From the journal of Steven H. Cullinane... 2009 January 01-15

Thursday, January 15, 2009  6:00 PM

Signs of the Times:

Harvard, Magic,
and The New York Times

The New York Times Magazine for next Sunday:

The Edge of the Mystery, by Matt Bai--

"Weeks before the election of 1960, Norman Mailer, already an accomplished novelist, sat down to write his first major work of political journalism, an essay for Esquire in which he argued that only John F. Kennedy could save America... the only kind of leader who could rescue it, who could sweep in an era of what Mailer called 'existential' politics, was a 'hipster' hero-- someone who welcomed risk and adventure, someone who sought out new experience, both for himself and for the country....

... Mailer essentially created a new genre for a generation of would-be literary philosophers covering politics....  By 1963, Mailer and other idealists were crushed to discover that Kennedy was in fact a fairly conventional and pragmatic politician, more Harvard Yard than Fortress of Solitude."

The New York Times today:

Magic and Realism, by Roger Cohen--

"... what I want from the Obama administration is something more than Harvard-to-the-Beltway smarts. I want magical realism."

Mailer and Cohen, taken together, suggest I should review two authors-- Picard and Hesse-- I encountered as a Harvard freshman in 1960.

Max Picard:

"In the 'Prologue in Heaven' in Goethe's Faust a powerful silence is produced by the powerful word after each verse. There is an active, audible silence after every verse. The things that were moved into position by the word stand motionless in the silence, as if they were waiting to be called back into the silence and to disappear therein. The word not only brings the things out of silence; it also produces the silence in which they can disappear again."

Goethe:

DER HERR:
Kennst du den Faust?

MEPHISTOPHELES:
Den Doktor?

DER HERR:
Meinen Knecht!

Online Etymology Dictionary:

knight
O.E. cniht "boy, youth, servant," common W.Gmc. (cf. O.Fris. kniucht, Du. knecht, kneht "boy, youth, lad," Ger. Knecht "servant, bondsman, vassal"), of unknown origin. Meaning "military follower of a king or other superior" is from c.1100. Began to be used in a specific military sense in Hundred Years War, and gradually rose in importance through M.E. period until it became a rank in the nobility 16c. The verb meaning "to make a knight of (someone)" is from c.1300. Knighthood is O.E. cnihthad M.H.G. "the period between childhood and manhood;" sense of "rank or dignity of a knight" is from c.1300. The chess piece so called from c.1440.

Further background on the word "Knecht"--

'Magister Ludi,' or 'The Glass Bead Game,' by Hermann Hesse

Epigraph to Magister Ludi
(Joseph Knecht's translation):

"... For although in a certain sense and for light-minded persons non-existent things can be more easily and irresponsibly represented in words than existing things, for the serious and conscientious historian it is just the reverse. Nothing is harder, yet nothing is more necessary, than to speak of certain things whose existence is neither demonstrable nor probable. The very fact that serious and conscientious men treat them as existing things brings them a step closer to existence and to the possibility of being born."


Thursday, January 15, 2009  2:45 AM

Heaven's...

Gate
 or, Everybody
Comes to Rick's
(abstract version)

For Mary Gaitskill,
continued from
June 21, 2008:
 
Designer's grid-- 6x4 array of squares, each with 4 symmetry axes

This minimal art
is the basis of the
chess set image
from Tuesday:

 Chess set design by F. Lanier Graham, 1967

Related images:

Doors of Rick's Cafe Americain in 'Casablanca'

Bogart and Lorre in 'Casablanca' with chessboard and cocktail

"The key is the
cocktail that begins
the proceedings."

-- Brian Harley,
Mate in Two Moves


Wednesday, January 14, 2009  7:00 PM

It's still the same old story:

A Fight for
Love and Glory


The 8-point star
of Venus:

Eight-point star of Venus

This star is suggested by
the Spanish name "Lucero"
and by the following
passage from Heinlein's
classic novel Glory Road:

    "I have many names. What would you like to call me?"

    "Is one of them 'Helen'?"

    She smiled like sunshine and I learned that she had dimples. She looked sixteen and in her first party dress. "You are very gracious. No, she's not even a relative. That was many, many years ago." Her face turned thoughtful. "Would you like to call me 'Ettarre'?"

    "Is that one of your names?"

    "It is much like one of them, allowing for different spelling and accent. Or it could be 'Esther' just as closely. Or 'Aster.' Or even 'Estrellita.'"

    "'Aster,'" I repeated. "Star. Lucky Star!"


Ricardo Montalban, d. Jan. 14, 2009-- NY Times
 
Que descanse en paz.


Little Mermaid bed

Later the same evening...
an update in memory
of Patrick McGoohan:

NYT obituaries 1/14/09 for both Ricardo Montalban and Patrick McGoohan

"There is one story and one story only
That will prove worth your telling....
 
...of the undying snake from chaos hatched,
Whose coils contain the ocean,
Into whose chops with naked sword he springs,
Then in black water, tangled by the reeds,
Battles three days and nights,
To be spewed up beside her scalloped shore...."
 
-- Robert Graves,
   "To Juan at the Winter Solstice"


Wednesday, January 14, 2009  2:45 AM

Mathematics and Narrative, continued:

Eight is a Gate

'The Eight,' by Katherine Neville

Customer reviews of Neville's 'The Eight'

From the most highly
rated negative review:

"I never did figure out
what 'The Eight' was."

Various approaches
to this concept
(click images for details):

The Fritz Leiber 'Spider' symbol in a square

A Singer 7-cycle in the Galois field with eight elements

The Eightfold (2x2x2) Cube

The Jewel in Venn's Lotus (photo by Gerry Gantt)

Tom O'Horgan in his loft. O'Horgan died Sunday, Jan. 11, 2009.

Bach, Canon 14, BWV 1087


Tuesday, January 13, 2009  1:00 PM

Annals of Aesthetics:

Something Traditional --

"German Chancellor Dr. Angela Merkel is the Charlemagne Prize laureate of 2008.... The prize will be awarded on 1 May, Ascension Day."

-- The City of Aachen

Something Modern --

Previously undescribed in this journal:

A chess set
by F. Lanier Graham
of modular design:

Interlocking chess pieces by F. Lanier Graham, 1967

A NOTE BY THE DESIGNER

"The traditional chess set, with its naturalistic images of medieval armies, suggests a game between combatants who enjoy the winning of battles. This chess set, with its articulated images of abstract force, suggests a game between contestants who enjoy the process of thinking.
   
The primary principle of this design... is that the operating reality or function of each piece-- both its value and how it moves-- is embodied in a simple self-expressive form....

Chess pieces by F. Lanier Graham, 1967
Design Copyright F. Lanier Graham 1967

These pieces are designed to have the look and feel of little packages of power. The hardwoods (walnut and korina) are left unfinished, not only because of tactile values, but also to emphasize the simplicity of the design. The interlocking blocks are packaged to reflect the essential nature of the game-- rational recreation, played with basic units whose fields of force continuously interact in subtle, complex patterns."

-- F. Lanier Graham, 1967

For those whose tastes in recreation are less rational, there is also the legendary chess set of Charlemagne described in novels by Katherine Neville. (See ART WARS.)

Related material: this journal on the First of May, 2008, the date of last year's Charlemagne award.


Tuesday, January 13, 2009  4:30 AM

ART WARS continued:

The Mists of
Brooklyn


Carol Kino
in today's New York Times:

"Typically, each piece depicts a monumentally sized object that often comments archly on its surroundings...."

Architectural vesica piscis

Architectural
Vesica Piscis

Arch at Glastonbury Tor

Arch at
Glastonbury Tor


For some context, see

NY Times front page, Sunday morning, Jan. 11, 2009: Brooklyn Bridge and Sinatra

The ashes of Bradley,
who wrote about Camelot
in The Mists of Avalon,
 are said to have been
scattered at Glastonbury Tor.

For material on the afterlife
and Brooklyn, see
Only the Dead.


Sunday, January 11, 2009  7:59 AM

Pre-Sermon:

A Major Metaphor

NY Times front page, Sunday morning, Jan. 11, 2009: Brooklyn Bridge and Sinatra

See also
Today's Sermon.


Sunday, January 11, 2009  6:24 AM

Today's Sermon:

A Minor Metaphor

                     ... we know that we use
Only the eye as faculty, that the mind
Is the eye, and that this landscape of the mind


Is a landscape only of the eye; and that
We are ignorant men incapable
Of the least, minor, vital metaphor....


-- Wallace Stevens, "Crude Foyer"


                                               ... So, so,
O son of man, the ignorant night, the travail
Of early morning, the mystery of the beginning
Again and again,
                         while History is unforgiven.


-- Delmore Schwartz,
  "In the Naked Bed, in Plato's Cave"

For those who prefer
stories to truth,
I recommend the
blue matrices of
Marion Zimmer Bradley's
Darkover stories.
Bradley also wrote
The Mists of Avalon.

Happy birthday to
David Wolper,
who produced the
TV version of Mists.

Related material:
Diamonds Are Forever


Saturday, January 10, 2009  10:10 AM

O Tannenbaum:

A Russian Doll

Introduction

At the Still Point:

The 3x3 square

For details of the story,
click on the images.

Chapter I:


'The Power Of The Center: A Study of Composition in the Visual Arts,' by Rudolf Arnheim

Chapter II:

Cover of 'Nine Stories' with 'Dinghy' at center

Chapter III:

Natasha's Dance

Orson Welles with chessboard

and the following quotation:

"There is no landing fee in Avalon,
 or anywhere else in Catalina."


Friday, January 9, 2009  5:01 PM

In Loco Citato:

Stories
for Mary Karr

"In reality, my prose books
probably sit between
I Was a Teenage Sex Slave
and some other contemporary
memoir written in five minutes...."

-- Mary Karr in the NY Times
of July 6, 2007

Story of M, Story of N, Story of O

See also
Ballet Blanc
and the true story
0, 1, 2, 3, ....

"In a dream scenario, my memoirs...
would find another shelf.
They’d sit between St. Augustine
  and Nabokov’s Speak, Memory...."

-- Mary Karr, loc. cit.

Recall the
mnemonic rhyme
"Nine is a Vine."


Friday, January 9, 2009  5:01 AM

Annals of Theology:

Teaser head from the
online NY Times
this morning:

NY Times teaser head for a Susan Cheever column on Drink and the Divine

Another teaser:

Girl in bar from 'El Cazador de la Bruja'

Is the Pope Catholic?


Related material:

The Craft and
On the Cross


Thursday, January 8, 2009  11:07 PM

Religion and Narrative, continued:

Report of Arrival

A PBS broadcast of Cyrano de Bergerac was shown yesterday nationally and this evening, a day late, by WNED TV, Buffalo.

From the translation by Anthony Burgess:

Cyrano speaks of falling leaves--

  They fall well. With a sort of panache.
  They plume down in their last
  Loveliness, disguising their fear
  Of being dried and pounded to ash
  To mix with the common dust.
  They go in grace, making their fall appear
  Like flying.
ROXANE  You're melancholy today.
CYRANO  Never. I'm not the melancholy sort.
ROXANE  Very well, then. We'll let
  The leaves of the fall fall while you
  Turn the leaves of my gazette.
  What's new at court?
CYRANO ... There have been some scandals
  To do with witches. A bishop went to heaven,
  Or so it's believed: there's been as yet no report
  Of his arrival...."

Later....

CYRANO ... See it there, a white plume
  Over the battle-- A diamond in the ash
  Of the ultimate combustion--
  My panache."


Related material:

Today's previous entry
and the Epiphany
link to the
four-diamond symbol
in Jung's Aion
with an epigraph by
Gerard Manley Hopkins:

That Nature is a Heraclitean Fire...


Thursday, January 8, 2009  7:00 PM

Religion and Narrative, continued:

A Public Square

In memory of
Richard John Neuhaus,
who died today at 72:

"It seems, as one becomes older,
That the past has another pattern,
   and ceases to be a mere sequence...."

-- T. S. Eliot, Four Quartets

A Walsh function and a corresponding finite-geometry hyperplane

See also The Folding.


Tuesday, January 6, 2009  12:00 AM

Epiphany 2009:

Archetypes, Synchronicity,
and Dyson on Jung

The current (Feb. 2009) Notices of the American Mathematical Society has a written version of Freeman Dyson's 2008 Einstein Lecture, which was to have been given in October but had to be canceled. Dyson paraphrases a mathematician on Carl Jung's theory of archetypes:
"... we do not need to accept Jung’s theory as true in order to find it illuminating."
The same is true of Jung's remarks on synchronicity.

For example --

Yesterday's entry, "A Wealth of Algebraic Structure," lists two articles-- each, as it happens, related to Jung's four-diamond figure from Aion as well as to my own Notes on Finite Geometry. The articles were placed online recently by Cambridge University Press on the following dates:

R. T. Curtis's 1974 article defining his Miracle Octad Generator (MOG) was published online on Oct. 24, 2008.

Curtis's 1987 article on geometry and algebraic structure in the MOG was published online on Dec. 19, 2008.

On these dates, the entries in this journal discussed...

Oct. 24:
Cube Space, 1984-2003

Material related to that entry:
Dec. 19:
Art and Religion: Inside the White Cube

That entry discusses a book by Mark C. Taylor:

The Picture in Question: Mark Tansey and the Ends of Representation (U. of Chicago Press, 1999).

In Chapter 3, "Sutures of Structures," Taylor asks --
"What, then, is a frame, and what is frame work?"
One possible answer --

Hermann Weyl on the relativity problem in the context of the 4x4 "frame of reference" found in the above Cambridge University Press articles.

"Examples are the stained-glass
windows of knowledge."
-- Vladimir Nabokov 


Monday, January 5, 2009  9:00 PM

Annals of Geometry:

A Wealth of
Algebraic Structure

A 4x4 array (part of chessboard)

A 1987 article by R. T. Curtis on the geometry of his Miracle Octad Generator (MOG) as it relates to the geometry of the 4x4 square is now available online ($20):

Further elementary techniques using the miracle octad generator
, by R. T. Curtis. Abstract:

"In this paper we describe various techniques, some of which are already used by devotees of the art, which relate certain maximal subgroups of the Mathieu group M24, as seen in the MOG, to matrix groups over finite fields. We hope to bring out the wealth of algebraic structure* underlying the device and to enable the reader to move freely between these matrices and permutations. Perhaps the MOG was mis-named as simply an 'octad generator'; in this paper we intend to show that it is in reality a natural diagram of the binary Golay code."

(Received July 20 1987)

-- Proceedings of the Edinburgh Mathematical Society (Series 2) (1989), 32: 345-353, doi:10.1017/S0013091500004600.

(Published online by Cambridge University Press 19 Dec 2008.)

In the above article, Curtis explains how two-thirds of his 4x6 MOG array may be viewed as the 4x4 model of the four-dimensional affine space over GF(2).  (His earlier 1974 paper (below) defining the MOG discussed the 4x4 structure in a purely combinatorial, not geometric, way.)

For further details, see The Miracle Octad Generator as well as Geometry of the 4x4 Square and Curtis's original 1974 article, which is now also available online ($20):

A new combinatorial approach to M24, by R. T. Curtis. Abstract:

"In this paper, we define M24 from scratch as the subgroup of S24 preserving a Steiner system S(5, 8, 24). The Steiner system is produced and proved to be unique and the group emerges naturally with many of its properties apparent."

(Received June 15 1974)

-- Mathematical Proceedings of the Cambridge Philosophical Society (1976), 79: 25-42, doi:10.1017/S0305004100052075.

(Published online by Cambridge University Press 24 Oct 2008.)

* For instance:

Algebraic structure in the 4x4 square, by Cullinane (1985) and Curtis (1987)

Click for details.


Saturday, January 3, 2009  7:20 PM

Literature and...

Chess

"The entire sequence of moves in these... chapters reminds one-- or should remind one-- of a certain type of chess problem where the point is not merely the finding of a mate in so many moves, but what is termed 'retrograde analysis'...."

-- Vladimir Nabokov, foreword to "The Defense"


Friday, January 2, 2009  5:48 AM

A Mystery for Westlake:

Signs and Symbols

continued...
from the five entries
ending on June 3, 2008
and from yesterday,
New Year's Day

The end of a story by Vladimir Nabokov in The New Yorker of May 15, 1948:

Rotary telephone dial
"You have the incorrect number. I will tell you what you are doing: you are turning the letter O instead of the zero."

They sat down to their unexpected festive midnight tea. The birthday present stood on the table. He sipped noisily; his face was flushed; every now and then he imparted a circular motion to his raised glass so as to make the sugar dissolve more thoroughly. The vein on the side of his bald head where there was a large birthmark stood out conspicuously and, although he had shaved that morning, a silvery bristle showed on his chin. While she poured him another glass of tea, he put on his spectacles and re-examined with pleasure the luminous yellow, green, red little jars. His clumsy moist lips spelled out their eloquent labels: apricot, grape, beech plum, quince. He had got to crab apple, when the telephone rang again.

Art based on a cover of Salinger's 'Nine Stories'
Click for details.


Thursday, January 1, 2009  8:28 PM

A Stitch in Time:

Out with
   the Old Year...

Donald E. Westlake, who died New Year's Eve, 2008, in Mexico

Click to enlarge.

In with
   the New...

http://www.log24.com/log/pix09/090901-EscritorioSm.jpg

Click to enlarge.

Escritorio
Sept. 15, 2008

A Stitch in Time...

(See previous entry.)


Thursday, January 1, 2009  6:11 PM

Elective Concurrences:

Feliz Cumpleaños

'Con Frambuesas'-- birthday picture from Buenos Aires uploaded Nov. 16, 2008

See also Log24 on the date
this picture was uploaded:
 November 16, 2008.


Thursday, January 1, 2009  3:00 AM

With Honors:

The Becket List

Monday, Dec. 29, 2008, was St. Thomas Becket's Day.

On that day in this journal there was a note from the New York Times on the screenwriter of the 1969 film  "A Walk With Love and Death"--
"He feuded with... John Huston, who gave the lead female role in 'Walk' to his teenage daughter... against Mr. Wasserman's wishes."
Legacy.com this morning:
Liz Evett

WEST RICHLAND, Wash. (AP) - Liz Evett, a teen who inspired people across the nation by creating a "bucket list" of things she wanted to do before she died, has died. She was 18.

Her mother, Angie Ivey, said Evett died Monday [Dec. 29, 2008] of leukemia. The West Richland teen was diagnosed with cancer nearly three years ago and relapsed in April.

When she stopped responding to treatment in June, Evett created a "bucket list" of things she wanted to do before dying and spent the last six months crossing them off.

Her list included feeding giraffes, meeting Seattle Mariner Ichiro Suzuki and graduating from high school.