Log24

Saturday, April 18, 2020

Dark Passage

Filed under: General — Tags: — m759 @ 5:43 pm

Log24 on the morning of Wheeler’s death

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

Judy Davis in the Marabar Caves

Cold Comfort

Filed under: General — Tags: , — m759 @ 10:25 am

“Where there is meat, there are flies.”
— John Archibald Wheeler

“ Simon’s head was tilted slightly up.
His eyes could not break away
and the Lord of the Flies hung in space
before him.

‘What are you doing out here all alone?
Aren’t you afraid of me?’

Simon shook.

‘There isn’t anyone to help you.
Only me.  And I’m the Beast.’ ”

— William Golding

Friday, April 17, 2020

Academic Games and the Plague

Filed under: General — m759 @ 11:22 pm

See also the previous post.
The above date “4 avril 2016”
suggests a review of that date
in this journal: “Cube for Berlin.”

Expanding (and Mixing) Metaphors

Filed under: General — m759 @ 10:37 pm

“But while Camus was writing for the moment,
he was also writing for the future. He was making art
out of what happens between antibodies and germs,
expanding metaphors from the molecular level.”

Laura Marris on translating The Plague

Another remark on dramatic irony —

See as well “two-way mirror” in this  journal.

Under the April Snow…

Filed under: General — Tags: — m759 @ 3:26 pm

Nonsense for Streisand:

A Mechanism of Fission

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

The above title was suggested by the previous post, Explosive Remarks.

'On Froebel's Third Gift,' from 'Paradise of Childhood,' 1906

Explosive Remarks

Filed under: General — Tags: — m759 @ 2:15 pm

Here is the background to Wheeler’s explosive remarks.

John Archibald Wheeler, director of the Center
for Theoretical Physics at the University of Texas,
is one of the world’s top theoretical physicists.
In 1939 he and Niels Bohr published a paper on
‘The Mechanism of Nuclear Fission”
that laid the groundwork for atomic and hydrogen bombs.
Wheeler later played major roles in their development.”

For a rather different explosion of Wheeler’s views, see the previous post.

Introduction to Quantum Woo

Filed under: General — Tags: — m759 @ 1:07 am

“In his big book, Gravity  [sic ], Wheeler puts our space
into what he calls superspace, and speculates on the
most basic physical laws which operate on superspace.
He comes to the (to me) surprising conclusion that the
rock-bottom laws are the laws of the propositional calculus!”

— Martin Gardner, letter to Donald E. Knuth, 8 January 1976,
on cover of Notices of the American Mathematical Society ,
March 2011 issue.

Fact check —

Related reading —

Thursday, April 16, 2020

A Four-Color Epic

Filed under: General — Tags: , , , — m759 @ 4:15 pm

A love story of epic, epic, epic proportion” — Kristen Stewart

See also the following letter to Knuth on four-color enthusiast
Spencer-Brown, as well as Tim Robinson on the same subject
in his book My Time in Space .

Snow White’s Time in Space

Filed under: General — Tags: , — m759 @ 2:32 pm

Kristen Stewart — 'Freezin' my ass off'

See as well Pi Day 2020.

The Dreaming

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

Wednesday, April 15, 2020

Found Art

Filed under: General — m759 @ 10:30 pm

Death Warmed Over

Filed under: General — Tags: , — m759 @ 4:01 pm

In memory of the author of  My Time in Space * —

Tim Robinson, who reportedly died on April 3 —

 See also an image from a Log24 post, Gray Space

Related material from Robinson’s reported date of death —

* First edition, hardcover, Lilliput Press, Ireland, April 1, 2001.

Refutation

Filed under: General — m759 @ 1:15 pm

A post by David Justice today suggests a review —

A more literary approach to refutation —

“He is real,” said the boy, passionately. “He’s not a fool. He’s real.”

“Listen,” said his father. “When you go down the garden there’s nobody there. Is there?”

“No,” said the boy.

“Then you think of him, inside your head, and he comes.”

“No,” said Small Simon. “I have to make marks. On the ground. With my stick.”

“That doesn’t matter.”

“Yes, it does.”

— John Collier, “Thus I Refute Beelzy.”

Oslo Prophet (after Varignon)

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

See also Invariance, a Log24 post from yesterday morning —

Note the resemblance to Plato’s Diamond.

“Causal Invariance” According to Wolfram

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

Stephen Wolfram yesterday —

“Causal invariance may at first seem like a rather obscure property.
But in the context of our models, we will see in what follows that
it may in fact be the key to a remarkable range of fundamental features
of physics, including relativistic invariance, general covariance, and
local gauge invariance, as well as the possibility of objective reality in
quantum mechanics.”

From . . .

Tuesday, April 14, 2020

Confluence, or:

Filed under: General — Tags: — m759 @ 7:21 pm

Church Diamond   Continued

The above article leads to remarks by Stephen Wolfram published today :

See also “Invariance” as the title of the previous post  here.

Invariance

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

Note the resemblance to Plato’s Diamond.

Click the Pritchard passage above for an interactive version.

Monday, April 13, 2020

Cover Art

Filed under: General — m759 @ 9:57 pm

Click for the source.
See also some related news.

Tribute

Filed under: General — m759 @ 2:46 pm

The May 2020 Notices of the American Mathematical Society  has a
memorial tribute article on Goro Shimura, who died on May 3, 2019.

See also this  journal on May 3, 2019 in posts now tagged Wondertale.

Related ethnic remark:  “As a Chinese jar…” — T. S.  Eliot

 

“Things can get muddled further….”

— Webpage on the Japanese word

manji.

Indeed they can :

Cubes and Axes

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

See also this  journal on November 29, 2011 —The Flight from Ennui.

Related illustration from earlier in 2011 —

See also this  journal on 20 Sept. 2011 — Relativity Problem Revisited —
as well as Congregated Light.

Sunday, April 12, 2020

Blackboard Jungle Continues.

Filed under: General — m759 @ 10:00 pm

From a post this morning  by Peter J. Cameron
in memory of John Horton Conway —

” This happened at a conference somewhere in North America. I was chairing the session at which he was to speak. When I got up to introduce him, his title had not yet been announced, and the stage had a blackboard on an easel. I said something like ‘The next speaker is John Conway, and no doubt he is going to tell us what he will talk about.’ John came onto the stage, went over to the easel, picked up the blackboard, and turned it over. On the other side were revealed five titles of talks. He said, ‘I am going to give one of these talks. I will count down to zero; you are to shout as loudly as you can the number of the talk you want to hear, and the chairman will judge which number is most popular.’ “
From Log24 on August 21, 2014
Thursday, August 21, 2014

Nox

Filed under: Uncategorized — m759 @ 1:00 AM

( A sequel to  Lux )

“By groping toward the light we are made to realize
how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118

Robin Williams and the Stages of Math

i)   shock & denial
ii)  anger
iii) bargaining
iv) depression
v)  acceptance

A related description of the process —

“You know how sometimes someone tells you a theorem,
and it’s obviously false, and you reach for one of the many
easy counterexamples only to realize that it’s not a
counterexample after all, then you reach for another one
and another one and find that they fail too, and you begin
to concede the possibility that the theorem might not
actually be false after all, and you feel your world start to
shift on its axis, and you think to yourself: ‘Why did no one
tell me this before?’ “

— Tom Leinster yesterday at The n-Category Café

News

Filed under: General — m759 @ 11:42 am

Sermon

Filed under: General — m759 @ 11:01 am

See Building-Block Theory.

Saturday, April 11, 2020

Process

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

“… the Jesuit religious order, whose intensive, extensive ordination process
typically takes about 10 years”

— The above link in The New York Times  today leads to . . .

For the Church of Synchronology

A post in this  journal on the above Jesuit date —  Aug. 11, 2013
leads to a John Hurley at Wolfram Demonstrations . . .

This may or may not be the John Hurley described in the
LinkedIn page below (click for further details):

Dream

Filed under: General — Tags: — m759 @ 9:26 am

“All the schools of philosophy, from ancient Greece to the Enlightenment
encyclopedists, have dreamt of one day arriving at total and definitive
knowledge, a knowledge that encompasses the world. Indeed, the dream
lives on in the minds of some scientists today.”

— “Does Basic Research Have Meaning?” by Laurent Lafforgue —

“La recherche fondamentale a-t-elle un sens?
Quelques remarques d’un mathématicien catholique,”
Conférence donnée à l’Université de Notre-Dame,
aux États-Unis, le 20 mai 2011. Voici la version anglaise 
de cette conférence (traduite par Hélène Wilkinson)

Et voici  Larkin in Devs

See too “musical brocade” in this journal.

Friday, April 10, 2020

The Extremadura Passion

Filed under: General — m759 @ 11:52 pm

“At the spiritual level, the biggest oeuvre (in my eyes)
accomplished by a man, was the Passion
of the Christ and his death on the cross…”

— Quotation said to be by Grothendieck, replying to
a 1987 letter from Juan Antonio Navarro González .
The quotation is from . . .

For Pleasantly Discursive Day

Filed under: General — m759 @ 11:47 am

See “Pleasantly Discursive” in this journal.

Thursday, April 9, 2020

A Mad Night’s Work, or: Passover for Figaro

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

Symmetry: Toro, Torino

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

For the Toro , see  Pierre Cartier in 2001 on the barber of Seville and
The evolution of concepts of space and symmetry.”

For the Torino , see . . .

“… the ultimate goal of the present essay
which is to illustrate the historic
evolution of the concepts of Space  and Symmetry

Pp. 157-158 of the above book.

See also Fré et al. , “The role of PSL(2,7) in M-theory”
(2018-2019) at  http://arxiv.org/abs/1812.11049v2 ,
esp. Section 4, “Theory of the simple group PSL(2,7)”
on pages 11-27, and remarks on PSL(2,7) in this  journal.

Related material —

Wednesday, April 8, 2020

For LA Boulevardiers

Filed under: General — Tags: , — m759 @ 10:15 pm

A screenshot from 10:07 PM EDT —

See also this journal on Sunset Boulevard.

Follow the Ring

Filed under: General — Tags: — m759 @ 8:45 pm

Click the ring for Pierre Cartier on the barber of Seville
and “The evolution of concepts of space and symmetry.”

Detail

Filed under: General — Tags: — m759 @ 2:26 pm

Detail from a photo in Quanta Magazine  today —

  Midrash —

Ironweed Meditation

Filed under: General — m759 @ 1:08 pm

Andrew Cusack’s post today on architecture in Albany
suggests a review of the 1988 film Ironweed.

The dies natalis  (in the Catholic sense) of that film’s
director was reportedly July 13, 2016.

See this  journal on that date.

A Midrash for Steiner

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

(The late Mark  Steiner, not the late George  Steiner.)

See Katherine Neville’s novel The Eight ,
Log24  posts tagged Crucible Raiders, and
St. Isidore, whose feast day is April 4 —

Mark Steiner’s book The Applicability of Mathematics
as a Philosophical Problem  (Harvard University Press, 2002,
$36.50) is available for free at a website named for St. Isidore.)

Ereignis ereignet.

Tuesday, April 7, 2020

Moonshine, the MOG, and the Hexacode

Filed under: General — m759 @ 9:26 pm

Eichler’s Amazing Bridge

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

The following historical remarks are quoted here because
of the above Quanta Magazine  article from yesterday.

From Richard Taylor, “Modular arithmetic:  driven by
inherent beauty and human curiosity
,” The Letter of the
Institute for Advanced Study 
[IAS], Summer 2012,
pp. 6– 8 (link added) :

“Stunningly, in 1954, Martin Eichler (former IAS Member)
found a totally new reciprocity law . . . .”  See as well —

Monday, April 6, 2020

Timequake

Filed under: General — Tags: — m759 @ 5:24 pm

The clock of Cortez's Palace in Cuernavaca

Parables

Filed under: General — Tags: — m759 @ 11:01 am

Alex Garland?

Sunday, April 5, 2020

“She do the Dickens in different voices”

Filed under: General — m759 @ 9:10 pm

From this journal on August 9, 2019

Block Designs?

Perhaps not.

From an Instagram account, also on August 9, 2019 — (click to enlarge) —

Plan 9 from The New York Times

Filed under: General — Tags: — m759 @ 12:02 pm

Click the image above for a tweet on the advertised IQ test.

Click the image below for the tweet’s details of the IQ test’s billing plan.

The Ghost in the Shell

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

Saturday, April 4, 2020

A Schicksalstag for the Author of The Eight

Filed under: General — m759 @ 5:57 pm

 

Plan 9 From Yale…

Filed under: General — Tags: — m759 @ 10:22 am

Continues.

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

Raumkraft

Filed under: General — m759 @ 8:35 am

A logo that appeared in the above 2014 photo —

Friday, April 3, 2020

Galois Space

Filed under: General — Tags: — m759 @ 7:58 pm

"Galois space" is now a domain name:  galois.space.

Versions

Filed under: General — m759 @ 9:45 am

A headline today —

Amazon’s ‘Tales From The Loop’ is
A Kinder, Gentler Version Of ‘Black Mirror’

From a search in this  journal for “Loop” —

http://www.log24.com/log/pix10A/100621-VisualizingDetail.gif

See also yesterday’s post “Mirror, Mirror.”

Thursday, April 2, 2020

Pattern

Filed under: General — m759 @ 7:59 pm

See also Plan 9 from Yale
and Galois Desargues.

Clarity and Precision

Filed under: General — m759 @ 11:55 am

Continued from August 2, 2019
( a date suggested by the following search ) —

An image from “The 7/11 Meditation” ( Log24  on August 2, 2019 ) —

The search suggested above on 7/11, 2018, yields . . .

Bellmen

Filed under: General — m759 @ 10:12 am

Mirror, Mirror

Filed under: General — m759 @ 9:27 am

Wednesday, April 1, 2020

Adventures in the Matrix

Filed under: General — m759 @ 11:01 pm

Meditation for the Cruelest Month

Filed under: General — m759 @ 8:49 pm

From a post of September 30, 2003 —

In Memoriam:  Carlo Casolo

Filed under: General — m759 @ 7:12 pm

Post for the SF*

Filed under: General — m759 @ 3:00 pm

See as well Log24 on the above arXiv date — “Compare and Contrast.”

The same date two years earlier was Easter Sunday.

* An abbreviation by Paul Erdős.

The Ghost

Filed under: General — Tags: — m759 @ 2:10 pm

Related material —

Sunday’s Plan 9 from Yale  as well as

http://www.arcadiainstitution.org/?page_id=16  and

https://www.flickr.com/photos/lselibrary/4114751310/in/photolist-7gBbd7.

Books at Perlego

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

Jung's Aion four-diamond diagram vs. recreational mathematics

” How small is the evil that may be safely ignored…? “
— “QBass” at Wikipedia, April 1, 2020

Good question.

Tuesday, March 31, 2020

Imperial Requiem

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

See as well Time Enough for Countin’.

The Screwtape Bishop

Filed under: General — Tags: , — m759 @ 8:30 am

Patrick Joseph McKinney is the 10th Bishop of Nottingham.
His appointment was announced on 14 May 2015 by Pope Francis.”
Wikipedia

Related material from this  journal on the date the Pope
appointed the Screwtape Bishop

Obit et Orbit  continues.

Monday, March 30, 2020

More Academic Ugliness

Filed under: General — Tags: — m759 @ 6:13 pm

The Boston Globe  on the dead architect of the previous post

"Mr. McKinnell, who was a fellow of the American Institute of Architects
and the American Academy of Arts and Sciences, and a member of the
Royal Institute of British Architects, taught for many years at the
Harvard Graduate School of Design and the Massachusetts Institute of
Technology School of Architecture and Planning."

Some ugly rhetoric to go with the ugly architecture —

Annals of Ugly Design

Filed under: General — Tags: — m759 @ 5:33 pm

The Boston Globe  Saturday on Friday's death of one of
the two architects of Boston City Hall

A gifted storyteller, Mr. McKinnell liked to recount
the response of renowned architect Philip Johnson to
City Hall. “ ‘Absolutely marvelous. … I think it’s wonderful.
… And it’s so ugly!’ ” Mr. McKinnell told Pasnik, adding:
“We thought that was the greatest praise we could get.”

See more ugliness from this  journal on Friday

See also this journal on the death of the other  City Hall architect.

Sunday, March 29, 2020

Metatextuality at Yale

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

See also this  journal on the date — February 19, 2009
of the above Ibsen opening, as well as today’s previous post.

Plan 9 from Yale

Filed under: General — Tags: — m759 @ 3:48 pm

“Play ‘Stella by Starlight’ for Lady Macbeth” — Bob Dylan

Shining Exorcist Composer

Filed under: General — m759 @ 8:39 am

Postman

Filed under: General — m759 @ 7:13 am

But seriously . . . (Click Yom Kippur for related posts.)

Saturday, March 28, 2020

Notes towards the Definition of Dylan

Filed under: General — m759 @ 10:36 am

From yesterday morning

“Play the numbers, play the odds
Play ‘Cry Me a River’ for the Lord of the gods”

— Bob Dylan at
https://genius.com/Bob-dylan-murder-most-foul-lyrics

This suggests . . .

Polydor 2001 566 —

Friday, March 27, 2020

Nobel Literature Lyrics

Filed under: General — m759 @ 9:47 am

“Play the numbers, play the odds
Play ‘Cry Me a River’ for the Lord of the gods”

— Bob Dylan at
https://genius.com/Bob-dylan-murder-most-foul-lyrics

See also “Cry Me a River” in this journal.

Annals of Literature

Filed under: General — Tags: — m759 @ 7:58 am

Recent posts now tagged Paycheck suggest . . .

Related material —

See too “The Bond with Reality” in posts tagged Voids.

The Lottery Midrash

Filed under: General — Tags: — m759 @ 6:55 am

NY Lottery numbers, midday and evening, March 26, 2020

For yesterday’s midday 179, see interpellation.

For yesterday’s evening 376, see transparencies.

Thursday, March 26, 2020

Line for a National Comedy Center

Filed under: General — Tags: — m759 @ 9:05 am

Log24 last Sunday:

Two years earlier —

Saturday Night Live on March 24, 2018 (a repeat) —

Related literature: The 1953 Philip K. Dick story
“Paycheck” —

A punchline for Saoirse —

“Manly, yes, but I like it too.”

Wednesday, March 25, 2020

Spectral Evidence

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

See the recent post “On the Spectrum” and

See also The Matthias Defense.

Sunday in the Park

Filed under: General — Tags: — m759 @ 6:56 am

Some notes suggested by recent posts now also tagged Three Days

Sporkin in 1975, according to his obituary in this morning’s print edition
of The New York Times

He reportedly died at 88 of natural causes on Monday, March 23.

Tuesday, March 24, 2020

The Amsterdam Connection

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

Some mathematics from Ghent —

Koen Thas, 'Unextendible Mututally Unbiased Bases' (2016)

Earlier, in Amsterdam . . .

First page of 'Configurations in Quantum Mechanics,' by E.M. Bruins, 1959

See as well Dirac and Geometry.

No Ordinary Venue

Filed under: General — Tags: , — m759 @ 4:24 am

See the above title in this journal.  See also the Paradiso in Amsterdam.

 

Sunday, March 22, 2020

Three Days of the Breakthrough Institute

Filed under: General — Tags: — m759 @ 7:58 pm

For the Institute itself, see a March 9 death.

Related drama — Three Days in this journal and . . .

Sermon

Filed under: General — m759 @ 11:00 am

See also, for a child of Hell’s Kitchen,  a New York Times
quote from this morning’s print edition:

A version of this article appears in print
on , Section SR, Page 6 of
the New York edition with the headline:
My Grandma on Art and Sex.” —

“Above all, she was unfailingly true to herself.”

Putting the “Arch” in Architecture:

Filed under: General — m759 @ 8:23 am

An 1132 for James Joyce —        (Click to enlarge)

Eightfold Site

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

A brief summary of the eightfold cube is now at octad.us.

Saturday, March 21, 2020

On the Spectrum

Filed under: General — Tags: — m759 @ 6:57 am

See as well The Night Clerk (2020) and The Padre.

Time Enough for Countin’

Filed under: General — m759 @ 6:22 am

Friday, March 20, 2020

Father Flynn’s Walpurgisnacht

Filed under: General — m759 @ 11:31 am

Father Flynn in this morning’s post “Hollywood Interpretation
of Quantum Mechanics” suggests a flashback to Tron: Legacy

A search for the above blogger “hilbertthm90”
yields some of his remarks from April 30, 2008
in his weblog “A Mind for Madness.” See as well
this  journal on Walpurgisnacht 2008.

Going Viral with Doctor WHO

Filed under: General — m759 @ 9:13 am

“After consulting with medical experts and receiving guidance from
the World Health Organization, CNN has determined that the term
‘Chinese virus’ is both inaccurate and considered stigmatizing.”

March 19 coronavirus news
By Jessie Yeung, Helen Regan,
Adam Renton, Emma Reynolds and
Fernando Alfonso III, CNN,
Updated 10:42 p.m. ET, March 19, 2020

The Hollywood Interpretation of Quantum Mechanics

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

Suggested by Lyndon in “Devs” (Hulu), Episode 4 —

Thursday, March 19, 2020

Class

Filed under: General — Tags: — m759 @ 11:58 pm

In memory of Stephen Schwartz, a member of
the Harvard College class of 1963 —

Synchronology check —

Spring Awakening

Filed under: General — m759 @ 11:11 pm

In memory of a University of Washington pathologist
who reportedly died on Tuesday, March 17 —

Cezanne’s Greetings.

See as well . . .

Wednesday, March 18, 2020

Arch vs. Pyramid

Filed under: General — m759 @ 10:08 am

This morning’s online New York Times  has news of Glastonbury:

Glastonbury Woo in this  journal features the arch, not the pyramid.

Tuesday, March 17, 2020

Geometric Theology

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

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.

 

Monday, March 16, 2020

Principles Before Personalities

Filed under: General — m759 @ 10:23 am

For some personalities , see the previous post.

Mysteries

Filed under: General — m759 @ 10:02 am

The Lindbergh Plot

Filed under: General — m759 @ 9:30 am

Philip Roth's 2004 paranoid classic premieres on TV tonight.

I prefer an alternative Lindbergh plot. See Peter  Lindbergh in this  journal.

At right below, a work of art that the fashion photographer  Lindbergh
made when he was young and known as "Sultan."

Models and Monuments

Filed under: General — m759 @ 9:00 am

". . . recognizing the bias in your models
and sharing it with clients, users, and engineers
is monumental . . . ."

Made Lapuerta, Sept. 23, 2019, on AI 

"Is this an obelisk I see before me?"

— m759, from a Log24 search for Obelisk

Mathematics and Narrative* Continues:

Filed under: General — Tags: — m759 @ 1:27 am

Expanding the Spielraum

Mathematics:  See Tetrahedron vs. Square in this journal
(Notes on two different models of schoolgirl space ).

Narrative:  Replacing the square  from the above posts by
a related cube 

… yields a merchandising inspiration

Dueling Holocrons: 

Jedi Cube vs. Sith Tetrahedron

.

* See also earlier posts on Mathematics and Narrative.

Sunday, March 15, 2020

The “Octad Group”

Filed under: General — Tags: , , , , — m759 @ 4:17 pm

The phrase “octad group” discussed here in a post
of March 7 is now a domain name, “octad.group,”
that leads to that post. Remarks by Conway and
Sloane now quoted there indicate how the group
that I defined in 1979 is embedded in the large
Mathieu group M24.

Related literary notes — Watson + Embedding.

Moriarty Songs

Filed under: General — m759 @ 2:09 pm

In memory of mathematician Richard K. Guy
and of songwriter Eric Taylor
who each reportedly died on March 9.

For Guy, some small numbers:

The image “http://www.log24.com/log/pix06/060407-Heaven.gif” cannot be displayed, because it contains errors.

For Taylor, a link to the lyrics of his song "Dean Moriarty."

See as well this journal on March 9.

(More backstory — Posts on Nanci Griffith.)

Saturday, March 14, 2020

Compare and Contrast.

Filed under: General — Tags: , , , — m759 @ 9:38 pm

 

Logos —

 

 

See also Devs .

Richard K. Guy Has Died at 103.

Filed under: General — m759 @ 8:30 am

Related material in this  journal — Posts tagged Berlekamp's Game.

News for Josefine Lyche

Filed under: General — m759 @ 7:37 am

Artnet.com yesterday on "previously unsung or undersung
female artists working in esoteric or occult traditions" —

Possession

Filed under: General — Tags: , — m759 @ 7:09 am

Detail of Box Style I Ching: Hexagram 14.

Click the above image for details.

There was, however, a challenge by Cozzens himself:

Cozzens replies to Macdonald, March 1958

The apparent source:

 

Friday, March 13, 2020

Missa Brevis

Filed under: General — Tags: , , — m759 @ 9:19 pm

In memory of a composer who reportedly died on Wednesday,
March 11, 2020 —

From a   synchronology  check

Epigraph

Filed under: General — m759 @ 6:35 pm

Phrase from an epigraph by F. Scott Fitzgerald:

"If you can bounce…."

Foundation

Filed under: General — m759 @ 6:42 am

Jack Bruce reportedly died on October 25, 2014.

Thursday, March 12, 2020

Letter to the World

Filed under: General — Tags: , — m759 @ 10:00 pm

Pace  Emily Dickinson.

Play Date

Filed under: General — Tags: , , , — m759 @ 7:15 pm

Today's 4:02 AM ET post, "Steinfeld as Rose the Hat,"
suggests a review —

A more impressive woman in white

Update of 8 PM ET —

Beckinsale gives Oct. 5, 2001, as the date of the New York
premiere of the film "Serendipity."  Synchronology check:

Beckinsale's premiere date — Oct. 5, 2001 — is incorrect.
The film was released  on that date, but its New York premiere
was actually on Oct. 3, 2001. See Getty Images.

Bee Season

Filed under: General — Tags: — m759 @ 6:23 am

See the 2005 post Structure and a Log24 search for Bumblebee.

Steinfeld as Rose the Hat

Filed under: General — Tags: — m759 @ 4:02 am

Above, Hailee Steinfeld in a fanciful portrayal
of poet Emily Dickinson.

"Wakey, Wakey!" — Doctor Sleep

Language Games: Reflection

Filed under: General — Tags: — m759 @ 3:20 am

The conclusion of an elegy for George Steiner 
in th Times Literary Supplement  issue dated
March 13, 2020 —

"What distinguishes humans from other animals, Johann Gottfried Herder
suggested in his essay On the Origin of Language (1772), is not so much
their capacity for language as their capacity for arriving at general reflection
(Besonnenheit ) through language. Few thinkers of the postwar era can be
said to have pursued this reflection with as much range and rigour as George
Steiner.

Ben Hutchinson is Professor of European Literature at the University of Kent
and Director of the Paris School of Arts and Culture. His most recent book is 

Comparative Literature: A very short introduction, 2018 ."

See as well . . .

Wednesday, March 11, 2020

Hunger Game for a “Pop Culture Star”

Filed under: General — Tags: , , — m759 @ 9:46 pm

"A hunger to be more serious"

Arts & Letters Daily  on the late
    George Steiner, who reportedly
    died on February 3, 2020

The New York Times  on a Sunday death —

A Midrash —

Serious —

Elegy for a Language Animal

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

Visualizing Mathieu Group Generators

Filed under: General — Tags: — m759 @ 6:23 am

Marston Conder's M24 generators are illustrated by Cullinane's diamond-theorem (2x2 case) figures.

Update of March 17, 2020 —

The graphic images illustrate nicely Conder's six 4-cycles, but
their relationship, if any, to his eight 2-cycles is a mystery —

The Conder paper is at 
https://core.ac.uk/download/pdf/82622574.pdf.

 
 

Tuesday, March 10, 2020

Labeling a Cuboctahedron

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

The above arrangement of graphic images on  cube faces is purely
decorative and static, and of  little mathematical interest.

(A less static, but structurally chaotic, artifact might be made by
pasting the above 24 graphic images in the "Cosets in S4" picture
above onto the 24 faces of a 2x2x2 Rubik cube. This suggests the
reflection below on the poet Wallace Stevens, whose "Connoisseur
of Chaos" first appeared on page 90 of Twentieth Century Verse ,
Numbers 12-13, October 1938.)

If mathematically interesting  permutations of the graphic images
are to be done, the images should be imagined as situated on
parallel  planes, as in the permutahedron below —

IMAGE- 'Permutahedron of Opposites'-- 24 graphic patterns arranged in space as 12 pairs of opposites

Click the above permutahedron for an analysis of its structure.

Monday, March 9, 2020

“Archimedes at Hiroshima” Continues.

Filed under: General — Tags: , , , — m759 @ 7:34 pm

The title is from a post of January 10, 2019.

A figure from this journal on June 1, 2019

The following figure may help relate labelings of the
truncated octahedron ("permutahedron") to labelings
of its fellow Archimedean solid, the cuboctahedron.

See as well other posts tagged Aitchison.

 
 

Max von Sydow

Filed under: General — Tags: , — m759 @ 9:08 am

The Bucharest Wheel

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

From the Bucharest author in last night's 12:12 AM post

From this  journal on the above date, Feb. 16, 2011 —

The Bucharest Cross

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

For fans of "The Zero Theorem" —

The 24 permutations of S4 arranged on a cube
by Cristi Stoica of Bucharest at
http://www.unitaryflow.com/2009/06/polyhedra-and-groups.html:

Sunday, March 8, 2020

A Tool

Filed under: General — Tags: — m759 @ 2:23 pm

Detail: 

Click on the above date for further details.

Joyce and Einstein on the Beach

Filed under: General — m759 @ 12:49 am

"Hello! Kinch here. Put me on to Edenville.
Aleph, alpha: nought, nought, one." 

"A very short space of time through very short times of space….
Am I walking into eternity along Sandymount strand?"

— James Joyce, Ulysses , Proteus chapter

See also the previous post and Masks of the Illuminati .

Saturday, March 7, 2020

The “Octad Group” as Symmetries of the 4×4 Square

From "Mathieu Moonshine and Symmetry Surfing" —

(Submitted on 29 Sep 2016, last revised 22 Jan 2018)
by Matthias R. Gaberdiel (1), Christoph A. Keller (2),
and Hynek Paul (1)

(1)  Institute for Theoretical Physics, ETH Zurich
(2)  Department of Mathematics, ETH Zurich

https://arxiv.org/abs/1609.09302v2 —

"This presentation of the symmetry groups Gi  is
particularly well-adapted for the symmetry surfing
philosophy. In particular it is straightforward to
combine them into an overarching symmetry group G
by combining all the generators. The resulting group is
the so-called octad group

G = (Z2)4  A8 .

It can be described as a maximal subgroup of M24
obtained by the setwise stabilizer of a particular
'reference octad' in the Golay code, which we take
to be O= {3,5,6,9,15,19,23,24} ∈ 𝒢24. The octad
subgroup is of order 322560, and its index in M24
is 759, which is precisely the number of
different reference octads one can choose."

This "octad group" is in fact the symmetry group of the affine 4-space over GF(2),
so described in 1979 in connection not with the Golay code but with the geometry
of the 4×4 square.* Its nature as an affine group acting on the Golay code was
known long before 1979, but its description as an affine group acting on
the 4×4 square may first have been published in connection with the
Cullinane diamond theorem and Abstract 79T-A37, "Symmetry invariance in a
diamond ring
," by Steven H. Cullinane in Notices of the American Mathematical
Society
, February 1979, pages A-193, 194.

* The Galois tesseract .

Update of March 15, 2020 —

Conway and Sloane on the "octad group" in 1993 —

Thursday, March 5, 2020

“Generated by Reflections”

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

See the title in this journal.

Such generation occurs both in Euclidean space 

Order-8 group generated by reflections in midplanes of cube parallel to faces

… and in some Galois spaces —

Generating permutations for the Klein simple group of order 168 acting on the eightfold cube .

In Galois spaces, some care must be taken in defining "reflection."

Architect

Filed under: General — Tags: , — m759 @ 10:56 am
Suggested by the previous post:

"Garland is an architect of
        complicated stories 
        and actual spaces."

Adam Rogers, 7 AM March 4th, 2020,
https://www.wired.com/story/
inside-devs-dreamy-silicon-valley-quantum-thriller/
.

See also The Reality Blocks.

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