Saturday, September 22, 2018

Minimalist Configuration

Filed under: Uncategorized — m759 @ 11:03 PM

From the previous post

From Wikipedia

From Log24

The Venturi Manifesto

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

Venturi reportedly died on Tuesday, September 18.*

See also this journal on that date.

* Fact check:

Symmetric Generation, by Curtis

Filed under: Uncategorized — Tags: — m759 @ 10:15 AM

Norwegian artist Josefine Lyche —

Lyche's shirt honors the late Kurt Cobain.

"Here we are now, entertain us."

Symmetric Generation, by Netflix

Filed under: Uncategorized — Tags: — m759 @ 5:05 AM

Suggested by the previous post . . .

'Out of nothing' opening of 'Maniac' at Netflix

"The pattern is the pattern."

Friday, September 21, 2018

Symmetric Generation, by Nao

Filed under: Uncategorized — Tags: — m759 @ 1:30 PM

"The creation of a new world
        starts now.
Once again I am tied
        to the logic of this

Bill Murray and Scarlett Johansson in 'Lost in Translation'


Filed under: Uncategorized — Tags: — m759 @ 4:36 AM

Thursday, September 20, 2018

Clash of the Titans

Filed under: Uncategorized — Tags: , — m759 @ 6:18 PM

1971 Mystery Box

Filed under: Uncategorized — m759 @ 8:15 AM

Vincent Canby in The New York Times 
January 28, 1971, reviews the film "The Statue" —

There is not much point in going into the dialogue,
but you'll get the idea from the line spoken by
a little girl who is shown gazing in wonderment
at the copy of Michelangelo's work in the
Piazza della Signoria in Florence.
"Golly," she says, "if that's David, I'd like to see Goliath!"
"The Statue" may have the distinction of being the first
adolescent comedy about penis envy. 

In keeping with filmmaker J.J. Abrams's philosophy of the "mystery box"

Canby's phrase "you'll get the idea" suggests a Log24 review . . .


Wednesday, September 19, 2018

Speaking of Strange Tales …

Filed under: Uncategorized — Tags: — m759 @ 9:33 AM


In Memoriam:

Filed under: Uncategorized — Tags: — m759 @ 8:49 AM

Denis Mostyn Norden, writer, broadcaster and television presenter,
born 6 February 1922; died 19 September 2018.



For Abraham Warburg —


"Que cantaba el Rey David."


Filed under: Uncategorized — Tags: — m759 @ 6:45 AM


See also Watchmen in this journal.

Tuesday, September 18, 2018

Death Day

Filed under: Uncategorized — Tags: — m759 @ 11:20 PM

"Birthday, death-day — what day is not both?" — Updike




Monday, September 17, 2018

For Wakanda

Filed under: Uncategorized — m759 @ 9:00 PM


The 123 Configurations

Filed under: Uncategorized — m759 @ 8:35 AM



Lying at the Axis

Filed under: Uncategorized — m759 @ 12:00 AM

Or:  Zero Dark Zero

" Lying at the axis of everything, zero is both real and imaginary. Lovelace was fascinated by zero; as was Gottfried Leibniz, for whom, like mathematics itself, it had a spiritual dimension. It was this that let him to imagine the binary numbers that now lie at the heart of computers: 'the creation of all things out of nothing through God's omnipotence, it might be said that nothing is a better analogy to, or even demonstration of such creation than the origin of numbers as here represented, using only unity and zero or nothing.' He also wrote, 'The imaginary number is a fine and wonderful recourse of the divine spirit, almost an amphibian between being and nonbeing.' "

— A footnote from page 229 of Sydney Padua's
    April 21, 2015, book on Lovelace and Babbage

Sunday, September 16, 2018


Filed under: Uncategorized — m759 @ 11:05 PM
<h1 id="top">
Bacow Heads to Home State of Michigan 
In Quest to Fix Harvard’s Image Problem

<div class="article-byline" style="display: none;">
By <a href='/writer/1213317/Kristine_E._Guillaume/'>
Kristine E. Guillaume</a> 
and <a href='/writer/1213264/Jamie_D._Halper/'>
Jamie D. Halper</a>, 
Crimson Staff Writers

<time class="article-date"
   title="Updated September 16, 2018 at 11:04p.m.">
   September 16, 2018

Husserl for Beginners

Filed under: Uncategorized — m759 @ 10:31 PM


See also Trivial + Affine and Eidetic Reduction.

Frames Per Second

Filed under: Uncategorized — m759 @ 12:00 AM

See the previous post and "Frames Per Second."

Saturday, September 15, 2018

Sick Framing

Filed under: Uncategorized — m759 @ 11:00 PM


Satire on Saturday Night

Filed under: Uncategorized — m759 @ 10:00 PM


See as well some other  remarks from March 28, 2014.

Ig Nobel “One Plus One”

Filed under: Uncategorized — m759 @ 1:42 PM


Jean-Luc Godard in this journal on Thursday

"I perceived . . . cinema is that which is between things,
not things [themselves] but between one and another."

Also on Thursday —

"Scientific luminaries gathered at Harvard University’s
historic Sanders Theatre  on Thursday to honor
notable achievements this year…. It was the
28th First Annual Ig Nobel Prize Ceremony …."



Filed under: Uncategorized — m759 @ 9:50 AM

Tieszen— 'Kurt Godel and Phenomenology' — 1992

Update of 10:18 AM the same day —

See also Logicomix  in this  journal and, at Harvard,


  • September 6, 2018:  Eric Maskin, Amartya Sen and I
    are giving a course this semester: 'Axiomatic Reasoning'
    (PHIL 273B). Introduction to Axiomatic Reasoning gives a
    general sense of what we intend to cover.

Update of 10:48 AM the same day —


See Log24 on the date of Tieszen's death.

Eidetic Reduction in Geometry

Filed under: Uncategorized — Tags: , — m759 @ 1:23 AM

"Husser! is not the greatest philosopher of all times.
He is the greatest philosopher since Leibniz."

Kurt Gödel as quoted by Gian-Carlo Rota

Some results from a Google search —

Eidetic reduction | philosophy | Britannica.com

Eidetic reduction, in phenomenology, a method by which the philosopher moves from the consciousness of individual and concrete objects to the transempirical realm of pure essences and thus achieves an intuition of the eidos (Greek: “shape”) of a thing—i.e., of what it is in its invariable and essential structure, apart …

Phenomenology Online » Eidetic Reduction

The eidetic reduction: eidos. Method: Bracket all incidental meaning and ask: what are some of the possible invariate aspects of this experience? The research …

Eidetic reduction – New World Encyclopedia

Sep 19, 2017 – Eidetic reduction is a technique in Husserlian phenomenology, used to identify the essential components of the given phenomenon or experience.

Terminology: Eidos

For example —

The reduction of two-colorings and four-colorings of a square or cubic
array of subsquares or subcubes to lines, sets of lines, cuts, or sets of
cuts between the subsquares or subcubes.

See the diamond theorem and the eightfold cube.

* Cf. posts tagged Interality and Interstice.

Friday, September 14, 2018

Warburg at Cornell, Continued

Filed under: Uncategorized — Tags: — m759 @ 9:29 AM

Warburg at Cornell U. Press

See also Epiphany 2017 —


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


I Ching Geometry search result

Underlying the I Ching  structure  is the finite affine space
of six dimensions over the Galois field with two elements.

In this field,  "1 + 1 = 0,"  as noted here Wednesday.

See also other posts now tagged  Interstice.


Thursday, September 13, 2018

Iconology of the Interstice

Filed under: Uncategorized — Tags: — m759 @ 6:25 AM

The title is from the 2013 paper by Latsis in the previous post.


The symmetries of the interstices at right underlie
the symmetries of the images at left.

Godard and Interality

Filed under: Uncategorized — Tags: , — m759 @ 12:14 AM

The previous post, "One Plus One," suggests some further
art-historical remarks on interality

From Third Text , 2013, Vol. 27, No. 6, pp. 774–785 —

"Genealogy of the Image in Histoire(s) du Cinéma : Godard, Warburg and the Iconology of the Interstice"

By Dimitrios S. Latsis

* * * * P. 775

My discussion will focus on the significance of the concept of the ‘space in-between,’ its importance for Godard’s work and its role in a relational historiography of images more broadly. I hope to corroborate how Godard functions as a twenty-first century archaeologist of the moving image, constructing a meta-cinematic collage that, while consisting of an indexing of (almost exclusively) pre-existing filmic samples, ends up becoming a hybrid work of art in its own right. Godard, in the final analysis, expands the Warburgian programme of iconology into that of a cinematographic iconology of the interstice.

* * * * P. 777

Godard conceives of the image only in the plural, in the intermediate space between two images, be it a prolonged one (in  Histoire(s)  there are frequent instances of black screens) or a non-existent one (superimposition, co-presence of two images on screen). He comments: ‘[For me] it’s always two, begin by showing two images rather than one, that’s what I call image, the one made up of two’ [18] and elsewhere, ‘I perceived . . . cinema is that which is between things, not things [themselves] but between one and another.’ [19]

18. Jean-Luc Godard and Youssef Ishaghpour, "Archéologie du cinéma et mémoire du siècle," Farrago ,Tours, 2000, p. 27. The title of this work is reflective of the Godardian agenda that permeates Histoire(s) .

19. Jean-Luc Godard, "Introduction à une véritable histoire du cinéma," Albatros , Paris,1980, p. 145

* * * * P. 783 —

If it is in ‘the in-between’ that thought is born, then for Godard cinematography as ‘a form that thinks  . . . was born with the advent of modern painting.’ [62]

62. Godard and Ishaghpour, op. cit., pp 45–46.

* * * * P. 785

Warburg commented on the signification of the black spaces that he placed between images in his analysis of the network of intervals in  Mnemosyne , by quoting Johann Wolfgang Goethe’s dictum ‘the truth inhabits the middle space.’ [68] This citation induces a feeling of déjà-vu for the viewer of Histoire(s). The link was not missed by Warburg himself, as one of his diary entries testifies: ‘We can compare this phenomenon [the iconology of the interval] to that of the cinematic montage, the domain of the interpretation is an intervallic one.’  [69]

68. Warburg,  Mnemosyne , pp 135–146.

69. Warburg is quoted in Didi-Huberman, L’image survivante, p. 503. (Georges Didi-Huberman, L’image survivante. Histoire de l’art et temps des fantômes selon Aby Warburg , Minuit, Paris, 2002)

Wednesday, September 12, 2018

One Plus One

Filed under: Uncategorized — Tags: — m759 @ 11:10 AM




Tuesday, September 11, 2018

Art-Historical Narrative

Filed under: Uncategorized — Tags: , — m759 @ 2:40 PM

Art history from Galerie St. Etienne

Summer Solstice Notes

By Fritz Leiber

Filed under: Uncategorized — m759 @ 6:00 AM

Spider and Snake on cover of Fritz Leiber's novel Big Time

Anthony Hopkins at Dolly's Little Diner in Slipstream

Sir Anthony Hopkins in "Slipstream." See "Home from Home."

Monday, September 10, 2018

Big Time

Filed under: Uncategorized — m759 @ 11:48 PM



Your OS

Filed under: Uncategorized — m759 @ 3:33 AM


"Alan Watts wrote of The Making of a Counter Culture  in the San Francisco Chronicle  in 1969, 'If you want to know what is happening among your intelligent and mysteriously rebellious children, this is the book. The generation gap, the student uproar, the New Left, the beats and hippies, the psychedelic movement, rock music, the revival of occultism and mysticism, the protest against our involvement in Vietnam, and the seemingly odd reluctance of the young to buy the affluent technological society—all these matters are here discussed, with sympathy and constructive criticism, by a most articulate, wise, and humane historian.' "

The University of California Press

"Please wait as your operating system is initiated."


Sunday, September 9, 2018

Plan 9 Continues.

Filed under: Uncategorized — Tags: — m759 @ 9:00 AM

"The role of Desargues's theorem was not understood until
the Desargues configuration was discovered. For example,
the fundamental role of Desargues's theorem in the coordinatization
of synthetic projective geometry can only be understood in the light
of the Desargues configuration.

Thus, even as simple a formal statement as Desargues's theorem
is not quite what it purports to be. The statement of Desargues's theorem
pretends to be definitive, but in reality it is only the tip of an iceberg
of connections with other facts of mathematics."

— From p. 192 of "The Phenomenology of Mathematical Proof,"
by Gian-Carlo Rota, in Synthese , Vol. 111, No. 2, Proof and Progress
in Mathematics
(May, 1997), pp. 183-196. Published by: Springer.

Stable URL: https://www.jstor.org/stable/20117627.

Related figures —

Note the 3×3 subsquare containing the triangles ABC, etc.

"That in which space itself is contained" — Wallace Stevens

Saturday, September 8, 2018


Filed under: Uncategorized — Tags: — m759 @ 9:26 PM

'Space' in Chinese

For example —

'Projective space' in Chinese

See also Interality in this journal.


Filed under: Uncategorized — m759 @ 2:00 AM

Affine groups on small binary spaces

Friday, September 7, 2018

The Enormous Snowflake

Filed under: Uncategorized — m759 @ 2:01 PM

A literary reference suggested by the previous post and by
today's 2 AM post "Show" —


See also Snowflake in this  journal.

Carnival and Mystery

Filed under: Uncategorized — m759 @ 1:15 PM

From a search in this journal for "Public Square" —

See also Gresham in this journal.

A Square for Sims

Filed under: Uncategorized — m759 @ 3:00 AM

The American Mathematical Society on Wednesday, September 5,
reported a death from October 23 last year

AMS obituary for mathematician Charles C. Sims

See also Higman-Sims and 5×5 in this  journal.


Filed under: Uncategorized — m759 @ 2:00 AM

In memory of a showman who reportedly died on August 31


See also this journal on August 31.

Thursday, September 6, 2018

Identity Crisis

Filed under: Uncategorized — m759 @ 6:29 PM

(Continued from 12 AM Sept. 4)

New York Times
Editors’ Choice
11 New Books We Recommend This Week

Sept. 6, 2018

Identity — whatever that even means — has been having a moment, lately. The political climate forces us all to decide grimly what bunker will welcome us, and the new culture wars spur people to define themselves before somebody else does it for them to possibly violent effect. Identity may be abstract and elusive, but that doesn’t mean it doesn’t have real-world consequences. So our recommended titles this week turn a spotlight on the subject, from Francis Fukuyama’s “Identity” to Kwame Anthony Appiah’s “The Lies That Bind” to two books about identity politics on college campuses: “The Splintering of the American Mind,” by William Egginton, and “The Coddling of the American Mind,” by Greg Lukianoff and Jonathan Haidt. (Those similar titles are no coincidence: Both books hark back to Allan Bloom’s classic “The Closing of the American Mind.”) We also have a book about the Spanish man who for decades falsely claimed to be a Holocaust survivor, and a joint biography of the mother and daughter who gave their names to the Myers-Briggs personality test. In other realms, there’s a biography of the tennis legend Arthur Ashe; new fiction from Gary Shteyngart, Ben Marcus and Tsitsi Dangarembga; and an essay collection about the role of the “dead girl” in popular culture, which posits that — in that case, anyway — the absence of identity is the whole point.

Gregory Cowles
Senior Editor, Books

See also  Identity + Paz  in this  journal.


Filed under: Uncategorized — m759 @ 5:00 PM


Wednesday, September 5, 2018

Multifaceted Narrative

Filed under: Uncategorized — m759 @ 8:19 PM



See also, in this  journal, 23-cycle.

Update of Sept. 6, 2018, 9:05 AM ET:  "The Cubist Method"

Multifaceted narrative by James Joyce —


Multifaceted structures in pure mathematics, from Plato and R. T. Curtis  —

Counting symmetries with the orbit-stabilizer theorem

Midnight Art

Filed under: Uncategorized — Tags: — m759 @ 3:03 AM


See also 12 AM Sept. 4 in this  journal, "Identity Crisis."

Related material — "Overarching" in this journal.

Update of 4:12 AM ET —

The name of the New Yorker  artist in the Identity Crisis post,
Tamara Shopsin, has now been added to the illustrated excerpt.

See as well . . .



Tuesday, September 4, 2018

MBTI at the Church of St. Frank*

Filed under: Uncategorized — m759 @ 10:45 AM

(Suggested by the previous post)


* For the church, see Kermode + Garber.

Identity Crisis

Filed under: Uncategorized — m759 @ 12:00 AM



See also 5×5  in this  journal.

Monday, September 3, 2018


Filed under: Uncategorized — m759 @ 3:40 AM

For the title, see Paranoia Strikes Deep (Dec. 1, 2011).

Related reading —


Sunday, September 2, 2018

Picture Yourself …

Filed under: Uncategorized — m759 @ 10:12 PM



Saturday, September 1, 2018

Another 48 Hours

Filed under: Uncategorized — Tags: — m759 @ 9:29 PM


Backstory:  See The Plaid Overnight Case in this journal.

Investigators: First 48 Hours Most Critical
In Locating Missing Children Who Entered
Portal To Fantastical World

See as well a post from 10:16 PM ET Thursday, August 30, 2018.

Nicht Spielerei

Filed under: Uncategorized — m759 @ 2:56 PM


"The absence of adults forces children to practice their social skills."

This is from . . .


See also . . .

The Enlivened Obituary

Filed under: Uncategorized — m759 @ 1:45 PM

" Martin Shubik, an economist whose prescient visions
of a computerized world and pioneering applications
of game theory to everyday life enlivened what has been
described as the dismal science, died on Aug. 22 at his
home in Branford, Conn. He was 92."

Sam Roberts in The New York Times  yesterday

From Sylvia Nasar's A Beautiful Mind


Ron Shaw — D. 21 June 2016

Filed under: Uncategorized — Tags: — m759 @ 4:08 AM

The date of Ron Shaw's 2016 death appears to be June 21:


All other Internet sources I have seen omit the June 21 date.

This  journal on that date —


Friday, August 31, 2018

Perception of Number

Filed under: Uncategorized — Tags: — m759 @ 8:31 PM

Review of yesterday's post Perception of Space

From Harry Potter and the Philosopher's Stone  (1997),
republished as "… and the Sorcerer's Stone ," Kindle edition:


In a print edition from Bloomsbury (2004), and perhaps in the
earliest editions, the above word "movements" is the first word
on page 168:


Click the above yellow ellipse for some Log24 posts on the eightfold cube,
the source of the 168 automorphisms ("movements") of the Fano plane.

"Refined interpretation requires that you know that
someone once said the offspring of reality and illusion
is only a staggering confusion."

— Poem, "The Game of Roles," by Mary Jo Bang

Related material on reality and illusion
an ad on the back cover of the current New Yorker


"Hey, the stars might lie, but the numbers never do." — Song lyric

Thursday, August 30, 2018

Twenty Years

Filed under: Uncategorized — Tags: — m759 @ 10:16 PM

This post was suggested by the final inside page, 23,
of next Sunday's New York Times Book Review ,
"Memorabilia/ Happy 20th Anniversary, Harry Potter."


From VOA Learning English, June 26, 2017

J.K. Rowling's Harry Potter Books
Turn 20 Years Old

. . . .

" J.K. Rowling’s first book about Harry and his friends at Hogwarts School of Witchcraft and Wizardry was released on June 26, 1997.

The publisher, Bloomsbury, only released 500 copies to stores in Britain and sent 500 to British libraries.

Now, thanks to 450 million more copies of the first book and six others, Harry Potter and his friends are known around the world.

Adults and children loved the books. But 12 publishers rejected the first one, known in many countries as 'Harry Potter and the Philosopher’s Stone.' "

. . . .

See as well this  journal on June 26, 2017 in
posts now tagged Ron Shaw In Memoriam.

Perception* of Space

Filed under: Uncategorized — m759 @ 2:12 PM




* A footnote in memory of a dancer who reportedly died
  yesterday, August 29 —  See posts tagged Paradigm Shift.

"Birthday, death-day — what day is not both?" — John Updike

Tuesday, August 28, 2018

For St. Augustine’s Day

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


Whether the word "condescension" functions as purple Kool-Aid
here or in the previous post, the reader may decide.

See Becomes Saw

Filed under: Uncategorized — Tags: — m759 @ 2:46 PM




Filed under: Uncategorized — Tags: — m759 @ 1:06 PM


Monday, August 27, 2018

Geometry and Simplicity

Filed under: Uncategorized — m759 @ 9:27 PM


Thinking in Four Dimensions
By Dusa McDuff

"I’ve got the rather foolhardy idea of trying to explain
to you the kind of mathematics I do, and the kind of
ideas that seem simple to me. For me, the search
for simplicity is almost synonymous with the search
for structure.

I’m a geometer and topologist, which means that
I study the structure of space
. . . .

In each dimension there is a simplest space
called Euclidean space … "

— In Roman Kossak, ed.,
Simplicity:  Ideals of Practice in Mathematics and the Arts
(Kindle Locations 705-710, 735). Kindle Edition.


For some much simpler spaces of various
dimensions, see Galois Space in this journal.

Some small Galois spaces (the Cullinane models)

Children of the Six Sides

Filed under: Uncategorized — m759 @ 11:32 AM



From the former date above —

Saturday, September 17, 2016

A Box of Nothing

Filed under: Uncategorized — m759 @ 12:13 AM


"And six sides to bounce it all off of.

From the latter date above —

Tuesday, October 18, 2016


Filed under: Uncategorized — m759 @ 6:00 AM

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

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

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

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

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

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

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

From March 2018 —


Sunday, August 26, 2018

For the Green Man

Filed under: Uncategorized — m759 @ 12:30 PM




Mathematics and Narrative: Queensland

Filed under: Uncategorized — Tags: — m759 @ 3:56 AM

Mathematics —


Narrative —


See also other recent posts tagged Queensland.

Saturday, August 25, 2018


Filed under: Uncategorized — m759 @ 8:55 PM


Schoolgirl Problem

Filed under: Uncategorized — m759 @ 5:40 PM

For Pagan Moore


See also "as frivolous as a willow on a tombstone."

“Waugh, Orwell. Orwell, Waugh.”

Filed under: Uncategorized — m759 @ 4:00 PM

Suggested by a review of Curl on Modernism —


Related material —

Waugh + Orwell in this journal and

Cube Bricks 1984

An Approach to Symmetric Generation of the Simple Group of Order 168

Point at Infinity

Filed under: Uncategorized — m759 @ 5:20 AM

In literature —


In film —


In mathematics —


Friday, August 24, 2018

The Wandelweiser Manifesto

Filed under: Uncategorized — Tags: — m759 @ 5:35 PM

Or:  Signpost of Change

From a cartoon graveyard



Alex Ross on Wandelweiser, September 2016

Academic and Transformations

Filed under: Uncategorized — m759 @ 4:59 PM

For Doctor Sleep .



See as well "STEAM" in this journal.

“1, 2, 3” . . .

Filed under: Uncategorized — m759 @ 6:00 AM

See previous post.

Update of 6:29 AM — Click to enlarge

Oppenheimer homecoming, with ad for 'Pussy-Footer' alarm clock

Thursday, August 23, 2018


Filed under: Uncategorized — m759 @ 7:23 PM


See related posts.

Bar or Club?

Filed under: Uncategorized — m759 @ 1:37 AM

The title is from an Instagram caption yesterday.

Related material —


See as well "Alcoholic Club" in this  journal.

Wednesday, August 22, 2018

Castle Rock

Filed under: Uncategorized — Tags: — m759 @ 2:03 PM

See the title in a TV review* from io9 this morning and in
this  journal.


* Spoiler alert


Filed under: Uncategorized — Tags: — m759 @ 1:06 PM


Tuesday, August 21, 2018

Purported Endgame

Filed under: Uncategorized — Tags: — m759 @ 9:29 PM


A search for "IMA" yields, at ima.org.au . . .

"Since 1975, the Institute of Modern Art (IMA) has been Queensland’s 
leading independent forum for art and its discourses." And



"Clog, therefore, purple Jack and crimson Jill."

— Wallace Stevens

Available Light

Filed under: Uncategorized — Tags: — m759 @ 12:16 PM


Click the image above for an interview dated Nov. 9, 2015.
Also on that date —


Monday, August 20, 2018

Available Legend

Filed under: Uncategorized — m759 @ 1:27 PM



See also the recent post Apollo and the Furies.

A Wheel for Ellmann

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

The title was suggested by Ellmann's roulette-wheel analogy
in the previous post, "The Perception of Coincidence."

I Ching hexagrams as a Singer 63-cycle, plus zero

The Perception of Coincidence

Filed under: Uncategorized — Tags: — m759 @ 2:15 AM

Ellmann on Joyce and 'the perception of coincidence' —

"Samuel Beckett has remarked that to Joyce reality was a paradigm,
an illustration of a possibly unstatable rule. Yet perhaps the rule
can be surmised. It is not a perception of order or of love; more humble
than either of these, it is the perception of coincidence. According to
this rule, reality, no matter how much we try to manipulate it, can only
assume certain forms; the roulette wheel brings up the same numbers
again and again; everyone and everything shift about in continual
movement, yet movement limited in its possibilities."

— Richard Ellmann, James Joyce , rev. ed.. Oxford, 1982, p. 551

Sunday, August 19, 2018

Possible Permutations

Filed under: Uncategorized — Tags: — m759 @ 9:18 PM

John Calder, an independent British publisher who built a prestigious list
of authors like Samuel Beckett and Heinrich Böll and spiritedly defended
writers like Henry Miller against censorship, died on Aug. 13 in Edinburgh.
He was 91.

— Richard Sandomir in the online New York Times  this evening

On Beckett —


Also on August 13th


The Search for Veritas

Filed under: Uncategorized — m759 @ 8:16 PM


See as well the search for Veritas  in this  journal.

Apollo and the Furies

Filed under: Uncategorized — m759 @ 1:40 AM

Narration by the fictional schoolgirl Pagan Moore in a novel
apparently first published on March 4, 2004

"Now, can anyone else tell me or shall I ask Miss Moore again to help us out?” 

“Apollo is a symbol for the male, the rational, the young, and the civilized. The Furies represent the female, the violent, the old, and the primal. Aeschylus captures a mythical moment in history, one in which the world was torn between a savage and archaic past and the bold new order of Greek civilization, the young Olympian gods, and rationality. The difficulty of the struggle between these two worlds is dramatized by the cycle of violence in the House of Atreus and the clash between Apollo and the Furies.” 

No one giggled after Dank finished.

Existence  (first novel of a trilogy), pp. 80-81.
By Abbi Glines. Kindle Edition.

Update at 1:37 PM ET the same day —

A check for the source of the above speech yields

"Apollo is a symbol for the male, the rational, the young, and the civilized.
The Furies represent the female, the violent, the old, and the primal."

This passage is from
From the citation data there —
"By Borey, Eddie. 'The Eumenides Themes.'
GradeSaver, 24 October 2000 Web."

Saturday, August 18, 2018

Pagan Song Trilogy

Filed under: Uncategorized — m759 @ 2:45 PM

Trilogy about the fictional schoolgirl Pagan Moore

"I can feel the Devil walking next to me"

Song lyric from the musical "Chess"

Friday, August 17, 2018

Hogwarts Peak

Filed under: Uncategorized — m759 @ 2:00 PM

Or:  Misery, Jessica …  Jessica, Misery .



Related material from The Harvard Crimson

"The beach and the castle on the hill and the waves
would always be here, always moving, always changing,
but always constant." 

— Robert Miranda, "The Simplicity of Waves," August 8, 2018

Related material on waves (i.e. , "Fourier's laboratory") —

See also this  journal on August 8.

Thursday, August 16, 2018

Mathematics and Narrative

Filed under: Uncategorized — m759 @ 11:00 PM



Alperin, Groups and Representations, p. 61


The Tale of the Flux Capacitor

Hardware and Software

Filed under: Uncategorized — m759 @ 10:01 PM

See the title in this journal.

The Offspring of Reality and Illusion*

Filed under: Uncategorized — m759 @ 3:35 PM


* See some related images from this  journal.

Wednesday, August 15, 2018

An Illusion of Brilliance

Filed under: Uncategorized — m759 @ 5:25 PM

" . . . the 3 by 3, the six-sided, three-layer configuration of
the original Rubik’s Cube, which bestows an illusion of brilliance
on those who can solve it."

— John Branch in the online New York Times  today,
     "Children of the Cube":


Cube-solving, like other sports, allows for displays of
impressive and admirable skill, if not "brilliance."

The mathematics — group theory — that is sometimes associated
with Rubik's Cube is, however, not  a sport.  See Rubik + Group
in this journal.


An Exceptional Isomorphism

Filed under: Uncategorized — m759 @ 5:40 AM

Why PSL(2,7) is isomorphic to GL(3.2)

From previous posts on this topic —



Tuesday, August 14, 2018

Fake News?

Filed under: Uncategorized — m759 @ 11:19 PM



Filed under: Uncategorized — m759 @ 4:38 PM


Also on Feb. 2, 2014 —



Filed under: Uncategorized — Tags: , , — m759 @ 12:06 AM




Monday, August 13, 2018

Noetic Acts and Horizonal Contexts

Filed under: Uncategorized — m759 @ 3:00 PM

From recent posts on the Sandywell lexicon

This suggests . . .


Trojan Horsitude

Filed under: Uncategorized — Tags: — m759 @ 3:33 AM

"It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy. It structures Plato's (realist) reaction to the sophists (nominalists). What is often called 'postmodernism' is really just nominalism, colourfully presented as the doctrine that there is nothing except texts. It is the variety of nominalism represented in many modern humanities, paralysing appeals to reason and truth."

— Simon Blackburn, Think,
    Oxford University Press, 1999, page 268

". . . a perfect triptych of horsitude"

James Parker on the 2007 film "Michael Clayton"

Related material —

Horsitude in the 4×2 grid, and



Sunday, August 12, 2018


Filed under: Uncategorized — m759 @ 12:00 PM

Two articles by James Parker


"The Cardinal seemed a little preoccupied today."

Saturday, August 11, 2018

People’s Temple of Doom

Filed under: Uncategorized — m759 @ 9:10 PM


The above phrase in a different edition (click to enlarge) —



Filed under: Uncategorized — m759 @ 1:28 PM

In three generations of MacDonalds




Fantasy (Etymology)

Filed under: Uncategorized — m759 @ 2:45 AM


Friday, August 10, 2018

For Noah Cross in Chinatown

Filed under: Uncategorized — m759 @ 2:00 PM


Geometry of the I Ching (Box Style)

Thursday, August 9, 2018

Drama Queen in Yellow Dress

Filed under: Uncategorized — Tags: — m759 @ 9:09 PM


Related literature —


Related video —

(Recall, in light of the previous post, that
Apollo is the lord of the dance.)

The Girl in the Yellow Dress
(from the Broadway musical "Contact")

True Grids

Filed under: Uncategorized — Tags: — m759 @ 7:59 PM

From a search in this journal for "True Grid,"
a fanciful description of  the 3×3 grid —

"This is the garden of Apollo,
the field of Reason…."
John Outram, architect    

A fanciful instance of the 4×2 grid in
a scene from the film "The Master" —

IMAGE- Joaquin Phoenix, corridor scene in 'The Master'

A fanciful novel referring to the number 8,
and a not -so-fanciful reference:


Illustrated above are Katherine Neville's novel The Eight  and the
"knight" coordinatization of the 4×2 grid from a page on the exceptional
isomorphism between PSL(3,2) (alias GL(3,2)) and PSL(2,7) — groups
of, respectively, degree 7 and degree 8.

Literature related to the above remarks on grids:

Ross Douthat's New York Times  column yesterday purported, following
a 1946 poem by Auden, to contrast students of the humanities with
technocrats by saying that the former follow Hermes, the latter Apollo.

I doubt that Apollo would agree.

“Just” a Metaphor?

Filed under: Uncategorized — m759 @ 11:34 AM

    Marvel's Jessica Jones, S1 E13


These are questions to which we might hope
the New York Times 's film critics know the answers.

Annals of Phenomenology

Filed under: Uncategorized — Tags: — m759 @ 12:29 AM

(Continued from yesterday)


Wednesday, August 8, 2018

ART WARS: Poetry for Drama Queens

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


Annals of Phenomenology

Filed under: Uncategorized — Tags: — m759 @ 4:44 PM

The Return of Purple Man
Or:  This Just In

Detail from a post of yesterday morning taken from
the laptop of private investigator Jessica Jones —


The above image, together with yesterday's date, suggested, rather
fancifully, yesterday morning's later post on just intonation, "Seventh."

The nemesis of Jessica Jones, the Purple Man


A New York Times  piece today* is related to both just intonation and
the color purple —


* Published at 1:50 PM ET —
itemprop="datePublished" content="2018-08-08T17:50:30.000Z"


Filed under: Uncategorized — Tags: , , — m759 @ 6:29 AM

Dates from math forums mentioned in the previous post

Dec. 7, 2016  and  Aug. 2, 2010.

Connoisseurs of synchonology may like to click on those dates.


Filed under: Uncategorized — Tags: , , — m759 @ 6:00 AM

From mathoverflow.net on Dec. 7, 2016 —

The exceptional isomorphism between
PGL(3,2) and PSL(2,7): geometric origin?

Essentially the same question was asked earlier at

math.stackexchange.com on Aug. 2, 2010.

See also this  journal in November 2017 —

"Read something that means something."
                — New Yorker  ad

'Knight' octad labeling by the 8 points of the projective line over GF(7) .

Background — Relativity Problem in Log24.

Tuesday, August 7, 2018

The Search for Harmonic Analysis

Filed under: Uncategorized — m759 @ 11:45 AM

See Harmonic Analysis in this journal.

See also Loop.

'Loop De Loop,' Johnny Thunder, Diamond Records, 1962

"Here we go loop de lie."


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

 A Requiem Chord

Tom Stoppard, Jumpers —

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

“Just a lying rhyme for seven!”



Annals of E-Romance:

Filed under: Uncategorized — Tags: , — m759 @ 2:22 AM

Smartphone Meets Laptop —


Some related narrative from the previous post

“All right, Jessshica. It’s time to open the boxsssschhh.”

Monday, August 6, 2018

The Girl with Kaleidoscope Eyes

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


“All right, Jessshica. It’s time to open the boxsssschhh.”

“Gahh,” she said. She began to walk toward the box, but her heart failed her and she retreated back to the chair. “Fuck. Fuck.” Something mechanical purred. The seam she had found cracked open and the top of the box began to rise. She squeezed shut her eyes and groped her way into a corner, curling up against the concrete and plugging her ears with her fingers. That song she’d heard the busker playing on the train platform with Eliot, “Lucy in the Sky with Diamonds”; she used to sing that. Back in San Francisco, before she learned card tricks. It was how she’d met Benny: He played guitar. Lucy was the best earner, Benny said, so that was mainly what she sang. She must have sung it five times an hour, day after day. At first she liked it but then it was like an infection, and there was nothing she could do and nowhere she could go without it running across her brain or humming on her lips, and God knew she tried; she was smashing herself with sex and drugs but the song began to find its way even there. One day, Benny played the opening chord and she just couldn’t do it. She could not sing that fucking song. Not again. She broke down, because she was only fifteen, and Benny took her behind the mall and told her it would be okay. But she had to sing. It was the biggest earner. She kind of lost it and then so did Benny and that was the first time he hit her. She ran away for a while. But she came back to him, because she had nothing else, and it seemed okay. It seemed like they had a truce: She would not complain about her bruised face and he would not ask her to sing “Lucy.” She had been all right with this. She had thought that was a pretty good deal.

Now there was something coming out of a box, and she reached for the most virulent meme she knew. “Lucy in the sky!” she sang. “With diamonds!”

•   •   •

Barry, Max. Lexicon: A Novel  (pp. 247-248).
Penguin Publishing Group. Kindle Edition.

Related material from Log24 on All Hallows' Eve 2013

"Just another shake of the kaleidoscope" —

Related material:

Kaleidoscope Puzzle,  
Design Cube 2x2x2, and 
Through the Looking Glass: A Sort of Eternity.

Summer in Philadelphia

Filed under: Uncategorized — m759 @ 2:59 PM


See also this  journal on June 21st, 2013.

A Connecting Link

Filed under: Uncategorized — m759 @ 2:00 PM


From New York City on All Hallows' Eve 2013 —


From this  journal on All Hallows' Eve 2013 —

Sunday, August 5, 2018

For Gothamists

Filed under: Uncategorized — m759 @ 9:33 PM


Not so good —


Board Structure

Filed under: Uncategorized — m759 @ 11:48 AM



Go Set a Structure

Filed under: Uncategorized — m759 @ 11:00 AM

See the title in this journal.

Saturday, August 4, 2018

The Corrections

Filed under: Uncategorized — m759 @ 10:42 PM




"Forget it, Jake. It's Chinatown."

Triple Cross

Filed under: Uncategorized — m759 @ 9:57 PM


See also

This post was suggested by Log24 remarks on May 4, 2014,
the date of Garrett Lisi's Twitter post announcing the opening
of his Pacific Science Institute (see previous post).

The Public Life of Harry Albers

Filed under: Uncategorized — m759 @ 9:20 PM

Suggested by the previous post, "The Secret Life of Harry Albers" —


The fictional "Pacific Science Institute" in novels by Albers
seems to have appeared first in his Murder at Lake Tomahawk
(Dec. 14, 2000). Its name may or may not have influenced the
founder of the later non -fictional Pacific Science Institute


The Secret Life of Harry Albers

Filed under: Uncategorized — m759 @ 3:00 PM

A novel by Harry Albers featuring his fictional Pacific Science Institute:


See the real  Pacific Science Institute (PSI) in the previous post.

Synchronology check —


Related literary remarks —

— Cloud Atlas , by David Mitchell (2004).


Filed under: Uncategorized — m759 @ 2:19 PM


Related material:

Two-Year College (May 14, 2014) and
Easter Eggs for Rosalind (July 7, 2018).

Manifestations of Exquisite Geometry

Filed under: Uncategorized — m759 @ 1:23 PM

An alleged manifestation in physics, from Scientific American  —


Manifestations in pure mathematics, from Plato and R. T. Curtis  —

Counting symmetries with the orbit-stabilizer theorem

For some entertaining literary  manifestations, see Wrinkle.

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