Log24

Tuesday, November 21, 2017

Provocative Exhibitions

Filed under: Uncategorized — Tags: — m759 @ 1:02 PM

Wikipedia on a figure from the previous post

" Antonelli  was recognized with an AIGA Medal in 2015
for "expanding the influence of design in everyday life
by sharing fresh and incisive observations and
curating provocative exhibitions at MoMA".[4] She was
rated one of the one hundred most powerful people in
the world of art by Art Review and Surface Magazine.[5]  "

Speaking of exhibitions —

Monday, November 20, 2017

Dating Charlie*

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

Washington Post  dateline . . .

November 20 at 6:34 PM

Address . . .

https://www.washingtonpost.com/investigations/
eight-women-say-charlie-rose-sexually-harassed-them–
with-nudity-groping-and-lewd-calls/2017/11/20/ . . .

See also Charlie Rose in this  journal.

The only post found in a Log24 search for "Charlie Rose" is about
his May 7, 2008, interview with a Museum of Modern Art figure,
Paola Antonelli.  A more recent appearance by Antonelli —

Synchronolgy check — Log24 on the date 5 June 2012.

* Title and wording of post revised the following day.

Snowflake

Filed under: Uncategorized — m759 @ 3:24 PM

Made-up quote from an imaginary celebrity 
in today's online New York Times

"Lighten up and enjoy the act, snowflake."

Related material —

Ending Credits, a Log24 post of Jan. 26, 2015.

Sunday, November 19, 2017

Nightmare for Midsummer

Filed under: Uncategorized — m759 @ 9:36 PM

In memory of a Brooklyn art figure who reportedly killed himself
on November 9, 2017 —

From an obituary linked to here  in a post, "Information from the Middle 
of the Night
," at 2:02 AM ET on June 23, 2017 —

"In 1976, Ms. DeAk, with Mr. Robinson, Sol LeWitt and
Lucy Lippard, helped found Printed Matter, a publisher
and distributor of artists’ books."

"A version of this article appears in print on June 23, 2017,
on Page B15 of the New York edition with the headline:
Edit DeAk, a Champion of Artists Outside the Mainstream,
Dies at 68."

Related material —

Galois Space

Filed under: Uncategorized — m759 @ 8:00 PM

This is a sequel to yesterday's post Cube Space Continued.

Other Entertainment

Filed under: Uncategorized — m759 @ 11:02 AM

Suggested by the previous post

Wikipedia

" 'Dark Horse' is a song recorded by American singer
Katy Perry featuring rapper Juicy J. It was originally
released on September 17, 2013, by Capitol Records
as the first promotional single from Perry's fourth
studio album, Prism (2013)."

See also a link from the above date in this journal —

"In the Neighborhood of Mathematical Space,"
by Karen Shenfeld (1993).

Review

Filed under: Uncategorized — m759 @ 12:00 AM

"New to the series are the Trials of the Gods events
that pit players against Ancient Egyptian gods."

Review of the new game  Assassin's Creed: Origins 

"How much story do you want?" — George Balanchine

Geometry of the I Ching (Box Style)

Saturday, November 18, 2017

Cube Space Continued

Filed under: Uncategorized — m759 @ 4:44 AM

James Propp in the current Math Horizons  on the eightfold cube

James Propp on the eighfold cube

For another puerile approach to the eightfold cube,
see Cube Space, 1984-2003 (Oct. 24, 2008).

Thursday, November 16, 2017

Orison

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

The title, which of course means "Prayer,"
may also mean "Smartphone"  — See
other Log24 posts tagged Orisons.

Detail from a Log24 post on May 21, 2005

A Line at Infinity

Filed under: Uncategorized — m759 @ 12:00 PM

Lost Horizon

Filed under: Uncategorized — m759 @ 11:29 AM

Related material —

The following image in this journal

  .

Wednesday, November 15, 2017

Orison as Smartphone

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

Cloud Atlas , by David Mitchell (2004).

See also the previous post as well as
other posts now tagged Orisons.

In Thy Orisons

Filed under: Uncategorized — Tags: — m759 @ 10:28 AM

Midrash from
http://www.online-literature.com/forums/
showthread.php?16457-Decoding-Shakespeare

"It's an extremely complicated scene that needs a great deal of discussion
to fully appreciate. But essentially, Hamlet is arguing 'beauty' versus 'truth.'

And notice that Hamlet bases his whole argument on how beautiful Ophelia is,
as he sees her. There's the old saying, and it's perfectly true, that beauty is in
the eye of the beholder. As Hamlet looks at Ophelia, she's the most beautiful
thing he ever saw.

So we know how Hamlet feels about Ophelia, no matter what he says. When
he says he doesn't love her, he's lying through his teeth. If he didn't love her,
she wouldn't look so beautiful to him.

The Nunnery Scene is one of the great scenes in all of literature, and it's
beastly intricate and complicated. It's Hamlet's logical argument about truth
versus beauty, and as he says it to Ophelia, he's lyin' like a dog."

— "Amleth," 03-28-2006, 08:55 PM

See also this  journal on that date.

Tuesday, November 14, 2017

Dissident Bunk

Filed under: Uncategorized — m759 @ 3:03 PM

Published today —

        One man's Bunk  is another man's  Dissident Gardens .

Monday, November 13, 2017

Plan 9 at Yale

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

Yale Professors Race Google and IBM to the First Quantum Computer

"So, after summer, in the autumn air, 
Comes the cold volume*  of forgotten ghosts,

But soothingly, with pleasant instruments, 
So that this cold, a children's tale of ice, 
Seems like a sheen of heat romanticized."

— Wallace Stevens,
"An Ordinary Evening in New Haven"

* Update of 10:20 the same evening:

An alternative to The Snow Queen  
as "the cold volume" of Wallace Stevens

On The King in the Window , by Adam Gopnik —

"The book is dedicated to Adam Gopnik's son,
Luke Auden, and his late, great godfathers,
Kirk Varnedoe and Richard Avedon.

'A fantasy that is as ambitious in theme,
sophisticated in setting, and cosmic in scope
as the works of Madeline L'Engle.

The unlikely eponymous hero is Oliver Parker,
an 11-year-old American boy living in Paris
with his mother and journalist father.
After he finds a prize in his slice of cake on
The Night of Epiphany and dons the customary
gilt-paper crown, the boy is plunged into
a battle over nothing less than control of the universe.

His enemy is the dreaded Master of Mirrors,
who rose to power during the reign of Louis XIV,
when Parisians developed technology for making
sheet glass. This faceless, evil being,
capable of capturing souls
through mirrors and enslaving them
in an alternate world that lies beyond all mirrors,
now seeks to dominate the entire universe by
mounting a quantum computer on the Eiffel Tower.

Oliver's mission is to defeat the Master of Mirrors
and save his father's stolen soul.' "

— Description at https://biblio.co.nz/. . . .

New from Harlan Kane

Filed under: Uncategorized — m759 @ 1:23 PM

"I wrote another book!" — Harlan Kane

The Crimson Staff

In Nomine Patris

Filed under: Uncategorized — m759 @ 12:28 PM

See also Norbert Wiener  in this  journal  and

Related material for the Church of Synchronology

The Log24 post on the above New York Times  death date.

Sunday, November 12, 2017

Alice

Filed under: Uncategorized — m759 @ 9:00 PM

John Malkovich in the closing scene of
the recent film "Unlocked" —

1055
01:31:49,801 –> 01:31:53,301
We have time for a coffee.
There's a pastry shop by the river.

1056
01:31:54,092 –> 01:31:55,842
Excellent strudel.

Review

Filed under: Uncategorized — m759 @ 7:04 PM
 

Sunday, October 29, 2017

File System… Unlocked

Filed under: Uncategorized — m759 @ 2:16 PM 

. . . .

"Wikipedia's first true logo . . . . included a quote from the preface
of Euclid and His Modern Rivals  by Lewis Carroll . . . ." 

. . . .

Related dialogue from the new film "Unlocked" —

1057
01:31:59,926 –> 01:32:01,301
Nice to have you back, Alice.

1058
01:32:04,009 –> 01:32:05,467
Don't be a stranger.

See as well Chloë Grace Moretz portraying  a schoolgirl problem.

Meta Property

Filed under: Uncategorized — m759 @ 12:36 PM

<meta property="article:published" itemprop="datePublished"
content="2017-11-12T12:05:08-05:00" />

Related entertainment —

Devil’s Music

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

From the groom in the previous post — Swedenborg Chapel

And from November 7 last year —

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: Uncategorized — m759 @ 9:11 PM 

Click images for related material.

http://www.log24.com/log/pix12/120108-CardinalPreoccupied.jpg

"The Cardinal seemed a little preoccupied today."

Swedenborg Chapel

Filed under: Uncategorized — m759 @ 11:02 AM

 

See a related political note from the bride.

Saturday, November 11, 2017

For Your Consideration

Filed under: Uncategorized — m759 @ 11:00 PM

From today's online Wall Street Journal

A synchronology check of the above 2015 Taylor Swift date —

The above remarks suggest Swift as a possible presidential candidate:

From The Harvard Crimson  on Halloween

 .

Dating

Filed under: Uncategorized — m759 @ 3:00 PM

Related material —

Michael Sudduth in this journal and an October 28, 2017,
Facebook post by Sudduth.

Friday, November 10, 2017

The Rogin Gambit

Filed under: Uncategorized — m759 @ 7:59 PM

See today's New York Times  Rogin obituary.

"What happens next?"
Good question.

See also this  journal on November 4.

Influenz

Filed under: Uncategorized — m759 @ 6:00 PM

Influenz , by Paul Klee —

A Mathematician’s Apology

Filed under: Uncategorized — m759 @ 4:00 PM

(Click to enlarge.)

For the paper on Steiner systems, see the bibliographic link in
the previous Log24 post.

See as well Cameron's posts before and after his post above:

     .

Annals of Rarefied Scholarship

Filed under: Uncategorized — m759 @ 3:00 PM

From Cambridge Core, suggested by a reference to
that website in the previous post and by the following
bibliographic data . . .

https://doi.org/10.1017/fmp.2016.5

Downloaded from https://www.cambridge.org/core
on 10 Nov 2017 at 19:06:19 

See Conwell + Princeton in this journal.

Related art —

Style

Filed under: Uncategorized — m759 @ 6:38 AM

"Johann Georg Hamann (1730-88) is, by any measure, an obscure figure,
little known outside the exclusive circles of a certain very rarefied kind of
scholarship, hardly read at all even in his native Germany, and perhaps
truly understood by next to no one. And yet . . . ."

— "The Laughter of the Philosophers," by David Bentley Hart,
       First Things , January 2005

Update at 7 the same morning . . .

Meanwhile, back in 1963

and at 7:15 the same morning, from a different Cambridge

Thursday, November 9, 2017

Aesthetics: A Reading

Filed under: Uncategorized — m759 @ 11:07 PM

A source for 'Aesthetica in Nuce' from Cambridge University Press

See also posts from St. Andrew's Day now tagged "In Nuce." 

Anti-Christian Rumor at St. Andrews

Filed under: Uncategorized — m759 @ 3:14 PM

The St. Andrews in Focus  article is not available online.
That periodical is not affiliated with the University  of St. Andrews.

A University  of St. Andrews source —  "Honorary Reader" Peter Maxwell-Stuart — 
contradicts the above tale about the Archbishop of St. Andrews.

See his scholarly account in the following book —

See particularly pages 98, 99, 100, 101,
102, 103104, 105, 106, and 107.

Wednesday, November 8, 2017

Dyadic

Filed under: Uncategorized — m759 @ 11:00 AM

See also ICERM and Dyadic in this journal.

Tuesday, November 7, 2017

Polarities and Correlation

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

"Read something that means something."
                — New Yorker  ad

'Knight' octad labeling by the 8 points of the projective line over GF(7) .

The Seventh Symbol Revisited

Filed under: Uncategorized — m759 @ 12:00 PM

The image “http://www.log24.com/log/pix06A/060830-Box.jpg” cannot be displayed, because it contains errors.

The above square is from
a post of Aug. 30, 2006.

Monday, November 6, 2017

The Chomsky Koan

Filed under: Uncategorized — Tags: — m759 @ 12:45 PM

"Colorless green ideas sleep furiously   is a sentence
composed by Noam Chomsky in his 1957 book 
Syntactic Structures  as an example of a sentence 
that is grammatically correct, but semantically nonsensical."

Wikipedia article on the sentence

Buddhist midrash from The New York Times  today

"For example, psychology has lately started to let go of its
once-sharp distinction between 'cognitive' and 'affective' 
parts of the mind; it has started to see that feelings are so
finely intertwined with thoughts as to be part of their very
coloration." 

See also other recent Log24 posts now tagged Coloration.

Castle Rock…

Filed under: Uncategorized — m759 @ 12:00 PM

According to a comment on the latest Instagram
post of Oslo artist Josefine Lyche —
 

🏰💎.


See also "Castle Rock" in this  journal.

Babble On

Filed under: Uncategorized — Tags: — m759 @ 4:04 AM

A midrash on the previous post, "Spectrum at the Center" . . .

In lieu of Judy Garland singing "Somewhere Over the Spectrum," 
a flashback to a post from 2013 —

Sunday, September 15, 2013

Babble On

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

“ ’A babbled of green fields
— Phrase attributed to Shakespeare

Red to Green

ROYGBIV

Ite, missa est.

Sunday, November 5, 2017

Spectrum at the Center

Filed under: Uncategorized — Tags: — m759 @ 12:48 PM

The top article in the New York Times Wire  list below is about
a new play that opened at the Sheen Center on All Souls' Day.

Friday

Filed under: Uncategorized — m759 @ 12:00 PM

Trinity

Filed under: Uncategorized — m759 @ 11:00 AM

A model of the smallest projective  line:

Related drama:  See Wicker Man in this journal.

Saturday, November 4, 2017

Seven-Cycles in an Octad

Filed under: Uncategorized — m759 @ 8:00 PM

Figures from a search in this journal for Springer Knight
and from the All Souls' Day post The Trojan Pony

     Binary coordinates for a 4x2 array  Chess knight formed by a Singer 7-cycle

For those who prefer pure abstraction to the quasi-figurative
1985 seven-cycle above, a different 7-cycle for M24 , from 1998 —


Compare and contrast with my own "knight" labeling
of a 4-row 2-column array (an M24 octad, in the system
of R. T. Curtis)  by the 8 points of the projective line
over GF(7),  from 2008 —

'Knight' octad labeling by the 8 points of the projective line over GF(7)

Friday, November 3, 2017

You Can Ride

Filed under: Uncategorized — m759 @ 12:31 PM

(Continued from the previous post, The Trojan Pony.)

Stevie Nicks- 'High atop your pony'

Thursday, November 2, 2017

The Trojan Pony

Filed under: Uncategorized — m759 @ 7:31 PM

From a search in this journal for Springer Knight

     Binary coordinates for a 4x2 array  Chess knight formed by a Singer 7-cycle

Related material from Academia —

Nash and Needleman, 'On Magic Finite Projective Space,' Dec. 4, 2014

See also Log24 posts from the above "magic" date,
December 4, 2014, now tagged The Pony Argument.

Of Many Changes

Filed under: Uncategorized — m759 @ 11:40 AM

Thanks to Emily Wilson and Wyatt Mason for an excellent
discussion in today's online New York Times  on Wilson's
new translation of Homer's Odyssey  (to be released Nov. 7).

A detail from the Wilson-Mason article —

See as well

History of Mathematics for All Souls’ Day

Filed under: Uncategorized — m759 @ 9:00 AM

Schoolgirl Problem  

"Buy this image" . . . Or not.

Related material from the date of the above photo —

For related drama, see "Child's Play" in this journal.

Wednesday, November 1, 2017

Many Years

Filed under: Uncategorized — m759 @ 9:00 PM

From Tony Phillips's American Mathematical Society column
for November 2017 —

" It is significant that the authors chose to place this announcement
of their results not in a mathematics journal but in one aimed at a
much larger scientific audience; their writing is appropriately
expository, especially in the introduction. Nature  itself ran an 
assessment of the paper in their 'News and Views' section,
October 4: 'Mathematics: A pariah finds a home,' by Terry Gannon.
Gannon sets the stage, again in terms suitable for wide consumption,
and sketches out the story. He ends 'It is always difficult to gauge
the importance of a mathematical result without the hindsight
that many years brings.
Nevertheless, Duncan et al.  have shown us
a door. Whether it is to a new closet, house or world, we cannot yet say,
but the results are certainly unexpected, and no one will think of
the pariahs in the same way again.' "

See as well Log24 on the above date — Text and Context.

Cameron on All Saints’ Day

Filed under: Uncategorized — m759 @ 2:01 PM

"Nowdays, Halloween involves plastic figures of ghosts and bats
bought from the supermarket; this is driven by commerce and
in some people’s view is an American import. But it is clear that
this time of year was traditionally regarded as one where the barrier
between this world and the other was low, and supernatural
manifestations were to be expected."

Peter J. Cameron today.

Remarks related to another "barrier" and vértigo horizontal

See also a search for  Horizon + "Western Australia"  in this  journal.

From that search:  A sort of horizon, a "line at infinity," that is perhaps
more meaningful to most Cameron readers than the above remarks
by Borges —

Aleph Meets Zahir

Filed under: Uncategorized — m759 @ 12:00 AM

For the "Aleph" of the title in the seal of
the College of the Desert, see the final post
in a search for the College in this journal.

A better-known Aleph appears in a story by Borges.
See Borges + Aleph in this journal.

For the "Zahir" of the title, see another story by Borges
and the coin scenes in the films "No Country for Old Men"
(2007) and "Mojave" (2015).

The word "Zahir" has appeared previously in this journal
in a post of January 11, 2011, Soul and Spirit.

Tuesday, October 31, 2017

One Fell Shmoop

Filed under: Uncategorized — m759 @ 12:48 PM

https://www.shmoop.com/no-country-for-old-men/coin-symbol.html —

"You know the date on this coin?"

Related material —

This journal on March 7, 2014

From Klein’s 1893  Lectures on Mathematics —

The varieties introduced by Wirtinger may be called 
  Kummer varieties….” — E. Spanier, 1956

From the "varieties introduced by Wirtinger" link above —

 .

For All Hallows’ Eve

Filed under: Uncategorized — m759 @ 11:00 AM

See the previous post and College of the Desert in this journal.

From the latter, see particularly Slide 69 in Geoff Hagopian's Symmetry.

Monday, October 30, 2017

For Devil’s Night

Filed under: Uncategorized — m759 @ 11:25 PM

Location, Location, Location

From a Los Angeles Times  piece on Epiphany (Jan. 6), 1988 —

"Some 30 paces east of the spooky old Chateau Marmont is
the intersection of Selma and Sunset Boulevard." . . . . 
"Though it is not much of an intersection, the owner of
the liquor store on that corner might resent that you have
slotted his parking lot in the Twilight Zone. . . .
And directly across Sunset from Selma looking south is
where the infamous Garden of Allah used to stand. . . ."

ID

Filed under: Uncategorized — m759 @ 10:28 PM

The Lore and Language of Dan Brown

Filed under: Uncategorized — m759 @ 8:18 PM

In memory of  two beloved folklorists

"Iona Opie, a British folklorist who worked with her husband,
Peter, to produce major studies of nursery rhymes as well as
the oral traditions of games, jokes, nicknames, taunts and
pranks among schoolchildren, died on Oct. 23 in the town of
Petersfield, in Hampshire, England. She was 94."

The New York Times  this evening

Scholium on this  journal's remarks of October 23

"Hello there, Dapper Dan, where were you when …."

Plato and His Modern Rivals

Filed under: Uncategorized — m759 @ 1:00 PM

The previous post's Lewis Carroll cover,
modified to illustrate Plato's diamond

Book cover modified to illustrate 'Plato and His Modern Rivals'

See also "To Forge
a Head
" (Oct. 27).

Sunday, October 29, 2017

Rivals

Filed under: Uncategorized — m759 @ 11:00 PM

The passage from Lewis Carroll's Euclid and His Modern Rivals 
in the previous post suggests two illustrations —

Click the Trudeau book for related Log24 posts.

File System… Unlocked

Filed under: Uncategorized — m759 @ 2:16 PM

Logo from the above webpage

See also the similar structure of  the eightfold cube,  and

Related dialogue from the new film "Unlocked"

1057
01:31:59,926 –> 01:32:01,301
Nice to have you back, Alice.

1058
01:32:04,009 –> 01:32:05,467
Don't be a stranger.

Sunday in the Park

Filed under: Uncategorized — Tags: — m759 @ 1:18 PM

http://www.abc.net.au/news/2017-10-29/
mexico-city-day-of-dead-parade-honours-quake-rescuers/
9097134

Scholium —

Related material —  Sunday in the Park  in this  journal.

Damnation… Or Not?

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

Related material —

Faust Vivifies Death with Wit and Humor
by April H. N. Yee, Harvard Crimson , Feb. 7, 2008.

See as well all posts now tagged Willow and Mandorla.

Saturday, October 28, 2017

Lowell Brown at Vanity Fair

Filed under: Uncategorized — Tags: — m759 @ 8:18 PM

A sequel to the post  CP  is for Consolation Prize  (Sept. 3, 2016)

An image from Log24 on this date last year:

A recent comment on a discussion of CP symmetry

Dating Harvard

Filed under: Uncategorized — m759 @ 12:00 PM

(Continued from 10 AM)

"Think of a DO NOT ENTER  pictogram,
a circle with a diagonal slash, a type of ideogram.
It tells you what to do or not do, but not why.
The why is part of a larger context, a bigger picture."

— Customer review at Amazon.com

Layered and Crisscrossed

Filed under: Uncategorized — m759 @ 11:45 AM

The title is from the previous post —

"It’s an aesthetic that presents,
so to speak, just the facts, 
as if the facts themselves weren’t
deeply layered with living history
and crisscrossed with vectors
of divergent ideas and ideals."

Richard Brody, Thursday, Oct. 26, 2017

From Brody's New Yorker  contributor page —

"Reading List:  Richard Brody recommends
Louis Menand’s “Browbeaten,” about Dwight Macdonald."

Just the Facts

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

The New Yorker  on the recent film "The Square"

"It’s an aesthetic that presents,
so to speak, just the facts, 
as if the facts themselves weren’t
deeply layered with living history
and crisscrossed with vectors
of divergent ideas and ideals."

— Richard Brody, Thursday, Oct. 26, 2017

For other images deeply layered  and crisscrossed ,
see Geometry of the I Ching.

Dating Harvard

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

See also this journal on today's date four years ago.

Friday, October 27, 2017

To Forge a Head

Filed under: Uncategorized — m759 @ 12:25 PM

The title was suggested by a 2014 Vanity Fair  piece
by James Toback (Harvard '66).

"He squinted at this vision of a Qualityless world for a while,
conjured up more details, thought about it, and then squinted
some more and thought some more and then finally circled
back to where he was before.

Squareness.

That's the look. That sums it. Squareness. When you subtract
quality you get squareness. Absence of Quality is the essence
of squareness."

— Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance

And when you add  quality?

A related Zen joke from Final Club (June 19, 2017) —

.

Finite Geometry at Zenodo

Filed under: Uncategorized — m759 @ 11:32 AM

DOI

Thursday, October 26, 2017

To Forge Ahead

Filed under: Uncategorized — m759 @ 9:48 PM

"Harvard Man" director James Toback (Harvard '66) in 2014 —

Film director James Toback on maintaining 'the energy to forge ahead'

See also, in this  journal, Preparation (April 1, 2013) —

A Center

Filed under: Uncategorized — m759 @ 8:40 PM

This post was suggested by a New York Times  obituary this evening —

"Tom Mathews, Promoter of Liberal Causes and Candidates, Dies at 96."

Mathews reportedly died on October 14, 2017.

"Mr. Mathews and his business partner Roger Craver 'dreamed for years
of finding the perfect citizen-candidate,' the authors wrote, 'a man or
woman of the center-left with a feel for issues, a history of independence,
a winning television manner and, most important of all, a center — a core
of beliefs more important to him or her than getting elected.'

Dream on.

From the date of Mathews's death:

Posts now tagged A Center for Krauss

"Let no one ignorant of geometry enter"

SourceForge Finite Geometry Download

Filed under: Uncategorized — m759 @ 2:22 PM

Wednesday, October 25, 2017

To the Egress

Filed under: Uncategorized — Tags: — m759 @ 9:24 PM

The New York Times  at 8:22 PM ET

"Knight Landesman, a longtime publisher of Artforum magazine
and a power broker in the art world, resigned on Wednesday
afternoon, hours after a lawsuit was filed in New York accusing
him of sexually harassing at least nine women in episodes that
stretched back almost a decade."

See as well, in this  journal, Way to the Egress.

The Palo Alto Edge

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

From Stanford — The death on October 9, 2017, of a man who
"always wanted to be at the most cutting of cutting-edge technology."

Related material from Log24 on April 26, 2017

A sketch, adapted from Girl Scouts of Palo Alto —

Click the sketch for further details.

Harvard Canvas

Filed under: Uncategorized — m759 @ 12:00 PM

Background:

https://canvas.harvard.edu/files/1075839/
download?download_frd=1
&verifier=hF1KBmm7pQJkJxgQ3lXk7qDlPWIhSQ89qrlnceIM
.

See posts now tagged Slab.

The Source (Not by Michener)

Filed under: Uncategorized — m759 @ 11:18 AM
 

Wikipedia:  Taiji (philosophy)

Etymology

The word 太極 comes from I Ching : "易有太極,是生兩儀,兩儀生四象,四象生八卦,八卦定吉凶,吉凶生大業。"

Taiji  (太極) is a compound of tai   "great; grand; supreme; extreme; very; too" (a superlative variant of da   "big; large; great; very") and ji   "pole; roof ridge; highest/utmost point; extreme; earth's pole; reach the end; attain; exhaust". In analogy with the figurative meanings of English pole, Chinese ji  極 "ridgepole" can mean "geographical pole; direction" (e.g., siji  四極 "four corners of the earth; world's end"), "magnetic pole" (Beiji  北極 "North Pole" or yinji  陰極 "negative pole; cathode"), or "celestial pole" (baji  八極 "farthest points of the universe; remotest place"). Combining the two words, 太極 means "the source, the beginning of the world".

Common English translations of the cosmological Taiji  are the "Supreme Ultimate" (Le Blanc 1985, Zhang and Ryden 2002) or "Great Ultimate" (Chen 1989, Robinet 2008); but other versions are the "Supreme Pole" (Needham and Ronan 1978), "Great Absolute", or "Supreme Polarity" (Adler 1999).

Tuesday, October 24, 2017

Visual Insight

Filed under: Uncategorized — m759 @ 1:00 PM

The most recent post in the "Visual Insight" blog of the
American Mathematical Society was by John Baez on Jan. 1, 2017


A visually  related concept — See Solomon's Cube in this  journal.
Chronologically  related — Posts now tagged New Year's Day 2017.
Solomon's cube is the 4x4x4 case of the diamond theorem — 

Monday, October 23, 2017

Plan 9 Continues

Filed under: Uncategorized — m759 @ 9:00 PM

Click for some background

Another approach, for Dan Brown fans —

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

The Public Square*

Filed under: Uncategorized — m759 @ 12:00 PM

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

Sunday, October 22, 2017

Harvard News

Filed under: Uncategorized — m759 @ 9:42 PM

Noesis

Filed under: Uncategorized — m759 @ 11:00 AM

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

https://canvas.harvard.edu/courses/34189/
files/folder/HistSci%20206r%202012/
Other_readings_1064115?preview=4610028
.

See also

https://web.archive.org/web/20010604073902/
http://www.ultrahiq.net:80/MegaSociety/Noesis/NoesisE.htm
.

Some background — Posts now tagged Noesis.

Saturday, October 21, 2017

Crimson Algebra

Filed under: Uncategorized — m759 @ 7:23 PM

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

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

The New Yorker , issue of October 23, 2017

See as well posts tagged Death Warmed Over.

Shift Lock

Filed under: Uncategorized — m759 @ 11:00 AM

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

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

(i) shining, radiance, luminosity

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

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

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

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

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

Back to Halloween Season

Filed under: Uncategorized — m759 @ 1:00 AM

Images for Martin Gardner's birthday —

"Hail, Caesar!" — The Coen Brothers

Friday, October 20, 2017

Punch Lines

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

From a post last month

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

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

… and for Tom HanksDan Brown, and Francine Prose —

"You're gonna need more typewriters!"

Heart of the Monkey God

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

In Memoriam

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

National Catholic Reporter , Oct. 20, 2017

October 18 was St. Luke's Day. 

From the Log24 post "Prose" on that date

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

From the novel under review —

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

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

See as well all posts now tagged Prose Monkey.

Thursday, October 19, 2017

Design Grammar***

Filed under: Uncategorized — m759 @ 10:22 PM

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

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

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

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

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

** A well-known construction.

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

Graphic Design: Fast Forward

Filed under: Uncategorized — m759 @ 8:18 PM

Typographical: » 

Eightfold Cube:

 

Prose (continued from yesterday)

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

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

»  Read more.

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

And Howe

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

The Harvard Crimson , Feb. 28, 2017

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

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

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

A related NPR book review yesterday —

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

Wednesday, October 18, 2017

Prose

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

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

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

A related book

See as well The Monkey Grammarian  in this  journal.

Three Small Grids

Filed under: Uncategorized — m759 @ 8:48 PM

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

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

Bach for String Quartet

Filed under: Uncategorized — m759 @ 1:37 PM

See also Bach + Quartet in this  journal.

Dürer for St. Luke’s Day

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

Structure of the Dürer magic square 

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

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

Base 4 —

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

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

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

Base 2 –

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

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

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

— Steven H. Cullinane,
  October 18, 2017

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

Tuesday, October 17, 2017

Plan 9 Continues

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

See also Holy Field in this journal.

Some related mathematics —

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

Analysis of the Lo Shu structure —

Structure of the 3×3 magic square:

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

3  8  1
2  4  6
7  0  5

In base 3 —

10  22  01
02  11  20
21  00  12

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

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

— Steven H. Cullinane,
     October 17, 2017

The Movement of Analogy

Filed under: Uncategorized — m759 @ 4:20 PM

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

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

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

See also Four Dots in this journal.

News from Jarvis (for Tony Stark)

Filed under: Uncategorized — m759 @ 3:22 PM

From the first New York Times Wire  item below

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

Status Symbols

Filed under: Uncategorized — m759 @ 2:02 PM

"Status: Defunct"  

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

In memoriam —

Excerpts from Log24 posts on Sunday night 
and yesterday evening

http://www.log24.com/log/pix11/110203-Scholia.jpg.

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

— e. e. cummings

Some literary background —

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

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

Monday, October 16, 2017

Halloween Meditation

Filed under: Uncategorized — m759 @ 7:27 PM

Box Office Report —

"Only a peculiar can enter a time loop."

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

A post from Halloween season seven years ago last Saturday

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

Reply to a Creepy Christmas Message

Filed under: Uncategorized — m759 @ 11:01 AM

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

University Diaries  on December 25, 2016

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

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

For this Halloween season, a creepy passage from James —

Highway 61 Revisited

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

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

Related material — 

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

— and Conway-Norton-Ryba in this  journal.

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

"Ultra Super Magic Square"

on the numbers 0 to 24:

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

Base-5:

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

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

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

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

— Steven H. Cullinane,
      October 16, 2017

Meta Property

Filed under: Uncategorized — m759 @ 1:00 AM

From The New York Times  this morning —

Where the Journey
is the Destination

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

By ONDINE COHANE   OCT. 16, 2017

. . . .

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

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

Sunday, October 15, 2017

Saturday Night Not-So-Live

Filed under: Uncategorized — m759 @ 11:59 PM

Hillel Italie at AP News —

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

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

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

http://www.log24.com/log/pix11/110203-Scholia.jpg.

"Things fall apart; the centre cannot hold"

William Butler Yeats (1865-1939)

An Interesting Symbol

Filed under: Uncategorized — m759 @ 2:00 PM

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

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

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

Other symbols —

Logo for a current New York Times  series

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

Illustration by Rodrigo Shopis

See also recent posts now tagged Five Movements for Lombardy.

The Strength at the Centre

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

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

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

Saturday, October 14, 2017

Center

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

Rosalind Krauss in 1978

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

Wikipedia

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

Illustration from a post of Feb. 3,  2011

http://www.log24.com/log/pix11/110203-Scholia.jpg.

In Principio:

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

Red October  continues …

See also Molloy in this  journal.

Related art  theory —

Geometry of the 4×4 Square 

Friday, October 13, 2017

Sicut Erat

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

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

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

https://www.smith.edu/insight/stories/darwin.php

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

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

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

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

See posts now tagged The Next Thing.

Nichtian

Filed under: Uncategorized — m759 @ 1:00 PM

From today's online Harvard Crimson

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

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

Sometimes not.

Speak, Memra

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

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

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

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

"Yes, Speaker!"

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

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

See also Transformers in this journal.

Thursday, October 12, 2017

East Meets West

Filed under: Uncategorized — m759 @ 8:09 PM

Ideograms

Filed under: Uncategorized — m759 @ 12:00 PM

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

Exegesis:

“But Back to the Action…”

Filed under: Uncategorized — m759 @ 11:40 AM

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

Click the image below for some related posts.

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

Slow News Day

Filed under: Uncategorized — m759 @ 11:00 AM

"They all laughed at Christopher Columbus" — Ira Gershwin

Gifted Continues

Filed under: Uncategorized — m759 @ 10:00 AM

Related material — See Gifted in this journal.

See as well Tulips.

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

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

Wednesday, October 11, 2017

IPFS Version

Filed under: Uncategorized — m759 @ 9:00 PM

Into the Wood

Filed under: Uncategorized — m759 @ 8:12 AM

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

— Jeannette Catsoulis

See also Princeton's Christopher Robin.

Advanced Study:

Filed under: Uncategorized — m759 @ 7:40 AM

A review.    See also previous posts on this topic.

Tuesday, October 10, 2017

Another 35-Year Wait

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

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

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

The Lévi-Strauss formula

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

S = f ( f ( X ) ) .

Some mathematics from last year related to the 1982 formula —

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

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

Dueling Formulas

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

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

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

   

Simplified versions of the diamonds and the dots
 

The Ring of the Diamond Theorem          ::

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

     First edition, Cornell University Press, 1970.

A related tale — "A Meaning, Like."

The 35-Year Wait

Filed under: Uncategorized — m759 @ 11:17 AM

From the Web this morning —

A different 35-year wait:

A monograph of August 1976 —

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

'The Seven Dwarfs and their Diamond Mine

"SEE HEAR READ" — Walt Disney Productions

Some other diamond-mine productions —

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

Monday, October 9, 2017

¿Águila o Sol?

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

Plan 9 Continues

Filed under: Uncategorized — m759 @ 7:20 PM

From the posts of October 9 four years ago —

Still Point for a Dance

Filed under: Uncategorized — m759 @ 12:00 PM

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

— T. S. Eliot, Four Quartets

See also a recurrent image
from this journal —

IMAGE- The ninefold square .

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