Log24

Sunday, October 6, 2024

Old Schools

Filed under: General — Tags: , — m759 @ 3:47 pm

From Dan Brown

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

From one of my  old schools —

From Milton —

Before thir eyes in sudden view appear
The secrets of the hoarie deep, a dark
Illimitable Ocean without bound,
Without dimension, where length, breadth, and highth,
And time and place are lost; where eldest Night
And Chaos, Ancestors of Nature, hold
Eternal Anarchie, amidst the noise
Of endless warrs and by confusion stand.
For hot, cold, moist, and dry, four Champions fierce
Strive here for Maistrie, and to Battel bring amidst the noise
Thir embryon Atoms....
                                ... Into this wilde Abyss,
The Womb of nature and perhaps her Grave,
Of neither Sea, nor Shore, nor Air, nor Fire,
But all these in thir pregnant causes mixt
Confus'dly, and which thus must ever fight,
Unless th' Almighty Maker them ordain
His dark materials to create more Worlds,
Into this wilde Abyss the warie fiend
Stood on the brink of Hell and look'd a while,
Pondering his Voyage....

-- John Milton, Paradise Lost , Book II

Saturday, June 3, 2023

Gesamtkunstwerk for Wagner

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

In memory of set designer Robin Wagner, winner of three
Tony awards, who reportedly died at 89 on May 29 —

From Log24 on May 29
and the preceding day —

"When the men on the chessboard
get up and tell you where to go . . . ."

Don't take the Brown acid!

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Sunday, May 28, 2023

Breadcrumbs for Gretel . . .

Tags:  — m759 @ 3:47 PM 

Continues .

See as well Chess Set and Efficient Packing.

Monday, May 29, 2023

Mashup

Filed under: General — Tags: , , , — m759 @ 3:21 am

"When the men on the chessboard
get up and tell you where to go . . . ."

Don't take the Brown acid!

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Saturday, March 12, 2022

Logos and Branding

Filed under: General — Tags: — m759 @ 10:05 am

The "branding" part of this post's title and tag —

The scene went from bad to worse. The camerlengo’s torn cassock, having been only laid over his chest by Chartrand, began to slip lower. For a moment, Langdon thought the garment might hold, but that moment passed. The cassock let go, sliding off his shoulders down around his waist.

The gasp that went up from the crowd seemed to travel around the globe and back in an instant. Cameras rolled, flashbulbs exploded. On media screens everywhere, the image of the camerlengo’s branded chest was projected, towering and in grisly detail. Some screens were even freezing the image and rotating it 180 degrees.

The ultimate Illuminati victory.

Langdon stared at the brand on the screens. Although it was the imprint of the square brand he had held earlier, the symbol now  made sense. Perfect sense. The marking’s awesome power hit Langdon like a train.

Orientation. Langdon had forgotten the first rule of symbology. When is a square not a square?  He had also forgotten that iron brands, just like rubber stamps, never looked like their imprints. They were in reverse. Langdon had been looking at the brand’s negative !

As the chaos grew, an old Illuminati quote echoed with new meaning: ‘A flawless diamond, born of the ancient elements with such perfection that all those who saw it could only stare in wonder.’

Langdon knew now the myth was true.

Earth, Air, Fire, Water.

The Illuminati Diamond.

— Dan Brown, Angels & Demons

I prefer Modal Nietzsche.

Geometric Theology: Logos vs. Antilogos

Filed under: General — Tags: , — m759 @ 1:54 am

In a 1999 Yale doctoral dissertation,

"Diabolical Structures in the Poetics of Nikolai Gogol,"

the term "antilogos" occurs 70 times.

Students of poetic structures may compare and contrast . . .

Logos

Antilogos

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Thursday, September 16, 2021

Narrative* vs. Mathematics**

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

Examples of Narrative:

Example of Mathematics:

From the month — November 1985 — in the second example above —

* Addicts of narrative might consult "Friends of Nemo."

** See Mathematics + Narrative in this journal and . . .

"As the chaos grew . . . ." —

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Monday, July 15, 2019

Arche’s Schoolgirl Space

Filed under: General — Tags: — m759 @ 2:30 pm

  

From Dan Brown's novel Angels & Demons  (2000)—

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Monday, May 13, 2019

Doris Day at the Hudson Rock

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

" 'My public image is unshakably that of
America’s wholesome virgin, the girl next door,
carefree and brimming with happiness,' 
she said in Doris Day: Her Own Story
a 1976 book . . . ."

From "Angels & Demons Meet Hudson Hawk" (March 19, 2013) —

From the March 1 post "Solomon and the Image," a related figure —

Friday, March 15, 2019

Trinity vs. Illuminati

Filed under: General — m759 @ 2:08 pm

Trinity Song —

"For ten years we've been on our own . . . ."

See as well a post of ten years ago:  Angels, Demons, "Symbology"

Illuminati Song —

"Far from the shallow now."

Friday, December 7, 2018

The Angel Particle

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

https://newatlas.com/angel-particle-own-antiparticle/50579/

Scientists discover "angel particle"
that is its own antiparticle

Michael Irving
July 21st, 2017

. . . .

"Our team predicted exactly where to find the Majorana fermion and what to look for as its 'smoking gun' experimental signature," says Shoucheng Zhang, one of the senior authors of the research paper. "This discovery concludes one of the most intensive searches in fundamental physics, which spanned exactly 80 years."

. . . .

Zhang proposes that the team's discovery be named the "angel particle" after the Dan Brown novel Angels and Demons , which features a bomb powered by the meeting of matter and antimatter. In the long run, Majoranas could find practical application in making quantum computers more secure.

The research was published in the journal Science  . . . .

See as well Stanford News  yesterday  —

Shoucheng Zhang died on Dec. 1. He was 55. 

Zhang’s death was unexpected and followed
a “battle with depression,” according to his family. 

Sunday, April 29, 2018

Sunday School

Filed under: General — m759 @ 9:00 am

From a search in this journal for Desmic 

"As the chaos grew . . . ."

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

"We have, in fact, the corners of a cube . . . ."

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

Tuesday, September 29, 2015

Quotes for Michaelmas

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

A search in this journal for material related to the previous post
on theta characteristics yields

"The Solomon Key  is the working title of an unreleased
novel in progress by American author Dan Brown. 
The Solomon Key  will be the third book involving the
character of the Harvard professor Robert Langdon,
of which the first two were Angels & Demons  (2000) and 
The Da Vinci Code  (2003)." — Wikipedia

"One has O+(6) ≅ S8, the symmetric group of order 8! …."
 — "Siegel Modular Forms and Finite Symplectic Groups,"
by Francesco Dalla Piazza and Bert van Geemen, 
May 5, 2008, preprint.

"It was only in retrospect
that the silliness
became profound."

— Review of   
Faust in Copenhagen

"The page numbers
are generally reliable."

— Michaelmas 2007 

For further backstory, click the above link "May 5, 2008," 
which now leads to all posts tagged on080505

Friday, December 5, 2014

Wittgenstein’s Picture

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

From Zettel  (repunctuated for clarity):

249. « Nichts leichter, als sich einen 4-dimensionalen Würfel
vorstellen! Er schaut so aus… »

"Nothing easier than to imagine a 4-dimensional cube!
It looks like this… 

[Here the editor supplied a picture of a 4-dimensional cube
that was omitted by Wittgenstein in the original.]

« Aber das meine ich nicht, ich meine etwas wie…

"But I don't mean that, I mean something like…

…nur mit 4 Ausdehnungen! » 

but with four dimensions!

« Aber das ist nicht, was ich dir gezeigt habe,
eben etwas wie…

"But isn't  what I showed you like

…nur mit 4 Ausdehnungen? » 

…only with four dimensions?"

« Nein; das meine  ich nicht! » 

"No, I don't mean  that!"

« Was aber meine ich? Was ist mein Bild?
Nun der 4-dimensionale Würfel, wie du ihn gezeichnet hast,
ist es nicht ! Ich habe jetzt als Bild nur die Worte  und
die Ablehnung alles dessen, was du mir zeigen kanst. »

"But what do I mean? What is my picture?
Well, it is not  the four-dimensional cube
as you drew it. I have now for a picture only
the words  and my rejection of anything
you can show me."

"Here's your damn Bild , Ludwig —"

Context: The Galois Tesseract.

Thursday, December 4, 2014

Followup for Josefine

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

The title refers to the previous post, "Follow This."

Dialogue from "Night at the Museum 3"—

"He's not in charge, we're just following him."
"That's what being in charge means ." 

See also Smoke and Mirrors and Angels & Demons.

From Lie Groups for Holy Week :

Stellan Skarsgaard as the head of Vatican Security —

Great line reading in 'Angels and Demons'- 'The God PARTICLE?'

Wednesday, October 1, 2014

Mathematics for Tromsø

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

Loren Olson, Harvard ’64, a professor of mathematics
at Norway’s Tromsø University,* died June 22, 2014.

In his memory, a search in this journal for Lie Group.

That search yields a post titled Lie Groups for Holy Week (March 30, 2010).

A quotation related to that post:

* The city of Tromsø hosted some art related to group theory in 2010.
Neither that art nor my own related remarks on group theory are very
relevant to physics (yet).

Tuesday, September 9, 2014

In Memoriam

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

For Loren D. Olson, Harvard '64:

"Even 50 years later, I remember his enthusiasm for a very young
and very gifted Harvard professor named Shlomo Sternberg, one
of whose special areas of interest was Lie groups. I still have no real
understanding of what a Lie group is, but not for want of trying on
Loren’s part. Loren was also quite interested in the thinking of the
theologians Paul Tillich and Reinhold Niebuhr, who were then at
Harvard. He attended some of their lectures, read several of their
books, and enjoyed discussing their ideas."

Harvard classmate David Jackson

See also today's previous post.

Wednesday, October 2, 2013

Post-Production

Filed under: General — m759 @ 9:07 am

Click the above for some music and literary-philosophical remarks.

Related material: This journal on February 3 and 4, 2010.

Tuesday, March 19, 2013

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: , , — m759 @ 10:18 am

Angels & Demons meet Hudson Hawk

Dan Brown's four-elements diamond in Angels & Demons :

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

The Leonardo Crystal from Hudson Hawk :

Hudson:

Mathematics may be used to relate (very loosely)
Dan Brown's fanciful diamond figure to the fanciful
Leonardo Crystal from Hudson Hawk 

"Giving himself a head rub, Hawk bears down on
the three oddly malleable objects. He TANGLES 
and BENDS and with a loud SNAP, puts them together,
forming the Crystal from the opening scene."

— A screenplay of Hudson Hawk

Happy birthday to Bruce Willis.

Wednesday, March 6, 2013

Final Club

Filed under: General — m759 @ 8:00 am

For Robert Langdon  (Angels & Demons )

See Final Club (Wikipedia) and Kiss Club (this journal).

Monday, January 28, 2013

Encounter

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

"Sometime in 1638, John Milton visited Galileo Galilei in Florence. The great astronomer was old and blind and under house arrest, confined by order of the Inquisition, which had forced him to recant his belief that the earth revolves around the sun, as formulated in his 'Dialogue Concerning the Two Chief World Systems.' Milton was thirty years old—his own blindness, his own arrest, and his own cosmological epic, 'Paradise Lost,' all lay before him….

Beyond the sheer pleasure of picturing the encounter— it’s like those comic-book specials in which Superman meets Batman— there’s something strange about imagining these two figures inhabiting the same age. Though Milton was the much younger man, in some ways his world system seems curiously older than the astronomer’s empirical universe."

Jonathan Rosen, The New Yorker , June 2, 2008, "Return to Paradise"

More in the spirit of Superman and Batman:

    "Huh. You know what? Galileo didn't even write this."
    "What!"
    "The poem is signed John Milton."
    "John Milton ?" The influential English poet who wrote
Paradise Lost  was a contemporary of Galileo's and a
savant who conspiracy buffs put at the top of their list
of Illuminati suspects. Milton's alleged affiliation with
Galileo's Illuminati was one legend Langdon
suspected was true. Not only had Milton made a
well documented 1638 pilgrimage to Rome to
"commune with enlightened men," but he had held
meetings with Galileo during the scientist's house
arrest, meetings portrayed in many Renaissance
paintings….
    "Milton knew Galileo, didn't he?" Vittoria said, finally
pushing the folio over to Langdon. "Maybe he wrote
the poem as a favor?"

Angels & Demons  , by Dan Brown
     (first published in 2000)

See also this journal on August 16, 2009.

Addendum for Aaron Swartz (see today's previous post)—

"The Vatican, it seemed, took their archives
a bit more seriously than most." — Dan Brown

Thursday, July 5, 2012

Claves Regni Caelorum

Filed under: General,Geometry — Tags: , — m759 @ 3:33 am

Or: Night of Lunacy

From 9 PM Monday

IMAGE- Page 304 of Heidegger's 'Existence and Being' - Heidegger's essay 'Hölderlin and the Essence of Poetry,' tr. by Douglas Scott, publ. by Henry Regnery Company, Chicago, in 1949
Note that the last line, together with the page number, forms
a sort of key

The rest  of the story—

IMAGE- Heidegger quote continued, ending with reference to Hölderlin's 'night of lunacy'

For one reinterpretation of the page number 304, see a link— 
Sermon— from Tuesday's post Diamond Speech.

The linked-to sermon itself has a link, based on a rereading
of 304 as 3/04, to a post of March 4, 2004, with…

WW and ZZ

as rendered by figures from the Kaleidoscope Puzzle

     .

Yesterday morning the same letter-combinations occurred
in a presentation at CERN of a newly discovered particle—

IMAGE- 'High mass: WW, ZZ'

(Click for context.)

Since the particle under discussion may turn out to be the
God  particle, it seems fitting to interpret WW and ZZ as part
of an imagined requiem  High Mass.

Ron Howard, director of a film about CERN and the God particle,
may regard this imaginary Mass as performed for the late
Andy Griffith, who played Howard's father in a television series.

Others may prefer to regard the imaginary Mass as performed 
for the late John E. Brooks, S. J., who served as president of
The College of the Holy Cross, Worcester, Mass., for 24 years.

Griffith died Tuesday. Brooks died Monday.

For some background on the Holy Cross, see posts of
Sept. 14 (Holy Cross Day) and Sept. 15, 2010—

  1. Language Game,
  2. Wittgenstein, 1935, and
  3. Holy Cross Day Revisited.

For more lunacy, see…

Continue a search for thirty-three and three
— Katherine Neville, The Eight

Monday, September 5, 2011

Illuminata*

Filed under: General — m759 @ 11:30 am

At Heaven’s Gate

Sunday, Sept. 4, 2011, RSS at 23:59 EDT:
Peter Woit's weblog Not Even Wrong

"Lisa Randall’s new book is about to come out, it’s entitled
Knocking on Heaven’s Door: How Physics and Scientific Thinking
Illuminate the Universe and the Modern World
."

Angels & Demons  (the film)—

As she enters the lab she reacts in horror
as she sees an eyeball lying on the floor…

Click images for some backstory

http://www.log24.com/log/pix10A/100517-NYT-Stone.jpg

http://www.log24.com/log/pix11B/110905-LisaRandall-EdgeDinner2009.jpg

Woit on Randall

"She has taken on the role of a public face of physics,
 and has written a book which is in part a very general defense
 of science and the materialist, rationalist world-view
 that modern science is based on."

See also yesterday's "The Stone" column in The New York Times

"What Is Naturalism?"

I prefer philosophy enacted by Reba.

* A reference to Dan Brown, not Marianne Williamson

Monday, January 31, 2011

Darkness at Noon

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

In today's Wall Street Journal , Peter Woit reviews a new book on dark matter and dark energy.

For a more literary approach, see "dark materials" in this  journal.

Before thir eyes in sudden view appear
The secrets of the hoarie deep, a dark
Illimitable Ocean without bound,
Without dimension, where length, breadth, and highth,
And time and place are lost; where eldest Night
And Chaos, Ancestors of Nature, hold
Eternal Anarchie, amidst the noise
Of endless warrs and by confusion stand.
For hot, cold, moist, and dry, four Champions fierce
Strive here for Maistrie, and to Battel bring amidst the noise
Thir embryon Atoms....
                                ... Into this wilde Abyss,
The Womb of nature and perhaps her Grave,
Of neither Sea, nor Shore, nor Air, nor Fire,
But all these in thir pregnant causes mixt
Confus'dly, and which thus must ever fight,
Unless th' Almighty Maker them ordain
His dark materials to create more Worlds,
Into this wilde Abyss the warie fiend
Stood on the brink of Hell and look'd a while,
Pondering his Voyage....

-- John Milton, Paradise Lost , Book II

Related material:

1. The “spider” symbol of Fritz Leiber’s short story “Damnation Morning”—

2. Angels and demons here and in the Catholic Church.

3. The following diagram by one “John Opsopaus”—

http://www.log24.com/log/pix09/090312-OpsopausSquare.jpg

Tuesday, October 19, 2010

Savage Logic…

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

and the New York Lottery

IMAGE-- NY Lottery Oct. 18, 2010-- Midday 069, Evening 359

A search in this journal for yesterday's evening number in the New York Lottery, 359, leads to…

The Cerebral Savage: 
On the Work of Claude Lévi-Strauss

by Clifford Geertz

Shown below is 359, the final page of Chapter 13 in
The Interpretation of Cultures: Selected Essays by Clifford Geertz,
New York, 1973: Basic Books, pp. 345-359 —

http://www.log24.com/log/pix10B/101019-Geertz359.gif

This page number 359 also appears in this journal in an excerpt from Dan Brown's novel Angels & Demons

See this journal's entries for March 1-15, 2009, especially…

Sunday, March 15, 2009  5:24 PM

Philosophy and Poetry:

The Origin of Change

A note on the figure
from this morning's sermon:

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

"Two things of opposite natures seem to depend
On one another, as a man depends
On a woman, day on night, the imagined

On the real. This is the origin of change.
Winter and spring, cold copulars, embrace
And forth the particulars of rapture come."

-- Wallace Stevens,
  "Notes Toward a Supreme Fiction,"
   Canto IV of "It Must Change"

Sunday, March 15, 2009  11:00 AM

Ides of March Sermon:

Angels, Demons,
"Symbology"

"On Monday morning, 9 March, after visiting the Mayor of Rome and the Municipal Council on the Capitoline Hill, the Holy Father spoke to the Romans who gathered in the square outside the Senatorial Palace…

'… a verse by Ovid, the great Latin poet, springs to mind. In one of his elegies he encouraged the Romans of his time with these words:

"Perfer et obdura: multo graviora tulisti."

 "Hold out and persist:
  you have got through
  far more difficult situations."

 (Tristia, Liber  V, Elegia  XI, verse 7).'"
 

This journal
on 9 March:

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

Note the color-interchange
symmetry
of each symbol
under 180-degree rotation.

Related material:
The Illuminati Diamond:

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

The symmetry of the yin-yang symbol, of the diamond-theorem symbol, and of Brown's Illuminati Diamond is also apparent in yesterday's midday New York lottery number (see above).

"Savage logic works like a kaleidoscope…." — Clifford Geertz on Lévi-Strauss

Wednesday, July 21, 2010

Dream Names continued

Filed under: General — m759 @ 6:29 pm

From the 7/20 Harvard Crimson

"The scholarly expeditions undertaken by modern-day explorer and Harvard Foundation Director S. Allen Counter will be featured in a biopic produced by actor Will Smith.

…. Debbie Allen is also producing the film, and Farhad Safinia will be penning the script, Variety  magazine reported.

…. Counter said that Debbie Allen described his character as 'a mixture of Indiana Jones and Robert Langdon,' the fictional Harvard professor of symbology in Dan Brown’s novels."

Farhad Safinia is co-writer and co-producer, with Mel Gibson, of "Apocalypto."

From "The Envelope: The Awards Insider" at the LA Times, a review of the film based on Dan Brown's "Angels & Demons"—

"The script tips its hand too early, and can't quite turn Langdon into Indiana Langdon on his Last Crusade."

—  , Orlando Sentinel  movie critic, May 15, 2009

Related material:

The Robert Jones Code

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

(Click for video.)

Thursday, July 1, 2010

Plato’s Code

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

John Allen Paulos yesterday at Twitter

"Plato's code cracked? http://bit.ly/ad6k1S
Fascinating if not a hoax or hype."

The story that Paulos linked to is about a British
academic who claims to have found some
symbolism hidden in Plato's writings by
splitting each into 12 parts and correlating
the 12 parts with semitones of a musical scale.

I prefer a different approach to Plato that is
related to the following hoax and hype—

HOAX:

From Dan Brown's novel Angels & Demons  (2000)

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

HYPE:

Image-- From 'Alchemy,' by Holmyard, the diamond of Aristotle's 4 elements and 4 qualities

This  four-elements diamond summarizes the classical
four elements and four qualities neatly, but some scholars
might call the figure "hype" since it deals with an academically
disreputable subject, alchemy, and since its origin is unclear.

For the four elements' role in some literature more respectable
than Dan Brown's, see Poetry's Bones.

Although an author like Brown might spin the remarks
below into a narrative—  The Plato Code — they are
neither  hoax nor hype.

NOT  HOAX:

Image-- From the Diamond in Plato's Meno to Modern Finite Geometry

NOT  HYPE:

http://www.log24.com/log/pix10A/100626-CrossOnSocratesSm.gif

For related non-hoax, non-hype remarks, see
The Rational Enterprise: Logos in Plato's Theaetetus,
by Rosemary Desjardins.

Those who prefer  hoax and hype in their philosophy may consult
the writings of, say, Barbara Johnson, Rosalind Krauss, and—
in yesterday's NY Times's  "The Stone" columnNancy Bauer.

Image-- The Philosophers' Stone according to The New York Times

— The New York Times

Tuesday, March 30, 2010

Lie Groups for Holy Week

Filed under: General,Geometry — Tags: — m759 @ 1:01 pm

Great line reading in 'Angels and Demons'- 'The God PARTICLE?'

Deep Down Things: The Breathtaking Beauty of Particle Physics, by Bruce A. Schumm, Johns Hopkins University Press, hardcover, Oct. 20, 2004, pp. 94-95–

"In the early 1960s, a physicist at the California Institute of Technology by the name of Murray Gell-Mann interpreted the patterns observed in the emerging array of elementary particles as being due to a symmetry….

Gell-Mann's eightfold way was perhaps the first conscious application of the results of the pure mathematical field of group theory and, in particular, the theory of 'Lie groups,' to a problem in physics."

From the preface–

"I didn't come up with the title for this book. For that, I can thank the people at the Johns Hopkins University Press…. my only reservation about the title is that… it implies a degree of literacy to which I can't lay claim."

Amen.

Remedial reading for those who might have fallen for Schumm's damned nonsense–

 "Quantum Mechanics and Group Theory I," by Dallas C. Kennedy

Group Theory and Physics, by Shlomo Sternberg

Monday, March 15, 2010

But Seriously…

Filed under: General,Geometry — m759 @ 4:00 pm

Kugelbild

"You are retracing your steps."
— Jacques Derrida

http://www.log24.com/log/pix10/100315-SphereAngels.jpg

www.yourmuseumstore.com

See also today's update (scroll down)
to Half-Circle Patterns as well as
Angels and Demons and Symbology.

Sunday, March 7, 2010

For Oscar Morning

Filed under: General — m759 @ 9:00 am

Meanwhile, back at the AMS–

Ready for His Closeup

American Mathematical Society home page March 7, 2010, starring Ron Howard

Closeup–

Ron Howard discusses videos promoting science literacy

For instance…

Tom Hanks in 'Angels & Demons' on the God particle

"You're talking about…
the moment of creation!"

See also
Rebecca Goldstein
and the Number 36

Thursday, January 21, 2010

Darkness at Noon

Filed under: General — m759 @ 12:00 pm

A NY Times review dated Jan. 20 has the headline

Trying to Paint the Deity by Numbers
Against a Backdrop of Jewish Culture

By JANET MASLIN

"…this novel’s bracing intellectual energy never flags. Though it is finally more a work of showmanship than scholarship, it affirms Ms. Goldstein’s position as a satirist…."

The title of the book under review is
36 Arguments for the
Existence of God: A Work of Fiction
.

Related "by the numbers" material–

From the I Ching, commentaries on the lines of Hexagram 36–

"Here the Lord of Light is in a subordinate place and is wounded by the Lord of Darkness…."

"The dark power at first held so high a place that it could wound all who were on the side of good and of the light. But in the end it perishes of its own darkness, for evil must itself fall at the very moment when it has wholly overcome the good, and thus consumed the energy to which it owed its duration."

http://www.log24.com/log/pix10/100121-IChing36.jpg


The Times review
of 36 Arguments notes that the book's chapters of fiction number 36, as do the 36 philosophical arguments in the book's title and appendix.

The reviewer– "So much for structure. It is not Ms. Goldstein’s strong suit…."

Some structure related to the above occurrence of 36 in the I Ching

http://www.log24.com/log/pix10/100121-Trigrams.jpg

Another example of eightfold symmetry:

http://www.log24.com/log/pix10/100121-LHCsm.jpg

The Large Hadron Collider

See also Angels & Demons in
Hollywood and in this journal.

Tuesday, July 14, 2009

Tuesday July 14, 2009

Filed under: General,Geometry — m759 @ 8:00 am
For Galois on Bastille Day
 
Elements
of Finite Geometry


Some fans of the alchemy in
Katherine Neville’s novel
The Eight and in Dan Brown’s
   novel Angels & Demons may
  enjoy the following analogy–

http://www.log24.com/log/pix09A/090714-Lattices.jpg

Note that the alchemical structure
at left, suited more to narrative
than to mathematics, nevertheless
 is mirrored within the pure
mathematics at right.

Related material
on Galois and geometry:

Geometries of the group PSL(2, 11)

by Francis Buekenhout, Philippe Cara, and Koen Vanmeerbeek. Geom. Dedicata, 83 (1-3): 169–206, 2000–

http://www.log24.com/log/pix09A/090714-Intro.jpg

Wednesday, June 3, 2009

Wednesday June 3, 2009

Filed under: General,Geometry — Tags: — m759 @ 4:00 am
Epigraphs
to Four Quartets:

Epigraphs to Eliot's 'Four Quartets'-- Heraclitus on the common logos and on the way up and the way down


The Dissertations of Maximus Tyrius, translated from the Greek by Thomas Taylor, printed by C. Whittingham, London, for the translator, 1804, Vol. II, p. 55:

"You see the mutation of bodies, and the transition of generation, a path upwards and downwards according to Heraclitus; and again, as he says, one thing living the death, but dying the life of another. Thus fire lives the death of earth, and air lives the death of fire; water lives the death of air, and earth lives the death of water. You see a succession of life, and a mutation of bodies, both of which are the renovation of the whole."

Eight-rayed star of Venus (also the symmetry axes of the square)

 

For an interpretation
of the above figure
in terms of the classical
four elements discussed
in Four Quartets,
in Dissertations, and
in Angels & Demons,
see
Notes on Mathematics
 and Narrative.

For a more entertaining
interpretation, see Fritz Leiber's
classic story "Damnation Morning."

Friday, May 22, 2009

Friday May 22, 2009

Filed under: General,Geometry — Tags: , — m759 @ 9:29 am
Steiner System

New York Times
banner this morning:

NYT banner, 9:21 AM Friday, May 22, 2009-- Ears are ads for HSBC.

Click to enlarge.

Related material from
July 11, 2008:

HSBC logo with framed version

The HSBC Logo Designer —

Henry Steiner

Henry Steiner, designerHe is an internationally recognized corporate identity consultant. Based in Hong Kong, his work for clients such as HongkongBank, IBM and Unilever is a major influence in Pacific Rim design.

Born in Austria and raised in New York, Steiner was educated at Yale under Paul Rand and attended the Sorbonne as a Fulbright Fellow. He is a past President of Alliance Graphique Internationale. Other professional affiliations include the American Institute of Graphic Arts, Chartered Society of Designers, Design Austria, and the New York Art Directors' Club.

His Cross-Cultural Design: Communicating in the Global Marketplace was published by Thames and Hudson (1995).

Yaneff.com

 

Charles Taylor,
"Epiphanies of Modernism,"
Chapter 24 of Sources of the Self
  (Cambridge U. Press, 1989, p. 477):

 

"… the object sets up
 a kind of frame or space or field
   within which there can be epiphany."

 

Related material suggested by
an ad last night on
ABC's Ugly Betty season finale:

Poster for 'Diamonds' miniseries on ABC starting May 24, 2009

Credit for 'Diamonds' miniseries poster: Diane Robertson Design, London

Diamond from last night's
Log24 entry, with
four colored pencils from
Diane Robertson Design:

Diamond-shaped face of Durer's 'Melencolia I' solid, with  four colored pencils from Diane Robertson Design
 
See also
A Four-Color Theorem.

Friday, May 15, 2009

Friday May 15, 2009

Filed under: General — m759 @ 6:29 am
Today is the opening of
Angels & Demons

Thanks to Jillian’s Specials for the following quotation:

“… faith is…. validated by individual experience and inspired by epiphanies.”

— “Where Physics Meets Faith,” by , Oct. 21, 2004

Individual Experience:

See, for instance, the link in last Sunday’s entry to a remarkable group-theoretic map.

Epiphanies:

Part I: For Jillian

Jodie Foster in 'Contact'

(with a nod to Matthew McConaughey and his films Contact and, more recently, Ghosts of Girlfriends Past).

Part II: For a mountaineer–

In this morning’s news:

News of mountaineer's death on May 13, with map of Italy showing Rome marked by graphic balloon with black dot

(with a nod to Tom Hanks and to Gian-Carlo Rota and the Black Hole of Rome (cf. Psychoshop) as well as to the mountains, both real and imagined, in last Sunday’s link “a remarkable group-theoretic map“).

Saturday, April 4, 2009

Saturday April 4, 2009

Filed under: General — m759 @ 9:48 pm
Angels & Demons

Los Angeles Times, April 1:
obituary for the green demon of
  Joss Whedon‘s TV series “Angel“–

LA Times obituary from April 1, 2009, for Andy Hallett, who played a green demon in the Joss Whedon TV series 'Angel'

“As you read,
watch for patterns.”

— “Pattern in The Defense,”
apparently by Jeff Edmunds

Related material:

Today’s previous entries
and
Force Field of Dreams
(which contains the
above quotation)
in this journal on
Sept. 22, 2002

Friday, April 3, 2009

Friday April 3, 2009

Filed under: General,Geometry — Tags: , — m759 @ 5:24 am
Knight Moves

“Lord, I remember”
Bob Seger 


“Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday….”

Bernard Holland in The New York Times of Monday, May 20, 1996

Yesterday’s afternoon entry cited philosopher John Holbo on chess. This, together with Holland’s remark above and Monday’s entries on Zizek, suggests…

Holbo on Zizek
(pdf, 11 pages)

In this excellent analysis,
Holbo quotes Kierkegaard:

“… the knight of faith
‘has the pain of being unable to
make himself intelligible to others'”

(Kierkegaard, Fear and Trembling)

For some material that may serve to illustrate Kierkegaard’s remark, see Log24 on Twelfth Night and Epiphany this year.

“… There was a problem laid out on the board, a six-mover. I couldn’t solve it, like a lot of my problems. I reached down and moved a knight…. I looked down at the chessboard. The move with the knight was wrong. I put it back where I had moved it from. Knights had no meaning in this game. It wasn’t a game for knights.”


— Raymond Chandler, The Big Sleep

Perhaps a game for bishops?

Henry Edward Cardinal Manning

Cardinal Manning

Click on the cardinal
for a link to some remarks
related to the upcoming film
 “Angels & Demons” and to
a Paris “Sein Feld.”


Context: the five entries
ending at 9:26 AM
on March 10, 2009…
and, for Kierkegaard,
Diamonds Are Forever.

Monday, March 16, 2009

Monday March 16, 2009

Filed under: General — m759 @ 8:00 pm
Damnation Morning
continued

Annals of Prose Style

  Film Review

“No offense to either of them, but ‘Georgia Rule’ suggests an Ingmar Bergman script as directed by Jerry Lewis. The subject matter is grim, the relationships are gnarled, the worldview is bleak, and, at any given moment, you suspect someone’s going to be hit with a pie.” –John Anderson at Variety.com, May 8, 2007

Sounds perfect to me.


Through a Glass Darkly

“Preserving a strict unity of time and place, this stark tale of a young woman’s decline into insanity is set in a summer home on a holiday island. It is the first part of the trilogy that comprises Winter Light and The Silence, films which are generally seen as addressing Bergman’s increasing disillusionment with the emotional coldness of his inherited Lutheran religion. In particular here, Bergman focuses on the absence of familial love which might perhaps have pulled Karin (Andersson) back from the brink; while Karin’s mental disintegration manifests itself in the belief that God is a spider. As she slips inexorably into madness, she is observed with terrifying objectivity by her emotionally paralyzed father (Björnstrand) and seemingly helpless husband (von Sydow).”

— Nigel Floyd, Time Out, quoted at Bergmanorama

Related material:

1. The “spider” symbol of Fritz Leiber’s short story “Damnation Morning”–

2. Hollywood’s “Angels & Demons” (to open May 15), and

3. The following diagram by one “John Opsopaus”–

http://www.log24.com/log/pix09/090312-OpsopausSquare.jpg

Monday March 16, 2009

Filed under: General — Tags: — m759 @ 8:00 pm
Damnation Morning
continued

Annals of Prose Style

  Film Review

“No offense to either of them, but ‘Georgia Rule’ suggests an Ingmar Bergman script as directed by Jerry Lewis. The subject matter is grim, the relationships are gnarled, the worldview is bleak, and, at any given moment, you suspect someone’s going to be hit with a pie.” –John Anderson at Variety.com, May 8, 2007

Sounds perfect to me.


Through a Glass Darkly

“Preserving a strict unity of time and place, this stark tale of a young woman’s decline into insanity is set in a summer home on a holiday island. It is the first part of the trilogy

Bergman's trilogy including 'Through a Glass Darkly'

that comprises Winter Light and The Silence, films which are generally seen as addressing Bergman’s increasing disillusionment with the emotional coldness of his inherited Lutheran religion. In particular here, Bergman focuses on the absence of familial love which might perhaps have pulled Karin (Andersson) back from the brink; while Karin’s mental disintegration manifests itself in the belief that God is a spider. As she slips inexorably into madness, she is observed with terrifying objectivity by her emotionally paralyzed father (Björnstrand) and seemingly helpless husband (von Sydow).”

— Nigel Floyd, Time Out, quoted at Bergmanorama

Related material:

1. The “spider” symbol of Fritz Leiber’s short story “Damnation Morning“–

Fritz Leiber's 'spider' figure

2. The Illuminati Diamond of Hollywood’s “Angels & Demons” (to open May 15), and

3. The following diagram by one “John Opsopaus“–

Elemental square by John Opsopaus from 'The Rotation of the Elements'

Sunday, March 15, 2009

Sunday March 15, 2009

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

Angels, Demons,
"Symbology"

"On Monday morning, 9 March, after visiting the Mayor of Rome and the Municipal Council on the Capitoline Hill, the Holy Father spoke to the Romans who gathered in the square outside the Senatorial Palace…

'… a verse by Ovid, the great Latin poet, springs to mind. In one of his elegies he encouraged the Romans of his time with these words:

"Perfer et obdura: multo graviora tulisti."

 "Hold out and persist:
  you have got through
  far more difficult situations."

 (Tristia, Liber  V, Elegia  XI, verse 7).'"

This journal
on 9 March:

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

Note the color-interchange
symmetry
of each symbol
under 180-degree rotation.

Related material:
The Illuminati Diamond:

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Dan Brown's novel Angels & Demons introduced in the year 2000 the fictional academic discipline of "symbology" and a fictional Harvard professor of that discipline, Robert Langdon (named after ambigram* artist John Langdon).

Fictional Harvard professor of symbology Robert Langdon, as portrayed by Tom Hanks

Tom Hanks as Robert Langdon


A possible source for Brown's term "symbology" is a 1995 web page, "The Rotation of the Elements," by one "John Opsopaus." (Cf. Art History Club.)

"The four qualities are the key to understanding the rotation of the elements and many other applications of the symbology of the four elements." –John Opsopaus

* "…ambigrams were common in symbology…." —Angels & Demons
 

Monday, March 9, 2009

Monday March 9, 2009

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

Humorism

'The Manchurian Candidate' campaign button

"Always with a
little humor."
Dr. Yen Lo  

Diamond diagram of the four humors, the four qualities, the four elements, the four seasons, and four colors

From Temperament: A Brief Survey

For other interpretations
of the above shape, see
The Illuminati Diamond.

from Jung's Aion:

"From the circle and quaternity motif is derived the symbol of the geometrically formed crystal and the wonder-working stone. From here analogy formation leads on to the city, castle, church, house, room, and vessel. Another variant is the wheel. The former motif emphasizes the ego’s containment in the greater dimension of the self; the latter emphasizes the rotation which also appears as a ritual circumambulation. Psychologically, it denotes concentration on and preoccupation with a centre…." –Jung, Collected Works, Vol. 9, Part II, paragraph 352

 

As for rotation, see the ambigrams in Dan Brown's Angels & Demons (to appear as a film May 15) and the following figures:

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison
 
Click on image
for a related puzzle.
For a solution, see
 The Diamond Theorem.

 

A related note on
"Angels & Demons"
director Ron Howard:

Director Ron Howard with illustration of the fictional discipline 'symbology'
 
Click image for details.

 

Friday, March 6, 2009

Friday March 6, 2009

Filed under: General,Geometry — Tags: — m759 @ 7:30 pm
The Illuminati Stone

TV listing for this evening —
Family Channel, 7:30 PM:

"Harry Potter and
  the Sorcerer's Stone"

In other entertainment news —
Scheduled to open May 15:

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

"Only gradually did I discover
what the mandala really is:
'Formation, Transformation,
Eternal Mind's eternal recreation'"
(Faust, Part Two)

Carl Gustav Jung  

Related material:

"For just about half a century, E.J. Holmyard's concisely-titled Alchemy has served as a literate, well-informed, and charming introduction to the history and literature of Western alchemy." —Ian Myles Slater

From 'Alchemy,' by Holmyard, the diamond of Aristotle's 4 elements and 4 qualities

For more about this
"prime matter" (prima materia)
see The Diamond Archetype

The Diamond Cross

and Holy the Firm.

 

Background:

Holmyard —

'Alchemy,' by Holmyard, back cover of Dover edition

— and Aristotle's
On Generation and Corruption.

Wednesday, March 4, 2009

Wednesday March 4, 2009

Filed under: General — m759 @ 10:07 pm
Cover Art

Cover of 'Angels & Demons,' paperback ISBN-10 0671027360

As religious fictions go,
I prefer…

De Angelis

“Richardson leaned forward and picked up from the table a very old bound book and a very fat exercise book. He again settled himself in his chair, and said, looking firmly at Anthony– ‘This is the De Angelis of Marcellus Victorinus of Bologna, published in the year 1514 at Paris, and dedicated to Leo X.’

‘Is it?’ Anthony said uncertainly.”

— Charles Williams, The Place of the Lion, 1931

Cover by Jim Lamb for 'The Place of the Lion,' Eerdmans 1979 paperback, ISBN-10 0802812228

For more about the artist,
see an entry at the weblog
“Through the Wardrobe”
on Aug. 18, 2008.

Related material:
 previous entry.

Monday, March 2, 2009

Monday March 2, 2009

Joyce's Nightmare
continues

Today in History – March 2

Today is Monday, March 2, the 61st day of 2009. There are 304 days left in the year.

Today's Highlight in History:

On March 2, 1939, Roman Catholic Cardinal Eugenio Pacelli was elected Pope on his 63rd birthday; he took the name Pius XII.

Angels and Demons, Illuminati Diamond, pages 359-360

Log24 on June 9, 2008

From Gravity's Rainbow (Penguin Classics, 1995), page 563:

"He brings out the mandala he found.
'What's it mean?'
[….]

Slothrop gives him the mandala. He hopes it will work like the mantra that Enzian told him once, mba-kayere (I am passed over), mba-kayere… a spell […]. A mezuzah. Safe passage through a bad night…."

 

 

In lieu of Slothrop's mandala, here is another…

Christ and the four elements, 1495
 

 

Christ and the Four Elements

This 1495 image is found in
The Janus Faces of Genius:
The Role of Alchemy
in Newton's Thought,
by B. J. T. Dobbs,
Cambridge University Press,
2002, p. 85

 

 

Related mandalas:Diamond arrangement of the four elements
and

Logo by Steven H. Cullinane for website on finite geometry

 

 

For further details,
click on any of the
three mandalas above.

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

Happy birthday to
Tom Wolfe, author of
The Painted Word.

Sunday, March 1, 2009

Sunday March 1, 2009

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

Solomon's Cube
continued

"There is a book… called A Fellow of Trinity, one of series dealing with what is supposed to be Cambridge college life…. There are two heroes, a primary hero called Flowers, who is almost wholly good, and a secondary hero, a much weaker vessel, called Brown. Flowers and Brown find many dangers in university life, but the worst is a gambling saloon in Chesterton run by the Misses Bellenden, two fascinating but extremely wicked young ladies. Flowers survives all these troubles, is Second Wrangler and Senior Classic, and succeeds automatically to a Fellowship (as I suppose he would have done then). Brown succumbs, ruins his parents, takes to drink, is saved from delirium tremens during a thunderstorm only by the prayers of the Junior Dean, has much difficulty in obtaining even an Ordinary Degree, and ultimately becomes a missionary. The friendship is not shattered by these unhappy events, and Flowers's thoughts stray to Brown, with affectionate pity, as he drinks port and eats walnuts for the first time in Senior Combination Room."

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

"The Solomon Key is the working title of an unreleased novel in progress by American author Dan Brown. The Solomon Key will be the third book involving the character of the Harvard professor Robert Langdon, of which the first two were Angels & Demons (2000) and The Da Vinci Code (2003)." — Wikipedia

"One has O+(6) ≅ S8, the symmetric group of order 8! …."

 — "Siegel Modular Forms and Finite Symplectic Groups," by Francesco Dalla Piazza and Bert van Geemen, May 5, 2008, preprint.

"The complete projective group of collineations and dualities of the [projective] 3-space is shown to be of order [in modern notation] 8! …. To every transformation of the 3-space there corresponds a transformation of the [projective] 5-space. In the 5-space, there are determined 8 sets of 7 points each, 'heptads' …."

— George M. Conwell, "The 3-space PG(3, 2) and Its Group," The Annals of Mathematics, Second Series, Vol. 11, No. 2 (Jan., 1910), pp. 60-76

"It must be remarked that these 8 heptads are the key to an elegant proof…."

— Philippe Cara, "RWPRI Geometries for the Alternating Group A8," in Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference (July 16-21, 2000), Kluwer Academic Publishers, 2001, ed. Aart Blokhuis, James W. P. Hirschfeld, Dieter Jungnickel, and Joseph A. Thas, pp. 61-97
 

Tuesday, April 8, 2003

Tuesday April 8, 2003

Filed under: General — m759 @ 2:56 am

Babar’s Dream

In memory of Cécile de Brunhoff, discoverer of
Babar, who died yesterday at the age of 99.

“Here we see the imagined universe of Babar’s Dream by Jean de Brunhoff. In an archetypal battle between good and evil, the graceful winged elephants — the angels of kindness, intelligence, courage, patience, perseverance, knowledge, work, hope, love, health, joy, and happiness — drive out the demons of misfortune, anger, stupidity, discouragement, sickness, spinelessness, despair, fear, ignorance, cowardice, laziness.”

— Source cited: Edward R. Tufte, Visual Explanations

Today is Buddha’s birthday.  For the
connection with elephants, click here.

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