Friday, April 13, 2018

Identity Check

Filed under: Uncategorized — m759 @ 3:30 PM

Own this business?


See, however,

Philosophy 101

Filed under: Uncategorized — Tags: — m759 @ 2:48 PM

See also Log24 posts now tagged "Is and As."

Thursday, April 12, 2018


Filed under: Uncategorized — Tags: — m759 @ 1:51 PM

Continued from Monday morning, for Lev Grossman —

Wednesday, April 11, 2018

Behance Post

Filed under: Uncategorized — m759 @ 9:17 PM

I just came across the 2010 web page
associated with the Adobe site "Behance.net." That page suggested
I too should have a Behance web presence.

And so the diamond theorem now appears at . . .


Tuesday, April 10, 2018


Filed under: Uncategorized — Tags: — m759 @ 2:15 PM

Arts & Letters Daily  today links to a piece on critic James Wood —

"More than anything else, for Wood, Updike failed in
the novelistic duty of helping readers to appreciate
the arc of their own lives and, just a little bit, their own

See also, in this  journal, Dimensión de Arco .


Filed under: Uncategorized — m759 @ 1:28 PM

Nietzsche on Heraclitus— 'play in necessity' and 'law in becoming'— illustrated.

"Nietzsche, Wittgenstein.
Wittgenstein, Nietzsche.

— After David Letterman
at the Academy Awards

Monday, April 9, 2018

The Long Hello

Filed under: Uncategorized — m759 @ 9:17 PM

Transportes Ometochtli   >>

Es la línea de transporte más antigua que va de Cuernavaca a Tepoztlán . . . .

Image from the 1973 Elliott Gould film "The Long Goodbye" —

Some backstory . . . .

  1. https://hidden-films.com/2014/11/09/the-little-movie-that-couldnt-

  2. https://en.wikipedia.org/wiki/A_Glimpse_of_Tiger
  3. http://m759.net/wordpress/?p=71956 —

Monday, January 8, 2018


Filed under: Uncategorized — m759 @ 12:00 AM 


Filed under: Uncategorized — Tags: — m759 @ 7:21 PM

NY Times wire, Ivor Guest obituary, screenshot at 7:09:09 PM ET

This journal on the above date of death, March 30, had a quote from
the author of the graphic novel Aleister & Adolf

"Program or be programmed."

I prefer Barbra to Aleister —

"Spirits rise and their dance is unrehearsed."

See as well spirits in the previous post.

Nicht Spielerei…

Filed under: Uncategorized — Tags: — m759 @ 8:25 AM

Continued  (for Lev Grossman  fans)

From the above Wikipedia article

  • In the Robert Frost poem, "The Witch of Coos," the game
    is referenced in lines 7-8:
    "Summoning spirits isn't 'Button, button,
    who's got the button,' I would have them know."

Fact check:  From the Frost poem at Bartleby.com

  • "Summoning spirits isn’t 'Button, button,
    Who’s got the button,' you’re to understand."

Sunday, April 8, 2018


Filed under: Uncategorized — m759 @ 11:00 PM

From a Log24 post of Feb. 5, 2009 —

Design Cube 2x2x2 for demonstrating Galois geometry

An online logo today —

See also Harry Potter and the Lightning Bolt.


OK Movie

Filed under: Uncategorized — m759 @ 11:00 AM

See also Chess War posts.

Raiders of the Lost Circle

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

Today is Orthodox Easter.

From a search in this journal for "Magic Circle" —

Saturday, April 7, 2018


Filed under: Uncategorized — Tags: — m759 @ 10:41 PM

The late Philip J. Davis in his 2004 essay 

"A Brief Look at Mathematics and Theology,"
Humanistic Mathematics Network Journal ,
Issue 27, Article 14. Available at:

wrote —

"In my childhood, the circle persisted as a potent magic figure
in the playtime doggerel 'Make a magic circle and sign it with a dot.'
The interested reader will find thousands of allusions to the phrase
'magic circle' on the Web."

There are fewer allusions to "magic circle" + "sign it with a dot."

One such allusion (click to enlarge) is . . .

Davis died on Pi Day .

Word and Image: Backstory for James Spader

Filed under: Uncategorized — m759 @ 2:14 PM

Actor James Spader in a 2014 interview

". . . my father taught English. My mother taught art . . . ."

Detail of part of a text by Magritte (1929) that appeared  
without attribution in the online New York Times  today —

See also, from a search for the phrase "Word and Image"
in this  journal —

The Philosophers' Stone as originally
illustrated in The New York Times 

http://www.log24.com/log/pix10A/100518-TheStoneNYT.jpg .

Related images —

Juliette Binoche in 'Blue'  The
 24 2x2 Cullinane Kaleidoscope animated images

See as well a Log24 search for "Philosophers' Stone"
and remarks related to the Magritte pictures above 
in the post Story of March 13, 2014.


Filed under: Uncategorized — Tags: — m759 @ 11:47 AM

The FBI holding cube in "The Blacklist" —

" 'The Front' is not the whole story . . . ."

— Vincent Canby, New York Times  film review, 1976,
     as quoted in Wikipedia.

See also Solomon's Cube in this  journal.

IMAGE- 'Solomon's Cube'

Webpage demonstrating symmetries of 'Solomon's Cube'

Some may view the above web page as illustrating the
Glasperlenspiel  passage quoted here in Summa Mythologica 

“"I suddenly realized that in the language, or at any rate
in the spirit of the Glass Bead Game, everything actually
was all-meaningful, that every symbol and combination of
symbols led not hither and yon, not to single examples,
experiments, and proofs, but into the center, the mystery
and innermost heart of the world, into primal knowledge.
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, where in the alternation
between inhaling and exhaling, between heaven and earth,
between Yin and Yang, holiness is forever being created.”

A less poetic meditation on the above 4x4x4 design cube —

"I saw that in the alternation between front and back,
between top and bottom, between left and right,
symmetry is forever being created."

See also a related remark by Lévi-Strauss in 1955

"…three different readings become possible:
left to right, top to bottom, front to back."

Friday, April 6, 2018

Watching the Zero

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

From "The Blacklist" Season 5, Episode 11 —

– Remind me again what it is that we think we're doing here.
– The phone acts as a passive packet sniffer.
It's a trick Tom taught me.
– Packet sniffer? Ugh.
– The FBI uses them.
I'm sure your tech people know all about them.
It can intercept and log traffic that passes over a digital network.
– It is an absolute mystery to me how these gadgets work —
the Dick Tracy phones, these blueteeth connections.
Quite frankly, I miss the rotary phone.
Except for that zero.
Watching that zero crawl back.
Oh, my God.
It was painful.
– We have the code.
– Great.

Read more:  https://www.springfieldspringfield.co.uk/

And more:

Philip J. Davis reportedly turned 86 on January 2, 2009.
An image from this journal on that date

Rotary telephone dial

“You have the incorrect number.
I will tell you what you are doing:
you are turning the letter O
instead of the zero.”

— "Symbols and Signs,"
Vladimir Nabokov, 1948

Plan 9

Filed under: Uncategorized — Tags: — m759 @ 2:18 PM

Salinger's 'Nine Stories,' paperback with 3x3 array of titles on cover, adapted in a Jan. 2, 2009, Log24 post on Nabokov's 1948 'Signs and Symbols'

The Thread Phantom: A Death on Pi Day*

Filed under: Uncategorized — Tags: , — m759 @ 12:42 PM

The American Mathematical Society on April 4 posted a story
about a death that they said occurred on March 14  (Pi Day):

* Notes on the Title —

The Thread Part 

The Phantom Part 

"What a yarn!" — Raymond Reddington in "The Blacklist"

Fact check on the death date reported by the AMS —

But Davis's funeral-home obituary agrees with the Pi Day date.

A Service

Filed under: Uncategorized — m759 @ 11:36 AM

From a Boston Globe obituary for Andrew Lewis, an Oscar-nominated
screenwriter who reportedly died at 92 on Feb. 28, 2018 —

"A service has been held for Mr. Lewis . . . ."

—  Bryan Marquard, Globe staff, April 5, 2018

From this  journal on the reported date of his death —

The Globe reports that Lewis's father was Clarence Irving Lewis,
a professor of philosophy at Harvard University.

Fact check:  See page 246 of C. I. Lewis: The Last Great Pragmatist ,
by Murray G. Murphey (SUNY Press, 2005).

Figure (a) above is not unrelated to philosophy. See Plato 's Meno  dialogue.
See also a different diamond — a symbol devised by C. I. Lewis for use in
modal logic — in the post Wittgenstein's Diamond (July 10, 2011).

Thursday, April 5, 2018


Filed under: Uncategorized — m759 @ 11:00 PM


Geometry of the I Ching (Box Style)

Box-style I Ching , January 6, 1989


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

The above title may be regarded as a poetic variant
of the title of Katherine Neville's 1988 novel The Eight .

Related material —

See also The Black Queen, a note from 2001.

Easter Fantasy

Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

From this journal at midnight (12 AM ET) on April 4

Related material —

From the weblog of Ready Player One  author Ernest Cline —

"Recently, a lot of people have asked me if a real person
inspired the character of James Halliday, the eccentric
billionaire video game designer in my book. Steve Jobs
and Steve Wozniak are both mentioned in the text,
because their world changing partnership inspired the
relationship between James Halliday and Ogden Morrow,
with Morrow being a charismatic tech industry leader like
Jobs, and Halliday being the computer geek genius of the
duo like Woz. But the character of James Halliday was
inspired by two other very different people.

As I told Wired magazine earlier this year, from the
beginning, I envisioned James Halliday’s personality as
a cross between Howard Hughes and Richard Garriott.
If I had to break it down mathematically, I’d estimate that
about 15% of Halliday’s character was inspired by
Howard Hughes (the crazy reclusive millionaire part), with
most of the other 85% being inspired by Richard Garriott."

Mrs.  Garriott

See as well Log24 posts tagged "Space Writer"
and the classic tune "Midnight at the Oasis."

Wednesday, April 4, 2018

D8ing the Joystick

Filed under: Uncategorized — Tags: — m759 @ 11:45 PM

Or: "Show me all  the blueprints!"
— A saying attributed to Howard Hughes.

Krysten Ritter narrates a podcast that asks 'R We D8ting?'

From the Blacklist episode in the previous post, "Date," blueprints
allegedly describing the boiler room in the Denver Mint —

Note the Thrust/Translation Controller Assembly (TTCA) at upper left
and the Attitude Controller Assembly (ACA) at lower right.

A NASA publication dated April 1, 1971, illustrates the Attitude Controller —

Krysten Ritter was born more than ten years later, in 1981.

For more on Attitude Control, see Boiler Room in this journal.


Filed under: Uncategorized — Tags: , — m759 @ 2:08 PM

An image discussed in the previous post

From a search for "1943" in this journal — 

"Paradine found himself growing slightly confused . . . ."

Gold Bug Variations (Continued)

Filed under: Uncategorized — Tags: , — m759 @ 1:32 PM

See as well a search for "Gold Bug"  in this  journal.

From that search —

Richard Powers, The Gold Bug Variations , first published in 1991—

Botkin, whatever her gifts as a conversationist, is almost as old
as the rediscovery of Mendel. The other extreme in age, 
Joe Lovering, beat a time-honored path out of pure math 
into muddy population statistics. Ressler has seen the guy 
potting about in the lab, although exactly what the excitable kid 
does is anybody's guess. He looks decidedly gumfooted holding
any equipment more corporeal than a chi-square. Stuart takes
him to the Y for lunch, part of a court-your-resources campaign.
He has the sub, Levering the congealed mac and cheese. 
Hardly are they seated when Joe whips out a napkin and begins
sketching proofs. He argues that the genetic code, as an 
algorithmic formal system, is subject to Gödel's Incompleteness
Theorem. "That would mean the symbolic language of the code 
can't be both consistent and complete. Wouldn't that be a kick 
in the head?"

Kid talk, competitive showing off, intellectual fantasy. 
But Ressler knows what Joe is driving at. He's toyed with similar 
ideas, cast in less abstruse terms. We are the by-product of the 
mechanism in there. So it must be more ingenious than us. 
Anything complex enough to create consciousness may be too 
complex for consciousness to understand. Yet the ultimate paradox
is Lovering, crouched over his table napkin, using proofs to 
demonstrate proof's limits. Lovering laughs off recursion and takes
up another tack: the key is to find some formal symmetry folded
in this four-base chaos
. Stuart distrusts this approach even more.
He picks up the tab for their two untouched lunches, thanking 
Lovering politely for the insight.

"The key is to find some formal symmetry…."

IMAGE- Valéry on ornament in 'Method of Leonardo,' with Valéry's serpent-and-key emblem

The Key

Filed under: Uncategorized — Tags: — m759 @ 12:32 PM

"The complete projective group of collineations and dualities of the
[projective] 3-space is shown to be of order [in modern notation] 8! ….
To every transformation of the 3-space there corresponds
a transformation of the [projective] 5-space. In the 5-space, there are
determined 8 sets of 7 points each, 'heptads' …."

— George M. Conwell, "The 3-space PG (3, 2) and Its Group," 
The Annals of Mathematics , Second Series, Vol. 11, No. 2 (Jan., 1910),
pp. 60-76.

"It must be remarked that these 8 heptads are the key to an elegant proof…."

— Philippe Cara, "RWPRI Geometries for the Alternating Group A8," in 
Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference 
(July 16-21, 2000), Kluwer Academic Publishers, 2001, ed. Aart Blokhuis,
James W. P. Hirschfeld, Dieter Jungnickel, and Joseph A. Thas, pp. 61-97.

For those who, like the author of The Eight  (a novel in which today's
date figures prominently), prefer fiction —

See as well . . .

Literary theorists may, if they wish, connect
cabalistically the Insidious  address "414" 
with the date  4/14 of the above post, and
the word Appletree with the biblical Garden.

Easter Entertainment Fix

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

Tuesday, April 3, 2018

Easter at Cambridge

Filed under: Uncategorized — m759 @ 11:33 PM

Three geometric readings, in chronological order —

Easter at Harvard

Filed under: Uncategorized — m759 @ 4:04 PM

See also The Crimson Passion.

Montana Wildhack

Filed under: Uncategorized — Tags: — m759 @ 1:22 PM

"On Tralfamadore, Billy is put in a transparent geodesic dome 
exhibit in a zoo; the dome represents a house on Earth.
The Tralfamadorians later abduct a movie star named
Montana Wildhack, who had disappeared and was believed to
have drowned herself in the Pacific Ocean. They intend to
have her mate with Billy." — Wikipedia on Kurt Vonnegut's 
Slaughterhouse-Five .

See also the previous post and (from Log24 on Jan. 22) "Hollywood Moment"

Matt B. Roscoe and Joe Zephyrs, both of Missoula, Montana, authors of article on quilt block symmetries

The Cage Country

Filed under: Uncategorized — Tags: — m759 @ 1:04 PM

See also "Black Mountain Meets Blue Ridge" (Log24, Feb. 22, 2018).

Entertainment Overload

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

From a May 13, 2010, New York Times  theater review

From a link in a post from yesterday evening —

"Why don't you come with me, little girl,
on a magic carpet ride?" — Steppenwolf lyrics

These lyrics are heard in  Star Trek: First Contact  (1996).

Related entertainment —

The production of "Passion Play" reviewed above opened May 12, 2010.

See also this journal on that date.

Monday, April 2, 2018

A Puzzle for the Clueless

Filed under: Uncategorized — Tags: — m759 @ 10:29 PM

From this evening's online New York Times

Or ask Log24.

The Steppenwolf Carpet

Filed under: Uncategorized — Tags: — m759 @ 9:20 PM

See posts tagged Steppenwolf Carpet in this journal.

Related fiction:  Weaveworld .

Three Mother Cubes

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

From a Toronto Star video pictured here on April 1 three years ago:

The three connected cubes are labeled "Harmonic Analysis," 'Number Theory,"
and "Geometry."

Related cultural commentary 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)."

The nineteenth-century German mathematician Felix Christian Klein
as Steppenwolf —

Volume I of a treatise by Klein is subtitled
"Arithmetic, Algebra, Analysis." This covers
two of the above three Toronto Star cubes.

Klein's Volume II is subtitled "Geometry."

An excerpt from that volume —

Further cultural commentary:  "Glitch" in this journal.


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

See the posts of April 1 three years ago.

Some context from a personal Kindle library —

"Elementary Mathematics from an Ad" suggests . . .

Sunday, April 1, 2018

The Truth Cube

Filed under: Uncategorized — m759 @ 12:16 PM

Or:  Hector and the Horse

"How many roads . . . . ?" — Bob Dylan


Filed under: Uncategorized — Tags: — m759 @ 11:07 AM

The Eightfold Cube

Quantum logo

Business logo

Happy April 1.

Saturday, March 31, 2018

Burying the Lede

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

From a post of April 15, 2006

From elsewhere

Friday, March 30, 2018

Unorthodox Drama

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

See also this journal on the above publication date.

Sunday, March 25, 2018

Musical Midrash

Filed under: Uncategorized — 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: Uncategorized — m759 @ 8:25 PM

From a personal Kindle library —

From the world of mass entertainment —

Poster Boys

Filed under: Uncategorized — m759 @ 7:42 PM

See also a search in this journal for Compulsion.


Filed under: Uncategorized — Tags: — m759 @ 12:30 PM

Sure, Whatever.

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

Also on March 18, 2015 . . .

The Diamond Cube

Filed under: Uncategorized — 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: Uncategorized — m759 @ 9:09 PM

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


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

* Not to be confused with Cambridge Analytica.

  See also Wechsler in this journal.

Springtime for Bavaria

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

Monday, March 19, 2018

Such an Air of Spring About It

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

"Ready for More?" — The Times

Tough Crowd.

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

Sunday, March 18, 2018

Draper at the Mother Church

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

Detail —

Related material —

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


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

From "Star Wars: The Last Jedi" —

From elsewhere —

Friday, March 16, 2018


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

Wednesday, March 14, 2018


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

Recent Log24 posts on a mobile phone —

Stephen Hawking, 1942-2018

Filed under: Uncategorized — m759 @ 12:15 AM

Tuesday, March 13, 2018


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

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

Monday, March 12, 2018


Filed under: Uncategorized — 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: Uncategorized — 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 —

     "Open the pod bay doors, HAL."

Sunday, March 11, 2018


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

Update of 4:30 AM —

Friday, March 9, 2018

The Cemetery Plot

Filed under: Uncategorized — 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: Uncategorized — m759 @ 10:04 PM

Search this journal for the three words of the title.

Thanking the Academy…

Filed under: Uncategorized — m759 @ 9:11 PM


The Trial

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

Not to mention fish-men.

Fields Medal

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

For "The Shape of Fluids"

Related material — Posts tagged Aqua.

Monday, March 5, 2018

Sacramento Legend

Filed under: Uncategorized — m759 @ 7:00 PM

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

What of the Night?

Filed under: Uncategorized — 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: Uncategorized — 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: Uncategorized — 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: Uncategorized — 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: Uncategorized — 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: Uncategorized — m759 @ 7:03 PM

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

Women and Children First

Identity Icon

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

See also the previous two posts.

Bridge Program

Filed under: Uncategorized — 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: Uncategorized — 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 

Wednesday, February 28, 2018

A Girl’s Guide to Chaos

Filed under: Uncategorized — m759 @ 9:55 AM

The title is that of a play mentioned last night in
a New York Times  obituary .

Related recent film lines —

  • Thor:  How do I escape?
  • Heimdall:  You're on a planet surrounded by doorways.
    Go through one.
  • Thor:  Which one?
  • Heimdall:  The big one!

Related material from this  journal on Jan. 20, 2018 —

The Chaos Symbol of Dan Brown.

Mathematics and Narrative

Filed under: Uncategorized — m759 @ 9:00 AM


Excerpts from a post of May 25, 2005 —

Above is an example I like of mathematics….

Here is an example I like of narrative:

Kate felt quite dizzy. She didn't know exactly what it was
that had just happened, but she felt pretty damn  certain  that
it  was  the  sort of experience that her mother would not have
approved of on a first date.
     "Is this all part of what we have to do to go to  Asgard?"
she said. "Or are you just fooling around?"
     "We will go to Asgard...now," he said.
     At that moment he raised his hand as if to pluck an apple,
but instead of plucking he made a tiny, sharp turning movement.
The effect  was as if he had twisted the entire world through a
billionth part of a billionth  part  of  a  degree.  Everything
shifted,  was  for  a  moment  minutely  out of focus, and then
snapped back again as a suddenly different world.

— Douglas Adams, The Long Dark Tea-Time of the Soul

Image from a different  different world —

Hat-tip to a related Feb. 26 weblog post
at the American Mathematical Society.

Tuesday, February 27, 2018

Risin’ Meets Oozin’

Filed under: Uncategorized — m759 @ 9:15 PM

For the former, see the previous post.

For the latter, see yesterday's The Unfolding.

Related material —

(Screenshot at 9:08 PM ET)

Heimel on Dating —

She adapted “Sex Tips” and “But Enough About You,” a 1986 collection, into a play, “A Girl’s Guide to Chaos,” which opened later that year off Broadway at the American Place Theater. The play is largely a conversation among four friends, one of whom, Cynthia (played by Debra Jo Rupp in the original production) realizes to her horror that she will have to start dating again.

“Please, God, no, don’t make me do it!” she says. “I’ll be good from now on, I promise! I’ll stop feeding the dog hashish! I’ll be kind, thoughtful, sober, industrious, anything. But please, God, not the ultimate torture of dating!”

— Richard Sandomir tonight in The New York Times 
on an author who reportedly died on Sunday, Feb. 25, 2018

<meta property="article:published"
content="2018-02-27T19:37:54-05:00" />

Die Welt, Die Zeit, and the Frankfurter

Filed under: Uncategorized — m759 @ 7:42 PM

"Risin' up to the challenge of our rival" — Eye of the Tiger

Raiders of the Lost Images

Filed under: Uncategorized — m759 @ 11:28 AM

On the recent film "Justice League" —

From DC Extended Universe Wiki, "Mother Box" —

"However, during World War I, the British rediscovered
mankind's lost Mother Box. They conducted numerous studies
but were unable to date it due to its age. The Box was then
shelved in an archive, up until the night Superman died,
where it was then sent to Doctor Silas Stone, who
recognized it as a perpetual energy matrix. . . ." [Link added.]

The cube shape of the lost Mother Box, also known as the
Change Engine, is shared by the Stone in a novel by Charles Williams,
Many Dimensions . See the Solomon's Cube webpage.

See too the matrix of Claude Lévi-Strauss in posts tagged
Verwandlungslehre .

Some literary background:

Who speaks in primordial images speaks to us
as with a thousand trumpets, he grips and overpowers,
and at the same time he elevates that which he treats
out of the individual and transitory into the sphere of
the eternal. 
— C. G. JUNG

"In the conscious use of primordial images—
the archetypes of thought—
one modern novelist stands out as adept and
grand master: Charles Williams.
In The Place of the Lion  he incarnates Plato’s
celestial archetypes with hair-raising plausibility.
In Many Dimensions  he brings a flock of ordinary
mortals face to face with the stone bearing
the Tetragrammaton, the Divine Name, the sign of Four.
Whether we understand every line of a Williams novel
or not, we feel something deep inside us quicken
as Williams tells the tale.

Here, in The Greater Trumps , he has turned to
one of the prime mysteries of earth . . . ."

— William Lindsay Gresham, Preface (1950) to
Charles Williams's The Greater Trumps  (1932)

For fans of what the recent series Westworld  called "bulk apperception" —

Monday, February 26, 2018

The Unfolding

Filed under: Uncategorized — Tags: — m759 @ 9:20 AM

From the website of Richard P. Gabriel

" As part of my studies, I came up with a 'theory of poetry' 
based loosely on Christopher Alexander’s 'Nature of Order.' "
[The Alexander link is mine, not Gabriel’s.]

A phrase from this  journal a year ago today — "poetic order" —
links to the theory of Gabriel —

From Gabriel's "The Nature of Poetic Order" —

Positive Space

• Positive space is the characteristic of a center
that moves outward from itself, seemingly oozing life
rather than collapsing on itself
• An image that resonates is showing positive space
• A word that has many connotations that fit with the
other centers in the poem is showing positive space
• It is an expansion outward rather than a contraction
inward, and it shows that the poem is unfolding
in front of us and not dying

Related material —

From a post of April 26, 2017

Sunday, February 25, 2018

The Dark, Seductive Art of Groton

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

A sequel to Friday's "The Dark, Seductive Art of Phillips Exeter."

From Twitter today —

Groton School‏ @GrotonSchool  Feb 1

Groton School Theater Department Presents: CABARET
Friday, February 23rd at 7:30 pm
Saturday, February 24th at 7:30 pm
Sunday, February 25th at 3 pm
All performances are free to the public. Please make ticket
reservations in advance online: http://bit.ly/CABARET2018.

Saturday, February 24, 2018

The Ugly Duck

Filed under: Uncategorized — m759 @ 7:11 PM

"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))

From "Mathmagic Land" (May 22, 2015)

Donald Duck with Pythagorean pentagram on hand

Donald in Mathmagic Land

From "The Trials of Device" (April 24, 2017)

Wittgenstein's pentagram and 4x4 'counting-pattern'

Pentagon with pentagram    

Friday, February 23, 2018

The Dark, Seductive Art of Phillips Exeter

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

From two pedagogues in Montana —


Related material from author Dan Brown's father,
a pedagogue who taught at Phillips Exeter Academy :

Click the above image for some background.

Related material from Log24 —


Compare and contrast with the above
Transformational Geometry  cover:

Related material from Vienna — The previous post and
Wittgenstein on Bewitchment.

See as well . . .

Click to enlarge.

Snow Games

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

'Origin' (NOT by Dan Brown)

Related material — (Click to enlarge) —

"Risin' up to the challenge of our rival"

Eye of the Tiger

Detail —

Thursday, February 22, 2018

The Melody

Filed under: Uncategorized — m759 @ 8:26 PM

Click for the source.

Ojo de Dios

Filed under: Uncategorized — m759 @ 7:55 PM

Black Mountain Meets Blue Ridge

Filed under: Uncategorized — Tags: — m759 @ 10:48 AM

Click to enlarge

Related material —

Wednesday, February 21, 2018

Crusader’s End

Filed under: Uncategorized — m759 @ 12:12 PM

"He made the Gallup Organization’s list of Ten Most Admired Men
in the World 54 times, a record, and his fame and influence as a
spiritual leader rivaled the pope’s." — Mark Feeney, Globe staff

Over the Mountains

Filed under: Uncategorized — m759 @ 5:14 AM

Judith Wilt on the fictional Casaubon of Middlemarch

Related material from Wikipedia:

The non -fictional Casaubon and Ultramontanism.

From the former:

"Neither side could understand that Casaubon's reading of
the church fathers led him to adopt an intermediate position
between Genevan Calvinism and Ultramontanism."

See as well Wilt on "Storytelling and Catholicism"
(Boston College syllabus, Spring 2016), and Enda's Game
(Log24, April 5, 2016).

Tuesday, February 20, 2018


Filed under: Uncategorized — m759 @ 7:07 AM

Instagram, August 4, 2017 —

See posts on Suppes and Child Buyers.

Bottom line — See also a post from August 4, 2017.

The System

Filed under: Uncategorized — m759 @ 6:00 AM

"It's the system  that matters. 
How the data arrange themselves inside it."

— Gravity's Rainbow  

"Examples are the stained-glass windows of knowledge."

— Vladimir Nabokov   

Map Systems (decomposition of functions over a finite field)

A Sharper Image

Filed under: Uncategorized — m759 @ 5:15 AM

Diamond-shaped face of Durer's 'Melencolia I' solid, with  four colored pencils from Diane Robertson Design

Click for some related posts.

Sunday, February 18, 2018


Filed under: Uncategorized — m759 @ 2:56 PM

"Butt rock is sincere as hell, the place where irony came to die."

— Deborah Kennedy of Portland, Oregon, in an essay,
"How Butt Rock Helped Me Find Love," dated July 25, 2014.

See also July 25, 2014, in Log24 posts tagged April Awareness 2014.

Side ad with an SFGate story this morning — 

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