From Dan Brown's novel Angels & Demons (2000)—
Monday, July 15, 2019
Arche’s Schoolgirl Space
Monday, May 13, 2019
Doris Day at the Hudson Rock
" '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
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 —
Friday, December 7, 2018
The Angel Particle
https://newatlas.com/angel-particle-own-antiparticle/50579/
Scientists discover "angel particle"
Michael Irving . . . . "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
From a search in this journal for Desmic —
"As the chaos grew . . . ."
"We have, in fact, the corners of a cube . . . ."
Sunday, April 22, 2018
Tuesday, September 29, 2015
Quotes for Michaelmas
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."
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
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
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 —
Wednesday, October 1, 2014
Mathematics for Tromsø
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
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
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)
Angels & Demons meet Hudson Hawk
Dan Brown's four-elements diamond in Angels & Demons :
The Leonardo Crystal from Hudson Hawk :
Mathematics may be used to relate (very loosely)
Dan Brown's fanciful diamond figure to the fanciful
Leonardo Crystal from Hudson Hawk …
-
Compare Brown's fictional Illuminati Diamond to the
nonfictional figures in The Diamond Theorem and
Theme and Variations. -
Compare the fictional Leonardo Crystal to Hudson's
nonfictional desmic system of tetrahedra (above), and
see, in Rosenhain and Göpel Tetrads in PG(3,2), how
the diamond theorem is related to Hudson's work.
For the tetrads ' relationship to tetrahedra , see
Hudson's own book.
"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
For Robert Langdon (Angels & Demons )…
See Final Club (Wikipedia) and Kiss Club (this journal).
Monday, January 28, 2013
Encounter
"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
Or: Night of Lunacy
From 9 PM Monday —
Note that the last line, together with the page number, forms
a sort of key—
The rest of the story—
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—
(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—
For more lunacy, see…
Continue a search for thirty-three and three
— Katherine Neville, The Eight
Monday, September 5, 2011
Illuminata*
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 —
![]() |
"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—
I prefer philosophy enacted by Reba.
* A reference to Dan Brown, not Marianne Williamson
Monday, January 31, 2011
Darkness at Noon
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”—
Tuesday, October 19, 2010
Savage Logic…
and the New York Lottery
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 —
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 "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: (Tristia, Liber V, Elegia XI, verse 7).'" This journal
on 9 March: Note the color-interchange Related material: |
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
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."
— May 15, 2009
, Orlando Sentinel movie critic,Related material:
The Robert Jones Code—
Thursday, July 1, 2010
Plato’s Code
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)—
HYPE:
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:
NOT HYPE:
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" column— Nancy Bauer.
— The New York Times
Tuesday, March 30, 2010
Lie Groups for Holy Week
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
Monday, March 15, 2010
But Seriously…
Kugelbild
"You are retracing your steps."
— Jacques Derrida
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
Meanwhile, back at the AMS–
Ready for His Closeup
Closeup–
"You're talking about…
the moment of creation!"
See also
Rebecca Goldstein
and the Number 36
Thursday, January 21, 2010
Darkness at Noon
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."
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—
Another example of eightfold symmetry:
The Large Hadron Collider
See also Angels & Demons in
Hollywood and in this journal.
Tuesday, July 14, 2009
Tuesday July 14, 2009
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–

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– |
Wednesday, June 3, 2009
Wednesday June 3, 2009
to Four Quartets:

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.”

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
New York Times
banner this morning:
Related material from
July 11, 2008:
The HSBC Logo Designer — Henry Steiner
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). |
Charles Taylor,
"Epiphanies of Modernism," Chapter 24 of Sources of the Self (Cambridge U. Press, 1989, p. 477):
"… the object sets up
See also Talking of Michelangelo.
|
Related material suggested by
an ad last night on
ABC's Ugly Betty season finale:
Diamond from last night's
Log24 entry, with
four colored pencils from
Diane Robertson Design:
See also
A Four-Color Theorem.
Friday, May 15, 2009
Friday May 15, 2009
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 —

Part II: For a mountaineer–
(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
Los Angeles Times, April 1:
obituary for the green demon of
Joss Whedon‘s 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
“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…
(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)
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
continued
Annals of Prose Style
|
“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).”
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”–

Monday March 16, 2009
continued
Annals of Prose Style
|
“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. The Illuminati Diamond of Hollywood’s “Angels & Demons” (to open May 15), and
3. The following diagram by one “John Opsopaus“–
Sunday, March 15, 2009
Sunday March 15, 2009
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).'"
on 9 March:
Note the color-interchange
symmetry of each symbol
under 180-degree rotation.
Related material:
The Illuminati Diamond:

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
Humorism
"Always with a
little humor."
— Dr. Yen Lo
From Temperament: A Brief Survey
For other interpretations
of the above shape, see
The Illuminati Diamond.
from Jung's Aion:
As for rotation, see the ambigrams in Dan Brown's Angels & Demons (to appear as a film May 15) and the following figures:

Click on image
for a related puzzle.
For a solution, see
The Diamond Theorem.
A related note on
"Angels & Demons"
director Ron Howard:

Click image for details.
Friday, March 6, 2009
Friday March 6, 2009
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:
"Only gradually did I discover
what the mandala really is:
'Formation, Transformation,
Eternal Mind's eternal recreation'"
(Faust, Part Two)
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 |
For more about this
"prime matter" (prima materia)
see The Diamond Archetype
and Holy the Firm.
Background:
Holmyard —
— and Aristotle's
On Generation and Corruption.
Wednesday, March 4, 2009
Wednesday March 4, 2009

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 |
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 2Today 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. |
From Gravity’s Rainbow (Penguin Classics, 1995), page 563: “He brings out the mandala he found. 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 This 1495 image is found in
For further details,
click on any of the three mandalas above. |
Happy birthday to
Tom Wolfe, author of
The Painted Word.
Sunday, March 1, 2009
Sunday March 1, 2009
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
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.