Friday, June 2, 2017

Squares and Circles, 1936

Filed under: Uncategorized — m759 @ 12:45 AM

"This essay and exhibition might well be dedicated
to those painters of squares and circles
(and the architects influenced by them)
who have suffered at the hands of
philistines with political power."

Alfred H. Barr, Jr. in Cubism and Abstract Art ,
The Museum of Modern Art, New York, 1936,
    page 18

Thursday, June 1, 2017

Art Spaces (For Frank Sinatra and Janet Leigh)

Filed under: Uncategorized — m759 @ 12:42 PM

From The New York Times  today —

MoMA’s Makeover Rethinks the Presentation of Art

"The new design calls for more gallery space and a transformed
main lobby, physical changes that, along with the re-examination
of art collections and diversity, represent an effort to open up MoMA
and break down the boundaries defined by its founder, Alfred Barr.

'It’s a rethinking of how we were originally conceived,' Glenn D. Lowry,
the museum’s director, said in an interview at MoMA. 'We had created
a narrative for ourselves that didn’t allow for a more expansive reading
of our own collection, to include generously artists from very different

Wednesday, May 31, 2017

Frequently Thought Together

Filed under: Uncategorized — m759 @ 2:29 PM

From Amazon.com today —

Related material — Tyson in this journal.

Update of 2:48 PM the same day —

For Brooke Gladstone untainted by the above questionable
associates, see a piece from May 18, 2011.

The Pinterest Directive …

Filed under: Uncategorized — Tags: — m759 @ 2:12 AM


Tuesday, May 30, 2017

Diamond Bits

Filed under: Uncategorized — Tags: — m759 @ 1:21 PM

Or:  Putting the Pinter in Pinterest

From "A Poem for Pinter"

Log24 on Oct. 13, 2005

The Guardian on Harold Pinter, winner of this year's Nobel Prize for Literature:

"Earlier this year, he announced his decision to retire from playwriting in favour of poetry,"

Michael Muskal in today's Los Angeles Times:

"Pinter, 75, is known for his sparse and thin style as well as his etched characters whose crystal patter cuts through the mood like diamond drill bits."

Robert Stone, A Flag for Sunrise  (See Jan. 25):

"'That old Jew gave me this here.'  Egan looked at the diamond….  'It's worth a whole lot of money– you can tell that just by looking– but it means something, I think.  It's got a meaning, like.'

'Let's see,' Egan said, 'what would it mean?'  He took hold of Pablo's hand cupping the stone and held his own hand under it.  '"The jewel is in the lotus," perhaps that's what it means.  The eternal in the temporal….'"

See as well an image in a link target from today's noon post

The Pinterest Directive

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

Click image for some background.

Monday, May 29, 2017

Ordinary Evening in a Paper Town

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

Click the above search for a larger version.

The American Sublime

Filed under: Uncategorized — m759 @ 12:12 PM

Line from "Vide," a post of June 8, 2014 —

Vide  Classical Geometry in Light of Galois Geometry.

Recall that vide  means different things in Latin and in French.

See also Stevens + "Vacant Space" in this journal.

Sunday, May 28, 2017

Freeze Frame

Filed under: Uncategorized — m759 @ 11:15 PM

In memory of John Severson, the founder of Surfer  magazine —

"Freeze-frame surfer, and as a live Hendrix 'E Z Rider' blares
over the soundtrack, the surfer lifts his arms and rises like Christ
into the sky."

Rolling Stone , August 5, 1971, on the film Rainbow Bridge

Severson reportedly died on Friday, May 26, 2017.

For a rather different sort of surfing, see this  journal on that date.

Bullshit Studies

Filed under: Uncategorized — m759 @ 2:24 PM

The previous post dealt with a symbol of an apparently
admirable "social development environment."

For a less admirable development environment, see a film
described in a July 2014 story from Film New Europe —

"Shooting started in Bucharest on 9 June 2014. . . ."

This  journal on 8-9 June 2014 —

Banner of a Strange Device

Filed under: Uncategorized — Tags: — m759 @ 2:34 AM

Click image for further details.

Related material — Heaven Arising in this journal.

Saturday, May 27, 2017

Serious Songs

Filed under: Uncategorized — m759 @ 4:44 PM

Serious Synchronology

Filed under: Uncategorized — m759 @ 11:25 AM

The above image includes a July 9, 2014, file photo.

From this journal on that date

“Be serious, because
The stone may have contempt
For too-familiar hands”

— Adrienne Rich in “The Diamond Cutters” (1955)

Friday, May 26, 2017

Power Tools …

Filed under: Uncategorized — m759 @ 11:22 PM

… at the Church of Synchronology

See also Lyche in this journal on April 13.

Night at the Museum

Filed under: Uncategorized — m759 @ 10:05 PM

In memory of an author who reportedly 
died on Wednesday, May 24.

Day at the Museum

Filed under: Uncategorized — m759 @ 12:00 PM

From the 1994 film review linked to above —

Reality Bites – Peter Travers in Rolling Stone , Feb. 1994

"Life after college – the time between graduation and
finding a job that pays your rent without making you puke.
Panic time. By spinning something fresh out of something
familiar, Reality Bites  scores the first comedy knockout of
the new year. It also brings out the vibrant best in Winona
Ryder and Ethan Hawke as friends who resist being lovers,
makes a star of Janeane Garofalo as their tart-tongued
buddy and puts Ben Stiller on the map as a director." 

Taormina Test

Filed under: Uncategorized — m759 @ 2:00 AM

Mark Zuckerberg in a commencement speech
at Harvard yesterday —

"Movies and pop culture get this all wrong.
The idea of a single eureka moment
is a dangerous lie. It makes us feel inadequate
since we haven’t had ours. It prevents people
with seeds of good ideas from getting started.
Oh, you know what else movies get wrong about
innovation? No one writes math formulas on glass.
That’s not a thing."

The Thing from Taormina —

Headline Style at The New York Times

Filed under: Uncategorized — m759 @ 1:00 AM

Sounds like a job for Amy Adams.

Amy Adams at the Lancia Café in Taormina, Sicily, on June 15, 2013.
Adams was in Taormina for the Italian premiere of her Superman film.

Thursday, May 25, 2017

The Date

Filed under: Uncategorized — m759 @ 11:07 PM

The date in Urban Dictionary of an entry on the phrase
"Ultima Thule" is January 25, 2008.

See that date in this journal.

In the Bag

Filed under: Uncategorized — m759 @ 2:56 PM

Presidential Address of November 19, 1976

Filed under: Uncategorized — Tags: — m759 @ 2:14 PM

Deep Problems in the Faculty Lounge

Filed under: Uncategorized — Tags: — m759 @ 7:14 AM

The Story of Six Continues

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

A post of March 22, 2017, was titled "The Story of Six."

Related material from that date —

"I meant… a larger map." — Number Six in "The Prisoner"

Tuesday, May 23, 2017

Pursued by a Biplane

Filed under: Uncategorized — m759 @ 9:41 PM

The Galois Tesseract as a biplane —

Match Book

Filed under: Uncategorized — m759 @ 7:42 PM

IMAGE- Roger O. Thornhill's monogrammed 'ROT' matchbook in 'North by Northwest'

Click image for related posts.

Logos Review

Filed under: Uncategorized — m759 @ 1:32 PM

From Balboa Press —

More than a pretty face designed to identify a product, a logo combines powerful elements super boosted with sophisticated branding techniques. Logos spark our purchasing choice and can affect our wellbeing.

Lovingly detailed, researched and honed to deliver a specific intention, a logo contains a unique dynamic that sidesteps our conscious mind. We might not know why we prefer one product over another but the logo, designed to connect the heart of the brand to our own hearts, plays a vital part in our decision to buy.

The power of symbols to sway us has been recognised throughout history. Found in caves and in Egyptian temples they are attributed with the strength to foretell and create the future, connect us with the divine and evoke emotions, from horror to ecstasy, at a glance.  The new symbols we imbue with these awesome powers are our favourite brand logos.

• Discover the unconscious effect of these modern symbols that thrust our most successful global corporations into the limelight and our lives.

• Learn to make informed choices about brands.

• Find out how a logo reflects the state of the brand and holds it to account.

The date of the above remarks on a logo change, March 24, 2016,
suggests a review of a Log24 post from that date —

In Memoriam

Filed under: Uncategorized — m759 @ 11:26 AM

"From 1962 to 1969 Mr. Moore was Simon Templar . . . ."

The New York Times  online today

A related post — "Intruders for Mira" (Sept. 28, 2015).

Monday, May 22, 2017

History of Mathematics

Filed under: Uncategorized — m759 @ 6:22 AM

See also Plücker in this  journal.

Sunday, May 21, 2017

Rota on Beauty

Filed under: Uncategorized — m759 @ 8:00 PM

Tiptoe through the tulips with Rota and Erickson:

Attempts have been made to string together beautiful mathematical results and to present them in books bearing such attractive titles as The One Hundred Most Beautiful Theorems of Mathematics. Such anthologies are seldom found on a mathematician’s bookshelf.

The beauty of a theorem is best observed when the theorem is presented as the crown jewel within the context of a theory.

— Gian-Carlo Rota in Indiscrete Thoughts

See also Martin Erickson in this journal . . . 

Saturday, May 20, 2017


Filed under: Uncategorized — m759 @ 2:00 PM

"But the Work shall not be wholly lost:
For it will, as he believ’d, appear once more,
In a new & more perfect Edition,
Corrected and Amended
By the Author." — Benjamin Franklin

The Ludicrous Extreme

Filed under: Uncategorized — m759 @ 1:04 AM

From a review of the 2016 film "Arrival"

"A seemingly off-hand reference to Abbott and Costello
is our gateway. In a movie as generally humorless as Arrival,
the jokes mean something. Ironically, it is Donnelly, not Banks,
who initiates the joke, naming the verbally inexpressive
Heptapod aliens after the loquacious Classical Hollywood
comedians. The squid-like aliens communicate via those beautiful,
cryptic images. Those signs, when thoroughly comprehended,
open the perceiver to a nonlinear conception of time; this is
Sapir-Whorf taken to the ludicrous extreme."

Jordan Brower in the Los Angeles Review of Books

Further on in the review —

"Banks doesn’t fully understand the alien language, but she
knows it well enough to get by. This realization emerges
most evidently when Banks enters the alien ship and, floating
alongside Costello, converses with it in their picture-language.
She asks where Abbott is, and it responds — as presented
in subtitling — that Abbott 'is death process.'
'Death process' — dying — is not idiomatic English, and what
we see, written for us, is not a perfect translation but a
rendering of Banks’s understanding. This, it seems to me, is a
crucial moment marking the hard limit of a human mind,
working within the confines of human language to understand
an ultimately intractable xenolinguistic system."

For what may seem like an intractable xenolinguistic system to
those whose experience of mathematics is limited to portrayals
by Hollywood, see the previous post —

van Lint and Wilson Meet the Galois Tesseract.

The death process of van Lint occurred on Sept. 28, 2004.

See this journal on that date

van Lint and Wilson Meet the Galois Tesseract*

Filed under: Uncategorized — m759 @ 12:12 AM

Click image to enlarge.

The above 35 projective lines, within a 4×4 array —

The above 15 projective planes, within a 4×4 array (in white) —

* See Galois Tesseract  in this journal.

Friday, May 19, 2017

From Algebra to Geometry

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

Heptapod Fluency at Yale

Filed under: Uncategorized — Tags: — m759 @ 2:34 PM

". . . riverrun, past Eve and Adam's . . . ."

Cover Girl

Filed under: Uncategorized — Tags: — m759 @ 2:02 PM

See also the previous post.

In the Service of Narrative

Filed under: Uncategorized — Tags: — m759 @ 12:40 PM

Quoted here on St. Stephen's Day, 2008

“Wayne C. Booth’s lifelong
 study of the art of rhetoric
 illuminated the means
 by which authors seduce,
 cajole and lie to their readers
 in the service of narrative.”

— New York Times, Oct. 11, 2005

Booth was a native of American Fork, Utah.

Dance, Dance, Dancin’

Filed under: Uncategorized — m759 @ 12:00 PM

Thursday, May 18, 2017

Knock, Knock, Knockin’

Filed under: Uncategorized — m759 @ 9:05 PM

Related material from April 20, 2017

A footnote from page 229 of Sydney Padua's April 21, 2015, book
on Lovelace and Babbage —

Marquee Moon continues

Filed under: Uncategorized — m759 @ 1:01 PM

Exit stage right, enter stage center, exit stage left —

A search for "Darkness Doubled" in this journal yields a link 
to a post on "endgame art" which leads in turn to a post with
the following quotation —

"It is proposed that the two structures of grid and target
are the symbolic vehicles par excellence . . . ."

— Review of Rudolf Arnheim's The Power of the Center:
A Study of Composition in the Visual Arts
  (U. of Calif. Press, 1982).
Review by David A. Pariser, Studies in Art Education , Vol. 24, No. 3
(1983), pp. 210-213.

"Darkness Doubled" is a phrase from a song titled "Marquee Moon."

Bit Plot

Filed under: Uncategorized — Tags: — m759 @ 1:40 AM

From a May 15 review of a new book by Douglas Coupland, author of
the 1991 book Generation X: Tales for an Accelerated Culture .

"Minimalists are actually extreme hoarders:
 they hoard space." — Douglas Coupland

The title of Coupland's new book suggests a review of Schmeikal 
in this  journal

Coupland's above remark on hoarders suggests a look at
a wealthy California collector whom, were he not wealthy,
some might call a hoarder.

“I buy things because they strike an emotional bell,
they appeal to my curiosity, to the thrill of discovery
of the extraordinary in the ordinary,” Mr. Cotsen told
The Denver Post in 1998. “They appeal to my sense
of humor, and to my search for the beauty in simplicity.”

He added, “I decided I had a collection when there was
no more space to put anything.”

By the time he died at 88 on May 8 in Beverly Hills, Calif.,
Mr. Cotsen (pronounced COAT-zen) had donated about
half of the material in his collections to institutions like the
Asian Art Museum in San Francisco, Princeton University
and the Museum of International Folk Art in Santa Fe, N.M.

Richard Sandomir in the online New York Times , May 17

Cotsen reportedly died at 88 on May 8. 

See also this  journal on that date —

Monday, May 8, 2017

New Pinterest Board

Filed under: Uncategorized — m759 @ 9:29 PM 


Wednesday, May 17, 2017


Filed under: Uncategorized — m759 @ 11:11 AM

"Follow the Blood Arroyo to the place
where the snake lays its eggs."

— Westworld, Season 1, Episode 2,
air date October 9, 2016

"Googlaa pluplu." — Finnegans Wake

"Not far downstream was a dry channel
 where the river had run once . . . ."

— Norman Maclean, A River Runs Through It

See also the previous post and posts tagged Riverrun.

Tuesday, May 16, 2017

For Westworld’s Man in Black

Filed under: Uncategorized — m759 @ 12:00 PM

From University of Chicago Press in 1984:

'Erring,' by Mark C. Taylor, U. of Chicago Press, 1984

"Drawing on Hegel, Nietzsche, Derrida,
and others, Mark Taylor extends—and
goes well beyond—pioneering efforts. . . . "
—G. Douglas Atkins, 
Philosophy and Literature

Update at noon on May 16 —

"Follow the Blood Arroyo to the place
where the snake lays its eggs."

— Westworld, Season 1, Episode 2,
air date October 9, 2016

This suggests a review of Derrida + Serpent 
in this journal.

Monday, May 15, 2017


Filed under: Uncategorized — m759 @ 4:00 PM

For Penelope Reed Doob…

Filed under: Uncategorized — Tags: — m759 @ 2:40 PM

who reportedly died on March 11 —

Posts now tagged Labyrinth for Penelope.

See also the previous post and this journal on the above date.

Appropriation at MoMA

Filed under: Uncategorized — m759 @ 1:14 PM

For example, Plato's diamond as an object to be transformed —

Plato's diamond in Jowett's version of the Meno dialogue

Versions of the transformed object —

See also The 4×4 Relativity Problem in this journal.

Saturday, May 13, 2017


Filed under: Uncategorized — m759 @ 10:15 PM

This suggests

See as well Heidegger for Passover.

Thursday, May 11, 2017

In Memoriam

Filed under: Uncategorized — m759 @ 9:00 PM

See also Chandrasekharan in a Log24 search for Weyl+Schema.

Update of 6:16 AM Friday, May 12, 2017 —

The phrase "smallest perfect universe" is from Burkard Polster (2001).

Annals of Hype

Filed under: Uncategorized — m759 @ 1:00 PM

Reopening the Tesseract

Filed under: Uncategorized — Tags: — m759 @ 11:27 AM

Dialogue from the film "Interstellar" —

Cooper: Did it work?

TARS: I think it might have.

Cooper: How do you know?

TARS: Because the bulk beings
            are closing the tesseract.

Related material — "Bulk apperception"
in this journal, and

Wednesday, May 10, 2017

In the Park with Yin and Yang

Filed under: Uncategorized — Tags: — m759 @ 10:35 PM

In memory of an art dealer who 
reportedly died on Sunday, May 7—

Decorations for a Cartoon Graveyard

Tuesday, May 9, 2017

Art Space at Princeton

Filed under: Uncategorized — m759 @ 9:00 PM

A recent book on mathematics and art
from Princeton University Press, with a
foreword by Neil deGrasse Tyson —

Not to put too fine a point on it —

From an earlier post

Text and Context

Filed under: Uncategorized — Tags: — m759 @ 2:11 PM

Some context for the previous post, which was about
a new Art Space  Pinterest board

Monday, May 8, 2017

New Pinterest Board

Filed under: Uncategorized — Tags: — m759 @ 9:29 PM


Sunday, May 7, 2017

Sunday in the Park

Filed under: Uncategorized — m759 @ 2:00 PM

Art Space

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

Detail of an image in the previous post

This suggests a review of a post on a work of art by fashion photographer
Peter Lindbergh, made when he was younger and known as "Sultan."

The balls in the foreground relate Sultan's work to my own.

Linguistic backstory —

The art space where the pieces by Talman and by Lindbergh
were displayed is Museum Tinguely in Basel.

As the previous post notes, the etymology of "glamour" (as in
fashion photography) has been linked to "grammar" (as in 
George Steiner's Grammars of Creation ). A sculpture by 
Tinguely (fancifully representing Heidegger) adorns one edition
of Grammars .

Yale University Press, 2001:

Tinguely, "Martin Heidegger,
Philosopher," sculpture, 1988

Saturday, May 6, 2017


Filed under: Uncategorized — m759 @ 9:42 PM

Requiem for a Magnate

Filed under: Uncategorized — m759 @ 3:09 PM

The New York Times  reports a Monday death

Talk Amongst Yourselves

Filed under: Uncategorized — m759 @ 1:45 PM

A search for recent activity by the Liesl Schillinger of
the previous post yields

Talk amongst yourselves.

Midrash for elitists —

The novel 2666  by Roberto Bolaño (see Bolaño in this journal
and Adam Kirsch in the above) and

Matt Helm in Donald Hamilton's 1962 novel The Silencers

"I cleaned up a little, went downstairs, and, rather than
get the pickup out of hock, paid sixty cents to have a taxi
take me to the international bridge. Two cents let me walk
across the Rio Grande into Mexico. The river bed was
almost dry. The usual skinny dark kids were playing their
usual incomprehensible games around the pools below
the bridge. Stepping off the south end of the span, I was
in a foreign country. Mexicans will tell you defensively that
Juarez isn't Mexico-that no border town is-but it certainly
isn't the United States of America, even though Avenida
Juarez, the street just south of the bridge, does bear a
certain resemblance to Coney Island. I brushed off a
purveyor of dirty pictures and shills for a couple of dirty
movie houses." 

Midrash for populists —

The photo in the New York Times  obituary
above is from the 1966 film based, very
loosely, on Donald Hamilton's The Silencers.


Filed under: Uncategorized — m759 @ 12:12 PM

Suggested by remarks in last night's link to posts tagged Swimmer —

"A professor is all-powerful, Gareth liked to tell his daughter,
he puts ‘a veritable frame around life,’ and ‘organizes the
unorganizable. Nimbly partitions it into modern and postmodern,
renaissance, baroque, primitivism, imperialism and so on. . . .'"

— From a review by Liesl Schillinger in the Aug. 13, 2006,
    New York Times  of a new novel by Marisha Pessl:
    Special Topics in Calamity Physics.

"A veritable frame" —

"Nimbly partitions" —

See also partitioning  in posts tagged  Crimson Abyss.

Friday, May 5, 2017

For the Gods of Mexico*

Filed under: Uncategorized — m759 @ 10:26 PM

A swimmer who won Olympic gold in 1936 reportedly died today.

Related material from August 4, 2008

Jodie Foster in 'Contact' viewing the opening of the 1936 Olympics

Jodie Foster and the
opening of the 1936 Olympics

“Heraclitus…. says: ‘The ruler
 whose prophecy occurs at Delphi
 oute legei oute kryptei,
 neither gathers nor hides,
 alla semainei, but gives hints.'” 

 — An Introduction to Metaphysics,
 by Martin Heidegger,
Yale University Press
paperback, 1959, p. 170

Posts tagged Swimmer may or may not be relevant.

* See … 

Por el Cinco de Mayo

Filed under: Uncategorized — m759 @ 11:18 AM

Pre-Linguistic Thought

Filed under: Uncategorized — m759 @ 11:05 AM

" I know for sure that my best insights (those which 
are not just routine calculations) are pre-linguistic, and
I struggle to put them into words . . . ."

Peter J. Cameron today

See also "George Steiner" + Language in this  journal.

A related figure —

Thursday, May 4, 2017

Where Entertainment Is God

Filed under: Uncategorized — m759 @ 1:45 PM


See a related obituary from Saint Michael's.  
This is for a mathematics professor who reportedly died on March 13.
See as well this  journal on that date and the night before.

In Memory of Burton Watson

Filed under: Uncategorized — m759 @ 12:00 AM

From the NYT obit of Burton Watson, a translator of classical Chinese and Japanese literature

From a post on April 1, the reported date of his death —

Cube symmetry subgroup of order 8 from 'Geometry and Symmetry,' Paul B. Yale, 1968, p.21

Wednesday, May 3, 2017

The Game

Filed under: Uncategorized — m759 @ 11:00 PM

Launch of a website on Feb. 12, 2016 —

This journal on the same date —

Bosch House

Filed under: Uncategorized — m759 @ 10:00 PM

Continued from Music Box – The Theory (April 21)
in memory of jazz enthusiast Ann Sneed,
who reportedly died in Las Vegas at 87 on that date.

Hollywood homicide detective Harry Bosch at home.

See also Mother of Beauty (April 7, 2004).

One Fell Shmoop

Filed under: Uncategorized — m759 @ 9:00 PM

Another example

"Nam Sibyllam quidem Cumis ego ipse oculis meis
vidi in ampulla pendere, et cum illi pueri dicerent:
Sibylla ti theleis; respondebat illa: apothanein thelo."

Tuesday, May 2, 2017

Look Inside

Filed under: Uncategorized — m759 @ 10:35 PM

Or not.

Image Albums

Filed under: Uncategorized — m759 @ 1:05 PM

Pinterest boards uploaded to the new m759.net/piwigo

Diamond Theorem 

Diamond Theorem Correlation

Miracle Octad Generator

The Eightfold Cube

Six-Set Geometry

Diamond Theory Cover

Update of May 2 —

Four-Color Decomposition

Binary Galois Spaces

The Galois Tesseract

Update of May 3 —

Desargues via Galois

The Tetrahedral Model

Solomon's Cube

Update of May 8 —

Art Space board created at Pinterest

Monday, May 1, 2017


Filed under: Uncategorized — m759 @ 3:15 PM

I added today a few mathematics images to my Pinterest account —

https://www.pinterest.com/stevenhcullinane/ .

Sunday, April 30, 2017


Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

See also the Potter  and the field  of the previous post.

"Authority is connected with the word ‘auto’, which means ‘self’,
as in ‘automobile’ and ‘autobiography’. But if authority is related
to the ‘self’, which self should we start with?"

— Potter, Ellis. How Do You Know That?  (p. 7), Kindle Edition. 

Click the above book cover for a post on
the four-square Chinese symbol for 'field.'

* A footnote . . . 

for those who, like the Potter of the previous post,
are epistemologically challenged

Related scripture —

"Authority is connected with the word ‘auto’, which means ‘self’,
as in ‘automobile’ and ‘autobiography’. But if authority is related
to the ‘self’, which self should we start with?"

— Potter, Ellis. How Do You Know That?  (p. 7), Kindle Edition. 

"Off the top of my head . . . ." — Phrase attributed to Ellis Potter

For the Church of Synchronology — See also this  journal
on the above interview date — September 20, 2010
as well as "Smallest Perfect" and "Unfolding."

Saturday, April 29, 2017

For the Church of Synchronology*

Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

A book cover from Amazon.com —

See also this journal on the above date, September 27, 2016 —

Chomsky and Levi-Strauss in China,
Or: Philosophy for Jews

Some other remarks related to the figure on the book cover —

Field Theology and Galois Window.

* See Synchronology in this journal.

Friday, April 28, 2017

A Problem for Houston…

Filed under: Uncategorized — m759 @ 9:42 PM

And a memorable Houston lawyer who reportedly died today
at 90 at his home in Trinity, Texas

"Da hats ein Eck . "

See as well Sunday Review and Clooney Omega in this journal.

Art Space

Filed under: Uncategorized — m759 @ 4:35 PM

From "Seize the Dia," a post of April 6, 2013 —

"The artists demanded space
in tune with their aesthetic."

— "The Dia Generation," 
     by Michael Kimmelman

“I wanted space people could be involved in.”

— An artist who reportedly died yesterday

Mysterious Ways

Filed under: Uncategorized — m759 @ 3:14 PM

Subsequent Fiascos

Filed under: Uncategorized — m759 @ 2:56 PM

Prose style from this morning's online New York Times —

"Subsequent fiascos confirmed that this elite
was too entrenched to be displaced by its failures
and too arrogant to learn from them."

and from Paul Simon

"The words of the prophets
are written on the subway walls"

A Generation Lost in Space

Filed under: Uncategorized — m759 @ 2:00 PM

The title is from Don McLean's classic "American Pie."

A Finite Projective Space —

A Non-Finite Projective Space —

As In :: A Sin

Filed under: Uncategorized — Tags: — m759 @ 1:09 PM

For the Church of Simultaneous Devices

Related art —

Thursday, April 27, 2017

Partner, Anchor, Decompose

Filed under: Uncategorized — Tags: — m759 @ 12:31 PM

See also a figure from 2 AM ET April 26 

" Partner, anchor, decompose. That's not math.
That's the plot to 'Silence of the Lambs.' "

Greg Gutfeld, September 2014

Road to Hell

Filed under: Uncategorized — m759 @ 1:28 AM

An image in the previous post referred to something called
"universal logic," touted in 2015 by the publisher Birkhäuser*
as a "new interdisciplinary field."

From this journal on April 20 last year —

Universal Logic and the Road to Hell.

* See the webpage excerpted below.

Wednesday, April 26, 2017


Filed under: Uncategorized — Tags: — m759 @ 6:18 PM

See also "Cornerstone" in this journal and

A sidebar from a Google search today —

'The Square of Opposition: A Cornerstone of Thought'

This suggests a review of posts now tagged Obelisk,
which include


Filed under: Uncategorized — Tags: — m759 @ 2:21 PM

From a post of March 16, 2017

"Bulk apperception" is defined in the Westworld script 
as "basically, overall intelligence."  The phrase is apparently
unique to Westworld.

These two words do, however, nearly  occur together
in at least one book — Andrew Feffer's The Chicago
Pragmatists and American Progressivism


Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

A post in memory of film director Jonathan Demme

'What Goes Around Comes Around: The Films of Jonathan Demme'

A Tale Unfolded

Filed under: Uncategorized — Tags: , — m759 @ 2:00 AM

A sketch, adapted tonight from Girl Scouts of Palo Alto

From the April 14 noon post High Concept

From the April 14 3 AM post Hudson and Finite Geometry

IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

From the April 24 evening post The Trials of Device

Pentagon with pentagram    

Note that Hudson's 1905 "unfolding" of even and odd puts even on top of
the square array, but my own 2013 unfolding above puts even at its left.

Tuesday, April 25, 2017

Philosophy Notes

Filed under: Uncategorized — m759 @ 10:01 AM

Monday, April 24, 2017

In Memory of Robert M. Pirsig

Filed under: Uncategorized — m759 @ 11:06 PM

A cover for his classic book is displayed in
this evening's New York Times  obituary for Pirsig.

Related material in this  journal —

The Wrench and the Nut.

The Trials of Device

Filed under: Uncategorized — Tags: — m759 @ 3:28 PM

"A blank underlies the trials of device"
— Wallace Stevens, "An Ordinary Evening in New Haven" (1950)

A possible meaning for the phrase "the trials of device" —

See also Log24 posts mentioning a particular device, the pentagram .

For instance —

Related figures

Pentagon with pentagram    

Sunday, April 23, 2017

A Small Model Composition…

Filed under: Uncategorized — m759 @ 9:29 PM

…  A Scottish Play  suggested by  …

  • A passage quoted here Friday night

    "The Hegel action is applied to understand creative processes
    in two classical compositions — Beethoven’s Hammerklavier
    Sonata op. 106, and Liszt’s Mephisto Walzer — but also to
    the creation of a small model composition."

— From the abstract of  "Hegel’s Conceptual 
Group Action on Creative Dynamics in Music
," by 
Guerino Mazzola and Maria Mannone

  • A news story from today about a death yesterday —

  • An informative weblog post from Shakespeare's Birthday
    (today's date, April 23) three years ago 


Illustration —

A Day in June

Filed under: Uncategorized — m759 @ 12:25 PM

Saturday, April 22, 2017

Science Marches On

Filed under: Uncategorized — m759 @ 1:00 PM

Connoisseurs of bullshit who enjoyed the previous post
might also enjoy the following:

The previous two posts introduced Mazzola's noxious combination of 
category theory and Hegel. The current version (Rev. 254) of the above 
nLab "Science of Logic" article, though not by Mazzola, displays this
combination in its full hideous splendor.

Some posts in this  journal that might be viewed as leading up to 
the original Sept. 2, 2012, "Science of Logic" article are now tagged
Death Warmed Over.

Friday, April 21, 2017

Music Box — The Theory

Filed under: Uncategorized — Tags: — m759 @ 11:30 PM

For the music box of the title, see the previous post.

See also Mazzola on the Glass Bead Game 
(Facebook date June 7, 2016)
and the Log24 post Symmetry (May 3, 2016).

Music Box

Filed under: Uncategorized — Tags: — m759 @ 3:07 PM

Guitart et al. on 'box' theory of creativity

A box from the annus mirabilis

See Hudson's 4×4 array.

Related material —

Thursday, April 20, 2017

Stone Logic

Filed under: Uncategorized — m759 @ 9:48 PM

See also "Romancing the Omega" —

Image- Josefine Lyche work (with 1986 figures by Cullinane) in a 2009 exhibition in Oslo

Related mathematics — Guitart in this journal —

From 'Moving Logic, from Boole to Galois,' by René Guitart, 2005

See also Weyl + Palermo in this journal —


Point 8777*

Filed under: Uncategorized — m759 @ 2:42 PM

Or:  Expanding the Spielraum, continued

Wikipedia on author Michael Connelly

Connelly had planned on following his father’s early choice of
career in building construction and started out at the 
University of Florida in Gainesville as a building construction major.
After earning grades that were lower than expected, Connelly went
to see Robert Altman’s film The Long Goodbye (1973) and was
enchanted by what he saw. The film, based on Raymond Chandler’s 
1953 novel of the same name, inspired Connelly to want to become
a mystery writer. Connelly went home and read all of Chandler's
works featuring Philip Marlowe, a detective in Los Angeles during
the 1940s and ‘50s, and decided to switch majors to journalism with
a minor in creative writing.[4] He was a student of Harry Crews.

[See also


A 2002 novel by Connelly — City of Bones .

Two scenes from a 2014 TV pilot based on the 2002 novel —

The "Bosch" pilot does not state the address, but its location in the
Hollywood Hills suggests a review of Heinlein Lottery in this journal. 

"Bonedigger Bonedigger
 Dogs in the moonlight"
 — Paul Simon

* Title suggested by that of the previous post, "Point Zero."

Point Zero

Filed under: Uncategorized — m759 @ 1:09 PM

A footnote from page 229 of Sydney Padua's April 21, 2015, book
on Lovelace and Babbage —

Pocket Universe

Filed under: Uncategorized — m759 @ 4:00 AM

I first encountered the title phrase, of more significance in art than
in science, yesterday in a review of a book by Sydney Padua

"This could be Heaven or this could be Hell." — "Hotel California"

"Some cartoon graveyards are better than others." — Log24

Wednesday, April 19, 2017

Dating Ada

Filed under: Uncategorized — m759 @ 2:56 PM

See, for instance, this journal on Oct. 13, 2015, and Oct. 11, 2016.

See as well page 505 in the May 2017 Notices of the American
Mathematical Society
  (Volume 64, Number 5).

At 64

Filed under: Uncategorized — m759 @ 1:00 AM

"The teas were heaven . . . ."  See also the previous post and
Washnitzer's Princeton obituary from yesterday.

Related material — Another mathematician's death, on April 4 at 64.

Monday, April 17, 2017


Filed under: Uncategorized — Tags: , — m759 @ 9:00 AM

Related art —

See also the previous post.

Sunday, April 16, 2017


Filed under: Uncategorized — m759 @ 10:00 PM

In memory of a mathematician who
reportedly died at 64 on April 4 

Part I: A review by that mathematician — 

Part II: The mathematician's funeral —

"Funeral service will be held at 1:30 p.m. on Friday, April 7, 2017 . . . ."
— See more at: http://www.legacy.com/obituaries/dispatch/

This journal at 1:37 p.m. ET on Friday, April 7, 2017 —

Related material:
The previous post and posts tagged The Gray Legacy.


Filed under: Uncategorized — m759 @ 12:25 PM

See also Plan 9.

Art Space Paradigm Shift

Filed under: Uncategorized — m759 @ 1:00 AM

This post's title is from the tags of the previous post


The title's "shift" is in the combined concepts of

Space and Number

From Finite Jest (May 27, 2012):

IMAGE- History of Mathematics in a Nutshell

The books pictured above are From Discrete to Continuous ,
by Katherine Neal, and Geometrical Landscapes , by Amir Alexander.

For some details of the shift, see a Log24 search for Boole vs. Galois.
From a post found in that search —

"Benedict Cumberbatch Says
a Journey From Fact to Faith
Is at the Heart of Doctor Strange

io9 , July 29, 2016

" 'This man comes from a binary universe
where it’s all about logic,' the actor told us
at San Diego Comic-Con . . . .

'And there’s a lot of humor in the collision
between Easter [ sic ] mysticism and
Western scientific, sort of logical binary.' "

[Typo now corrected, except in a comment.]

Saturday, April 15, 2017

Quanta Dating

Filed under: Uncategorized — Tags: , — m759 @ 3:15 PM

From Quanta Magazine  —

For the Church of Synchronology

See also this  journal on July 17, 2014, and March 28, 2017.


Filed under: Uncategorized — m759 @ 1:01 PM

The title is from a poem in The New Yorker  last December —

. . . pip trapped inside, god’s
knucklebone . . . .

The conclusion of yesterday's Google Image Search for Göpel Inscape

See also "Pray to Apollo" in this journal.

A Cinematographer Departs

Filed under: Uncategorized — m759 @ 2:04 AM

In memory of cinematographer Michael Ballhaus, who reportedly
died at 81 in Berlin on Tuesday evening, April 11, the first full day 
of Passover, 2017.

From a New York Times  description of his work —

"The sinuous shot, which shows people parting  
like the Red Sea. . . ." — Margalit Fox tonight

From Log24 on the reported date of Ballhaus's death:

Friday, April 14, 2017

For the Sunshine Girls*

Filed under: Uncategorized — m759 @ 9:45 PM

Click image to enlarge.

From a 'Göpel Inscape' image search on the evening of Good Friday 2017

* For the title, see "Sunshine Girls" in this journal. 

High Concept

Filed under: Uncategorized — m759 @ 12:00 PM

The twin-column illustration above is 
adapted from Shakespeare's Birthday 2013.

Hudson and Finite Geometry

Filed under: Uncategorized — Tags: — m759 @ 3:00 AM

IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

The above four-element sets of black subsquares of a 4×4 square array 
are 15 of the 60 Göpel tetrads , and 20 of the 80 Rosenhain tetrads , defined
by R. W. H. T. Hudson in his 1905 classic Kummer's Quartic Surface .

Hudson did not  view these 35 tetrads as planes through the origin in a finite
affine 4-space (or, equivalently, as lines in the corresponding finite projective

In order to view them in this way, one can view the tetrads as derived,
via the 15 two-element subsets of a six-element set, from the 16 elements
of the binary Galois affine space pictured above at top left.

This space is formed by taking symmetric-difference (Galois binary)
sums of the 15 two-element subsets, and identifying any resulting four-
element (or, summing three disjoint two-element subsets, six-element)
subsets with their complements.  This process was described in my note
"The 2-subsets of a 6-set are the points of a PG(3,2)" of May 26, 1986.

The space was later described in the following —

IMAGE- Dolgachev and Keum, coordinatization of the 4x4 array in 'Birational Automorphisms of Quartic Hessian Surfaces,' AMS Transactions, 2002

Thursday, April 13, 2017


Filed under: Uncategorized — Tags: — m759 @ 7:00 PM

See "Smallest Perfect" in this journal.

Making Space

Filed under: Uncategorized — m759 @ 6:00 PM

The New York Times  online today:

At MoMA, Women at Play in the Fields of Abstraction

" The famous flowchart of Modern art's evolution simply doesn't apply
in 'Making Space: Women Artists and Postwar Abstraction.' "

Understated Hollywood

Filed under: Uncategorized — m759 @ 11:00 AM

From The Boston Globe  on Monday, February 27, 2017 —

See also this  journal on the above date — Feb. 27, 2017.

From the Midrash Jazz Quartet

Filed under: Uncategorized — m759 @ 9:48 AM

Epiphany 2006 —


Filed under: Uncategorized — Tags: — m759 @ 12:01 AM

Wednesday, April 12, 2017


Filed under: Uncategorized — Tags: — m759 @ 7:22 PM

"The state of the universe, physicists say, is a cosmological
relic—a glass ark with hammered-gold seams, pip trapped inside, god’s
knucklebone, nanosecond high-energy outward burst—kaboom!

and space fills up with proto-stars . . . ."

— "A Natural History of Light," a poem by Marsha de la O,
     The New Yorker , issue of December 12, 2016

"Angel's Bone," by Du Yun, premiered on January 6, 2016 . . . ."

Contracting the Spielraum

Filed under: Uncategorized — Tags: , — m759 @ 10:00 AM

The contraction of the title is from group actions on
the ninefold square  (with the center subsquare fixed)
to group actions on the eightfold cube.

From a post of June 4, 2014

At math.stackexchange.com on March 1-12, 2013:

Is there a geometric realization of the Quaternion group?” —

The above illustration, though neatly drawn, appeared under the
cloak of anonymity.  No source was given for the illustrated group actions.
Possibly they stem from my Log24 posts or notes such as the Jan. 4, 2012,
note on quaternion actions at finitegeometry.org/sc (hence ultimately
from my note “GL(2,3) actions on a cube” of April 5, 1985).

Expanding the Spielraum

Filed under: Uncategorized — Tags: , — m759 @ 9:48 AM

Cézanne's Greetings.

"Cézanne ignores the laws of classical perspective . . . ."

— Voorhies, James. “Paul Cézanne (1839–1906).”
In Heilbrunn Timeline of Art History .  New York:
The Metropolitan Museum of Art, 2000–. (October 2004)

Some others do not.

This is what I called "the large Desargues configuration
in posts of April 2013 and later.

Tuesday, April 11, 2017

Partitioning the Crimson Abyss

Filed under: Uncategorized — Tags: — m759 @ 6:00 PM

For the title, see Crimson + Abyss in this journal.

"Ready when you are, C. B."

Hexagram 63, "After Completion"

Monday, April 10, 2017

Bullshit Studies Continued*

Filed under: Uncategorized — m759 @ 9:29 PM

Yin Yang Yung

* See also earlier posts on Bullshit Studies.

Heidegger for Passover

Filed under: Uncategorized — m759 @ 12:00 PM

From this  journal on August 7, 2010  (footnotes added today) —

The title of this post, "Rift Designs," is taken from Heidegger.

From a recent New Yorker  review of Absence of Mind  by Marilynne Robinson—

"Robinson is eloquent in her defense of the mind’s prerogatives, but her call for a renewed metaphysics might be better served by rereading Heidegger than by dusting off the Psalms."

Following this advice, we find—

"Propriation1 gathers the rift-design2 of the saying and unfolds it3  in such a way that it becomes the well-joined structure4 of a manifold showing."

— p. 415 of Heidegger's Basic Writings , edited by David Farrell Krell, HarperCollins paperback, 1993

"Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des vielfältigen Zeigens." 

— Heidegger, Weg zur Sprache

1. "Mirror-Play of the Fourfold"

2. "Christ descending into the abyss"

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Sunday, April 9, 2017

23 for 23 for …

Filed under: Uncategorized — m759 @ 11:01 PM

James McAvoy —

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