curtis.  Hudson's 1905 classic Kummer's Quartic Surface
deals with the Kummer properties above and also foreshadows, without
explicitly describing, the finite-geometry properties of the 4×4 square as
a finite affine 4-space — properties that are of use in studying the Mathieu
group M24  with the aid of the MOG.

Thursday, July 12, 2018

Kummerhenge Illustrated

Filed under: General,Geometry — Tags: , , — m759 @ 11:00 am

      

“… the utterly real thing in writing is the only thing that counts…."

— Maxwell Perkins to Ernest Hemingway, Aug. 30, 1935

"Omega is as real  as we need it to be."

— Burt Lancaster in "The Osterman Weekend"

Tuesday, May 29, 2018

The Schwartz Meme

Filed under: General — Tags: — m759 @ 1:33 pm

IMAGE- The matrix Omega from notes of Richard Evan Schwartz. See also earlier versions (1977-1979) by Steven H. Cullinane.

Aficionados of the preposterous joke 
(see yesterday's post Epstein on Art) 
may consult a Google Image Search for
Schwartz Meme.

I prefer Schwartz même —

Sunday, May 6, 2018

The Osterman Omega

Filed under: General,Geometry — Tags: , , , — m759 @ 5:01 pm

From "The Osterman Weekend" (1983) —

Counting symmetries of the R. T. Curtis Omega:

An Illustration from Shakespeare's birthday —

Counting symmetries with the orbit-stabilizer theorem

Tuesday, March 7, 2017

Signature Backdrop

Filed under: General — Tags: , , , — m759 @ 9:00 pm

"The Bitter End’s signature stage backdrop —
a bare 150-year-old brick wall — helped distinguish it from
other popular bohemian hangouts like the Village Gate  
and the Village Vanguard. It appeared on the cover of
Peter, Paul and Mary’s first album."

— The New York Times  this evening on a Sunday death

Commentary —

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

— Richard Evan Schwartz

See also Schwartz in "The Omega Matrix," a post of 5 PM ET Sunday:

Sunday, March 5, 2017

The Omega Matrix

Filed under: General,Geometry — Tags: , , — m759 @ 5:00 pm

Richard Evan Schwartz on
the mathematics of the 4×4 square —

See also Priority in this journal.

Tuesday, May 24, 2016

Rosenhain and Göpel Revisited

The authors Taormina and Wendland in the previous post
discussed some mathematics they apparently did not know was
related to a classic 1905 book by R. W. H. T. Hudson, Kummer's
Quartic Surface
.

"This famous book is a prototype for the possibility
of explaining and exploring a many-faceted topic of
research, without focussing on general definitions,
formal techniques, or even fancy machinery. In this
regard, the book still stands as a highly recommendable,
unparalleled introduction to Kummer surfaces, as a
permanent source of inspiration and, last but not least, 
as an everlasting symbol of mathematical culture."

— Werner Kleinert, Mathematical Reviews ,
     as quoted at Amazon.com

Some 4×4 diagrams from that book are highly relevant to the
discussion by Taormina and Wendland of the 4×4 squares within
the 1974 Miracle Octad Generator of R. T. Curtis that were later,
in 1987, described by Curtis as pictures of the vector 4-space over
the two-element Galois field GF(2).

Hudson did not think of his 4×4 diagrams as illustrating a vector space,
but he did use them to picture certain subsets of the 16 cells in each
diagram that he called Rosenhain and Göpel tetrads .

Some related work of my own (click images for related posts)—

Rosenhain tetrads as 20 of the 35 projective lines in PG(3,2)

IMAGE- Desargues's theorem in light of Galois geometry

Göpel tetrads as 15 of the 35 projective lines in PG(3,2)

Anticommuting Dirac matrices as spreads of projective lines

Related terminology describing the Göpel tetrads above

Ron Shaw on symplectic geometry and a linear complex in PG(3,2)

Monday, June 15, 2015

Slow Art

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

Slowness is sometimes in the eye of the beholder.

See this journal on Slow Art Day 2015.

Related material: Epistemic States in this journal.

Omega Matrix

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

See that phrase in this journal.

See also last night's post.

The Greek letter Ω is customarily used to
denote a set that is acted upon by a group.
If the group is the affine group of 322,560
transformations of the four-dimensional
affine space over the two-element Galois
field, the appropriate Ω is the 4×4 grid above.

See the Cullinane diamond theorem.

Friday, August 15, 2014

The Omega Matrix

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

(Continued)

The webpage Rosenhain and Göpel Tetrads in PG(3,2)
has been updated to include more material on symplectic structure.

Wednesday, August 13, 2014

Stranger than Dreams*

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

Illustration from a discussion of a symplectic structure 
in a 4×4 array quoted here on January 17, 2014 —

See symplectic structure in this journal.

* The final words of Point Omega , a 2010 novel by Don DeLillo.
See also Omega Matrix in this journal.

Thursday, August 7, 2014

The Omega Mystery

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

See a post,  The Omega Matrix, from the date of her death.

Related material:

"When Death tells a story, you really have to listen."
— Cover of The Book Thief

A scene from the film of the above book —

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

— Richard Evan Schwartz

Some context — "Mathematics, Magic, and Mystery" —
See posts tagged April Awareness 2014.

Tuesday, August 5, 2014

The Omega Story

Filed under: General — Tags: — m759 @ 1:00 am
 

"We tell ourselves stories in order to live…. We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the 'ideas' with which we have learned to freeze the shifting phantasmagoria which is our actual experience."

— Joan Didion

See also a post from May 4, 2011 (the date, according to a Google
search, of untitled notes regarding a matrix called Omega).

Monday, August 4, 2014

A Wrinkle in Space

Filed under: General,Geometry — Tags: , , — m759 @ 10:30 am

"There is  such a thing as a tesseract." — Madeleine L'Engle

An approach via the Omega Matrix:

http://www.log24.com/log/pix10A/100619-TesseractAnd4x4.gif

See, too, Rosenhain and Göpel as The Shadow Guests .

Sunday, August 3, 2014

The Omega Matrix

Filed under: General,Geometry — Tags: , , — m759 @ 10:31 pm

Shown below is the matrix Omega from notes of Richard Evan Schwartz.
See also earlier versions (1976-1979) by Steven H. Cullinane.

IMAGE- The matrix Omega from notes of Richard Evan Schwartz. See also earlier versions (1977-1979) by Steven H. Cullinane.

Backstory:  The Schwartz Notes (June 1, 2011), and Schwartz on
the American Mathematical Society's current home page:

(Click to enlarge.)

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