Saturday, October 31, 2020

The Green Knight Challenge

Filed under: General — Tags: — m759 @ 10:50 AM

See too the previous post.

Meanwhile . . .

Filed under: General — Tags: — m759 @ 3:48 AM

Click here to enlarge.

See as well “Risin’ Up to the Challenge of Our Rival.”


Filed under: General — m759 @ 2:56 AM

See posts so tagged.

Friday, October 30, 2020

Devil’s Night Art Notes

Filed under: General — m759 @ 2:19 PM

From this journal on November 19, 2018

An art-related game for The Man with Red Eyes  —

Rare Shells and Stratagems

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

Patricia Lockwood quoting Nabokov —

‘I saw the board as a square pool of limpid water
with rare shells and stratagems rosily visible
upon the smooth tessellated bottom, which
to my confused adversary was all ooze and
squid-cloud.’ Conceptions of space, dimension,
movement, strategy.

London Review of Books ,
Vol. 42 No. 21 · 5 November 2020

Related images —

From this journal on October 26:

From this journal this morning:

A dancer forms a heart shape with her hands. Finishing the gesture,
she recovers the point missing from the bottom of the above shield . . .

Game for Devil’s Night in an Election Year

Filed under: General — Tags: — m759 @ 10:25 AM

From the designer of Q-bitz

Dance of the Qubits

Filed under: General — Tags: — m759 @ 9:38 AM

The title was suggested by the update in the previous post.

See also . . .

Thursday, October 29, 2020

Images in posts are down.

Filed under: General — Tags: , , — m759 @ 9:30 AM

The service hosting my Log24 images is down. I do not know
when it will be up again.*

Meanwhile, a WordPress Media workaround image —

Honeywell H1 Quantum Computer Methods

Related narrative for a Code Girl

“Tickle: Change, Shift, Reveal.”

* Update at 5 AM Oct. 30: Images are back.
To celebrate their return . . . .
“Dance Practice Video,” still and detail.

The Art of the Possible: Weyl as Magister Ludi ?

Filed under: General — Tags: — m759 @ 3:54 AM

Johann A. Makowsky recently reviewed  Modernism, Fiction and Mathematics
by Nina Engelhardt.  Engelhardt is a  Wissenschaftliche Mitarbeiterin  at the
University of Stuttgart.  Makowsky is a professor emeritus of the computer science
department at the Technion-Israel Institute of Technology

The quotation below, by Makowsky not Engelhardt,  is from Notices of the
American Mathematical Society
, November 2020  (Vol. 67, No. 10, p. 1594) —

“Hermann Weyl was known for his inspiring lectures,
celebrating mathematics as a performing art. It is then likely
that he was both the model for the magister ludi celebrating
the Glass Bead Game, and the source of Hesse’s awareness of
modern mathematics as the art of the possible, rather than
the science of true nature.”

Possibly .

Consider also the diamond  as  Spielraum .

Wednesday, October 28, 2020

Country Requiem

Filed under: General — m759 @ 8:00 PM
/ Source: Reuters
By Variety
Country music singer-songwriter Billy Joe Shaver,
whom Willie Nelson once called ‘the greatest living
songwriter,’ died Wednesday at the age of 81.”

Synchronology check:


“You say I am repeating” — T. S. Eliot

Filed under: General — m759 @ 8:56 AM

From the previous post:

“… all things, whether below or above appearance,
are one and that it is only through reality, in which
they are reflected or, it may be, joined together,
that we can reach them.”

Wallace Stevens

See also “The Bond with Reality.”

Tuesday, October 27, 2020

Japanese Bed*

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

The reported death on Monday of the Random House editor of the 1996
book Primary Colors: A Novel of Politics  suggests a search in this journal
for “primary colors.”  From that search, some non-political quotations —

From “The Relations between Poetry and Painting,”
by Wallace Stevens:“The theory of poetry, that is to say, the total of the theories of poetry, often seems to become in time a mystical theology or, more simply, a mystique. The reason for this must by now be clear. The reason is the same reason why the pictures in a museum of modern art often seem to become in time a mystical aesthetic, a prodigious search of appearance, as if to find a way of saying and of establishing that all things, whether below or above appearance, are one and that it is only through reality, in which they are reflected or, it may be, joined together, that we can reach them. Under such stress, reality changes from substance to subtlety, a subtlety in which it was natural for Cézanne to say: ‘I see planes bestriding each other and sometimes straight lines seem to me to fall’ or ‘Planes in color. . . . The colored area where shimmer the souls of the planes, in the blaze of the kindled prism, the meeting of planes in the sunlight.’ The conversion of our Lumpenwelt  went far beyond this. It was from the point of view of another subtlety that Klee could write: ‘But he is one chosen that today comes near to the secret places where original law fosters all evolution. And what artist would not establish himself there where the organic center of all movement in time and space—which he calls the mind or heart of creation— determines every function.’ Conceding that this sounds a bit like sacerdotal jargon, that is not too much to allow to those that have helped to create a new reality, a modern reality, since what has been created is nothing less.”

From Bester’s The Deceivers (1981):

He stripped, went to his Japanese bed in the monk’s cell,
thrashed, swore, and slept at last, dreaming crazed

p a t t e r n s
a t t e r n s
t t e r n s
t e r n s
e r n s
r n s
n s

* Title suggested in part by Monday evening’s post Annals of Artspeak
and the related Microsoft  lockscreen photo credit —


“To Illustrate My Last Remark”*

Filed under: General — Tags: — m759 @ 9:32 AM

* Song lyric, soundtrack album of
Midnight in the Garden of Good and Evil

Monday, October 26, 2020

Set + Design

Filed under: General — Tags: — m759 @ 9:41 PM

In memoriam . . .

http://m759.net/wordpress/?s=Set+Design .

Annals of Artspeak

Filed under: General — Tags: , — m759 @ 9:14 PM

See also LeWitt in this journal.


Filed under: General — Tags: , — m759 @ 11:37 AM

These news items suggest a review —

The above “Pynchon’s Paranoid History” page number  appeared
in this  journal on Groundhog Day, 2015 —

David Justice on a Zeta-related theory —

She Sells Sea Shells

Filed under: General — Tags: — m759 @ 8:30 AM

More Bang for the Buck:

Code Girl Continues.

Filed under: General — Tags: — m759 @ 7:47 AM

Ay Que Bonito

Filed under: General — m759 @ 2:00 AM

See the above title in this journal.

Related material — The ad where I first encountered
the TV series “A Discovery of Witches.”

See too a related map.

Sunday, October 25, 2020

A Tune for Bojangles

Filed under: General — Tags: — m759 @ 11:01 AM

A search in this journal for  Harvard Alcoholic Club
leads to a dead link, then to . . .

Saturday, October 24, 2020

Recent Deaths in Review

Filed under: General — m759 @ 7:02 PM

Second billing.  Not too bad.

Switchin’ the Positions*

Filed under: General — Tags: , — m759 @ 11:27 AM

“C24 is the list of codewords of the extended
binary Golay code C24.  Each codeword is expressed
by a subset of the set M  of the positions  [1, . . . , 24]
of MOG.”

— From Shimada’s notes on computational data at

*  Related material — A new Ariana Grande video and . . .

a recent digital artwork, “Code Girl,” with accompanying story —

At the Still Point . . .

Filed under: General — m759 @ 10:59 AM

The Galois Tesseract

Filed under: General — Tags: — m759 @ 9:32 AM

Stanley E. Payne and J. A. Thas in 1983* (previous post) —

“… a 4×4 grid together with
the affine lines on it is AG(2,4).”

Payne and Thas of course use their own definition
of affine lines on a grid.

Actually, a 4×4 grid together with the affine lines on it
is, viewed in a different way, not AG(2,4) but rather AG(4,2).

For AG(4,2) in the proper context, see
Affine Groups on Small Binary Spaces and
The Galois Tesseract.

* And 26 years later,  in 2009.


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

Wikipedia on what has been called “the doily” —

“The smallest non-trivial generalized quadrangle
is GQ(2,2), whose representation* has been dubbed
‘the doily’ by Stan Payne in 1973.”

A later publication relates the doily to grids.

From Finite Generalized Quadrangles , by Stanley E. Payne
and J. A. Thas, December 1983, at researchgate.net, pp. 81-82—

“Then the lines … define a 3×3 grid G  (i.e. a grid
consisting of 9 points and 6 lines).”
. . . .
“So we have shown that the grid G  can completed [sic ]
in a unique way to a grid with 8 lines and 16 points.”
. . . .
“A 4×4 grid defines a linear subspace
of  the 2−(64,4,1) design, i.e. a 4×4 grid
together with the affine lines on it is AG(2,4).”

A more graphic approach from this journal —

Seven is Heaven...

Click the image for further details.

* This wording implies that GQ(2,2) has a unique
visual representation. It does not. See inscape .

Friday, October 23, 2020

Temple Bell

Filed under: General — m759 @ 6:15 PM

The title refers to a man called by John Baez
“The infamous pseudohistorian Eric Temple Bell.”

(See my post The Magpie.)

Today the American Mathematical Society (AMS) has
an obituary for Donald Babbitt (1936-2020), who
reportedly died on October 10.

Babbitt is the co-author of an article on Bell from the
June/July 2013 AMS Notices .

Language Game:  The Doily Curse

Filed under: General — Tags: , — m759 @ 5:01 PM

“Quadrangle” is also a mathematical term.

Example: The Doily.

See also  The Crosswicks Curse .

To Promote Fiction

Filed under: General — m759 @ 3:37 PM

News from Saint Luke’s Day

Filed under: General — m759 @ 6:58 AM

Midrash for the late Harold Bloom,
author of The Daemon Knows —

It is perhaps not irrelevant that the phrase “on Saturday” in the
Los Angeles Times  of Sunday, October 18, 2020, refers to the
preceding day — October 17, 2020.  See too that date here.

Related material —

— November 2020
Notices of the American Mathematical Society

For fans of mathematics and narrative

Some may fancy Bloom as a dybbuk (cf, “A Serious Man“) turning
the page in the article above to the next page, 1590

Thursday, October 22, 2020


Filed under: General — Tags: — m759 @ 7:11 PM

See the title in this journal.

A Travelling Show

Filed under: General — Tags: — m759 @ 10:18 AM

“If I were a sculptor, but then again no
Or a man who sells potions in a travelling show”

Song lyric


Filed under: General — Tags: — m759 @ 9:22 AM

In Memoriam

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

Marge Champion

September 2, 1919 —
October 21, 2020

At the still point . . .

Icons from a Search Result

Filed under: General — Tags: — m759 @ 2:19 AM

For further details, click on either icon.

This post was suggested by the following passage —


Filed under: General — Tags: — m759 @ 1:01 AM

Wednesday, October 21, 2020


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

Randi reportedly died on Tuesday, October 20.

“Italic with Derision”

“These things used to be on the back of cornflakes boxes,”
Mr. Randi, his voice italic with derision, once told the
television interviewer Larry King. “But apparently some
scientists either don’t eat cornflakes, or they don’t read
the back of the box.” — Margalit Fox

See as well …

http://m759.net/wordpress/?s=Monster+Gardner .

Riddle for a Code Girl*

Filed under: General — Tags: , — m759 @ 10:28 AM

Space People Lightbulb Puzzle
by presentationgo.com

“How many space people does it take
  to screw in a lightbulb?”

I.e. , the code girl of  the previous post.

Arrangement in Gray and Black

Filed under: General — Tags: — m759 @ 9:14 AM

See also The Spelman Trick.

The image above, from an Oct. 15 Harvard Crimson  article, is not credited.
But see the Crimson’s “Code Girl” page and the website of Margot Shang.

Meditation in Red and Gray

Filed under: General — Tags: — m759 @ 9:04 AM

See also Red and Gray in this  journal.

The Chemicals

Filed under: General — m759 @ 8:41 AM

From a page linked to yesterday in The Newton Methods

A related fiction —

From one of the best books of the 20th century:

The Hawkline Monster

by Richard Brautigan

“The Chemicals that resided in the jar were a combination of hundreds of things from all over the world.  Some of The Chemicals were ancient and very difficult to obtain.  There were a few drops of something from an Egyptian pyramid dating from the year 3000 B.C.

There were distillates from the jungles of South America and drops of things from plants that grew near the snowline in the Himalayas.

Ancient China, Rome and Greece had contributed things, too, that had found their way into the jar.  Witchcraft and modern science, the latest of discoveries, had also contributed to the contents of the jar.  There was even something that was reputed to have come all the way from Atlantis….

they did not know that the monster was an illusion created by a mutated light in The Chemicals. a light that had the power to work its will upon mind and matter and change the very nature of reality to fit its mischievous mind.”

Tuesday, October 20, 2020

The Leibniz Methods

Filed under: General — m759 @ 7:20 PM

IMAGE- The Leibniz medal

Click medal for some background. The medal may be regarded
as illustrating the 16-point Galois space.

The Newton Methods

Filed under: General — m759 @ 6:00 PM

See also Vernissage.

The Browning Methods

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

The Ballad of Goo Ballou —
the Sequel to . . .

Let me count  the ways” is an appropriate request
for students of the discrete ,  as opposed to the
continuous , which instead requires measurement .

Related academic material —

Raymond Cattell on crystallized  vs. fluid  intelligence.
For a more literary approach, see Crystal and Dragon
and For Trevanian.

This post was inspired in part by
the American Sequel Society and . . .

Monday, October 19, 2020

“Let Me Count the Ways” — Jeffrey Toobin?

Filed under: General — Tags: — m759 @ 6:05 PM

Portuguese Charlize

A Moritat for Macalester

Filed under: General — Tags: — m759 @ 8:13 AM

The previous post, “Frame Analysis,” was about a death
related to Macalester College.

Wikipedia on the man for whom the college was named —

“In the 1870s, Rev. Dr. Edward Duffield Neill turned to
Macalester  for sponsorship for the failing institution
in Minnesota known as Jesus College. ”

Logos —

On the sidewalk Sunday morning …

Frame Analysis

Filed under: General — m759 @ 6:55 AM

For the late John Schue —

Another event on Schue’s reported date of death —

Related philosophical remarks —

Also on June 12, 2007 —

“Graffiti in the Library of Babel” Continues.

Filed under: General — m759 @ 5:36 AM

Click on the Wiktionary image for the Babel story.
Click on the Springer.com link for related posts.

Sunday, October 18, 2020

The Limits of Language

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

Wittgenstein, Philosophical Investigations  118-119 —

118. Where does our investigation get its importance from,
since it seems only to destroy everything interesting,
that is, all that is great and important? (As it were all
the buildings, leaving behind only bits of stone and
rubble.) What we are destroying is nothing but
houses of cards  and we are clearing up the ground
of language on which they stand.
119. The results of philosophy are the uncovering of one
or another piece of plain nonsense and of bumps
that the understanding has got by running its head up against the limits of language. These bumps make us
see the value of the discovery.


Filed under: General — Tags: , — m759 @ 5:10 AM

See “Unfolded.jpg” in this journal.  From that search —

Pentagon with pentagram    

Compare and contrast these figures with images by Wittgenstein in . . .

Wittgenstein's pentagram and 4x4 'counting-pattern'

Related material from last night’s post Modernist Cuts

Schlick also appears in recent posts tagged Moriarty Variations.

Saturday, October 17, 2020

Modernist Cuts

Filed under: General — Tags: , — m759 @ 10:05 PM

“The bond with reality is cut.”

— Hans Freudenthal, 1962

Indeed it is.

Related screenshot of a book review
from the November AMS Notices

Now Lens…

Filed under: General — m759 @ 11:52 AM


The above phrase “neurolinguistic hacker” does not do justice to
Neal Stephenson’s remarks on “Ba’al Shem.”

This post was suggested by  an  Oct. 12  Wired  book review.

“I Could a Tale …”

Filed under: General — Tags: — m759 @ 9:51 AM


The Doily Man

Filed under: General — Tags: — m759 @ 12:06 AM

A death on Thursday, October 15, 2020

Thursday, October 15, 2020

What Lies Beneath

Filed under: General — m759 @ 10:47 PM

From the previous post

Lily Collins in a more recent mattress meditation —

See as well Plaid in this journal.

The Quarantine Midrash

Filed under: General — m759 @ 7:56 PM

Illustration for a New York Times  July 15  “Tech Fix” piece:
You’re Doomscrolling Again.

One possible antidote:

Related fiction:  “Quarantine Story.

“Show me all  the blueprints.” — Attributed to Howard Hughes

Sundown Ending

Filed under: General — m759 @ 8:35 AM

See posts so tagged.

Those posts mark the end of Yom Kippur 2006
and the death of the father of James R. Swartz,
Harvard ’64, for whom the central building of
Harvard Divinity School was renamed in 2019.

See as well last night’s post, “With Shields Emblazoned,”
on the death of a notable Divinity School leader.

Wednesday, October 14, 2020

With Shields Emblazoned

Filed under: General — m759 @ 8:00 PM

Histoire d’O :  “I Dreamed a Dream”

Filed under: General — Tags: — m759 @ 11:03 AM

Related material:
Programming for DOS.

The O-Zone

Filed under: General — Tags: — m759 @ 12:49 AM

When Adam delved and Eve span . . . .

Tuesday, October 13, 2020


Filed under: General — m759 @ 9:27 AM


Monday, October 12, 2020

New Fields

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

Old Fields

Filed under: General — Tags: — m759 @ 3:00 AM

Sunday, October 11, 2020

The Weisheit Weekend

Filed under: General — m759 @ 5:54 PM

Related legendary artifacts —

See Isidore of Seville and Ring and Stone.

Saniga on Einstein

Filed under: General — m759 @ 8:25 AM

See Einstein on Acid” by Stephen Battersby
(New Scientist , Vol. 180, issue 2426 — 20 Dec. 2003, 40-43).

That 2003 article is about some speculations of Metod Saniga.

“Saniga is not a professional mystic or
a peddler of drugs, he is an astrophysicist
at the Slovak Academy of Sciences in Bratislava.
It seems unlikely that studying stars led him to
such a way-out view of space and time. Has he
undergone a drug-induced epiphany, or a period
of mental instability? ‘No, no, no,’ Saniga says,
‘I am a perfectly sane person.'”

Some more recent and much less speculative remarks by Saniga
are related to the Klein correspondence —

arXiv.org > math > arXiv:1409.5691:
Mathematics > Combinatorics
[Submitted on 17 Sep 2014]
The Complement of Binary Klein Quadric
as a Combinatorial Grassmannian

By Metod Saniga

“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

Related entertainment —

See Log24 on the date, 17 Sept. 2014, of Saniga’s Klein-quadric article:

Articulation Day.

Thursday, October 8, 2020

Einstein on Poetry

Filed under: General — m759 @ 10:00 AM

“Pure mathematics is, in its way, the poetry of logical ideas.
One seeks the most general ideas of operation which will
bring together in simple, logical and unified form the largest
possible circle of formal relationships.”

— Albert Einstein, May 1, 1935, obituary for Emmy Noether

Wednesday, October 7, 2020

Obscure Superlative

Filed under: General — m759 @ 10:13 AM

From a midrash by Bloom

Between Pyramid and Pentagon

Filed under: General — Tags: — m759 @ 12:34 AM

The 35 small squares between the pyramid and the pentagon
in the above search result illustrate the role of finite geometry
in the Miracle Octad Generator  of R. T. Curtis.

'Then a miracle occurs' cartoon

Cartoon by S. Harris

Tuesday, October 6, 2020


Filed under: General — m759 @ 11:06 PM

A web search for “Wallace Stevens” + Virtuoso  yields . . .

A thousand crystals’ chiming voices,
Like the shiddow-shaddow of lights revolving
To momentary ones, are blended,
In hymns, through iridescent changes,
Of the apprehending of the hero.
These hymns are like a stubborn brightness
Approaching in the dark approaches
Of time and place, becoming certain,
The organic centre of responses,
Naked of hindrance, a thousand crystals.
To meditate the highest man, not
The highest supposed in him and over,
Creates, in the blissfuller perceptions,
What unisons create in music.

— “Examination of the Hero in a Time of War,” XIV

Breaking News

Filed under: General — m759 @ 4:00 PM

Only Connect :  Bulk Apperception* Continues.

Filed under: General — Tags: , — m759 @ 11:49 AM

The above Vanity Fair  article was republished on the Web by VF
on September 3, 2013.  See also this  journal on that date.

Related religious remarks —

* “Bulk apperception” is a phrase from Westworld. See Log24 notes.

Spreads via the Knight Cycle

Filed under: General — Tags: — m759 @ 2:10 AM

A Graphic Construction of the 56 Spreads of PG(3,2)

(An error in Fig. 4 was corrected at about
10:25 AM ET on Tuesday, Oct. 6, 2020.)

Sunday, October 4, 2020

The Language of Flowers

Filed under: General — Tags: — m759 @ 5:02 PM

For Enola Holmes

“Speak softly and carry a big pistil.”

Related musical remarks — The Crooning.

Saturday, October 3, 2020


Filed under: General — m759 @ 11:00 AM

Friday, October 2, 2020

The Dead Poet of Kinsale

Filed under: General — m759 @ 11:11 PM

” Another leading Irish poet, Paul Muldoon,
compared Mr. Mahon to a renowned American writer.
‘A technician to rival Richard Wilbur, by whom he was
deeply influenced both as a poet and translator. . . .’ “

A search in this  journal for Wilbur yields . . .

The Square Inch Space: A Brief History.”

Thursday, October 1, 2020

Legend of the Deep: The Sea of Cortez according to Kafka

Filed under: General — m759 @ 11:00 PM

Other connecting threads:

“Hey, what about Legend of the Deep ?” — Dark Tide , 0:35:15

Annals of Academia

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

New York  magazine’s “The Cut” —

JULY 14, 2016

Why It Took Social Science Years to Correct a Simple Error
About ‘Psychoticism’

By Jesse Singal

“What should we make of all of this? Partly, of course, this is
a story of conflicting personalities, of competitiveness between
researchers, of academics acting — let’s be frank — like dicks.”

Or, worse, like New York Times  reporter Benedict Carey —

A Theory About Conspiracy Theories

In a new study, psychologists tried to get a handle on the personality types that might be prone to outlandish beliefs.

By Benedict Carey, New York Times  science reporter,
on Sept. 28, 2020

. . . .

The personality features that were solidly linked to conspiracy beliefs included some usual suspects: entitlement, self-centered impulsivity, cold-heartedness (the confident injustice collector), elevated levels of depressive moods and anxiousness (the moody figure, confined by age or circumstance). Another one emerged from the questionnaire that aimed to assess personality disorders — a pattern of thinking called “psychoticism.”

Psychoticism is a core feature of so-called schizo-typal personality disorder, characterized in part by “odd beliefs and magical thinking” and “paranoid ideation.” In the language of psychiatry, it is a milder form of full-blown psychosis, the recurrent delusional state that characterizes schizophrenia. It’s a pattern of magical thinking that goes well beyond garden variety superstition and usually comes across socially as disjointed, uncanny or “off.”

In time, perhaps some scientist or therapist will try to slap a diagnosis on believers in Big Lie conspiracies that seem wildly out of line with reality. For now, Dr. Pennycook said, it is enough to know that, when distracted, people are far more likely to forward headlines and stories without vetting their sources much, if at all.
. . . .

Some elementary  fact-checking reveals that historical definitions
of “psychoticism” vary greatly. Carey forwards this bullshit without
vetting his sources much, if at all.

The Stevens Motive

Filed under: General — m759 @ 12:00 PM

See http://m759.net/wordpress/?s=Stevens+Motive .

Hillman on Perception

Filed under: General — Tags: — m759 @ 2:00 AM

James Hillman

“The kind of movement Olson urges is an inward deepening of the image,
an in-sighting of the superimposed levels of significance within it.
This is the very mode that Jung suggested for grasping dreams —
not as a sequence in time, but as revolving around  a nodal complex.”

See also posts tagged The Well.

Well, which is it, Hillman?  Superimposing or revolving?

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