Log24

Friday, April 5, 2024

Annals of Magic: The Browne-Franklin Configuration

Filed under: General — Tags: , — m759 @ 5:10 pm

Wednesday, March 27, 2024

“Manifest” as Magick Verb

Filed under: General — m759 @ 12:32 pm

From an Instagram ad today —

See also this meaning of "manifest" in Sphere

novel by Michael Crichton, film by Barry Levinson.

Related material —

"Program or be programmed."
— A saying by the author of the above graphic novel.

Tuesday, March 19, 2024

Metadata: The Copenhagen Interpretation
of “Magic in the Moonlight”

Filed under: General — Tags: — m759 @ 5:43 pm

Tuesday, February 6, 2024

Annals of Magical Thinking:  Cha-ching!

Filed under: General — Tags: , — m759 @ 8:28 am

Saturday, January 20, 2024

Needful Things: Faustus at the Magic Mountain

Filed under: General — Tags: , — m759 @ 6:55 am

Image from a Sunday, January 7th, 2024, post now tagged "A Seventh Seal" —

Related image from a "Mathematics for Davos" post of
Thursday, January 18, 2024 —

Saturday, December 9, 2023

How Many  Magic Beans, Jack?

Filed under: General — Tags: , — m759 @ 3:31 pm

Two notes from this journal on December 2, 2023 —

A flashback for The November Man

As for " my own 'diamond theorem' " —

Question — "What is mathematician Steven H. Cullinane known for?"

From the Copilot response (shorn of footnotes) —

"Steven H. Cullinane is known for his work in finite geometry, particularly his Diamond Theorem. This theorem explains the surprising symmetry properties of some simple graphic designs, such as those found in quilts. It also provides a model for the 15 points, 35 lines, and 15 hyperplanes of the finite projective space PG (3,2).

Cullinane’s work underlies the structure of the 35 square patterns in R. T. Curtis’s Miracle Octad Generator. His theorem has applications to sporadic simple groups, the connection between orthogonal Latin squares and projective spreads, and the symmetry of Walsh functions."

Saturday, August 19, 2023

A Year for Magical Thinkers

Filed under: General — Tags: — m759 @ 9:27 am

See the posts of August 19, 2022.

Annals of Magical Thinking: The Shuttering

Filed under: General — Tags: , — m759 @ 9:17 am

"Death Valley and Joshua Tree national parks announced campgrounds
closures from noon Saturday through at least Tuesday and preemptively
shuttered several roadways." — Los Angeles Times  yesterday

Wednesday, June 21, 2023

Annals of Magical Thinking: The Rushmore Embedding

Filed under: General — Tags: , — m759 @ 11:53 am

http://www.log24.com/log/pix18/180830-Harry_Potter-Phil_Stone-Bloomsbury-2004-p168.jpg

Less magical: "What are vector embeddings?"

Monday, January 16, 2023

A Magic Mountain for McCarthy

Filed under: General — Tags: — m759 @ 12:58 pm

From my RSS feeds last night —

This  journal  on Wednesday, December 28, 2022

For those who prefer a "liturgical, ecstatic style" —

Wednesday, December 21, 2022

The Unmagic Square

Filed under: General — Tags: , , — m759 @ 12:45 pm

Last year on this date:

A Riddler Wannabe —

Related material — The Krauss passage quoted as above
by Shechtman in The New Yorker  in December 2021 appears
also in a Log24 post of October 18, 2017:  "Three Small Grids."

Wednesday, November 16, 2022

“A wondrous woven magic” — Song lyric

Filed under: General — Tags: — m759 @ 12:17 pm

Wednesday, July 6, 2022

Magic Mikes of the Lost Cities

Filed under: General — m759 @ 12:06 pm

See as well Shea Vassar on indigenous representation.

Monday, May 16, 2022

Sketch for a Magic Triangle

'Magic Triangle' by Steven H. Cullinane, 16 May 2022

Updates from later the same day —

Related affine structures —

'Magic Triangle' affine structure

See also "Square+Triangles" in this journal.

 

The fishlike shapes within three of the above
ninefold colored triangles suggest some . . .

Related Entertainment —

Tuesday, December 14, 2021

Magical Mystical Writing on Glass

Filed under: General — Tags: — m759 @ 10:35 am

Mark Zuckerberg at Harvard, May 25, 2017

"No one writes math formulas on glass.
That’s not a thing."

Saturday, November 20, 2021

The Unmagicking

Filed under: General — Tags: — m759 @ 11:51 am
 

Unmagic Squares

Consecutive positive integers:

1   2   3
4   5   6
7   8   9

Consecutive nonnegative integers:

0   1   2
3   4   5
6   7   8

Consecutive nonnegative integers
written in base 3:

00  01  02
10  11  12
20  21  22

This last square may be viewed as
coordinates, in the 3-element Galois
field GF(3), of the ninefold square.

Note that the ninefold square so viewed
embodies the 12 lines of the two-dimensional
affine space over GF(3)

As does, similarly, the ancient Chinese
"magic" square known as the "Lo Shu."

These squares are therefore equivalent under
affine transformations.

This method generalizes.

— Steven H. Cullinane, Nov. 20, 2021

Tuesday, March 2, 2021

For Fans of Chaos Magic

Filed under: General — Tags: — m759 @ 10:51 pm

The phrase “Chaos Magic” in the conclusion of last week’s
WandaVision episode suggests . . .

Friday, February 26, 2021

Non-Chaos Non-Magic

Filed under: General — Tags: , — m759 @ 12:21 pm

For fans of “WandaVision” —

“1978 was perhaps the seminal year in the origin of chaos magic. . . .”

Wikipedia article on Chaos Magic

Non-Chaos Non-Magic from Halloween 1978 —

The Cullinane diamond theorem, AMS Notices, Feb. 1979, pp. A-193-194

Related material —

A doctoral student of a different  Peter Cameron

( Not to be confused with The Tin Man’s Hat. )

Wednesday, January 20, 2021

The Magic Carpet Departs

Filed under: General — Tags: , — m759 @ 1:50 pm

Today's playlist at  Joint Base Andrews —

ARRIVAL – "Gloria" and "Small Town Girl."
DEPARTURE – "YMCA" and "Tiny Dancer."

Related notes for film fans —

"Hannah Ware does the most she can in the role of Katia."

I prefer the less stressful TV series "GLOW,"
starring Alison Brie —

“In the bluish light emanating from the TV,
EE looked at him, her eyes veiled."

— Being There , by Jerzy Kosinski

Sunday, November 22, 2020

Magic for Comedians

Filed under: General — m759 @ 11:56 pm

Saturday, August 22, 2020

Magic for Liars* . . .

Filed under: General — m759 @ 6:27 pm

From a web page

From YouTube, for the Church of Synchronology

Meanwhile, elsewhere . . .

* See that book title in this journal.

Wednesday, July 1, 2020

Magic Child

Filed under: General — Tags: , — m759 @ 12:06 pm

Friday, November 1, 2019

Rules of Magic

Filed under: General — m759 @ 12:21 pm

From Director's Cut (Saturday morning, Oct. 26) —

A related death on Saturday, Oct. 26  —

Tuesday, July 23, 2019

Word Magic

Filed under: General — m759 @ 1:52 pm

"Business-wise, Magic is working—Bloomberg reported 
that the game brought in $500 million in revenue last year.
Hasbro owns Monopoly and Scrabble, but Magic  is its top
game brand. . . . 

The idea of using a card mechanic to generate story has
precedent—the Italian postmodern writer Italo Calvino
generated an entire novel based on drawing from a
tarot card deck. Games provide frameworks that miniaturize
and represent idealized realities; so do narratives."

— Adam Rogers, Sunday, July 21, 2019, at Wired

"The Esper party began . . ." —

Life of the Party

    From Stephen King's Dreamcatcher :

The 'Dreamcatcher' warning

    From Alfred Bester's The Demolished Man :

Alfred Bester— 'The Esper party began.'

    From Anne McCaffrey's To Ride Pegasus :

"… it's going to be accomplished in steps, this
establishment of the Talented in the scheme of things."

Adam Rogers at Wired  as quoted above —

"The idea of using a card mechanic to generate story
has precedent. . . ."

See The Greater Trumps .

Friday, April 13, 2018

Mathmagic Land

Filed under: General — Tags: — m759 @ 5:45 pm

Continued from yesterday.

From Log24 on July 24, 2014

Later . . .

"Button, Button, Who's Got the Button?"

Manil Suri?

See also The Abacus Conundrum.

Monday, June 5, 2017

Magic in Mexico

Filed under: General — m759 @ 11:59 am

This post's title is that of a book in the 1958 film
"Bell Book and Candle." 

See also

Monday, January 16, 2017

The Magic Valley*

Filed under: General — Tags: — m759 @ 1:25 pm

An alternative to Davos

From a professor at Grand Valley

* Title suggested by Thomas Mann's 1924 novel about Davos

Monday, July 18, 2016

ART WARS: Magic Circles

Filed under: General — Tags: — m759 @ 2:01 am

An artist mentioned in  a NY Times  obituary  this morning —

(Click for the source.)

I prefer some not-so-magic circles —

Primitive roots modulo 17 and a related figure

Click for related posts tagged root circle.

Friday, May 22, 2015

Mathmagic Land

Filed under: General — Tags: , — m759 @ 12:00 pm

Donald Duck with Pythagorean pentagram on hand

Donald in Mathmagic Land

Manly P. Hall

Wednesday, February 18, 2015

Magical and Seductive

Filed under: General — m759 @ 9:45 am

"I am trying to introduce a narrative,
something magical and seductive…."

— Oslo artist Josefine Lyche, translated
from the Norwegian by Google

Perhaps something like Arcade Fire or
Taylor Swift? (Click links for related posts.)

Friday, July 25, 2014

Magic for Jews

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

(Continued from April 8, 2013.)

See Two Blocks Short of a Design (May 5, 2011).

Magic in the Moonshine

Filed under: General — Tags: , — m759 @ 12:00 pm

“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”

— Joseph Conrad in Heart of Darkness

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

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

Spectral evidence is a form of evidence
based upon dreams and visions.” —Wikipedia

See also Moonshine (May 15, 2014) and, from the date of the above
New York Times  item, two posts tagged Wunderkammer .

Related material: From the Spectrum program of the Mathematical
Association of America, some non-spectral evidence.

Thursday, July 24, 2014

Death in Mathmagic Land

Filed under: General — Tags: , , — m759 @ 11:29 am

(Continued from May 14, 2014.)

See also consciousness growth and the previous post.

Thursday, June 12, 2014

Magic

Filed under: General — Tags: — m759 @ 10:00 am

Wikipedia article on mathematician Herbert Wilf:

“One of Wilf’s former students is Richard Garfield,
the creator of the collectible card game
Magic: The Gathering .”

For more about Garfield, see yesterday’s post House of Cards.

Related material:  This journal on the date of Wilf’s death—

See also 2/02, 2014.

Wednesday, May 14, 2014

Death in Mathmagic Land

Filed under: General — Tags: , — m759 @ 3:28 pm

"It was our old friend Pythagoras who discovered
that the pentagram was full of mathematics."

— Narrator, "Donald in Mathmagic Land," Disney, 1959

… and it was Peter J. Cameron who discovered that
mathematics was full of pentagrams.

From Log24 on May 3:  Gray Space —

Robert J. Stewart (left) and a pentagram photo posted May 2
by Oslo artist Josefine Lyche. See also Lyche in this journal.

From Log24 on May 13:  An Artist's Memorial —

The death mentioned in the above May 13 post occurred on
May 12, the date of a scheduled Black Mass at Harvard.

Related material:

Monday, April 8, 2013

Magic for Jews

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

A commenter on Saturday's "Seize the Dia" has
suggested a look at the work of one Mark Collins.

Here is such a look (click to enlarge):

I find attempts to associate pure mathematics with the words
"magic" or "mystic" rather nauseating. (H. F. Baker's work
on Pascal's mystic hexagram  is no exception; Baker was
stuck with Pascal's obnoxious adjective, but had no truck
with any mystic aspects of the hexagram.)

The remarks above by Clifford Pickover on Collins, Dürer, and
binary representations may interest some non-mathematicians,
who should not  be encouraged to waste their time on this topic.

For the mathematics underlying the binary representation of
Dürer's square, see, for instance, my 1984 article "Binary
Coordinate Systems
."

Those without the background to understand that article
may enjoy, instead of Pickover's abortive attempts above at
mathematical vulgarization, his impressively awful 2009 novel
Jews in Hyperspace .

Pickover's 2002 book on magic squares was, unfortunately,
published by the formerly reputable Princeton University Press.

Related material from today's Daily Princetonian :

See also Nash + Princeton in this journal.

Thursday, December 6, 2012

Magic Square

Filed under: General — m759 @ 10:18 pm

This post was suggested by the December 4th death
of modernist composer Jonathan Harvey, 73,
and by Harvey's reflections on his 2007 opera
Wagner Dream .

For related reflections, see the Oct. 10 post on
the Dürer magic square in Mann's Doctor Faustus .

See also a December 2nd post on the Nov. 18 death of
chess grandmaster Elena Akhmilovskaya Donaldson.

IMAGE- Chess grandmaster and Dürer's angel with magic square
 

Thursday, July 28, 2011

Magical Realism Revisited

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

http://www.log24.com/log/pix11B/110728-RogerCohen-MagicalRealism.jpg

http://www.log24.com/log/pix11B/110727-ProtoZone-Quilters500w.jpg

http://www.log24.com/log/pix11B/110727-LICM-QuiltMaker500w.jpg

The magical part— Synchronicity—

See Roger Cohen in this journal on January 15, 2009 and, on the
same date, Jesse Jarnow on Bob Dylan in  The Jewish Daily Forward .

The realism part— Cohen's "smart power" and IQ tests involving pattern blocks.

The above quilt pattern software (both versions) is by Jarnow's father Al.
For a realistic approach to such patterns, see Blockheads in this journal.

Friday, July 15, 2011

The Magic of Numbers*

Filed under: General — Tags: — m759 @ 2:29 pm

NY Lottery this afternoon:

http://www.log24.com/log/pix11B/110715-NYlotteryMidday.jpg

See Post 757— "Release Date"— and The-Numbers.com
on a film with the release date 7/3/85.

* Title of a course at Harvard. See (for instance)
the Harvard page on The Numerology of the Beast

"Now in math the magic is not in special numbers
like 7 or 28, but in the fabric of number systems…."

Sure it is.

Thursday, June 23, 2011

Script Magic…

Filed under: General — m759 @ 3:33 am

In a Jewish Cathedral

From The New York Times Magazine  of Sunday, April 6, 1986—

"David Rayfiel's Script Magic" by Alex Ward

WHEN THE CALL came last year to revise ''The Morning After,'' Rayfiel was working on a screenplay about the 1911 Triangle Shirtwaist Company fire for Barbra Streisand and Jane Fonda. He has now resumed work— as the principal writer, not the reviser— on that script. But chances are good that he will have further interruptions. Pollack will probably call and say, as he usually does, ''David, I need access to your brain.'' And Rayfiel will probably say, as he usually does, ''That's O.K., I'm not using it.'' He will revise another script, and be reluctant about taking credit for it.

''I guess it's like the medieval stonecutters who worked on the cathedrals,'' he says. ''There's all that elaborate work. The saints were carved by one guy, the cherubs by someone else. They didn't care about getting credit, they knew what they'd done. I'm like that. I'm the guy who does the cherubs.''

Related material:

Proginoskes in this journal and Abracadabra from the midnight of June 18-19.

See also Rayfiel's obituary in today"s Times .

For some quite different work, also  from April 1986, see—

Oslo: Points and Hyperplanes.

Thursday, May 5, 2011

On Art and Magic

Filed under: General,Geometry — Tags: , — m759 @ 10:30 pm

Two Blocks Short of a Design:

A sequel to this morning’s post on Douglas Hofstadter

http://www.log24.com/log/pix11A/110505-ThemeAndVariations-Hofstadter.jpg

Photo of Hofstadter by Mike McGrath taken May 13, 2006

Related material — See Lyche’s  “Theme and Variations” in this journal
and Hofstadter’s “Variations on a Theme as the Essence of Imagination
Scientific American  October 1982

A quotation from a 1985 book by Hofstadter—

“… we need to entice people with the beauties of clarity, simplicity, precision,
elegance, balance, symmetry, and so on.

Those artistic qualities… are the things that I have tried to explore and even
to celebrate in Metamagical Themas .  (It is not for nothing that the word
‘magic’ appears inside the title!)”

The artistic qualities Hofstadter lists are best sought in mathematics, not in magic.

An example from Wikipedia —

http://www.log24.com/log/pix11A/110505-BlockDesignTheory.jpg

Mathematics

http://www.log24.com/log/pix11A/110505-WikipediaFanoPlane.jpg

The Fano plane block design

Magic

http://www.log24.com/log/pix11A/110505-DeathlyHallows.jpg

The Deathly Hallows  symbol—
Two blocks short of  a design.

Thursday, October 14, 2010

Diamond Theory and Magic Squares

Filed under: General,Geometry — Tags: , — m759 @ 6:19 pm

"A world of made
is not a world of born— pity poor flesh
and trees, poor stars and stones, but never this
fine specimen of hypermagical
ultraomnipotence."

— e. e. cummings, 1944

For one such specimen, see The Matrix of Abraham
a 5×5 square that is hypermagical… indeed, diabolical.

Related material on the algebra and geometry underlying some smaller structures
that have also, unfortunately, become associated with the word "magic"—

  1. Finite Geometry of the Square and Cube
  2. Clifford Pickover on a 4×4 square
  3. Christopher J. Henrich on the geometry of 4×4 magic squares
    (without any mention of  [1] above or related work dating back to 1976)

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

— e. e. cummings

Happy birthday, e. e.

Tuesday, April 23, 2024

Matchless

Filed under: General — Tags: — m759 @ 1:11 pm

Google search for 'affine transformations of a square array'

Perhaps it should.

Design from 1697

Design from 1514

"One of those bells that now
and then rings" — Song lyric

Sunday, March 31, 2024

Blue

Filed under: General — m759 @ 4:49 am

From this journal on October 15, 2023

"Can you make it any more complicated?"

Ocean's 13

One approach . . .

Saturday, March 23, 2024

Alpha Bets

Filed under: General — Tags: , — m759 @ 6:31 am

"So you wanna play with magic?" — Katy Perry

Wednesday, January 31, 2024

Family Values for Phil and Lily Collins

Filed under: General — Tags: — m759 @ 10:19 am

"Yes, you'll be goin' loco
  down in Acapulco,

  the magic down there
  is so strong."

This song is from the 1988 film "Buster."

(Wikipedia: "Buster  is a 1988 British
romantic crime comedy-drama
based on events from the Great Train Robbery,
starring Phil Collins….")

For a related religious use of that name —
"Look, Buster, do you want to live?" —
see Fritz Leiber's "Damnation Morning."

Yesterday, January 30, 2024, was Phil Collins's birthday.

Friday, January 26, 2024

For London Werewolves: Steppenwolf and the Moon Knights

Filed under: General — Tags: , — m759 @ 8:31 am

Thursday, December 28, 2023

Basque Country Art Book

Filed under: General — Tags: , , — m759 @ 6:20 pm

Book description at Amazon.com, translated by Google —

Las matemáticas como herramienta
de creación artística

Mathematics as a tool
for artistic creation

by Raúl Ibáñez Torres

Kindle edition in Spanish, 2023

Although the relationship between mathematics and art can be traced back to ancient times, mainly in geometric and technical aspects, it is with the arrival of the avant-garde and abstract art at the beginning of the 20th century that mathematics takes on greater and different relevance: as a source of inspiration and as a tool for artistic creation. Let us think, for example, of the importance of the fourth dimension for avant-garde movements or, starting with Kandisnky and later Max Bill and concrete art, the vindication of mathematical thinking in artistic creation. An idea that would have a fundamental influence on currents such as constructivism, minimalism, the fluxus movement, conceptual art, systematic art or optical art, among others. Following this approach, this book analyzes, through a variety of examples and activities, how mathematics is present in contemporary art as a creative tool. And it does so through five branches and the study of some of its mathematical topics: geometry (the Pythagorean theorem), topology (the Moebius strip), algebra (algebraic groups and matrices), combinatorics (permutations and combinations) and recreational mathematics (magic and Latin squares).

From the book ("Cullinane Diamond Theorem" heading and picture of
book's cover added) —

Publisher:Los Libros de La Catarata  (October 24, 2023)

Author: Raúl Ibáñez Torres, customarily known as Raúl Ibáñez

(Ibáñez does not mention Cullinane as the author of the above theorem
in his book (except indirectly, quoting Josefine Lyche), but he did credit
him fully in an earlier article, "The Truchet Tiles and the Diamond Puzzle"
(translation by Google).)

About Ibáñez (translated from Amazon.com by Google):

Mathematician, professor of Geometry at the University of the Basque Country
and scientific disseminator. He is part of the Chair of Scientific Culture of the
UPV/EHU and its blog Cuaderno de Cultura Cientifica. He has been a scriptwriter
and presenter of the program “Una de Mates” on the television program Órbita Laika.
He has collaborated since 2005 on the programs Graffiti and La mechanica del caracol
on Radio Euskadi. He has also been a collaborator and co-writer of the documentary
Hilos de tiempo (2020) about the artist Esther Ferrer. For 20 years he directed the
DivulgaMAT portal, Virtual Center for the Dissemination of Mathematics, and was a
member of the dissemination commission of the Royal Spanish Mathematical Society.
Author of several books, including The Secrets of Multiplication (2019) and
The Great Family of Numbers (2021), in the collection Miradas Matemáticas (Catarata).
He has received the V José María Savirón Prize for Scientific Dissemination
(national modality, 2010) and the COSCE Prize for the Dissemination of Science (2011).

Saturday, October 28, 2023

Reviews

Filed under: General — m759 @ 9:43 pm

Sunday, October 15, 2023

A Red Dot in Memory of Candida Royalle*

Filed under: General — Tags: , — m759 @ 1:46 am

For another version of the helpful
video-positioning tongue icon, see

https://marcelanowak.com/port/harmonious-resonance/ .

* See tonight's previous post.

Friday, September 29, 2023

36 Shades of Blue: Namespace Mastery and Subjection

Filed under: General — Tags: , , — m759 @ 7:09 pm

Tom McCarthy today on a new novel about von Neumann at Los Alamos:

"Beyond its mid-20th-century viewfinder, though, it quickly becomes clear that what The Maniac  is really trying to get a lock on is our current age of digital-informational mastery and subjection."

"Amid — or, more aptly, beneath — the panoply of brilliant men in The Maniac , women function as bit players. At Los Alamos they’re even called 'computers,' since they carry out the secondary, workaday calculations that are then fed upward for male geniuses to work their magic on. But does von Neumann really deserve the title 'Father of Computers,' granted him here by his first wife, Mariette Kovesi? Doesn’t Ada Lovelace have a prior claim as their mother?"

Wednesday, September 27, 2023

The Redford Dogma

Filed under: General — m759 @ 12:13 pm

Old Hollywood saying:

"Outside of a dog, a book is man's best friend.
Inside of a dog . . . ."

Friday, September 8, 2023

Life Coaches

Filed under: General — Tags: — m759 @ 8:33 am

Lilydale and Rain , by Like No. 90 (Rain is the one on the left) —

A perhaps more useful coach . . .

Some prose by Harrington —

By 1956, Fromm was dining at Suzuki’s part-time home in New York City, and talking with him about ways in which Zen could contribute to a wholesale reimagining of psychoanalytic therapeutics and theory (see Friedman and Schreiber 2013). By this time, also, Fromm was himself spending considerable periods of time at a new home in Cuernavaca, Mexico. At one point he suggested that Suzuki consider moving in with him permanently. When Suzuki politely declined, Fromm conceived instead a major conference based in Mexico that would try to take stock of the entire current state of the conversation between Zen and psychotherapy (see Friedman and Schreiber 2013). In 1957, some fifty psychotherapists—double the original expected number—participated in a week of presentations and discussions. Fromm later recalled the event as a magical time: what began as a traditional conference with the usual ‘over-emphasis on thoughts and words' changed over a few days, as people 'became more concentrated and more quiet.'

See as well a web page on what is now called "shadow work" —
an activity completely different  from the "shadow work" described 
some years ago by Ivan Illich, the so-called "Prophet of Cuernavaca."

Friday, August 25, 2023

Windows Programming

Filed under: General — m759 @ 1:46 am

From a 1949 Orson Welles film, "Black Magic" —

Sunday, July 16, 2023

D-Day Science Death

Filed under: General — Tags: , — m759 @ 12:44 am

New York Times  obituary yesterday reported the 
June 6 death, at 91, of a Harvard professor who dealt with
the relations between science and society —

“ 'Everett was one of a new generation of social historians
of science who insisted that it was not enough to pay attention
to the internal intellectual story of science,' Anne Harrington,
the Franklin L. Ford professor of the history of science at Harvard,
said by email. 'The field needed to attend also to how science was
shaped by and also helped shape the conditions of the social world.' ”

Consider as well Scarlett Johansson on Alan Watts in "Her" (2013)
and Harrington on intellectual history in Cuernavaca . . .

By 1956, Fromm was dining at Suzuki’s part-time home in New York City, and talking with him about ways in which Zen could contribute to a wholesale reimagining of psychoanalytic therapeutics and theory (see Friedman and Schreiber 2013). By this time, also, Fromm was himself spending considerable periods of time at a new home in Cuernavaca, Mexico. At one point he suggested that Suzuki consider moving in with him permanently. When Suzuki politely declined, Fromm conceived instead a major conference based in Mexico that would try to take stock of the entire current state of the conversation between Zen and psychotherapy (see Friedman and Schreiber 2013). In 1957, some fifty psychotherapists—double the original expected number—participated in a week of presentations and discussions. Fromm later recalled the event as a magical time: what began as a traditional conference with the usual ‘over-emphasis on thoughts and words' changed over a few days, as people 'became more concentrated and more quiet.'

A search in this  journal for D-Day related material yields
posts tagged "Shadow Hacking."

"Please wait as your operating system is initiated."

Monday, June 19, 2023

New Career Paths

Filed under: General — m759 @ 11:25 pm

"Experience the magic of Mexico." — Delta vacations ad.

See also Midnight in the Garden (March 15, 2011
and New Day Nina (September 22, 2011).

Wednesday, June 7, 2023

Exploring Color Space . . . Continues.

Filed under: General — Tags: , , , — m759 @ 4:10 pm

"Another story" —

See also Sontag's own  account of the Mann meeting.

Related material —

It would seem that Moser is deeply confused about  two different
meetings of Sontag with Mann — discussing Doctor Faustus 
in 1947, and, later, as a U. of Chicago student, discussing
The Magic Mountain  with Mann in 1949 on the Feast of the
Holy Innocents — coincidentally, also the date of her dies natalis
(in the Catholic sense) in 2004.

Monday, June 5, 2023

Vienna Requiem

Filed under: General — m759 @ 12:00 am

"You put the lime in the coconut . . ."

Truth, Beauty, and The Good

Art is magic delivered from
the lie of being truth.
 — Theodor Adorno, Minima moralia,
London, New Left Books, 1974, p. 222
(First published in German in 1951.)

The director, Carol Reed, makes…
 impeccable use of the beauty of black….
— V. B. Daniel on The Third Man 

I see your ironical smile.
— Hans Reichenbach 

Adorno, The Third Man, and Reichenbach
are illustrated below (l. to r.) above the names of
cities with which they are associated. 

 

Friday, June 2, 2023

Reichenbach’s Fell Swoop

Filed under: General — Tags: , — m759 @ 12:18 pm

See The Eightfold Cube  and . . .

Truth, Beauty, and The Good

Art is magic delivered from
the lie of being truth.
 — Theodor Adorno, Minima moralia,
London, New Left Books, 1974, p. 222
(First published in German in 1951.)

The director, Carol Reed, makes…
 impeccable use of the beauty of black….
— V. B. Daniel on The Third Man 

I see your ironical smile.
— Hans Reichenbach 

Adorno, The Third Man, and Reichenbach
are illustrated below (l. to r.) above the names of
cities with which they are associated. 

 

Wednesday, May 31, 2023

May’s End

Filed under: General — m759 @ 9:51 am

https://www.gutenberg.org/files/23162/23162-h/23162-h.htm

Tuesday, May 30, 2023

The Tour

Filed under: General — Tags: , — m759 @ 11:36 am

In memory of a co-founder of Hollywood's "Magic Castle"
who reportedly died at 92 on Sunday . . .

From posts that were tagged "Blake Tour" on Sunday

Sunday, May 21, 2023

Ingathering

Filed under: General — Tags: , — m759 @ 10:32 am

The reference to "Magic: The Gathering" in the previous post
suggests a review of "gathering" tales that I personally prefer —

Putting the “Art” in “Artificial”

Filed under: General — Tags: — m759 @ 9:57 am

"So far, AIs produce abstract, almost surreal ideas, that
may lead you somewhere but have no consistent purpose."

— Greg Rutkowski, quoted on May 8, 2023, as below:

Source Code —

<title>What can be done to stop generative AI art? | Creative Bloq</title>

<meta name="pub_date" content="2023-05-08T07:30:27+00:00">

<meta name="description" content="These professional artists are
fighting back against generative AI art.">

<link rel="canonical" href="https://www.creativebloq.com/features/
what-can-stop-generative-ai-art">

What if the AIs are named Tara Hernandez and Damon Lindelof?

Yesterday's "Electric Avenue" post suggests an image by Rutkowski
from "Magic: The Gathering" . . .

Wednesday, May 3, 2023

Art Lesson for Doktor Faustus

Filed under: General — Tags: , , — m759 @ 9:16 pm

Exercise Show that Dürer's 1514 "magic" square is an affine automorphism.

For a solution, see other posts now tagged Affine Squares.

Tuesday, April 25, 2023

Bedknobs and Broomsticks

Filed under: General — Tags: — m759 @ 12:27 pm

Wikipedia

"Bedknobs and Broomsticks  is a 1971 American musical fantasy film 
directed by Robert Stevenson and produced by Bill Walsh for 
Walt Disney Productions. It is loosely based upon the books 
The Magic Bedknob; or, How to Become a Witch in Ten Easy Lessons 
(1944) and Bonfires and Broomsticks  (1947) by English children's author 
Mary Norton." 

Glow with the Flow 

Friday, April 14, 2023

Eureka!

Filed under: General — Tags: — m759 @ 11:08 am

Max Bialystock discovers a new playwright

"Magic in every sense of the word!"
 — Variety, April 13 review

Sunday, January 22, 2023

“Preform an affine transformation”

Filed under: General — Tags: , — m759 @ 4:42 pm

"Before time began, there was the Cube." — Transformers  (2007)

Related literature:

Saturday, January 21, 2023

Dead-Poet Witcraft

Filed under: General — Tags: , , — m759 @ 2:40 pm

"Death is the mother of beauty." — Wallace Stevens

From the 2020 Feast of St. Wallace Stevens,
who reportedly died in 1955 on August 2 —

Related material —

Durer magic square as an affine transformation

Exercise Can each  order-4 magic square be obtained by some
transformation like the one above (i.e., preserving affine hyperplanes)?
If not, why not?

Update of 31 Jan. 2023 — Spoiler Remarks by Tilman Piesk.

Sunday, January 15, 2023

A Date for Thing

Filed under: General — Tags: , , — m759 @ 1:11 am

This  journal on the above date — March 16, 2022 —

Cover design by Will Staehle.

Monday, November 7, 2022

Prescott Street Revisited: The Boys in the Kitchen

Filed under: General — Tags: , — m759 @ 3:57 pm

Or:  MDT-48 Meets COMP360.

‘It doesn’t have a street-name and that’s because, as yet,
it doesn’t have any street profile – which is incidentally
the way we want it to stay. The boys in the kitchen are
keeping it low-key and anonymous. They’re calling it MDT-48.’

The boys in the kitchen?

— Glynn, Alan. Limitless: A Novel  (p. 40).
     Picador. Kindle Edition.
     (Originally published by Little, Brown
     in Great Britain in 2001 as The Dark Fields .) 

From Log24 on Nov. 29, 2020

IMAGE- Cover image for a free mixtape, 'Lawrence Class - The Diamond Theory,' that contains images from Steven H. Cullinane's 'Diamond Theory.'

CNN story from All Souls' Day 2022

“This drug can be extracted from magic mushrooms,
but that is not the way our compound is generated.
It’s synthesized in a purely chemical process
to produce a crystalline form,” said Goodwin, who is
the chief medical officer of COMPASS Pathways,
the company that manufactures COMP360 and
conducted the study."

See as well "To Think That It Happened on Prescott Street"
and related posts.

Tuesday, November 1, 2022

Play

Filed under: General — m759 @ 1:39 pm

See as well this  journal on the above date — Broomsday 2014.

Friday, October 7, 2022

Raiders of the Lost Spell

Filed under: General — Tags: — m759 @ 5:18 pm

Saturday, September 10, 2022

Solomon’s Mental Health Month

Filed under: General — Tags: , , — m759 @ 12:21 pm

May 2003 was "Solomon's Mental Health Month" in this journal.

An essay linked to on the 9th of May in that month —

"Taking the Veil," by Jessica Kardon

https://web.archive.org/web/20021102182519/
http://www.thespleen.com/otherorgans/otherorgans/
index.php?artID=724

James Hillman, writing in The Soul's Code, argues for his "acorn theory" of human individual identity, and suggests that "each person bears a uniqueness that asks to be lived and that is already present before it can be lived." He insists we are born with a given character, a daimon, the carrier of destiny. This theory is closely linked to the beautiful myth described by Plato in his Republic, when the soul stands before Lachesis and receives his specific soul guardian. Hillman maintains that the daimon will always emerge somehow, even if thwarted or unrecognized.

I never had ambitions that reached fruition in the adult world. I have had only two career interests in my life – both formed precognitively. I wanted to be a mermaid or a nun. By the time I learned – shockingly late – that I could not be a mermaid, I had realized I would not be a nun. I concur with Hillman's emphasis on the persistence of early disposition, and I like to imagine that my dreamy, watery, Victorian and self-righteous psyche has held aspects of both of these early interests, throughout my life.

I was adopted one month after my birth. I was tended by nuns during the first four weeks of my life. Thereafter, I spent my whole educational life in convent schools. It was the sisters of Saint Vincent de Paul that gave me my favorite musical and my early distortions about romantic love and the gender plans of Our Lord. My misconceptions about love and marriage were culled from the Lerner Loewe musical Gigi, a wonderful film based loosely on a Colette novel. I was summoned along with my whole class to the gymnasium to view the movie under the edgy eye of Sister Bernadette.

Sister Bernadette was a large, mesomorphic nun famed for the beatings she gave to boys and girls alike, and feared for the mean zest with which she bestowed her favors upon many of us. I was not beaten – but once, believing I was wearing lipstick, she held my head in a sink and scrubbed my lips until they bled, then slapped me. I recall this with a mild, rueful whimsy. We were all manhandled. In memory, Bernadette seems more like an angry and troubled older sibling than a true figure of authority.

Anyway, I loved Gigi. It fed directly into my Francophilia. I was convinced that at some future date, I, like Gigi, would be trained as a courtesan. I, too, would cause some hard case, experienced roué to abandon his chill and irony. I saw myself strolling down the Champs Elysee with Louis Jordan in rapt attendance, pushing a baby carriage, wearing a hat the size of a manhole cover, hoisting a parasol above that to assure the longevity of my adorable pallor.

The gender plans of Our Lord had recently been revealed to me too. Sister B. had drawn a ladder on the blackboard, a ladder with three rungs. At the top, she explained, were the priests, the nuns, and the monks. These souls had surrendered their lives to God. All would be taken directly to heaven upon their passing from this vale of tears, as we all referred to the world in those lean emotional times. On the middle rung stood the married. If you married and kept the law – which meant leaving every act of marital congress open to the reception of a child, you would be eligible for heaven. If you were foul in marriage, seeking your pleasure, you were going to be damned. On the bottom rung were those selfish souls who had remained single and had imagined their lives their own. This group had never given themselves to Our Lord. They were headed to hell in a sort of preternatural laundry chute.

So we little ladies had two viable options: marry and breed without ceasing – or take the veil.

Despite my hat and perambulator fantasies, once given the sorry news of the ladder, the veil became the clear romantic favorite. Therefore I began my research. I obtained a catalogue of nunnery. It offered photographs of each order, describing the duties of the specific order, and displaying the garb of that order. I was looking for two things – a great looking veil and gown, and a contemplative order. I had no desire to sully my glorious vision of myself with a life in the outer world. It was apparent to me that the teaching of children was going to involve a whole range of miseries – making them cry, telling them the bad news about the ladder, and so forth. This was not for me. I saw myself kneeling on the floor of my pristine little cell, serene and untouched by human hands. Teaching would be certain to interfere with the proper lighting. Yoked to a bunch of messy children, I could not possibly have the opalescent illumination of heaven falling reliably on my upturned visage.

What divided me from my dream of rebirth as a mermaid was the force of what was real: I could not morph. What divided me from my dream of life as a nun was the force of the erotic: I would not abstain.

Now, long years later, I am still underwater, and I am still bending the knee. I live in the blue shadows of hidden grottoes, and I am swimming, too, in the gold of my drifting prayers.

September 7th, this dream. I am standing in a dimly lit room, gazing at a group of heavy, antique silk burqas that look weirdly like Fortuny gowns. A holy woman approaches me, and tells me that my soul will leave my body, and enter these garments. She turns and points at a young girl standing nearby, a child with close-cropped hair and a solemn look. My heart knows her, but my eyes don't.

For a moment I am thinking, exactly as I did in the seventies when holding a joint: "This isn't working." Suddenly, these things: I feel the shape of flame, then I am the shape. I am released into the air, and as pure essence I enter other forms, dissolving in them, gathering my energy back into myself, and flying out again. This was a sensation so exquisite that my dreaming brain woke up and announced to me: "This is a dream about death."

I saw that child again as I flew. This time my eyes knew her. I flew to her, but the flame of my soul would not cohere with hers, this child who was, of course, my own self.

In the shadows alone, I heard myself whisper: "I'm in the wind. I'm in the water."

This lovely dream, which gave me the sublime gift of a little visceral preview of the soul in the death process, also showed me my guardian spirit; divided, but viable.

I pass through my life swimming in one self, kneeling in the other. I thought of Rilke's 29th Sonnet to Orpheus and realized this was what I had been dreaming about all my life, moving between them.

Silent friend of many distances, feel
how your breath enlarges all of space.
Let your presence ring out like a bell
into the night. What feeds upon your face

grows mighty from the nourishment thus offered.
Move through transformation, out and in.
What is the deepest loss that you have suffered?
If drinking is bitter, change yourself to wine.

In this immeasurable darkness, be the power
that rounds your senses in their magic ring,
the sense of their mysterious encounter.

And if the earthly no longer knows your name,
whisper to the silent earth: I'm flowing.
To the flashing water say: I am.

– Stephen Mitchell, translating Rainer Marie Rilke.

by jessica kardon
iowa city, iowa
2002-09-23

See as well yesterday's post "At a Still Point."

Orthogonal Latin Triangles

Filed under: General — Tags: , — m759 @ 1:38 am

From a 1964 recreational-mathematics essay —

Note that the first two triangle-dissections above are analogous to
mutually orthogonal Latin squares . This implies a connection to
affine transformations within Galois geometry. See triangle graphics
in this  journal.

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu 

Update of 4:40 AM ET —

Other mystical figures —

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

"Before time began, there was the Cube."

— Optimus Prime in "Transformers" (Paramount, 2007)

Monday, August 1, 2022

Enowning

Filed under: General — Tags: — m759 @ 3:26 pm

Related material — The Eightfold Cube.

See also . . .

"… Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to 
explain how art fits into our subject and what we mean by beauty."

— Sir Michael Atiyah, “The Art of Mathematics”
in the AMS Notices , January 2010

Sunday, July 24, 2022

The Manifestation Manifesto

Filed under: General — Tags: , , — m759 @ 4:58 pm

Some may prefer their own, less collective, manifestations.

Magic Mikes Continues:

"I get no kick from champagne…." — Cole Porter

But . . .

See too another item with the BRC "Waking Dreams" date —

The editor/author in that  Oct. 14, 2021, post is Russ Kick.

Monday, June 27, 2022

The Plotlines

Filed under: General — Tags: , , , — m759 @ 11:55 am

"Westworld Season 4 begins at Hoover Dam, with William
looking to buy the famous landmark. What does he consider
to be 'stolen' data that is inside?" 

For further details, see Log24 on May 16,
Sketch for a Magic Triangle.

Wednesday, June 22, 2022

Occupy Space  Continues.

Filed under: General — Tags: — m759 @ 8:33 am

Alternate Title —

Types of Ambiguity:
The Circle in the Triangle,
the Singer in the Song.

From an excellent June 17 Wall Street Journal  review of a new
Isaac Bashevis Singer book from Princeton University Press

" 'Old Truths and New Clichés,' a collection of 19
prose articles, most appearing in English for the
first time, reveals that Singer was as consummate
an essayist as he was a teller of tales." — Benjamin Balint 

From a search in this  journal for Singer

Related material —

From a post of June 2, "Self-Enclosing" —

"… the self-enclosing processes by which late 20th-century
American academics established and secured their status
(you painfully develop a thesis in competition with your peers,
then you keep on elaborating it until you die)."

— Colin Burrow in the June 9, 2022 issue 
of London Review of Books

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu 

From the December 14, 2021, post Notes on Lines —

Triangle (percussion instrument)

The triangle, a percussion instrument that was
featured prominently in the Tom Stoppard play
"Every Good Boy Deserves Favour."

Tuesday, June 14, 2022

A Triangle of Sadness

Filed under: General — Tags: — m759 @ 7:58 am

 The title refers to this year's
 Cannes Film Festival winner.

Houghton, Mifflin, Harcourt, and Yehoshua

Related material:

From a post of June 2, "Self-Enclosing" —

"… the self-enclosing processes by which late 20th-century
American academics established and secured their status
(you painfully develop a thesis in competition with your peers,
then you keep on elaborating it until you die)."

— Colin Burrow in the June 9, 2022 issue 
of London Review of Books

From a post of June 13, "The Theater Game" —

From a post of June 12, "Triangle.graphics, 2012-2022" —

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu 

Der Einsatz . . . Continues.

Filed under: General — m759 @ 6:39 am

Ice 9 film

Katherine Neville, author of The Eight

"Nine is a very powerful Nordic number."

in The Magic Circle , Ballantine paperback, 1999, p. 339.

Sunday, June 12, 2022

Triangle.graphics, 2012-2022

Filed under: General — Tags: , , — m759 @ 2:13 am

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu

Monday, June 6, 2022

Screenwriters on LA

Filed under: General — Tags: — m759 @ 9:22 am

"Living in Los Angeles is living in the cradle of the industry I fantasized about being a part of since my father gifted me his Sears Super-8 movie camera when I was seven years old. Hollywood is a city but it is also a mythology. A magical fantasy. A living dream. And yes, a dream is a mere sigh away from becoming a nightmare. Many tears have been shed around this town. They’ve been watering the soil for generations, adding more lush green to this transient desert mirage. As Nathanael West wrote in his ode to those on the fringes of Hollywood in his 1939 novel, The Day of the Locust , ‘Only those who still have hope can benefit from tears.' "

— Adam Rifkin, quoted on Jan. 25, 2022

See related remarks from a different author in a Log24 search
for a John O'Hara title, "Hope of Heaven."

Saturday, June 4, 2022

Old Dog, New Trick

Filed under: General — Tags: — m759 @ 3:04 am

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu

Sunday, May 29, 2022

Lost in Deep Space Translation

Filed under: General — Tags: — m759 @ 6:01 am

"Black art"  "Black magic"

https://www.latimes.com/obituaries/story/2022-05-28/
samella-lewis-godmother-of-black-art-dies-at-99

Keasha Dumas Heath, executive director at
the Museum of African American Art,
the L.A. institution Lewis helped found,
describes Lewis as a “soft-spoken powerhouse”
who is “rightly regarded as the center of the universe
for scholarship around Black art and artists.”

https://newsme24.com/world-news/
samella-lewis-godmother-of-black-magic-
that-aided-maintain-its-background-passes-away-at-99/

Keasha Dumas Health, executive supervisor at
the Gallery of African American Art,
the L.A. organization Lewis aided discovered,
explains Lewis as a “soft-spoken giant”
that is “appropriately considered the facility of deep space
for scholarship around Black magic as well as musicians.”

Consider the source.

Thursday, May 26, 2022

Mystical Mathematicks

Filed under: General — Tags: , , — m759 @ 10:17 am

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu

Tuesday, May 24, 2022

Playing the Palace

Filed under: General — m759 @ 9:54 am

From a Jamestown (NY) Post-Journal  article yesterday on
"the sold-out 10,000 Maniacs 40th anniversary concert at
The Reg Lenna Center Saturday" —

" 'The theater has a special place in our hearts. It’s played
a big part in my life,' Gustafson said.

Before being known as The Reg Lenna Center for The Arts,
it was formerly known as The Palace Theater. He recalled
watching movies there as a child…."

This, and the band's name, suggest some memories perhaps
better suited to the cinematic philosophy behind "Plan 9 from
Outer Space."

IMAGE- The Tablet of Ahkmenrah, from 'Night at the Museum'

 "With the Tablet of Ahkmenrah and the Cube of Rubik,
my power will know no bounds!"
— Kahmunrah in a novelization of Night at the Museum:
Battle of the Smithsonian , Barron's Educational Series

The above 3×3 Tablet of Ahkmenrah  image comes from
a Log24 search for the finite (i.e., Galois) field GF(3) that 
was, in turn, suggested by last night's post "Making Space."

See as well a mysterious document from a website in Slovenia
that mentions a 3×3 array "relating to nine halls of a mythical
palace where rites were performed in the 1st century AD" —

Sunday, May 22, 2022

Social Physics

Filed under: General — Tags: — m759 @ 2:42 pm

From The Washington Post  yesterday

"Ben Roy Mottelson, an American-born physicist who shared the Nobel Prize for a groundbreaking explanation of the structure and behavior of the atomic nucleus, including its shape, its rotations and its oscillations, died May 13. He was 95. . . . .

Knowledge of nuclear structure is regarded as vital in weapons research, power generation and in solving the problems of astrophysics and the history of the universe.

In what is still regarded as one of the crowning achievements of nuclear physics, Dr. Mottelson helped show, using arguments and techniques from quantum theory, how each individual constituent of the nucleus — each proton and each neutron — exerted an effect on the properties and character of the nucleus as a whole. And vice versa." . . . . 

—  By Martin Weil, May 21, 2022, at 4:04 p.m. EDT

From this  journal on Friday the 13th of May —

"In magic, the will unites with the intellect in an
impassioned desire for supersensible knowledge.
This is the intellectual, aggressive, and scientific
temperament trying to extend its field of consciousness
[…] (Underhill 84; see also 178ff.)"

The reference above is to Underhill, Evelyn:
Mysticism: A Study in the Nature and Development
of Man’s Spiritual Consciousness
.
New York: Dutton, 1911.

Wednesday, May 18, 2022

“The form, the pattern”

Filed under: General — Tags: , , — m759 @ 7:26 pm

An image from Slovenia missed earlier* in the search above —

"Et cetera, et cetera, et cetera." — Oscar Hammerstein

* See "Robin Wilson" in the Design Grammar post of
19 Oct. 2017. The author of the above document may
or may not be the Robin Wilson of Gresham College.

Friday, May 13, 2022

“Program or Be Programmed” continues . . .

Filed under: General — Tags: — m759 @ 12:56 am

Byron Gogol's "Dutton" remark suggests a search for that term
in this journal.  That search, and tonight's previous post, suggest
a passage on magic and mysticism published by Dutton in 1911 —

"The fundamental difference between the two is this:
magic wants to get, mysticism wants to give […]
In mysticism the will is united with the emotions in
an impassioned desire to transcend the sense-world
in order that the self may be joined by love to
the one eternal and ultimate Object of love […]
In magic, the will unites with the intellect in an
impassioned desire for supersensible knowledge.
This is the intellectual, aggressive, and scientific
temperament trying to extend its field of consciousness
[…] (Underhill 84; see also 178ff.)"

The reference above is to Underhill, Evelyn:
Mysticism: A Study in the Nature and Development
of Man’s Spiritual Consciousness
.
New York: Dutton, 1911.

Monday, May 9, 2022

An Old Amazon Tale

Filed under: General — Tags: — m759 @ 9:28 pm

From The DIadem of Death (May 29, 2008) —

Wonder Woman and the Secret of the Magic Tiara

Wonder Woman and the Secret of the Magic Tiara-- The End

Wednesday, April 27, 2022

Ennead  (Pace Moon Knight)

Filed under: General — Tags: , , — m759 @ 1:33 pm

Putting the graphic  in lexicographic

'The 3x3 Magic Square as an Affine Transformation'

Monday, April 18, 2022

For the Church of Perfect Coordinates*

Filed under: General — Tags: — m759 @ 1:22 pm

https://blacklistdeclassified.net/2022/04/15/
%f0%9f%94%b4-script-916-helen-maghi/
 —

Red: If I may offer some counsel –
Do not go where the path may lead.
Go instead where there is no path
and leave a trail.” 
In the spirit of that, I bring an unusual case….

This post is in honor of Thandiwe Newton,
who left a Westworld trail —

Vide  Bulk Apperception.

* Cf.  a post from Day 3 of 2022.

Sunday, April 10, 2022

Plan 9 Continues . . .

Filed under: General — Tags: , , — m759 @ 10:26 pm

A meditation on Coxeter's Aleph

'The 3x3 Magic Square as an Affine Transformation'

Wednesday, March 30, 2022

Games

Filed under: General — Tags: , , — m759 @ 7:28 am

Click to enlarge.

Related reading — George Steiner's Fields of Force , on chess in Iceland, and . . .

The New Yorker , article by Sam Knight dated March 28, 2022 —

They went to Björk’s house. She cooked salmon.
She had seen “The Witch” and introduced Eggers
to Sjón, who had written a novel about seventeenth-
century witchcraft in Iceland. When he got home,
Eggers read Sjón’s books. “I was, like, this guy’s
a fucking magician,” Eggers said. “He sees all time,
in time, out of time.” 

Wednesday, March 23, 2022

Watchmen Squid Game: Pronoun Trouble

Filed under: General — Tags: — m759 @ 8:05 am

"… Wade’s entire life is built around the squid attack. In the episode’s opening, we see that 34 years ago, young Wade was at a carnival in Hoboken, New Jersey, proselytizing as a Jehovah’s Witness when the squid emitted a psychic blast that killed three million people in the New York area. Just before the attack, a girl led him into a house of mirrors, feigning interest in hooking up with him in order to steal his clothes, leaving him naked and humiliated in the fairground attraction. But the cruel prank also saved his life, as mirrors can apparently repel the squid's psychic blast."

Related literary remarks —

"It may have been by chance, and it may have had the side effect of being easy to read, but this way of putting a novel together offered a bridge between the miniaturist in Doerr and the seeker of world-spanning connections. He could focus on the details of every piece in the narrative, but there was pleasure, too, in placing them against each other. Sometimes he would lay out all these micro chapters on the floor so he could see them and discover the resonances between characters across space and time.

'That’s the real joy,' Doerr said, 'the visceral pleasure that comes from taking these stories, these lives, and intersecting them, braiding them.'"

— "A version of this article appears in print on Sept. 20, 2021, Section C, Page 4 of the New York edition with the headline: Bringing His Readers To Higher Ground." 

Friday, March 18, 2022

Architectural Review

Filed under: General — Tags: — m759 @ 12:30 pm
 

"Poincaré said that science is no more a collection of facts than a house is a collection of bricks. The facts have to be ordered or structured, they have to fit a theory, a construct (often mathematical) in the human mind.

… Mathematics may be art, but to the general public it is a black art, more akin to magic and mystery. This presents a constant challenge to the mathematical community: to explain how art fits into our subject and what we mean by beauty.

In attempting to bridge this divide I have always found that architecture is the best of the arts to compare with mathematics. The analogy between the two subjects is not hard to describe and enables abstract ideas to be exemplified by bricks and mortar, in the spirit of the Poincaré quotation I used earlier."

— Sir Michael Atiyah, "The Art of Mathematics"
     in the AMS Notices , January 2010

Gottschalk Review —

W. H. Gottschalk and G. A. Hedlund, Topological Dynamics,
reviewed by Paul R. Halmos in Bulletin of the American Mathematical Society  61(6): 584-588 (November 1955).

The ending of the review —

The most striking virtue of the book is its organization. The authors' effort to arrange the exposition in an efficient order, and to group the results together around a few central topics, was completely successful; they deserve to be congratulated on a spectacular piece of workmanship. The results are stated at the level of greatest available generality, and the proofs are short and neat; there is no unnecessary verbiage. The authors have, also, a real flair for the "right" generalization; their definitions of periodicity and almost periodicity, for instance, are very elegant and even shed some light on the classical concepts of the same name. The same is true of their definition of a syndetic set, which specializes, in case the group is the real line, to Bohr's concept of a relatively dense set.

The chief fault of the book is its style. The presentation is in the brutal Landau manner, definition, theorem, proof, and remark following each other in relentless succession. The omission of unnecessary verbiage is carried to the extent that no motivation is given for the concepts and the theorems, and there is a paucity of illuminating examples. The striving for generality (which, for instance, has caused the authors to treat uniform spaces instead of metric spaces whenever possible) does not make for easy reading. The same is true of the striving for brevity; the shortest proof of a theorem is not always the most perspicuous one. There are too many definitions, especially in the first third of the book; the reader must at all times keep at his finger tips a disconcerting array of technical terminology. The learning of this terminology is made harder by the authors' frequent use of multiple statements, such as: "The term {asymptotic } {doubly asymptotic } means negatively {or} {and} positively asymptotic."

Conclusion: the book is a mine of information, but you sure have to dig for it.  — PAUL R. HALMOS

Wednesday, March 16, 2022

For Harlan Kane: The Gottschalk Gestalt

Filed under: General — Tags: — m759 @ 6:27 pm

Fiction —

Non-fiction —

See too . . .

and . . .

Cover design by Will Staehle.

Sunday, March 13, 2022

Black Art

Filed under: General — m759 @ 6:26 pm

"… Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery."

— Sir Michael Atiyah, quoted here on April 4, 2016.

 

Sunday, March 6, 2022

Overarching Symmetries

Filed under: General — Tags: , — m759 @ 1:47 pm

By the Daniel J. Peterson whose Swarthmore honors thesis was quoted
here last night

"What, then, is the relationship between theory-relative symmetries 
(physical symmetries) and theory-independent symmetries 
(overarching symmetries)? My statement of this problem is
a bit abstract, so let’s look at an example: classical Newtonian gravity
and classical electromagnetism . . . ."

— Prospects for a New Account of Time Reversal
by Daniel J. Peterson, Ph.D. dissertation, U. Mich., 2013, p. 16.

Another 2013 approach to the word "overarching" and sytmmetries —

Other terms of interest:  TenetNolanism , and Magic for Liars .

Wednesday, February 23, 2022

The Punchline

Filed under: General — Tags: — m759 @ 11:59 pm

Maybe Nicolas Cage knows the punchline.

Monday, February 7, 2022

Science News

Filed under: General — Tags: , , — m759 @ 3:06 pm

See the above science adviser in this  journal —

"Non-Chaos Non-Magic," Feb. 26, 2021.

Saturday, January 29, 2022

The Time of the Season

Filed under: General — Tags: — m759 @ 1:14 pm

"Tell it to me slowly" — Song lyric

<time datetime="2022-01-28T23:38:40.498Z">

Annie Rauwerda yesterday —

"It's an exciting time for magical fruit."

Monday, January 17, 2022

Finest Trick

Filed under: General — m759 @ 11:15 pm

"The Magician’s finest trick was to
dismantle the pretensions of genius
while preserving his own lofty stature." 

Alex Ross in The New Yorker , Jan. 17, 2022

Related material —

Meanwhile . . .

Wednesday, December 29, 2021

The Thing

Filed under: General — Tags: — m759 @ 1:22 pm

Related cultural remarks — Magic for Liars.

Tuesday, December 28, 2021

The Redgrave Pill

Filed under: General — m759 @ 4:33 am

"Redgrave proceeded to focus on the end of Blue Nights ,
and Didion’s determination to maintain momentum after
the death of Quintana, when she and Redgrave mounted
their production of The Year of Magical Thinking . Here,
St John the Divine became a setting in the narrative of
Blue Nights  yet again – this time, as Quintana’s final resting
place in St Ansgar’s Chapel within the cathedral."

The feast of St. Ansgar is Feb. 3. See that date this year.

Related song lyric from "Finian's Rainbow" —

Necessity,
That's the maximum that a minimum thing could be,
There's nothing lower than less unless it's Necessity.

Tuesday, December 21, 2021

Grid Language, Grid Logic

Filed under: General — m759 @ 12:00 am

Grid Language —

Anna Schechtman on the grid and crossword puzzles

Grid Logic —

Tesseract  in this journal and "The Unmagicking."

Rosalind Krauss and Grid

Tuesday, December 7, 2021

Tortoise Variations

Filed under: General — Tags: , — m759 @ 2:42 am

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

Fanciful version —

Less fanciful versions . . . 

Unmagic Squares

Consecutive positive integers:

1   2   3
4   5   6
7   8   9

Consecutive nonnegative integers:

0   1   2
3   4   5
6   7   8

Consecutive nonnegative integers
written in base 3:

00  01  02
10  11  12
20  21  22

This last square may be viewed as
coordinates, in the 3-element Galois
field GF(3), of the ninefold square.

Note that the ninefold square so viewed
embodies the 12 lines of the two-dimensional
affine space over GF(3)

As does, similarly, the ancient Chinese
"magic" square known as the "Lo Shu."

These squares are therefore equivalent under
affine transformations.

This method generalizes.

— Steven H. Cullinane, Nov. 20, 2021

 

The Lo Shu as a Finite Space

Thursday, November 18, 2021

The Cruelest Month, 1976 Version

Filed under: General — Tags: — m759 @ 2:35 am

A favorite rabbit hole —

"She looked at my palm and she made a magic sign,
She said 'What you need is Love Potion #9.' "

Friday, September 10, 2021

Deep in the Diamond

Filed under: General — m759 @ 9:54 pm

Edwin MuirMerlin

O Merlin in your crystal cave
Deep in the diamond of the day,
Will there ever be a singer
Whose music will smooth away
The furrow drawn by Adam's finger
Across the memory and the wave?
Or a runner who'll outrun
Man's long shadow driving on,
Break through the gate of memory
And hang the apple on the tree?

Will your magic ever show
The sleeping bride shut in her bower,
The day wreathed in its mound of snow
and Time locked in his tower?

Saturday, August 21, 2021

Comment

Filed under: General — m759 @ 10:05 am

A Bon Jovi "Stripped" video released May 1, 2007 —

Synchronology check —

This  journal in the early morning of the above release date —

http://www.dict.cc/?s=Einsatz:

to put one's back
into something
bei etwas
Einsatz zeigen
to up the ante den Einsatz erhöhen
to debrief den Einsatz
nachher besprechen
to be on duty im Einsatz sein
mil. to be in action im Einsatz sein
to play for
high stakes
mit hohem
Einsatz spielen

"Nine is a very
powerful Nordic number
."
— Katherine Neville,
The Magic Circle

Happy Walpurgisnacht.

Tuesday, August 10, 2021

Ex Fano Apollinis

Filed under: General — Tags: , , , , — m759 @ 9:41 am
 

Margaret Atwood on Lewis Hyde's 
Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.


"As a Chinese jar . . . ."
     — Four Quartets

 

Rosalind Krauss
in "Grids," 1979:

"If we open any tract– Plastic Art and Pure Plastic Art  or The Non-Objective World , for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter.  They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.

Or, to take a more up-to-date example…."

"He was looking at the nine engravings and at the circle,
checking strange correspondences between them."
– The Club Dumas , 1993

"And it's whispered that soon if we all call the tune
Then the piper will lead us to reason."
– Robert Plant, 1971

The nine engravings of The Club Dumas
(filmed as "The Ninth Gate") are perhaps more
an example of the concrete than of the universal.

An example of the universal— or, according to Krauss,
a "staircase" to the universal— is the ninefold square:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo,
  the field of Reason…."
– John Outram, architect    

The "Katz" of the August 7 post Art Angles
is a product of Princeton's
Department of Art and Archaeology.

 

ART —

 

The Lo Shu as a Finite Space
 

ARCHAEOLOGY —

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

IMAGE- The 3x3 ('ninefold') square as Chinese 'Holy Field'

"This pattern is a square divided into nine equal parts.
It has been called the 'Holy Field' division and
was used throughout Chinese history for many
different purposes, most of which were connected
with things religious, political, or philosophical."

– The Magic Square: Cities in Ancient China,
by Alfred Schinz, Edition Axel Menges, 1996, p. 71

Saturday, July 3, 2021

Here, There, and Chicago

Filed under: General — Tags: , — m759 @ 9:07 pm

The above phrase "the intersection of storytelling and visual arts"
suggests a review . . .

Storytelling —

Visual arts —

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

IMAGE- The 3x3 ('ninefold') square as Chinese 'Holy Field'

"This pattern is a square divided into nine equal parts.
It has been called the 'Holy Field' division and
was used throughout Chinese history for many
different purposes, most of which were connected
with things religious, political, or philosophical."

– The Magic Square: Cities in Ancient China,
by Alfred Schinz, Edition Axel Menges, 1996, p. 71

A Midrash for Michener —

IMAGE- Marie-Louise von Franz on the 'field' that represents 'the structural outlines of the collective unconscious'

For a connection of the above "Holy Field"
with pure mathematics, see Coxeter's Aleph.

Tuesday, February 9, 2021

On Location

Filed under: General — Tags: , — m759 @ 11:02 pm

Above: a 1965 film.

A setting for Daisy Clover:
Room 15 at the Grope ’n’ Feel Motel —

Five miles north of Big Snake

Above: a 1970 novel.

Above: a 1991 film.

Thursday, January 7, 2021

The Primes of Miss Jean Valentine

Filed under: General — m759 @ 5:24 pm

Valentine reportedly died on December 29, 2020.

Related dialogue from “The Mirror Has Two Faces” (1996) —

– It’s interesting how coupling appears in nature and mathematics.

– You were talking about pairs …

– Oh, the twin-prime conjecture. It explores pairs of prime numbers.
Those only divisible by themselves. Three-five. Five-seven.
Not seven-nine …

– Nine can be divided by three.

– That’s right.  And … and so on.  It was discovered that pairs were
often separated by …

– One number in between.

– Exactly. Did you read my book?

– No, I’m sorry.

– That’s okay. This is marvellous.

– A first date like a game show.

– I didn’t mean to lecture.

– I’m sorry, I didn’t mean to call it a date.

Twin-Prime Dates —

December 31  and December 29, 2020.

“Though the Witch knew the Deep Magic, there is a magic deeper still
which she did not know.  Her knowledge goes back only to the dawn
of time.  But if she could have looked a little further back, into the
stillness and the darkness before Time dawned…she would have known
that when a willing victim who had committed no treachery was killed
in a traitor’s stead, the Table would crack and Death itself would start
working backwards.”

– C. S. Lewis, The Lion, the Witch and the Wardrobe , as quoted at
https://apologyanalogy.com/death-working-backwards/ .

Friday, December 25, 2020

Design Theory

Filed under: General — m759 @ 3:33 pm
Mathematics

http://www.log24.com/log/pix11A/110505-WikipediaFanoPlane.jpg

The Fano plane block design

Magic

http://www.log24.com/log/pix11A/110505-DeathlyHallows.jpg

The Deathly Hallows symbol—
Two blocks short of  a design.

Another name for the Fano plane design — The Ghostly  Hallows.
From a search in this journal  for Ghostly  —

Tuesday, December 15, 2020

Chess Tenet

Filed under: General — Tags: , — m759 @ 3:26 am

“Together with Tolkien and Lewis, this group forms
the Oxford School of children’s fantasy literature. . . .
They all celebrate the purported wisdom of old stories,
and follow the central tenet that Tolkien set out
for fairy-stories: ‘one thing must not be made fun of,
the magic itself.  That must in the story be taken seriously,
neither laughed at nor explained away.’ “

— A leftist academic’s  essay at aeon.co, “Empire of Fantasy,”
on St. Andrew’s Day, 2020.

Monday, December 14, 2020

Espace Carré

Filed under: General — Tags: , , , — m759 @ 3:24 pm

"Leave a space." — Tom Stoppard, "Jumpers."

Obituary of a novelist  in The Washington Post  yesterday —

"He gave various explanations for how he chose his nom de plume
le Carré means 'the square' in French —
before ultimately admitting he didn’t really know."

Related material for Dan Brown — Imperial Symbology and . . .

"Together with Tolkien and Lewis, this group forms
the Oxford School of children’s fantasy literature. . . .
They all celebrate the purported wisdom of old stories,
and follow the central tenet that Tolkien set out
for fairy-stories: ‘one thing must not be made fun of,
the magic itself.  That must in the story be taken seriously,
neither laughed at nor explained away.’ "

A leftist academic's  essay at aeon.co, "Empire of Fantasy,"
on St. Andrew's Day, 2020.

A more respectable writer on literature and magic —

Friday, December 4, 2020

Devil Music … Now in Infernovision!

Filed under: General — Tags: — m759 @ 3:26 pm

IMAGE- 'Devil Music' from 'Kaleidoscopes- Selected Writings of H.S.M. Coxeter'

DEVIL – MUSIC

20 pages of incidental music written at school
for G. K. Chesterton’s play MAGIC

by D. Coxeter.”

See also other posts now tagged Infernovision.

Sunday, November 22, 2020

The Galois-Fano Plane

Filed under: General — Tags: , — m759 @ 9:52 pm

A figure adapted from “Magic Fano Planes,” by
Ben Miesner and David Nash, Pi Mu Epsilon Journal
Vol. 14, No. 1, 1914, CENTENNIAL ISSUE 3 2014
(Fall 2014), pp. 23-29 (7 pages) —

Related material — The Eightfold Cube.

Update at 10:51 PM ET the same day —

Essentially the same figure as above appears also in
the second arXiv version (11 Jan. 2016) of . . .

DAVID A. NASH, and JONATHAN NEEDLEMAN.
“When Are Finite Projective Planes Magic?”
Mathematics Magazine, vol. 89, no. 2, 2016, pp. 83–91.
JSTOR, www.jstor.org/stable/10.4169/math.mag.89.2.83.

The arXiv versions

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