Saturday, September 30, 2017

Paradoxes for Oxymorons

Filed under: General — m759 @ 6:00 PM

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

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

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

— Wikipedia on the Monty Hall problem.

Related material —

Where Angels Fear to Tread

Filed under: General — m759 @ 8:38 AM

From the online New York Times  this morning —

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

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

— Profile of Dan Brown by Sarah Lyall

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

Friday, September 29, 2017

Principles Before Personalities*

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

(Some Remarks for Science Addicts)

Principles —

IMAGE- The large Desargues configuration in light of Galois geometry

Personalities —

* See "Tradition Twelve."

Thursday, September 28, 2017


Filed under: General,Geometry — Tags: — m759 @ 4:01 PM

From the New York Times Wire  last night —

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

From a Log24 post on September 23 —

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

On the wall— A Galois-geometry 'inscape'

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

The Last Word

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

Remarks suggested by the previous post

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

(Fordham University Press, 2007, page 3) —

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

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

See as well

(Order of news items transposed for aesthetic effect.)

Wednesday, September 27, 2017


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

    See also a related Log24 post.

Tuesday, September 26, 2017

Seeking Stillness

Filed under: General — m759 @ 12:00 PM

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

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

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

Still enough for you?

Happy Birthday, T. S. Eliot

Filed under: General — m759 @ 2:56 AM

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

Four Quartets

See posts now tagged Myspace China.

Monday, September 25, 2017

Bozeman Eck

Filed under: General — m759 @ 5:23 PM

Related story — 

MSU to award honorary doctorate to
Harvard professor Diana Eck

March 8, 2013 — MSU News Service

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

Sunday, September 24, 2017


Filed under: General — m759 @ 8:30 PM

"On April 23, 2009 ….

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

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

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

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



Filed under: General — m759 @ 11:00 AM

Cantina .

Sunday School

Filed under: General — m759 @ 9:29 AM

Saturday, September 23, 2017

The Turn of the Year

Filed under: General,Geometry — m759 @ 11:59 PM

Quioted here  last  year on September 23rd

See also Galois Quaternion.

The Turn of the Frame

Filed under: General,Geometry — Tags: , , — m759 @ 2:19 AM

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

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

See also the previous post and The Galois Tesseract.

Friday, September 22, 2017

February 11 Note

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

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

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

The Preface 

Thursday, September 21, 2017

LIFE and Abstract Thought

Filed under: General — m759 @ 10:26 PM

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

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

Product Placement

Filed under: General — m759 @ 5:17 AM

Wednesday, September 20, 2017

The Real Reporter*

Filed under: General — m759 @ 10:00 PM

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

An Abstract Power.

* As opposed to The Imaginary Professor.

The Imaginary Professor

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

Read more: 

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

Time and Chance Continues …

Filed under: General — Tags: — m759 @ 4:14 AM

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

The clock of Cortez's Palace in Cuernavaca

Tuesday, September 19, 2017

Time and Chance

Filed under: General,Geometry — Tags: — m759 @ 5:55 AM

(For Qohen Leth)

Monday, September 18, 2017

In Memoriam

Filed under: General — m759 @ 9:15 AM

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

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

Sunday, September 17, 2017

For St. Christopher (Hitchens)

Filed under: General — m759 @ 9:00 PM

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

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

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

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

The Third Brother

Filed under: General — m759 @ 11:48 AM

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


Filed under: General — m759 @ 1:40 AM

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

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

Related material —

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

Saturday, September 16, 2017


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

The above passage was suggested by an IMDb release date

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

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

The Zero Monstrance

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

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

Anthony Lane in The New Yorker  on a 2013 film —

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

Related dialogue from a 2008 film

Another view of the Zero Theorem derelict church —

Friday, September 15, 2017

Space Art

Filed under: General,Geometry — Tags: — m759 @ 2:05 PM

Silas in "Equals" (2015) —

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

Related material — 

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

See also Galois Space  in this  journal.

Thursday, September 14, 2017

Found …

Filed under: General,Geometry — m759 @ 11:02 PM

( A sequel to the previous post, Lost )

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

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

Related material —

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

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

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

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


Filed under: General — Tags: — m759 @ 11:32 AM

Scarlett Johansson, opening of 'Lost in Translation' (2003)

From a site suggested by a comment of Josefine Lyche

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

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

Group Actions

Filed under: General,Geometry — m759 @ 2:40 AM

From this journal on the above publication date —

Related material — Geometric Group Theory in this journal.

Wednesday, September 13, 2017

Summer of 1984

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

Group actions on partitions —

Cube Bricks 1984 —

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

Another mathematical remark from 1984 —

For further details, see Triangles Are Square.

Tuesday, September 12, 2017

Think Different

Filed under: General,Geometry — Tags: , — m759 @ 11:00 PM

The New York Times  online this evening

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

James Poniewozik 

Review —

Thursday, September 1, 2011

How It Works

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

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

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

. . . .

See also 1984 Bricks in this journal.

Chin Music

Filed under: General,Geometry — Tags: , — m759 @ 9:45 PM

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


Filed under: General,Geometry — Tags: — m759 @ 12:18 PM

"Truth and clarity remained his paramount goals…"

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

See also Paramount in this  journal.

Monday, September 11, 2017

New Depth

Filed under: General,Geometry — Tags: — m759 @ 9:48 PM

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

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

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

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

More Ado

Filed under: General — m759 @ 7:59 PM

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

From my RSS feed this evening —

Related material from the Web

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

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


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

“Leave a Space”

Filed under: General — m759 @ 9:00 AM

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

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

Sunday, September 10, 2017

Music for a Dark and Stormy Night

Filed under: General — m759 @ 4:28 AM

See also Misery in this journal.

Saturday, September 9, 2017

How It Works

Filed under: General,Geometry — Tags: , — m759 @ 8:48 PM

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


For del Toro


For the history of mathematics —

Thursday, September 1, 2011

How It Works

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

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

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

. . . .

Mathematics and Metaphysics

Filed under: General — m759 @ 9:59 AM

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

See as well Buddhism in the previous post.

Water Sounds for Developers

Filed under: General — m759 @ 1:44 AM

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

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

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

See also Snow White in the previous post.

Friday, September 8, 2017


Filed under: General — Tags: — m759 @ 9:35 PM

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

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


Applied Bullshit

Filed under: General — Tags: — m759 @ 8:08 PM

A page from a book suggested by the previous post

Another approach to "the midrash  of space" —


Bullshit Studies

Filed under: General — Tags: — m759 @ 2:02 AM

Or:  Nine, Eight, Seven . . .

See as well
Rainbow Countdown.

Thursday, September 7, 2017

Lead Us Not

Filed under: General — m759 @ 8:28 PM

Windmill vs. Diamond

Filed under: General — m759 @ 1:44 PM

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

Vanity Fair  editor Graydon Carter  in The New York Times  today

A note for Carter —


Filed under: General — Tags: — m759 @ 1:01 PM

See also Sweet Smell in this  journal.

His Friend Irma

Filed under: General — m759 @ 12:00 AM

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

— Wikipedia, Irma Vep

The director in question is one Olivier Assayas.

See also Assayas in this journal.

Wednesday, September 6, 2017

Nice Piece of Ice

Filed under: General — m759 @ 11:00 PM

Cue the Munchkins

Filed under: General — m759 @ 9:23 PM

Related material — 

For example —

Wonders of the Invisibilia World

Filed under: General — m759 @ 4:07 PM

"Talk amongst yourselves."

National Comedy

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

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

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

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

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


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

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


Filed under: General — m759 @ 2:00 PM

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

The Eye of Harvey meets the Eye of Shangri-La


Today's New York Times  on Fybish

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

— Sam Roberts

The Spectre of Capitalism

Filed under: General — Tags: — m759 @ 1:01 PM

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


Promotional summary

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


Tuesday, September 5, 2017

Annals of Critical Epistemology

Filed under: General,Geometry — Tags: — m759 @ 5:36 PM

"But unlike many who left the Communist Party, I turned left
rather than right, and returned—or rather turned for the first time—
to a critical examination of Marx's work. I found—and still find—
that his analysis of capitalism, which for me is the heart of his work,
provides the best starting point, the best critical tools, with which—
suitably developed—to understand contemporary capitalism.
I remind you that this year is also the sesquicentennial of the
Communist Manifesto , a document that still haunts the capitalist world."

— From "Autobiographical Reflections," a talk given on June 5, 1998, by
John Stachel at the Max Planck Institute for the History of Science in Berlin
on the occasion of a workshop honoring his 70th birthday, 
"Space-Time, Quantum Entanglement and Critical Epistemology."

From a passage by Stachel quoted in the previous post

From the source for Stachel's remarks on Weyl and coordinatization —

Note that Stachel distorted Weyl's text by replacing Weyl's word 
"symbols" with the word "quantities." —

This replacement makes no sense if the coordinates in question
are drawn from a Galois field — a field not of quantities , but rather
of algebraic symbols .

"You've got to pick up every stitch… Must be the season of the witch."
— Donovan song at the end of Nicole Kidman's "To Die For"

Florence 2001

Filed under: General,Geometry — Tags: — m759 @ 4:44 AM

Or:  Coordinatization for Physicists

This post was suggested by the link on the word "coordinatized"
in the previous post.

I regret that Weyl's term "coordinatization" perhaps has
too many syllables for the readers of recreational mathematics —
for example, of an article on 4×4 magic squares by Conway, Norton,
and Ryba to be published today by Princeton University Press.

Insight into the deeper properties of such squares unfortunately
requires both the ability to learn what a "Galois field" is and the
ability to comprehend seven-syllable words.

Monday, September 4, 2017

Identity Revisited

Filed under: General — Tags: — m759 @ 8:00 PM

From the Log24 post "A Point of Identity" (August 8, 2016) —

A logo that may be interpreted as one-eighth of a 2x2x2 array
of cubes —

The figure in white above may be viewed as a subcube representing,
when the eight-cube array is coordinatized, the identity (i.e., (0, 0, 0)).

Labor Date

Filed under: General — m759 @ 2:00 PM

(A sequel to the previous post, Up to Date

"Dr. Sekler lectured around the world, but one trip proved life-changing.
In 1962, the year he married, Dr. Sekler made his first trip to Nepal.
'It was the way it had been for centuries — a beautiful valley filled with
happy, peaceful people. It seemed like Shangri-La,' he told the Harvard
in 2004."

Bryan Marquard in The Boston Globe  today

See also "Eight is a gate" in this  journal.

Up to Date

Filed under: General — m759 @ 12:31 PM

The obituary for Sekler is somewhat surprising, given that he
reportedly died on May 1, 2017. His burial is also rather late,
according to the Globe  

"A service has been held for Dr. Sekler . . . .
 He will be buried Sept. 29 in a cemetery
 in Vienna, in his family’s plot."

"A memorial lecture in his honor is planned for November
at the Harvard Graduate School of Design." — The Globe

"All in good time, my little pretty."

Another design note related to May Day 2017 —

Related material —

A Vanderbilt University article titled "The significance of Sheriff Bell’s
dreams at the end of No Country for Old Men
," and an obituary from
a Log24 post, "Extreme Aesthetic Distance," of August 27, 2017 . . .


Filed under: General — Tags: , — m759 @ 3:12 AM

Cover design by Jarrod Taylor.
Book published on July 14, 2015.

For this journal on that date, see posts tagged Perspective.

Night at the Museum

Filed under: General — Tags: , — m759 @ 2:35 AM

Sunday, September 3, 2017

Dead Poet

Filed under: General — Tags: , — m759 @ 6:48 PM

The time is from
a screenshot 
of my RSS feed.

"All in good time."

(See this morning's
  Mosaic Logic.)


Filed under: General — Tags: — m759 @ 11:35 AM

See also Steely Dan in this  journal.


Filed under: General — m759 @ 11:00 AM

Search for Stone Logic in this journal.

Mosaic Logic

Filed under: General — m759 @ 10:45 AM

“Lord Arglay had a suspicion that the Stone would be
purely logical.  Yes, he thought, but what, in that sense,
were the rules of its pure logic?”

Many Dimensions  (1931), by Charles Williams

While you're waiting

Click the above illustration for
some remarks on mosaics.

Broomsday Revisited

Filed under: General,Geometry — m759 @ 9:29 AM

Ivars Peterson in 2000 on a sort of conceptual art —

" Brill has tried out a variety of grid-scrambling transformations
to see what happens. Aesthetic sensibilities govern which
transformation to use, what size the rectangular grid should be,
and which iteration to look at, he says. 'Once a fruitful
transformation, rectangle size, and iteration number have been
found, the artist is in a position to create compelling imagery.' "

"Scrambled Grids," August 28, 2000

Or not.

If aesthetic sensibilities lead to a 23-cycle on a 4×6 grid, the results
may not be pretty —

From "Geometry of the 4×4 Square."

See a Log24 post, Noncontinuous Groups, on Broomsday 2009.

Saturday, September 2, 2017

A Touchstone

Filed under: General,Geometry — Tags: , — m759 @ 10:16 PM

From a paper by June Barrow-Green and Jeremy Gray on the history of geometry at Cambridge, 1863-1940

This post was suggested by the names* (if not the very abstruse
concepts ) in the Aug. 20, 2013, preprint "A Panoramic Overview
of Inter-universal Teichmuller Theory
," by S. Mochizuki.

* Specifically, Jacobi  and Kummer  (along with theta functions).
I do not know of any direct  connection between these names'
relevance to the writings of Mochizuki and their relevance
(via Hudson, 1905) to my own much more elementary studies of
the geometry of the 4×4 square.

Try to Remember the Kind of September

Filed under: General — m759 @ 3:07 PM

(A prequel to an Ursula K. Le Guin story
in Fantastic  magazine, September 1962)

Cover art by Lloyd Birmingham for "Plane Jane"

Knight Moves

Filed under: General — Tags: — m759 @ 12:42 PM

Ursula K. Le Guin, in Amazing Stories , Sept. 1992, published
"The Rock That Changed Things" (pp. 9-13) and her story from
thirty years earlier, "April in Paris" (Fantastic Stories , Sept. 1962.)
The latter (pp. 14-19) was followed by some brief remarks (p. 19)
comparing the two stories.

For "The Rock," see Le Guin + Rock in this journal.

"April in Paris" is about time travel by means of an alchemist's
pentagram. The following figure from 1962 is in lieu of a pentagram —

'Loop De Loop,' Johnny Thunder, Diamond Records, 1962

See as well a search for 1962 in this journal.

Friday, September 1, 2017

Patterns for the Abbess

Filed under: General — m759 @ 11:15 PM

On Ursula K. Le Guin's short story
"The Rock That Changed Things"
(in A Fisherman of the Inland Sea ) —

From https://www.academia.edu/9496639/

By Richard D. Erlich, December 2005

…  And at this point a wise, old nur, so excellent at maintaining patterns that the obls let him live even after he was maimed, enters the discussion to do some pattern criticism.  For a first-order approximation reading, he suggests "It might say, 'The nur places stones,'" and others fill in that the nur would be Bu.  Ko corrects them with "patterns aren't ever about nurs!" and Bu counters with "Maybe patterns made of colors are."  Looking with all three of his eyes, Ko reads, "—'the nur places stones beautifully in uncontrollable loopingness …. foreshadowing the seen.'"  Un suggests "The vision" but cannot figure out the last word.  Bu is very excited, inferring that "the patterns of the colors …. aren't accidental.  Not meaningless.  All the time, we have been putting them here in patterns—not just ones the obls design and we execute, but other patterns—nur patterns—with new meanings."  Amid the straight lines of the obls' designs they now see, "other designs, less complete, often merely sketched or hinted—circles, spirals, ovals, and complex curvilinear mazes and labyrinths of great and unpredictable beauty and significance. ***  Both patterns were there; did one cancel the other, or was each part of the other?  It was difficult to see them both at once, but not impossible."  Had the nurs done this all totally unconsciously "without even knowing we were doing it?"   Un admits to having looked at colors, and so did Ko, plus "grain and texture."  Un warns them to keep word of their works from the Professors: "They don't like patterns to change….  It makes them nervous"— and nervous Professors are dangerous to nurs (62-63). 

Bu, however "was so excited and persuasive" about colors of stones "that other nurs of Obling began studying the color patterns, learning how to read their meanings."  And the practice spreads.  Soon, all sorts of nurs were finding "wild designs in colored stones, and surprising messages concerning obls, nurs, and blits" (64)  Conservative nurs— "Many nurs," we're told—resist the trend.  "If we start inventing new meanings, changing things, disturbing the patterns, where will it end?"   It is unclear just how many of the nurs believe «Mr. Charlie treats us real good»—or, as we soon see, Ms. Charlie—but certainly not Bu; she "would hear none of that; she was full of her discovery. She no longer listened in silence.  She spoke."  Bu goes up to the Rectory Mosaic, wearing around her neck a turquoise that she calls her "selfstone."  Up at the Mosaic, Bu crouches before the Rectoress and asks "Would the Lady Rectoress in her kindness answer a question I have?"  

["The Rock That Changed Things" was first published in Amazing Stories , Vol. 67 # 6, No. 574, September 1992, pp. 9-13.]

For an alternative to the Rectoress, see the Abbess of the previous post.


Filed under: General — m759 @ 10:25 PM

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