Monday, October 23, 2017

Plan 9 Continues

Filed under: Uncategorized — m759 @ 9:00 PM

Click for some background

Another approach, for Dan Brown fans —

In the following passage, Brown claims that an eight-ray star
with arrowheads at the rays' ends is "the mathematical symbol for
entropy."  Brown may have first encountered this symbol at a 
questionable "Sacred Science" website.  Wikipedia discusses
some even less  respectable uses of the symbol.

The Public Square*

Filed under: Uncategorized — m759 @ 12:00 PM

* See as well "Public Square" in other posts.

Sunday, October 22, 2017

Harvard News

Filed under: Uncategorized — m759 @ 9:42 PM


Filed under: Uncategorized — m759 @ 11:00 AM

See "Imagination and Layered Ontology in Greek Mathematics,"
by Reviel Netz, at


See also


Some background — Posts now tagged Noesis.

Saturday, October 21, 2017

Crimson Algebra

Filed under: Uncategorized — m759 @ 7:23 PM

"Category theory has become the central gateway
through which to learn pure mathematics."

— David Spivak, Harvard Math Table, Oct. 24, 2017

The New Yorker , issue of October 23, 2017

See as well posts tagged Death Warmed Over.

Shift Lock

Filed under: Uncategorized — m759 @ 11:00 AM

Shift Lock key from manual typewriter, linking to Levin's 'The Philosopher's Gaze'

"As many philosophers have noted, in the German language,
the word Schein  bears three distinct meanings:

(i) shining, radiance, luminosity

(ii) manifesting, phenomenal appearing, showing itself, coming to light

(iii) illusion, deception, semblance, 'mere' appearance

In the Greek language of Plato's thought, the first two meanings were
bound together by their etymology. But Plato's metaphysics, drawing
a line of irreconcilable separation between the reality of a higher realm
of pure Ideas and the illusoriness of a lower realm consisting of sensuous
appearances, exhibits a logic that he saw connecting inextricably all three
of these seemingly unconnected meanings."

— Levin, David Michael. The Philosopher's Gaze:
Modernity in the Shadows of Enlightenment . 

Part III, Section 10: "Where the Beauty of Truth Lies."
Berkeley:  University of California Press,  1999.

Back to Halloween Season

Filed under: Uncategorized — m759 @ 1:00 AM

Images for Martin Gardner's birthday —

"Hail, Caesar!" — The Coen Brothers

Friday, October 20, 2017

Punch Lines

Filed under: Uncategorized — Tags: — m759 @ 10:06 PM

From a post last month

"You're gonna need a bigger boat."
— Roy Scheider in "Jaws"

"We're gonna need more holy water."
— "Season of the Witch" 

… and for Tom HanksDan Brown, and Francine Prose —

"You're gonna need more typewriters!"

Heart of the Monkey God

Filed under: Uncategorized — Tags: — m759 @ 9:42 PM

In Memoriam

"Renowned Canadian theologian Gregory Baum, 94,
author of the first draft of the Second Vatican Council's
'Nostra Aetate,' died Oct. 18 in a Montreal hospital."

National Catholic Reporter , Oct. 20, 2017

October 18 was St. Luke's Day. 

From the Log24 post "Prose" on that date

"Mister Monkey . . . . is also Hanuman, the Hindu monkey god . . . ."
— Cathleeen Schine in an online October 17 NY Times  review.

From the novel under review —

"Only the heart of the monkey god is large enough
to contain the hearts and souls of all the monkeys,
all the humans, the gods, every shining thread
that connects them."

— Francine Prose, Mister Monkey: A Novel  (p. 263).
     HarperCollins. Kindle Edition. 

See as well all posts now tagged Prose Monkey.

Thursday, October 19, 2017

Design Grammar***

Filed under: Uncategorized — m759 @ 10:22 PM

The elementary shapes at the top of the figure below mirror
the looking-glass property  of the classical Lo Shu square.

The nine shapes at top left* and their looking-glass reflection
illustrate the looking-glass reflection relating two orthogonal
Latin squares over the three digits of modulo-three arithmetic.

Combining these two orthogonal Latin squares,** we have a
representation in base three of the numbers from 0 to 8.

Adding 1 to each of these numbers yields the Lo Shu square.

* The array at top left is from the cover of
Wonder Years:
Werkplaats Typografie 1998-2008

** A well-known construction.

*** For other instances of what might be
called "design grammar" in combinatorics,
see a slide presentation by Robin Wilson.
No reference to the work of Chomsky is

Graphic Design: Fast Forward

Filed under: Uncategorized — m759 @ 8:18 PM

Typographical: » 

Eightfold Cube:


Prose (continued from yesterday)

Filed under: Uncategorized — Tags: — m759 @ 12:20 PM

"While Prose's adult works have touched on various subjects,
her fiction for children, which she began writing in earnest
in the mid-1990s, all has a basis in Jewish folklore."

»  Read more.

Aficionados of what Dan Brown has called "symbology"
can read about the above right-chevrons symbol in
Fast Forward, a post of November 21, 2010.

And Howe

Filed under: Uncategorized — Tags: — m759 @ 11:01 AM

The Harvard Crimson , Feb. 28, 2017

Cambridge City Councillors formally requested that the Cambridge
Historical Commission consider designating the Abbott Building in
Harvard Square as a historical landmark at its weekly meeting Monday.
. . . .

“There are only a few gems that give the really Square character.”
Councillor Dennis J. Carlone said. “And in the heart of the square,
it’s this building.”

See as well the cover of
The Monkey Grammarian ,
a book by Octavio Paz —

A related NPR book review yesterday —

"Like Curious George , another vaguely imperialist children's classic —
which Prose refers to frequently — the simian hero of Mister Monkey 
gets into trouble in his new urban environment." 

Wednesday, October 18, 2017


Filed under: Uncategorized — Tags: — m759 @ 11:01 PM

New York Times  review  of a new novel by Francine Prose —

"Mister Monkey . . . . is also Hanuman, the Hindu monkey god . . . ."
— Cathleeen Schine in in the above October 17 review.

A related book

See as well The Monkey Grammarian  in this  journal.

Three Small Grids

Filed under: Uncategorized — m759 @ 8:48 PM

An earlier post today, now tagged "Three Small Magic Squares,"
suggests a review of a post from October 25 three years ago
that contains the following figure —

Fans of the October Revolution may enjoy a passage
by Rosalind Krauss on grids:

Bach for String Quartet

Filed under: Uncategorized — m759 @ 1:37 PM

See also Bach + Quartet in this  journal.

Dürer for St. Luke’s Day

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

Structure of the Dürer magic square 

16   3   2  13
 5  10  11   8   decreased by 1 is …
 9   6   7  12
 4  15  14   1

15   2   1  12
 4   9  10   7
 8   5   6  11
 3  14  13   0 .

Base 4 —

33  02  01  30
10  21  22  13
20  11  12  23 
03  32  31  00 .

Two-part decomposition of base-4 array
as two (non-Latin) orthogonal arrays

3 0 0 3     3 2 1 0
1 2 2 1     0 1 2 3
2 1 1 2     0 1 2 3
0 3 3 0     3 2 1 0 .

Base 2 –

1111  0010  0001  1100
0100  1001  1010  0111
1000  0101  0110  1011
0011  1110  1101  0000 .

Four-part decomposition of base-2 array
as four affine hyperplanes over GF(2) —

1001  1001  1100  1010
0110  1001  0011  0101
1001  0110  0011  0101
0110  0110  1100  1010 .

— Steven H. Cullinane,
  October 18, 2017

See also recent related analyses of
noted 3×3 and 5×5 magic squares.

Tuesday, October 17, 2017

Plan 9 Continues

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

See also Holy Field in this journal.

Some related mathematics —

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

Analysis of the Lo Shu structure —

Structure of the 3×3 magic square:

4  9  2
3  5  7    decreased by 1 is
8  1  6

3  8  1
2  4  6
7  0  5

In base 3 —

10  22  01
02  11  20
21  00  12

As orthogonal Latin squares
(a well-known construction) —

1  2  0     0  2  1
0  1  2     2  1  0
2  0  1     1  0  2 .

— Steven H. Cullinane,
     October 17, 2017

The Movement of Analogy

Filed under: Uncategorized — m759 @ 4:20 PM

The title is a phrase by Octavio Paz from today's post
"Status Symbols."

Other phrases from a link target in Sunday's post 
The Strength at the Centre

                               … a single world
In which he is and as and is are one.

See also Four Dots in this journal.

News from Jarvis (for Tony Stark)

Filed under: Uncategorized — m759 @ 3:22 PM

From the first New York Times Wire  item below

<meta property="article:published"
content="2017-10-17T14:55:26-04:00" />

Status Symbols

Filed under: Uncategorized — m759 @ 2:02 PM

"Status: Defunct"  

As is now its owner, who reportedly
died at 80 on Sunday, October 15, 2017.

In memoriam —

Excerpts from Log24 posts on Sunday night 
and yesterday evening


" … listen: there's a hell
of a good universe next door; let's go"

— e. e. cummings

Some literary background —

"At the point of convergence
the play of similarities and differences
cancels itself out in order that 
identity alone may shine forth
The illusion of motionlessness,
the play of mirrors of the one: 
identity is completely empty;
it is a crystallization and
in its transparent core
the movement of analogy 
begins all over once again."

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

Monday, October 16, 2017

Halloween Meditation

Filed under: Uncategorized — m759 @ 7:27 PM

Box Office Report —

"Only a peculiar can enter a time loop."

'Only a peculiar can enter a time loop' — Nov. 21, 2016

A post from Halloween season seven years ago last Saturday

Related material — This morning's "Highway 61 Revisited."

Reply to a Creepy Christmas Message

Filed under: Uncategorized — m759 @ 11:01 AM

In memory of Marian Cannon Schlesinger,
who reportedly died on Saturday, October 14, 2017

University Diaries  on December 25, 2016

"You could say UD  currently sits (she’s in the library
at five AM) at the pinnacle of elitism; you could say
she ain’t climbing any higher than atop this soft
leather chair resting on one of the gargantuan rugs
Galbraith or Galbraith junior brought back from India
or Afghanistan. But it’s only the trappings. What’s
been able to be held in amber. This place is the
genuine Henry James (Harvard Law, 1872):
The affluent society, expansive, sedate; and
the cry of pain almost out of earshot."

Presumably UD  means the noted author Henry James.
A fact check does not bear out her "Harvard Law, 1872" remark.

For this Halloween season, a creepy passage from James —

Highway 61 Revisited

Filed under: Uncategorized — Tags: , — m759 @ 10:13 AM

"God said to Abraham …." — Bob Dylan, "Highway 61 Revisited"

Related material — 

See as well Charles Small, Harvard '64, 
"Magic Squares over Fields" —

— and Conway-Norton-Ryba in this  journal.

Some remarks on an order-five  magic square over GF(52):

"Ultra Super Magic Square"

on the numbers 0 to 24:

22   5   18   1  14
  3  11  24   7  15
  9  17   0  13  21
10  23   6  19   2
16   4  12  20   8


42  10  33  01  24 
03  21  44  12  30 
14  32  00  23  41
20  43  11  34  02
31  04  22  40  13 

Regarding the above digits as representing
elements of the vector 2-space over GF(5)
(or the vector 1-space over GF(52)) 

All vector row sums = (0, 0)  (or 0, over GF(52)).
All vector column sums = same.

Above array as two
orthogonal Latin squares:
4 1 3 0 2     2 0 3 1 4
0 2 4 1 3     3 1 4 2 0 
1 3 0 2 4     4 2 0 3 1         
2 4 1 3 0     0 3 1 4 2
3 0 2 4 1     1 4 2 0 3

— Steven H. Cullinane,
      October 16, 2017

Meta Property

Filed under: Uncategorized — m759 @ 1:00 AM

From The New York Times  this morning —

Where the Journey
is the Destination

A writer finds emotional solace on some of
Norway’s scenic remote roads, which have been
transformed into architectural wonders.

By ONDINE COHANE   OCT. 16, 2017

. . . .

"… another project conceived along these routes is
the Juvet Landscape Hotel, designed by the architects 
Jensen & Skodvin, and the creepy, if incredibly appropriate
aesthetically, setting for the 2015 film 'Ex Machina.' "

<meta property="article:published"
content="2017-10-16T00:01:38-04:00" />

Sunday, October 15, 2017

Saturday Night Not-So-Live

Filed under: Uncategorized — m759 @ 11:59 PM

Hillel Italie at AP News —

"Richard Wilbur, the Pulitzer Prize-winning poet and translator
who intrigued and delighted generations of readers and theatergoers
through his rhyming editions of Moliere and his own verse on memory,
writing and nature, died. He was 96.

Wilbur died Saturday night [Oct. 14, 2017] in Belmont, Massachusetts,
with his family by his side, according to friend and fellow poet, Dana Gioia."

Images from the post "Center" in this journal on Saturday afternoon —


"Things fall apart; the centre cannot hold"

William Butler Yeats (1865-1939)

An Interesting Symbol

Filed under: Uncategorized — m759 @ 2:00 PM

"His story is tragic and fascinating, but also
an interesting symbol for the 20th century."

"Pawn Sacrifice" review by Jordan Hoffman,
     Sept. 18, 2015

See as well William J. Lombardy's obituary in 
today's online New York Times .

Other symbols —

Logo for a current New York Times  series

A 1989 New York Times  illustration for Florence King's review of The Eight , 
a  novel by Katherine Neville that features prominently the date April 4 —

Illustration by Rodrigo Shopis

See also recent posts now tagged Five Movements for Lombardy.

The Strength at the Centre

Filed under: Uncategorized — Tags: , — m759 @ 1:00 PM

The title, a phrase from a poem by Wallace Stevens,
was suggested by the previous post, "Center."

See posts tagged May 19 Gestalt in particular, 
May 19, 2007 — "Point of View."

Saturday, October 14, 2017


Filed under: Uncategorized — Tags: — m759 @ 2:20 PM

Rosalind Krauss in 1978

"To get inside the systems of this work,
whether LeWitt's or Judd's or Morris's,
is precisely to enter
a world without a center,
a world of substitutions and transpositions
nowhere legitimated by the revelations
of a transcendental subject. This is the strength
of this work, its seriousness, and its claim to modernity." 


"The center of
the quaternion group,
Q8 = {1, −1, i, −i, j, −j, k, −k} ,
is {1, −1}."

Illustration from a post of Feb. 3,  2011


In Principio:

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

Red October  continues …

See also Molloy in this  journal.

Related art  theory —

Geometry of the 4×4 Square 

Friday, October 13, 2017

Sicut Erat

Filed under: Uncategorized — Tags: — m759 @ 9:26 PM

Smith College in 2011 on some music by Dan Brown's brother —

"Using the conventions of a traditional five-movement
Roman Catholic Mass to revere Darwin’s body of work,
Gregory Brown, Smith’s assistant director of choral
activities and a composer of choral music, is
collaborating with Craig Phillips, an early music specialist
and member of the classical a cappella male quartet
New York Polyphony, to create the piece Missa Charles Darwin . 
Brown is building the work in three large-scale sections and
scoring it for a male vocal quartet, which will be performed by
New York Polyphony."


Dan Brown has said his brother's Missa  helped suggest his new novel Origin .

Material from Smith College related to a performance of
Missa Charles Darwin  at the college on Feb. 4, 2011 —

Dan Brown, in the following passage, claims that an eight-ray star with arrowheads
at the rays' ends is "the mathematical symbol for entropy."  Brown may have first
encountered this symbol at a questionable "Sacred Science" website.  Wikipedia
discusses some even less  respectable uses of the symbol.

My own version of the above symbol (from the pure mathematics of group actions
on a 3×3 square) appeared here the day before  the Friday, Feb. 4, 2011,
Smith College Darwin Mass . . .

See posts now tagged The Next Thing.


Filed under: Uncategorized — m759 @ 1:00 PM

From today's online Harvard Crimson

"I open my textbook to page 48, where I’m greeted by
the Russian word for 'hopeless' in bold typeface.
I chuckle, and my Russian teacher throws me a look
of concern. For a moment, I contemplate telling her
the truth: that I find the word 'hopeless' funny, that
I find entertainment in life’s small, meaningless ironic
miseries. I open my mouth, only to mutter 'ничего,' 
the Russian word for 'nothing.' As she turns to face
the blackboard, I silently laugh in my head;
sometimes dark humor is best enjoyed alone."

— Nathan L. Williams ’18, 
    a Government concentrator in Mather House.

Sometimes not.

Speak, Memra

Filed under: Uncategorized — Tags: — m759 @ 11:59 AM

The above was suggested by a Log24 review of October 13, 2002,
which in turn suggested a Log24 search for Carousel that yielded
(from Bloomsday Lottery) —

See as well Asimov's "prime radiant," and an illustration
of the number 13 as a radiant prime

"The Prime Radiant can be adjusted to your mind,
and all corrections and additions can be made
through mental rapport. There will be nothing to
indicate that the correction or addition is yours.
In all the history of the Plan there has been no
personalization. It is rather a creation of all of us 
together. Do you understand?"  

"Yes, Speaker!"

— Isaac Asimov, 
    Second Foundation , Ch. 8: Seldon's Plan

"Before time began, there was the Cube."
— Optimus Prime

See also Transformers in this journal.

Thursday, October 12, 2017

East Meets West

Filed under: Uncategorized — m759 @ 8:09 PM


Filed under: Uncategorized — m759 @ 12:00 PM

From the top of the online New York Times front page:


“But Back to the Action…”

Filed under: Uncategorized — m759 @ 11:40 AM

The title is from this morning's online New York Times  review
of a new Jackie Chan film.

Click the image below for some related posts.

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman

Slow News Day

Filed under: Uncategorized — m759 @ 11:00 AM

"They all laughed at Christopher Columbus" — Ira Gershwin

Gifted Continues

Filed under: Uncategorized — m759 @ 10:00 AM

Related material — See Gifted in this journal.

See as well Tulips.

Yesterday was the International Day of the Girl Child . . .
A related archived Wikipedia article on Kirkman's schoolgirl problem :

See also the previous post— "IPFS Version"— and https://ipfs.io/.

Wednesday, October 11, 2017

IPFS Version

Filed under: Uncategorized — m759 @ 9:00 PM

Into the Wood

Filed under: Uncategorized — m759 @ 8:12 AM

"As the shellshocked Milne newly returned from the Western Front,
Mr. Gleeson wears a virtually unvarying expression of acute intestinal distress.
Unable to connect with the infant or continue to write his popular plays, Milne
drags the child and his ghastly wife (Margot Robbie) — “I had a baby to
cheer you up!,” she whines — to the paradisiacal forest in Sussex where
the books will take shape."

— Jeannette Catsoulis

See also Princeton's Christopher Robin.

Advanced Study:

Filed under: Uncategorized — m759 @ 7:40 AM

A review.    See also previous posts on this topic.

Tuesday, October 10, 2017

Another 35-Year Wait

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

The title refers to today's earlier post "The 35-Year Wait."

A check of my activities 35 years ago this fall, in the autumn
of 1982, yields a formula I prefer to the nonsensical, but famous,
"canonical formula" of Claude Lévi-Strauss.

The Lévi-Strauss formula

My "inscape" formula, from a note of Sept. 22, 1982 —

S = f ( f ( X ) ) .

Some mathematics from last year related to the 1982 formula —

Koen Thas, 'Unextendible Mututally Unbiased Bases' (2016)

See also Inscape in this  journal and posts tagged Dirac and Geometry.

Dueling Formulas

Filed under: Uncategorized — Tags: , — m759 @ 12:35 PM

Continued from the previous post and from posts
now tagged Dueling Formulas

The four-diamond formula of Jung and
the four-dot "as" of Claude Lévi-Strauss:


Simplified versions of the diamonds and the dots

The Ring of the Diamond Theorem          ::

I prefer Jung. For those who prefer Lévi-Strauss —

     First edition, Cornell University Press, 1970.

A related tale — "A Meaning, Like."

The 35-Year Wait

Filed under: Uncategorized — m759 @ 11:17 AM

From the Web this morning —

A different 35-year wait:

A monograph of August 1976 —

Thirty-five years later, in a post of August 2011, "Coordinated Steps" —

'The Seven Dwarfs and their Diamond Mine

"SEE HEAR READ" — Walt Disney Productions

Some other diamond-mine productions —

 Image -- The cast of 1937's 'King Solomon's Mines' goes back to the future

Monday, October 9, 2017

¿Águila o Sol?

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

Plan 9 Continues

Filed under: Uncategorized — m759 @ 7:20 PM

From the posts of October 9 four years ago —

Still Point for a Dance

Filed under: Uncategorized — m759 @ 12:00 PM

"At the still point of the turning world. Neither flesh nor fleshless;
Neither from nor towards; at the still point, there the dance is,
But neither arrest nor movement. And do not call it fixity,
Where past and future are gathered. Neither movement from nor towards,
Neither ascent nor decline. Except for the point, the still point,
There would be no dance, and there is only the dance."

— T. S. Eliot, Four Quartets

See also a recurrent image
from this journal —

IMAGE- The ninefold square .

Sunday, October 8, 2017

Patterns at Oxford

Filed under: Uncategorized — m759 @ 7:59 PM

See also W. Tecumseh Fitch in this journal.

From the publisher (click to enlarge) —

The above publication date, 01 September 2015, suggests a review
of posts now tagged A Mirror Darkly.


Filed under: Uncategorized — m759 @ 12:07 PM

'Origin' (NOT by Dan Brown)


"The Cardinal seemed a little preoccupied today."

Saturday, October 7, 2017

Byte Space

Filed under: Uncategorized — m759 @ 7:59 PM

The Eightfold Cube

"Before time began,
there was the Cube."

Optimus Prime

Four Walls

Filed under: Uncategorized — Tags: , — m759 @ 12:00 PM

From a web page quoted here on the
Feast of St. Louis, 2003 —

Case 9 of  Hekiganroku: 
Joshu's Four Gates

A monk asked Joshu,
"What is Joshu?" (Chinese: Chao Chou)

Joshu said,
"East Gate, West Gate,
 North Gate, South Gate."

Setcho's Verse:

Its intention concealed,
    the question came;
The Diamond King's eye was
    as clear as a jewel.
There stood the gates,
    north, south, east, and west,
But the heaviest hammer blow
    could not open them.

Setcho (980-1052),
Hekiganroku, 9 (Blue Cliff Records)
(translated by Katsuki Sekida,

Two Zen Classics, 1977, p. 172)

The epigraph to Lefebvre's
The Production of Space   (1974, translated in 1991) —

Octavio Paz, 'Envoi'— 'Imprisoned by four walls....'

(Adapted from a prose poem, "La Higuera ,"
in ¿Águila o Sol?  (1951).)

Broken Symmetries

Filed under: Uncategorized — Tags: — m759 @ 11:00 AM

From posts tagged Design Deadline

A quotation from Lefebvre:

"… an epoch-making event so generally ignored
that we have to be reminded of it at every moment.
The fact is that around 1910 a certain space was shattered…
the space… of classical perspective and geometry…."

— Page 25 of The Production of Space 
    (Blackwell Publishing, 1991)

This suggests, for those who prefer Harvard's past glories
to its current state, a different Raum  from the Zeit  1910.

In January 1910 Annals of Mathematics , then edited at Harvard,
published George M. Conwell's "The 3-space PG (3, 2) and Its Group."
This paper, while perhaps neither epoch-making nor shattering, has
a certain beauty. For some background, see this journal on February 24, 2009.

A Startling Breakdown

Filed under: Uncategorized — Tags: — m759 @ 10:45 AM

" who shared the Nobel Prize
for discovering a startling breakdown …."

— From "CP is for Consolation Prize" (Sept. 3, 2016)

See also Broken Symmetries  in this journal.

Friday, October 6, 2017

NY Times at 12:02 PM ET

Filed under: Uncategorized — m759 @ 7:00 PM

Remains of the Day

Filed under: Uncategorized — m759 @ 9:29 AM

Two deaths on Yom Kippur 2017 —

A note related to a Yom Kippur death seven years earlier

See also Monty's Doors as well as this  journal on Steiner and Barthes —

"The Seventh Door Meets the Seventh Function" (August 26, 2017).

Thursday, October 5, 2017

Short Story:

Filed under: Uncategorized — m759 @ 11:12 AM


Related material —


Click for larger, clearer image.

Wednesday, October 4, 2017

Hunting the Snark

Filed under: Uncategorized — m759 @ 1:04 PM

The conclusion of "Bob Dylan’s Year of Living Laureatishly,"
by Hart Seely, in The New York Times  online today —

"How about a Heisman?"

Text and Context

Filed under: Uncategorized — m759 @ 11:00 AM

Text —

"A field is perhaps the simplest algebraic structure we can invent."

— Hermann Weyl, 1952

Context —

See also yesterday's Personalized Book Search.

Full text of Symmetry  – Internet Archive —


A field is perhaps the simplest algebraic 143 structure
we can invent. Its elements are numbers. Characteristic
for its structure are the operations of addition and 

From a Log24 search for Mathematics+Nutshell —

IMAGE- History of Mathematics in a Nutshell

Tuesday, October 3, 2017

Show Us Your Wall

Filed under: Uncategorized — m759 @ 12:10 PM

From Monday morning's post Advanced Study

"Mathematical research currently relies on
a complex system of mutual trust
based on reputations."

— The late Vladimir Voevodsky,
Institute for Advanced Study, Princeton,
The Institute Letter , Summer 2014, p. 8

Related news from today's online New York Times

A heading from the above screenshot: "SHOW US YOUR WALL."

This suggests a review of a concept from Galois geometry

On the wall— A Galois-geometry 'inscape'

(On the wall — a Galois-geometry inscape .)

Personalized Book Search

Filed under: Uncategorized — m759 @ 10:21 AM

Click to enlarge

The quote from Hermann Weyl on which the above search is based
is from a search within this journal for Springer + Knight.

Monday, October 2, 2017

Springer Link

Filed under: Uncategorized — m759 @ 7:08 PM

A check of the second editor of the history of modern algebra
in the previous post yields

The "first online" date, 13 May 2015, in the above Springer link
suggests a review of Log24 posts tagged Clooney Omega.

Another remark by Parshall, on her home page

"… and I will brought out the edietd [ sic ] volume, Bridging Traditions:
Alchemy, Chymistry, and Paracelsian Traditions in Early Modern Europe:
Essays in Honor of Allen G.Debus,
 in 2015 in the Early Modern Studies
series published by the Truman State University Press."

Happy birthday to the late Wallace Stevens.

The Nut Analogy

Filed under: Uncategorized — m759 @ 12:01 PM

For fans of the 'in a nutshell' quote from 'Hamlet'

Published as the final chapter, Chapter 13, in
Episodes in the History of Modern Algebra (1800-1950) ,
edited by Jeremy J. Gray and Karen Hunger Parshall,
American Mathematical Society, July 18, 2007,  pages 301-326.

See also this  journal on the above McLarty date —
May 24, 2003:  Mental Health Month, Day 24.

Advanced Study

Filed under: Uncategorized — m759 @ 3:40 AM

"Mathematical research currently relies on
a complex system of mutual trust
based on reputations."

— The late Vladimir Voevodsky,
Institute for Advanced Study, Princeton,
The Institute Letter , Summer 2014, p. 8

Voevodsky reportedly died unexpectedly at 51
on the morning of Saturday, Sept. 30, 2017. 
Yom Kippur began on Friday evening, Sept. 29, 2017.

Related material — 


Sunday, October 1, 2017

A Rosebud for Newhouse

Filed under: Uncategorized — Tags: — m759 @ 6:06 PM

See the previous post and, from some April 1 ART WARS remarks 

Hard Candy on Good Friday 2006

See also reviews of  a new  Ellen Page film, "Flatliners."

The Giant Passing

Filed under: Uncategorized — m759 @ 11:11 AM

"A giant of the publishing world, and a true believer
in talent and creativity, his passing marks
the end of an era in American media."

— Unsigned "obiturary" in Vogue  online this morning


O for the days of Avedon and Vreeland!  (See Dick Finds Jo ).

Saturday, September 30, 2017

Paradoxes for Oxymorons

Filed under: Uncategorized — m759 @ 6:00 PM

"This poem is concerned with language on a very plain level."

— "Paradoxes and Oxymorons" by John Ashbery,
quoted here in the post Take Your Pick of Dec. 16, 2011.

"The problem is a paradox of the veridical  type,
because the correct result (you should switch doors)
is so counterintuitive it can seem absurd,
but is nevertheless demonstrably true."

— Wikipedia on the Monty Hall problem.

Related material —

Where Angels Fear to Tread

Filed under: Uncategorized — m759 @ 8:38 AM

From the online New York Times  this morning —

"Origin  is Mr. Brown’s eighth novel. It finds his familiar protagonist,
the brilliant Harvard professor of symbology and religious iconography
Robert Langdon, embroiled once more in an intellectually challenging,
life-threatening adventure involving murderous zealots, shadowy fringe
organizations, paradigm-shifting secrets with implications for the future
of humanity, symbols within puzzles and puzzles within symbols and
a female companion who is super-smart and super-hot.

As do all of Mr. Brown’s works, the new novel does not shy away from
the big questions, but rather rushes headlong into them."

— Profile of Dan Brown by Sarah Lyall

See also yesterday's Log24 post on the Feast of St. Michael and All Angels.

Friday, September 29, 2017

Principles Before Personalities*

Filed under: Uncategorized — m759 @ 12:00 PM

(Some Remarks for Science Addicts)

Principles —

IMAGE- The large Desargues configuration in light of Galois geometry

Personalities —

* See "Tradition Twelve."

Thursday, September 28, 2017


Filed under: Uncategorized — Tags: — m759 @ 4:01 PM

From the New York Times Wire  last night —

"Mr. Hefner styled himself as an emblem
of the sexual revolution."

From a Log24 post on September 23 —

A different emblem related to other remarks in the above Sept. 23 post

On the wall— A Galois-geometry 'inscape'

(On the wall — a Galois-geometry inscape .)

The Last Word

Filed under: Uncategorized — Tags: , — m759 @ 6:00 AM

Remarks suggested by the previous post

From Jeremy Biles, "Introduction: The Sacred Monster," in
Ecce Monstrum: Georges Bataille and the Sacrifice of Form

(Fordham University Press, 2007, page 3) —

Bataille’s insistent conjunction of the monstrous and the sacred is the subject of this book. Regarded by many as one of the most important thinkers of our time, and acknowledged as an important influence by such intellectuals as Michel Foucault, Julia Kristeva, Maurice Blanchot, and Jacques Derrida, Bataille produced a corpus of wide-ranging writings bearing the monstrous marks of the affective and intellectual contradictions he also sought to produce in his readers. In the following chapters, I will specify some of the ways in which Bataille evokes monstrosity to elicit in himself and his audience an experience of simultaneous anguish and joy—an experience that he calls sacred. In particular, Bataille is fascinated with the ‘‘left-hand’’ sacred. In contradistinction to its lucent and form-conferring ‘‘right-hand’’ counterpart, the left-hand sacred is obscure and formless—not transcendent, pure, and beneficent, but dangerous, filthy, and morbid. This sinister, deadly aspect of the sacred is at once embodied in, and communicated by, the monster. As we will see, it is in beholding the monster that one might experience the combination of ecstasy and horror that characterizes Bataille ’s notion of the sacred.

The dual etymology of ‘‘monster’’ reveals that aspect of the sacred that enticed Bataille. According to one vein of etymological study, the Latin monstrum  derives from monstrare  (to show or display). The monster is that which appears before our eyes as a sign of sorts; it is a demonstration. But another tradition emphasizes a more ominous point. Deriving from monere  (to warn), the monster is a divine omen, a portent; it heralds something that yet remains unexpected, unforeseeable—as a sudden reversal of fortune. In the writings of Bataille, the monster functions as a monstrance, putting on display the sinister aspect of the sacred that Bataille sees as the key to a ‘‘sovereign’’ existence. But in doing so the monster presents us with a portent of something that we cannot precisely foresee, but something that, Bataille claims, can be paradoxically experienced in moments of simultaneous anguish and ecstasy: death.

See as well

(Order of news items transposed for aesthetic effect.)

Wednesday, September 27, 2017


Filed under: Uncategorized — Tags: , — m759 @ 6:11 AM

    See also a related Log24 post.

Tuesday, September 26, 2017

Seeking Stillness

Filed under: Uncategorized — m759 @ 12:00 PM

The title is that of an exhibition at Boston's Museum of Fine Arts
that opened on Sunday, September 24.

See the previous post and some Chinese background
from The Cornell Daily Sun  today —

"John W. Lewis, the University’s first professor of Chinese government
and one of the first major China specialists who came out against the
Vietnam War, died on Sept. 4 in Stanford, California. He was 86."

Still enough for you?

Happy Birthday, T. S. Eliot

Filed under: Uncategorized — m759 @ 2:56 AM

" . . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."

Four Quartets

See posts now tagged Myspace China.

Monday, September 25, 2017

Bozeman Eck

Filed under: Uncategorized — m759 @ 5:23 PM

Related story — 

MSU to award honorary doctorate to
Harvard professor Diana Eck

March 8, 2013 — MSU News Service

See also Bozeman and "Ein Eck" in this  journal.

Sunday, September 24, 2017


Filed under: Uncategorized — m759 @ 8:30 PM

"On April 23, 2009 ….

'I’m reminded of the character in "The Silence of the Lambs," 
Hannibal Lecter, a very brilliant man,' the prosecutor said,
recognizing 'his ability to intelligently and articulately discuss
things occurring in society.'

'But at his core, as with Mr. Lecter at his core, he is a sociopath,' 
the prosecutor said."

— David Stout in an obituary from this evening's online
New York Times

See also this  journal on April 23, 2009, and
a figure from this morning's link Cantina —



Filed under: Uncategorized — m759 @ 11:00 AM

Cantina .

Sunday School

Filed under: Uncategorized — m759 @ 9:29 AM

Saturday, September 23, 2017

The Turn of the Year

Filed under: Uncategorized — m759 @ 11:59 PM

Quioted here  last  year on September 23rd

See also Galois Quaternion.

The Turn of the Frame

Filed under: Uncategorized — Tags: — m759 @ 2:19 AM

"With respect to the story's content, the frame thus acts
both as an inclusion of the exterior and as an exclusion
of the interior: it is a perturbation of the outside at the
very core of the story's inside, and as such, it is a blurring
of the very difference between inside and outside."

— Shoshana Felman on a Henry James story, p. 123 in
"Turning the Screw of Interpretation,"
Yale French Studies  No. 55/56 (1977), pp. 94-207.
Published by Yale University Press.

See also the previous post and The Galois Tesseract.

Friday, September 22, 2017

February 11 Note

Filed under: Uncategorized — m759 @ 9:00 AM

"The story’s origin is therefore situated, it would seem, in
a forgetting  of its origin: to tell the story’s origin is to tell
the story of that origin’s obliteration."

— Shoshana Felman, p. 122 in
"Turning the Screw of Interpretation,"
Yale French Studies  No. 55/56 (1977), pp. 94-207.
Published by Yale University Press.

The Preface 

Thursday, September 21, 2017

LIFE and Abstract Thought

Filed under: Uncategorized — m759 @ 10:26 PM

Paul Valéry in 'Poetry and Abstract Thought' on the words TIME and LIFE

For Valéry's phrase "an extreme depth, a torment of thought," see
(via a link from the reported date of the above publisher's death, Aug. 31)
a post of July 15, 2004.

Product Placement

Filed under: Uncategorized — m759 @ 5:17 AM

Wednesday, September 20, 2017

The Real Reporter*

Filed under: Uncategorized — m759 @ 10:00 PM

In memory of Lillian Ross, who reportedly died early today —

An Abstract Power.

* As opposed to The Imaginary Professor.

The Imaginary Professor

Filed under: Uncategorized — Tags: — m759 @ 8:35 PM
- I was a teacher.
- You're being modest, aren't you?
  You were a professor at Boston University...
  Isn't that right?
- Yes, well, assistant professor.
- And what'd you teach?
- Philosophy. Truth and logic. 
  That sort of thing.

Read more: 

Compare and contrast with a real  Boston University professor,
John Stachel, quoted here on Sept. 5, 2017.

Time and Chance Continues …

Filed under: Uncategorized — m759 @ 4:14 AM

from the previous post. See also Spectre in this journal.

The clock of Cortez's Palace in Cuernavaca

Tuesday, September 19, 2017

Time and Chance

Filed under: Uncategorized — Tags: — m759 @ 5:55 AM

(For Qohen Leth)

Monday, September 18, 2017

In Memoriam

Filed under: Uncategorized — m759 @ 9:15 AM

Lt. Col. Stanislav Petrov, "the man who saved the world," reportedly died
at 77 in a town near Moscow on May 19, 2017.  

A figure from last night's post appeared in this journal on that date.

Sunday, September 17, 2017

For St. Christopher (Hitchens)

Filed under: Uncategorized — m759 @ 9:00 PM

who reportedly died at 62 late on Thursday, Dec. 15, 2011.

Related material — The "What As Is" link above, and a Sept. 14 post
quoting art critic Roberta Smith on a current exhibition —

"You grab your experiential richness where you find it."

— Roberta Smith"Postwar Art Gets a Nervy Makeover"
     in the online New York Times  

The Third Brother

Filed under: Uncategorized — m759 @ 11:48 AM

For the other two brothers, see Feininger in this journal.


Filed under: Uncategorized — m759 @ 1:40 AM

"My guess is you're looking for 
the least, little entity."

— Subtitle in "The Zero Theorem"
from the previous post.

Related material —

See as well some purely mathematical properties of a byte
discussed here on July 7, 2011.

Saturday, September 16, 2017


Filed under: Uncategorized — m759 @ 4:23 PM
T. Lux Feininger (June 11, 1910 Berlin, Germany – July 7, 2011 Cambridge, Massachusetts) was a German-American painter, avant-garde photographer, author, and art teacher who was born in Berlin to Julia Berg and Lyonel Feininger, an American living in Germany from the age of sixteen. His father was appointed as the Master of the Printing Workingshop at the newly formed Bauhaus art school in Weimar by Walter Gropius in 1919.[1] He had two older full brothers, including Andreas Feininger . . . .  Wikipedia

The above passage was suggested by an IMDb release date

— and by a Log24 post, Lux, of the same date:  19 August, 2014.

See also photos by a big brother of Lux Feininger in this journal
on Wednesday, August 30, 2017.

The Zero Monstrance

Filed under: Uncategorized — Tags: , — m759 @ 6:00 AM

From "The Metaphysics of Entities," a post of Sept. 20, 2014 —

Anthony Lane in The New Yorker  on a 2013 film —

"The hero of 'The Zero Theorem' is a computer genius
called Qohen Leth (Christoph Waltz)…. He is the sole
resident of a derelict church, where, on a crucifix in front
of the altar, the head of Christ has been replaced by a
security camera. No prayers are ever said, and none are

Related dialogue from a 2008 film

Another view of the Zero Theorem derelict church —

Friday, September 15, 2017

Space Art

Filed under: Uncategorized — m759 @ 2:05 PM

Silas in "Equals" (2015) —

Ever since we were kids it's been drilled into us that 
Our purpose is to explore the universe, you know.
Outer space is where we'll find 
…  the answers to why we're here and 
…  and where we come from.

Related material — 

'The Art of Space Art' in The Paris Review, Sept. 14, 2017

See also Galois Space  in this  journal.

Thursday, September 14, 2017

Found …

Filed under: Uncategorized — m759 @ 11:02 PM

( A sequel to the previous post, Lost )

From a link, "A Little Boy and a Little Girl," found in a Log24
search for Andersen + Atlantic

"A few flakes of snow were falling, and one of them, rather larger
than the rest, alighted on the edge of one of the flower boxes.
This snow-flake grew larger and larger, till at last it became
the figure of a woman, dressed in garments of white gauze,
which looked like millions of starry snow-flakes linked together.
She was fair and beautiful, but made of ice—
shining and glittering ice." — "The Snow Queen"

Related material —

Analogue of the little boy from "The Snow Queen" in "Equals" (2015) —

"Nice piece of ice." — Brendan Fraser in
"The Mummy: Tomb of the Dragon Emperor" (2008).

See also the concept that everything adds up to nothing in
"The Zero Theorem" (2013) 

and the Conway-Norton-Ryba theorem (2017).


Filed under: Uncategorized — m759 @ 11:32 AM

"You grab your experiential richness where you find it."

— Roberta Smith, "Postwar Art Gets a Nervy Makeover"
     in the online New York Times  today

Group Actions

Filed under: Uncategorized — m759 @ 2:40 AM

From this journal on the above publication date —

Related material — Geometric Group Theory in this journal.

Wednesday, September 13, 2017

Summer of 1984

Filed under: Uncategorized — Tags: — m759 @ 9:11 AM

The previous two posts dealt, rather indirectly, with
the notion of "cube bricks" (Cullinane, 1984) —

Group actions on partitions —

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168

Another mathematical remark from 1984 —

For further details, see Triangles Are Square.

Tuesday, September 12, 2017

Think Different

Filed under: Uncategorized — Tags: — m759 @ 11:00 PM

The New York Times  online this evening

"Mr. Jobs, who died in 2011, loomed over Tuesday’s
nostalgic presentation. The Apple C.E.O., Tim Cook,
paid tribute, his voice cracking with emotion, Mr. Jobs’s
steeple-fingered image looming as big onstage as
Big Brother’s face in the classic Macintosh '1984' commercial."

James Poniewozik 

Review —

Thursday, September 1, 2011

How It Works

Filed under: Uncategorized — Tags:  — m759 @ 11:00 AM 

"Design is how it works." — Steven Jobs (See Symmetry and Design.)

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."
 — "Block Designs," by Andries E. Brouwer

. . . .

See also 1984 Bricks in this journal.

Chin Music

Filed under: Uncategorized — Tags: — m759 @ 9:45 PM

Related image suggested by "A Line for Frank" (Sept. 30, 2013) —


Filed under: Uncategorized — Tags: — m759 @ 12:18 PM

"Truth and clarity remained his paramount goals…"

— Benedict Nightingale in today's online New York TImes  on an
English theatre director, founder of the Royal Shakespeare Company,
who reportedly died yesterday at 86.

See also Paramount in this  journal.

Monday, September 11, 2017

New Depth

Filed under: Uncategorized — Tags: — m759 @ 9:48 PM

A sentence from the New York Times Wire  discussed in the previous post

NYT Wire on Len Wein: 'Through characters like Wolverine and Swamp Thing, he helped bring a new depth to his art form.'

"Through characters like Wolverine and Swamp Thing,
he helped bring a new depth to his art form."

For Wolverine and Swamp Thing in posts related to a different
art form — geometry — see …

More Ado

Filed under: Uncategorized — m759 @ 7:59 PM

A flashback from the previous post, "Leave a Space" —

From my RSS feed this evening —

Related material from the Web

Len Wein reportedly died on Sunday.
An image from this  journal on Sunday —

" There was an Outer Limits episode called 'The Architects of Fear.' 
I thought: 'Wow. That’s a bit close to our story.' " — Alan Moore


See as well a Log24 post from the above Bleeding Cool  date,
2013-01-29, for more comic-book-related material.

“Leave a Space”

Filed under: Uncategorized — m759 @ 9:00 AM

The title is from a play, "Jumpers," by Tom Stoppard.

In memory of Abbott Lowell Cummings, who reportedly
died on May 29, 2017 —

Sunday, September 10, 2017

Music for a Dark and Stormy Night

Filed under: Uncategorized — m759 @ 4:28 AM

See also Misery in this journal.

Saturday, September 9, 2017

How It Works

Filed under: Uncategorized — m759 @ 8:48 PM

Del Toro and the History of Mathematics ,
Or:  Applied Bullshit Continues


For del Toro


For the history of mathematics —

Thursday, September 1, 2011

How It Works

Filed under: Uncategorized — Tags:  — m759 @ 11:00 AM 

"Design is how it works." — Steven Jobs (See Symmetry and Design.)

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."
 — "Block Designs," by Andries E. Brouwer

. . . .

Mathematics and Metaphysics

Filed under: Uncategorized — m759 @ 9:59 AM

"For use of the Kummer surface in Buddhist metaphysics . . ."
is a phrase from a search in this journal for Nanavira.

See as well Buddhism in the previous post.

Water Sounds for Developers

Filed under: Uncategorized — m759 @ 1:44 AM

Tabletop fountain from the opening video of  Apple's 2017
Worldwide Developer Conference

Waterfall on the way to a Buddhist temple in "Listening" (2014 film) —

For some background, see Snow White Meets Apple (June 7, 2017)
and Enchanting (June 9, 2017).

See also Snow White in the previous post.

Friday, September 8, 2017


Filed under: Uncategorized — m759 @ 9:35 PM

(Continued from the post on Vanity Fair  of September 7 with that title.)

Nivea  comes from the Latin word 
niveus/nivea/niveum , meaning 'snow-white.' "


Applied Bullshit

Filed under: Uncategorized — m759 @ 8:08 PM

A page from a book suggested by the previous post

Another approach to "the midrash  of space" —


Bullshit Studies

Filed under: Uncategorized — m759 @ 2:02 AM

Or:  Nine, Eight, Seven . . .

See as well
Rainbow Countdown.

Thursday, September 7, 2017

Lead Us Not

Filed under: Uncategorized — m759 @ 8:28 PM

Windmill vs. Diamond

Filed under: Uncategorized — m759 @ 1:44 PM

"… I miss the black-and-whiteness of the 20th century."

Vanity Fair  editor Graydon Carter  in The New York Times  today

A note for Carter —


Filed under: Uncategorized — m759 @ 1:01 PM

See also Sweet Smell in this  journal.

His Friend Irma

Filed under: Uncategorized — m759 @ 12:00 AM

"As the film progresses, the plot mirrors
the disorientation felt by the film's director."

— Wikipedia, Irma Vep

The director in question is one Olivier Assayas.

See also Assayas in this journal.

Wednesday, September 6, 2017

Nice Piece of Ice

Filed under: Uncategorized — m759 @ 11:00 PM

Cue the Munchkins

Filed under: Uncategorized — m759 @ 9:23 PM

Related material — 

For example —

Wonders of the Invisibilia World

Filed under: Uncategorized — m759 @ 4:07 PM

"Talk amongst yourselves."

National Comedy

Filed under: Uncategorized — Tags: — m759 @ 3:20 PM

From a search in this journal for "More Holy Water" —

A post of January 7, 2011, has the following:

"Infinite Jest… now stands as the principal contender
for what serious literature can aspire to
in the late twentieth and early twenty-first centuries."

— All Things Shining, a work of pop philosophy
published January 4th


"You're gonna need a bigger boat."
— Roy Scheider in "Jaws"

"We're gonna need more holy water."
— "Season of the Witch" 


Filed under: Uncategorized — m759 @ 2:00 PM

In memory of weather buff Stephen Fybish,
who reportedly died at 80 on August 30.

The Eye of Harvey meets the Eye of Shangri-La


Today's New York Times  on Fybish

"Winter was his favorite season. He liked to taste the snow,
'since that’s one of the purer forms of water that we’re likely
to encounter here in the Big Apple,' he said."

— Sam Roberts

The Spectre of Capitalism

Filed under: Uncategorized — m759 @ 1:01 PM

Christoph Waltz stars in the new film "Tulip Fever" —


Promotional summary

Related material — Another Waltz film, and a document commemorated
by a Boston University professor in the previous post


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