From the journal of Steven H. Cullinane... 2009 May 16-31

Saturday, May 30, 2009  9:29 AM

Annals of Journalism:

Saturday Mourning

Part I:

From  'Diamond-Theory.com'-- 'Welcome to the Frontpage'

Part II:

Front page of New York Daily News, Saturday morning, May 30, 2009: Omar Edwards with Yankees baseball cap

Click on images for details.


Thursday, May 28, 2009  9:00 PM

ART WARS continued:

Spelling

At right below, an image from the opening of Fox Studios Australia in Sydney on November 7, 1999.  The Fox ceremonies included, notably, Kylie Minogue singing "Diamonds are a Girl's Best Friend."

Red Windmill

Windmill image from diamond theory

Kylie Minogue

Kylie Minogue


For the mathematical properties of the red windmill (moulin rouge) figure at left, see Diamond Theory.


"There comes a time when you have
  learned enough to decide whether
  the way of the Craft is for you....

 First you will need to 
   prepare your sacred space....

 Calling the Corners (or Quarters)
  is something you will always do."

-- "Becoming a Witch" webpage

In related news:


CBS Evening News-- 'New York's Newest  Ballpark'

Happy birthday, Kylie.


Tuesday, May 26, 2009  12:00 PM

First-Draft Theater --

For Daedalus

"Some writers describe the
      first draft as 'making clay'...."

-- Janet Burroway  

Quoted here
 a year ago today:

"... she explores
the nature of identity
in a structure of
crystalline complexity."

 -- Janet Burroway  
(See ART WARS.)

For Stevie Nicks on her birthday

Related material:

Amy Adams in 'Doubt'

Amy Adams in Doubt

Stars of 'Doubt,' Amy Adams and Meryl Streep

Amy Adams and Meryl Streep
at premiere of Doubt

Janet Burroway's 'Writing Fiction: A Guide to Narrative Craft,' fifth edition, with I Ching coins on cover

Above:
Craft, 1999

"The matron had given her
leave to go out as soon as
     the women's tea was over...."

-- James Joyce, "Clay"

"Ite, missa est."


Sunday, May 24, 2009  2:45 AM

Quarter to Three, continued:

One More for the Road

"Angel eyes that old Devil sent,
they glow unbearably bright...."

-- Sinatra


Saturday, May 23, 2009  1:00 PM

Quarter-Century of Doom:

Indiana Jones and the
Temple of Doom


'Indiana Jones and the Temple of Doom' poster


25 years ago today--

 Release Date:
23 May 1984 (USA)

Plot:
"After arriving in India,
Indiana Jones is asked
by a desperate village
      to find a mystical stone...."


Friday, May 22, 2009  9:29 AM

Design Theory --

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.


Thursday, May 21, 2009  8:00 PM

Angels & Demons, continued:

For Robert Langdon:

Diamonds
 
Diamonds for the birthday of Durer (and, allegedly, of Plato)


Thursday, May 21, 2009  8:28 AM

Mental Health Month continues:

Die
 
 Cast:

'Die,' by Tony Smith Die (Tony Smith)

Episcopal Bishop Paul Moore, Jr.

Paul Moore, Jr., retired Episcopal Bishop of New York, who died at home at 83 on the First of May, 2003

From "Secondary Structures," by Tom Moody, Sculpture Magazine, June 2000:

"By the early '90s, the perception of Minimalism as a 'pure' art untouched by history lay in tatters. The coup de grâce against the movement came not from an artwork, however, but from a text. Shortly after the removal of Richard Serra's Tilted Arc from New York City's Federal Plaza, Harvard art historian Anna Chave published 'Minimalism and the Rhetoric of Power' (Arts Magazine, January 1990), a rousing attack on the boys' club that stops just short of a full-blown ad hominem rant. Analyzing artworks (Walter de Maria's aluminum swastika, Morris's 'carceral images,' Flavin's phallic 'hot rods'), critical vocabulary (Morris's use of 'intimacy' as a negative, Judd's incantatory use of the word 'powerful'), even titles (Frank Stella's National Socialist-tinged Arbeit Macht Frei and Reichstag), Chave highlights the disturbing undercurrents of hypermasculinity and social control beneath Minimalism's bland exterior.  Seeing it through the eyes of the ordinary viewer, she concludes that 'what [most] disturbs [the public at large] about Minimalist art may be what disturbs them about their own lives and times, as the face it projects is society's blankest, steeliest face; the impersonal face of technology, industry and commerce; the unyielding face of the father: a face that is usually far more attractively masked.'"

For a more attractively masked father figure, see the Terminator series:

Father figure from the Terminator series

For further religious background,
see "Jesus and the Terminator"
in Christianity Today.


Wednesday, May 20, 2009  4:00 PM

The Diamond Connection:

From Quilt Blocks to the
Mathieu Group
M24

Diamonds

(a traditional
quilt block):

Illustration of a diamond-theorem pattern

Octads:

Octads formed by a 23-cycle in the MOG of R.T. Curtis

Click on illustrations for details.

The connection:

The four-diamond figure is related to the finite geometry PG(3,2). (See "Symmetry Invariance in a Diamond Ring," AMS Notices, February 1979, A193-194.) PG(3,2) is in turn related to the 759 octads of the Steiner system S(5,8,24). (See "Generating the Octad Generator," expository note, 1985.)

The relationship of S(5,8,24) to the finite geometry PG(3,2) has also been discussed in--
Abstract: "The Steiner system S(4,7,23) is constructed from the geometry of PG(3,2)."
Abstract: "The Steiner system S(5,8,24) is constructed from the geometry of PG(3,2)."
For the connection of S(5,8,24) with the Mathieu group M24, see the references in The Miracle Octad Generator.


Tuesday, May 19, 2009  7:20 PM

Design Theory:

Exquisite Geometries

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."

-- "Block Designs," 1995, by Andries E. Brouwer

"The Steiner system S(5, 8, 24) is a set S of 759 eight-element subsets ('octads') of a twenty-four-element set T such that any five-element subset of T is contained in exactly one of the 759 octads. Its automorphism group is the large Mathieu group M24."

-- The Miracle Octad Generator (MOG) of R.T. Curtis (webpage)

"... in 1861 Mathieu... discovered five multiply transitive permutation groups.... In a little-known 1931 paper of Carmichael... they were first observed to be automorphism groups of exquisite finite geometries."

-- William M. Kantor, 1981

The 1931 paper of Carmichael is now available online from the publisher for $10.


Sunday, May 17, 2009  10:00 PM

Annals of Symbology:

The Sign of the
Double Cross


Scott Carnahan at Secret Blogging Seminar, December 14, 2007:
"... my advisor once told me, 'If you ever find yourself drawing one of those meaningless diagrams with arrows connecting different areas of mathematics, it’s a good sign that you’re going senile.'"
Steven Cullinane at Log24, May 19, 2004:

Eight-point diamond-theory star, May 19, 2004

Google search, May 17, 2009:

Eight-point star of Google diamond-theorem search, May 17, 2009

Related material:

Log24, Feb. 16, 2008


Sunday, May 17, 2009  7:59 AM

Today's Sermon:

Design Theory

Laura A. Smit, Calvin College, "Towards an Aesthetic Teleology: Romantic Love, Imagination and the Beautiful in the Thought of Simone Weil and Charles Williams"--
"My work is motivated by a hope that there may be a way to recapture the ancient and medieval vision of both Beauty and purpose in a way which is relevant to our own century. I even dare to hope that the two ideas may be related, that Beauty is actually part of the meaning and purpose of life."
Hans Ludwig de Vries, "On Orthogonal Resolutions of the Classical Steiner Quadruple System SQS(16)," Designs, Codes and Cryptography Vol. 48, No. 3 (Sept. 2008) 287-292 (DOI 10.1007/s10623-008-9207-5)--
"The Reverend T. P. Kirkman knew in 1862 that there exists a group of degree 16 and order 322560 with a normal, elementary abelian, subgroup of order 16 [1, p. 108]. Frobenius identified this group in 1904 as a subgroup of the Mathieu group M24 [4, p. 570]...."
1. Biggs N.L., "T. P. Kirkman, Mathematician," Bulletin of the London Mathematical Society 13, 97–120 (1981).

4. Frobenius G., "Über die Charaktere der mehrfach transitiven Gruppen," Sitzungsber. Königl. Preuss. Akad. Wiss. zu Berlin, 558–571 (1904). Reprinted in Frobenius, Gesammelte Abhandlungen III (J.-P. Serre, editor), pp. 335–348. Springer, Berlin (1968).
Olli Pottonen, "Classification of Steiner Quadruple Systems" (Master's thesis, Helsinki, 2005)--
"The concept of group actions is very useful in the study of isomorphisms of combinatorial structures."
Olli Pottonen,  'Classification of Steiner Quadruple Systems'

"Simplify, simplify."
-- Thoreau

"Beauty is bound up
with symmetry."
-- Weyl

Sixteen points in a 4x4 array

Pottonen's thesis is
 dated Nov. 16, 2005.

For some remarks on
images and theology,
see Log24 on that date.

Click on the above image
 for some further details.