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 — Tags: — 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 — Tags: — 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 — Tags: — 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.)

Monday, December 2, 2019

“Show me all  the blueprints.”

Filed under: General — Tags: , — m759 @ 11:32 PM

Aesthetics at Harvard

Filed under: General — Tags: , , , — m759 @ 4:05 PM

"What the piece of art is about is the gray space in the middle."

— David Bowie, as quoted in the above Crimson  piece.

Bowie's "gray space" is the space between the art and the beholder.

I prefer the gray space in the following figure —

Some small Galois spaces (the Cullinane models)

Context:  The Trinity Stone  (Log24, June 4, 2018).

Gray Space

Filed under: General — Tags: , — m759 @ 3:00 PM

See as well a search for Gray Space in this journal.

Related material:  The Schwartz Omega .

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

— Richard Evan Schwartz

D8: The Black Queen’s Square

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

The previous post quoted some dialogue from Victor Hugo's
novel about the French Revolution, Ninety-Three.

This suggests a look at the following non-fiction book:

Compare and contrast with the novel The Eight , by Katherine Neville,
about chess and the French Revolution.

Neville's birthday, April 4, plays a major role in her novel. The dies natalis 
(in the Roman Catholic sense) of the above Birth of the Chess Queen 
author, on the other hand, was reportedly November 20, 2019.

Following a link in this journal from November 20 leads to remarks 
that might interest the subjects of an upcoming film, "The Two Popes."

Sunday, December 1, 2019


Filed under: General — Tags: , — m759 @ 10:09 PM

Space Song

Filed under: General — Tags: , — m759 @ 1:50 PM

From this journal on the above date — April 13, 2014 (Gray Space) —

Review of Seeing Gray , a book by pastor Adam Hamilton
of the United Methodist Church of the Resurrection
in Leawood, Kansas, a suburb of Kansas City—

“Adam Hamilton invites us to soulful gray space
between polarities, glorious gray space that is holy,
mysterious, complex, and true. Let us find within
our spirits the courage and humility to live and learn
in this faithful space, to see gray, to discern a more
excellent way.”

—Review by United Methodist Bishop Hope Morgan Ward

The above flashback was suggested by CBS Sunday Morning today —

See also Romanesque in this journal.

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