Thursday, December 31, 2020

The Dreaming Jewels . . .

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


Ice Stone

      Meanwhile, in this  journal on the above Ice Stone date —

'Square Ice' figure

Wednesday, December 30, 2020

Space Force

Filed under: General — Tags: — m759 @ 10:08 PM

New Yorker  video  today, at 14:00-14:25 —

“What’s good about KenKen, and Sudoku, and crosswords,
all of those puzzles like that, is that they have grids to be filled in,
empty squares. I think there is something about human nature
that we want to fill up spaces. And if you’re a puzzle person,
or almost anybody, and you see an empty grid, you want to
put something in those spaces. It gives a feeling of satisfaction
that you don’t get often in life and that really feels good.”

— Will Shortz, New York Times  puzzle editor

“I can’t get no… satisfaction….” — The Rolling Stones

The New Yorker  recently restarted the Weiner story,
which includes —

“… the fall of 2017, when he began a twenty-one-month
prison sentence for sexting with a minor.”

“You want to put something in those spaces.”

— Will Shortz, New York Times  puzzle editor

Yes, you do.

Weiner is now with a Brooklyn countertops company called IceStone.

The Whiteboard Jungle

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


A story in numbers:


  It is what it is.

See also the phrase “Beautiful Mathematics” in this  journal.

The Sixteenth Subset

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

A four-set has sixteen subsets.  Fifteen of these symbolize the points
of “the smallest perfect universe,”* PG(3,2).  The sixteenth is empty.

In memory of . . .

Polish this — “The Nothing That Is.”

* Phrase by Burkard Polster.

Tuesday, December 29, 2020

Raiders of the Lost Coordinates

Filed under: General — Tags: , — m759 @ 2:06 PM

Variations on the title theme —

Novus Ordo Seclorum — Harold Bloom and the Tetrahedral Model of PG(3,2)

Memorial by Kinbote for Cardin: WWW

Filed under: General — m759 @ 12:13 PM

A Harvard student* attempts to summarize Nabokov’s aesthetics —

“Take ‘Pale Fire,’ his 1962 poem-as-novel
bursting with butterfly as theme:

‘I can do what only a true artist can do —
pounce upon the forgotten butterfly of revelation …
see the web of the world,
and the warp and the weft of that web.’ “

“True artist” here refers to Kinbote, not Nabokov.

* Tessa K.J. Haining, Harvard Crimson  Contributing Opinion Writer.
Tessa K.J. Haining ’23 lives in Adams House. Her column appears on
alternate Fridays. December 11, 2020.

I Ching  Geometry

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

“Before time began, there was the Cube.”
Hassenfeld Brothers cinematic merchandising slogan

Monday, December 28, 2020

Theology for the Wiener Kreis

Filed under: General — m759 @ 11:00 PM

The previous post suggests a look at The New Yorker  today

Another “core claim” —

Change arises from the structure of the object.

See also Wiener Kreis  and Schlick.

Logos Animation

Filed under: General — Tags: — m759 @ 2:39 PM


Filed under: General — Tags: — m759 @ 1:24 PM

Related material for innocents — Siobhan Roberts
on Conway’s Game of Life in today’s New York Times .

Those desiring greater literary depth may consult
this  journal’s  Gameplayers.

Sunday, December 27, 2020

Knight Move for Trevanian

Filed under: General — Tags: — m759 @ 11:42 PM

Knight move” remark from The Eiger Sanction

“I like to put people on myself by skipping logical steps
in the conversation until they’re dizzy.”

The following logical step — a check of the date Nov. 18, 2017
was omitted in the post Futon Dream  on this year’s St. Stephen’s Day.

For further context, see James Propp in this journal.


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

From today’s post “Logo Animation” —

Related material from the art world —

Related entertainment —

“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.
  Prentice-Hall, 1978. 16-55).

Midrash — Other posts tagged Annihilation.


Filed under: General — Tags: — m759 @ 2:50 PM

Rose reportedly died on Friday (Christmas Day).

Logo Animation

Filed under: General — Tags: — m759 @ 1:32 PM

Related material from Log24 yesterday —

Version of the Aquarius symbol   Click the  Aquarius symbol for a puzzle.

Aquarius.jpg .

A related animation —

Animated diamond theorem


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

“… a revisionist account of The Wonderful Wizard of Oz…
portrays the Wicked Witch of the West ….”

Note the ambiguity of the initials “WW” in the above passage,
mirrored in the current film title “WW84.”

Saturday, December 26, 2020


Filed under: General — m759 @ 11:26 PM

'Winter Count,' by Barry Holstun Lopez, cover with shades of gray

“A colour is eternal.
It haunts time like a spirit.”
— Alfred North Whitehead

As It Were

Filed under: General — Tags: — m759 @ 2:23 PM


Version of the Aquarius symbol

Aquarius.jpg .

For Children of the Labyrinth

Filed under: General — m759 @ 2:02 PM




Futon Dream

Filed under: General — m759 @ 12:00 PM

” There’s a line from the movie ‘The Paper Chase’, in which
the fearsome Professor Kingsfield tells a room of first-year
law-school students ‘You come in here with a skull full of mush …
and you leave thinking like a lawyer.’ “

— James Propp on December 14, 2020, in . . .

Children of the Labyrinth.

Related material — Japanese Bed.

Friday, December 25, 2020

Design Theory

Filed under: General — m759 @ 3:33 PM


The Fano plane block design



The Deathly Hallows symbol—
Two blocks short of  a design.

Another name for the Fano plane design — The Ghostly  Hallows.
From a search in this journal  for Ghostly  —

Ghosts of Christmas Present

Filed under: General — m759 @ 1:04 PM

Related material — Digital Theology  in a search for Dyson Bits.

Circle of Positivity

Filed under: General — m759 @ 12:26 PM

“A quick note on terminology. Members of the Circle
were logical empiricists, sometimes called logical positivists.
Positivism is the view that our knowledge derives from
the natural world and includes the idea that we can have
positive knowledge of it. The Circle combined this position
with the use of modern logic; the aim was to build a new

— Edmonds, David. The Murder of Professor Schlick  (p. vii).
Princeton University Press. Kindle Edition.

For aficionados of associative logic

See Triple Cross  in this journal and the Fano-plane circle
in the illustration below.

Change Arises: Mathematical Examples

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

From old posts tagged Change Arises

From Christmas 2005:

The Eightfold Cube: The Beauty of Klein's Simple Group
Click on image for details.

For the eightfold cube
as it relates to Klein’s
simple group, see
A Reflection Group
of Order 168

For an rather more
complicated theory of
Klein’s simple group, see

Cover of 'The Eightfold Way: The Beauty of Klein's Quartic Curve'

Click on image for details.

The phrase “change arises” is from Arkani-Hamed in 2013, describing
calculations in physics related to properties of the positive Grassmannian


A related recent illustration from Quanta Magazine —

The above illustration of seven cells is not unrelated to
the eightfold-cube model of the seven projective points in
the Fano plane.

Thursday, December 24, 2020

Change Arises: A Literary Example

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

The “Change Arises” part of the title refers to the previous post.
The 1905 “geometric object” there, a 4×4 square, appeared earlier,
in 1869, in a paper by Camille Jordan. For that paper, and the
“literary example” of the title, see “Ici vient M. Jordan .”

This  post was suggested by the appearance of Jordan in today’s
memorial post for Peter M. Neumann by Peter J. Cameron.

Related remarks on Jordan and “geometrical objects” from 2016 —

These reflections are available from their author as a postprint.

Change Arises

Filed under: General — Tags: — m759 @ 1:44 AM

See posts so tagged.

“Change arises from the structure of the object.” — Arkani-Hamed

Related material from 1936 —

Related material from 1905, with the “object” a 4×4 array —

Related material from 1976, with the “object”
a 4×6 array — See Curtis.

Related material from 2018, with the “object”
a cuboctahedron — See Aitchison.

Wednesday, December 23, 2020

Facets . . .

Filed under: General — Tags: , , — m759 @ 2:19 PM


The book by Hesse has many facets ….” (Link added.)

— V. V. Nalimov, In the Labyrinths of Language ,
Ch. 1, “What Language Is,” p. 22.

Related philosophical speculation —

Kind of a Drag

Filed under: General — Tags: — m759 @ 1:59 AM

'Unter den Linden: Berlin's main drag comes back to life'

See also remarks from Berlin on the 6×6 square and . . .
a Harvard illustration from Linden Street —

Associative Logic

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

“The bureaucratic innovations of the New Deal
fed into the powerful associative logic
of commonsense reasoning,
leading a number of Americans to equate science
with the technocratic, managerial liberalism
of Roosevelt and his allies.”


From a Log24 search for “Notes Toward” —

Steven H. Cullinane, 'The Line'

“Logos and logic, crystal hypothesis,
Incipit and a form to speak the word
And every latent double in the word….”
— Wallace Stevens,
Notes Toward a Supreme Fiction

Tuesday, December 22, 2020

Small Venues

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

“… her art was rarely exhibited until the 1970s,
and then only sporadically and in small venues . . . .”

— New York Times  obituary suggested by
today’s review,


“No ordinary venue.” — Song lyric

Related material now linked to in the previous post

David Carradine displays a yellow book-- the Princeton I Ching.

Click on the Yellow Book.

Monday, December 21, 2020

Re Volvo

Filed under: General — Tags: — m759 @ 10:49 AM

A passage quoted above

“The crystal was a sort of magnifying glass,
vastly enlarging the things inside the block.
Strange things they were, too.”

Sunday, December 20, 2020

Principles Before Personalities

Filed under: General — Tags: — m759 @ 9:07 PM

“I Know Him So Well” — The Beckinsale Version

datetime=”2020-12-21T01:08:17.000Z” title=”Dec 20, 2020″


Filed under: General — Tags: — m759 @ 4:01 PM

quotes director Guy Moshe

See also Missing Pieces (Oct. 3, 2009).

Note for Technicians and Theorists

Filed under: General — m759 @ 3:26 PM

See as well Simple Tune and Variation.

Looking Firmly

Filed under: General — m759 @ 2:39 PM

“… and the song of love’s recision is the music of the spheres.”
— E. L. Doctorow, City of God

Doctorow’s remark was quoted here earlier, on February 5, 2009

The central aim of Western religion–

"Each of us has something to offer the Creator...
the bridging of
 masculine and feminine,
 life and death.
It's redemption.... nothing else matters."
-- Martha Cooley in The Archivist (1998)

The central aim of Western philosophy–

 Dualities of Pythagoras
 as reconstructed by Aristotle:
  Limited Unlimited
  Odd Even
  Male Female
  Light Dark
  Straight Curved
  ... and so on ....

“Of these dualities, the first is the most important; all the others may be seen as different aspects of this fundamental dichotomy. To establish a rational and consistent relationship between the limited [man, etc.] and the unlimited [the cosmos, etc.] is… the central aim of all Western philosophy.”

— Jamie James in The Music of the Spheres (1993)

“In the garden of Adding
live Even and Odd…
And the song of love’s recision
is the music of the spheres.”

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

A quotation today at art critic Carol Kino’s website, slightly expanded:

“Art inherited from the old religion
the power of consecrating things
and endowing them with
a sort of eternity;
museums are our temples,
and the objects displayed in them
are beyond history.”

— Octavio Paz,”Seeing and Using: Art and Craftsmanship,” in Convergences: Essays on Art and Literature (New York: Harcourt Brace Jovanovich 1987), 52

From Brian O’Doherty’s 1976 Artforum essays– not on museums, but rather on gallery space:

Inside the White Cube

“We have now reached
a point where we see
not the art but the space first….
An image comes to mind
of a white, ideal space
that, more than any single picture,
may be the archetypal image
of 20th-century art.”


“Space: what you
damn well have to see.”

— James Joyce, Ulysses  

Saturday, December 19, 2020

Classic Romantic

Filed under: General — m759 @ 9:38 PM

Robert M. Pirsig,  Zen and the Art of Motorcycle Maintenance ,
Ch. 6 (italics are mine):

“A classical understanding sees the world primarily as underlying form  itself.
A romantic understanding sees it primarily in terms of immediate appearance .”


Diamond theorem illustrations



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

An Internet search for the anonymous author Quack5quack yields . . .

Friday, December 18, 2020

Notes towards the Redefinition of Culture

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

In the altered headline above, " Q******* " may, if you like,
be interpreted as " Quellers ," an invented term for scholars
who investigate the origins of Christianity.

See the Log24 post "Q is for Quelle " (November 7, 2020).

Dan Brown, like the earlier novelist who wrote The Source ,
is such an investigator  (of sorts), though not a scholar .

(For an example of actual scholarship , see the webpage
That  page may be interpreted as putting the "hit" in "s***.")

De Corpore*

Filed under: General — m759 @ 4:14 PM

* De Corpore  had a negative effect on Hobbes’s scholarly reputation.
The inclusion of a claimed solution for squaring the circle, an apparent
afterthought rather than a systematic development, led to an extended
pamphlet war in the Hobbes-Wallis controversy.  — Wikipedia

Another afterthought, in the style of Kinbote  —
A search in this   journal for Peter M. Neumann
yields a link to Transformations over a bridge (1983 Aug. 16).

Body Space — Annals of Corporate Law

Filed under: General — m759 @ 3:13 PM

In memory of Ralph Winter and Barbara Windsor.

See also . . .

Personally, I prefer  To Catch a Thief

“Breast or Thigh”?

Square Space at Athens

Filed under: General — Tags: — m759 @ 2:37 AM

(A sequel to the previous post, Square Space at Wikipedia)

Cyberpunk and the Dude

Related remarks: A Dec. 16 Wikipedia revision by Quack5quack,
and posts in this  journal tagged Helsinki Math.

Thursday, December 17, 2020

Square Space at Wikipedia

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

The State of Square-Space Art at Wikipedia  as of December 16, 2020,
after a revision by an anonymous user on that date:

See also Square Space at Squarespace.

In Memoriam

Filed under: General — m759 @ 1:29 PM

Composer Harold Budd reportedly died at 84 on December 8
in Arcadia, California.

“The way I work is that
I focus entirely on a small thing
and try to milk that for all it’s worth,
to find everything in it
that makes musical sense,”
Budd explained in a 1997 interview….

Elegy for Budd at NPR

See related remarks in posts now tagged Quartet,
as well as posts now tagged Galois Window.

Just 17

Filed under: General — m759 @ 2:27 AM

On February 10, 2004 (Beijing time), classical pianist
Yuja Wang turned 17.

Meanwhile . . .

Wednesday, December 16, 2020

Kramer’s Cross

Filed under: General — Tags: , — m759 @ 12:21 AM

See Crucial Kramer and Galois Window.

Tuesday, December 15, 2020

Christmas Carol Carré

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

“Comments Off” in the above image may be
regarded as a stage direction.

Update of 11:20 PM ET —

At the Intersection…

Filed under: General — Tags: — m759 @ 4:43 PM

Continues.   The Chanel mandorla in the previous post
suggests a review of a more complex figure — The Venn Lotus.

The Jewel in Venn's Lotus (photo by Gerry Gantt)

Politically correct leftists may be reminded of Intersectionality.

Lars and the Code Girl

Filed under: General — Tags: , — m759 @ 1:04 PM



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

Hurt’s dies natalis  (date of death, in the saints’ sense) was,
it now seems, 25  January 2017, not 27.

A connection, for fantasy fans, between the Philosopher’s Stone
(represented by the eightfold cube) and the Deathly Hallows
(represented by the usual Fano-plane figure) —

Images from a Log24 search for “Holocron.”

Chess Tenet

Filed under: General — Tags: , — m759 @ 3:26 AM

“Together with Tolkien and Lewis, this group forms
the Oxford School of children’s fantasy literature. . . .
They all celebrate the purported wisdom of old stories,
and follow the central tenet that Tolkien set out
for fairy-stories: ‘one thing must not be made fun of,
the magic itself.  That must in the story be taken seriously,
neither laughed at nor explained away.’ “

— A leftist academic’s  essay at aeon.co, “Empire of Fantasy,”
on St. Andrew’s Day, 2020.

Monday, December 14, 2020

Espace Carré

Filed under: General — Tags: , , — m759 @ 3:24 PM

“Leave a space.” — Tom Stoppard, “Jumpers.”

Obituary of a novelist  in The Washington Post  yesterday —

“He gave various explanations for how he chose his nom de plume
le Carré means ‘the square’ in French —
before ultimately admitting he didn’t really know.”

Related material for Dan Brown — Imperial Symbology and . . .

“Together with Tolkien and Lewis, this group forms
the Oxford School of children’s fantasy literature. . . .
They all celebrate the purported wisdom of old stories,
and follow the central tenet that Tolkien set out
for fairy-stories: ‘one thing must not be made fun of,
the magic itself.  That must in the story be taken seriously,
neither laughed at nor explained away.’ “

A leftist academic’s  essay at aeon.co, “Empire of Fantasy,”
on St. Andrew’s Day, 2020.

A more respectable writer on literature and magic —

Postgraduate Studies — The Dragon School

Filed under: General — m759 @ 12:04 AM

Sunday, December 13, 2020

From the Cold

Filed under: General — Tags: , , — m759 @ 5:39 PM

The Alcott Gesture, from the author of Little Women

Filed under: General — m759 @ 4:32 PM

A speaker in Washington, D.C., yesterday —

“We are in a crucible moment in the history
of the United States of America,” he said at
the “Let the Church Roar” rally at the National Mall.

In other drama —

“It’s a gesture, dear, not a recipe.”
— Peggy (Vanessa Redgrave) in a 1987 film.

The above Emma Watson date — Oct. 28, 2014 — suggests
some DC-related remarks in a Log24 search for “The Lost Symbol.”

Puer Viri Pater Est*

Filed under: General — Tags: — m759 @ 1:19 AM

* “Suck any sense from that who can” — Gerard Manley Hopkins

Saturday, December 12, 2020

“Opus Esse Uno”

Filed under: General — m759 @ 11:59 PM

“He said, ‘It’s no coincidence that I study narcissistic leaders,
because it takes one to know one’”

Obituary for a CIA psychologist

Opus esse uno, unum cognoscendi,” the arch-narcissist Veidt
haughtily declares before he does this, which he translates to mean,
“It takes one to know one.”


Dr. Post reportedly died on November 22.

The Craft

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

From The New York Times  on October 29 —

Zoe Lister-Jones on ‘The Craft’ and Women’s Power
by Melena Ryzik

See as well Ryzik in yesterday’s post “After Valentine’s” —

Related material —

The Wrong Stuff

Filed under: General — Tags: , — m759 @ 2:45 PM

Perhaps not.

Would-be psychiatrists might consult
the 1955 Aldous Huxley story “Voices.”

Globe Services

Filed under: General — Tags: — m759 @ 1:16 PM

“Perhaps only Shakespeare manages to create at the highest level
both images and people; and even Hamlet  looks second-rate
compared with Lear .”

— Iris Murdoch, “Against Dryness,” 1961

Byline from a 2019 post — ‘GLOBE STAFF AND NEW SERVICES’ —


Above: Dr. Harrison PopeHarvard professor of psychiatry,
demonstrates the use of the Wechsler Adult Intelligence Scale
“block design” subtest.

 — From a Log24 search for “Harrison Pope.”

Related drama — Other posts tagged Plastic Elements.

Friday, December 11, 2020

After Valentine’s

Filed under: General — m759 @ 2:02 PM

Thursday, December 10, 2020

Popular Mechanics Continues

Filed under: General — m759 @ 12:23 PM

From a review of the new game Cyberpunk 2077

“Oh, you also find out the chip has meshed with
your nervous system, so you can’t take it out, and
that Silverhand’s consciousness will eventually
overtake yours, meaning your body will live on
but not your mind, soul or spirit.

Damn computers.”

— Daniel Van Boom at cnet.com,
Dec. 7, 2020 4:19 p.m. PT
(and under a different title later)

See also the similar plot of Upgrade” (2018) , a film featured in the
Log24 post Popular Mechanics: Midnight Upgrade (Oct. 26, 2019).

STEM Education —

For an earlier form of the plot,
see “Go Chip” in this  journal.

New Light on the Redactedentity Mystery

Filed under: General — m759 @ 2:09 AM

See a Log24 search that includes earlier posts on “Redactedentity.”

Recent activity by that entity at the Encyclopedia of Mathematics:

As the above “recent changes” list notes, Redactedentity added
a new favicon section to Talk:EoM on December 7, 2020.  Details —

The new section as it appeared later, with “Redactedentity”
replaced by “Mihir Narayanan” —

Evidence that 'Redactedentity' may be someone named Mihir Narayanan.

Update at 5:35 PM ET on Thursday, Dec. 10, 2020 —

User “Redactedentity” at Wikipedia is now user “Mihir Narayanan.”

A Date Which

Filed under: General — m759 @ 12:44 AM

From the Net on December 7, 2020 —

Some background for academics:

“The Self Regained”: Cyberpunk’s Retreat
to the Imperium  by Sharon Stockton (1995)

A review dated December 7:

Crimson Peak*

Filed under: General — m759 @ 12:00 AM

See the previous post and Butcher’s Clay (March 29, 2014).

* The title refers to a film starring Jessica Chastain.

See also Chastain in Annals of Subliminal Typography.

Wednesday, December 9, 2020


Filed under: General — Tags: — m759 @ 4:34 PM

Rosenbaum has a fluent style that can
pivot and change direction on a single word ….”

The above quotation results from a search
in this journal for golem.

That search resulted from today’s previous post,
Clay Risen.

Related conceptual art —

“You’ve got to be carefully taught . . . .” — Oscar Hammerstein II.
See as well the word undoing   in a post of December 6.

Clay Risen

Filed under: General — Tags: — m759 @ 3:34 PM

The title, which suggests a combination of musings by James Joyce
and Gerard Manley Hopkins, is actually a person’s name. See below.

Programming with Windows

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

“Program or be programmed.” — Douglas Rushkoff

Detail —

The part of today’s online Crimson  front page relevant to my own
identity work  (see previous post) is the size, 4 columns by 6 rows,
of the pane arrays in the windows of Massachusetts Hall.

See the related array of 6  columns by 4  rows in the Log24 post
Dramarama  from August 6 (Feast of the Transfiguration), 2020.

“Identity Work”

Filed under: General — m759 @ 2:07 PM

The title is a phrase I encountered today in a search for background
on the anonymous Wikipedia user whose first “user talk” page is as
follows —

First Wikipedia 'user talk' page for 'Redactedentity' with a reference to 'CrazyMinecart88'

See also CrazyMinecart88 at
https://en.wikipedia.org/wiki/User:CrazyMinecart88 .

“… the disclosure of knowledge as it is
intimately bound up with identity work”

— “Awarding the self in Wikipedia : Identity work
and the disclosure of knowledge,” by Daniel Ashton.
First Monday, Volume 16, Number 1 – 3 January 2011.

Some mine cart  “identity work” of my own —

Tuesday, December 8, 2020

Another Damned Dyslexic

Filed under: General — Tags: — m759 @ 5:11 PM

The Importance of Being Ernst —

In the above Wikipedia revision today, the anonymous user “Redactedentity”
found that the article Kummer surface omitted Kummer’s first name
and so changed “authorlink=Ernst Kummer|last=Kummer” to
“authorlink=Ernst Kummer|last=Ernst Kummer.” This fixed the
omission but makes no sense as a statement of parameters.

“Redactedentity” was apparently unable to read the following page,
which explains that “last=” is for the author’s last  name —

Of course, this revision may be merely an instance of trolling or of
the sort of humor sometimes found among  people with the following

See also Pazouzou.

Best Meets Bester

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

The New York Times  online today —

Menu bar above a book review: “The Best of 2020.”

Alfred Bester —

Related search results

Monday, December 7, 2020

The Right Stuff

Filed under: General — m759 @ 11:57 PM

Sunday, December 6, 2020

The Undoing

Filed under: General — m759 @ 10:16 PM

Today’s earlier post “Binary Coordinates” discussed a Dec. 6
revision to the Wikipedia article on PG(3,2), the projective
geometry of 3 dimensions over the 2-element field GF(2).

The revision, which improved the article, was undone later today
by a clueless retired academic, one William “Bill” Cherowitzo,
a professor emeritus of mathematics at U. of Colorado at Denver.
(See his article “Adventures of a Mathematician in Wikipedia-land,”
MAA Focus , December 2014/January 2015.)

See my earlier remarks on this topic . . . specifically, on this passage —

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

As I noted on November 17, this is bullshit. Apparently Cherowitzo
never bothered to find out that an arbitrary  “3-(16,4,1) block design”
(an example of a Steiner quadruple system ) does not  yield a PG(3,2).

PG(3,2) is derived from the classical  3-(16,4,1) block design formed by the affine
space of 4 dimensions over GF(2).  That  design has 322,560 automorphisms.
In contrast, see a 3-(16,4,1) block design that is  automorphism-free.

Theology for St. Nicholas

Filed under: General — Tags: — m759 @ 3:36 PM

From a cartoon graveyard —

See as well a father, a son, and a (sort of) ghost:

Richard K. Guy in “A Cross for von Sydow,”
his son, M. J. T. Guy, and Mirror Guy.

“Binary Coordinates”

Filed under: General — Tags: — m759 @ 3:09 PM

The title phrase is ambiguous and should be avoided.
It is used indiscriminately to denote any system of coordinates
written with 0 ‘s and 1 ‘s, whether these two symbols refer to
the Boolean-algebra truth values false  and  true , to the absence
or presence  of elements in a subset , to the elements of the smallest
Galois field, GF(2) , or to the digits of a binary number .

Related material from the Web —

Some related remarks from “Geometry of the 4×4 Square:
Notes by Steven H. Cullinane” (webpage created March 18, 2004) —

A related anonymous change to Wikipedia today —

The deprecated “binary coordinates” phrase occurs in both
old and new versions of the “Square representation” section
on PG(3,2), but at least the misleading remark about Steiner
quadruple systems has been removed.

Saturday, December 5, 2020


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

3x3 array, title in center, for film 'The Group'

See as well Ballet Blanc .

At the Still Point

Filed under: General — m759 @ 2:16 PM

The photo of Lauren German from “Standing Still” (2005) in the
previous post suggests some related material for comedians:

The above character-creator name “Neil Gaiman” occurs here
in a post from June 2013 —

The above footnote refers to . . .

More merriment:  Lauren German in a video of the related song
“Another One Bites the Dust.”

The Devil Likes Metamorphoses.

Friday, December 4, 2020

German Lesson: Untergang

Filed under: General — Tags: — m759 @ 11:37 PM

The recent posts “Bunker Bingo” and “Here’s to Efficient Packing!
suggest a review.

Alex Ross in The New Yorker  on Dec. 2, 2020, on the German
word “Untergang ” —

“The usual translation is ‘downfall,’ although
the various implications of the word—
literally, “going-under”—are difficult to capture
in English. In some contexts, Untergang  simply
means descent: a sunset is a Sonnenuntergang .

Lauren  German in a 2005 film —

See as well . . .

Here’s to Efficient Packing!

Filed under: General — Tags: , — m759 @ 4:19 PM

"Rock music from car . . ." 


Devil Music … Now in Infernovision!

Filed under: General — Tags: — m759 @ 3:26 PM

IMAGE- 'Devil Music' from 'Kaleidoscopes- Selected Writings of H.S.M. Coxeter'


20 pages of incidental music written at school
for G. K. Chesterton’s play MAGIC

by D. Coxeter.”

See also other posts now tagged Infernovision.


Filed under: General — Tags: — m759 @ 1:35 PM

Ghostbusters — The Interview —


Filed under: General — Tags: , — m759 @ 1:12 AM


Thursday, December 3, 2020

Unframed Prime

Filed under: General — Tags: — m759 @ 10:30 PM

A Veritable Frame

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

A search in this journal for “Jean Brodie” suggests a review —

“A professor is all-powerful, Gareth liked to tell his daughter, he puts
‘a veritable frame around life,’ and ‘organizes the unorganizable.
Nimbly partitions it . . . .'”

Review of Special Topics in Calamity Physics , Aug. 13, 2006

For Alison Lurie (Sept. 3, 1926 — December 3, 2020)

Filed under: General — Tags: — m759 @ 8:26 PM

“Once upon a time there was a classroom.”
— Zenna Henderson, “Loo Ree

See as well other posts now tagged Lurie.

Pilgrim’s Progress

Filed under: General — m759 @ 12:34 PM

A reported death on November 22 —

An image reproduced in this  journal on November 22 —

Bunker Bingo

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

See as well 5×5The Matrix of Abraham,  and Deutsche Schule Montevideo .

IMAGE- Right 3-4-5 triangle with squares on sides and hypotenuse as base

“If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”

— Henry David Thoreau

Brick Joke

Filed under: General — Tags: , , — m759 @ 10:56 AM

The “bricks” in posts tagged Octad Group suggest some remarks
from last year’s HBO “Watchmen” series —

Related material — The two  bricks constituting a 4×4 array, and . . .

“(this is the famous Kummer abstract configuration )”
Igor Dolgachev, ArXiv, 16 October 2019.

As is this


The phrase “octad group” does not, as one might reasonably
suppose, refer to symmetries of an octad (a “brick”), but
instead to symmetries of the above 4×4 array.

A related Broomsday event for the Church of Synchronology

Tuesday, December 1, 2020

How many lightbulbs … ?

Filed under: General — Tags: — m759 @ 10:59 PM

Lurking at the Roots

Filed under: General — m759 @ 10:40 PM

Beach Rocks

Filed under: General — m759 @ 9:40 PM

The Beach  is a 1996 novel by English author Alex Garland.” — Wikipedia

Windows lockscreen today —

Another part of the lockscreen, later . . .

Related* mystical remark on a legendary artifact —

As above, so below.“**

Animation adapted from a legendary diagram

Braucht´s noch Text?

* The “9” and “16” may be viewed as referring to areas —
both above and below the hypotenuse — bordering a
3-4-5 triangle illustrating Euclid’s proposition I.47.

** An “established rule of law across occult writings.

Annals of Subliminal Typography

Filed under: General — Tags: , — m759 @ 1:20 PM

We all know the song.” — Today’s 11:07 AM ET post.


Filed under: General — Tags: — m759 @ 12:40 PM

The tinfoil link in the previous post suggests a review.

The Wikipedia article on the Harvard Psilocybin Project links to . . .

Beach Tips from Microsoft

Filed under: General — Tags: , — m759 @ 11:07 AM
Beach and Rocks

Windows lockscreen, morning of December 1, 2020.

Related security tips. . . See tinfoil.   “We all know the song.

Image related to last night’s post “Time Class” —

Time Class

Filed under: General — Tags: , — m759 @ 1:41 AM

(Tom Ford directed “Nocturnal Animals.”)

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