Sunday, June 30, 2013

Book Award

Filed under: General,Geometry — Tags: — m759 @ 5:01 PM

"What on earth is
a 'concrete universal'?

— Said to be an annotation
(undated) by Robert M. Pirsig
of A History of Philosophy ,
by Frederick Copleston,
Society of Jesus.

In the spirit of the late Thomas Guinzburg

See also "Concrete Universal" in this journal.

Related material— From a Bloomsday reply
to a Diamond Theory  reader's comment, an excerpt—

The reader's comment suggests the following passages from
the book by Stirling quoted above—


Here Stirling plays a role analogous to that of Professor Irwin Corey
accepting the National Book Award for Gravity's Rainbow  in 1974.

Saturday, June 29, 2013

Thursday, June 27, 2013

Stevens’s Elegy

Filed under: General — m759 @ 1:29 PM

"These are death's own supremest images,
 The pure perfections of parental space"

— Wallace Stevens,
    "The Owl in the Sarcophagus"


Filed under: General — m759 @ 5:45 AM

From O Marks the Spot, Jill St. John's birthday, 2012:

"Row, row, row your boat"

"A kind of liturgical singsong" — John Leonard on Didion

Wednesday, June 26, 2013


Filed under: General,Geometry — Tags: — m759 @ 10:10 AM

“I could a tale unfold whose lightest word
Would harrow up thy soul….

— Hamlet’s Father’s Ghost

The results of a search in this journal for “a tale unfold” suggest
a review of the following passage from Donna Tartt’s Secret History

A math weblog discussed this passage on January 24, 2013.
For related alliances, see this  weblog on that same date.

Tuesday, June 25, 2013

Sunset Ltd.

Filed under: General — m759 @ 8:31 PM

Sunset in Manhattan today is at 8:31 PM.
Connoisseurs of ambiguity may consult the 
date  8/31 in this journal.

Lexicon (continued)

Filed under: General,Geometry — m759 @ 7:20 PM

Online biography of author Cormac McCarthy—

" he left America on the liner Sylvania, intending to visit
the home of his Irish ancestors (a King Cormac McCarthy
built Blarney Castle)." 

Two Years Ago:

Blarney in The Harvard Crimson

Melissa C. Wong, illustration for "Atlas to the Text,"
by Nicholas T. Rinehart:

Thirty Years Ago:

Non-Blarney from a rural outpost—

Illustration for the generalized diamond theorem,
by Steven H. Cullinane: 

See also Barry's Lexicon .

Happy Anti-Christmas

Filed under: General — m759 @ 2:00 PM

"Maybe birthdays are dangerous. Like Christmas."

— Cormac McCarthy, The Sunset Limited

Big Rock

Filed under: General — Tags: — m759 @ 1:00 PM

From the LA Times  online obituaries today:

Michael Feran Baigent was born in Nelson, New Zealand,
in 1948. After graduating from New Zealand's University
of Canterbury with a degree in psychology, he worked as a
photographer and magazine editor in Australia, New
Zealand and Spain before taking up research for a
documentary called "The Shadow of the Templars."

From 1998 he lectured on and led tours of the temples and
tombs in Egypt, and from 2001 he was editor of the
magazine "Freemasonry Today."

Elliott Reid

Longtime film, TV actor with a comic touch

Elliott "Ted" Reid, 93, a longtime character actor in films
and on television, stage and radio who played opposite
Marilyn Monroe and Jane Russell in the classic comedy
"Gentlemen Prefer Blondes," died Friday [June 21, 2013]
in Studio City, said his nephew Roger R. Jackson.

From a post last Saturday, June 22, and the earlier
​post last Friday, June 21, that preceded it:

The Eliade passage was quoted in a 1971 Ph.D. thesis
on Wallace Stevens.

Some context— Stevens's Rock in this journal.

Friday, June 21, 2013


Filed under: Uncategorized — m759 @ 1:00 PM

From the final pages of the new novel
Lexicon , by Max Barry: 

"… a fundamental language
of the human mind— 
the tongue in which the human animal 
speaks to itself at the basest level. 
The machine language, in essence…."

"… the questions raised by 
this underlying lexicon
What are its words? 
How many are there? ….
Can we learn to speak them?
What does it sound like 
when who we are is expressed
in its most fundamental form? 
Something to think about."

       R. Lowell

See also, in this journal, Big Rock.

Monday, June 24, 2013

What Dreams

Filed under: General,Geometry — Tags: — m759 @ 10:00 PM

“For in that sleep of death what dreams may come
When we have shuffled off this mortal coil,
Must give us pause.” — Hamlet

Sleep well, Mr. Matheson.

Sunday, June 23, 2013

Random Dudes

Filed under: General — m759 @ 10:00 PM

Here is the link to an MIT Scratch project from the above comment.

See also a comment by a Random Norwegian Dude:

For related art, see 
"4D AMBASSADOR (HYPERCUBE)" for Steven H. Cullinane
by the Norwegian artist Josefine Lyche.


Filed under: General — Tags: — m759 @ 10:00 AM

IMAGE- NY Times- 'Saloon Priest' and Dan Brown

IMAGE- Alyssa Milano as a child, with fork

"When you come to 
a fork in the road, take it."
— Yogi Berra

See also Deconstructing Alice.

Saturday, June 22, 2013

Modes of Being

Filed under: General — m759 @ 10:00 PM

From today's earlier post, Stevens and the Rock

"Rock shows him something that transcends
the precariousness of his humanity:
an absolute mode of being.
Its strength, its motionlessness, its size
and its strange outlines
are none of them human;
they indicate the presence of something
that fascinates, terrifies, attracts and threatens,
all at once."

— Mircea Eliade, Patterns in Comparative Religion  (1958)

An object with such an "absolute mode of being"
is the plot center of a new novel discussed here previously
Max Barry's Lexicon . From a perceptive review:

I believe he’s hit on something special here.
It’s really no surprise that Matthew Vaughn
of Kick-Ass  and X-Men: First Class  fame
has bought the rights to maybe make the movie;
Lexicon  certainly has the makings of a fine film.

Or graphic  novel  Whatever.

Kitty in Uncanny X-Men #168 (April 1983)

Stevens and the Rock

Filed under: General — Tags: — m759 @ 12:00 PM

Passage quoted in A Philosopher's Stone (April 4, 2013)—

This passage from Heidegger suggested the lexicon excerpt on
to hypokeimenon  (the underlying) in yesterday's post Lexicon.

A related passage:

The Eliade passage was quoted in a 1971 Ph.D. thesis
on Wallace Stevens.

Some context— Stevens's Rock in this journal.

Friday, June 21, 2013


Filed under: General — Tags: — m759 @ 1:00 PM

From the final pages of the new novel
Lexicon , by Max Barry:

“… a fundamental language
of the human mind—
the tongue in which the human animal
speaks to itself at the basest level.
The machine language, in essence….”

“… the questions raised by
this underlying lexicon.
What are its words?
How many are there? ….
Can we learn to speak them?
What does it sound like
when who we are is expressed
in its most fundamental form?
Something to think about.”

       R. Lowell

Related material:

IMAGE- Hypokeimenon in Liddell and Scott's Greek-English Lexicon

“… the clocks were striking thirteen.” — 1984

Thirty Years Ago

Filed under: General,Geometry — Tags: — m759 @ 4:00 AM

Thursday, June 20, 2013

ART WARS: Chesterton Thursday

Filed under: General,Geometry — Tags: — m759 @ 8:00 PM

The New York Times  philosophy column "The Stone"
last evening had an essay on art by a sarcastic anarchist,
one Crispin Sartwell

"… whole generations of art lovers have been
trained in modernist dogma, and arts institutions’
access to various forms of state or foundation
support depend on it completely. One goes to
the museum to gasp at stunning works of
incomparable, super-human genius by beings
who are infinitely more exalted and important
than the mere humans staring at their paintings.
That’s why ordinary people staring at a Picasso
(allegedly) experience a kind of transcendence
or re-articulation of their lives and world."

 Cubism Re-Articulated:

  Click image for some backstory.

(IMAGE: Walter Gropius and Froebel's Third Gift,
from a Google image search today)

Background: Cubism in this journal and
Pilate Goes to Kindergarten.

Related material: Chesterton + Thursday in this journal.

Looking for Mr. Sidebar

Filed under: General — m759 @ 10:30 AM

Clue from yesterday:  "ganz links das Kirchlein "

Related material:  google.com/search?q="bruno+ganz"

Wednesday, June 19, 2013


Filed under: General — Tags: — m759 @ 11:09 PM

See Juneteenth in this journal.

For related meditations, see last October 27th.


Filed under: General — Tags: — m759 @ 10:27 PM

Ein Eck

Filed under: General,Geometry — Tags: , — m759 @ 9:29 PM

"Da hats ein Eck" —

"you've/she's (etc.) got problems there"

St. Galluskirche:

St. Gallus's Day, 2012:

Click image for a St. Gallus's Day post.

A related problem: 

Discuss the structure of the 4x4x4 "magic" cube
sent by Pierre de Fermat to Father Marin Mersenne
on April 1, 1640, in light of the above post.


Filed under: General — Tags: — m759 @ 9:10 AM


Midnight in the Garden

Filed under: General — Tags: — m759 @ 12:00 AM


See Robert Hughes in this journal.

Tuesday, June 18, 2013


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

IMAGE- 'Lexicon,' a novel by Max Barry published June 18, 2013

This journal on May 14, 2013:

IMAGE- Valéry on ornament in 'Method of Leonardo,' with Valéry's serpent-and-key emblem

"And let us finally, then, observe the
parallel progress of the formations of thought
across the species of psychical onomatopoeia
of the primitives, and elementary symmetries
and contrasts, to the ideas of substances,
to metaphors, the faltering beginnings of logic,
formalisms, entities, metaphysical existences."

— Paul Valéry, Introduction to the Method of
    Leonardo da Vinci

But first, a word from our sponsor


Filed under: General,Geometry — Tags: — m759 @ 4:48 PM


For those who prefer Trudeau's
"Story Theory" of truth to his "Diamond Theory"

IMAGE- Janet Maslin's review of Max Barry's novel 'Lexicon'

Related material: Click images below for the original posts.

See as well the novel  "Lexicon" at Amazon.com 
and the word  "lexicon" in this journal.

Monday, June 17, 2013

Savior for Atheists

Filed under: General — m759 @ 7:17 PM

"Man of Steel  is subversive mythology for atheists
that exalts a Superman who behaves the way they
think God should but doesn’t."

— Jeff Jensen, "Why the Superman of 'Man of Steel'
is the Jesus we wish Jesus would be," 
Entertainment Weekly  this afternoon

"He's a bird, he's a plane He's our savior?"

— Nicole Sperling, "'Man of Steel's' Christian link,"
Los Angeles Times  this afternoon

Elsewhere on the Web today:

IMAGE- Google sidebar: John Baez as superhero

See also Baez in this journal.

Group of Eight*

Filed under: General — m759 @ 12:00 PM

"Everything's coming up Snow White."

— Anne Billson, May 14, 2013

For Charlize:

"Snow, Glass, Apples," by Neil Gaiman

* See Saturday's post At the Still Point

Sunday, June 16, 2013

Mathematical Review

Filed under: General,Geometry — m759 @ 10:00 PM

From a weblog post on June 11, 2013, by one Pete Trbovich:

Diamond Theory

Here again, I don't think Steven Cullinane is really unhinged per se. At the very least, his geometric study is fun to play with, particularly when you find this toy. And I'm not really sure that anything he says is wrong per se. But you might find yourself asking "So what?" or more to the point, "Why is this supposed to be the central theory to explaining life, the universe, and everything?"

It isn't  supposed to be such a theory.
I do not know why Trbovich thinks it is 

— Steven H. Cullinane

Update of 11 PM June 16:

For one such central theory of everything, see
the I Ching .  Diamond theory is, unlike that
Chinese classic, pure mathematics, but the larger
of the binary-coordinate structures  it is based on
are clearly isomorphic, simply as structures , to
the I Ching 's 
64 hexagrams.

Make of this what you will.


Filed under: General — m759 @ 10:10 AM

Bloomsday 2010.

Sunday School

Filed under: General — m759 @ 9:00 AM

Medium Man in February

(Phrase quoted here June 19, 2010)

Saturday, June 15, 2013

At the Still Point

Filed under: General — m759 @ 1:05 PM

(Continued from yesterday's posts, "Object of Beauty"
and "Amy's Shadow")

A winner of a Nobel Prize for X-ray crystallography stands
at the head of the New York Times  obituary list today.

In memoriam —

X-Ray Vision

"Crystal Engineering in Kindergarten," by Bart Kahr:

"If the reader is beginning to suspect that Froebel’s
philosophy of spiritual crystallography is sometimes
incoherent I can confirm that this is so…."

Click images for some backstories.

Some further background:

The Times  follows yesterday's egregious religious error
with an egregious scientific error:

"The technique developed by Dr. Karle and Herbert A. Hauptman,
called X-ray crystallography, is now routinely used by scientists…."

Karle was reportedly born in 1918, Hauptman in 1917.

Wikipedia on the history of X-ray crystallography:

"The idea that crystals could be used as a 
diffraction grating for X-rays arose in 1912…."

The Nobel Foundation:

"The Nobel Prize in Physics 1914 was awarded to
Max von Laue 'for his discovery of the diffraction of
X-rays by crystals.'"

"The Nobel Prize in Physics 1915 was awarded jointly to
Sir William Henry Bragg and William Lawrence Bragg 
'for their services in the analysis of crystal structure
by means of X-rays.'"

Friday, June 14, 2013

Amy’s Shadow

Filed under: General — Tags: , — m759 @ 2:18 PM

Why knows what evil lurks…? — The Shadow

Backstory: "Amy Adams" + Shadow in this journal.

Related material —

Amy Adams as Lois Lane:

In the new Amy Adams version, Superman's Smallville mom
is played by Diane  Lane.

Lane also played George Reeves's sugar mommy
in the 2006 film Hollywoodland .

Ben Affleck and Diane Lane at the 2006 Venice Film Festival
premiere of  Hollywoodland :

See, too, today's previous post, and Amy Adams as Lacey Yeager
in the yet-to-be-made film version of An Object of Beauty .

Object of Beauty

Filed under: General,Geometry — Tags: , , — m759 @ 2:01 AM

This journal on July 5, 2007 —

The Eightfold Cube and its Inner Structure

“It is not clear why MySpace China will be successful."

— The Chinese magazine Caijing  in 2007, quoted in
Asia Sentinel  on July 12, 2011

This  journal on that same date,  July 12, 2011 —


See also the eightfold cube and kindergarten blocks
at finitegeometry.org/sc.

Friedrich Froebel, Froebel's Chief Writings on Education ,
Part II, "The Kindergarten," Ch. III, "The Third Play":

"The little ones, who always long for novelty and change,
love this simple plaything in its unvarying form and in its
constant number, even as they love their fairy tales with
the ever-recurring dwarfs…."

This journal, Group Actions, Nov. 14, 2012:

"Those who insist on vulgarizing their mathematics
may regard linear and affine group actions on the eight
cubes as the dance of  Snow White (representing (0,0,0))
and the Seven Dwarfs—


Edwin M. Knowles Fine China Company, 1991

Thursday, June 13, 2013


Filed under: General — m759 @ 3:11 PM

"Art historians often speak of
the 'moving' or 'shifting' perspective
in Chinese paintings."

Jan Krikke, undated article

"Security issues are very tough to figure out."

— Gail Collins on June 7 

See also Figurism at Wikipedia and June 8 here.

Meanwhile (update of 3:55 PM ET June 13)


Filed under: General,Geometry — Tags: , , — m759 @ 2:13 PM

“Eight is a Gate.” — Mnemonic rhyme

Today’s previous post, Window, showed a version
of the Chinese character for “field”—

This suggests a related image

The related image in turn suggests

Unlike linear perspective, axonometry has no vanishing point,
and hence it does not assume a fixed position by the viewer.
This makes axonometry ‘scrollable’. Art historians often speak of
the ‘moving’ or ‘shifting’ perspective in Chinese paintings.

Axonometry was introduced to Europe in the 17th century by
Jesuits returning from China.

Jan Krikke

As was the I Ching.  A related structure:


Filed under: General — Tags: — m759 @ 6:48 AM

From Jim Holt’s Aug. 29, 2008, review of
The Same Man:
George Orwell and Evelyn Waugh in Love and War

by David Lebedoff

“Orwell thought ‘good prose is like a window pane,’
forceful and direct. Waugh was an elaborate stylist
whose prose ranged from the dryly ironical to the
richly ornamented and rhetorical. Orwell was solitary
and fiercely earnest. Waugh was convivial and
brutally funny. And, perhaps most important, Orwell
was a secularist whose greatest fear was the
emergence of Big Brother in this world. Waugh was
a Roman Catholic convert whose greatest hope lay
with God in the next.”

The Orwell quote is from “Why I Write.”
A search for the original yields

IMAGE- Heading data for Orwell's 'Why I Write' in Chinese weblog 'Acquisition of Sunshine'


IMAGE- Date of a Chinese weblog post: 2009-06-04


Log24 posts of 2009-06-04.

See, too, in this journal the
Chinese character for “field”

Wednesday, June 12, 2013

Brightness at Noon (continued)

Filed under: General — Tags: — m759 @ 12:00 PM

The eight parts of the semaphore circle
in the previous post suggest some context
for Fritz Leiber's eight-limb "spider" symbol:

  IMAGE- 'Eight-limbed asterisk' of Fritz Leiber (square version)

See Mary Karr,  Time on the Cross, and chuahaidong.org.


Filed under: General — m759 @ 11:15 AM

Yesterday's post The Belicic Problem suggests
a review of a Log24 post from October 29, 2007:

The extremely loose plot of Anthony Hopkins's
pet project "Slipstream" was in part inspired by
the events of 1956 in Santa Mira.

In keeping with Hopkins's strange plot logic, and
with the strange visual logic of the New York Times
editorial logo in yesterday's Santa Mira post

IMAGE- Semaphore-like logo of NY Times editorial page editor's weblog

here is a "diamond pivot bright"—

Click image for an explanation.

Tuesday, June 11, 2013

The Belicic Problem

Filed under: General — m759 @ 10:30 PM

IMAGE- NY Times opinion column on intelligence by Andrew Rosenthal

From the comments:

IMAGE- NY Times comment, apparently by mathematician Thomas Zaslavsky, in reply to comment by fictional character Jack Belicic

Click "Zaslavsky" above for some background from Binghamton.

For some background from Santa Mira, see

The Cacophony Cafe:

The story takes place in the fictional Santa Mira, California
where Dr. Miles Bennell (Kevin McCarthy) is soon overrun
by several patients claiming that their loved ones are imposters.
Thus, a panic is set off as the doctor and his friend Jack Belicic
(King Donovan) try to find the answer to the issue at the hand.
What they discover is that somehow people have been replaced
by aliens, who are incubated in pea pods, from space.

The Parser

Filed under: General — m759 @ 8:35 PM

Andrew Rosenthal on a government official
in "Taking Note," the New York Times  editorial
page editor's blog, at 3:12 PM today:

"… we are going to have to parse his meanings
of complex words like 'yes' and 'no.'"

Parse this, Rosenthal:

IMAGE- Semaphore-like logo of NY Times editorial editor's blog

For some help, do a Google image search on "semaphore."

Canticle for O’Connor

Filed under: General — m759 @ 12:00 PM

University Diaries  today has a meditation on
nothingness and the University of North Carolina.

She includes a picture by John Picacio that was done as a
cover illustration for the novel A Canticle for Leibowitz .

Related material:

A June 10 obituary for Msgr. Tim O'Connor, former rector
of Sacred Heart Cathedral in Raleigh, NC.

"To those who knew him, O’Connor’s aesthetic sense
was a defining quality. As rector at Sacred Heart Cathedral—
the seat of the bishop of Raleigh— he led a $500,000
renovation project in the late ’90s that refurbished the floors
and pews and installed art, such as painting the ceiling blue
with 14-karat gold leaf stars."

— Julian Spector — jspector@newsobserver.com

Some context:

Sermon in this journal last Sunday, June 9, which
was the reported date of Msgr. O'Connor's death.

Mary Chapin Carpenter in this journal on July 6, 2008:

Related art:

Ceiling of Raleigh's Sacred Heart Cathedral—

Some context for this  art:

From "Spider Robinson: The SF Writer as Empath"
by Ben Bova 

When Analog magazine was housed over at Graybar Building
on Lexington Avenue, our offices were far from plush. In fact,
they were grimy. Years worth of Manhattan soot clung to the
walls. The windows were opaque with grime. (What has this
to do with Spider Robinson? Patience, friend.)

Many times young science fiction fans would come to Manhattan
and phone me from Grand Central Station, which connected
underground with the good old Graybar. "I've just come to New 
York and I read every issue of Analog and I'd like to come up and
see what a science fiction magazine office looks like," they would
invariably say.

I'd tell them to come on up, but not to expect too much. My advice
was always ignored. The poor kid would come in and gape at the
piles of manuscripts, the battered old metal desks, and mountains
of magazines and stacks of artwork, the ramshackle filing cabinets 
and bookshelves. His eyes would fill with tears. His mouth would
sag open.

He had, of course, expected whirring computers, telephones with
TV attachments, smoothly efficient robots humming away, 
ultramodern furniture, and a general appearance reminiscent of a 
NASA clean room. (Our present offices, in the spanking new Condé
Nast Building on Madison Avenue, are a little closer to that dream.)

The kid would shamble away, heartsick, the beautiful rainbow-hued
bubble of his imagination burst by the sharp prick of reality.

"Funny how annoying a little prick can be." — Garry Shandling as Senator Stern

Monday, June 10, 2013

Galois Coordinates

Filed under: General,Geometry — Tags: , — m759 @ 10:30 PM

Today's previous post on coordinate systems
suggests a look at the phrase "Galois coordinates."

A search shows that the phrase, though natural,
has apparently not been used before 2011* for solutions
to what Hermann Weyl called "the relativity problem."

A thorough historical essay on Galois coordinatization
in this sense would require more academic resources
than I have available. It would likely describe a number
of applications of Galois-field coordinates to square
(and perhaps to cubical) arrays that were studied before
1976, the date of my Diamond Theory  monograph.

But such a survey might not  find any such pre-1976
coordinatization of a 4×4 array  by the 16 elements
of the vector 4-space  over the Galois field with two
elements, GF(2).

Such coordinatizations are important because of their
close relationship to the Mathieu group 24 .

See a preprint by Anne Taormina and Katrin Wendland,
"The overarching finite symmetry group of Kummer
surfaces in the Mathieu group 24 ," with its remark
denying knowledge of any such coordinatization
prior to a 1989 paper by R. T. Curtis.

Related material: 

Some images related to Galois coordinates, excerpted
from a Google search today (click to enlarge)—

*  A rather abstract  2011 paper that uses the phrase
   "Galois coordinates" may have some implications 
   for the naive form of the relativity problem
   related to square and cubical arrays.

Brightness at Noon (continued)

Filed under: General — m759 @ 12:00 PM

A book review, a coordinate system, a post.

Click images for details.


Filed under: General — m759 @ 10:23 AM

Part I

IMAGE- Kristen Wiig's SNL Red Flag perfume video

Part II

"I Am a Dancer" — NY Times, "The Stone," 9:07 PM ET
Sunday, June 9, 2012 (Tony night)

Part III

IMAGE- Fifth Floor Psychiatric Unit from 'Girl Most Likely'

Sunday, June 9, 2013

Dream a Little Dream

Filed under: General — m759 @ 8:00 PM

 "Girl Most Likely" — Kristen Wiig


Filed under: General — m759 @ 11:00 AM

See, too, Loretta's Rainbow.

Sicilian Reflections

Filed under: General,Geometry — m759 @ 9:00 AM

(Continued from Sept. 22, 2011)

See Taormina in this journal, and the following photo of "Anne Newton"—

Click photo for context.

Related material:

"Super Overarching" in this journal,
  a group of order 322,560, and

See also the MAA Spectrum  program —

— and an excerpt from the above book:

From 'Beautiful Mathematics,' by Martin Erickson, an excerpt on the Cullinane diamond theorem (with source not mentioned)


Saturday, June 8, 2013

Multispeech (continued)

Filed under: General — m759 @ 2:01 PM

For this, the dies natalis  of poet Gerard Manley Hopkins,
it seems apt to cite a 1973 master's thesis on what the author
calls multiguity  in Hopkins. 

See also multispeech in this journal.

Related material:

See, too, the online front page of The New York Times
from 1:54 PM ET today, and, as an example  of multispeech,
yesterday morning's post Rubric's Cuber.

Yesterday's noon post concerned a forthcoming novel
about poetry and intelligence services. Some related backstory:

Friday, June 7, 2013

For Donut Day

Filed under: General — m759 @ 12:00 PM

A predecessor to the Max Barry novel Lexicon .
(The latter will be published on June 18.)

 See, too, an MAA Spectrum book:

Click on images for details.

Rubric’s Cuber

Filed under: General — m759 @ 2:45 AM

From Night of Lunacy (Sunday, May 5, 2013):

Related posts:  Rubric,  Cuber, and Pound Sign.

Click image for some background.
See also Story Theory and Princeton Apocalypse.

Thursday, June 6, 2013

The Deep End (continued)

Filed under: General — m759 @ 6:29 PM

Latin Lesson

Details in an etymology linked to here Monday, June 3,
in a post titled The Deep End  

"… mid-15c., from Middle French pensée  … from
  fem. past participle of penser  'to think,' from
  Latin pensare  'consider'…." 

A remembrance of the late, great, Esther Williams,
who died early today:

After marrying Lamas, she retired from public life.
Williams explained in a 1984 interview, "A really terrific guy
comes along and says, 'I wish you'd stay home and be
my wife,' and that's the most logical thing in the world for a Latin.
And I loved being a Latin wife — you get treated very well.
There's a lot of attention in return for that sacrifice."

See, too, the link alea  from yesterday's Stitch.

Review Comment Submitted

Filed under: General,Geometry — m759 @ 2:19 AM

The Mathematical Association of America has a
submit-a-review form that apparently allows readers
to comment on previously reviewed books.

This morning I submitted the following comment on
Alexander Bogomolny's March 16, 2012, review of 
Martin J. Erickson's Beautiful Mathematics :

In section 5.17, pages 106-108, "A Group of Operations,"
Erickson does not acknowledge any source. This section
is based on the Cullinane diamond theorem. See that
theorem (published in an AMS abstract in 1979) at
PlanetMath.org and EncyclopediaOfMath.org, and
elsewhere on the Web. Details of the proof given by
Erickson may be found in "Binary Coordinate Systems,"
a 1984 article on the Web at

If and when the comment may be published, I do not know.

Update of about 6:45 PM ET June 7:

The above comment is now online at the MAA review site.

Update of about 7 PM ET July 29:

The MAA review site's web address was changed, and the 
above comment was omitted from the page at the new address.
This has now been corrected.

Wednesday, June 5, 2013


Filed under: General — m759 @ 2:00 PM

"Philosophy is a battle against the bewitchment
of our intelligence by means of our language." — Wittgenstein

"You've got to pick up every stitch…
Must be the season of the witch."
— Donovan song at the end of Nicole Kidman's "To Die For"

Today's morning post, Rubric, suggests a check
of Alexander Bogomolny's tweets:

Clicking the hint leads to Bogomolny's Ambiguities in Plain Language:

See also, in this  journal, alea  (which appears within the derived word "aleatory").


Filed under: General — m759 @ 6:00 AM

From a mathematical review:

"The book ends with eye-opening explorations….
If pressed for an extra rubric, I would consider
a separate section on "Engaging Games," as
this is something that mathematicians are
preoccupied with— literally and metaphorically."

Alexander Bogomolny

See in this journal Language Game,  Nexus, and
posts of May 12, 2013.

Tuesday, June 4, 2013

Eight is a Gate

Filed under: General — m759 @ 7:59 PM


A review of Beautiful Mathematics  for 8 PM. 

The corrected index the reviewer links to is here.
As a June 1 post shows, it is not corrected enough .

The review is dated March 16, 2012.
See this journal on that date.

See also Good Bye, Marty.

Brightness at Noon (continued)

Filed under: General — m759 @ 12:00 PM


The Chinese name of the gate, Tiānānmén 天安門 …
is made up of the Chinese characters for "heaven,"
"peace" and "gate" respectively, which is why the
name is conventionally translated as "The Gate of
Heavenly Peace". However, this translation is
somewhat misleading, since the Chinese name is
derived from the much longer phrase "receiving the
mandate from heaven, and stabilizing the dynasty."

Another anniversary today:

IMAGE- 'Royals celebrate 60th anniversary of Queen Elizabeth II's coronation'

See also some related philosophy and mathematics.

Cover Acts

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

The Daily Princetonian  today:

IMAGE- 'How Jay White, a Neil Diamond cover act, duped Princeton'

A different cover act, discussed here  Saturday:

IMAGE- The diamond theorem affine group of order 322,560, published without acknowledgment of its source by the Mathematical Association of America in 2011

See also, in this journal, the Galois tesseract and the Crosswicks Curse.

"There is  such a thing as a tesseract." — Crosswicks saying

Monday, June 3, 2013

New Yorker Art

Filed under: General — m759 @ 7:59 PM

New Yorker  editor David Remnick at Princeton today
(from a copy of his prepared remarks):

"Finally, speaking of fabric design…."

I prefer Tom and Harold:

Tom Wolfe in The Painted Word 

"I am willing (now that so much has been revealed!)
to predict that in the year 2000, when the Metropolitan
or the Museum of Modern Art puts on the great
retrospective exhibition of American Art 1945-75,
the three artists who will be featured, the three seminal
figures of the era, will be not Pollock, de Kooning, and
Johns-but Greenberg, Rosenberg, and Steinberg.
Up on the walls will be huge copy blocks, eight and a half
by eleven feet each, presenting the protean passages of
the period … a little 'fuliginous flatness' here … a little
'action painting' there … and some of that 'all great art
is about art' just beyond. Beside them will be small
reproductions of the work of leading illustrators of
the Word from that period…."

Harold Rosenberg in The New Yorker 

(Click to enlarge.)

Tom's book seems to be repeating, in 1975, what Harold said better in 1969.

"Finally, speaking of fabric design…."

Note "fabric design" in Rosenberg's words on philistine views of the art of Noland.

For Princeton’s Class Day

Filed under: General — m759 @ 10:30 AM

Triple Threat

"'Mr. Remnick's work is smart, funny and insightful —
a triple threat Class Day speaker!' said Class Day
co-chair Lily Alberts." — News at Princeton

Related material: David Remnick on Miss Gould.

See also Remnick and Miss Gould in this journal.

The Deep End

Filed under: General — m759 @ 9:00 AM

From "The Genre Artist," by Carlo Rotella, in The New York Times ,
published online on July 15, 2009 —

"Dan Simmons, the best-selling writer of horror and fantasy,
described discovering Vance as 'a revelation for me, like
coming to Proust or Henry James. Suddenly you’re in the
deep end of the pool.'"

Another approach to the deep end:

This  journal on the above date— July 15, 2009
and also on Sunday, May 26, 2013, the date of Vance's death —

"This nothing's more than matter." —Laertes in Hamlet

Midrash for theologians:

Rotella's article was published in print  a few days later in
The New York Times Magazine of Sunday, July 19, 2009.
See this  journal on that date for "Finite Jest," with some
remarks by Pascal related to the above quote from Hamlet .

"There is pansies, that's for thoughts." —Ophelia

Sunday, June 2, 2013

Sunday School

Filed under: General,Geometry — Tags: — m759 @ 9:29 AM

See the Klein correspondence  at SymOmega today and in this journal.

"The casual passerby may wonder about the name SymOmega.
This comes from the notation Sym(Ω) referring to the symmetric group
of all permutations of a set Ω, which is something all of us have
both written and read many times over."

Zero Theorem

Filed under: General — Tags: — m759 @ 2:02 AM

"Je repârs à zéro." — Awakening theme from Inception

This morning's New York Times :

Saturday, June 1, 2013


Filed under: General,Geometry — Tags: , , — m759 @ 4:00 PM

"What we do may be small, but it has
  a certain character of permanence."

— G. H. Hardy, A Mathematician's Apology

The diamond theorem  group, published without acknowledgment
of its source by the Mathematical Association of America in 2011—

IMAGE- The diamond-theorem affine group of order 322,560, published without acknowledgment of its source by the Mathematical Association of America in 2011

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