Log24

Sunday, March 24, 2024

The Clooney Omega

Filed under: General — Tags: — m759 @ 10:04 am

From a post of May 13, 2015 —

Sunday, December 24, 2023

Let Us Now Praise Famous Omega*

Filed under: General — Tags: — m759 @ 2:35 am

   * The title is of course a reference to the Knoxville of the previous post.

Tuesday, October 31, 2023

“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.

Monday, March 28, 2022

The Omega Oracle

Filed under: General — m759 @ 6:38 am

"Design is how it works ." — Steve Jobs.  See interality.org.

Sunday, March 27, 2022

The Omega Project

Filed under: General — Tags: — m759 @ 8:58 am

See also Omega  in this journal.

Sunday, November 28, 2021

The Omega Gate

Filed under: General — Tags: , — m759 @ 8:52 pm

From The Chronicle of Higher Education

"It's a Mirror!"
"It's a Window!"

It's … The Omega Gate!


 

Saturday, November 20, 2021

Silicon Valley Meets Point Omega

Filed under: General — m759 @ 1:20 pm

Saturday, September 11, 2021

Ground Omega

Filed under: General — Tags: — m759 @ 1:37 pm

"When we say a thing is unreal, we mean it is too real,
a phenomenon so unaccountable and yet so bound to
the power of objective fact that we can’t tilt it to the slant
of our perceptions."  — DeLillo, 2001

Saturday, May 8, 2021

A Tale of Two Omegas

Filed under: General — Tags: , — m759 @ 5:00 am

The Greek capital letter Omega, 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 .

If the group is the large Mathieu group  of
244,823,040 permutations of 24 things,
the appropriate Ω  is the 4×6 grid below.

See the Miracle Octad Generator  of R. T. Curtis.

Wednesday, April 14, 2021

Another View of Point Omega

Filed under: General — m759 @ 5:14 pm

Not  by Don DeLillo —

Those apt to be seduced by language, either secular or religious,
might note that the author of the Point Omega book above is also
the author of  Abuse of Language, Abuse of Power

Hemingway fans might note as well a website whose background
image memorializes the Catholic fallen of the Spanish Civil War:

Monday, November 30, 2020

Omega

Filed under: General — m759 @ 11:40 am

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

See also Straightforward + Overarching.

Friday, April 5, 2019

April 1 Omega

Filed under: General — Tags: , — m759 @ 10:58 pm

IMAGE- 'Point Omega' by DeLillo


 

From posts tagged Number Art

'Knight' octad labeling by the 8 points of the projective line over GF(7)    
 

From the novel Point Omega

http://www.log24.com/log/pix11/110320-OmegaHaiku.jpg
 

Related material for
Mathematics Awareness Month

Also on 07/18/2015

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

Sunday, April 22, 2018

The Omega Matrix

Filed under: General,Geometry — Tags: — m759 @ 1:00 pm

(Continued)

Angels and Demons cross within a diamond (page 306), and Finite Geometry logo

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.

Sunday, July 24, 2016

Point Omega …

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

Continues .

In this post, "Omega" denotes a generic 4-element set.

For instance Cullinane's 

Logo for 'Elements of Finite Geometry'

or Schmeikal's 

 .

The mathematics appropriate for describing
group actions on such a set is not Schmeikal's
Clifford algebra, but rather Galois's finite fields.

Thursday, January 7, 2016

Point Omega…

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

Continues. See previous episodes.

See as well

The above image is from April 7, 2003.

Sunday, December 6, 2015

The Omega Weekend

Filed under: General — Tags: — m759 @ 4:04 am

By Harlan Kane

See Omega  (June 11, 2015).

Friday, September 11, 2015

Omega Wrinkle:

Filed under: General — m759 @ 9:42 pm

A Phrase That Haunts

From this journal on August 23, 2013

Illustration from New York Times  review 
of the novel Point Omega —

IMAGE- NY Times headline 'A Wrinkle in Time' with 24 Hour Psycho and Point Omega scene

From the print version of The New York Times Sunday Book Review
dated Sept. 13, 2015 —

The online version, dated Sept. 11, 2015 —

From the conclusion of the online version —

On the above print  headline, "Wrinkles in Time,"
that vanished in the online version —

"Now you see it, now you don't"
is not a motto one likes to see demonstrated
by a reputable news firm.

Related material:  Jews Telling Stories.

Tuesday, September 8, 2015

Point Omega*

Filed under: General — m759 @ 12:00 pm

Fareed Zakaria in an online Aug. 21
New York Times  book review

" Most intellectuals think ideas matter.
In one of his most famous and oft-­quoted lines,
John Maynard Keynes declared, 'Practical men
who believe themselves to be quite exempt from
any intellectual influence are usually the slaves
of some defunct economist. Madmen in authority,
who hear voices in the air, are distilling their frenzy
from some academic scribbler of a few years back.'

Scott L. Montgomery and Daniel Chirot concur,
arguing that ideas 'do not merely matter; they matter
immensely, as they have been the source for decisions
and actions that have structured the modern world.' 
In The Shape of the New: Four Big Ideas and How
They Made the Modern World 
, Montgomery and
Chirot make the case for the importance of four
­powerful ideas, rooted in the European Enlightenment,
that have created the world as we know it.
'Invading armies can be resisted,' they quote
Victor Hugo. 'Invading ideas cannot be.' "

* Related material: Point Omega , a book
   by Don DeLillo, in this journal.

Monday, July 13, 2015

The Omega Cube

Filed under: General — m759 @ 12:00 pm

Why "Omega?"

Omega is a Greek letter, Ω , used in
mathematics to denote 
a set on which
a group acts. 

Monday, June 15, 2015

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.

Thursday, June 11, 2015

Omega

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

Omega is a Greek letter, Ω , used in mathematics to denote
a set on which a group acts. 

For instance, the affine group AGL(3,2) is a group of 1,344
actions on the eight elements of the vector 3-space over the
two-element Galois field GF(2), or, if you prefer, on the Galois
field  Ω = GF(8).

Related fiction:  The Eight , by Katherine Neville.

Related non-fiction:  A remark by Werner Heisenberg
in this journal on Saturday, June 6, 2015, the eightfold cube ,
and the illustrations below —

Mathematics

http://www.log24.com/log/pix11A/110505-WikipediaFanoPlane.jpg

The Fano plane block design

Magic

http://www.log24.com/log/pix11A/110505-DeathlyHallows.jpg

The Deathly Hallows symbol—
Two blocks short of  a design.

Sunday, May 24, 2015

Point Omega

Filed under: General — m759 @ 12:00 pm

IMAGE- Chair from 'Osterman Weekend' ending

“Am I still on?” — Ending line of  The Osterman Weekend  (1983)

Sunday, January 18, 2015

Point Omega Echo

Filed under: General — m759 @ 10:00 am

"… as though echoing the road's vanishing point
up ahead…." — Album review, 2002

See Vanishing Point in this journal.

See as well Rolling Stone  four days ago
on Stevie Nicks in 1976:

Keep in mind, the audience has
no idea who Stevie Nicks is.

Monday, January 12, 2015

Points Omega*

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

The previous post displayed a set of
24 unit-square “points” within a rectangular array.
These are the points of the
Miracle Octad Generator  of R. T. Curtis.

The array was labeled  Ω
because that is the usual designation for
a set acted upon by a group:

* The title is an allusion to Point Omega , a novel by
Don DeLillo published on Groundhog Day 2010.
See “Point Omega” in this journal.

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.

Tuesday, August 12, 2014

Point Omega

Filed under: General — m759 @ 9:07 pm

Continues

Update of 9:29 PM ET (Click to enlarge.) —

Adapted from a Facebook page.

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

Omega Post

Filed under: General — m759 @ 2:00 am

In memory of radio personality Steve Post,
a link to some remarks on the date of his death.

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

The Omega Portal

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

Version from "The Avengers" (2012) —

Version from Josefine Lyche (2009) —

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

See also this journal on the date that the above Avengers  video was uploaded.

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.)

Monday, October 15, 2012

Omega Point

Filed under: General,Geometry — m759 @ 2:00 pm

For Sergeant-Major America—

IMAGE- Art exhibition with 'Omega Point' and geometric figures related to tesseract, along with movie 'Captain America' figure

The image is from posts of Feb. 20, 2011, and Jan. 27, 2012.

This instance of the omega point is for a sergeant major
who died at 92 on Wednesday, October 10, 2012.

See also posts on that date in this journal—

Midnight,  Ambiguation,  Subtitle for Odin's Day,  and
Melancholia, Depression, Ambiguity.

Sunday, September 18, 2011

Alpha and Omega

Filed under: General,Geometry — Tags: , — m759 @ 2:22 am

http://www.log24.com/log/pix11B/110918-AlphaAndOmega.jpg

A transcription—

"Now suppose that α  is an element of order 23 in M 24 ; we number the points of Ω
as the projective line , 0, 1, 2, … , 22 so that α : i i  + 1 (modulo 23) and fixes . In
fact there is a full L 2 (23) acting on this line and preserving the octads…."

— R. T. Curtis, "A New Combinatorial Approach to M 24 ,"
Mathematical Proceedings of the Cambridge Philosophical Society  (1976), 79: 25-42

Tuesday, April 19, 2011

Romancing the Omega

Filed under: General,Geometry — m759 @ 12:25 pm

Today's news from Oslo suggests a review—

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

Click for further details.

The circular sculpture in the foreground
is called by the artist "The Omega Point."
This has been described as
"a portal that leads in or out of time and space."

Some related philosophical remarks—

Oslo Connection and some notes on Galois connections.

Friday, February 11, 2011

Omega*

Filed under: General — m759 @ 1:00 pm

And I'd  like to thank the heroine of Finale

Image-- Josefine Lyche as Diamond Girl, representing the soul's triumph over evil

*  The title refers to a 2009 sculpture by Lyche

  http://www.log24.com/log/pix11/110212-OmegaPoint-Lyche-360w.jpg

   For a related shape, see today's noon post.

Friday, July 16, 2010

Point Omega continued

Filed under: General — m759 @ 1:26 pm

"We tried to create new realities overnight…."
Point Omega, quoted here in the post
Devising Entities (July 3, 2010)

Image-- NY Lottery, evening  July 15=000, midday July 16=911

See also last night's Meditation as well as the earlier posts
Language Game and The Subject Par Excellence.

Friday, July 2, 2010

The Girl Who Fixed the Omega

Filed under: General — m759 @ 7:29 pm

Thanks to Nora Ephron for "The Girl Who Fixed the Umlaut"
(New Yorker  of July 5, 2010).

How to type a capital Omega—

Number Lock on, Alt key down, then numeric keypad
(or, on laptop, fn-style numbers on letter keys) 234.
Alt key up. Result: Ω.  Number Lock off.

Related poetic flight of fancy—

The most recent occurrence of 234 in the New York Lottery was on
August 6, 2008, the Feast of the Transfiguration.

Clicking on the Transfiguration link in this journal's post
for that date leads to an article on poet Paul Mariani.

Tracing a quotation in that article leads to…

http://www.log24.com/log/pix10A/100702-Mariani-TheCup.gif

The date of Mariani's poem, 24 August 2002, leads to a post in this journal
related to Mariani's "Loyola's Company" and to "that language only
light and diamonds know."

Related material: last night's Omega at Eight.

Thursday, July 1, 2010

Omega at Eight

Filed under: General,Geometry — Tags: — m759 @ 8:00 pm

The "compact key to universal wisdom" passage in the previous post seemed
too well written to be the work of an anonymous webforum author.

Here is a slightly expanded version—

Throughout history mystics and philosophers have sought
a compact key to universal wisdom, a finite formula or text
that would provide the answer to every question. The use of
the Bible, the Koran and the I Ching for divination and the
tradition of the secret books of Hermes Trismegistus and the
medieval Jewish Cabala exemplify this belief or hope.  Such
sources of universal wisdom are traditionally protected from
casual use by being difficult to find as well as difficult to un-
derstand and dangerous to use, tending to answer more quest-
ions and deeper ones than the searcher wishes to ask. The
esoteric book is, like God, simple yet undescribable. It is om-
niscient, and it transforms all who know it. The use of clas-
sical texts to foretell mundane events is considered supersti-
tious nowadays, yet in another sense science is in quest of its
own Cabala, a concise set of natural laws that would explain
all phenomena. In mathematics, where no set of axioms can
hope to prove all true statements, the goal might be a concise
axiomatization of all "interesting" true statements.
      Ω is in many senses a Cabalistic number. It can be known
of through human reason, but not known. To know it in detail
one must accept its uncomputable sequence of digits on faith,
like words of a sacred text.   

This is Martin Gardner's* and Charles H. Bennett's
revised version of a passage from Bennett's  paper
"On Random and Hard-to-Describe Numbers," 1979.

The original passage from Bennett's paper—

Throughout history mystics and philosophers have sought a compact key to
universal wisdom, a finite formula or text which, when known and understood,
would provide the answer to every question. The Bible, the Koran, the mythical
secret books of Hermes Trismegistus, and the medieval Jewish Cabala have
been so regarded. Sources of universal wisdom are traditionally protected from
casual use by being hard to find, hard to understand when found, and dangerous
to use, tending to answer more and deeper questions than the user wishes to
ask. Like God the esoteric book is simple yet undescribable, omniscient, and
transforms all who know It. The use of classical texts to fortell [sic] mundane events
is considered superstitious nowadays, yet, in another sense, science is in quest of
its own Cabala, a concise set of natural laws which would explain all phenomena.
In mathematics, where no set of axioms can hope to prove all true statements,
the goal might be a concise axiomatization of all "interesting" true statements.
      Ω is in many senses a Cabalistic number. It can be known of, but not known,
through human reason. To know it in detail, one would have to accept its un-
computable digit sequence on faith, like words of a sacred text.

The Bennett paper deals with Gregory Chaitin's concept of an "Omega Number."

I prefer the Omega of Josefine Lyche—

Image-- Uncertified copy of 1986 figures by Cullinane in a 2009 art exhibit in Oslo

Click for further details.

See also All Hallows' Eve, 2002.

* Martin Gardner's Mathematical Games  column
"The Random Number Omega Bids Fair to Hold the Mysteries of the Universe,"
Scientific American, November 1979, 241(5), pp. 20–34.
The column is reprinted as "Chaitin's Omega," Ch. 21, pp. 307-319 in the
collection of Gardner's columns titled Fractal Music, Hypercards and More,
W.H. Freeman & Co., 1991

Friday, April 12, 2024

Carmel Review

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

"Clint Eastwood, 93, appears frail but spirited
as he is seen in rare public appearance at
primatologist Dr. Jane Goodall event in Carmel"

— By Karen Ruiz For Dailymail.com
Published: 10:39 am EDT, 12 April 2024

The event, on Sunday, March 24, 2024, suggests a review —

 

'In the end the space itself is the star'— Gia Kourlas

Saturday, March 23, 2024

Alpha Bets

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

"So you wanna play with magic?" — Katy Perry

Friday, February 23, 2024

North by Northwest: The Local Edge

Filed under: General — Tags: — m759 @ 3:18 pm

"Looking for what was, where it used to be" — Wallace Stevens

 

— "Is this your business?"

— "No, but this  is."

Sunday, January 28, 2024

For Loki at the Disney Wormhole

Filed under: General — Tags: — m759 @ 10:28 am

Related material for fans of the Story Theory of Truth

Colliding Storylines.

Monday, January 15, 2024

Sunday, November 5, 2023

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 —

Saturday, November 4, 2023

Patterning

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

Thursday, October 12, 2023

Disney Wormhole

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

Tuesday, October 10, 2023

Exploring Color Space:  Pinkie and Blue Boy

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

Also at the Huntington in San Marino

Saturday, April 29, 2023

Seeking Limits

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

"Even though he’s not currently part of a Star Wars  movie,
Lindelof seems open to working on the franchise down the line.
'Will I get back in line outside the club and try to get back in again?
Of course,' he added. '[Star Wars ] was the alpha and the omega.
It’s the first movie I saw in a movie theater. I love all of the storytelling
in that world. If at first you don’t succeed, try, try again. Or again, again,
try, as Yoda would say.' ” — Jay Peters, The Verge , April 28, 2023

Tuesday, February 21, 2023

Annals of Media: Carr Keys

Filed under: General — Tags: — m759 @ 1:28 pm

 

For Carr as dominant and
Boston University students
as submissive, see . . .

 .

Carr's BU syllabus is dated Aug. 4, 2014.
For some other content from that date, see . . .

The Omega Portal.

Tuesday, January 31, 2023

“Modern Space Design”

Filed under: General — Tags: , , , — m759 @ 1:33 am

Confession in 'The Seventh Seal'

Sunday, January 1, 2023

Alpha

Filed under: General — Tags: — m759 @ 6:18 am

Wallace Stevens —

"Reality is the beginning not the end,
Naked Alpha, not the hierophant Omega,
Of dense investiture, with luminous vassals."

— “An Ordinary Evening in New Haven” VI

Friday, September 30, 2022

Classics Illustrated: The Bitmap File  by Harlan Kane

Filed under: General — m759 @ 10:21 am

Related Log24 posts

See Vox Lux and Mathieu Omega.

Related book cover

Monday, August 22, 2022

Tokens/Totems

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

See Ballet Blanc  and Black Art in this journal.

From the former:

"A blank underlies the trials of device."

— Wallace Stevens

From the latter:

IMAGE- 'Inception' totems: red die and chess bishop, with Inception 'Point Man' poster

Friday, August 19, 2022

The Guy Embedding

Filed under: General — Tags: , , — m759 @ 3:43 pm

M. J. T. Guy discovered that the lexicographic  version
of the Golay code contains, embedded within it, the
Miracle Octad Generator  (MOG)  of R. T. Curtis.

For 12 basis vectors of the lexicographic version, see below.

Basis vectors for the lexicographic version of the binary Golay code

For some context, click the embedded guy.

For a closely related, but simpler, mathematical
structure, see posts tagged The Omega Matrix.

Friday, June 10, 2022

Songlines.space

Filed under: General — Tags: , , — m759 @ 8:36 am

To me, the new URL "Songlines.space" suggests both the Outback
and the University of Western Australia. For the former, see
"'Max Barry' + Lexicon" in this journal. For the latter, see SymOmega.

The new URL forwards to a combination of these posts.

A related song

'The Eddington Song'

Wednesday, February 9, 2022

8!

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

Conwell, 1910 — 

(In modern notation, Conwell is showing that the complete
projective group of collineations and dualities of the finite
3-space PG (3,2) is of order 8 factorial, i.e. "8!"
In other words, that any  permutation of eight things may be
regarded as a geometric transformation of PG (3,2).)

Later discussion of this same "Klein correspondence"
between Conwell's 3-space and 5-space . . .

A somewhat simpler toy model —

Page from 'The Paradise of Childhood,' 1906 edition

Related fiction —  "The Bulk Beings" of the film "Interstellar."

Sunday, November 14, 2021

Greek-Letter Structures

Filed under: General — m759 @ 6:29 pm
 

Α, ϴ, Ω 

Alpha,    Theta,    Omega

Related line

"Falls  the  Shadow."
 

Also from a Culture Desk  of sorts:

Related art — Background colors for the letters in the NPR logo

Saturday, September 11, 2021

Reality for Academia

Filed under: General — Tags: — m759 @ 4:16 pm

The title of the previous post, "Ground Omega," suggests a related  nightmare . . .

A writer of fiction in the previous post

"When we say a thing is unreal, we mean it is too real…."

Old joke —

"What you mean 'we,' paleface?"

At Ground Omega  in the above My Hero Academia  site —

"The twenty-four students are split into six groups of four…."

I prefer the similar splittings of  the Curtis  Omega

Monday, August 16, 2021

The Space of Possibilities

Filed under: General — Tags: , , — m759 @ 3:57 am

The title is from "Federico Ardila on Math, Music and
the Space of Possibilities
," a podcast from Steven Strogatz's
Quanta Magazine  series. The transcript is dated March 29, 2021.

Ardila: … in a nutshell, what combinatorics is about is just
the study of possibilities and how do you organize them,
given that there’s too many of them to list them.

Strogatz:  So, I love it. Combinatorics is not just
the art of the possible, but the enumeration of the possible,
the counting of the possible and the organizing of the possible.

Strogatz:  It’s such a poetic image, actually: the space of possibilities.

This  journal on the podcast date, March 29, 2021 —

A more precise approach to the space of possibilities:

Sunday, July 25, 2021

Math Rights

Filed under: General — Tags: — m759 @ 7:00 pm

"The Algebra Project  was born.

The project was a five-step philosophy of teaching
that can be applied to any concept, he wrote, 
including physical experience, pictorial representation,
people talk (explain it in your own words), feature talk
(put it into proper English) and symbolic representation."

The New York Times  today

"He wrote"

See pages 120-122 in . . .

Sunday, June 6, 2021

Large-Screen Pioneer

Filed under: General — m759 @ 12:52 pm

From today's New York Times  obituary of a pioneering filmmaker —

"In 1948, he enrolled at the University of Toronto 
to study political science and economics.
The avant-garde filmmaker Maya Deren taught
a workshop at the university one semester and
he became her lighting assistant. She encouraged
him to abandon economics and make movies instead."

Deren previously appeared here on Sunday, March 31, 2019:

For some wide-screen non-illusion, see . . .

Related material —

Wednesday, May 26, 2021

Heavy Metaphor

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

Earlier posts that are also tagged "Points Omega" suggest some 
context for a May 19 New Republic  illustration.

      x -1/x
 

  See as well
"Flowers and Brown."

Monday, May 24, 2021

For Doctor Manhattan

Filed under: General — m759 @ 10:33 am

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

See also related material in The New Yorker  and the National Review .

Friday, May 7, 2021

Types of Ambiguity

Filed under: General — m759 @ 1:24 pm

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

Thursday, April 15, 2021

Grid View and List View

Filed under: General — m759 @ 2:30 pm

From AntiChristmas 2010

Image-- Rosalind Krauss and The Ninefold Square

Above: Art Theorist Rosalind Krauss and The Ninefold Square

   For Krauss:

      Grid View                                                List View

Wednesday, January 20, 2021

Key

Filed under: General — Tags: , — m759 @ 10:55 pm

An image from the opening of the Netflix series “Locke & Key” —

See also Omega in this journal.

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

The key is the cocktail that begins the proceedings.”

– Brian Harley, Mate in Two Moves

Friday, November 27, 2020

The Sun-Ra Code

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

Monday, August 10, 2020

Spirit Birds…

Filed under: General — m759 @ 10:05 am

Continues.

“Sometimes a wind comes before the rain
and sends birds sailing past the window,
spirit birds that ride the night,
stranger than dreams.”

— The end of DeLillo’s Point Omega

Friday, August 7, 2020

Spirit Birds

Filed under: General — m759 @ 2:11 pm

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.

Saturday, April 4, 2020

Devising Entities…

Filed under: General — m759 @ 9:34 am

Continues.

The previous post  displayed a photo from November 2014.

Remarks quoted here  in November 2014

“Before time began, there was the Cube.”
— Optimus Prime

Friday, December 27, 2019

The Secret Life of Mark Alpert

Filed under: General — Tags: — m759 @ 9:45 am

Booklist on Final Theory :

"Alpert, an editor for Scientific American , laces his high-IQ
doomsday thriller with clearly explicated and hauntingly beautiful
scientific theories…."

Booklist on The Omega Theory

"Alpert’s follow-up to his acclaimed first novel, Final Theory  (2008),
continues the adventures of science historian David Swift."

See as well this  journal on June 1, 2008.

Monday, December 2, 2019

Gray Space

Filed under: General — Tags: , — m759 @ 3:00 pm

See as well a search for Gray Space in this journal.

Related material:  The Schwartz Omega .

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

— Richard Evan Schwartz

Tuesday, November 26, 2019

Alea Iacta Est*

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

Saturday evening's post Diamond Globe suggests a review of

Iain Aitchison on symmetric generation of M24 —

Iain Aitchison on symmetric generation of M24

     * A Greek version for the late John SImon:

«Ἀνερρίφθω κύβος».

Thursday, November 7, 2019

For Connoisseurs of Insane Fantasy

Filed under: General — Tags: — m759 @ 11:23 am

From a 1962 young-adult novel —

"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."

Song adapted from a 1960 musical —

"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"

Google News 'For you' comic book news item

Wednesday, October 9, 2019

Philosophical Infanticide

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

From Wallace Stevens —

"Reality is the beginning not the end,
Naked Alpha, not the hierophant Omega,
Of dense investiture, with luminous vassals."

— “An Ordinary Evening in New Haven” VI

From The Point  magazine yesterday, October 8, 2019
Parricide:  On Irad Kimhi's Thinking and Being .
Book review by Steven Methven.

The conclusion:

"Parricide is nothing that the philosopher need fear . . . .
What sustains can be no threat. Perhaps what the
unique genesis of this extraordinary work suggests is that
the true threat to philosophy is infanticide."

This remark suggests revisiting a post from Monday

Monday, October 7, 2019

Berlekamp Garden vs. Kinder Garten

Filed under: General — m759 @ 11:00 PM

Stevens's Omega and Alpha (see previous post)
suggest a review.

Omega — The Berlekamp Garden. 
                  See Misère Play (April 8, 2019).
Alpha  —  The Kinder Garten. 
                  See Eighfold Cube.

. . . .

Monday, October 7, 2019

Berlekamp Garden vs. Kinder Garten

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

Stevens's Omega and Alpha (see previous post) suggest a review.

Omega — The Berlekamp Garden.  See Misère Play (April 8, 2019).
Alpha  —  The Kinder Garten.  See Eighfold Cube.

Illustrations —

The sculpture above illustrates Klein's order-168 simple group.
So does the sculpture below.

Froebel's Third Gift: A cube made up of eight subcubes  

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168

Lenz

Filed under: General — m759 @ 2:56 pm

Or:  Je repars .

From Wallace Stevens —

"Reality is the beginning not the end,
Naked Alpha, not the hierophant Omega,
Of dense investiture, with luminous vassals."

— “An Ordinary Evening in New Haven” VI

Mathematician Hanfried Lenz reportedly died in Berlin on June 1, 2013.

This journal that weekend

Sunday, July 28, 2019

Review

Filed under: General — m759 @ 11:18 am

From a news article featured on the American Mathematical Society
home page today

A joint Vietnam-USA mathematical meeting in Vietnam on
June 10-13, 2019:

This  journal on June 12, 2019:

Wednesday, June 12, 2019

The Osterman Haiku

Filed under: General — m759 @ 11:32 PM Edit This

Click on the book cover below for posts tagged "Haiku."

'Point Omega' by DeLillo

See also the Twentieth of May, 2008 —

Welcome to the Garden Club, Pilgrim.

Wednesday, July 10, 2019

Plato, Republic, 7.527b

Filed under: General — m759 @ 7:11 pm

 τοῦ γὰρ ἀεὶ ὄντος ἡ γεωμετρικὴ γνῶσίς ἐστιν.

for geometry is the knowledge of the eternally existent.

See also the previous post — "Artifice of Eternity" —

and the June 23, 2010, post "Group Theory and Philosophy."

Wednesday, July 3, 2019

“From Here to Infinity”

Filed under: General — m759 @ 7:59 am

The above title is that of a facetious British essay linked to in the previous post.
It suggests a review . . .

“. . . some point in a high corner of the room . . . .”

      Point Omega

Wednesday, June 12, 2019

The Osterman Haiku

Filed under: General — m759 @ 11:32 pm

Click on the book cover below for posts tagged "Haiku."

IMAGE- 'Point Omega' by DeLillo

Saturday, June 1, 2019

Crystals for Dabblers

Filed under: General — Tags: — m759 @ 11:47 am

The title was suggested by the "Crystal Cult" installations
of Oslo artist Josefine Lyche and by a post of May 30 —

Thursday, May 30, 2019

Dabbling

Filed under: General — m759 @ 8:02 PM Edit This

Jeff Nichols, director of Midnight Special  (2016) —

"When asked about the film's similarities to
the 2015 Disney movie Tomorrowland , which
also posits a futuristic world that exists in an
alternative dimension, Nichols sighed.
'I was a little bummed, I guess,' he said of
when he first learned about the project. . . . 
'Our die was cast. Sometimes this kind of 
collective unconscious that we're all dabbling in,
sometimes you're not the first one out of the gate.' "

See also Jung's four-diamond figure and the previous post.

Writers of fiction are, of course, also dabblers in the collective unconscious.
For instance . . .

A 1971 British paperback edition of The Dreaming Jewels,  
a story by Theodore Sturgeon (first version published in 1950):

The above book cover, together with the Death Valley location
Zabriskie Point, suggests . . .

Those less enchanted by the collective unconscious may prefer a
different weblog's remarks on the same date as the above Borax post . . .

Tuesday, April 9, 2019

Old Guy with a Cane

Filed under: General — Tags: , — m759 @ 1:10 am

From yesterday's post Misère Play —

See as well New York Times  book review of the novel Point Omega .
(The Times 's "Wrinkle in Time" is the title of the review, not of the novel.)

Related material suggested by the publication date — March 27, 2014
of a novel titled Zero Sum Game  —

Saturday, April 6, 2019

Equine Meditations

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

Details from the previous post

"Some point in a high corner of the room" —

See as well Mysteries of Faith (Feb. 16, 2010).

Saturday, February 23, 2019

Code Rain

Filed under: General — Tags: — m759 @ 11:30 pm

See 031105-code in this journal, the Wachowskis
at Wikipedia, and The Omega Matrix in this journal.

Thursday, December 27, 2018

A Candle for Lily

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

Detail —

See also . . . http://m759.net/wordpress/?s=Alpha+Omega .

Tuesday, November 6, 2018

Desert Notes*

Filed under: General — Tags: — m759 @ 3:13 am

A November 1 LA Times  article about a book to be published today —

Why did Jonathan Lethem
turn toward the desert
in 'The Feral Detective'?

See also searches in this  journal for Desert and, more particularly,
Point Omega and Mojave.

* The title of a book by Barry Holstun Lopez.

Wednesday, October 24, 2018

The Cracked Potter

Filed under: General — Tags: , — m759 @ 1:52 pm

See also an embedded ad in The Atlantic  magazine, Sept. 2017.

Tuesday, October 23, 2018

Simplicity Versus Complexity

Filed under: General — m759 @ 7:13 pm

Simplicity  (Click for some complexity.)

Complexity  (Click for some simplicity.)

A passage from the 2011 book Idea Man  that was suggested by
a recent New Yorker  article on the book's author, the late Paul Allen —

Left-click image to enlarge.

Sunday, October 21, 2018

Simplicity

Filed under: General — m759 @ 11:00 am


 

Saturday, August 25, 2018

Point at Infinity

Filed under: General,Geometry — Tags: , — m759 @ 5:20 am

In literature —

http://www.log24.com/log/pix18/180825-Point_Omega-cover.jpg

In film —

http://www.log24.com/log/pix18/180825-Borrego-script-Instagram-foto-only-500w.jpg

In mathematics —

http://www.log24.com/log/pix18/180824-Alperin-Groups_and_Representations-1995-p61-Further_Exercises.jpg

Wednesday, August 1, 2018

Publish or …

Filed under: General — m759 @ 9:00 pm
 

From The New York Times  online on July 29 —

" Ms. Appelbaum’s favorite authors, she said in an interview with The Internet Writing Journal in 1998, were too many to count, but they included George Eliot, Anthony Trollope, Anne Tyler and Julian Barnes.

'I love to see writers expand our range of understanding, experience, knowledge, even happiness,' she said in that interview. 'Publishing has always struck me as a way to change the world.' "

A version of this article appears in print on , on Page B6 of the New York edition with the headline: Judith Appelbaum, Guru On Publishing, Dies at 78.

See a review of the new Anne Tyler novel Clock Dance
in today's  online New York Times .

For a more abstract dance, see Ballet Blanc .

"A blank underlies the trials of device." — Wallace Stevens

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"

Wednesday, June 27, 2018

Stage

Filed under: General,Geometry — Tags: — m759 @ 9:27 am

See Ballet Blanc 
and Still Point.

Thursday, June 21, 2018

Kummerhenge

Filed under: General,Geometry — Tags: , , — m759 @ 2:19 am

See also the Omega Matrix in this  journal.

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 —

Monday, May 7, 2018

Data

Filed under: General — Tags: , — m759 @ 10:32 am

(Continued from yesterday's Sunday School Lesson Plan for Peculiar Children)

Novelist George Eliot and programming pioneer Ada Lovelace —

For an image that suggests a resurrected multifaceted 
(specifically, 759-faceted) Osterman Omega (as in Sunday's afternoon
Log24 post
), behold  a photo from today's NY Times  philosophy
column "The Stone" that was reproduced here in today's previous post

For a New York Times  view of George Eliot data, see a Log24 post 
of September 20, 2016, on the diamond theorem as the Middlemarch
"key to all mythologies."

Tuesday, February 13, 2018

A Titan of the Field

Filed under: General,Geometry — Tags: — m759 @ 9:45 am
 

On the late Cambridge astronomer Donald Lynden-Bell —

"As an academic at a time when students listened and lecturers lectured, he had the disconcerting habit of instead picking on a random undergraduate and testing them on the topic. One former student, now a professor, remembered how he would 'ask on-the-spot questions while announcing that his daughter would solve these problems at the breakfast table'.

He got away with it because he was genuinely interested in the work of his colleagues and students, and came to be viewed with great affection by them. He also got away with it because he was well established as a titan of the field."

The London Times  on Feb. 8, 2018, at 5 PM (British time)

Related material —

Two Log24 posts from yesteday, Art Wars and The Void.

See as well the field GF(9)

http://www.log24.com/log/pix12/120220-CoxeterFig10.jpg

and the 3×3 grid as a symbol of Apollo
    (an Olympian rather than a Titan) —

 .

Sunday, November 5, 2017

Trinity

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

A model of the smallest projective  line:

Related drama:  See Wicker Man in this journal.

Monday, October 2, 2017

Springer Link

Filed under: General — Tags: — m759 @ 7:08 pm

A check of the second editor of the history of modern algebra
in the previous post yields

The "first online" date, 13 May 2015, in the above Springer link
suggests a review of Log24 posts tagged Clooney Omega.

Another remark by Parshall, on her home page

"… and I will brought out the edietd [ sic ] volume, Bridging Traditions:
Alchemy, Chymistry, and Paracelsian Traditions in Early Modern Europe:
Essays in Honor of Allen G.Debus,
 in 2015 in the Early Modern Studies
series published by the Truman State University Press."

Happy birthday to the late Wallace Stevens.

Sunday, August 6, 2017

Dark Tower Theology

Filed under: General — m759 @ 9:00 pm

In memory of a TV gunslinger who reportedly died Thursday, August 3, 2017 . . .

From this journal on that day (posts now tagged Dark Tower Theology) —

"The concept under review is that of the Holy Trinity.
  See also, in this  journal, Cube Trinity.
  For a simpler Trinity model, see the three-point line  "

"Would that it were so simple."

Thursday, August 3, 2017

Poetic Theology at the New York Times

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

Or:  Trinity Test Site

From the New York Times Book Review  of
next Sunday, August 6, 2017 —

"In a more conventional narrative sequence,
even a sequence of poems,
this interpenetration would acquire
sequence and evolution." [Link added.]

The concept under review is that of the Holy Trinity.

See also, in this  journal, Cube Trinity.

For a simpler Trinity model, see the three-point line  

Saturday, July 29, 2017

MSRI Program

Filed under: General,Geometry — Tags: , — m759 @ 8:29 pm

"The field of geometric group theory emerged from Gromov’s insight
that even mathematical objects such as groups, which are defined
completely in algebraic terms, can be profitably viewed as geometric
objects and studied with geometric techniques."

— Mathematical Sciences Research Institute, 2016:

Geometric Group theory at MSRI (pronounced 'Misery')

See also some writings of Gromov from 2015-16:

For a simpler example than those discussed at MSRI
of both algebraic and geometric techniques applied to
the same group, see a post of May 19, 2017,
"From Algebra to Geometry." That post reviews
an earlier illustration —

For greater depth, see "Eightfold Cube" in this journal.

Friday, July 7, 2017

Psycho History

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

The title was suggested by the term “psychohistory” in
the Foundation  novels of Isaac Asimov. See the previous post.

See also a 2010 New York Times  review of
DeLillo’s novel Point Omega . The review is titled,
without any other reference to L’Engle’s classic tale
of the same name, “A Wrinkle in Time.”

IMAGE- NY Times headline 'A Wrinkle in Time' with 24 Hour Psycho and Point Omega scene

Related material: The Crosswicks Curse.

Friday, May 26, 2017

Night at the Museum

Filed under: General — Tags: , , — m759 @ 10:05 pm

In memory of an author who reportedly 
died on Wednesday, May 24.

Confession in 'The Seventh Seal'

Friday, May 19, 2017

From Algebra to Geometry

Filed under: General,Geometry — Tags: — m759 @ 10:45 pm

Friday, April 28, 2017

A Problem for Houston…

Filed under: General — m759 @ 9:42 pm

And a memorable Houston lawyer who reportedly died today
at 90 at his home in Trinity, Texas

"Da hats ein Eck . "

See as well Sunday Review and Clooney Omega in this journal.

Thursday, April 20, 2017

Stone Logic

Filed under: General,Geometry — Tags: — m759 @ 9:48 pm

See also “Romancing the Omega” —

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

Related mathematics — Guitart in this journal —

From 'Moving Logic, from Boole to Galois,' by René Guitart, 2005

See also Weyl + Palermo in this journal —

http://www.log24.com/log/pix11B/110922-TriquetrumCube.jpg

Tuesday, March 21, 2017

Requiescat in Pace

Filed under: General — Tags: — m759 @ 7:45 pm

The Chicago Tribune  today —

H. Wilbert Norton, college president
and Christian missionary, dies

Norton reportedly died at 102 on Feb. 20, 2017.

This evening's previous post linked the death dates of two
academics to two Log24 posts that both contained the
following image —

For some backstory, see the Log24 posts from the date
of Norton's reported death, February 20.

Thursday, March 16, 2017

Product

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

"Human perception is a saga of created reality."

— Don DeLillo, Point Omega

See "Important Product" in this journal and the previous post.

Monday, March 13, 2017

Underground Comix

Filed under: General — Tags: — m759 @ 12:45 pm

Continued from last night

From the American Mathematical Society, a news item
dated Thursday, March 9, 2017 —

Remarks by Schwartz quoted here on March 7—

Sunday, March 12, 2017

Raise High the Ridgepole, Architects*

Filed under: General — m759 @ 2:40 pm

A post suggested by remarks of J. D. Salinger in 
The New Yorker  of November 19, 1955 —

Wikipedia:  Taiji (philosophy)

Etymology

The word 太極 comes from I Ching : "易有太極,是生兩儀,兩儀生四象,四象生八卦,八卦定吉凶,吉凶生大業。"

Taiji  (太極) is a compound of tai   "great; grand; supreme; extreme; very; too" (a superlative variant of da   "big; large; great; very") and ji   "pole; roof ridge; highest/utmost point; extreme; earth's pole; reach the end; attain; exhaust". In analogy with the figurative meanings of English pole, Chinese ji  極 "ridgepole" can mean "geographical pole; direction" (e.g., siji  四極 "four corners of the earth; world's end"), "magnetic pole" (Beiji  北極 "North Pole" or yinji  陰極 "negative pole; cathode"), or "celestial pole" (baji  八極 "farthest points of the universe; remotest place"). Combining the two words, 太極 means "the source, the beginning of the world".

Common English translations of the cosmological Taiji  are the "Supreme Ultimate" (Le Blanc 1985, Zhang and Ryden 2002) or "Great Ultimate" (Chen 1989, Robinet 2008); but other versions are the "Supreme Pole" (Needham and Ronan 1978), "Great Absolute", or "Supreme Polarity" (Adler 1999).

See also Polarity in this journal.

* A phrase adapted, via Salinger,
from a poem by Sappho

Ἴψοι δὴ τὸ μέλαθρον,
     Υ᾽μήναον
ἀέρρετε τέκτονεσ ἄνδρεσ,
     Υ᾽μήναον
γάμβροσ ἔρχεται ἶσοσ Ά᾽ρευϊ,
     [Υ᾽μήναον]
ανδροσ μεγάλο πόλυ μείζων
     [Υ᾽μήναον]

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:

Saturday, February 11, 2017

Artistic Signifier

Filed under: General — m759 @ 1:58 am

RSS feed screenshot of 1:53 AM ET today —

'Step aside, beauty and truth... Art's new  alpha and omega is identity.'

Sunday, December 18, 2016

Manifest O

Filed under: General — m759 @ 10:10 pm

"The Osterman Weekend" (1983) —

IMAGE- Chair from 'Osterman Weekend' ending

“Am I still on?” — Ending line of  The Osterman Weekend  (1983)

Monday, October 17, 2016

Groundhog Day for Hindus

Filed under: General — Tags: — m759 @ 11:25 am

Live, Die, Repeat.

Groundhog Day Tablet

Filed under: General — Tags: — m759 @ 10:00 am

This  journal on that date —

The Los Angeles Times  this morning reported that poet
David Antin died at 84 last Tuesday, October 11.

From this  journal on that date

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