Log24

Tuesday, July 31, 2012

Happy Birthday, J. K. Rowling

Filed under: General — Tags: — m759 @ 10:31 pm

IMAGE- Google Book Search for 'Malcom Lowry' + 'thinking of treadmills'

See also a July 19 death, this journal on that date, and
Down the Up Staircase.

Logo

Filed under: General,Geometry — Tags: , , — m759 @ 2:18 pm

IMAGE- 'Yankee Puzzle' quilt block pattern on cover of Northrop Frye's 'Anatomy of Criticism'

On Universals and
A Passage to India
 :
 
"The universe, then, is less intimation
than cipher: a mask rather than a revelation
in the romantic sense. Does love meet with love?
Do we receive but what we give? The answer is
surely a paradox, the paradox that there are
Platonic universals beyond, but that the glass
is too dark to see them. Is there a light beyond
the glass, or is it a mirror only to the self?
The Platonic cave is even darker than Plato
made it, for it introduces the echo, and so
leaves us back in the world of men, which does
not carry total meaning, is just a story of events."
 
– Betty Jay, reader's guide to A Passage to India

http://www.log24.com/log/pix08/080413-Marabar.jpg

Judy Davis in the Marabar Caves

The above image is from this journal on Sunday, April 13, 2008.

The preceding cover of a book by Northrop Frye was suggested
by material in this journal from February 2003.

See also Yankee Puzzle and Doodle Dandy.

Monday, July 30, 2012

Logos

Filed under: General — m759 @ 10:48 pm

Related material:

Frank J. Prial on the late singer Tony Martin

— and, on Jan. 1, 2005, on beverage marketing:

Every picture tells a story.

Happy birthday to Hilary Swank.

Geometry and Death

Filed under: General,Geometry — m759 @ 2:23 pm

(Continued)

A Necessary Truth—

James Singer, "A Theorem in Finite Projective Geometry
and Some Applications to Number Theory," Transactions
of the American Mathematical Society  
43 (1938), 377-385.

A Contingent Truth—

Singer Tony Martin reportedly died Friday evening, July 27, 2012.

In his memory, some references to a "Singer 7-Cycle."

See also this journal 7 years prior to Martin's death.

Something to Read

Filed under: General,Geometry — m759 @ 1:00 pm

(Continued)

Eric M. Friedlander, President of the
American Mathematical Society (AMS),
in the March 2011 AMS Notices 

"I think the best thing the AMS does by far is the Notices .
It could easily be in all doctors’ and dentists’ offices."

Notices : "Really?"

Friedlander: "It could be."

Related material from this journal:

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

Is it safe?"

 Annals of Art Education: 
     Geometry and Death

Unnecessary* Truth?

Filed under: General — m759 @ 12:26 pm

"There is no question about what arithmetic is for
or why it is supported. Society cannot proceed
without it. Addition, subtraction, multiplication,
division, percentages: though not all citizens can
deal fluently with all of them, we make the
assumption that they can when necessary.
Those who cannot are sometimes at a disadvantage.

Algebra, though, is another matter."

— Underwood Dudley in the Notices of the
American Mathematical Society
, May 2010
:
"What Is Mathematics For?" 

A less nuanced remark from the American
Mathematical Society (AMS) today—

"The answer to the recent Op-Ed piece
in The New York Times  entitled
'Is Algebra Necessary?'
is resoundingly YES!"

— Eric Friedlander, AMS president

* A review of philosophical terminology—

"The distinction between necessary truth
and contingent truth is a version of Leibniz 's 
distinction between truths of reason and truths
of fact. A necessary truth must be true and
could not be false, whatever way the world is. 
It is true in itself. A contingent truth, on the other 
hand, depends upon the empirical world and might 
have been false had the world been different." 

— The Blackwell Dictionary of Western Philosophy

Sunday, July 29, 2012

The Galois Tesseract

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

(Continued)

The three parts of the figure in today's earlier post "Defining Form"—

IMAGE- Hyperplanes (square and triangular) in PG(3,2), and coordinates for AG(4,2)

— share the same vector-space structure:

   0     c     d   c + d
   a   a + c   a + d a + c + d
   b   b + c   b + d b + c + d
a + b a + b + c a + b + d   a + b + 
  c + d

   (This vector-space a b c d  diagram is from  Chapter 11 of 
    Sphere Packings, Lattices and Groups , by John Horton
    Conway and N. J. A. Sloane, first published by Springer
    in 1988.)

The fact that any  4×4 array embodies such a structure was implicit in
the diamond theorem (February 1979). Any 4×4 array, regarded as
a model of the finite geometry AG(4, 2), may be called a Galois tesseract.
(So called because of the Galois geometry involved, and because the
16 cells of a 4×4 array with opposite edges identified have the same
adjacency pattern as the 16 vertices of a tesseract (see, for instance,
Coxeter's 1950 "Self-Dual Configurations and Regular Graphs," figures
5 and 6).)

A 1982 discussion of a more abstract form of AG(4, 2):

Source:

The above 1982 remarks by Brouwer may or may not have influenced
the drawing of the above 1988 Conway-Sloane diagram.

Defining Form

Filed under: General,Geometry — Tags: , — m759 @ 2:00 pm

IMAGE- Hyperplanes (square and triangular) in PG(3,2), and coordinates for AG(4,2)

Background: Square-Triangle Theorem.

For a more literary approach, see "Defining Form" in this journal
and a bibliography from the University of Zaragoza.

Saturday, July 28, 2012

Claremont Review

Filed under: General — Tags: — m759 @ 3:00 pm

On painter Karl Benjamin of Claremont, California,
who reportedly died on Thursday

He played them music
and everything was concentrated and timeless
and all were artists 'til the bell rang.

Another remark from Claremont—

"'Once upon a time' used to be a gateway to
a land that was inviting precisely because
it was timeless, like the stories it introduced
and their ageless lessons about the human condition."

– Dorothea Israel Wolfson, 
   Claremont Review of Books, Summer 2006

Benjamin was a professor emeritus at Pomona College.

Hey

Filed under: General — m759 @ 12:00 pm

The end of the beginning of the London Games 
suggests other games —

Shadows (July 14) —

IMAGE- G. H. Hardy around 1900, strongly resembling Paul McCartney

A Game of Shadows — "You know my methods."

Related religious material —

The Feast of Saint  Jude,  2011.

Friday, July 27, 2012

Olympics Special

Filed under: General,Geometry — Tags: — m759 @ 7:20 pm

Quoted in some remarks yesterday on geometry—

IMAGE- Eric Temple Bell on 'Solomon's Seal' as a 'highly special topic'

From posts linked to this morning—

IMAGE- 'Jewel in the Crown'- MAA version of the Crown of Geometry

The Source— 

IMAGE- Coxeter as King of Geometry

Raiders of the Lost Ring

Filed under: General,Geometry — Tags: , , , — m759 @ 11:30 am

Wikipedia on a magical ring

IMAGE- Wikipedia article, 'Seal of Solomon'

Background—  The Ring and the Stone, a story linked to here Wednesday.

"By then he was familiar with the work of the Vienna Actionists….
He once said that he had his first taste of the movement
when he heard the screams of his mother’s dental patients
from her office next door to the family’s apartment."

Obituary of a Viennese artist who reportedly died Wednesday

"Is it safe?"

Thursday, July 26, 2012

Solomon’s Seal

(Mathematics and Narrative, continued)

Narrative—

The Ring and The Stone from yesterday's post, and…

"In Medieval Jewish, Christian and Islamic legends,
the Seal of Solomon was a magical signet ring
said to have been possessed by King Solomon…."

— Wikipedia article, Seal of Solomon

Mathematics—

IMAGE- Eric Temple Bell on the mathematics of 'Solomon's Seal' (in his 'Development of Mathematics')

A fact related to the mathematical
"Solomon's seal" described above by Bell:

IMAGE- J.W.P. Hirschfeld on the mathematics of 'Solomon's Seal', with reference to Edge on the same topic

The reference to Edge is as follows—

[3] Edge, W. L., Quadrics over GF(2) and
their relevance for the cubic surface group
,
Canadian J. Maths. 11 (1959) ….

(This reference relates Hirschfeld's remarks
quoted above to the 64-point affine space
illustrated below (via the associated
63-point projective  space PG (5, 2)).

As for the narrative's Stone… 

See Solomon's Cube.

IMAGE- 'Solomon's Cube'

Wednesday, July 25, 2012

Tale

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

The Ring and the Stone

Tuesday, July 24, 2012

Biograph

Filed under: General — m759 @ 11:30 am

(Continued from July 22)

IMAGE- 'Follow the Ring' note from the film 'Inside Man'

Manhattan, July 22, 2012 — "Once upon a time, in a quiet corner
of the Middle East, there lived a shepherd named Gyges.  Despite
the hardships in his life Gyges was relatively satisfied with his meager
existence. Then, one day, he found a ring buried in a nearby cave."
Read more…

Joker

Filed under: General — m759 @ 9:48 am

"I want you on the Swansea lathe today."
— Boss of the Christ figure in "The Machinist" (2004)

Related material in this journal—

Dylan Thomas and Modern Times

Time and Date

Filed under: General — m759 @ 1:30 am

IMDb trivia page on "The Machinist" (2004)—

"The time of 1:30 AM is significant throughout the movie.
Trevor often notices something out of the ordinary at this time.
During the 1 hour 30 minute mark in the movie,
the major plot twist is revealed."

As for the date  1/30… See Tolkien on telepathy.

(Backstory: The Gospel According to Father Hardon )

A Reappearing Number

Filed under: General — m759 @ 12:31 am

(Continued)

Part I:

Christian Bale as a Spanish Christ-parody in "The Machinist" (2004)

Part II:

"The expression 'the devil is in the details'
is turned on its head in the exhibit 'The Sacred Made Real'
at Washington's National Gallery of Art…." 
Catholic News Service, 2010

Part III:

Tonight's New York Times  obituaries

Part IV:

"My goodness, there must be a hole in this glass."
— Maria in "The Machinist" (2004)

Monday, July 23, 2012

In Memoriam

Filed under: General — m759 @ 9:00 pm

Wilson Pickett and the Holy…

IMAGE- Triangular logo of the NASA Gravity Recovery and Interior Laboratory

L'Chaim

23 Puzzle

Filed under: General — m759 @ 12:48 pm

For those who like puzzles—

What film's page at IMDb recommends
the following "also liked" choices?

The Interpreter (2005), Identity (2003), The Game (1997),
The Ghost Writer (2010), The Machinist (2004), The Number 23 (2007)

A similar puzzle: Related Books

Manchurian Symphony

Filed under: General — m759 @ 12:00 pm

"Always with a little humor"
— Manchurian Candidate

"Sound of a Theorem"

In Memoriam

Ding

Sunday, July 22, 2012

Art Wars

Filed under: General,Geometry — Tags: — m759 @ 9:16 pm

For art collector Herbert Vogel,
who reportedly died today

IMAGE- Herbert Vogel with abstract half-circle art in 1978

Philip Kennicott in The Washington Post , July 3, 2009— 

"The Vogels help allay deep cultural fears
within the art world— fears that art is elitist,
or some kind of confidence game,
or not a serious endeavor (a fear that has
dogged art since at least the time of Plato)."

Some related material from finitegeometry.org,
offered without comment—

IMAGE- 1975 half-circle art by Cullinane based on work in 1960s by Swiss artist Paul Talman

Biograph

Filed under: General — m759 @ 10:01 am

"One ring to bring them all…"
— J. R. R. Tolkien, Catholic author

Today in History, July 22, by The Associated Press—

"In 1934, bank robber John Dillinger was shot to death
by federal agents outside Chicago's Biograph Theater,
where he had just seen the Clark Gable movie
'Manhattan Melodrama.'"

From a  Manhattan Melodrama

"Follow the Ring" 

Piatigorsky died on Sunday, July 15. Notes in this  journal from that date—

Backstory—

Saturday, July 21, 2012

Republican

Filed under: General — m759 @ 8:25 pm

Colin Moynihan on the late Alexander Cockburn

"His attachment to left-wing journalism— and controversy—
was forged very early on. His father, Claud Cockburn, while
covering the Spanish Civil War for The Daily Worker , joined
the Republican forces fighting the rebellion of Francisco
Franco. (Claud Cockburn, under a pseudonym, also wrote
novels, including Beat the Devil , which was made into a
film with Humphrey Bogart and which his son used as the
title of his column in The Nation .)"

A video linked to in this evening's earlier post suggests
an antidote to the film oeuvre  of Guillermo del Toro—
in particular, to Pan's Labyrinth.

IMAGE- Google sidebar on 'Pan's Labyrinth' director

Ticket

Filed under: General — m759 @ 7:00 pm

For a leftist who wrote well

Here's your ticket, pack your bags,
            time for jumpin' overboard 
Transportation is here 

Talking Heads lyric

Photo Opportunity

Filed under: General — m759 @ 10:21 am

The New York Times  online front page
update of 10:11 this morning provides
a sort of antidote to Saturday morning
cartoons.

The update's time suggests a check
of this  journal's most recent post
with the date  10/11. It turns out
to be a meditation on art and
the speed of perception.

Related material:

A linked-to post, Twenty-Four.

Saturday Morning Cartoon

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

"A Saturday morning cartoon is the colloquial term
for the animated television programming that has
typically been scheduled on Saturday mornings
on the major American television networks from
the 1960s to the present…." —Wikipedia

Martin Gardner in the Notices of the
American Mathematical Society 
,
June/July 2005:

“I did a column in Scientific American 
on minimal art, and I reproduced one of
Ed Rinehart’s [sic ] black paintings. 
Of course, it was just a solid square of
pure black.”

Black square 256x256

Click on picture for details.

For a cartoon graveyard

IMAGE- LA Times obits for two Saturday Night Live writers

Friday, July 20, 2012

Speaking the Unspeakable

Filed under: General — m759 @ 4:28 pm
 
http://www.latimes.com/news/politics/
la-pn-romney-colorado-shooting-is-
unspeakable-tragedy-20120720,0,1226295.story 

Romney: Colorado shooting is 'unspeakable tragedy'

By Seema Mehta 
July 20, 2012, 11:15 a.m.


BOW, N.H.—Hours after a shooter killed a dozen people
in a Colorado cinema, Mitt Romney scrubbed a scheduled
campaign rally Friday and instead offered his somber
condolences and prayers to the victims and their 
families.

“Our hearts break with the sadness of this unspeakable
tragedy. Ann and I join the president and first lady
and all Americans in offering our deepest condolences
to those whose lives were shattered in a few moments, 
a few moments of evil in Colorado,” Romney told a few
hundred people gathered at a lumber yard here.

“I stand before you today not as a man running for 
office but as a father and grandfather, a husband, an
American. This is a time for each of us to look into 
our hearts and remember how much we love one another 
and how much we love and how much we care for our great
country. There’s so much love and goodness in the heart
of America.”

Romney, wearing a navy blue suit and blue tie, spoke
for four minutes. The trademark campaign banners with
slogans such as “Believe in America” or “Obama’s Upside-
Down Economy” were gone, leaving a handful of American
flags as the backdrop. Before Romney spoke, Father 
Christian Tutor, an Anglican Catholic priest, led a 
prayer. ...


Caped Crusader

I Mean, Seriously…

Filed under: General — m759 @ 8:00 am

See also related juvenile humor, as well as Aurora in this  journal.

Thursday, July 19, 2012

But Seriously…

Filed under: General — m759 @ 9:00 pm

For those who prefer fiction:

"Many Dimensions  (1931) — An evil antiquarian illegally purchases
the fabled Stone of Suleiman (Williams uses this Muslim form
rather than the more familiar King Solomon) from its Islamic guardian
in Baghdad and returns to England to discover not only that the Stone
can multiply itself infinitely without diminishing the original, but that it
also allows its possessor to transcend the barriers of space and time."

Wikipedia article on the author Charles Williams

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