Sunday, September 15, 2019

Changes Interlock

Filed under: General — m759 @ 12:07 PM

"Changes interlock…." — John Dewey

Indeed they do.

'The Eddington Song'

For Weisheit, the Rabbi

Filed under: General — m759 @ 3:30 AM

See also Log24 remarks from the date of Greene's death
in posts now tagged Bregnans

A page related to Eleanor Cook's "wonderful first line"
quoted above from A Reader's Guide to Wallace Stevens :

A Reader's Guide to Eleanor Cook

Saturday, September 14, 2019

Landscape Art

Filed under: General — Tags: — m759 @ 11:18 AM

From "Six Significant Landscapes," by Wallace Stevens (1916) —

 Rationalists, wearing square hats,
 Think, in square rooms,
 Looking at the floor,
 Looking at the ceiling.
 They confine themselves
 To right-angled triangles.
 If they tried rhomboids,
 Cones, waving lines, ellipses —
 As, for example, the ellipse of the half-moon —
 Rationalists would wear sombreros.

The mysterious 'ellipse of the half-moon'?

But see "cones, waving lines, ellipses" in Kummer's Quartic Surface 
(by R. W. H. T. Hudson, Cambridge University Press, 1905) and their
intimate connection with the geometry of the 4×4 square.

The Inappropriate Capstone

Filed under: General — Tags: — m759 @ 4:59 AM

The All-Night Record Player

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

See "Politics of Experience" and "Blue Guitar."

IMAGE- Scene from 'Oblivion' (2013) 

Friday, September 13, 2019

Follow the Adjective

Filed under: General — Tags: — m759 @ 12:14 PM


Schoolgirl Space…

Filed under: General — Tags: — m759 @ 4:56 AM

According to Wikipedia

See also Schoolgirl Space in this journal.

At the Door

Filed under: General — Tags: — m759 @ 3:45 AM

"Behold, I stand at the door, and knock." — Rev. 3:20

Say it with flowers.

For Harlan Kane The 3:20 Midrash:

"… the walkway between here and there would be colder than a witch’s belt buckle. Or a well-digger’s tit. Or whatever the saying was. Vera had been hanging by a thread for a week now, comatose, in and out of Cheyne-Stokes respiration, and this was exactly the sort of night the frail ones picked to go out on. Usually at 4 a.m. He checked his watch. Only 3:20, but that was close enough for government work."

— King, Stephen (2013-09-24).
    Doctor Sleep: A Novel  (p. 133). Scribner. Kindle Edition. 

Thursday, September 12, 2019

Tetrahedral Structures

Filed under: General — Tags: — m759 @ 8:11 PM

In memory of a Church emissary who reportedly died on September 4,
here is a Log24 flashback reposted on that date —

Related poetry —

"To every man upon this earth,
Death cometh soon or late.
And how can man die better
Than facing fearful odds,
For the ashes of his fathers,
and the temples of his gods…?"

— Macaulay, quoted in the April 2013 film "Oblivion"

Related fiction —

Pattern and Structure

Filed under: General — m759 @ 6:11 PM

From the previous post

" . . . Only by the form, the structure,
Can words or music reach
The stillness . . . ."

— Adapted from T. S. Eliot's Four Quartets 
by replacing "pattern" with "structure."

Other such replacements

Form and Structure

Filed under: General — m759 @ 11:26 AM

In memory of George F. Simmons, a mathematician
who reportedly died Aug. 6 at the age of 94  —

"It seems to me that a worthwhile distinction can be made
between two types of pure mathematics.  The first …
centers attention on particular functions and theorems
which are rich in meaning and history…. The second is
concerned primarily with form and structure."

— George F. Simmons, Introduction to Topology and
     Modern Analysis

" . . . Only by the form, the structure, 
Can words or music reach
The stillness . . . ."

— Adapted from T. S. Eliot's Four Quartets 
by replacing "pattern" with "structure."

Two posts related to Eliot's theological interests:

Form:  Jan. 10, 2012.
Structure:  June 6, 2016.

Art Logos …

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

… Continued from previous posts now tagged Art Logos.

"Logos," a Greek word used in philosophy and theology,
is, in modern usage, also a brief form of "logotypes,"
a name for the branding symbols used by businesses.

For some less commercial aspects of the philosophical
concept, see Logo in this journal.

Wednesday, September 11, 2019

The Logo

Filed under: General — Tags: — m759 @ 8:46 PM

The previous post suggests a review of . . .

“And after it rains . . .” — Paul Simon

Filed under: General — Tags: — m759 @ 11:15 AM

Black Feathers

Filed under: General — Tags: — m759 @ 10:44 AM

See also this morning's previous post, Peacock News.

"And all of the colors are black." — Paul Simon

Peacock* News

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

* The title of course refers to the NBC logo. 
   See also other instances of "Peacock" in this  journal.

Tuesday, September 10, 2019

Congruent Subarrays

Filed under: General — m759 @ 10:10 PM

A search for "congruent subarrays" yields few results. Hence this post.

Some relevant mathematics:  the Cullinane diamond theorem, which
deals with permutations  of congruent subarrays.

A related topic:  Square Triangles (December 15, 2015).

“The Thing and I” Continues*

Filed under: General — m759 @ 1:24 PM

* From earlier posts containing the title phrase.

Sic Transit

Filed under: General — Tags: — m759 @ 12:46 PM

Neil Montanus, a Kodak Colorama Photographer, Dies at 92

His colossal pictures, depicting an idealized American life,
greeted travelers at Grand Central Terminal for decades.

Mr. Montanus was 92 when he died on Friday 
under hospice care in Rochester, his son Jim said.

Robert Frank Dies; Pivotal Documentary Photographer Was 94

Mr. Frank, who was best known for his groundbreaking book,
“The Americans,” had a visually raw and personally expressive
style that made him one of the most influential photographers
of the 20th century.

Robert Frank, one of the most influential photographers 
of the 20th century, whose visually raw and personally
expressive style was pivotal in changing the course of
documentary photography, died on Monday in Inverness,
Nova Scotia. He was 94.

"And everything looks worse in black and white." — Paul Simon

The Wertham Memorandum

Filed under: General — m759 @ 3:38 AM

For Harlan Kane

From this  journal on Feb. 5, 2009:

"In the garden of Adding
live Even and Odd
And the song of love's recision
is the music of the spheres."

— The Midrash Jazz Quartet in 
City of God , by E. L. Doctorow (2000).

From this  journal on the date of
the above post by Gavaler:

Monday, September 9, 2019

ART WARS at Harvard: The Wertham Professorship

Filed under: General — m759 @ 8:38 PM

See as well an obituary for Mrs. Wertham from 1987.

Related art —

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 

For further details, search the Web for "Wertham Professor" + Eck.

Ebook for St. Augustine’s Day 2012

Filed under: General — m759 @ 6:23 PM

See as well this  journal on Augustine's Day 2012 and

The Montenegro Contingency

Filed under: General — m759 @ 8:44 AM

(For Harlan Kane)

"While digging in the grounds for the new foundation,
the broken fragments of a marble statue were unearthed."

— From Thomas Hardy, "Barbara of the House of Grebe,"
quoted in an epigraph to Paul de Man's "Shelley Disfigured,"
in turn quoted by Barbara Johnson on page 231 of Persons
and Things  
(Harvard paperback, 2010).

From "the world of the unintentional, the contingent, the minute,
and the particular" (Kovacevic, U. of Montenegro, 2011) —

Yes, we received your payment.
No, it wasn't late, but it was for $78.13,
and the bill was for $78.31.
Okay, great.

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

Another such transposition:  Pages  213 and 231 in a search
for "gaps" in a 2010 paperback discussion of Lacan —

These pages are as follows —

A Word of Warning

Filed under: General — m759 @ 6:41 AM

Language games —

From the posts of July 8, 2008

Paul R. Halmos, Finite Dimensional Vector Spaces, Princeton, 1948-- Definition of linear manifold (denoted by script M)

Sunday, September 8, 2019

A Harvard*-Resistant Book Search

Filed under: General — m759 @ 7:36 PM

(The above title was suggested by today's "Child-Resistant 4×4.")

* Specifically, resistant to the above revelation attributed to Barbara Johnson
   by  Harvard University Press

   "Deconstruction calls attention to gaps and reveals
    that their claims upon us are fraudulent."

    A related search at Amazon.com:

Barbara Johnson explains Lacan:

" The 'gap' in the real is the leap 
from the empirical to 
the signifying articulation 
of the object of desire
it cannot be perceived empirically. 
It is 'nothing.' "

Persons and Things , paperback (2010),
  Harvard University Press, page 213

Romance Language

Filed under: General — m759 @ 7:00 PM

See as well Stanza Romanza (August 16, 2019).

The Groping (for Stephen King)

Filed under: General — m759 @ 8:33 AM

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

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

The Child-Resistant 4×4

Filed under: General — m759 @ 7:03 AM

Saturday, September 7, 2019

Fury Road: Jukebox Hero*

Filed under: General — m759 @ 10:11 PM

"Fury: OK. Your turn. Prove you're not a Skrull.

[Carol calmly blasts energy out of her fists towards a jukebox
on the opposite side of the room before resting her head
back on her fist. Fury continues to look towards the jukebox,
both concerned and confused]

Fury: And how is that supposed to prove to me that you're not a Skrull?

Carol: It's a photon blast.

Fury: And…?

Carol: A Skrull can't do that. So a full-bird colonel turned spy turned
SHIELD agent must have pretty high security clearance. Where's Pegasus?

[The scene changes to a black car driving through an empty highway
next to a mountain, before changing to the inside of the car showing Fury
driving and Carol in the passenger seat]

Fury: So the Skrulls are alien races which infiltrate and overtake alien planets.
And you're a Kree, a race of noble warriors.

Carol: Heroes. Noble warrior heroes."

* See also this morning's post in memory of guitarist Jimmy Johnson
   as well as . . .

Fashion Calendar

Filed under: General — m759 @ 9:12 PM

"New York Fashion Week is scheduled Friday, September 6 through
Wednesday, September 11. View the preliminary schedule here. 

UPDATED AS OF: Thu 08/29/19"

— https://cfda.com/fashion-calendar/official-nyfw-schedule

View also a fashion photo from this  journal on 08/29/19 —

I do not know where the above tank top can be purchased.

Muscle Shoals at the Crosstime Saloon*

Filed under: General — m759 @ 2:47 AM

In memoriam:  Guitarist, studio engineer Jimmy Johnson, 1943-2019 .

Johnson reportedly died on Thursday, Sept. 5.

See also, from the first of the seven posts of  Thursday, August 29 —

* See a reference to that literary  saloon from June 11, 2013.

Thursday, September 5, 2019

Desert Economics

Filed under: General — m759 @ 3:23 PM

See as well

In Memory of James Atlas

Filed under: General — m759 @ 1:07 PM

Fetishes and Embarrassments

Filed under: General — Tags: — m759 @ 12:31 PM

The title, from Doreen St. Félix  (previous post),
is irresistible. Details to flesh it out will follow.

Update of 12:41 PM – See Brosnan in Urge .

Gen Z in Nighttown

Filed under: General — Tags: — m759 @ 5:14 AM

See as well Bloomsday 2019 in this  journal.

Wednesday, September 4, 2019

RIP Peter Lindbergh

Filed under: General — m759 @ 2:20 PM

Screenshot of the online New York Times :

See also Lindbergh in this  journal.

Tiger Leap

Filed under: General — Tags: — m759 @ 7:18 AM


Walter Benjamin on 'a tiger's leap into the past'

See also RIP: The Peace of Pi —

The Importance of Responding Earnestly

Filed under: General — Tags: — m759 @ 6:39 AM

"Letting someone speak does not mean we condone
what they are saying, and it does not absolve that person
or group from consequences. And when we disagree,
we have an obligation to respond earnestly."

— Harvard College dean Rakesh Khurana in an undated
"Welcome Home" message to returning students (Fall, 2019)

An earnest response from this journal —

Title Check — “2000: A Time Odyssey”

Filed under: General — m759 @ 5:50 AM

See as well a webpage from 2000,
"Symmetry from Plato to the
Four-Color Conjecture

Tuesday, September 3, 2019

Observable Now Works in My Chrome

Filed under: General — Tags: — m759 @ 9:17 PM

Annals of Square Space

Filed under: General — Tags: — m759 @ 9:23 AM


Toy Story:

Space Story:

See Square Space (hosted by Squarespace):

The Observable Fork

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

"When you come to a fork . . . ." — Yogi Berra (?)

The Observable site does not work in my Chrome browser.
To play with it, use Firefox.  For a more straightforward
JavaScript program see the Diamond 16 Puzzle.

Monday, September 2, 2019


Filed under: General — Tags: — m759 @ 4:56 PM

A link, observablehq.com/demo(not functioning in my Chrome
browser at the present time but apparently OK in Firefox) in the 
previous post suggests . . .

"Physically meaningful observables must also satisfy 
transformation laws which relate observations
performed by different observers in different 
frames of reference. These transformation laws are 
automorphisms of the state space, that is 
bijective transformations which preserve certain
mathematical properties of the space in question."

— Wikipedia, Observable

Those who prefer narrative to mathematics may read
"automorphisms" as "auto morphisms."

"Before time began . . . ." — "Transformers" first line, 2007

Code Explorer

Filed under: General — Tags: — m759 @ 3:11 PM

At present, the above Ajna page is not functioning in my Chrome browser 
and is only partly functioning in Edge, but seems OK in Firefox.

For Fans of the “Story Theory of Truth”*

Filed under: General — m759 @ 3:03 AM

* See that title in this journal.

Sunday, September 1, 2019


Filed under: General — Tags: — m759 @ 5:50 PM

Illustration from other posts now tagged
Cervantes Meets Pascal.

See as well Verhexung  in this journal.

This  post was suggested by . . .

The Abacos Conundrum

Filed under: General — m759 @ 3:57 PM

For Harlan Kane

Image from a New York Times  story this afternoon.

Symmetry and the Quaternion Group:

Filed under: General — m759 @ 7:11 AM

Down the Up Ladder

Saturday, August 31, 2019


Filed under: General — m759 @ 10:16 AM

From this journal on All Hallows' Eve 2007

"God demands scrutiny beyond his menacingly comic aspects."

— Harold Bloom on José Saramago's The Gospel According to
Jesus Christ 
 (1991). Saramago was awarded the Nobel Prize 
in Literature in 1998. 

The Hamilton watch from "Interstellar" (2014) —

Friday, August 30, 2019

Things of August

Filed under: General — m759 @ 9:07 PM

Those who prefer entertainment may consult Bright Club (August 4).


Filed under: General — m759 @ 8:45 PM

"From an early age she aspired to be a ballet dancer,
and, though never the sveltest girl en point, at 16
she landed a job in the corps de ballet at Radio City Music Hall."

— From a New York Times  obituary this evening


Filed under: General — m759 @ 8:15 PM

See as well posts tagged Go Set.

Doctor Sleep Meets the Padre

Filed under: General — m759 @ 5:42 AM

The Coxeter Aleph

Filed under: General — Tags: — m759 @ 4:21 AM


The previous post displayed part of a page from
a newspaper published the day Olivia Newton-John
turned 21 — Friday, September 26, 1969.

A meditation, with apologies to Coleridge:

In Xanadu did Newton-John
A stately pleasure-square decree
Where Aleph the sacred symbol ran
Through subsquares measureless to man.

A related video —

Beware, beware, her flashing eyes, her floating hair:

Set design —

As opposed to block design

Thursday, August 29, 2019

Spirits Rise

Filed under: General — Tags: — m759 @ 7:33 PM

"In real life, Sophia Lillis loves horror…."

— https://www.cheatsheet.com/entertainment/

"Spirits rise and their dance is unrehearsed…." 

— A nightmare song by Barbra Streisand

But not, perhaps, horror in real life . . .

Plan 9

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

Continuing the themes of the last three posts, which
are now also tagged News Women . . .

"publishDate":"04-07-2017 01:48"


As Well

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

For some backstory, see 
http://m759.net/wordpress/?s="I+Ching"+48+well .

See as well  "elegantly packaged" in this journal.

"Well" in written Chinese is the hashtag symbol,
i.e., the framework of a 3×3 array.

My own favorite 3×3 array is the ABC subsquare
at lower right in the figure below —

'Desargues via Rosenhain'- April 1, 2013- The large Desargues configuration mapped canonically to the 4x4 square



Filed under: General — Tags: , — m759 @ 11:59 AM

See "Anastas…" in this journal.

Fashion News for Fury Road

Filed under: General — Tags: , — m759 @ 1:25 AM

Charlize Theron in 'Mad Max: Fury Road' says 'Redemption.'

The Fashion Eagle…

Filed under: General — Tags: — m759 @ 12:33 AM

Or:   404 Found!  continued.

For Carol Danvers* (Battle Angel )**

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

* See Wikipedia and the previous post.

** See Into the Sunset (Aug. 24).

Wednesday, August 28, 2019


Filed under: General — m759 @ 10:56 PM

Influenz , by Paul Klee —

"One of the most influential of modern thinkers . . . ."

As is Stan Lee . . .

"Watch the trailer." — This journal on Eliza Doolittle Day, 2012 .

Carol and Thor... 'easily the best part' in 'Avengers: Endgame' trailer

The Sign

Filed under: General — Tags: — m759 @ 4:57 PM

From Catherine Asaro’s  The Spacetime Pool  :

She gaped at him. “Do you mean a Riemann sheet?  A branch cut from one Riemann sheet to another?”

“That’s right.” He hesitated. “You know these words?”

She laughed unsteadily. “It’s nonsense. Not the sheets, I mean, but they’re just mathematical constructs! They don’t actually exist. You can’t physically go through  a branch cut any more than you could step into a square root sign.”

See Dream Palace (June 23, 2014) and today's previous post.


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

Le Supplement

Filed under: General — Tags: — m759 @ 3:46 PM

Click TLS image for the source.

Tiger’s Leap  to 1905

Filed under: General — Tags: , — m759 @ 3:03 PM

Walter Benjamin on 'a tiger's leap into the past'

See other posts
now tagged
Crosswicks Curse.


Click to enlarge:

Block Designs?

Tuesday, August 27, 2019

Tiger Leaps

Filed under: General — Tags: , — m759 @ 10:33 AM

Walter Benjamin on 'a tiger's leap into the past'

See also Tiger in this journal, esp.

The image “http://www.log24.com/log/pix05/050123-Tiger.JPG” cannot be displayed, because it contains errors.   and . . .

other "Death and the Spirit" posts.

Dark Screwball Link

Filed under: General — m759 @ 9:15 AM

A broken link found in the search results of 
the previous post suggests a review . . .

Dark Screwball

Filed under: General — m759 @ 9:01 AM

See the title in this journal.

Monday, August 26, 2019

Lucy Noir

Filed under: General — m759 @ 9:28 PM

Roll With It

Filed under: General — m759 @ 9:01 PM

See Nov. 22, 2009.

“I need a photo opportunity” — Paul Simon

Filed under: General — m759 @ 8:01 PM

Photo Opportunity , courtesy of Leni Riefenstahl — Click to enlarge.


From Paul Simon's dreaded Cartoon Graveyard


The Riefenstahl publication above was suggested by . . .

Firsts:  Farmer’s Daughter

Filed under: General — Tags: — m759 @ 11:45 AM

See as well the firsts of Sophia Lillis (Saturday, August 24).

Sunday, August 25, 2019

Logos for Ito

Filed under: General — m759 @ 9:57 PM


Burning Man and Sugar Labs logos

An Epstein Requiem

Filed under: General — Tags: — m759 @ 9:21 PM

"Look at what you've done
Why, you've become a grown-up girl"

See also September Morn in this  journal.

The Globe Icon

Filed under: General — m759 @ 8:49 PM

Design Theory

Filed under: General — Tags: , , — m759 @ 7:58 PM

"Mein Führer Steiner"

See Hitler Plans and Quadruple System.

"There is  such a thing as a quadruple system."

— Saying adapted from a 1962 young-adult novel

Math for Space Groupies

Filed under: General — m759 @ 1:08 PM

See as well posts now tagged Helsinki Math in this journal.

"And you think parallel parking is hard?"

A Solid Point

Filed under: General — m759 @ 11:07 AM

"Show me all  the blueprints."

For Harlan Kane* — The Rittenberg Saga

Filed under: General — m759 @ 1:21 AM

* See Kane in this  journal.

Saturday, August 24, 2019

Into the Sunset

Filed under: General — m759 @ 11:11 PM

Every picture tells a story .

The A Team —

The Z Team —

The Dongle

Filed under: General — m759 @ 4:05 PM

The Tale of  24

Filed under: General — m759 @ 3:33 PM

Sophia in Storyville*

Filed under: General — m759 @ 12:54 PM

* See the previous post.  Related material:
The Lolita Express  and Magic Carpet Ride.

For those who prefer Tell . . .

Filed under: General — m759 @ 12:20 PM

(The title refers to the previous post.)

"There is a house in New Orleans
Not the one you've heard about,
I'm talking about another house.
They spoke of gold in the cellar
That a Spanish gentleman had left…"

Song lyric by David Berman suggested by
his New Yorker  elegy

"Reddington and Vesco are watching the opera,
and the plan begins."

Friday, August 23, 2019

Show and Tell

Filed under: General — m759 @ 10:06 PM

I prefer Show.

Times Icons

Filed under: General — m759 @ 8:59 PM


Filed under: General — m759 @ 8:31 PM

Hits the Spot

Filed under: General — m759 @ 11:53 AM

Thursday, August 22, 2019


Filed under: General — m759 @ 8:59 PM

In reply to a post by David Justice this afternoon,
"Wardrobe Malfunction."

From a three-part meditation on Sept. 30, 2008:

For less high-minded meditations, see Tony Stark in today's
previous post

"Tony Stark: That's how I wished it happened.
Binarily Augmented Retro-Framing, or BARF.
God, I gotta work on that acronym.
An extremely costly method of hijacking the
hippocampus to . . . clear traumatic memories. Huh."

Working on that acronym . . .


Real Presences

Filed under: General — m759 @ 3:00 PM

The "Real Presences" title is from the Aug. 20 post "Inception."
See also the real presences in a recent book by J. D. Vance —

"Mom was, everyone told me, the smartest person
they knew. And I believed it. She was definitely the
smartest person I knew."

— Vance, J. D., Hillbilly Elegy  (pp. 65-66).
Harper Paperbacks. Kindle Edition. 

And not so real . . .


Wednesday, August 21, 2019

Language Evolution

Filed under: General — m759 @ 10:30 AM

See the title in this journal.

See too .  .  .

and, exploring Burroway's "nature of identity"


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

Continued  (from previous post) . . .

British cover (2011) for 'From Eternity to Here,' by Sean Carroll

Time Fold Revisited

Filed under: General — m759 @ 12:01 AM

British cover (2011) for 'From Eternity to Here,' by Sean Carroll

(Oneworld Publications, Jan. 3, 2011)

Compare and contrast with an illustration
from "Time Fold," a webpage of Oct. 10, 2003 —

See also the Squarespace logo:

Tuesday, August 20, 2019

Ice Giants and Fire Gods: Mind the Gap

Filed under: General — Tags: — m759 @ 5:52 PM

From my reading Monday morning —

From the online New York Times  this afternoon —

Related literature —

For the Church of Synchronology

The Gigantomachia page above is dated September 20, 2003.
See as well my own webpage from that date: "The Form, the Pattern."


Filed under: General — m759 @ 9:51 AM

 "The inception  of critical thought, of a philosophic
anthropology, is contained in the archaic Greek definition
of man as a 'language-animal'…."

— George Steiner, Real Presences

A schoolgirl in 1961 —

"Non, rien de rien…"

— Edith Piaf

"I get a kick though it's clear to see,
You obviously don't adore me."

— Cole Porter

Monday, August 19, 2019

A Couple of Tots

Filed under: General — Tags: — m759 @ 10:15 PM

The title is from the post "Child's Play" of May 21, 2012 . . .

"It seems that only one course is open to the philosopher
who values knowledge and truth above all else. He must
refuse to accept from the champions of the forms the
doctrine that all reality is changeless [and exclusively
immaterial], and he must turn a deaf ear to the other party
who represent reality as everywhere changing [and as only
material]. Like a child begging for 'both', he must declare
that reality or the sum of things is both at once  [το όν τε και
το παν συναμφότερα] (Sophist  246a-249d)."

Related material —

"Schoolgirl Space: 1984 Revisited" (July 9, 2019) and
posts tagged Tetrahedron vs. Square.

Gods and Giants

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

For "the Pergamum altar," see Pergamon in this journal.

See also . . .

Sunday, August 18, 2019

Structure at Pergamon

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

Some background for The Epstein Chronicles

"What modern painters
are trying to do,
if they only knew it,
is paint invariants."

— James J. Gibson, Leonardo,
    Vol. 11, pp. 227-235.
    Pergamon Press Ltd., 1978

See also Robert Maxwell,
Frank Oppenheimer,
and the history of Leonardo .

Click the above Pergamon Press image
for Pergamon-related material.

Saturday, August 17, 2019

Crystalline Complexity

Filed under: General — Tags: — m759 @ 6:08 PM

Burroway on Hustvedt in The New York Times ,
Sunday, March 9, 2003 —

See as well "Putting the Structure  in Structuralism."

Art by Google

Filed under: General — m759 @ 9:23 AM

In memory of De Niro's gallerist —

Settings and Tools ,  pixels, 2019

See also Jar Story.


Filed under: General — m759 @ 7:41 AM

See a Log24 search for "solid.html."

Friday, August 16, 2019

Stanza Romanza

Filed under: General — Tags: — m759 @ 7:49 PM

Wallace Stevens's 'a million diamonds' quote in Woodman's 'Stanza My Stone'

For those who prefer greater clarity than is offered by Stevens . . .

The A section —

The B section —

"A paper from Helsinki in 2005 says there are more than a million
3-(16,4,1) block designs, of which only one has an automorphism
group of order 322,560. This is the affine 4-space over GF(2)."


Filed under: General — m759 @ 10:45 AM


IMAGE- 'Nocciolo': A 'kernel' for Pascal's Hexagrammum Mysticum: The 15 2-subsets of a 6-set as points in a Galois geometry.

A revision of the above diagram showing
the Galois-addition-table structure —

Related tables from August 10

See "Schoolgirl Space Revisited."

The Psychiatric Toolbox

Filed under: General — m759 @ 9:46 AM

Annals of Self-Medication

(Click for a related post.)

The image “http://www.log24.com/log/pix06A/060811-Bottle.jpg” cannot be displayed, because it contains errors.

Thursday, August 15, 2019

Schoolgirl Space — Tetrahedron or Square?

Filed under: General — Tags: , — m759 @ 9:03 PM

The exercise in the previous post  was suggested by a passage
purporting to "use standard block design theory" that was written
by some anonymous author at Wikipedia on March 1, 2019:

Here "rm OR" apparently means "remove original research."

Before the March 1 revision . . .

The "original research" objected to and removed was the paragraph
beginning "To explain this further."  That paragraph was put into the
article earlier on Feb. 28 by yet another anonymous author (not  by me).

An account of my own (1976 and later) original research on this subject 
is pictured below, in a note from Feb. 20, 1986 —

'The relativity problem in finite geometry,' 1986

On Steiner Quadruple Systems of Order 16

Filed under: General — Tags: , — m759 @ 4:11 AM

An image from a Log24 post of March 5, 2019

Cullinane's 1978  square model of PG(3,2)

The following paragraph from the above image remains unchanged
as of this morning at Wikipedia:

"A 3-(16,4,1) block design has 140 blocks of size 4 on 16 points,
such that each triplet of points is covered exactly once. Pick any
single point, take only the 35 blocks containing that point, and
delete that point. The 35 blocks of size 3 that remain comprise
a PG(3,2) on the 15 remaining points."

Exercise —

Prove or disprove the above assertion about a general "3-(16,4,1) 
block design," a structure also known as a Steiner quadruple system
(as I pointed out in the March 5 post).

Relevant literature —

A paper from Helsinki in 2005* says there are more than a million
3-(16,4,1) block designs, of which only one has an automorphism
group of order 322,560. This is the affine 4-space over GF(2),
from which PG(3,2) can be derived using the well-known process
from finite geometry described in the above Wikipedia paragraph.

* "The Steiner quadruple systems of order 16," by Kaski et al.,
   Journal of Combinatorial Theory Series A  
Volume 113, Issue 8, 
   November 2006, pages 1764-1770.

What of the Night?

Filed under: General — Tags: — m759 @ 3:05 AM

Excerpts from Log24 on Feb. 19, 2016:

Wednesday, August 14, 2019

For the Stephen King Institute*

Filed under: General — m759 @ 10:38 PM

* The title refers to The Institute , by Stephen King, a novel
   to be published on September 10, 2019.

Double Veil

Filed under: General — Tags: , , — m759 @ 9:48 PM

"If you want to win, you need to know just one thing and not to waste your time
on anything else: the pleasures of erudition are reserved for losers. The more
a person knows, the more things have gone wrong."

— Eco, Umberto. Numero Zero  (p. 9). HMH Books. Kindle Edition. 

"All this notwithstanding, I dreamed what all losers dream, about one day writing
a book that would bring me fame and fortune. To learn how to become a great
writer, I became what in the last century was called the nègre  (or ghostwriter,
as they say today, to be politically correct) for an author of detective stories who
gave himself an American name to improve sales, like the actors in spaghetti
westerns. But I enjoyed working in the shadows, hidden behind a double veil
(the Other’s and the Other’s other name)."

— Eco, Umberto. Numero Zero  (pp. 9-10). HMH Books. Kindle Edition. 

How's this for a double veil, Umberto?

Boeing/Being Meets the Flying Spaghetti Monster . . .

The Mask of Zero

Filed under: General — Tags: , — m759 @ 12:55 PM

For the title, see Zero: Both Real and Imaginary (a Log24 search).

The title was suggested by the previous post, by Zorro Ranch,
by the classic 1967 film The Producers , and by . . .

Related material —

Vanity Fair  on Sept. 8, 2017, celebrated the young actress
who played Beverly Marsh in the 2017 film version of
Stephen King's IT . See a post from her 12th birthday —
"Winter's Game" — that touches upon Maori themes.

More generally, see Bester + Deceivers in this  journal.

And for the Church of Synchronology . . .
See posts related to the above Vanity Fair  date.

Tuesday, August 13, 2019

Putting the Structure  in Structuralism

Filed under: General — m759 @ 8:34 PM

The Matrix of Lévi-Strauss —

(From his "Structure and Form: Reflections on a Work by Vladimir Propp." 
Translated from a 1960 work in French. It appeared in English as 
Chapter VIII of Structural Anthropology, Volume 2  (U. of Chicago Press, 1976).
Chapter VIII was originally published in Cahiers de l'Institut de Science
Économique Appliquée 
, No. 9 (Series M, No. 7) (Paris: ISEA, March 1960).)

The structure  of the matrix of Lévi-Strauss —

Illustration from Diamond Theory , by Steven H. Cullinane (1976).

The relevant field of mathematics is not Boolean algebra, but rather
Galois geometry.

The E-Girl Chronicles

Filed under: General — Tags: , — m759 @ 2:32 PM

The article below suggests a review of other posts now tagged E-Girls.

From the Terrace*

Filed under: General — m759 @ 1:37 PM

* The title is that of a 1958 novel by John O'Hara.
   See as well other instances of the title in this journal.

The Central Myth

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

Wikipedia on film producer Lorenzo di Bonaventura
(Harvard AB (1980) in Intellectual History*) —

"His tenure at Warner Bros. included discovering and
shepherding The Matrix  into production, and the
purchase of the rights to the Harry Potter  books by 
J. K. Rowling."

From the previous post

"But he enters into the central myth of
this book at another, higher level as well;
for he is an artist, a potter . . . ."

— Wendy Doniger O'Flaherty on 
Claude Lévi-Strauss, author of 
The Jealous Potter

* See as well "What is Intellectual History?" and
   Magic for Liars .

Monday, August 12, 2019


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

See also Dueling Formulas in this  journal.

Never-Ending Toy Story

Filed under: General — Tags: , — m759 @ 1:40 PM

" … this beautiful love story . . . ."

An image from the previous post:

The above line "From the producer of Transformers " suggests
a story from March 18, 2019 . . .

      Misreading the words of di Bonaventura
yields a phrase that might be applied to 
the Church of Rome . . .
     "A franchise based on release dates." 
See dies natalis  in this journal.

     For the Church of Synchronology, see
the above di Bonaventura date, March 18.

     Then there is the Church of Cubism . . .

     "Before time began, there was the Cube."
     — Optimus Prime, Transformers , 2007

Oslo Variations

Filed under: General — Tags: — m759 @ 1:21 AM

An illustration (slightly revised) from All Souls' Day 2010

Click to enlarge.

An illustration from a post of January 11, 2019 —

Advertisement for another January 11, 2019, event —

For related cinematic remarks, see Dabbling in this journal.

Sunday, August 11, 2019

The Culture Desk

Filed under: General — m759 @ 12:28 PM

American Songwriters (the Petrusich versions)

The New Yorker  Culture Desk online yesterday —

The New Yorker  Culture Desk onine July 16 —

Related aesthetic meditation from  this  journal on July 16

(From the post "Schoolgirl Space for Quantum Mystics")

Saturday, August 10, 2019

Schoolgirl Space* Revisited:

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

The Square "Inscape" Model of
the Generalized Quadrangle W(2)

Click image to enlarge.

* The title refers to the role of PG (3,2) in Kirkman's schoolgirl problem.
For some backstory, see my post Anticommuting Dirac Matrices as Skew Lines
and, more generally, posts tagged Dirac and Geometry.

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