Friday, December 9, 2016

Still Point or Hole in the Data?

Filed under: Uncategorized — m759 @ 12:21 PM

Sacred Space (continued)

Filed under: Uncategorized — m759 @ 12:00 PM

See Plan 9 in this journal.

 The 3x3 square 


Filed under: Uncategorized — m759 @ 11:29 AM

As opposed to —

A Nov. 9 panel from the Mahindra Humanities Center at Harvard

Snow Dance

Filed under: Uncategorized — m759 @ 9:00 AM

See Ballet Blanc  in this journal.

For a darker perspective, click on the image below.

IMAGE- Detail of large 'Search for the Lost Tesseract' image with Amy Adams, Richard Zanuck, 'snowflake' structure, and white gloves

See also Cartier in The Hexagon of Opposition.

Happy birthday to Kirk Douglas.

Kirk Douglas in 'Diamonds'

Thursday, December 8, 2016

Space News

Filed under: Uncategorized — m759 @ 4:56 PM

"Bad news on the doorstep…." — American Pie

Update of 5:24 PM ET — A requiem chord

Tom Stoppard, Jumpers —

“Heaven, how can I believe in Heaven?” 
she sings at the finale.

“Just a lying rhyme for seven!”


Finite Groups and Their Geometric Representations

Filed under: Uncategorized — Tags: — m759 @ 8:06 AM

The title is that of a presentation by Arnold Emch
at the 1928 International Congress of Mathematicians:

See also yesterday's "Emch as a Forerunner of S(5, 8, 24)."

Related material: Diamond Theory in 1937.

Further remarks:  Christmas 2013 and the fact that
759 × 322,560 = the order of the large Mathieu group  M24 .

Wednesday, December 7, 2016

Spreads and Conwell’s Heptads

Filed under: Uncategorized — m759 @ 7:11 PM

For a concise historical summary of the interplay between
the geometry of an 8-set and that of a 16-set that is
involved in the the Miracle Octad Generator approach
to the large Mathieu group M24, see Section 2 of 

Alan R. Prince
A near projective plane of order 6 (pp. 97-105)
Innovations in Incidence Geometry
Volume 13 (Spring/Fall 2013).

This interplay, notably discussed by Conwell and
by Edge, involves spreads and Conwell's heptads .

Update, morning of the following day (7:07 ET) — related material:

See also "56 spreads" in this  journal.

Emch as a Forerunner of S(5, 8, 24)

Filed under: Uncategorized — m759 @ 1:00 PM

Commentary —

"The close relationships between group theory and structural combinatorics go back well over a century. Given a combinatorial object, it is natural to consider its automorphism group. Conversely, given a group, there may be a nice object upon which it acts. If the group is given as a group of permutations of some set, it is natural to try to regard the elements of that set as the points of some structure which can be at least partially visualized. For example, in 1861 Mathieu… discovered five multiply transitive permutation groups. These were constructed as groups of permutations of 11, 12, 22, 23 or 24 points, by means of detailed calculations. In a little-known 1931 paper of Carmichael [5], they were first observed to be automorphism groups of exquisite finite geometries. This fact was rediscovered soon afterwards by Witt [11], who provided direct constructions for the groups and then the geometries. It is now more customary to construct first the designs, and then the groups…."

  5.  R. D. Carmichael, Tactical configurations of rank two,
Amer. J. Math. 53 (1931), 217-240.

11.  E. Witt, Die 5-fach transitiven Gruppen von Mathieu,
Abh. Hamburg 12 (1938), 256-264. 

— William M. Kantor, book review (pdf), 
Bulletin of the American Mathematical Society, September 1981

Tuesday, December 6, 2016

Welcome to the Jungle Book

Filed under: Uncategorized — m759 @ 9:03 AM

"It was only the genius of Ramanujan
that could transmute the handicaps 
of colonialism into a triumph."

— See more at:

Related material:

‘Major League’ Meets Joe Black

Filed under: Uncategorized — m759 @ 12:00 AM

"You can see a lot just by looking." — Yogi Berra

Monday, December 5, 2016

Season’s Greetings from CBS

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

Update of 10:45 PM ET the same day —

See posts now tagged Sublime.  Happy birthday, General Custer.


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

Poetry's Bones

Sunday, December 4, 2016

London Recessional

Filed under: Uncategorized — Tags: — m759 @ 12:01 PM

Jack London on Kipling —

Also for "Recessional."


Filed under: Uncategorized — m759 @ 11:00 AM

In memory of …

Sunday Sermon

Filed under: Uncategorized — m759 @ 2:45 AM

Interpenetration of Opposites

See also "Interpenetration" in this journal.

Saturday, December 3, 2016

Harry Potter and the Lumber Room

Filed under: Uncategorized — Tags: — m759 @ 7:22 PM

"The dramatic irony is tragically strong with this one."

— A line from …

‘Harry Potter’: Who Is
The Cursed Child?

BY            AUGUST 1,  2016     

See also "Lumber Room" in this journal.

SIAM Publication

Filed under: Uncategorized — m759 @ 10:01 AM

For "the Trojan family" —

Related material on the late Solomon W. Golomb —

"While at JPL, Sol had also been teaching some classes
at the nearby universities: Caltech, USC and UCLA. In
the fall of 1962, following some changes at JPL—and
perhaps because he wanted to spend more time with
his young children— he decided to become a full-time
professor. He got offers from all three schools. He
wanted to go somewhere where he could 'make
a difference'. He was told that at Caltech 'no one has
any influence if they don’t at least have a Nobel Prize',
while at UCLA 'the UC bureaucracy is such that no one
ever has any ability to affect anything'. The result was
that—despite its much-inferior reputation at the time—
Sol chose USC. He went there in the spring of 1963 as
a Professor of Electrical Engineering—and ended up
staying for 53 years." — Stephen Wolfram, 5/25/16

See also Priority (Nov. 25) and "What's in a Name" (Dec. 1).

Friday, December 2, 2016

Smoke from the Sacred Wood

Filed under: Uncategorized — Tags: , — m759 @ 11:00 PM

The beginning of an essay by Emily Witt that is to appear on Sunday,
Dec. 4, 2016, in the T Magazine  of The New York Times

"Palo santo, which means 'holy stick' in Spanish, is a tree indigenous to the Caribbean and South America. When burned, it emits a fragrance of pine and citrus. Lighting a stick of palo santo, like burning a bundle of sage or sweetgrass, is believed to chase away misfortune. Amazonian shamans use it in ayahuasca ceremonies to cleanse a ceremonial space of bad spirits. Given its mystical connotations, it’s not a scent associated with the secular world, but lately I have noticed its distinctive smoke wafting over more earthly settings, from Brooklyn dive bars to blue-chip art openings."

The ending of an essay by T. S. Eliot that appeared in his 1921 book
titled The Sacred Wood

Those who prefer ayahuasca ceremonies may consult
a Sept. 10 post, Cocktail of the Damned.

A Small Witt Design*

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

The New York Times 's  online T Magazine  yesterday —

"A version of this article appears in print on December 4, 2016, on page
M263 of T Magazine with the headline: The Year of Magical Thinking."

* Thanks to Emily Witt for inadvertently publicizing the
   Miracle Octad Generator  of R. T. Curtis, which
   summarizes the 759 octads found in the large Witt design.

Images from a Lumber Room*

Filed under: Uncategorized — Tags: — m759 @ 7:20 AM

An image search today for
"Design Cube" + Cullinane:
Click to enlarge (5.3 MB) —

* For the title, see St. Andrew's Day.

When to Fold ’Em

Filed under: Uncategorized — m759 @ 12:00 AM

See The Folding in this journal.

Thursday, December 1, 2016

What’s in a Name

Filed under: Uncategorized — m759 @ 11:23 PM

Design Cube 2x2x2 for demonstrating Galois geometry

   Backstory Aug. 21, 2016, and Quora.com.


Filed under: Uncategorized — m759 @ 6:00 AM



Related literary reference —

"The only way of expressing emotion in the form of art
is by finding an 'objective correlative'; in other words,
a set of objects, a situation, a chain of events which
shall be the formula of that particular  emotion; such that
when the external facts, which must terminate in sensory
experience, are given, the emotion is immediately evoked.
If you examine any of Shakespeare’s more successful
tragedies, you will find this exact equivalence…."

— T. S. Eliot, "Hamlet and His Problems" (1919)

Wednesday, November 30, 2016

Eightfold Roman

Filed under: Uncategorized — m759 @ 8:00 PM

"Frye's largely imaginary eightfold roman 
may have provided him a personal substitute—
or alternative— for both ideology and myth."

— P. 63 of James C. Nohrnberg, "The Master of
the Myth of Literature: An Interpenetrative Ogdoad
for Northrop Frye," Comparative Literature  Vol. 53,
No. 1 (Winter, 2001), pp. 58-82

See also today's earlier post In Nuce .

Chess News

Filed under: Uncategorized — m759 @ 7:29 PM

Language Game

Filed under: Uncategorized — m759 @ 12:00 PM

Lumber Room

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

From "Northrop Frye at Home and Abroad: His Ideas,"
by Jean O'Grady —

"Frye always denied the accusation that
he was trying to make everyone accept
his whole ‘system’ like a straightjacket;
he remarked to an interviewer that perhaps
he would ultimately be found less useful as a
systemizer than as a quarry for later thinkers,
'a kind of lumber-room for later generations…
a resource person for anyone to explore and
get ideas from.' "

From Wikipedia's Lumber Room article —

"The phrase 'lumber room' is found in British fiction
at least during the 19th century ….  Probably one of
the most evocative references is the short story by 
'Saki' (H. H. Munro) called 'The Lumber Room':
'Often and often Nicholas had pictured to himself
what the lumber-room might be like, that region
that was so carefully sealed from youthful eyes
and concerning which no questions were ever answered.
It came up to his expectations. In the first place it was large
and dimly lit, one high window opening on to the forbidden
garden being its only source of illumination. In the second
place it was a storehouse of unimagined treasures.' "

See also Two by Four in this journal.

In Nuce

Filed under: Uncategorized — m759 @ 3:48 AM

Excerpts from James C. Nohrnberg, "The Master of the Myth of Literature: An Interpenetrative Ogdoad for Northrop Frye," Comparative Literature  Vol. 53, No. 1 (Winter, 2001), pp. 58-82

From page 58 —
"… the posthumously revealed Notebooks. A major project of the latter was his 'Ogdoad': two groups of four books each. '[T]he second group of four […] were considered to be Blakean "emanations" or counterparts of the first four,' like 'the "double mirror" structure of The Great Code  and Words with Power : two inter-reflecting parts of four chapters apiece,' Michael Dolzani reports.* "

* P. 22 of Rereading Frye: The Published and Unpublished Works , ed. David Boyd and Imre Salusinszky, Frye Studies [series] (Toronto: University of Toronto Press, 1998). [Abbreviated as RF .]

From page 62 —
"Visionaries like Blake and dramatists like Wagner seem to be working from some larger, mythic blueprint present in nuce  from very early on."

From page 63 —
"Frye's hypothetical books and will-to-totality were obviously fruitful; if the beckoning star was illusory, it nonetheless settled on a real birthplace. The sought-for constructs substituted their scaffolding for a backbone-like confidence in pre-given beliefs; possession of the latter is why Tories like Dr. Johnson and T.S. Eliot could do quite nicely without the constructs. Frye's largely imaginary eightfold roman  may have provided him a personal substitute— or alternative— for both ideology and myth."

From page 69 —
"For Frye the chief element of imaginative or expressive form is the myth, which functions structurally in literature like geometric shapes in painting."

From page 71 —
"The metaphysical skyhook lifting the artist free from unreflective social commitment is often a latent or manifest archetype that his work renews or reworks."

From page 77 —
"Frye's treatises— so little annotated themselves— are the notes writ large; the notes in the Notebooks are treatises writ small. They interpenetrate. Denham quotes 'the masters of the T'ien-tai school of Mahayana Buddhism' as saying '[t]he whole world is contained in a mustard seed' (RF  158, 160), and Frye quotes Keats: 'Every point of thought is the center of an intellectual world' (Study  159; cf. Great Code  167-68 and AC  61). …. [Frye’s] complex books were all generated out of the monadic obiter dicta . His kingdom 'is like a grain of mustard seed, which a man took, and cast into his garden, and it grew' (Luke 13:18-19)."

Tuesday, November 29, 2016

Border Station

Filed under: Uncategorized — m759 @ 3:33 AM

It’s Still the Same Old Story…

Filed under: Uncategorized — m759 @ 3:00 AM

Casablanca meets Capablanca.

IMAGE- Bogart in 'Casablanca' with chessboard

Schoolgirl Problem

Filed under: Uncategorized — m759 @ 2:14 AM

Monday, November 28, 2016

Higgs Boson of the Sublime

Filed under: Uncategorized — Tags: — m759 @ 3:29 PM

Click here to enlarge.

Update of 4:00 PM —

See also this  journal on Sunday morning and
Bill Murray's  "Razor's Edge."


Filed under: Uncategorized — Tags: — m759 @ 3:00 PM

Or:  A Candle for Sunrise  


Commentary —

“Looking carefully at Golay’s code is like staring into the sun.”

— Richard Evan Schwartz

Sunday, November 27, 2016

A Machine That Will Fit

Filed under: Uncategorized — Tags: — m759 @ 8:00 AM

Or:  Notes for the Metaphysical Club

Northrop Frye on Wallace Stevens:

"He… stands in contrast to the the dualistic
approach of Eliot, who so often speaks of poetry
as though it were an emotional and sensational
soul looking for a 'correlative' skeleton of
thought to be provided by a philosopher, a
Cartesian ghost trying to find a machine that
will fit."

Ralph Waldo Emerson on "vacant and vain" knowledge:

"The new position of the advancing man has all
the powers of the old, yet has them all new. It
carries in its bosom all the energies of the past,
yet is itself an exhalation of the morning. I cast
away in this new moment all my once hoarded
knowledge, as vacant and vain." 

Harold Bloom on Emerson:

"Emerson may not have invented the American
Sublime, yet he took eternal possession of it." 

Wallace Stevens on the American Sublime:

"And the sublime comes down
To the spirit itself,

The spirit and space,
The empty spirit
In vacant space."

A founding member of the Metaphysical Club:

See also the eightfold cube.

Rieff on Emerson

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

Saturday, November 26, 2016

Emerson’s Surprises

Filed under: Uncategorized — Tags: — m759 @ 6:00 PM

A passage quoted here Wednesday, Nov. 23

The exploding cigar and peanut-can snake of the previous post
suggest that the source of the above "series of surprises" 
be made clear. It is not Stevens, but Emerson.


Filed under: Uncategorized — Tags: — m759 @ 7:00 AM

See as well a related Google search.

Friday, November 25, 2016

The Correlative Skeleton

Filed under: Uncategorized — Tags: , — m759 @ 11:00 PM

Related material from this journal —

Spirit and Space

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

For those who prefer stories


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

Before the monograph "Diamond Theory" was distributed in 1976,
two (at least) notable figures were published that illustrate
symmetry properties of the 4×4 square:

Hudson in 1905 —

Golomb in 1967 —

It is also likely that some figures illustrating Walsh functions  as
two-color square arrays were published prior to 1976.

Update of Dec. 7, 2016 —
The earlier 1950's diagrams of Veitch and Karnaugh used the
1's and 0's of Boole, not those of Galois.

Thursday, November 24, 2016

For a Memorable Guitarist*

Filed under: Uncategorized — m759 @ 10:30 PM

See Bonanza and Magnificent Seven in this journal.

* Al Caiola, who reportedly died on November 9th.

Wednesday, November 23, 2016

But Seriously …

Filed under: Uncategorized — m759 @ 11:22 PM

Lullaby for Brooklyn

Filed under: Uncategorized — m759 @ 10:00 PM

This journal at 11:48 PM ET Sunday, Nov. 20, 2016

The New York Times  online this evening* —

* On the New York Times  Wire at 8:29 PM ET.

Cover:  Night at the Brooklyn Bridge


Filed under: Uncategorized — Tags: , — m759 @ 12:31 PM

From the American Mathematical Society (AMS) webpage today —

From the current AMS Notices

Related material from a post of Aug. 6, 2014


(Here "five point sets" should be "five-point sets.")

From Gotay and Isenberg, “The Symplectization of Science,”
Gazette des Mathématiciens  54, 59-79 (1992):

“… what is the origin of the unusual name ‘symplectic’? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure ‘line complex group’ the ‘symplectic group.’
… the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’
This is wonderfully apt….”

IMAGE- A symplectic structure -- i.e. a structure that is symplectic (meaning plaited or woven)

The above symplectic  structure* now appears in the figure
illustrating the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2).

* The phrase as used here is a deliberate 
abuse of language .  For the real definition of 
“symplectic structure,” see (for instance) 
“Symplectic Geometry,” by Ana Cannas da Silva
(article written for Handbook of Differential
, Vol 2.) To establish that the above
figure is indeed symplectic , see the post 
Zero System of July 31, 2014.

Tuesday, November 22, 2016


Filed under: Uncategorized — Tags: — m759 @ 4:00 PM

See "sacerdotal jargon" in this journal.

For those who prefer scientific  jargon —

"… open its reading to
combinational possibilities
outside its larger narrative flow.
The particulars of attention,
whether subjective or objective,
are unshackled through form,
and offered as a relational matrix …."

— Kent Johnson in a 1993 essay

For some science that is not just jargon, see

and, also from posts tagged Dirac and Geometry

Anticommuting Dirac matrices as spreads of projective lines

The above line complex also illustrates an outer automorphism
of the symmetric group S6. See last Thursday's post "Rotman and
the Outer Automorphism

Inner, Outer (continued from yesterday)

Filed under: Uncategorized — Tags: — m759 @ 8:00 AM

Monday, November 21, 2016

Inner, Outer

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

Detail of a note from 7/11, 1986

Backstory: Notes on Groups and Geometry, 1978-1986.

Laughing-Academy Cartography

Filed under: Uncategorized — m759 @ 2:45 AM

See also "Both Hands and an Ass Map"
in posts tagged "Academy Map."

End, Beginning, Inner, Outer, Etcetera, Etcetera

Filed under: Uncategorized — Tags: — m759 @ 2:14 AM

From "Kafka: An End or a Beginning?"
by Morten Høi Jensen
in Los Angeles Review of Books ,
November 19, 2016 —

Sunday, November 20, 2016

S is for …

Filed under: Uncategorized — m759 @ 11:48 PM

From a New York Times  obit for a music producer who reportedly
died on Tuesday, November 15, 2016 —

"He also produced the Starland Vocal Band’s No. 1 hit,
'Afternoon Delight' (1976), and conducted Rabbi Shlomo Carlebach,
and the orchestra that accompanied him, on his album
'Haneshama Lach' (1959)." — Daniel E. Slotnik

See as well



Filed under: Uncategorized — m759 @ 3:48 PM

See also Jung + Diamonds in this journal.

Saturday, November 19, 2016


Filed under: Uncategorized — m759 @ 6:00 PM

"The high-end diamond game is played
on a very small field by only a few players."

Matthew Hart in Vanity Fair , Sept. 2016 issue 

Alicia Vikander and Matt Damon in "Jason Bourne" (2016).
The linked-to trailer was uploaded on April 20, 2016.

For related entertainment, see posts of April 2016… 
in particular, those related to the April 20 death of
"Diamonds Are Forever" director Guy Hamilton.

Friday, November 18, 2016

The Wall

Filed under: Uncategorized — m759 @ 3:45 PM

Earlier …

Through the Vanishing Point

Filed under: Uncategorized — m759 @ 3:09 PM

This post's title is that of a book by Marshall McLuhan,
Through the Vanishing Point: Space in Poetry and Painting .

From a post of 6 PM yesterday

Click image to enlarge.

From the Web —

" The mystical school of thought came to be known as
Kabbalah , from the Hebrew root Qof-Beit-Lamed ,
meaning 'to receive, to accept.' The word is usually
translated as 'tradition.' " — Judaism 101

   Gruber reportedly died yesterday — November 17, 2016.

Key to All Mythologies

Filed under: Uncategorized — m759 @ 5:08 AM


Thursday, November 17, 2016

Archive Edition

Filed under: Uncategorized — m759 @ 7:00 PM

See also the previous post.

Bullshit Studies

Filed under: Uncategorized — m759 @ 6:00 PM


Click image to enlarge.

Rotman and the Outer Automorphism

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

This is a followup to Tuesday's post on the Nov. 15 American
Mathematical Society (AMS) obituary of Joseph J. Rotman.

Detail of a page in "Notes on Finite Geometry, 1978-1986,"
"An outer automorphism of S6 related to M24" —

Related work of Rotman —

"Outer Automorphisms of S6," by
Gerald Janusz and Joseph Rotman,
The American Mathematical Monthly ,
Vol. 89, No. 6 (Jun. – Jul., 1982), pp. 407-410

Some background —

"In a Nutshell: The Seed," Log24 post of Sept. 4, 2006:

Wednesday, November 16, 2016


Filed under: Uncategorized — m759 @ 9:22 PM

Lines for a late cellist

For a different sort of quartet,
see "Arrowy, Still Strings."

See also this journal ten years ago.

Tuesday, November 15, 2016

Joseph J. Rotman’s AMS Obituary

Filed under: Uncategorized — m759 @ 10:30 PM

The obituary linked to by the American Mathematical Society today
is a brief funeral-home summary.

A more complete account of Rotman's life, on the occasion of his
retirement, appeared in an academic newsletter in the spring of 2004 —

(Click image to enlarge.)

See also Rotman in this journal.

A Paris Review

Filed under: Uncategorized — m759 @ 4:56 PM

The half-hour referred to here was from 12 PM ET
to 12:30 PM ET on Friday, April 4, 2014

12 PM at Log24 —

12:30 PM at Princeton —

The New York Times  on an art lecturer who died on Nov. 9 —

She became a Vogue  correspondent in postwar Paris
and worked for art magazines before starting her own,
the celebrated L’Oeil  (The Eye).

See also Obituary Metaphysics from November 11th —

The View from Lone Pine …

Filed under: Uncategorized — m759 @ 5:48 AM

Three Log24 posts of April 5, 2014 —

and, on that same date, three Facebook 
posts from Clovis, CA.

See also the Log24 post of 7:13 AM ET
Saturday, November 12, 2016, which
contained only the following link —

1 Corinthians 15:55 .

Monday, November 14, 2016

California Dreaming

Filed under: Uncategorized — m759 @ 9:09 PM

(A post suggested by a Facebook page from Clovis, California)

See Elysian in this journal.

Related material — Shell Game in this journal.


Filed under: Uncategorized — m759 @ 7:00 PM

The title was suggested by posts on "Box of Nothing."

See also


Filed under: Uncategorized — Tags: — m759 @ 10:12 AM

See also Solomon Marcus in this journal.

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

Sunday, November 13, 2016


Filed under: Uncategorized — m759 @ 11:30 PM

Sewell is supposedly modeled on literary critic R. P. Blackmur.
For a quotation from Blackmur, see a post of June 1, 2006.

Devil’s Canyon

Filed under: Uncategorized — m759 @ 11:07 PM

Shell Game

Filed under: Uncategorized — m759 @ 3:10 PM

See "No Space or Time" in this journal and
the new trailer, starring Scarlett Johansson,
for "Ghost in the Shell."

Related philosophy — Search Log24 for "Trinity."

The Place

Filed under: Uncategorized — m759 @ 1:05 PM

"… a place where there's no space or time …."

— Leon Russell, "A Song for You"

"And in the midst of the war is
the Place, outside space and time…."

Saturday, November 12, 2016

Good Questions

Filed under: Uncategorized — Tags: — m759 @ 7:13 AM

1 Corinthians 15:55

Friday, November 11, 2016


Filed under: Uncategorized — m759 @ 6:29 PM

The character who dies in the above scene was not
played by Robert Vaughn (also in the film), but by
Brad Dexter, who reportedly died on Dec. 12, 2002.

See that date in this journal.

In Memory Of …

Filed under: Uncategorized — m759 @ 11:00 AM

… Songwriter Leonard Cohen, who reportedly
    died on November 7, 2016.

… And One More for the Road

Filed under: Uncategorized — m759 @ 2:45 AM

Obituary Metaphysics

Filed under: Uncategorized — m759 @ 2:38 AM

In memory of an art lecturer who reportedly died at 100
on Wednesday, November 9, 2016 —

"… an evening with Ms. Bernier was
a gateway to another realm."
— Robert D. McFadden,
New York Times  online yesterday

Wednesday, November 9, 2016

In the Labyrinth of Memory

Filed under: Uncategorized — m759 @ 9:15 PM

(Continued from January 8, 2003)

Another opening, another show.

Great Again

Filed under: Uncategorized — m759 @ 1:11 PM

Song suggested by Kellyanne Conway's remarks
in a CNN story today 

"We always felt that Hillary Clinton promising to
put coal miners out of work, or steel workers,
that wasn't going to go well in a place like
Pennsylvania.  Michigan, Wisconsin, the same thing,"
she said.  "So it just all started to come together."

"Here come old flat-top …."

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: Uncategorized — m759 @ 9:11 PM

Click images for related material.

Just the Facts, Ma’am*

Filed under: Uncategorized — m759 @ 1:23 PM

"After finishing high school in Miami,
Ms. Reno attended Cornell University,
graduating in 1960 with a degree in chemistry."

The online New York Times  today

* Folk quotation.

  An example that is blatantly not  "just the facts," from a Cornell author
  found via last midnight's link "Ghost Light"  —

         — David W. Henderson, Cornell University


Filed under: Uncategorized — m759 @ 12:00 AM

See "Ghost Light" in this journal.

Sunday, November 6, 2016


Filed under: Uncategorized — m759 @ 11:00 PM

On a renovation of Manhattan's Irish Repertory Theatre:

"Performances in the new space began on May 17, 2016."

This journal on May 17, 2016

Click the image below for a related story. 

See also Cartesian Theatre, a post of April 19, 2004.

Condolence Card

Filed under: Uncategorized — m759 @ 2:00 PM

From The Cincinnati Kid , a 1963 novel
by Richard Jessup —

"Funeral services will be held Sunday at 2 p.m. 
at Weil Funeral Home at 8350 Cornell Road….
Burial will follow the funeral service at the
United Jewish Cemetery in Walnut Hills."

"There'll be time enough for counting
when the dealing's done." — Kenny Rogers

Major League Obit

Filed under: Uncategorized — m759 @ 12:00 PM

Click to enlarge

Oh, when the saints …

Scene from the film "The Cincinnati Kid" (1965)

Saturday, November 5, 2016


Filed under: Uncategorized — m759 @ 7:31 PM

Wikipedia— "The first Million Mask March occurred in 2013."

A check of the date of that march in this journal yields

See as well, more generally, "Interpenetration" in this journal.

For the Old Guy

Filed under: Uncategorized — m759 @ 9:48 AM

See "Hollow Men" in this journal.

Friday, November 4, 2016

Musical Version

Filed under: Uncategorized — m759 @ 11:00 PM

On a Thursday death in Cincinnati

"At his death, Mr. Steiner was developing
a musical version of the movie 'Bull Durham.'

— William Grimes in tonight's online New York Times

Enjoy the show.

Crimson Tales

Filed under: Uncategorized — m759 @ 9:16 PM

This post was suggested by

A death last Sunday and a Harvard Crimson  story today.

Related images —

From last Sunday

From an author who reportedly died on Oct. 31 (Halloween)

Blues Sister

Filed under: Uncategorized — m759 @ 3:25 PM

Adam Bernstein on the late singer Kay Starr:

"She also was widely considered a master of the blues,
drawing praise for her authenticity from Billie Holiday,
Dinah Washington, Lester Young and Basie singer
Jimmy Rushing, who once exclaimed that she had
'so much soul!' Along with Peggy Lee, she was one of
the few non-black vocalists who emphasized a blues
repertoire at the time. (Ms. Starr was three-quarters
American Indian and one-quarter Irish.)"

Commentary —

Pop Hit

Filed under: Uncategorized — m759 @ 2:56 PM

The Washington Post  yesterday evening —

Kay Starr, ferociously expressive singer
who had pop hit with ‘Wheel of Fortune,’
dies at 94

By Adam Bernstein November 3 at 8:01 PM 

Kay Starr, a ferociously expressive singer whose ability to infuse swing, pop and country songs with her own indelible, bluesy stamp made her one of the most admired recording artists of her generation, died Nov. 3 at her home in Los Angeles. She was 94.

Midrash —

Yesterday afternoon's post "Triple Cross" and

Thursday, November 3, 2016

Triple Cross

Filed under: Uncategorized — m759 @ 1:30 PM

(Continued See the title in this journal, as well as Cube Bricks.)

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168
Related material —

Dirac and Geometry in this journal,
Kummer's Quartic Surface in this journal,
Nanavira Thera in this journal, and
The Razor's Edge  and Nanavira Thera.

See as well Bill Murray's 1984 film "The Razor's Edge"

Movie poster from 1984 —

"A thin line separates
love from hate,
success from failure,
life from death."

Three other dualities, from Nanavira Thera in 1959 —

"I find that there are, in every situation,
three independent dualities…."

(Click to enlarge.)

Monday, October 31, 2016


Filed under: Uncategorized — m759 @ 11:29 PM

Entertainment suggested by TV news tonight

See as well some related humor.

Best Costume Design

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

See also the previous post.

A Much-Needed Gap

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

University of Chicago Press:

Sunday, October 30, 2016

Reading for Devil’s Night

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

Saturday, October 29, 2016

Nine Years Ago…

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

Tuesday, October 25, 2016

Head Space

Filed under: Uncategorized — m759 @ 7:23 PM

"When logic and proportion
Have fallen sloppy dead" 

See Princeton,  Alice,  and Breitbart.

Deo Gratias

Filed under: Uncategorized — m759 @ 12:00 PM

See also a Log24 search for Triple Cross.

Monday, October 24, 2016

Space Review

Filed under: Uncategorized — m759 @ 8:30 PM

Princeton Space

Filed under: Uncategorized — 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: Uncategorized — 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: Uncategorized — 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: Uncategorized — 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: Uncategorized — m759 @ 6:00 PM



See also "Diamond Pivot" in this journal.


Filed under: Uncategorized — m759 @ 9:25 AM

A sequel to last night's Chess Problem

See as well a related CV .

Chess Problem

Filed under: Uncategorized — m759 @ 12:00 AM

Chess poem from Katherine Neville's 'The Eight'

Thursday, October 20, 2016

ART WARS continued…

Filed under: Uncategorized — m759 @ 10:00 PM



Filed under: Uncategorized — m759 @ 3:00 PM


Filed under: Uncategorized — m759 @ 9:00 AM

Box symbol

Click the above for
a Log24 search.

The Bookkeeper

Filed under: Uncategorized — m759 @ 12:00 AM

Wednesday, October 19, 2016

The Intelligent User:

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

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

The Crosswicks Curse Continues

Filed under: Uncategorized — m759 @ 11:29 AM

"There is  such a thing as 1906 "

In Memoriam …

Filed under: Uncategorized — m759 @ 11:00 AM

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

Tuesday, October 18, 2016


Filed under: Uncategorized — 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: Uncategorized — m759 @ 4:38 AM

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