Monday, January 20, 2020

Dyadic Harmonic Analysis:

Filed under: General — m759 @ 8:26 PM

The Fourfold Square and Eightfold Cube

Related material:  A Google image search for "field dream" + log24.

Sunday, January 19, 2020

For 6 Prescott Street*

Filed under: General — m759 @ 1:01 PM

"Freshman Seminar Program Department Administrator Corinna S. Rohse
described the program’s courses, which allow students to study subjects
that vary from Sanskrit to the mathematical basis for chess, as
'jewel-like:  small and incredibly well-cut.' "

The Harvard Crimson , Dec. 10, 2008

For remarks related to Sanskrit, chessboard structure, and "jewel-like" 
mathematics, see A Prince of Darkness (Log24, March 28, 2006).

See also Walsh Functions in this journal and

Lecture notes on dyadic harmonic analysis
(Cuernavaca, 2000)

Dr. Maria Cristina Pereyra

Compare and contrast these remarks of Pereyra with the following
remarks, apparently by the same Corinna S. Rohse quoted above.

* Location of the Harvard Freshman Seminar program in the 2008
article above. The building at 6 Prescott was moved there from 
5 Divinity Avenue in 1978. When the seminar program was started
in the fall of 1959, it was located in a house at 8 Prescott St. (In 
1958-1959 this was a freshman dorm, the home of Ted Kaczynski.)

For a Harvard Classmate Who Died on St. Lucia’s Day

Filed under: General — m759 @ 1:01 AM

Richard H. Masland and I were in a Harvard freshman seminar together
in the 1960-61 academic year.  From a Crimson  article on the program

"Freshman Seminar Program Department Administrator Corinna S. Rohse
described the program’s courses, which allow students to study subjects
that vary from Sanskrit to the mathematical basis for chess, as
'jewel-like:  small and incredibly well-cut.' "

This suggests a review of Log24 posts now tagged Four Gates.

Saturday, January 18, 2020


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

"This interplay of necessity and contingency
produces our anxious— and highly pleasurable—
speculation about the future path of the story."

— Michel Chaouli in "How Interactive Can Fiction Be?"
(Critical Inquiry  31, Spring 2005, page 613.)

See also . . .

Nietzsche, 'law in becoming' and 'play in necessity'

Continuing previous Modal Diamond Box posts:

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

Friday, January 17, 2020

September Morn

Filed under: General — Tags: — m759 @ 10:17 PM

Epigraph from Ch. 4 of Design Theory , Vol. I:

"Es is eine alte Geschichte,
 doch bleibt sie immer neu 
 —Heine (Lyrisches Intermezzo  XXXIX)

This epigraph was quoted here earlier on
the morning of September 1, 2011.

Design Theory

Filed under: General — Tags: , — m759 @ 12:57 PM

On a recently deceased professor emeritus of architecture
at Princeton —

"… Maxwell  'established the school as a principal
center of design research, history and theory.' ”

"This is not the Maxwell you're looking for."

Orbits and Stabilizers

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

Sure it does.

See as well, in yesterday's Cornfield post, Plato on
tolerating "the presence of untruth." That not one
of the 29 (as of today) comments on Gowers's post
mentions the above presence of untruth is itself a
comment on the culture of the Academy.

Thursday, January 16, 2020


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

The title is suggested by the word "NowHere" on a map
that I encountered in a personal weblog post tonight.

Related Google search —

Et cetera, et cetera, et cetera.

The Dreaming Jewels of J. R. R. Tolkien

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

See also Silmarils and, in this  journal, The Dreaming Jewels 

A Very Stable Cornfield

Filed under: General — Tags: — m759 @ 3:28 PM

"We show deeper implications of this simple principle,
by establishing a connection with the interplay
of orbits and stabilizers of group actions."

See also Dark Fields , a post featuring a work of philosophy
translated, reportedly, by one "Francis MacDonald Cornfield"

Signs Movie Stills: Mel Gibson, Joaquin Phoenix, Patricia Kalember, M. Night Shyamalan

Tickets for a Square Wheel

Filed under: General — m759 @ 2:01 PM

Pace  Annie Dillard.


Wednesday, January 15, 2020

The Round Square

Filed under: General — m759 @ 11:53 PM

From a link in my RSS feed tonight to the Times Literary Supplement ,
via Aldaily.com

See as well some Log24 posts tagged Circular Rectangle.

Related material:  A passage quoted here on Jan. 28, 2009


Going to dark bed there was a square round Sinbad the Sailor roc's auk's egg in the night of the bed of all the auks of the rocs of Darkinbad the Brightdayler.


Black disc from end of Ch. 17 in Ulysses

— Ulysses, conclusion of Episode 17

Paradigm Shift

Filed under: General — Tags: , — m759 @ 1:33 PM

Sheehan, 'Making Sense of Heidegger,' p. 39

Illustration, from a search in this journal for "Symplectic" —

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

Some background:  Rift-design  in this journal and

The Crimson Passion* Continues

Filed under: General — Tags: — m759 @ 12:13 AM

Related material — Earlier posts now also tagged Uncanny Valley,
esp. Xmas Colors: Green to Red.

* See a  search for Crimson Passion in this  journal.

Tuesday, January 14, 2020

The Finland Station

Filed under: General — m759 @ 6:40 PM

In memory of a film director who reportedly died on Jan. 9 —

"Lenin . . . . was not the man for swans."

— Stevens, "Description Without Place"

For a Black Swan

Filed under: General — m759 @ 4:01 PM

Related material from Stephen King —

— and from Black Swan  author Nassim Nicholas Taleb —

See as well this  journal on the Taleb date:  Feb. 27, 2018 —

Raiders of the Lost Images .

Physics for the Vatican

Filed under: General — Tags: — m759 @ 1:31 PM

From Devil's Night 2019

Woo in Review

Filed under: General — m759 @ 12:12 PM

An article in Scientific American  today suggests a review of posts
now tagged "Euclid vs. Woo" and "Trudeau vs. Euclid."

Monday, January 13, 2020

D8ing Continues

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

For the Church of Synchronology

See as well this journal on the above lecture date:  April 4, 2018,
in other posts now also tagged D8.

Update of 11:22 PM ET Jan. 13, 2020 —

Note the Christmas Eve date, and compare and contrast with the previous post.

All About Eve

Filed under: General — m759 @ 4:17 PM

Or:  Space Station 76  Continues.


See as well this journal on
Christmas  Eve, 2019.

Abandoned Norwegian Space Vessel

Filed under: General — Tags: — m759 @ 12:24 PM

" an abandoned Norwegian space vessel" is a phrase from
a review of the recent film "Ad Astra."

Related material — Bester's "The Stars My Destination."

Book cover (adapted) —

'The Stars My Destination,' current edition (with cover slightly changed)

See also the previous post.

Twenty-Four Quartets

Filed under: General — m759 @ 12:01 PM

For the source of these figures in pure mathematics, see

Hexagram for Day 13

Filed under: General — m759 @ 11:00 AM

Sunday, January 12, 2020

Interconnecting the Meaning Fragments

Filed under: General — Tags: , — m759 @ 10:01 PM

"Meaning fragments" is a phrase from the previous post.

See Wechsler in this journal.

Wechsler blocks (illustrating the 'Blockheads' theme)

Related material —

"the liberation of the plastic elements."


Filed under: General — Tags: — m759 @ 4:40 PM

From this journal on June 25, 2009

“… T. S. Eliot tried to recompose, in Four Quartets,
the fragments he had grieved over in The Waste Land.”

— “Beauty and Desecration,” Roger Scruton  

From this journal this morning

"The spatial conception interconnects the meaning fragments
  and binds them together . . . ."

— S. Giedion, introduction to Language of Vision  by Gyorgy Kepes 

Seeking a Moral

Filed under: General — m759 @ 9:02 AM

From the previous post

Psychiatrist Irvin Yalom on Philip Roth's Exit Ghost ,
in an undated interview published in 2008:

"Philip Roth has got a new book out called Exit Ghost ,
which I find touching. He’s ageing and pursuing the
question of what ageing does to a writer’s skills. I’m
dealing with that myself so that book speaks for me
a great deal."

Related material from October 2, 2007 —

See as well this  journal on the days before and after
the Kakutani review above:

October 1, 2007 — Bright as Magnesium

October 3, 2007 — Janitor Monitor .

Cross of the Stations

Filed under: General — Tags: — m759 @ 7:55 AM

From the previous post

" a single station point for naturalistic representation."

— S. Giedion, introduction to Language of Vision  by Gyorgy Kepes 

    Cf.   The Last Station,  not  The Finland Station.

Plastic Elements

Filed under: General — Tags: , , — m759 @ 7:07 AM

"Step by step, Kepes follows the liberation of the plastic elements:
lines, planes, and colors, and the creation of a world of forms of our own.
The spatial conception interconnects the meaning fragments and
binds them together just as in another period perspective did when it used
a single station point for naturalistic representation."

— S. Giedion, introduction to Language of Vision  by Gyorgy Kepes 

Saturday, January 11, 2020

Mathematical Theology (“Art School Confidential” continues.)

Filed under: General — Tags: , — m759 @ 7:07 PM

Detail of artwork by Josefine Lyche, 2010

Related academic remarks:

Mathematics or Theology?

Filed under: General — m759 @ 10:12 AM

Hersh wrote a paper with a title containing the phrase 
“The Kingdom of Math is Within You.”

In his memory, see Log24 posts from the date of his death
tagged Inner-Space Variations.

Related literature:  Hersh's "Death and Mathematics Poems."

See as well this  journal on the above publication date.

Friday, January 10, 2020

Jan. 9 Review

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

“Work as if you were in the
early days of a better nation.”

— God, according to the author of
    1982 Janine

From Carole A. Holdsworth,
"Dulcinea and Pynchon’s V":

Tanner may have stated it best:

“V. is whatever lights you to
 the end of the street:
 she is also the dark annihilation
 waiting at  the end of the street.”

(Tony Tanner, page 36,
 “V. and V-2,” in
 Pynchon: A Collection
 of Critical Essays.

 Ed. Edward Mendelson.
 Englewood Cliffs, N. J.:
 Prentice-Hall, 1978. 16-55).

She’s a mystery
She’s everything
   a woman should be
Woman in black
   got a hold on me

— Foreigner 4

In Memoriam: Mike Resnick

Filed under: General — m759 @ 10:00 AM

Science fiction author Mike Resnick "died very early today,
January 10, 2020, a little after midnight," his daughter wrote,
according to a Heavy.com article dated "Jan 9, 2020 at 11:07 am."

That date of death accordingly should be "January 9, 2020." 
But perhaps the saying "print the legend" is relevant here. 

For related fiction, see Resnick's The Dark Lady  in this journal

"There was a young lady named Bright
Whose speed was far faster than light;
She set out one day
In a relative way
And returned on the previous night."

[Link added.]

According to quoteinvestigator.com, this is from the
December 19, 1923, Punch, or The London Charivari ,
Volume 165, "Relativity" (Limerick), page 591, column 1.

The Lotos Rose

Filed under: General — Tags: , , — m759 @ 12:01 AM

See the title in this journal.

Thursday, January 9, 2020

Universal History (Adapted)

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

"One of the more fortuitous encounters of late-20th-century popular culture —
almost up there with Lennon meets McCartney and Taylor meets Burton —
took place on Labor Day 1965, at Jane Fonda’s Malibu beach house. The
actress was hosting a daylong bash at which her father, Henry’s,
generation mingled uneasily with her Hollywood hippie friends. The Byrds
played in the backyard. A young comedian-turned-film director named Mike
Nichols was approached by an improv comic-turned-itinerant writer named
Buck Henry, who asked how he was doing. Nichols dourly looked around
at all the proto-Summer of Love vibes and said, 'Here, under the shadow
of the great tree, I have found peace.'

Henry immediately recognized a sardonic East Coast kindred spirit trapped
in Lotusland . . . ."

—  Ty Burr,  Boston Globe  staff, January 9, 2020, 10:34 AM

Adapt or Die

Filed under: General — Tags: , , — m759 @ 11:53 AM

For Hollywood


For Emily Yahr (see second item above) —

Buck Henry reportedly died yesterday, January 8, 2020.
This journal on that date a year earlier —

Wednesday, January 8, 2020

Toronto Word Problem

Filed under: General — m759 @ 8:21 PM

The phrase "funk to a reality" in the previous post suggests

For the Toronto Star

"Dissecting a passage of text in a language other than one's
native language is a daunting task and requires a strategy.
When dissecting mathematical language, readers are faced
with the same challenges, whether the mathematics is in
the form of an equation or in the form of a word problem." 

— https://www.jstor.org/stable/20876351

The problem, in this case, is with the word "functoriality."

The solution:  See the following article.


Funk to a Reality

Filed under: General — m759 @ 11:15 AM

Tuesday, January 7, 2020

Evening of the Iguana

Filed under: General — m759 @ 7:42 PM

Art notes —

See also the "Night of the Iguana" logo by Saul Bass,
a student of Gyorgy Kepes.

Postscript for synchronologists — 

See this  journal on that date:  Nov. 6, 2011.

Golden Globe

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

From the cover of 
Vanity Fair,  issue 641:

See as well
Post  641 and
Green and Red.

Invisible Weaving

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

See as well a post from this journal on the above date
June 12, 2014. (That post revisits a post from today's  date —
January 7 — eight years ago, in 2012.)

Related material:  Dharma Fabric and Symplectic.

Dharma Fabric

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

Lines from "Description Without Place" —

"An age is green or red. An age believes

Or it denies. An age is solitude
Or a barricade against the singular man

By the incalculably plural."

— Wallace Stevens

Monday, January 6, 2020

Art for Optimus Prime

Filed under: General — Tags: — m759 @ 8:35 PM

A 2020 Manifesto

Filed under: General — Tags: — m759 @ 1:33 PM

Art as Experience (Minus Baldessari)

Filed under: General — Tags: — m759 @ 12:36 PM

In memory of an artist who reportedly died in Venice, CA, on Jan. 2 —

Two quotes from the website Quotes Sayings

"I always felt like I was right out of Dickens, looking in the window
of the Christmas feast, but not at the feast." — John Baldessari

IS A DEAD EXPERIENCE" — John Baldessari

The "dead experience" quote is actually from Gyorgy Kepes:

Sunday, January 5, 2020

Dog Art

Filed under: General — m759 @ 12:47 PM


Related material — http://m759.net/wordpress/?s=Ghost+Dog

The Vulgate of Experience

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

"The eye’s plain version is a thing apart,
The vulgate of experience."

— Wallace Stevens, opening lines of
"An Ordinary Evening in New Haven"

Real  architectural detail from a New Year's
Netflix fiction

Click for context.

See as well a similar architectural detail in
a Log24 post of June 21, 2010.

Saturday, January 4, 2020

Welcome to the Uncanny Valley Country Club

Filed under: General — Tags: — m759 @ 12:44 PM

The previous post  suggests a look at some Robot Apocalypse  remarks:

Related material —

This  journal on the above Stranger Dimensions date —

"Thus the theory of description matters most. 
It is the theory of the word for those 

For whom the word is the making of the world…." 

— Wallace Stevens, "Description Without Place, VII"

See also Finite Relativity (St. Cecilia's Day, 2012).

Some other lines from "Description Without Place" —

"An age is green or red. An age believes

Or it denies. An age is solitude
Or a barricade against the singular man

By the incalculably plural."

Xmas Colors: Green to Red

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

The above story from Salon.com this morning suggests 
a Salon.com Christmas review :

Spectral Valhalla

Filed under: General — m759 @ 10:27 AM

See posts now so tagged.

Friday, January 3, 2020

Valhalla Requiem

Filed under: General — Tags: , , — m759 @ 9:59 PM

See also this  journal on Monday, the day of Kupfer's reported death


Spectral Woo

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

 " during that spell between the feasts of Christmas and Epiphany
when ghosts and specters are supposed to be abroad . . . ."

Heinrich Zimmer on  Sir Gawain and the Green Knight

Times Literary Supplement , January 3, 2020

Sciences | Book Review

The world is not enough:
Guessing at the game God is playing

By Samuel Graydon

See as well

Thursday, January 2, 2020


Filed under: General — Tags: — m759 @ 8:25 PM

Structure of the eightfold cube

Nada for Hemingway

Filed under: General — Tags: , — m759 @ 11:47 AM

See Nada + Hemingway  in this journal.

'Inner Space' YouTube upload on March 15, 2014

The above upload date suggests a look at 
other posts now tagged Red to Green.

Wednesday, January 1, 2020


Filed under: General — Tags: — m759 @ 11:30 PM
"We learned so much
about singing from each other
because you get to sort of
be them for a second
when you're shadowing
them in harmony.
It's like getting on an eagle
and getting to see the world
through that eagle's experience."

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

See also Aguila de Oro.

Le Mot Juste

Filed under: General — Tags: — m759 @ 3:23 PM

Related art

Exploring Inner Space* at The New York Times

Filed under: General — Tags: — m759 @ 11:35 AM

From Corrections: Jan. 1, 2020

The astronomy article, by Dennis Overbye, is dated Dec. 23* (a Monday).

The above reference to "Tuesday" is explained by the fine print
at the bottom of the Science Times  article — "A version of this article
appears in print on [Tuesday] , Section D, Page 6 of the
New York edition with the headline: In Battle of Giant Telescopes,
Outlook for the U.S. Dims." 

From the article as quoted on Thursday, Dec. 26,  
at https://uclafacultyassociation.blogspot.com

"Now, as the wheels of the academic and government bureaucracy begin to turn, many American astronomers worry that they are following in the footsteps of their physicist colleagues. In 1993, Congress canceled the Superconducting Super Collider, and the United States ceded the exploration of inner space to Europe and CERN, which built the Large Hadron Collider, 27 miles in diameter, where the long-sought Higgs boson was eventually discovered.

The United States no longer builds particle accelerators. There could come a day, soon, when Americans no longer build giant telescopes. That would be a crushing disappointment to a handful of curious humans stuck on Earth, thirsting for cosmic grandeur. In outer space, nobody can hear you cry."

Source: https://www.nytimes.com/2019/12/23/science/telescopes-magellan-hawaii-astronomy.html

Related material from this  journal on April 2, 2019 —

Cover design by Greg Stadnyk, available in an animated gif.

* See also this  journal on Dec. 23.

A Hexagram for Pauli*

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

I Ching box symbol

Pictorial version
of Hexagram 20,
Contemplation  (View)

* See Pauli in the Dec. 30
post Number and Time.

Tuesday, December 31, 2019

New Year’s Eve at the Star Wars Bar

Filed under: General — m759 @ 1:36 PM

"This is not the Himmelfarb you're looking for."

Obi-Wan Kenobi

Happy New Year from Peter J. Cameron

Filed under: General — Tags: — m759 @ 11:41 AM

From an earlier A.P. obituary for Mehta —

" When the Center for Fiction honored Mehta in 2018 with a 
lifetime achievement award, tributes were written by Joan Didion,
Haruki Murakami and Anne Tyler, who praised 'his precision' and
'deft assurance' and called him the 'Fred Astaire of editing.' "

Heraldic Ordinary

Filed under: General — Tags: — m759 @ 11:06 AM

Monday, December 30, 2019

“Welcome to Scotland.”

Filed under: General — Tags: — m759 @ 11:04 AM

John Brown, Astronomer Royal for Scotland,
reportedly died there in the early morning
of Saturday, November 16, 2019.

See also Alasdair Gray and Eddington Song
in particular, Logic in the Spielfeld.

Death on Becket’s Day

Filed under: General — Tags: , — m759 @ 10:22 AM

Author Alasdair Gray reportedly died yesterday,
on the feast of St. Thomas à Becket.

"His Collected Verse  (2010) was followed by 
Every Short Story 1951-2012 . Hell and Purgatory ,
the first two parts of his version of Dante’s
Divine Comedy , “decorated and Englished in
prosaic verse”, appeared in 2018 and 2019. 
In November Gray received the inaugural 
Saltire Society Scottish Lifetime Achievement award."

— https://www.theguardian.com/books/2019/dec/29/

See some related remarks from May 15, 1998.

Number and Time

Filed under: General — Tags: , — m759 @ 9:37 AM

(Hat tip for the title to Marie-Louise von Franz.)

Remarks by Metod Saniga from the previous post

Remarks by Wolfgang Pauli, a friend of von Franz

"This is to show the world that I can paint like Titian.
[Empty frame with jagged sides]. Only technical details
are missing."
— As quoted at Derevianko Group.

Related material (see Oct. 11, 2010) —


Sunday, December 29, 2019

Springer Link

Filed under: General — Tags: , , — m759 @ 5:08 PM

Related reading

"I closed my eyes and saw the number 137—
so very close to the reciprocal of alpha—
on the chest of the runner in Van Cortlandt Park.
Should I start the story there? "

— Alpert, Mark.  Saint Joan of New York
(Science and Fiction) (p. 103).
Springer International Publishing. Kindle edition. 

Cover detail:

See as well St. Joan in this  journal.

Morning of the Iguana

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

Adam Gopnik in The New Yorker  this morning

" mysteriously durable manner of mythical depiction,
which runs forward to Egyptian wall paintings and,
for that matter, to modern animation. Therianthropes,
it seems, reflect the symbolic practice of giving to
humans the powers of animals, a shamanistic rite
that seems tied to the origins of religion, and here it is,
for the first time, a startup.

 one of the human figures, we’re told, has
'a tapering profile that possibly merges into the base
of a thick tail and with short, curved limbs splayed out
to the side. In our opinion, this part of the body resembles
the lower half of a lizard or crocodile. …' "

Related art

Logo by Saul Bass.

Hi, Ho

Filed under: General — Tags: — m759 @ 8:50 AM

Articulation Raid

Filed under: General — Tags: — m759 @ 7:45 AM

“… And so each venture Is a new beginning,
a raid on the inarticulate….”

— T. S. Eliot, “East Coker V” in Four Quartets

arXiv:1409.5691v1 [math.CO]  17 Sep 2014

The Complement of Binary Klein Quadric as
a Combinatorial Grassmannian

Metod Saniga,
Institute for Discrete Mathematics and Geometry,
Vienna University of Technology,
Wiedner Hauptstraße 8–10, A-1040 Vienna, Austria
(metod.saniga@tuwien.ac.at) and
Astronomical Institute, Slovak Academy of Sciences,
SK-05960 Tatransk ́a Lomnica, Slovak Republic


Given a hyperbolic quadric of PG(5, 2), there are 28 points off this quadric and 56 lines skew to it. It is shown that the (286,563)-configuration formed by these points and lines is isomorphic to the combinatorial Grassmannian of type G2(8). It is also pointed out that a set of seven points of G2(8) whose labels share a mark corresponds to a Conwell heptad of PG(5, 2). Gradual removal of Conwell heptads from the (286,563)-configuration yields a nested sequence of binomial configurations identical with part of that found to be associated with Cayley-Dickson algebras (arXiv:1405.6888).


Combinatorial Grassmannian −
Binary Klein Quadric − Conwell Heptad

See also this  journal on the above date — 17 September 2014.

Saturday, December 28, 2019

Caballo Blanco

Filed under: General — Tags: , — m759 @ 9:02 AM

The key  is the cocktail that begins the proceedings.”

– Brian Harley, Mate in Two Moves


"Just as these lines that merge to form a key
Are as chess squares . . . ." — Katherine Neville, The Eight

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

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

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

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

Friday, December 27, 2019

Showbiz Requiems

Filed under: General — Tags: , — m759 @ 11:41 PM


The Secret Life of Mark Alpert

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

Booklist on Final Theory :

"Alpert, an editor for Scientific American , laces his high-IQ
doomsday thriller with clearly explicated and hauntingly beautiful
scientific theories…."

Booklist on The Omega Theory

"Alpert’s follow-up to his acclaimed first novel, Final Theory  (2008),
continues the adventures of science historian David Swift."

See as well this  journal on June 1, 2008.

God in the Object…

Filed under: General — Tags: — m759 @ 7:55 AM

. . . Pace  Wallace Stevens.

"The history of the universe can thus be seen as
an endless chain of changes, but Aquinas argued
that there must be some transcendent entity that
initiated the chain, something that is itself
unchanging and that already possesses all of the
properties that worldly objects can come to possess.
He also claimed that this entity must be eternal;
because it is the root of all causes, nothing else
could’ve caused it. And unlike all worldly objects,
the transcendent entity is necessary—it must  exist."

— Mark Alpert in Scientific American, 12/23/2019

Thursday, December 26, 2019

In Memoriam: Nick Tosches

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

Wednesday, December 25, 2019

O Found

Filed under: General — m759 @ 10:31 AM

Hat tip to University Diaries  for today's link to

O Lost   (Thomas Wolfe in The Paris Review , Winter 1999).

See as well —

Tuesday, December 24, 2019

Stille Nacht

Filed under: General — Tags: , — m759 @ 11:55 PM

Later in the film "He's not Einstein You're  Einstein."

Related material at the University of Iowa —

See as well this  journal on the above Daily Iowan  date.

Lucy Noir …

Filed under: General — Tags: , — m759 @ 10:21 AM

… Continued from August 26

Heidegger, "Hölderlin and the Essence of Poetry,"
translated by Douglas Scott, in Existence and Being  ,
Regnery, 1949, pp. 291-316—

IMAGE- Page 304 of Heidegger's 'Existence and Being' - Heidegger's essay 'Hölderlin and the Essence of Poetry,' tr. by Douglas Scott, publ. by Henry Regnery Company, Chicago, in 1949

See as well Readings for St. Patrick's Day, March 17, 2005.

Monday, December 23, 2019


Filed under: General — Tags: , — m759 @ 7:34 PM

"December 22, the birth anniversary of India’s famed mathematician
Srinivasa Ramanujan, is celebrated as National Mathematics Day."
Indian Express  yesterday

"Orbits and stabilizers are closely related." — Wikipedia

Symmetries by Plato and R. T. Curtis —

Counting symmetries with the orbit-stabilizer theorem

In the above, 322,560 is the order 
of the octad stabilizer group .


Filed under: General — Tags: , , — m759 @ 8:16 AM

See as well the previous post and Pacific Science Institute.

Sunday, December 22, 2019

Spaceheads… For Stephen King’s Institute

Filed under: General — m759 @ 11:34 PM

M24 from the Eightfold Cube

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

Exercise:  Use the Guitart 7-cycles below to relate the 56 triples
in an 8-set (such as the eightfold cube) to the 56 triangles in
a well-known Klein-quartic hyperbolic-plane tiling. Then use
the correspondence of the triples with the 56 spreads of PG(3,2)
to construct M24.

Click image below to download a Guitart PowerPoint presentation.

See as well earlier posts also tagged Triangles, Spreads, Mathieu.

Saturday, December 21, 2019

Last of the God Professors

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

From some autobiographical remarks by Simon During,
who was featured in the previous post

For more on the phrase "god professor," see

"The Ownership of Knowledge in Higher Education
in Australia 1939-1996
," Hannah Forsyth, Ph.D. thesis,
University of Sydney, 2012

Simon During at Utrecht earlier this year —

For the Church of Synchronology, other April 11, 2019, remarks —

See in particular the phrase "Eritis sicut dei " in the Log24 remarks.

Melbourne Noir Continues

Filed under: General — m759 @ 1:13 AM

The previous post's link to posts tagged March 8, 2018,
suggests a look at recent thoughts by a Melbourne academic:

Manifesto in Green and Red

Friday, December 20, 2019

Identity Theory*

Filed under: General — Tags: — m759 @ 1:56 AM

The van Dam cited by Polster should not be confused
with the fictional   Vandamm of "North by Northwest."

See Pursued by a Biplane (Log24, May 23, 2017).

* For the title, see posts tagged March 8, 2018.

Triangles, Spreads, Mathieu…

Filed under: General — Tags: — m759 @ 1:38 AM


An addendum for the post "Triangles, Spreads, Mathieu" of Oct. 29:

Thursday, December 19, 2019

The Black Swan

Filed under: General — m759 @ 11:55 PM

See also Black Swan in this journal.

In the Game

Filed under: General — Tags: — m759 @ 11:55 AM

From a post of April 24, 2010 —

Image— Miles Davis ESP album


Alicia Keys


Related literature —

Product 19

Filed under: General — m759 @ 2:48 AM


Tuesday, December 17, 2019

A Singular Eye

Filed under: General — Tags: , — m759 @ 8:08 PM

Photographer Key Heyman, 89, dies

Cover design by Will Staehle.

Heyman reportedly died on Dec. 10, 2019.
See this  journal  on that date.

Picturing Aitchison’s Mathieu Generators

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

Click to enlarge.

Monday, December 16, 2019


Filed under: General — Tags: — m759 @ 10:38 PM

New Yorker  art critic Peter Schjeldahl 
as quoted today by Margaret Soltan

Unlike computers. See ReactiveX and Observable.

Writer’s Block

Filed under: General — Tags: — m759 @ 12:43 PM

Frindle, Helen. The Sentient Shield .
Austin Macauley Publishers Ltd., Kindle edition. 

“But why, I am not aware or can’t remember anything; previous lives, contracts, whatever.”

“Perhaps not, but the block has been removed. As I understand blocks are placed because the person would not be able to cope with the information of their past life, or lives, or experiences that may have been so terrible. It seems however that what is happening is that you are now needed to wake up and remember and that is why the block has been removed.”

“Wake up. I don’t understand. I am sorry, I keep repeating myself but I don’t understand!”

Maddy shook her herself and went quiet, she thought perhaps she needed to listen to Pam.

“At this present time no, but it has been removed and you will begin to become, let’s say, more aware and remember.”

“Remember what, here I go again, it seems like a riddle to me and I am beginning to feel very odd, in fact even a little frightened. It seems as if we are venturing into things that are rather supernatural.”

Amen. See also The Crosswicks Curse.

Design Notes Dec. 11

Filed under: General — Tags: — m759 @ 3:01 AM

From The New York Times on Dec. 11 —

See also some other posts in this  journal now tagged "Design Notes Dec. 11."

What’s New

Filed under: General — m759 @ 2:00 AM

Sunday, December 15, 2019

Conversation Piece

Filed under: General — Tags: — m759 @ 6:32 PM

For Harlan Kane* — The Frindle Kindle

Filed under: General — Tags: — m759 @ 5:37 PM

"Thus the nature of reality comes into question…."

— Frindle, Helen. The Sentient Shield , author's preface.
Austin Macauley Publishers Ltd. Kindle edition.
Published on December 11, 2018:


This  journal on December 11, 2018 —

Etymology of 'profane'

* See as well other references to Harlan Kane in this journal.

Saturday, December 14, 2019

Colorful Tale

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


Four-color correspondence in an eightfold array (eightfold cube unfolded)

The above image is from 

"A Four-Color Theorem:
Function Decomposition Over a Finite Field,"

These partitions of an 8-set into four 2-sets
occur also in Wednesday night's post
Miracle Octad Generator Structure.

This  post was suggested by a Daily News
story from August 8, 2011, and by a Log24
post from that same date, "Organizing the
Mine Workers
" —


Friday, December 13, 2019

History at Sleepy Hollow

Filed under: General — m759 @ 11:38 PM

See also Riddle (April 21, 2003).

High-Level Language

Filed under: General — m759 @ 5:14 PM

Database Requiem

Filed under: General — Tags: — m759 @ 3:19 PM

Apollo’s 13 Revisited

Filed under: General — Tags: — m759 @ 12:59 AM

IMAGE- The 13 symmetry axes of the cube

(Adapted from Encyclopaedia Britannica,
 Eleventh Edition (1911), Crystallography .)

Thursday, December 12, 2019

Yoda, Baby

Filed under: General — Tags: — m759 @ 3:47 PM

Spielberg, A.I., and Robot Wisdom

Wednesday, December 11, 2019

Miracle Octad Generator Structure

Filed under: General — Tags: — m759 @ 11:44 PM

Miracle Octad Generator — Analysis of Structure

(Adapted from Eightfold Geometry, a note of April 28, 2010.
  See also the recent post Geometry of 6 and 8.)


Filed under: General — Tags: — m759 @ 11:26 AM

The Seagram Case

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

From a search in this journal for Seagram

A Seagram 'colorful tale'

Klein Quadric

Filed under: General — Tags: , — m759 @ 1:06 AM

The architecture of the recent post 
Geometry of 6 and 8 is in part
a reference to the Klein quadric.

Tuesday, December 10, 2019

Eternal Color

Filed under: General — Tags: , , — m759 @ 7:34 PM

For the above title, see posts tagged Eternal Color.

From this evening's online New York Times

Related imaterial —

A scene from the film of the above book —

Monday, December 9, 2019

Self or Soul?

Filed under: General — m759 @ 10:48 PM


Timestamp Converter
Is equivalent to:
11/27/2019 @ 5:08pm (UTC)

"In This Is All:
Memory, Meaning, and the Self

By Jim Holt

Related material: This  journal on the above date — 11/27/2019.

Plan 9 from Deep Space

Filed under: General — m759 @ 9:00 PM

A search for "deep space" in this journal yields
the following meditation:

Alfred Bester, Tiger! Tiger!:

Gully Foyle is my name
And Terra is my nation
Deep space is my dwelling place
The stars my destination

Carter Lumber

Filed under: General — m759 @ 2:01 PM

In Memoriam:

See also, from posts now tagged Abyssus, a quote from Simone Weil —

"Adam and Eve sought for divinity in vital energy —
in a tree, a fruit. But it is prepared for us on some
dead wood, geometrically squared, upon which
hangs a corpse."

Lost in Translation

Filed under: General — Tags: — m759 @ 12:26 PM

See as well hypokeimenon  in this journal.

Sunday, December 8, 2019

Geometry of 6 and 8

Filed under: General — Tags: , — m759 @ 4:03 AM

Just as
the finite space PG(3,2) is
the geometry of the 6-set, so is
the finite space PG(5,2)
the geometry of the 8-set.*


* Consider, for the 6-set, the 32
(16, modulo complementation)
0-, 2-, 4-, and 6-subsets,
and, for the 8-set, the 128
(64, modulo complementation)
0-, 2-, 4-, 6-, and 8-subsets.

Update of 11:02 AM ET the same day:

See also Eightfold Geometry, a note from 2010.

Saturday, December 7, 2019

Canonicity* Illustrated: The Offensive Tet

Filed under: General — m759 @ 8:56 PM

* "Canonicity" is a reference to the previous post.
See as well Tetrahedron vs. Square and Algebra for Schoolgirls.


Filed under: General — m759 @ 12:55 PM


Note the "Milestones" date of receipt 25 January 2012.

This  journal on the eve of the above "Milestones" date —

Mathematical Review

Filed under: General — m759 @ 1:33 AM

Related material: The song "Underneath the Arches" in
a post of December 1, 2019, and . . .

Friday, December 6, 2019

November Seventh Death

Filed under: General — Tags: — m759 @ 5:47 PM

See as well some notes from the date of the above death:

Related material: Endgame (November 7, 1986).

Cezanne’s Greetings

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

David Corfield on "Aesthetic Theory and Artistic Practice" —

" British naturalism of the nineteenth century is seen to be
based on a theory of art whose origin lies in eighteenth century
philosophy. Collingwood believes this to be a false theory,
as first made clear artistically by Cezanne. Note also that
Collingwood should feel the need to depart from abstract
argument to include the case study.

Exercise: with minimal changes make the above true for
the philosophy of mathematics. Once done, we see how
we should expect to find a philosophy of mathematics
in each mathematician, even if it only functions implicitly.
See Philosophy as Normative or Descriptive.

Last revised on July 12, 2010 at 11:02:44."

See as well some philosophical remarks by the late
William J. Richardson, S.J., quoted here  on July 12, 2010.

For Saint Nicholas

Filed under: General — Tags: — m759 @ 12:44 AM

In memory of William J. Richardson, S.J., who reportedly
died at 97 on 10 December 2016

This journal on that date

Thursday, December 5, 2019

The Fontana Arches

Filed under: General — Tags: — m759 @ 4:17 PM

(For Harlan Kane)

See also earlier posts tagged The Fontana Arches.

Wednesday, December 4, 2019


Filed under: General — Tags: , , — m759 @ 7:18 PM

(See the title in this journal.)

Also on the above YouTube date — July 12, 2010 —


In Memoriam

Filed under: General — Tags: , , — m759 @ 12:35 PM

Also on the above date — October 28, 2013 —

Nicht Spielerei

Filed under: General — Tags: , — m759 @ 10:22 AM

(See the title in earlier posts.)

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