Tuesday, July 17, 2018

Grid Art

Filed under: Uncategorized — m759 @ 2:02 PM

Comic-Con 2018

Filed under: Uncategorized — m759 @ 1:01 PM

There is more than one kind of harassment.

For example —

A document linked to on June 20 by The New York Times :

This  journal on the above arXiv date —

Today is World Emoji Day.

Another approach to hermeneutics —


Deep Learning for Jews

Filed under: Uncategorized — Tags: , — m759 @ 12:23 PM

From The New York Times  on June 20, 2018 —

" In a widely read article published early this year on arXiv.org,
a site for scientific papers, Gary Marcus, a professor at
New York University, posed the question:

'Is deep learning approaching a wall?'

He wrote, 'As is so often the case, the patterns extracted
by deep learning are more superficial than they initially appear.' "

See as well an image from posts tagged Quantum Suffering  . . .

The time above, 10:06:48 PM July 16, is when  I saw

"What you mean 'we,' Milbank?"

Monday, July 16, 2018


Filed under: Uncategorized — m759 @ 11:19 PM

See also the above date here  on Bastille Day.

An Ordinary Evening

Filed under: Uncategorized — m759 @ 8:29 PM

Art from a Google News weather report

Prime Day

Filed under: Uncategorized — m759 @ 3:17 PM


Annals of Weaponized Mathematics

Filed under: Uncategorized — m759 @ 2:35 PM

See as well the Log24 post Stability of August 9th, 2017.

Greatly Exaggerated Report

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

"The novel has a parallel narrative that eventually
converges with the main story."

— Wikipedia on a book by Foer's novelist brother

Public Squares

An image from the online New York Times 
on the date, July 6,
of  the above Atlantic  article —

An image from "Blackboard Jungle," 1955 —

IMAGE- Richard Kiley in 'Blackboard Jungle,' with grids and broken records

"Through the unknown, remembered gate . . . ."

— T. S. Eliot, Four Quartets

God and Man at Yale

Filed under: Uncategorized — m759 @ 11:32 AM

From a search in this journal for Bloom Sublime

Sunday, July 15, 2018

Jewish Oases

Filed under: Uncategorized — m759 @ 10:06 PM

"… Lincoln Plaza Cinemas, the Juilliard String Quartet,
and the Strand Book Store remained  oases
for cultural and intellectual stimulation."

John S. Friedman in The Forward , Jan. 21, 2018

Read more: 


From  the Oasis  in Steven Spielberg's "Ready Player One" (2018) —

I prefer, from a Log24 search for Flux Capacitor

Symbologist Robert Langdon views a corner of Solomon's Cube

From "Raiders of the Lost Images" —

"The cube shape of the lost Mother Box,
also known as the Change Engine,
is shared by the Stone in a novel by
Charles Williams, Many Dimensions .
See the Solomon's Cube webpage."

Schoolgirl Problems

Filed under: Uncategorized — m759 @ 12:00 PM

A Warren, Pennsylvania, newspaper article from May 12, 2018,
"A terrorist among them," quotes Ann Creal of Warren on
schooldays of the late 1950's and on a German exchange student,
Gudrun Ensslin, who later became famous for her violent political

"She said Ensslin dated while here (the man
she identified as Ensslin’s date told the Times Observer
he had no recollection of her)."

I am the man that was identified as Ensslin's date, and I still
have no recollection of her.

Ann Creal is the former Ann Fuellhart, who was a college freshman
in the fall of 1959, when I was a high school senior —

Ann Creal apparently confused me with Scott Mohr, who
graduated from Warren High School in 1958. See the Log24
posts Crux and Doppelgänger.

Blue Sixteen

Filed under: Uncategorized — m759 @ 9:00 AM

"Sweet Little Sixteen
She’s got the grown-up blues"

Chuck Berry, January 1958

Related material — Hollywood Easter

Fashion Statements

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

See Glad Rags in this journal.

Bill Haley, not Michael J. Fox, was my  experience of 1955.

Saturday, July 14, 2018

Enchantment Under the Sea*

Filed under: Uncategorized — m759 @ 10:37 PM

The title is that of a fictional high school dance on November 12, 1955, 
in the 1985 film "Back to the Future."

A real  high school dance from that era —

"The Class History was reviewed by Scott Mohr."

See also Scott Mohr in Log24 posts tagged Back to the Future.

"… the Prom carried out a Moonlight and Roses theme…."
Warren Times Mirror, Warren, PA, 2 June 1958, page 7 (above)

Related musical themes from a few years earlier —

See as well the 1955 film "Blackboard Jungle" in this journal.

*For some variations on the title theme, see Red October.

“Just like a-ringin’ a bell”

Filed under: Uncategorized — m759 @ 8:17 PM

See Temple Bell in this journal.

Related material —

“We all float down here.”

Filed under: Uncategorized — m759 @ 5:37 PM

Linked to in a Log24 post of Jan. 21, 2008

"The Shining" dance scene from the 2018 film "Ready Player One" —

From a Log24 post earlier today

From a Log24 post of Thursday, July 12, 2018

The Form, The Pattern

Filed under: Uncategorized — m759 @ 2:41 PM

An image from the previous post

Related material — Looking Deeply.

For You

Filed under: Uncategorized — m759 @ 2:02 PM

Expanding the Spiel

Filed under: Uncategorized — m759 @ 1:15 PM


Cube Dance

The walkerart.org passage above is from Feb. 17, 2011.

See also this  journal on Feb. 17, 2011

"…  Only by the form, the pattern,      
Can words or music reach
The stillness…."

— T. S. Eliot,
Four Quartets

For further details, see Time Fold.

Friday, July 13, 2018

From the P. T. Barnum School of Science Writing

Filed under: Uncategorized — m759 @ 1:32 PM

Related drama —


Treacherous Rescue

Filed under: Uncategorized — m759 @ 12:37 PM

From a Log24 post of May 3, 2018

Related material —

Segue for Harlan Ellison

Filed under: Uncategorized — m759 @ 12:00 PM

From a Log24 post of March 13, 2003

"For many of us, the geometry course sounded the death knell
for our progress — and interest — in mathematics."

— "Shape and Space in Geometry"

© 1997-2003 Annenberg/CPB. All rights reserved.
Legal Policy


Filed under: Uncategorized — m759 @ 11:00 AM


James Propp

"When I was a kid living in the Long Island suburbs,
I sometimes got called a math genius. I didn’t think
the label was apt, but I didn’t mind it; being put in
the genius box came with some pretty good perks."

— "The Genius Box," March 16, 2018

From posts in this  journal tagged "Black Diamond" —

Jack in the Box, by Natasha Wescoat


Filed under: Uncategorized — m759 @ 12:00 AM

Thursday, July 12, 2018


Filed under: Uncategorized — m759 @ 11:00 PM

"All our words from loose using
have lost their edge."
 — Ernest Hemingway    

"Cut! That was mint!"

— Line from "Super 8" (2011)

Related material — posts tagged Blacklist Thread.

The Bell

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

Three hidden keys open three secret gates
Wherein the errant will be tested for worthy traits
And those with the skill to survive these straits
Will reach The End where the prize awaits

— Ready Player One , by Ernest Cline

"Look, my favorite expression is,
'When you go up to the bell, ring it,
or don’t go up to the bell.'
We’ve gone too far. We have to ring the bell."

Mel Brooks on "The Producers"
     in The New York Times  today.

A 2016 Scribner edition of Stephen King's IT —

Related material —

Mystery box  merchandise from the 2011  J. J. Abrams film  Super 8 

For Maxwell Perkins …

Filed under: Uncategorized — m759 @ 12:56 PM

(and Stephen King)

"Imagine a world in which … you start watching a mini-series
so long that you will not know how it comes out until
your grandchildren start arriving in Paradise."

— Russell Baker, op-ed, The New York Times , Nov. 16, 1988

Stable Genius

Filed under: Uncategorized — m759 @ 12:54 PM

Kummerhenge Illustrated

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


“… the utterly real thing in writing is the only thing that counts…."

— Maxwell Perkins to Ernest Hemingway, Aug. 30, 1935

"Omega is as real  as we need it to be."

— Burt Lancaster in "The Osterman Weekend"

Wednesday, July 11, 2018


Filed under: Uncategorized — Tags: — m759 @ 5:01 PM

"By The Boston Globe

July 10, 2018

The private jets have begun clogging the jetways
in Sun Valley, Idaho, which can only mean one thing:
'Billionaire summer camp’' has begun.

The annual Allen & Company conference, the investment
firm’s invite-only gathering of some of the world’s most
powerful corporate titans, officially begins on Wednesday."

In other news —


Get ready to see the Titans in training camp."

See also another  post now tagged "Clash of the Titans."

Clarity and Precision

Filed under: Uncategorized — m759 @ 9:13 AM

"The whole meaning of the word is
looking into something with clarity and precision,
seeing each component as distinct,
and piercing all the way through
so as to perceive the most fundamental reality
of that thing."

For the word itself, try a Web search on 
noteworthy phrases above.

“. . . the utterly real thing in writing is 
the only thing that counts . . . ."

— Maxwell Perkins to Ernest Hemingway, Aug. 30, 1935


— Page number in a 2016 Scribner edition
of Stephen King's IT

Plato and Paradigms, Revisited

Filed under: Uncategorized — m759 @ 12:00 AM

"Plato thought nature but a spume that plays
Upon a ghostly paradigm of things"

— W. B. Yeats, "Among School Children"

Tuesday, July 10, 2018

A Dark and Stormy May 29th

Filed under: Uncategorized — m759 @ 12:13 PM

He had come a long way to this blue lawn,
and his dream must have seemed so close
that he could hardly fail to grasp it.
He did not know that it was already behind him,
somewhere back in that vast obscurity
beyond the city, where the dark fields of the republic
rolled on under the night.

F. Scott Fitzgerald, The Great Gatsby

— Epigraph to Limitless: A Novel , by Alan Glynn

Glynn's novel was originally published in 2002 under the title
The Dark Fields

Compare and contrast —

Stephen King's IT  was first published by Viking in 1986.

See as well the May 29th date mentioned by King.

Monday, July 9, 2018

History for Hollywood

Filed under: Uncategorized — m759 @ 10:45 PM


The Pediment of Appearance —

For some backstory, search Log24 for "Wolf Barth."

High Concept for Amy

Filed under: Uncategorized — m759 @ 8:12 PM

Beaty Confidential

Filed under: Uncategorized — m759 @ 2:24 PM

See also Lumet's "Child's Play."

Related entertainment —

From August 28, 2006

Filed under: Uncategorized — m759 @ 1:01 PM

An article on banker Richard B. Fisher, and
the Log24 post "Today's Sinner."

Temple of Doom

Filed under: Uncategorized — m759 @ 12:38 PM

Graeme McMillan in The Hollywood Reporter  Saturday —

"The Quantum Realm is a place where time and space
work differently, and has all sorts of potential to help
keep the MCU fresh for its second decade of films. . . .

So where did it all come from?

What is known to movie audiences as the Quantum Realm
debuted in 1963’s Fantastic Four  No. 16, in a story called
'The Micro-World of Doctor Doom!' "

Related art —


Annals of Ontology

Filed under: Uncategorized — m759 @ 12:22 PM

The Thing and I  continues.

"… the Quantum Realm wouldn’t really become a 'thing' 
in Marvel’s comic book mythology until the end of that
decade [the 1970s], and the arrival of a toy license at
the publisher."

— Graeme McMillan in The Hollywood Reporter  Saturday

What Rough Beast

Filed under: Uncategorized — m759 @ 12:00 PM

Sunday, July 8, 2018


Filed under: Uncategorized — m759 @ 9:31 PM

The Fisher of the previous post was . . .

See also Fisher's connection to Bard College.

Related material from the date of Fisher's death —

See as well "Meet Joe Black."

Fisher Center

Filed under: Uncategorized — m759 @ 2:02 PM

Or not.


Filed under: Uncategorized — m759 @ 12:00 PM

Eric Temple Bell, 'The Development of Mathematics'

See also Solomon's  cube.

* Title suggested by a 2011 dystopian novel.

Saturday, July 7, 2018

Use the Source

Filed under: Uncategorized — m759 @ 7:55 PM

Update of 11:25 PM ET —

See also some other books suggested by Google during
a search on the Picard "active audible silence" phrase. 

Easter Eggs for Rosalind

Filed under: Uncategorized — Tags: — m759 @ 1:19 PM

Three hidden keys open three secret gates
Wherein the errant will be tested for worthy traits
And those with the skill to survive these straits
Will reach The End where the prize awaits

Ready Player One , by Ernest Cline

Related text —

Tu es Petrus et super hanc petram
aedificabo ecclesiam meam et tibi
dabo claves regni caelorum

Mt. 16:18

Related imagery —

From Steven Spielberg's film "Ready Player One" (2018) —

From this journal on June 17, 2003

From The New York Times  on Easter night, 2007 —

Death of Sol LeWitt

See as well Rosalind Krauss on LeWitt:

Friday, July 6, 2018

Blackboard Jungle — The Prequel

Filed under: Uncategorized — m759 @ 11:05 AM

An image from the online New York Times  today —

Blackboard Jungle , 1955 —

IMAGE- Richard Kiley in 'Blackboard Jungle,' with grids and broken records

"Through the unknown, remembered gate . . . ."

T. S. Eliot, 1942


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

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

— T. S. Eliot, "Burnt Norton," 1936

"Read something that means something."

Advertising slogan for The New Yorker

The previous post quoted some mystic meditations of Octavio Paz
from 1974. I prefer some less mystic remarks of Eddington from
1938 (the Tanner Lectures) published by Cambridge U. Press in 1939 —

"… we have sixteen elements with which to form a group-structure" —

See as well posts tagged Dirac and Geometry.

Thursday, July 5, 2018


Filed under: Uncategorized — Tags: — m759 @ 1:44 PM

Some context for what Heidegger called
das Spiegel-Spiel des Gevierts

From Helen Lane's translation of El Mono Gramático ,
a book by Nobel winner Octavio Paz first published
in Barcelona by Seix Barral in 1974 —

Simultaneous perspective does not look upon language as a path because it is not the search for meaning that orients it. Poetry does not attempt to discover what there is at the end of the road; it conceives of the text as a series of transparent strata within which the various parts—the different verbal and semantic currents—produce momentary configurations as they intertwine or break apart, as they reflect each other or efface each other. Poetry contemplates itself, fuses with itself, and obliterates itself in the crystallizations of language. Apparitions, metamorphoses, volatilizations, precipitations of presences. These configurations are crystallized time: although they are perpetually in motion, they always point to the same hour—the hour of change. Each one of them contains all the others, each one is inside the others: change is only the oft-repeated and ever-different metaphor of identity.

— Paz, Octavio. The Monkey Grammarian 
(Kindle Locations 1185-1191). 
Arcade Publishing. Kindle Edition. 

A related 1960 meditation from Claude Lévi-Strauss taken from a 
Log24 post of St. Andrew's Day 2017,  "The Matrix for Quantum Mystics":

The Matrix of Lévi-Strauss —

"In Vol. I of Structural Anthropology , p. 209, I have shown that
this analysis alone can account for the double aspect of time
representation in all mythical systems: the narrative is both
'in time' (it consists of a succession of events) and 'beyond'
(its value is permanent)." — Claude Lévi-Strauss

I prefer the earlier, better-known, remarks on time by T. S. Eliot
in Four Quartets , and the following four quartets
(from The Matrix Meets the Grid) —


Wednesday, July 4, 2018

Raiders of the Lost Spell

Filed under: Uncategorized — Tags: — m759 @ 2:01 PM

From The New York Review of Books ,
issue dated July 19, 2018 —

"The only useful thing about The Seventh Function of Language 
is the idea that one would need some magical means to persuade
through language, some secret spell. Useful, because perfectly
ridiculous. The spell, we know, exists . . . ."

— "Imagining the Real," by Wyatt Mason

Some nineteenth-century thoughts along these lines:

See also Declarations.

New from Oxford University Press —

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

From the Afterword to a 2017 novel titled Quantum Space

Now from Oxford University Press,

non-fiction approach to

Quantum Space

See also the previous post and other posts tagged Lost.

Tuesday, July 3, 2018


Filed under: Uncategorized — Tags: — m759 @ 7:55 PM

The phrase "quantum space" in today's 10:45 AM post
was used earlier in a book title —

Amazon.com gives the Quantum Space  publication date
for its Kindle edition as April 10, 2017.

I prefer my own remarks of April 10, 2017 —

From "Heidegger for Passover

"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

The Ant and the WASP

Filed under: Uncategorized — Tags: , — m759 @ 4:56 PM

See also posts tagged "Lost" and a search for "Excellent Adventure."

Lost in Quantum Space

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

Combining concepts from the two previous posts, we have the above title.

A more concise alternative title

Lost in the Matrix

For some related non -fiction, see posts tagged Dirac and Geometry.

Fiction in a Cartoon Graveyard

Filed under: Uncategorized — Tags: — m759 @ 10:02 AM

Jonathan Franzen on fiction —

"Fiction is storytelling, and our reality arguably consists of
the stories we tell about ourselves."

Or stories we are told by others

For a Generation Lost in Space

Filed under: Uncategorized — Tags: — m759 @ 7:38 AM

So here's to you, Mrs. Robinson …

De Trinitate

Filed under: Uncategorized — m759 @ 6:55 AM

This post on the Holy Trinity was suggested by the June 29
Boston Globe  obituary of reporter Kathy Shaw.

A related film review from December 29, 2016 —

"Trinity (2016): Surreal and Haunting Imagery" —

See also this  journal on December 29, 2016, featuring
a ghost spokesman for White Owl cigars:

Monday, July 2, 2018

In Memoriam

Filed under: Uncategorized — m759 @ 9:10 PM

This post is in memory of dancer-choreographer Gillian Lynne,
who reportedly died at 92 on Sunday, July 1, 2018.

For a scene from her younger days, click on Errol Flynn above.
The cube contemplated by Flynn is from Log24 on Sunday.

"This is how we enter heaven, enter dancing."
— Paraphrase of Lorrie Moore (See Oct. 18, 2003.)

Mean Girls

Filed under: Uncategorized — m759 @ 8:02 PM

The previous post, together with remarks in this journal
on April 3-5, 2013 — the dates of a CUNY philosophy 
conference — suggests a look at today's New York Times 
philosophy column "The Stone."

The challenges of this enterprise go beyond merely finding the rhetorical and material resources to brush deception aside. To be a participant in a good-enough democratic polis is a perpetual project that requires taking seriously one’s abiding and evolving tastes and interests and working without surcease to create an ever-expanding social and linguistic space for every individual who arrives on our shores, or at our borders, to pursue happiness.

The authors are philosophy professors: Nancy Bauer at Tufts University; Alice Crary at the University of Oxford; and Sandra Laugier at the University of Paris 1 Panthéon-Sorbonne.

Related material about the film referenced in today's previous post —


Happy birthday, LiLo.

A Mykonos* Narrative …

Filed under: Uncategorized — m759 @ 1:00 PM

For Cady Heron

"Why you gotta be so mean?" — Taylor Swift

* See references to that Greek island in this journal.

Another Letterman Intro

Filed under: Uncategorized — m759 @ 12:06 PM

Recognitions, Corrections;  Corrections, Recognitions.

"It is the dawning of the second gestalt 
in relation to the first 
that is the experience of meaning."

— Jan Zwicky in "The Experience of Meaning"
(at 27:36 of 44:36 in the video of her talk) 

Related remarks by the author of The Corrections

" Even friends of The Recognitions  have found it a daunting
text.  Jonathan Franzen, the best known of the book's current
day champions, has offered both praise and words of warning
to potential readers. 'I loved it,' he proclaimed in the pages
The New Yorker  back in 2002, where he held up Gaddis's
novel as the preeminent example of what Franzen calls 'the
Status model' of literature.  Authors who subscribe to the
'Status model' embrace fiction as the springboard for
'a discourse of genius and art-historical importance' freed
from the demands of the marketplace or the requirements of
mass consumption.  Yet even Franzen acknowledges the toll
exacted by this particular masterpiece.  He declares that 
  is 'the most difficult book I ever voluntarily read
in its entirety,' adding that he completed the task 'as a kind
of penance.' "

Now try Euclid.

Sunday, July 1, 2018

The Trinity Pretzel

Filed under: Uncategorized — m759 @ 9:41 PM

The previous post suggests a review of a post from July 26, 2008
Jung's birthday — that mentions "The Trinity Pretzel."

For the pretzel itself, see the previous post and the posts of May 6, 2005.

Deutsche Ordnung

Filed under: Uncategorized — m759 @ 8:22 PM

The title is from a phrase spoken, notably, by Yul Brynner
to Christopher Plummer in the 1966 film "Triple Cross."

Related structures —

Greg Egan's animated image of the Klein quartic —

For a tetrahedral key to the arrangement of the 56 triangles within the above
structure, see a book chapter by Michael Huber of Tübingen

For further details, see the June 29 post Triangles in the Eightfold Cube.

See also, from an April 2013 philosophical conference:

Abstract for a talk at the City University of New York:

The Experience of Meaning 
Jan Zwicky, University of Victoria 
09:00-09:40 Friday, April 5, 2013

Once the question of truth is settled, and often prior to it, what we value in a mathematical proof or conjecture is what we value in a work of lyric art: potency of meaning. An absence of clutter is a feature of such artifacts: they possess a resonant clarity that allows their meaning to break on our inner eye like light. But this absence of clutter is not tantamount to 'being simple': consider Eliot's Four Quartets  or Mozart's late symphonies. Some truths are complex, and they are simplified  at the cost of distortion, at the cost of ceasing to be  truths. Nonetheless, it's often possible to express a complex truth in a way that precipitates a powerful experience of meaning. It is that experience we seek — not simplicity per se , but the flash of insight, the sense we've seen into the heart of things. I'll first try to say something about what is involved in such recognitions; and then something about why an absence of clutter matters to them.

For the talk itself, see a YouTube video.

The conference talks also appear in a book.

The book begins with an epigraph by Hilbert

Springtime for Wagner

Filed under: Uncategorized — m759 @ 2:47 PM

A College for Christine

Filed under: Uncategorized — m759 @ 11:28 AM

See as well Zwicky in this journal.

The Perpetual Motion of T. S. Eliot

Filed under: Uncategorized — m759 @ 10:28 AM

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

Saturday, June 30, 2018

Commandment 9 from Outer Space

Filed under: Uncategorized — m759 @ 10:46 AM

A recent New York Times  piece on novelist Jonathan Franzen concludes
with a reference to the Rodney Crowell song "I Don’t Care Anymore.”

Two lines near the end of that song

"If indeed I do get lonesome in my mansion on the hill
There's this neighbor's wife I covet for her beauty and her skill"

Related material —

From Catechism of the Catholic Church
Part III, Section II, Chapter II, Article IX — 

The Ninth Commandment


2528  "Everyone who looks at a woman lustfully has already
            committed adultery with her in his heart" (Mt 5:28).

2529   The ninth commandment warns against lust or carnal

Publicity still for "Lost in Space" —

More recently

Log24 on the release date of "Sin City" — April First, 2005

Friday, June 29, 2018

Triangles in the Eightfold Cube

Filed under: Uncategorized — m759 @ 9:10 PM

From a post of July 25, 2008, "56 Triangles," on the Klein quartic
and the eightfold cube

"Baez's discussion says that the Klein quartic's 56 triangles
can be partitioned into 7 eight-triangle Egan 'cubes' that
correspond to the 7 points of the Fano plane in such a way
that automorphisms of the Klein quartic correspond to
automorphisms of the Fano plane. Show that the
56 triangles within the eightfold cube can also be partitioned
into 7 eight-triangle sets that correspond to the 7 points of the
Fano plane in such a way that (affine) transformations of the
eightfold cube induce (projective) automorphisms of the Fano plane."

Related material from 1975 —

More recently

For St. Stanley

Filed under: Uncategorized — m759 @ 1:26 PM

The phrase "Blue Dream" in the previous post
suggests a Web search for Traumnovelle .
That search yields an interesting weblog post
from 2014 commemorating the 1999 dies natalis 
(birth into heaven) of St. Stanley Kubrick.

Related material from March 7, 2014,
in this  journal

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

That  2014 post was titled "Kummer Varieties." It is now tagged
"Kummerhenge." For some backstory, see other posts so tagged.

Analogies Between Analogies:

Filed under: Uncategorized — m759 @ 3:33 AM

Literary Meditation for the Feast of  SS Peter and Paul

Background McLuhan on analogy.

See a publication offering facsimiles of the original 4×6 cards
of John Shade's "Pale Fire," as Nabokov described them.

Regarding these card proportions, note that 4/6 = 333/500, approximately —
the proportions of the text box in a post from yesterday.

"Continue a search for thirty-three and three" — Katherine Neville.

These rather pointless, but vaguely poetic, analogies were suggested by

  • Yesterday morning's "The Corrections," a post
    featuring spider ballooning and a dead poet, and
  • "Blue Dream," a post of Feb. 11, 2006.

Thursday, June 28, 2018

The Corrections

Filed under: Uncategorized — m759 @ 10:14 AM

Trinity Meditation

Filed under: Uncategorized — m759 @ 2:45 AM

See Interpenetration and Trinity Cube.

Eine Kleine Nachtmusik

Filed under: Uncategorized — m759 @ 1:00 AM

See  Klein Quartic  and  Klein Quadric.

All in Plato

Filed under: Uncategorized — m759 @ 12:32 AM

"It's all in Plato" — C. S. Lewis

See too Platonic in this journal —

Counting symmetries with the orbit-stabilizer theorem

Wednesday, June 27, 2018

The Letterman Intro

Filed under: Uncategorized — m759 @ 10:28 AM

"Summerfield, Kummerhenge.  Kummerhenge, Summerfield."

Taken In

Filed under: Uncategorized — Tags: — m759 @ 9:36 AM

A passage that may or may not have influenced Madeleine L'Engle's
writings about the tesseract :

From Mere Christianity , by C. S. Lewis (1952) —

"Book IV – Beyond Personality:
or First Steps in the Doctrine of the Trinity"
. . . .

I warned you that Theology is practical. The whole purpose for which we exist is to be thus taken into the life of God. Wrong ideas about what that life is, will make it harder. And now, for a few minutes, I must ask you to follow rather carefully.

You know that in space you can move in three ways—to left or right, backwards or forwards, up or down. Every direction is either one of these three or a compromise between them. They are called the three Dimensions. Now notice this. If you are using only one dimension, you could draw only a straight line. If you are using two, you could draw a figure: say, a square. And a square is made up of four straight lines. Now a step further. If you have three dimensions, you can then build what we call a solid body, say, a cube—a thing like a dice or a lump of sugar. And a cube is made up of six squares.

Do you see the point? A world of one dimension would be a straight line. In a two-dimensional world, you still get straight lines, but many lines make one figure. In a three-dimensional world, you still get figures but many figures make one solid body. In other words, as you advance to more real and more complicated levels, you do not leave behind you the things you found on the simpler levels: you still have them, but combined in new ways—in ways you could not imagine if you knew only the simpler levels.

Now the Christian account of God involves just the same principle. The human level is a simple and rather empty level. On the human level one person is one being, and any two persons are two separate beings—just as, in two dimensions (say on a flat sheet of paper) one square is one figure, and any two squares are two separate figures. On the Divine level you still find personalities; but up there you find them combined in new ways which we, who do not live on that level, cannot imagine.

In God's dimension, so to speak, you find a being who is three Persons while remaining one Being, just as a cube is six squares while remaining one cube. Of course we cannot fully conceive a Being like that: just as, if we were so made that we perceived only two dimensions in space we could never properly imagine a cube. But we can get a sort of faint notion of it. And when we do, we are then, for the first time in our lives, getting some positive idea, however faint, of something super-personal—something more than a person. It is something we could never have guessed, and yet, once we have been told, one almost feels one ought to have been able to guess it because it fits in so well with all the things we know already.

You may ask, "If we cannot imagine a three-personal Being, what is the good of talking about Him?" Well, there isn't any good talking about Him. The thing that matters is being actually drawn into that three-personal life, and that may begin any time —tonight, if you like.

. . . .

But beware of being drawn into the personal life of the Happy Family .


"The colorful story of this undertaking begins with a bang."

And ends with

Martin Gardner on Galois

"Galois was a thoroughly obnoxious nerd,
 suffering from what today would be called
 a 'personality disorder.'  His anger was
 paranoid and unremitting."


Filed under: Uncategorized — m759 @ 9:27 AM

See Ballet Blanc 
and Still Point.

Tuesday, June 26, 2018

Square Space

Filed under: Uncategorized — m759 @ 7:11 PM

Square Space at cullinane.design


Filed under: Uncategorized — m759 @ 10:20 AM

"Reverend, Reverend,
Is this some conspiracy?"


IMAGE- 'Right through hell there is a path.'

Click George for a meditation on Albee.

Rock Notes

Filed under: Uncategorized — m759 @ 9:34 AM

Photo caption

"Vinnie Paul of the band Hellyeah performs in concert
during Day 2 of the Rock Allegiance Festival at
Talen Energy Stadium on Sunday, Sept. 18, 2016, in
Chester, Pa. (Photo by Owen Sweeney/Invision/AP)"

News report

"Former SKID ROW singer Sebastian Bach played
a cover version of the PANTERA classic 
"Cemetery Gates" as a tribute to Vinnie Paul Abbott 
during his June 24 concert at The Pyramid Cabaret in
Winnipeg, Manitoba, Canada."

Some backstory

What Dreams May Come …

Filed under: Uncategorized — m759 @ 1:05 AM

Novel  Engineering

Monday, June 25, 2018

The Gateway Device

Filed under: Uncategorized — m759 @ 6:24 PM

<title data-rh="true">Frank Heart, Who Linked Computers Before the Internet, Dies at 89 – The New York Times</title>
. . . .
<meta data-rh="true" name="description" itemprop="description" content="Mr. Heart’s team built the gateway device for the Arpanet, the precursor to the internet. Data networking was so new then, they made it up as they went."/>
. . . .
<meta data-rh="true" property="article:published" itemprop="datePublished" content="2018-06-25T19:16:17.000Z"/>

See also yesterday's "For 6/24" and 

IMAGE- 'Nocciolo': A 'kernel' for Pascal's Hexagrammum Mysticum: The 15 2-subsets of a 6-set as points in a Galois geometry.

The Trials of Device

Filed under: Uncategorized — Tags: — m759 @ 9:34 AM

"A blank underlies the trials of device."

Wallace Stevens

"Designing with just a blank piece of paper is very quiet."

Kate Cullinane

Related material —

An image posted at 12 AM ET December 25, 2014:

The image stands for the
phrase "five by five,"
meaning "loud and clear."

Other posts featuring the above 5×5 square with some added structure:

Sunday, June 24, 2018

For 6/24

Filed under: Uncategorized — Tags: — m759 @ 10:12 AM

A clue to the relationship between the Kummer (16, 6)
configuration and the large Mathieu group M24

Related material —

See too the diamond-theorem correlation.

Saturday, June 23, 2018

Meanwhile …

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

Backstory for fiction fans, from Log24 on June 11 —

Related non -fiction —

See as well the structure discussed in today's previous post.

Plan 9 from Inner Space

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

From Nanavira Thera, "Early Letters," in Seeking the Path —

"nine  possibilities arising quite naturally" —

Compare and contrast with Hudson's parametrization of the
4×4 square by means of 0 and the 15  2-subsets of a 6-set —

An Argentine Abstraction*

Filed under: Uncategorized — m759 @ 7:59 AM

See Borges + Aleph in this journal.

* Phrase from a poem by Wallace Stevens

Friday, June 22, 2018

Hidden Figure

Filed under: Uncategorized — m759 @ 11:29 AM

See as well Octavia Butler in this  journal.

Seize the Dia …

Filed under: Uncategorized — m759 @ 11:13 AM

Continues .

An etymology check of the "dia" in "diagnostics" —

For the Late Charles Krauthammer

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

"… lo lidchok et haketz …."

Acceptance speech, Guardian of Zion award, 2002

Eric Voegelin and 'immanentizing the eschaton'

Also on February 20, 2012 —

Thursday, June 21, 2018

Models of Being

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

A Buddhist view —

"Just fancy a scale model of Being 
made out of string and cardboard."

— Nanavira Thera, 1 October 1957,
on a model of Kummer's Quartic Surface
mentioned by Eddington

A Christian view —

A formal view —

From a Log24 search for High Concept:

See also Galois Tesseract.

Dirac and Geometry (continued)

Filed under: Uncategorized — Tags: — m759 @ 10:04 AM

"Just fancy a scale model of Being 
made out of string and cardboard."

Nanavira Thera, 1 October 1957,
on a model of Kummer's Quartic Surface
mentioned by Eddington

"… a treatise on Kummer's quartic surface."

The "super-mathematician" Eddington did not see fit to mention
the title or the author of the treatise he discussed.

See Hudson + Kummer in this  journal.

See also posts tagged Dirac and Geometry.

Cavell’s Matrix

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

From an obituary for Stanley Cavell, Harvard philosopher
who reportedly died at 91 on Tuesday,  June 19:

The London Review of Books  weblog yesterday —

"Michael Wood reviewed [Cavell’s] 
Philosophy the Day after Tomorrow  in 2005:

'The ordinary slips away from us. If we ignore it, we lose it.
If we look at it closely, it becomes extraordinary, the way
words or names become strange if we keep staring at them.
The very notion turns into a baffling riddle.' "

See also, in this  journal, Tuesday morning's Ici vient M. Jordan  and
this  morning's previous post.

Update of 3:24 AM from my RSS feed —


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

See also the Omega Matrix in this  journal.

Wednesday, June 20, 2018


Filed under: Uncategorized — m759 @ 5:29 AM

"… what we’re witnessing is not a glitch. It’s a feature…."

A Boston Globe  columnist on June 19.

An image from this  journal at the beginning of Bloomsday 2018

An encountered feature , from the midnight beginning of June 16

Literary Symbolism

"… what we’re witnessing is not a glitch. It’s a feature…."

The glitch  encountered on Bloomsday by Agent Smith (who represents 
the academic world) is the author  of the above page, John P. Anderson.
The feature  is the book  that Anderson quotes, James Joyce 
by Richard Ellmann
(first published in 1959, revised in 1982).

Tuesday, June 19, 2018

Death on Father’s Day

Filed under: Uncategorized — m759 @ 8:45 PM

From the University of Notre Dame in an obituary dated June 17

Timothy O’Meara, provost emeritus, Kenna Professor of Mathematics Emeritus and Trustee Emeritus at the University of Notre Dame, died June 17. He was 90.

A member of the Notre Dame faculty since 1962, O’Meara twice served as chairman of the University’s mathematics department and served as its first lay provost from 1978 to 1996.
. . . .         

He was graduated from the University of Cape Town in 1947 and earned a master’s degree in mathematics there the following year.  Earning his doctoral degree from Princeton University in 1953, he taught at the University of Otago in New Zealand from 1954 to 1956 before returning to Princeton where he served on the mathematics faculty and as a member of the Institute for Advanced Study for the next six years.  
. . . .

In addition to his mathematical teaching and scholarship, he published magisterial works, including “Introduction to Quadratic Forms,” “Lectures on Linear Groups,” “Symplectic Groups” and “The Classical Groups and K-Theory,” co-authored with Alexander J. Hahn, professor of mathematics emeritus at Notre Dame and a former O’Meara doctoral student.
. . . .

Related material (update of 9:20 PM ET on June 19) —

Ici vient M. Jordan

Filed under: Uncategorized — Tags: , — m759 @ 2:13 AM

NY Times correction, online June 16, about 'Here Comes Mr. Jordan' and 'Heaven Can Wait'

See also this  journal on Saturday morning, June 16.

Sunday, June 17, 2018

Bead Game Introduction

Filed under: Uncategorized — m759 @ 11:11 PM

From The Abacus Conundrum

Bastian Perrot… constructed a frame, modeled on a child’s abacus, a frame with several dozen wires on which could be strung glass beads of various sizes, shapes, and colors. The wires corresponded to the lines of the musical staff, the beads to the time values of the notes, and so on. In this way he could represent with beads musical quotations or invented themes, could alter, transpose, and develop them, change them and set them in counterpoint to one another. In technical terms this was a mere plaything, but the pupils liked it.… …what later evolved out of that students’ sport and Perrot’s bead-strung wires bears to this day the name by which it became popularly known, the Glass Bead Game.”

— Das Glasperlenspiel  (Hermann Hesse, 1943)

See also Web Audio Resources at GitHub.

Saturday, June 16, 2018

Kummer’s (16, 6) (on 6/16)

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

"The hint half guessed, the gift half understood, is Incarnation."

— T. S. Eliot in Four Quartets

See too "The Ruler of Reality" in this journal.

Related material —

A more esoteric artifact: The Kummer 166 Configuration . . .

An array of Göpel tetrads appears in the background below.

"As you can see, we've had our eye on you
for some time now, Mr. Anderson."

For June 16

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

"But perhaps the desire for story
is what gets us into trouble to begin with."

Sarah Marshall on June 5, 2018

"Beckett wrote that Joyce believed fervently in
the significance of chance events and of
random connections. ‘To Joyce reality was a paradigm,
an illustration of a possibly unstateable rule
According to this rule, reality, no matter how much
we try to manipulate it, can only shift about
in continual movement, yet movement
limited in its possibilities’ giving rise to
‘the notion of the world where unexpected simultaneities
are the rule.’ In other words, a coincidence  is actually
just part of a continually moving pattern, like a kaleidoscope.
Or Joyce likes to put it, a ‘collideorscape’."

— Gabrielle Carey, "Breaking Up with James Joyce,"
Sydney Review of Books , 15 June 2018

Carey's carelessness with quotations suggests a look at another
author's quoting of Ellmann on Joyce

Thursday, June 14, 2018


Filed under: Uncategorized — m759 @ 3:45 PM

The previous post suggests . . .

Also on Nov. 12, 2016 —

See too other posts tagged  "on160713."

Wylie’s Bull

Filed under: Uncategorized — m759 @ 1:00 PM

"There is a structure theory for bull-free graphs
 modulo the structure of triangle-free graphs
  and their complements, which again is not easy.
  (The bull has a triangular face, with horns or
  pendant edges at two of its three vertices.)"

— Peter J. Cameron today

For example —

The bull graph in a book by Clarence R. Wylie, Jr.
(author of the poem "Paradox" (1948)). See no. 6 below —

See also Wikipedia.

Related material —

J. Paul Getty and Minotaur, according to Hollywood —

How to Arrange Things

Filed under: Uncategorized — m759 @ 12:00 PM

Midrash by Scholem —

New version of the above "Fullness of Time" link —

Page by Page .


Filed under: Uncategorized — m759 @ 11:11 AM

Link, Not Wand.

Filed under: Uncategorized — m759 @ 12:25 AM

"How frail the wand, but how profound the spell !"

— Clarence R. Wylie, Jr., "Paradox" (1948)

The above fanciful PlayStation symbols suggest an etymology

See also Kipnis.

Wednesday, June 13, 2018

Not So New

Filed under: Uncategorized — m759 @ 10:48 AM

"I just found me a brand new box of matches …"

— Soundtrack of the  trailer for "Ocean's 8"

" matchwood, immortal diamond …." —

Click the above definitions for further information.

See as well Blue Diamond in this journal.

Tuesday, June 12, 2018

Like Decorations in a Cartoon Graveyard

Filed under: Uncategorized — m759 @ 11:00 PM


Two visions of happy neurons:

This post was suggested by a link in today's New York Times

"Simon Denny, the New Zealand artist whose work incorporates
board games, intervenes by introducing his own pieces into an attic of
the late-18th-century Haus zum Kirschgarten, already filled with
'old historical dollhouses, board games, chess games' and the like …."

Dark Laughter

Filed under: Uncategorized — m759 @ 3:00 PM

See John Ganz and Das Finstere Lachen .

From June 8

 “There are dark comedies. There are screwball comedies.
But there aren’t many dark screwball comedies.
And if Nora Ephron’s Lucky Numbers  is any indication,
there’s a good reason for that.”
— Todd Anthony, South Florida Sun-Sentinel

Too Clever By Half

Filed under: Uncategorized — m759 @ 2:14 PM

"Particularly if a person thinks of himself as clever,
he will often have a hard time admitting his own ignorance."

John Ganz in the online New York Times  today.

"One model for what I’m trying to accomplish is the writings of
Martin Gardner. Some other models are … well, actually, I’m not
going [to] tell you; I’d much rather imitate these writers in hope that
you’ll notice the resemblance and figure it out. That’s a game
I’ll be playing with you over the next few years."

— James Propp, Mathematical Enchantments, June 17, 2015.

A check of my own ignorance of synchronology . . .

a post of June 17, 2015.

Monday, June 11, 2018

Arty Fact

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

The title was suggested by the name "ARTI" of an artificial
intelligence in the new film 2036: Origin Unknown.

The Eye of ARTI —

See also a post of May 19, "Uh-Oh" —

— and a post of June 6, "Geometry for Goyim" — 

Mystery box  merchandise from the 2011  J. J. Abrams film  Super 8 

An arty fact I prefer, suggested by the triangular computer-eye forms above —

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

This is from the July 29, 2012, post The Galois Tesseract.

See as well . . .


Filed under: Uncategorized — Tags: — m759 @ 8:32 PM

A Scientific American  headline today —

Glittering Diamond Dust in Space
Might Solve a 20-Year-Old Mystery

Related art —

"Never underestimate the power of glitter."

Glitter by Josefine Lyche, as of diamond dust

Background:  "Diamond Dust" + Glitter in this journal.

Finite Fields in 1956

Filed under: Uncategorized — m759 @ 2:00 PM

The "more complicated" material mentioned by James Propp
in the previous post was notably described by A. A. Albert in 1956:

Sunday, June 10, 2018

Number Concept

Filed under: Uncategorized — m759 @ 2:45 PM

The previous post was suggested by some April 17, 2016, remarks
by James Propp on the eightfold cube.

Propp's remarks included the following:

"Here’s a caveat about my glib earlier remark that
'There are only finitely many numbers ' in a finite field.
It’s a bit of a stretch to call the elements of finite fields
'numbers'. Elements of GF() can be thought of as
the integers mod q  when q  is prime, and they can be
represented by 0, 1, 2, …, q–1; but when  is a prime
raised to the 2nd power or higher, describing the
elements of GF() is more complicated, and the word
'number' isn’t apt."

Related material —

See also this  journal on the date of Propp's remarks — April 17, 2016.

Pieces of April

Filed under: Uncategorized — Tags: — m759 @ 12:25 AM

This journal on April 16, 2018 —

Happy birthday to Pope Emeritus Benedict XVI.

Related material from another weblog in a post also dated April 16, 2018 —

"As I write this, it’s April 5, midway through the eight-day
festival of Passover. During this holiday, we Jews air our
grievances against the ancient Pharaoh who enslaved
and oppressed us, and celebrate the feats of strength
with which the Almighty delivered us from bondage —
wait a minute, I think I’m mixing up Passover with Festivus."
. . . .

"Next month: Time and Tesseracts."

From that next post, dated May 16, 2018 —

"The tesseract entered popular culture through
Madeleine L’Engle’s 'A Wrinkle in Time' . . . ."

The post's author, James Propp, notes that

" L’Engle caused some of her readers confusion
when one of the characters … the prodigy
Charles Wallace Murray [sic ] , declared 'Well, the fifth
dimension’s a tesseract.' "

Propp is not unfamiliar with prodigies:

"When I was a kid living in the Long Island suburbs,
I sometimes got called a math genius. I didn’t think
the label was apt, but I didn’t mind it; being put in
the genius box came with some pretty good perks."

— "The Genius Box," a post dated March 16, 2018

To me, Propp seems less like Charles Wallace
and more like the Prime Coordinator —

For further details, see the following synchronicity checks:

Propp March 16     Log24 March 16

Propp April 16        Log24 April 16

Propp May 16        Log24 May 16 .

Saturday, June 9, 2018

SASTRA paper

Filed under: Uncategorized — Tags: — m759 @ 11:14 PM

Now out from behind a paywall . . .

The diamond theorem at SASTRA —


Filed under: Uncategorized — m759 @ 12:29 PM

See Glory Road in this journal.

See also Road to Hell.

Through Marvel Comics, Darkly

Filed under: Uncategorized — m759 @ 12:00 PM

Click the above for "Cloak and Dagger" in this  journal.

Friday, June 8, 2018


Filed under: Uncategorized — m759 @ 2:13 PM

 “There are dark comedies. There are screwball comedies.
But there aren’t many dark screwball comedies.
And if Nora Ephron’s Lucky Numbers  is any indication,
there’s a good reason for that.”
— Todd Anthony, South Florida Sun-Sentinel

For Anthony Bourdain

Filed under: Uncategorized — m759 @ 2:00 PM

Flashback —

Thursday, August 21, 2014


Filed under: Uncategorized — m759 @ 1:00 AM 

( A sequel to  Lux )

“By groping toward the light we are made to realize
how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118

Robin Williams and the Stages of Math

i)   shock & denial
ii)  anger
iii) bargaining
iv) depression
v)  acceptance

A related description of the process —

“You know how sometimes someone tells you a theorem,
and it’s obviously false, and you reach for one of the many
easy counterexamples only to realize that it’s not a
counterexample after all, then you reach for another one
and another one and find that they fail too, and you begin
to concede the possibility that the theorem might not
actually be false after all, and you feel your world start to
shift on its axis, and you think to yourself: ‘Why did no one
tell me this before?’ “

— Tom Leinster yesterday at The n-Category Café

Thursday, June 7, 2018

ART WARS for Hanna and Her Sisters

Filed under: Uncategorized — m759 @ 10:38 PM

In memory of David Douglas Duncan

"Marissa, we picked up an unencrypted signal
below the Arctic Circle." — Hanna  (2011)

Paved with Good Intentions

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

'The Road to Universal Logic: Festschrift …'

See also David Brooks on logic in today's online New York Times —

"…the necessary skill of public life, the ability to
see two contradictory truths at the same time." 

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