Monday, October 31, 2016


Filed under: General — m759 @ 11:29 PM

Entertainment suggested by TV news tonight

See as well some related humor.

Best Costume Design

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

"So, how do we sift truth from belief? How do we write
our own histories, personally or culturally, and thereby
define ourselves? How do we penetrate years, centuries,
of historical distortion to find original truth? Tonight, this
will be our quest."

Robert Langdon, symbologist, in "The Da Vinci Code."

"… in Spain. There they are robes worn by priests."

— Langdon, op. cit.

How do you stop an elephant from charging?

Filed under: General — Tags: — m759 @ 1:09 PM

See also the previous post.

A Much-Needed Gap

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

University of Chicago Press:

Sunday, October 30, 2016

Reading for Devil’s Night

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

Saturday, October 29, 2016

Nine Years Ago…

Filed under: General — m759 @ 12:12 PM

And tomorrow's New York Times

Scene from "Invasion of the Body Snatchers" included in
"The Living Dead," a 1995 BBC TV series by Adam Curtis —

Related material — A post from nine years ago today and
Adam Curtis in tomorrow's New York Times Magazine :

"Several times, Curtis and I circled back to
the notion of the 'hyperobject' — that which
is too big in time and space to comprehend."

See as well the BBC TV series in the previous post, "Boo."


Filed under: General — m759 @ 9:29 AM

The word "intruders" in the previous post suggests
a Log24 search that yields

A scene from the 2014 BBC TV series “Intruders
(Season 1, Episode 1, at 9:22 of 45 min.)

Friday, October 28, 2016

Diamond-Theorem Application

Filed under: General,Geometry — Tags: — m759 @ 1:06 PM


"Protection of digital content from being tapped by intruders is a crucial task in the present generation of Internet world. In this paper, we proposed an implementation of new visual secret sharing scheme for gray level images using diamond theorem correlation. A secret image has broken into 4 × 4 non overlapped blocks and patterns of diamond theorem are applied sequentially to ensure the secure image transmission. Separate diamond patterns are utilized to share the blocks of both odd and even sectors. Finally, the numerical results show that a novel secret shares are generated by using diamond theorem correlations. Histogram representations demonstrate the novelty of the proposed visual secret sharing scheme."

— "New visual secret sharing scheme for gray-level images using diamond theorem correlation pattern structure," by  V. Harish, N. Rajesh Kumar, and N. R. Raajan.

Published in: 2016 International Conference on Circuit, Power and Computing Technologies (ICCPCT).
Date of Conference: 18-19 March 2016. Publisher: IEEE.
Date Added to IEEE Xplore: 04 August 2016

Excerpts —

Related material — Posts tagged Diamond Theorem Correlation.

Thursday, October 27, 2016

“Space Is the Place!”

Filed under: General,Geometry — m759 @ 4:44 PM

Or:  Pentagram Meets Counting-Pattern, Continued

Arts & Letters Daily  today links to a Chronicle of Higher Education
piece on philosophy with an illustration by the late Paul Laffoley 

This suggests a review of Laffoley's work. In particular —

For a larger view of the above Laffoley pentagram, click here.
Contrast with Wittgenstein's "counting-pattern" above, which
is, in fact, a hyperspace.

Wednesday, October 26, 2016

Cartoonist’s Requiem

Filed under: General — Tags: — m759 @ 11:29 PM

In memory of Jack T. Chick, 1924-2016.

Related material —

See also Log24 on the date of Chick's death.

Beware of Moving Pyramids

Filed under: General — m759 @ 12:00 PM

Tuesday, October 25, 2016

Head Space

Filed under: General — m759 @ 7:23 PM

"When logic and proportion
Have fallen sloppy dead" 

See Princeton,  Alice,  and Breitbart.

Deo Gratias

Filed under: General — m759 @ 12:00 PM

See also a Log24 search for Triple Cross.

Monday, October 24, 2016

Space Review

Filed under: General — m759 @ 8:30 PM

Princeton Space

Filed under: General — m759 @ 12:00 PM

From the Thursday, Oct. 13, 2016, Daily Princetonian —
The opening paragraphs of an article by Andie Ayala,
"In Pursuit of Space":

The ever-elusive “space” is a word spoken into a great expanse of hopes and fears and delusions: “safe spaces,” “inclusive spaces,” “open spaces,” “green spaces,” “learning spaces.” In this space, words float around abstractly, almost effortlessly, seemingly without the weight of any gravity; appearing to be a distant glimmer of an idea, a once bright and assuring light, which— without much definition— easily fades into obscurity.

Coming to Princeton, it’s tempting to feel as though the rhetoric surrounding the term “space” stretches the word out, magnifies it, and tacks it onto well-designed brochures and anonymous invitations. Yet the question remains— how do you comfortably situate yourself within the incredibly abstruse concept of “space,” especially when you happen to exist in a territory that has been occupied and claimed by an endless sea of others, and which has been upheld by an impregnable and deeply rooted history?

In the process of interviewing various members of the University, one thing has become clear; the question of space is an issue that is pertinent to all members of the Princeton community.

For greater depth on this topic, see the previous post.

For less depth, see a post of January 18, 2005.

Sunday, October 23, 2016


Filed under: General — m759 @ 8:24 PM

From mathematician Izabella Laba today —

From Harry T. Antrim’s 1967 thesis on Eliot —

“That words can be made to reach across the void
left by the disappearance of God (and hence of all
Absolutes) and thereby reestablish some basis of
relation with forms existing outside the subjective
and ego-centered self has been one of the chief
concerns of the first half of the twentieth century.”

And then there is the Snow White void  —

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

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


Filed under: General,Geometry — Tags: , — m759 @ 12:48 PM

“The man who lives in contact with what he believes to be a living Church
is a man always expecting to meet Plato and Shakespeare to-morrow
at breakfast.”

— G. K. Chesterton

Or Sunday dinner.

The Eightfold Cube


Jack in the Box, Natasha Wescoat, 2004
Natasha Wescoat, 2004


Not to mention Euclid and Picasso.


The image “http://www.log24.com/theory/images/Pythagoras-I47.gif” cannot be displayed, because it contains errors.

The image “http://www.log24.com/log/pix06A/RobertFooteAnimation.gif” cannot be displayed, because it contains errors.

In the above pictures, Euclid is represented by 
Alexander Bogomolny, Picasso by Robert Foote.

Saturday, October 22, 2016


Filed under: General — m759 @ 11:00 AM

From "The Magis way: Notes on the publishing culture,"
by Giampiero Bosoni, at http://www.magisdesign.com/magis-world/ —

" perhaps it is interesting to reflect further on the relationship between a design object and a literary work, by reading (in whatever interpretative key you choose) the illuminating definition given by the great semiologist Roland Barthes of the act of writing and of the literary value of a text. 'Writing,' Barthes tells us, 'is historically an action that involves constant contradiction, based on dual expectations. One aspect of writing is essentially commercial, a means of control and segregation, steeped in the most materialistic aspect of society. The other is an act of pleasure, connected to the deepest urges of the body and to the subtlest and most successful products of art. This is how the written text is woven. All I have done is to arrange and reveal the threads. Now each can add his own warp to the weft.' [3]

Magis’ long and highly advanced experience has given evidence, further confirmed by this latest publishing catalogue, of an ever-growing awareness of this necessary interweaving between warp and weft, between the culture of craftsmanship and that of industry, between design culture and business culture, between form and technique, between symbolic codes and practical functions, between poetry and everyday life." 

— Giampiero Bosoni

[3] Barthes R., Variations sur l’écriture  (1972), Editions du Seuil, Paris 1994, published in the second volume of the Oeuvres complètes  1966-1975 (freely translated from the Italian translation, Variazioni sulla scrittura seguite da Il piacere del testo , Ossola C. (editor) Einaudi, Turin 1999).

See as well "Interweaving" in this journal.

"Design is how it works." — Steve Jobs

Friday, October 21, 2016


Filed under: General — m759 @ 6:00 PM



See also "Diamond Pivot" in this journal.


Filed under: General — m759 @ 9:25 AM

A sequel to last night's Chess Problem

See as well a related CV .

Chess Problem

Filed under: General — m759 @ 12:00 AM

Chess poem from Katherine Neville's 'The Eight'

Thursday, October 20, 2016

ART WARS continued…

Filed under: General — m759 @ 10:00 PM



Filed under: General — m759 @ 3:00 PM


Filed under: General — m759 @ 9:00 AM

Box symbol

Click the above for
a Log24 search.

The Bookkeeper

Filed under: General — m759 @ 12:00 AM

Wednesday, October 19, 2016

The Intelligent User:

Filed under: General — m759 @ 7:59 PM

A Meditation on Two Dates

The dates are October 14, 2016, the release date of
the new film "The Accountant" —

"… clearer, more economical and formal, more liturgical."
     — David Remnick on lyrics of Leonard Cohen
     vs. those of Bob Dylan, quoted here on Oct. 14

— and May 12, 2016, the publication date of 
a YouTube trailer for "The Accountant."

Also quoted in the May 12 post

See as well the Ape with Skull (Affe mit Schädel) statue in
the Oct. 17 post Memorial Encounter. The version of the statue
pictured there omits the inscription "ERITIS SICUT DEUS"
in a book at the statue's base. There are related  remarks on
Mephistopheles and Faust at a different weblog.


Filed under: General — m759 @ 12:00 PM

A search for "Crosswicks Curse" in this journal leads (indirectly) to

The Crosswicks Curse Continues

Filed under: General — Tags: — m759 @ 11:29 AM

"There is  such a thing as 1906 "

In Memoriam …

Filed under: General — m759 @ 11:00 AM

Paul Calvin Shields, Nov. 10, 1933 – Sept. 15, 2016

Tuesday, October 18, 2016


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

The term "parametrization," as discussed in Wikipedia,
seems useful for describing labelings that are not, at least
at first glance, of a vector-space  nature.

Examples: The labelings of a 4×4 array by a blank space
plus the 15 two-subsets of a six-set (Hudson, 1905) or by a
blank plus the 5 elements and the 10 two-subsets of a five-set
(derived in 2014 from a 1906 page by Whitehead), or by 
a blank plus the 15 line diagrams of the diamond theorem.

Thus "parametrization" is apparently more general than
the word "coodinatization" used by Hermann Weyl —

“This is the relativity problem:  to fix objectively
a class of equivalent coordinatizations and to
ascertain the group of transformations S
mediating between them.”

— Hermann Weyl, The Classical Groups ,
Princeton University Press, 1946, p. 16

Note, however, that Weyl's definition of "coordinatization"
is not limited to vector-space  coordinates. He describes it
as simply a mapping to a set of reproducible symbols

(But Weyl does imply that these symbols should, like vector-space 
coordinates, admit a group of transformations among themselves
that can be used to describe transformations of the point-space
being coordinatized.)

For Luke’s Day

Filed under: General — m759 @ 4:38 AM

Monday, October 17, 2016

A Wrinkle in Space

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

"There is  such a thing as a counting-pattern."

— Saying adapted from a young-adult novel

See also the previous post and

Memorial Encounter:

Filed under: General — Tags: — m759 @ 5:40 PM

Pentagram Meets Counting-Pattern

Illustrations by Wittgenstein:


See posts from September 16, 2016, the date of death
for Professor Whitman A. Richards.

See also MIT News today

Groundhog Day for Hindus

Filed under: General — Tags: — m759 @ 11:25 AM

Live, Die, Repeat.

Groundhog Day Tablet

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

This  journal on that date —

The Los Angeles Times  this morning reported that poet
David Antin died at 84 last Tuesday, October 11.

From this  journal on that date

Sunday, October 16, 2016

Weiner* Mantra

Filed under: General — Tags: — m759 @ 11:09 PM

* For the title, see the Wikipedia article
  on the creator of the TV drama Mad Men .
  For another illustration of the mantra,
  see the previous post.

Facebook Image

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

Facebook image — Hindus for Trump'

Sunday Dinner

Filed under: General — m759 @ 2:00 PM

"I love those Bavarians." — Don Henley, "The Garden of Allah"

See also a BBC story from March 11, 2005, and Log24 on that date.

Saturday, October 15, 2016


Filed under: General — m759 @ 8:29 PM

Twelve and Twelve

Filed under: General — m759 @ 1:12 PM

See All Saints 2014 in this journal and listen to 
the new Stevie Nicks reissue of Bella Donna.

Related religious imagery —

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points (The 6 cube faces are mapped to the 6 hexagram lines.)

Word and Object

Filed under: General — m759 @ 12:12 PM

Lyric Poetry

Filed under: General — m759 @ 11:09 AM

"Lightning strikes, maybe once, maybe twice." — Stevie Nicks

A Marxist Perspective

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

The previous post, Nobel Perspective, suggests a review of
the following passage pictured here on August 27, 2013.

Click image for a better view of the original.

There are, of course, more sophisticated approaches
to the place of perspective in the history of art.

Friday, October 14, 2016

Nobel Perspective

Filed under: General — m759 @ 11:01 PM

A brief tale by Dario Fo, winner of the 1997 Nobel Prize in Literature —

The Birth of the Jongleur
from Mistero Buffo  (1969)

A related passage

A Little Solitaire

Filed under: General — m759 @ 10:00 PM

Detail of a photograph from 1954

A related tale

Him Too

Filed under: General — m759 @ 1:00 PM

. . . .

"Cohen’s links to Dylan were obvious—Jewish, literary,
a penchant for Biblical imagery, Hammond’s tutelage—
but the work was divergent. Dylan, even on his earliest
records, was moving toward more surrealist, free-
associative language and the furious abandon of
rock and roll. Cohen’s lyrics were no less imaginative
or charged, no less ironic or self-investigating, but he
was clearer, more economical and formal, more liturgical."

— David Remnick in the Oct. 17, 2016, New Yorker ,
"Leonard Cohen Makes It Darker." The title refers to
     a new Cohen song.

See also

"…Hashem has guaranteed our eternity…."
— Hineni founder Esther Jungreis, quoted in obit
    by Matthew Williams in Tablet  (Aug. 24, 2016).


A phrase from the date of Jungreis's reported death —

Res ipsa loquitur .

Thursday, October 13, 2016

Hymn Tunes

Filed under: General — m759 @ 2:02 PM

"Look out kid, they keep it all hid." — Bob Dylan

Wednesday, October 12, 2016

Elementary Art

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

The above cycle may have influenced the design
of Carl Jung's symbol of the self —

Jung's Self-Symbol


Related art by
Steven H. Cullinane

See also Levi-Strauss Formula in this journal.

Tuesday, October 11, 2016


Filed under: General — m759 @ 12:00 PM


On the 10th day of the Jewish month of Tishri comes Yom Kippur, meaning the 'Day of Atonement'. It's the holiest day of the year.

To mark the 'Sabbath of Sabbaths', Jews fast for 25 hours and pray devoutly for most of the day, with five different sessions – Maariv, Shacharit, Musaf, Minchah and Neilah. [Link added.]

When is Yom Kippur?

Yom Kippur 2016 is a one day celebration. The holy event begins in the evening of Tuesday, October 11 and ends in the evening of Wednesday, October 12.

* For the title, see yesterday's post "Noto."   See also yesterday's
  "Saturday Dialectics." For further background, see an October 2 
  Rosh Hashanah piece in Politico Magazine  by Ben Wofford. 
  From "Saturday Dialectics" —

"You know that it would be untrue
You know that I would be a liar
If I was to say to you
Girl, we couldn't get much higher"

Song written by Robby KriegerThe Doors
(album produced by Paul A. Rothchild)

Monday, October 10, 2016

Saturday Dialectics

Filed under: General — m759 @ 10:00 PM

See also

Jacob Neusner, Judaic Scholar Who Forged
Interfaith Bonds, Dies at 84

Neusner reportedly died on Saturday, Oct. 8, 2016.
For Log24 on that date, see posts now tagged
Saturday Dialectics.

Mono Type 1, by Sultan (1966)

Filed under: General,Geometry — m759 @ 12:06 PM

"Sultan" was a pseudonym of Peter Lindbergh, now a 
well-known fashion photographer. Click image for the source.

Related art — Diamond Theory Roullete, by Radames Ajna,
2013 (Processing  code at ReCode Project based on
"Diamond Theory" by Steven H. Cullinane, 1977).


Filed under: General — m759 @ 12:00 PM

(Google meets Wiktionary.)


Filed under: General — m759 @ 11:00 AM

Richard Wilhelm's grave. Note the eight I Ching trigrams.

Richard Wilhelm’s grave:
Note the eight I Ching
trigrams surrounding
the globe.


Filed under: General — m759 @ 10:07 AM

Image-- Back Space key from manual typewriter, linking to Babich on Music, Nietzsche, and Heidegger

The above key links to a Log24 search.

Sunday, October 9, 2016

The Left Space

Filed under: General — m759 @ 2:07 PM

See a 1.5 MB Google Image Search for 
Jumpers + Stoppard + "Leave a Space".

For the source of some of the images,
see a Log24 search for "Leave a Space."

Tinguely Museum

Filed under: General — m759 @ 7:01 AM

Yale University Press, 2001:

Tinguely, "Martin Heidegger,
Philosopher," sculpture, 1988

See also Talman in this journal.

Saturday, October 8, 2016

The Upshot

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

George Steiner's phrase "the language animal" as examined by
Charles Taylor —

Charles Taylor in March 2016 on George Steiner's phrase 'language animal'— 'The upshot of all this is....'

Steiner attributes his "language animal" phrase, in the transliterated
form "zoon phonanta,"  to the ancient Greeks. This attribution
is apparently bogus. See Steiner on Language (March 30, 2012).*

It is highly relevant that Taylor is a Catholic and Steiner is a secular Jew.

* More generally — See Steiner + Language + Animal in this journal.

Unity of Opposites: Plato and Beyond

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

The "unity" of the title was suggested by this morning's update
at the end of yesterday's post Paz.

For the Plato of the title, see the Sept. 27, 2016, post

Chomsky and Lévi-Strauss in China
Or:  Philosophy for Jews

For glyphs representing the "unity of opposites" of the title,
see a webpage linked to here on Groundhog Day 2014

The above image is related to Jung's remarks on Coincidentia
. (See also coincidentia in this journal.)

A different Jung, in a new video with analogues of the rapidly
flashing images in Ajna's webpage "Diamond Theory Roullete" —

The above video promotes Google's new open-source "Noto" font

Friday, October 7, 2016


Filed under: General — Tags: , — m759 @ 11:27 AM

The Paz quote below is from the last chapter
of his book, titled "The Dialectic of Solitude."

The phrase "dialectic of solitude" has been applied also to a 1967
book by the Colombian writer Gabriel García Márquez:

The conclusion of One Hundred Years of Solitude ,
a 1967 novel by Gabriel García Márquez —

"He was so absorbed that he did not feel the second surge of wind either as its cyclonic strength tore the doors and windows off their hinges, pulled off the roof of the east wing, and uprooted the foundations. Only then did he discover that Amaranta Úrsula was not his sister but his aunt, and that Sir Francis Drake had attacked Riohacha only so that they could seek each other through the most intricate labyrinths of blood until they would engender the mythological animal that was to bring the line to an end. Macondo was already a fearful whirlwind of dust and rubble being spun about by the wrath of the biblical hurricane when Aureliano skipped eleven pages so as not to lose time with facts he knew only too well, and he began to decipher the instant that he was living, deciphering it as he lived it, prophesying himself in the act of deciphering the last page of the parchments, as if he were looking into a speaking mirror. Then he skipped again to anticipate the predictions and ascertain the date and circumstances of his death. Before reaching the final line, however, he had already understood that he would never leave that room, for it was foreseen that the city of mirrors (or mirages) would be wiped out by the wind and exiled from the memory of men at the precise moment when Aureliano Babilonia would finish deciphering the parchments, and that everything written on them was unrepeatable since time immemorial and forever more, because races condemned to one hundred years of solitude did not have a second opportunity on earth."

Update of Saturday, October 8:

I do not recommend taking very seriously the work of Latin American leftists
(or American academics) who like to use the word "dialectic."

A related phrase does, however, have a certain mystic or poetic charm,
as pointed out by Wikipedia —

"Unity of opposites is the central category of dialectics,
and it is viewed sometimes as a metaphysical concept,
a philosophical concept or a scientific concept."

See also Bullshit Studies.

Thursday, October 6, 2016

A Labyrinth for Octavio

Filed under: General — m759 @ 7:00 PM

The title refers to the previous post.

From Middlemarch  (1871-2), by George Eliot, Ch. III —

"Dorothea by this time had looked deep into the ungauged reservoir of Mr. Casaubon's mind, seeing reflected there in vague labyrinthine extension every quality she herself brought; had opened much of her own experience to him, and had understood from him the scope of his great work, also of attractively labyrinthine extent. For he had been as instructive as Milton's 'affable archangel;' and with something of the archangelic manner he told her how he had undertaken to show (what indeed had been attempted before, but not with that thoroughness, justice of comparison, and effectiveness of arrangement at which Mr. Casaubon aimed) that all the mythical systems or erratic mythical fragments in the world were corruptions of a tradition originally revealed. Having once mastered the true position and taken a firm footing there, the vast field of mythical constructions became intelligible, nay, luminous with the reflected light of correspondences. But to gather in this great harvest of truth was no light or speedy work."

See also the term correspondence  in this journal.

Key to All Mythologies…

Filed under: General,Geometry — m759 @ 6:08 PM

According to Octavio Paz and Claude Lévi-Strauss

"Poetry…. conceives of the text as a series of transparent strata
within which the various parts—the different verbal and semantic
currents— produce momentary configurations as they intertwine
or break apart, as they reflect each other or efface each other.
Poetry contemplates itself, fuses with itself, and obliterates itself
in the crystallizations of language. Apparitions, metamorphoses,
volatilizations, precipitations of presences. These configurations
are crystallized time…."

— Octavio Paz in  The Monkey Grammarian  (written in 1970)

"Strata" also seem to underlie the Lévi-Strauss "canonic formula" of myth
in its original 1955 context, described as that of permutation groups  —

The 1955 Levi-Strauss 'canonic formula' in its original context of permutation groups

I do not recommend trying to make sense of the above "formula."

Related material —

"And six sides to bounce it all off of.


Filed under: General — m759 @ 12:00 PM

Nobel Flashback:

Wednesday, January 29, 2014

Nobel Note

Filed under: Uncategorized — m759 @ 7:59 PM 

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

— To Ride Pegasus ,
     by Anne McCaffrey (Radcliffe '47)

From a post of Jan. 11, 2012 —

Tension in the Common Room

IMAGE- 'Launched from Cuber' scene in 'X-Men: First Class'


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

Mirror Play

Filed under: General — Tags: — m759 @ 4:00 AM

See posts tagged Spiegel-Spiel.

"Mirror, Mirror …." —

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

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

Wednesday, October 5, 2016

The Crichton Prize …

Filed under: General — Tags: — m759 @ 10:32 AM

Goes to Feynman, Epstein, and Kaplan

“A self-replicating swarm of predatory molecules
is rapidly evolving outside the plant.”

Amazon.com synopsis of Michael Crichton’s
2002 novel Prey

Washington Post  online today —

Nobel Prize in chemistry is awarded
for molecular machines

” The physicist and Nobel laureate Richard Feynman
gave a seminal lecture on the subject in 1959,
envisioning a ‘great future’ in which ‘we can arrange
the atoms the way we want; the very atoms,
all the way down.’ ” — Sarah Kaplan

Richard Feynman in 1959

“How do we write small?”

Related material quoted here on Sunday morning, Oct. 2, 2016 —

Westworld  is especially impressive because it builds two worlds
at once: the Western theme park and the futuristic workplace.
The Western half of Westworld  might be the more purely
entertaining of the two, with its shootouts and heists and chases
through sublime desert vistas. Behind the scenes, the theme park’s
workers show how the robot sausage is made. And as a dystopian
office drama, the show does something truly original.”

— Adam Epstein at QUARTZ, October 1, 2016


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

From a Google image search yesterday

Sources (left to right, top to bottom) —

Math Guy (July 16, 2014)
The Galois Tesseract (Sept. 1, 2011)
The Full Force of Roman Law (April 21, 2014)
A Great Moonshine (Sept. 25, 2015)
A Point of Identity (August 8, 2016)
Pascal via Curtis (April 6, 2013)
Correspondences (August 6, 2011)
Symmetric Generation (Sept. 21, 2011)

Tuesday, October 4, 2016

Requiem Ex Machina

Filed under: General — m759 @ 7:20 PM

See also the previous post.

Celebrity Hurricane

Filed under: General — m759 @ 6:29 PM

The New York Times  today on the late LA theater director
Gordon Davidson —

" When Mr. Davidson announced his retirement in 2002,
Mr. Eustis summed up his achievement succinctly.
Mr. Davidson, he told The Los Angeles Times ,
'has managed to make serious theater in the eye of
the celebrity hurricane.' " — William Grimes

From a Google image search today for "Mobius 8 4" Configuration

See also this morning's Square Ice and an image from yesterday's
Recursion Revisited


Filed under: General — Tags: — m759 @ 10:27 AM

The title refers to a Log24 post of 9:45 AM ET Sunday, Oct. 2.

From the "Westworld" post of Sunday, Oct. 2 —

"It was rather like watching a play."


Square Ice

Filed under: General,Geometry — m759 @ 9:00 AM

The discovery of "square ice" is discussed in
Nature 519, 443–445 (26 March 2015).

Remarks related, if only by squareness —
this  journal on that same date, 26 March 2015

The above figure is part of a Log24 discussion of the fact that 
adjacency in the set of 16 vertices of a hypercube is isomorphic to
adjacency in the set of 16 subsquares of a square 4×4 array
provided that opposite sides of the array are identified.  When
this fact was first  observed, I do not know. It is implicit, although
not stated explicitly, in the 1950 paper by H.S.M. Coxeter from
which the above figure is adapted (blue dots added).

Monday, October 3, 2016

Ein Eck

Filed under: General,Geometry — Tags: — m759 @ 5:05 PM

Friday, July 11, 2014

Spiegel-Spiel des Gevierts

Filed under: Uncategorized — m759 @ 12:00 PM 

See Cube Symbology.

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

Da hats ein Eck 

Recursion Revisited

Filed under: General — m759 @ 9:00 AM

The New Yorker  online today has a piece on Y Combinator.  

Related material —

Hudson’s Inscape

Filed under: General,Geometry — m759 @ 7:59 AM

Yesterday evening's post Some Old Philosophy from Rome
(a reference, of course, to a Wallace Stevens poem)
had a link to posts now tagged Wittgenstein's Pentagram.

For a sequel to those posts, see posts with the term Inscape ,
a mathematical concept related to a pentagram-like shape.

The inscape concept is also, as shown by R. W. H. T. Hudson
in 1904, related to the square array of points I use to picture
PG(3,2), the projective 3-space over the 2-element field.

Sunday, October 2, 2016

Neville Marriner, 1924-2016

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

The Washington Post  online today —

Neville Marriner, who led renowned
Academy of St. Martin in the Fields, dies at 92

Meanwhile …

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

Some Old Philosophy from Rome

Filed under: General — Tags: — m759 @ 6:45 PM

See also Log24 posts from the above reported date of death —
posts now tagged Wittgenstein's Pentagram.


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

"I don't care about what anything was designed  to do,
 I care about what it can  do."

Ed Harris in "Apollo 13"


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

On a new HBO series that opens at 9 PM ET tonight —

Watching Westworld , you can sense a grand mythology unfolding before your eyes. The show’s biggest strength is its world-building, an aspect of screenwriting that many television series have botched before. Often shows will rush viewers into plot, forgetting to instill a sense of place and of history, that you’re watching something that doesn’t just exist in a vacuum but rather is part of some larger ecosystem. Not since Lost  can I remember a TV show so committed to immersing its audience into the physical space it inhabits. (Indeed, Westworld  can also be viewed as a meta commentary on the art of screenwriting itself: brainstorming narratives, building characters, all for the amusement of other people.)

Westworld  is especially impressive because it builds two worlds at once: the Western theme park and the futuristic workplace. The Western half of Westworld  might be the more purely entertaining of the two, with its shootouts and heists and chases through sublime desert vistas. Behind the scenes, the theme park’s workers show how the robot sausage is made. And as a dystopian office drama, the show does something truly original.

Adam Epstein at QUARTZ, October 1, 2016

"… committed to immersing its audience
  into the physical space it inhabits…."

See also, in this journal, the Mimsy Cube

"Mimsy Were the Borogoves,"
classic science fiction story:

"… he lifted a square, transparent crystal block, small enough to cup in his palm– much too small to contain the maze of apparatus within it. In a moment Scott had solved that problem. The crystal was a sort of magnifying glass, vastly enlarging the things inside the block. Strange things they were, too. Miniature people, for example– They moved. Like clockwork automatons, though much more smoothly. It was rather like watching a play."

A Crystal Block —

Cube, 4x4x4

Happy Birthday, Wallace Stevens

Filed under: General — Tags: — m759 @ 8:28 AM

Log24 in review — Logos and Logic,  Crystal and Dragon .

Saturday, October 1, 2016

Rippling Rhythms

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

The previous post presented Plato's Meno diagram as
an illustration of (superimposed) yin and yang.

For those who prefer a more fluid approach to yin and yang —

From a June 15, 2016, Caltech news release on gravitational waves —


The "chirp" tones of the two LIGO detections are available for download. Formats are suitable as ringtones for either iPhone or Android devices. (Instructions for installing custom ringtones)

September 2015 Detection

December 2015 Detection

Related commentary from July 2015 and earlier —

See posts tagged Haiku.

A different perspective —

“A Matrix of Four”

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

The title is from a book quoted in the previous post.

A related illustration from 7:31 AM Tuesday, September 27 —

"The matrix at left below represents the feminine yin  principle
and the diamond at right represents the masculine yang ."

Doris and Oscar

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

An image from last night's post Brand Name —

"Squared into a matrix of four" 

YouTube data suggested by the above passage —

'Doris Day Deserves an Oscar'— Doris Day on YouTube, 'A Guy Is a Guy'

Related literary remarks —

A Heart for the Gods of Mexico , Conrad Aiken, 1939

Brand Name

Filed under: General — Tags: — m759 @ 2:30 AM

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