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(Old) Log24: Web Journal of
Steven H. Cullinane.


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m759.net/wordpress/.

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Name: Steven
Location: Pennsylvania, United States
Gender: Male


Interests: Mathematics, literature.
Occupation: Retired
Industry: Computers (Software)


Website: visit my website


Member Since: 7/20/2002
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Archived Entries:
See log24.com.

Selected Past Entries:

Three Days
of the
Saint, 2002

12/6:
Santa vs.
the Volcano


12/7:
Satori at
Pearl Harbor


12/8:
Architecture
of Eternity


Some may feel that the Saint in question is Philip Berrigan, who joined Saburo Ienaga and Ivan Illich on Dec. 6, 2002.

Others may feel that the Saint is Don Ameche, who died on Dec. 6, 1993.

"Things change."

— SHC 12/9/02

Sequel

Stan Rice died on Dec. 9, 2002. A poem of his tells what happened next.

Eight is a Gate

Hollywood producer dies Dec. 14, meets Bach at Heaven's Gate. Realistic comedy.

The Diamond Project

Notes on dance, mortality, and "the still point" on the date of Irene Diamond's death.

Immortal Diamond,
or
NASA Meets Jesus

Thoughts on John O'Hara and G. M. Hopkins for James Joyce's birthday.

Blackbird Singing

The Fred Rogers memorial koan.

Art Wars

LeWitt vs. Witt

Stone, not Wood

best describes St. Peter

The Word

in the Desert

Art Wars:

Fahne Hoch

and

Thorny Crown


O'Hara's Crucifixion


Unity and Reciprocity

in mathematics

The Quality of Diamond


Da Vinci Code ,

Crimson Passion,

Cubist Crucifixion.

Truth and Style


The Line


Bush Mutiny


Symmetry and Change


A Shot at Redemption


Mathematics and Narrative


The Judas Seat


Countdown


My math sites:

Finitegeometry.org

Finitegeometry.org/sc

The Diamond 16 Puzzle

Notes on Finite Geometry

The Diamond Theorem

The Geometry of Qubits

Diamond Theory

Diamond Theory
in 1937


Galois Geometry

A Four-Color Theorem

Latin-Square Geometry

Walsh Functions

The Fano Plane Revisualized

Cube Space, 1984-2003

Knight Moves

The MOG

Inscapes

The Diamond Theory of Truth

Logos and Logic

Literary-Philosophical
Puzzle Notes


A Mathematician's Aesthetics

Reflection Groups in Finite Geometry

A Reflection Group of Order 168

The Algebra of Groups

Reflection Groups: The Missing Link

Geometry of
the I Ching


The Diamond Archetype

Modal Theology

The Eightfold Way and Solomon's Seal

Crystal and Dragon in Diamond Theory

Poetry's Bones

Time Fold

War of Ideas

The Proof
and the Lie


Lemniscate
to Langlands


Symmetry Groups

Block Designs

Finite Relativity

Cognitive Blending

Geometry of the 4x4 Square

Visualizing GL(2,p)

Pattern Groups

Ideas and Art

Jung's Imago

Theme and Variations

The Geometry of Logic

Space-Time and a Finite Model

Quilt Geometry

Duality and Symmetry

Polster on Pictures

Kaleidoscope

The Dharwadker Files

Certified Crank

Dharwadker at Wikipedia

Coset Representatives

Archived Journal


Radio I Like

Plano TX KHYI

WAMU 88.5FM

WHRB Harvard

BBC 3

Live365.com


Favorite Books

The Practical Cogitator

Style

The Reader Over Your Shoulder

The Oxford Book of English Prose

Fancies and Goodnights


Other Online Commonplace Books

David Lavery

Peter J. Cameron

A. M. Kuchling

Constant Reader

Identity Theory

J. Jacobs

M. Magnus

ChrisNet

Anonymous

Sites I Read:

Bloglines list

Ping form

SubscriptionsSites I Read

Posting Calendar

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Saturday, December 20, 2003

White, Geometric, and Eternal

This afternoon's surfing:

Prompted by Edward Rothstein's own Fides et Ratio encyclical in today's NY Times, I googled him.

At the New York Review of Books, I came across the following by Rothstein:

"... statements about TNT can be represented within TNT: the formal system can, in a precise way, 'talk' about itself."

This naturally prompted me to check what is on TNT on this, the feast day of St. Emil Artin.  At 5 PM this afternoon, we have Al Pacino in "The Devil's Advocate" -- a perfect choice for the festival of an alleged saint.

Preparing for Al, I meditated on the mystical significance of the number 373, as explained in Zen and Language Games: the page number 373 in Robert Stone's theological classic A Flag for Sunrise conveys the metaphysical significance of the phrase "diamonds are forever" -- "the eternal in the temporal," according to Stone's Catholic priest.  This suggests a check of another theological classic, Pynchon's Gravity's RainbowPage 373 there begins with the following description of prewar Berlin:

"white and geometric."

This suggests the following illustration of a white and geometric object related to yesterday's entry on Helmut Wielandt:

From antiquark.com

Figure 1

(This object, which illustrates the phrase "makin' the changes," also occurs in this morning's entry on the death of a jazz musician.)

A further search for books containing "white" and "geometric" at Amazon.com yields the following:

Figure 2

From Mosaics, by
Fassett, Bahouth, and Patterson:

"A risco fountain in Mexico city, begun circa 1740 and made up of Mexican pottery and Chinese porcelain, including Ming.

The delicate oriental patterns on so many different-sized plates and saucers [are] underlined by the bold blue and white geometric tiles at the base."

Note that the tiles are those of Diamond Theory; the geometric object in figure 1 above illustrates a group that plays a central role in that theory.

Finally, the word "risco" (from Casa del Risco) associated with figure 2 above leads us to a rather significant theological site associated with the holy city of Santiago de Compostela:

Figure 3

Vicente Risco's
Dedalus in Compostela.

Figure 3 shows James Joyce (alias Dedalus), whose daughter Lucia inspired the recent entry Jazz on St. Lucia's Day -- which in turn is related, by last night's 2:45 entry and by Figure 1, to the mathematics of group theory so well expounded by the putative saint Emil Artin.

"His lectures are best described as
polished diamonds."
-- Fine Hall in its Golden Age,
by Gian-Carlo Rota

If Pynchon plays the role of devil's advocate suggested by his creation, in Gravity's Rainbow, of the character Emil Bummer, we may hope that Rota, no longer in time but now in eternity, can be persuaded to play the important role of saint's advocate for his Emil.

Update of 6:30 PM 12/20/03:

Riddled:

The Absolutist Faith
of The New York Times

White and Geometric, but not Eternal.


Quarter to Three

"You've got to be true to your code."
-- Frank Sinatra

In memory of Webster Young,
who died on Saint Lucia's day,
December 13, 2003 --

From my entry of 12/16/03,
Jazz on St. Lucia's Day:

 

"Now you has jazz."
- High Society, 1956

Webster Young was a jazz trumpeter.

In 1957, Young was featured on
saxophonist Jackie McLean's albums
"A Long Drink of the Blues" and
"Makin' the Changes."

-- Adam Bernstein,
Washington Post, Dec. 18

"One for my baby,
and one more for the road."
-- Frank Sinatra





For St. Emil's Day

On this date in 1962, Emil Artin died.

He was, in his way, a priest of Apollo, god of music, light, and reason.

The previous entry dealt with permutation groups, in the context of a Jan. 2004 AMS Notices review of a book on the mathematics of juggling.

It turns out that juggling is, in fact, related to Artin's theory of "braid groups."  For details, see Juggling Braids.

For more on Apollo, see my entry of

1/09.


Friday, December 19, 2003

Happy Birthday, Helmut Wielandt
(wherever you may be)



Cover illustration,
AMS Notices, January 2004

In light of my entry on change-ringing of this date last year, the above AMS Notices cover may serve to illustrate what Heidegger so memorably dubbed the

 "Geheimnis des Glockenturms."

For details on the illustration,
click here and scroll down.

(Wielandt was an expert
on permutation groups.)


Thursday, December 18, 2003

Christmas Concert

"And now what you've all
been waiting for... Wagner!"

-- Conclusion of the film "Cosi"

Related material:

The Ring and the Rings: Wagner vs. Tolkien, by Alex Ross, in The New Yorker, current (Dec. 22-29) issue.

Tolkien, Wagner, Nationalism, and Modernity, from a 2001 Seattle Opera House conference.



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