Saturday, March 31, 2018

Burying the Lede

Filed under: General — Tags: — m759 @ 10:30 PM

"Those seeking an understanding of the historical elements
of Jesus’ saga might find it profitable to engage the vast work
of David Friedrich Strauss, the German intellectual, whose
monumental 'The Life of Jesus, Critically Examined' was
translated into English in the 19th century by George Eliot.
(At times, the translation reads like a scholarly 'Middlemarch,'
much to its credit.)"

— Jon Meacham in the Easter Sunday print edition of
     The New York Times.  The above passage is
     paragraph 10 of Meacham's article.

See also "Over the Mountains" (Log24, Feb. 21, 2018).

Cube Theory

Filed under: General — m759 @ 9:00 PM

For Greta Gerwig and Saoirse Ronan —

See also a Log24 post from the above Cube Theory date —
April 12, 2016 — Lyrics for a Cartoon Graveyard — as well as . . .

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


Filed under: General,Geometry — Tags: — m759 @ 2:56 PM

“The greatest obstacle to discovery
is not ignorance —
it is the illusion of knowledge.”

— Daniel J. Boorstin,
Librarian of Congress,
quoted here in 2006.

Related material —

Remarks on Rubik’s Cube from June 13, 2014 and . . .

See as well a different Gresham, author of Nightmare Alley ,
and Log24 posts on that book and the film of the same name .

Notes for the Harrowing of Hell

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

From a post of April 15, 2006

From elsewhere

Friday, March 30, 2018

Unorthodox Drama

Filed under: General — Tags: , — m759 @ 9:29 PM

The online New York Times  this evening has an obituary
for "an unorthodox … drama scholar" who reportedly died 
on Thursday, March 22, 2018.

Some drama in this journal from around that date — in posts
tagged "The Cubes" — includes the following excerpt from
a graphic novel:

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

Thursday, March 29, 2018

To Imagine (or, Better, to Construct)

Filed under: General,Geometry — Tags: — m759 @ 8:10 PM

The title reverses a phrase of Fano —
costruire (o, dirò meglio immaginare).

Illustrations of imagining (the Fano plane) and of constructing (the eightfold cube) —


The Fano plane and the eightfold cube

“Before Creation Itself . . .”

Filed under: General,Geometry — Tags: , , , — m759 @ 10:13 AM

From the Diamond Theorem Facebook page —

A question three hours ago at that page

“Is this Time Cube?”

Notes toward an answer —

And from Six-Set Geometry in this journal . . .

Asymmetry: An Historical YA Fantasy

Filed under: General — Tags: — m759 @ 8:48 AM

Or:  The Discreet Charm of Stéphane

For Lisa Halliday

Supplementary images —

Wednesday, March 28, 2018

On Unfairly Excluding Asymmetry

Filed under: General — Tags: — m759 @ 12:28 AM

A comment on the the Diamond Theorem Facebook page

Those who enjoy asymmetry may consult the "Expert's Cube" —

For further details see the previous post.

Tuesday, March 27, 2018

Compare and Contrast

Filed under: General,Geometry — Tags: , — m759 @ 4:28 PM

Weyl on symmetry, the eightfold cube, the Fano plane, and trigrams of the I Ching

Related material on automorphism groups —

The "Eightfold Cube" structure shown above with Weyl
competes rather directly with the "Eightfold Way" sculpture 
shown above with Bryant. The structure and the sculpture
each illustrate Klein's order-168 simple group.

Perhaps in part because of this competition, fans of the Mathematical
Sciences Research Institute (MSRI, pronounced "Misery') are less likely
to enjoy, and discuss, the eight-cube mathematical structure  above
than they are an eight-cube mechanical puzzle  like the one below.

Note also the earlier (2006) "Design Cube 2x2x2" webpage
illustrating graphic designs on the eightfold cube. This is visually,
if not mathematically, related to the (2010) "Expert's Cube."

Monday, March 26, 2018


Filed under: General — m759 @ 12:00 PM

See also this journal on the above publication date.

Sunday, March 25, 2018

Musical Midrash

Filed under: General — m759 @ 12:23 PM

A detail from the previous post

A Meyer Levin subtitle: 'A Tale of Love in Je...'

A song lyric

Song lyric: 'Je suis, j'ai dit'

Saturday, March 24, 2018

Soul Notes

Filed under: General — m759 @ 8:25 PM

From a personal Kindle library —

From the world of mass entertainment —

Poster Boys

Filed under: General — m759 @ 7:42 PM

See also a search in this journal for Compulsion.


Filed under: General,Geometry — Tags: , — m759 @ 12:30 PM

Sure, Whatever.

Filed under: General,Geometry — Tags: , , — m759 @ 11:13 AM

The search for Langlands in the previous post
yields the following Toronto Star  illustration —

From a review of the recent film "Justice League" —

"Now all they need is to resurrect Superman (Henry Cavill),
stop Steppenwolf from reuniting his three Mother Cubes
(sure, whatever) and wrap things up in under two cinematic
hours (God bless)."

For other cubic adventures, see yesterday's post on A Piece of Justice 
and the block patterns in posts tagged Design Cube.

Friday, March 23, 2018


Filed under: General,Geometry — Tags: , — m759 @ 7:00 PM

Copy editing — From Wikipedia

"Copy editing (also copy-editing or copyediting, sometimes abbreviated ce)
is the process of reviewing and correcting written material to improve accuracy,
readability, and fitness for its purpose, and to ensure that it is free of error,
omission, inconsistency, and repetition. . . ."

An example of the need for copy editing:

Related material:  Langlands and Reciprocity in this  journal.

Piece Prize

Filed under: General,Geometry — Tags: , — m759 @ 6:15 PM

The Waymark Prize from 'A Piece of Justice' (1995) by Jill Paton Walsh

The Waymark Prize Mystery - 'A Piece of Justice' (1995) p. 138

From the Personal to the Platonic

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

On the Oslo artist Josefine Lyche —

"Josefine has taken me through beautiful stories,
ranging from the personal to the platonic
explaining the extensive use of geometry in her art.
I now know that she bursts into laughter when reading
Dostoyevsky, and that she has a weird connection
with a retired mathematician."

Ann Cathrin Andersen

Personal —

The Rushkoff Logo

— From a 2016 graphic novel by Douglas Rushkoff.

See also Rushkoff and Talisman in this journal.

Platonic —

The Diamond Cube.

Compare and contrast the shifting hexagon logo in the Rushkoff novel above 
with the hexagon-inside-a-cube in my "Diamonds and Whirls" note (1984).

Thursday, March 22, 2018

In Memoriam

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

Also on March 18, 2015 . . .

The Diamond Cube

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

The Java applets at the webpage "Diamonds and Whirls"
that illustrate Cullinane cubes may be difficult to display.

Here instead is an animated GIF that shows the basic unit
for the "design cube" pages at finitegeometry.org.

Wednesday, March 21, 2018

The Social Network: At RISC for MIPS

Filed under: General — Tags: — m759 @ 9:09 PM

MIPS Illustrated  (The above computing  meaning from Wiktionary,
                                   "millions of instructions per second") —


Filed under: General,Geometry — Tags: — m759 @ 2:15 PM

WISC = Wechsler Intelligence Scale for Children

RISCReduced Instruction Set Computer   or
             Rust Inventory of Schizotypal Cognitions

See related material in earlier WISC RISC posts.

See also . . .

"Many parents ask us about the Block Design section
on the WISC and hope to purchase blocks and exercises
like those used on the WISC test. We explain that doing that
has the potential to invalidate their child's test results.
These Froebel Color Cubes will give you a tool to work with
your child on the skills tested for in the Block Design section
of the WISC in an ethical and appropriate way. These same
skills are applicable to any test of non-verbal reasoning like  
the NNAT, Raven's or non-verbal sections of the CogAT or OLSAT. "

An online marketing webpage

For a webpage that is perhaps un ethical and in appropriate,
see Block Designs in Art and Mathematics.

RISC Sects

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

The title is from the URL of a paper discussed here yesterday
in the post "Mad Men vs. Math Men" —


Abstract   (See also a webpage on this and related publications.)  —

Related material from today's news

Update:  For further background, see a WIRED article from today.

Tuesday, March 20, 2018

Mad Men vs. Math Men

Filed under: General — Tags: — m759 @ 2:36 PM

Video starring the CEO of Cambridge Analytica —

Alexander Nix, 'From Mad Men to Math Men,' Hamburg Messe, 'Online Marketing Rockstars' speech, 2017

Related material from John Rust, now the director of the
Psychometrics Centre at the University of Cambridge —

My own sympathies are with the Mad Men.

See also Rust in the previous post, Cambridge Psychometrics.
He is known for the UK version of the Wechsler Intelligence Scale
for Children.

Cambridge Psychometrics*

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

* Not to be confused with Cambridge Analytica.

  See also Wechsler in this journal.

Springtime for Bavaria

Filed under: General — Tags: — m759 @ 12:15 PM

Monday, March 19, 2018

Such an Air of Spring About It

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

"Ready for More?" — The Times

Tough Crowd.

Filed under: General — Tags: — m759 @ 7:04 PM

Sunday, March 18, 2018

Draper at the Mother Church

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

From The Atlantic , September 2017 issue, online —
"How America Lost Its Mind," by former Harvard Lampoon  
writer Kurt Andersen —

Related material —

"There is a transformation, a metamorphosis that's going on here."
— Alexander Nix, CEO of Cambridge Analytica

The Lucasian Version —

Saturday, March 17, 2018

A Question for Cambridge Analytica

Filed under: General — Tags: — m759 @ 8:42 PM

Detail —

Related material —

See as well a search in this journal for (mixed) Emojis.


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

From "Star Wars: The Last Jedi" —

From elsewhere —

Friday, March 16, 2018


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

Wednesday, March 14, 2018


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

Recent Log24 posts on a mobile phone —

Stephen Hawking, 1942-2018

Filed under: General — m759 @ 12:15 AM

Tuesday, March 13, 2018


Filed under: General — m759 @ 1:33 PM

For Andrew Cusack.

A flashback from this  journal on the above remaking-myths date

See too The Crosswicks Curse.

Siempre con Dignidad

Filed under: General — m759 @ 12:00 PM

(Motto of Los Amigos High School, Fountain Valley, CA)

Monday, March 12, 2018


Filed under: General,Geometry — m759 @ 9:55 PM

Stein reportedly died at 100 last Friday (March 9).

Related material —

Textiles by Stein arranged on the six faces of a cube —

Ethel Stein, "Circus & Slapstick," 1996

See also a less amusing approach to
patterns on the faces of a cube.

“Quantum Tesseract Theorem?”

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

Remarks related to a recent film and a not-so-recent film.

For some historical background, see Dirac and Geometry in this journal.

Also (as Thas mentions) after Saniga and Planat —

The Saniga-Planat paper was submitted on December 21, 2006.

Excerpts from this  journal on that date —

A Halmos tombstone and the tale of HAL and the pod bay doors

     "Open the pod bay doors, HAL."

Sunday, March 11, 2018


Filed under: General — Tags: — m759 @ 12:41 PM

"You know my methods."

— Robert Downey Jr. to Jude Law in
     A Game of Shadows  (2011)

Blackboard Jungle Continues . . .

Filed under: General — m759 @ 10:28 AM

. . . With intolerable disrespect for the word …
In particular, the word "theorem."

See also "Quantum Tesseract Theorem" in this  journal.

Saturday, March 10, 2018


Filed under: General — m759 @ 12:25 PM

See also the undefined phrase "projective model" in a 2012 MIT thesis,
and the following book —

Check and Mate

Filed under: General — m759 @ 4:04 AM

Update of 4:30 AM —

Friday, March 9, 2018

The Cemetery Plot

Filed under: General — m759 @ 7:20 PM

The New York Times  today on a philosopher of
history who reportedly died on Monday, March 5 —

“Perhaps White’s most controversial idea,
and one for which he was so often shunned
by his fellow historians, is that ‘all stories
are fictions,’ ” Robert Doran, a professor at
the University of Rochester … said by email.
"White held that while historical facts are
scientifically verifiable, stories are not.
Stories are made, not found in the historical data;
historical meaning is imposed on historical facts
by means of the choice of plot-type, and this choice
is inevitably ethical and political at bottom.

"This is what White called 'emplotment,' a term
he coined," Dr. Doran continued. "Even the most basic
beginning-middle-end structure of a story represents
an imposition: The historian chooses where to begin,
where to end, and what points are important in the middle.
There is no scientific test for 'historical significance.' "

From this  journal on Monday, White's reported date of death —

Plan 9  continues.

Thursday, March 8, 2018

L’Engle Time Fold

Filed under: General — m759 @ 10:04 PM

Search this journal for the three words of the title.

Thanking the Academy…

Filed under: General,Geometry — m759 @ 9:11 PM


The Trial

Filed under: General — m759 @ 8:08 PM

"At the heart of the trial was the question of
whether the complainant could have agreed
to have sex with the defendant . . .
on Halloween night in 2015 . . . ."

Vivian Wang in The New York Times  this evening

This  journal on Halloween night in 2015 —


Filed under: General — m759 @ 7:00 PM

"We tell ourselves stories . . . ." — Joan Didion

New York Times Wire, 6:40 PM ET Thursday, March 8, 2018 

3h ago
How Lies Spread Online

They diffuse farther, faster and more broadly than the truth does.

4h ago
It’s True: False News Spreads Faster and Wider.
And Humans Are to Blame.

False claims posted on Twitter were 70 percent more likely
to be shared than the truth, researchers at M.I.T. found.
And people appear to prefer false news.

Women’s Day: The Hateful Eight

Filed under: General — m759 @ 10:45 AM

The image “http://www.log24.com/log/pix05B/051202-Axe.jpg” cannot be displayed, because it contains errors.

— From Katherine Neville's novel The Eight  (1988)

Related logic —

Nothing Fails Like Success, by Barbara Johnson

Enlarge the above.  Detail:

Barbara Johnson, Nothing Fails Like Success, detail

Wednesday, March 7, 2018


Filed under: General — Tags: — m759 @ 5:48 PM

"How do you  get young people excited about space?"

— Megan Garber in The Atlantic , Aug. 16, 2012

The above quote is from this  journal  on 9/11, 2014.

Related material —

Synchronology for the above date — 9/11, 2014 —

A BuzzFeed article with that date, and in reply

"A Personal Statement from Michael Shermer" with that date.

Unite the Seven.

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

Related material —

The seven points of the Fano plane within 

The Eightfold Cube.

Weyl on symmetry, the eightfold cube, the Fano plane, and trigrams of the I Ching

"Before time began . . . ."

  — Optimus Prime

Tuesday, March 6, 2018

Define Misconduct.

Filed under: General — Tags: — m759 @ 11:36 AM

Not to mention fish-men.

Fields Medal

Filed under: General — Tags: — m759 @ 10:30 AM

For "The Shape of Fluids"

Related material — Posts tagged Aqua.

Monday, March 5, 2018

Sacramento Legend

Filed under: General — m759 @ 7:00 PM

"Russell M. Solomon’s story was a Sacramento legend . . . ."

What of the Night?

Filed under: General — m759 @ 10:18 AM

"What of the night
That lights and dims the stars?
Do you know, Hans Christian,
Now that you see the night?"

— The concluding lines of "Sonatina to Hans Christian,"
by Wallace Stevens (in Harmonium  (second edition, 1931))

Sunday, March 4, 2018

The Square Inch Space: A Brief History

Filed under: General,Geometry — Tags: , — m759 @ 11:21 AM

1955  ("Blackboard Jungle") —

1976 —

2009 —

2016 —

 Some small Galois spaces (the Cullinane models)

Saturday, March 3, 2018

Thanking the Academy

Filed under: General — Tags: — m759 @ 11:05 PM

Blackboard Jungle , 1955 —

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

“Every transition from major to minor in a sonata, every transformation
of a myth or a religious cult, every classical or artistic formulation was,
I realized in that flashing moment, if seen with a truly meditative mind,
nothing but a direct route into the interior of the cosmic mystery….”

— Hermann Hesse, The Glass Bead Game

“How strange the change from major to minor….”

— Cole Porter, “Every Time We Say Goodbye“


Filed under: General — m759 @ 1:00 PM

For the Marvel Comics surgeon  Dr. Stephen Strange

For a real-life surgeon who reportedly died on Feb. 24,
a quotation from this journal on that date —

"What of the night
That lights and dims the stars?
Do you know, Hans Christian,
Now that you see the night?"

— The concluding lines of "Sonatina to Hans Christian,"
by Wallace Stevens (in Harmonium  (second edition, 1931))

Related material —

Friday, March 2, 2018

A Snowflake on the Iceberg

Filed under: General — m759 @ 11:00 AM

A scholium on the previous post, "Mother Ship Meets Mother Church" —

"Consider Saint Hedwig of Silesia (1174–1243), for example,
who is elegantly depicted in this catalogue, striking a pose
with her prayer book, rosary, and Virgin and child statue
(a reminder of the legitimacy of her sex), along with boots
slung over her elbow so she could walk barefoot like
the apostles. Between miracles, she was also known to 
supervise con­struction of new convents. Hedwig is but
a snowflake on the iceberg  of the extra­ordinary role of
actual women in the Middle Ages, to which more evidence
is added continually thanks the Feminae database."

— From "Wonder Women," by Matthew J. Milliner

Thursday, March 1, 2018

Mother Ship Meets Mother Church

Filed under: General — m759 @ 7:03 PM

See posts tagged Tsimtsum and, more specifically, Mother Church.

Women and Children First

Identity Icon

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

See also the previous two posts.

Bridge Program

Filed under: General — Tags: — m759 @ 11:40 AM

Too late .

Time Magazine  December 25, 2017 – January 1, 2018 —
The cover features "A Wrinkle in Time," opening March 9, 2018:

The Movement of Analogy: Hume vs. Paz

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

Hume, from posts tagged "four-set" in this journal —

"The mind is a kind of theatre, where several perceptions
successively make their appearance; pass, repass, glide away,
and mingle in an infinite variety of postures and situations.
There is properly no simplicity in it at one time, nor identity
in different, whatever natural propension we may have
to imagine that simplicity and identity."

Paz, from a search for Paz + Identity in this journal —

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

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

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