Tuesday, July 31, 2018

Easter Storytelling

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

From the Wikipedia article on the 1994 film "North"

"North is forced to ship himself home in a FedEx box.
He reaches his house but as he runs toward his parents,
an assassin takes aim. As he squeezes the trigger,
North awakens in the mall, now empty. The Easter Bunny
takes him home . . . ."

The film's author —

Zweibel's FedEx box suggests a review of
the post Geometry for Goyim (June 6, 2018).

A is for Abschattungen

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

Max Bialystock discovers a new playwright


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

"A blank underlies the trials of device." — Wallace Stevens

IMAGE- The ninefold square .

Monday, July 30, 2018

Blazoned Days

Filed under: General — m759 @ 11:00 PM

See the title phrase in this journal on Feb. 15, 2009, and
the blazon of the coat of arms of the University of York*
on the following day, Feb. 16, 2009 —

* See previous post.

Design in Academia

Filed under: General — m759 @ 10:45 PM

Related material —

See esp. the No. Land link.

Accio Watson, Continued*

Filed under: General — m759 @ 2:37 PM

* See the post Accio Watson  on Thursday, July 26.

Adventures in Logology

Filed under: General — m759 @ 1:19 PM

Mary McCarthy's philosophical remark in the previous post
suggests further investigation of the number 281 . . .

Another way to secure 281 –

Sunday, July 29, 2018

The Materialization

Filed under: General,Geometry — Tags: — m759 @ 11:01 PM

McCarthy's "materialization of plot and character" does not,
for me, constitute a proof that "there is  being, after all,
beyond the arbitrary flux of existence."

Neither does the above materialization of 281 as the page 
number of her philosophical remark.

See also the materialization of 281 as a page number in
the book Witchcraft  by Charles Williams —

The materialization of 168 as a page number in a 
Stephen King novel is somewhat more convincing,
but less convincing than the materialization of Klein's
simple group of of 168 elements in the eightfold cube.

A Summer Floater

Filed under: General — m759 @ 3:37 PM

From this afternoon's New York Times  obituaries,
a paragraph on an author who reportedly died 
Wednesday —

A 2016 Scribner edition of Stephen King's IT —


Angles and Saxons

Filed under: General — m759 @ 2:45 PM



See Saxon in this journal.

1984 Continues.

Filed under: General — m759 @ 2:15 PM

"We want every student to have a fulfilling experience
of higher education that enriches their lives and careers."

Sure you do.

For Whom the Bell

Filed under: General — m759 @ 1:00 PM

Click on the the bell 
for related posts.

Saturday, July 28, 2018


Filed under: General — m759 @ 12:06 PM


Filed under: General,Geometry — m759 @ 11:22 AM

Floyd:  "You're trying to figure out this length.
            That's the hypotenuse. So you have to
             know this angle."

Friday, July 27, 2018

404 Not Found

Filed under: General — m759 @ 11:47 PM

For Katherine Neville, author of The Eight

Phantom Swimwear

Filed under: General — m759 @ 4:13 PM

Thursday, July 26, 2018

And now … Svimwear!

Filed under: General — m759 @ 3:42 PM

The title is suggested by a vintage 80's Wendy's commercial
featuring a Soviet fashion show.

For the svimwear itself, see recent items on the New York Times Wire .

The Bible of the Field

Filed under: General — m759 @ 1:37 PM

Update at 2:05 PM ET the same day —

See also Log24 posts on the above date — August 1, 2015.

Accio Watson

Filed under: General — m759 @ 12:08 PM

Interview by Alice Lloyd George [AMLG] at techcrunch.com 
on April 17, 2017 —
. . . .

In an interview for Flux, I sat down with Natalya Bailey [NB], the co-founder and CEO of Accion Systems. 
. . . .

AMLG: When you talk about aliens I think of one of my favorite books by Carl Sagan  —  Contact. I don’t know if you ever watched the movie or read the book, but I picture you like Ellie in that film. She’s this brilliant scientist and stumbles across something big.

NB: I’ve definitely seen it. I’m currently making my way through Carl Sagan’s original Cosmos again.

AMLG: I love the original Cosmos. I’m a huge Carl Sagan fan, I love his voice, he’s so inspiring to listen to. Talking about books, I know you’re an avid reader. Did any books in particular influence you or your path to building Accion?

NB: Well I’m a gigantic Harry Potter fan and a lot of things around Accion are named after various aspects of Harry Potter, including the name Accion itself.

AMLG: Is that the Accio spell? The beckoning spell?

NB: Yes exactly. My co-founder and I were g-chatting late one night on a weekend and looking through a glossary of Harry Potter spells trying to name the company. Accio, the summoning spell, if you add an “N” to the end of it, it becomes a concatenation between “accelerate” and “ion,” which is what we do. That’s the official story of how we named the company, but really it was from the glossary of spells.

Related material — The Orbit Stabilizer Theorem.
See also the above date — April 17, 2017 —
in posts tagged Art Space.

In Memoriam

Filed under: General — m759 @ 12:14 AM

Wednesday, July 25, 2018

Bucharest Physics

Filed under: General,Geometry — m759 @ 3:52 PM

Update of 10:30 PM ET the same day —

For some philosophical background, including an I Ching  diagram, see . . .

See as well my own 8×8 diagram (1989) related to the I Ching .

Tuesday, July 24, 2018

Artistic Style

Filed under: General,Geometry — Tags: — m759 @ 10:45 AM

Monday, July 23, 2018

Eightfold Cube for Furey*

Filed under: General,Geometry — Tags: — m759 @ 10:31 PM

Click to enlarge:

Above are the 7 frames of an animated gif from a Wikipedia article.

* For the Furey of the title, see a July 20 Quanta Magazine  piece

See also the eightfold cube in this  journal.

"Before time began . . . ." — Optimus Prime

Now Witness

Filed under: General — m759 @ 10:35 AM

Space IOI

Filed under: General — m759 @ 9:26 AM

See also the previous post, "Space 101."

Note that "one-oh-one" is not the same as "eye-oh-eye."

Space 101

Filed under: General,Geometry — Tags: — m759 @ 1:01 AM

From the April 1st publication date of "Interality Shows Through,"
by Geling Shang —

See too yesterday's post  Space.

Sunday, July 22, 2018


Filed under: General,Geometry — Tags: , , , — m759 @ 10:29 AM

See also interality in the eightfold cube.

IMAGE- The Trinity Cube (three interpenetrating planes that split the eightfold cube into its eight subcubes)

Saturday, July 21, 2018

Comic-Con 2018

Filed under: General,Geometry — m759 @ 9:31 PM

"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

Columbia University Press: The Knight of CUP

Filed under: General — m759 @ 8:07 PM

Hidden Dimensions:

The Unification of Physics and Consciousness

(Columbia Series in Science and Religion) 

by B. Alan Wallace

  • Print Length: 173 pages
  • Publisher: Columbia University Press (August 28, 2007)
  • Publication Date: August 28, 2007

A look at this publication was suggested by the previous post,
Raiders of the Hidden Dimensions.

From the Columbia University Press description of Hidden Dimensions —

— https://cup.columbia.edu/book/hidden-dimensions/9780231141505

For variations on these themes, see Batman Begins (2005)
and the trailer for Knight of Cups (2015) —


Raiders of the Hidden Dimensions

Filed under: General — m759 @ 7:11 PM

See as well this  journal on the above YouTube date:  May 17, 2010.

For Sixers*

Filed under: General — m759 @ 12:40 PM

See "Route 6" in this journal.

From that search —

"Looking for what was, where it used to be" 
— Wallace Stevens

"‘It’s like going backwards in time to the late 1950s."
— Norma Jean Thompson

Related material (click to enlarge) —

* Term from a recent Steven Spielberg film.

Hole in the Wall*

Filed under: General — m759 @ 11:23 AM

* See also "Hole in the Wall" in this  journal.

Building-Block Theory

Filed under: General,Geometry — Tags: , — m759 @ 10:56 AM

(A sequel to yesterday’s Geometry for Jews)

From Dr/ Yau’s own website

From this journal on the above UCI posting  date — April 6, 2018 —

From this journal on the above lecture  date — April 26, 2018 —
illustrations in a post titled Defining Form

James Blish, 'Black Easter'

For the relevance of the above material to building blocks,
see Eightfold Cube in this journal.

Friday, July 20, 2018

Geometry for Jews

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


Click image to enlarge —

A portrait from the home page of David Eppstein,
a professor at the University of California, Irvine

… how can an image with 8  points and 8 lines
possibly represent a space with 7 points and 7 lines???

— David Eppstein, 21 December 2015

See ” Projective spaces as ‘collapsed vector spaces,’ ”
page 203 in Geometry and Symmetry  by Paul B. Yale,
published by Holden-Day in 1968.

Starting Over

Filed under: General — m759 @ 10:32 AM

See also "Smallest Perfect" in this journal.

Thursday, July 19, 2018

The Corrections (Continued)

Filed under: General — m759 @ 8:33 PM

A search for the phrase "nonlinear Boolean algebra" yields few results.

"Nonlinear Boolean functions " seems to be the phrase intended.

On the mathematics of nonlinear Boolean functions —

A memorable death —

For those who prefer narrative to mathematics —

A related image —

The Next Class

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

From "Blackboard Jungle" (1955)


– You see, music is based on mathematics,
and it's just that the next class


…is a little more advanced.


– We're advanced, teach. 


– Two times two is four.
Are  four. 

Note the date of the above YouTube video.
From that same date, Friday, Jan. 13th, 2017 —

Déjà Vu

Filed under: General — m759 @ 11:20 AM

The Devil His Due

Filed under: General — m759 @ 10:30 AM

Line from the 1957 cartoon in the previous post

"C'mon in , Eddie!"

Related dramatic monologue —

A Shot at Redemption

Filed under: General — m759 @ 9:07 AM

“I need a photo opportunity, I want a shot at redemption.
 Don’t want to end up a cartoon in a cartoon graveyard.”
 — Paul Simon

From a cartoon graveyard on yesterday's date in 1957 —

For the photo opportunity of the Paul Simon song, see
my former sixth-grade teacher on that same 1957 page.

The Bell

Filed under: General — m759 @ 12:29 AM

This journal on July 12, 2018

"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.

Wednesday, July 18, 2018

Mira and the Intruders* Present …

Filed under: General — Tags: — m759 @ 9:11 PM

Epiphany 2012: An Exercise
in Bulk Apperception

This post was suggested by a Marrific photo posted today,
by a New Orleans song as played by Bix Beiderbecke,
by a trailer for a new Zemeckis film that appeared at YouTube
on the way to the New Orleans song, and by
the longing for Bix by Mira Sorvino in "Intruders."

The YouTube Bix date, Jan. 6, 2012, suggested a trip back
to that date via a Zemeckis Cube (see "Ready Player One.")

From Log24 on Epiphany 2012

IMAGE- Cathy Hull, detail from cover of Hillman's 'The Dream and the Underworld'

A version of the Zemeckis Cube

From the Zemeckis trailer —

* See a Log24 search for Mira + Intruders.


Filed under: General,Geometry — m759 @ 12:00 PM

From "The Educated Imagination: A Website Dedicated
to Northrop Frye
" —

"In one of the notebooks for his first Bible book Frye writes,

'For at least 25 years I’ve been preoccupied by
the notion of a key to all mythologies.' . . . .

Frye made a valiant effort to provide a key to all mythology,
trying to fit everything into what he called the Great Doodle. . . ."

From a different page at the same website —

Here Frye provides a diagram of four sextets.

I prefer the Miracle Octad Generator of R. T. Curtis —

Counting symmetries with the orbit-stabilizer theorem.

Midnight in the Garden

Filed under: General — m759 @ 12:00 AM

Some historical background

Tuesday, July 17, 2018

Space Art

Filed under: General — m759 @ 9:45 PM

Related material —

See too Ballet Blanc  and Expanding the Spiel.

A non -Paris review

Grid Art

Filed under: General — m759 @ 2:02 PM

Comic-Con 2018

Filed under: General — 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: General — 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: General — m759 @ 11:19 PM

See also the above date here  on Bastille Day.

An Ordinary Evening

Filed under: General — m759 @ 8:29 PM

Art from a Google News weather report

Prime Day

Filed under: General — m759 @ 3:17 PM

Mary Stewart, 'The Little Broomstick'

Annals of Weaponized Mathematics

Filed under: General — m759 @ 2:35 PM

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

Greatly Exaggerated Report

Filed under: General,Geometry — 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: General — m759 @ 11:32 AM

From a search in this journal for Bloom Sublime

Sunday, July 15, 2018

Jewish Oases

Filed under: General,Geometry — Tags: — 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: General — Tags: — 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: General — 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: General — 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: General — Tags: — 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: General — m759 @ 8:17 PM

See Temple Bell in this journal.

Related material —

“We all float down here.”

Filed under: General — 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: General — m759 @ 2:41 PM

An image from the previous post

Related material — Looking Deeply.

For You

Filed under: General — m759 @ 2:02 PM

Expanding the Spiel

Filed under: General,Geometry — 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: General — m759 @ 1:32 PM

Related drama —


Treacherous Rescue

Filed under: General — m759 @ 12:37 PM

From a Log24 post of May 3, 2018

Related material —

Segue for Harlan Ellison

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

Thursday, July 12, 2018


Filed under: General — 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: General — 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: General — 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: General — m759 @ 12:54 PM

Kummerhenge Illustrated

Filed under: General,Geometry — 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: General — 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: General,Geometry — 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: General — 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: General — 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, 'IT,' plane, dark fields, school, bell, page 168, May 29

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: General — m759 @ 10:45 PM


The Pediment of Appearance —

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

High Concept for Amy

Filed under: General — m759 @ 8:12 PM

Beaty Confidential

Filed under: General — m759 @ 2:24 PM

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

Related entertainment —

From August 28, 2006

Filed under: General — m759 @ 1:01 PM

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

Temple of Doom

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

Sunday, July 8, 2018


Filed under: General — 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: General — m759 @ 2:02 PM

Or not.


Filed under: General,Geometry — 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: General — 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: General — 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: General — 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: General,Geometry — 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: General,Geometry — 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: General — 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: General — 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: General,Geometry — 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: General — Tags: , — m759 @ 4:56 PM

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

Lost in Quantum Space

Filed under: General,Geometry — 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: General — 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: General — Tags: — m759 @ 7:38 AM

So here's to you, Mrs. Robinson …

De Trinitate

Filed under: General — 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: General,Geometry — 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: General — 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: General — 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: General — Tags: — 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: General — 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

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 smaller tetrahedral arrangement, within the Steiner quadruple
system of order 8 modeled by the eightfold cube, see a book chapter
by Michael Huber of Tübingen

Steiner quadruple system in eightfold cube

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: General — m759 @ 2:47 PM

A College for Christine

Filed under: General — m759 @ 11:28 AM

See as well Zwicky in this journal.

The Perpetual Motion of T. S. Eliot

Filed under: General — m759 @ 10:28 AM

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

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