From the previous post —
Many will prefer snazzier potions —
These were available as NFTs recently . . .
See some.place. And then there is nine.place.
From the previous post —
Many will prefer snazzier potions —
These were available as NFTs recently . . .
See some.place. And then there is nine.place.
"It’s important, as art historian Reinhard Spieler has noted,
that after a brief, unproductive stay in Paris, circa 1907,
Kandinsky chose to paint in Munich. That’s where he formed
the Expressionist art group Der Blaue Reiter (The Blue Rider) —
and where he avoided having to deal with cubism."
— David Carrier,
Images from an earlier Christmas Day, in 2005 —
"Jesus Christ, Adam. I need you to play it cool."
See as well this journal on February 10, 2010 —
A Midrash for Levy —
That was then, this is now —
Be careful what you wish for.
For the Unicorn School —
<time class="_1o9PC"
datetime="2022-04-10T06:41:25.000Z"
title="Apr 10, 2022">4 hours ago
</time>
From posts tagged Unicorn Language —
Some will prefer the Dragon School . . .
of Tom Hiddleston, Emma Watson, and Humphrey Carpenter.
"National Unicorn Day" was yesterday . Today's mythical creature —
the villainous spymaster of The Eiger Sanction , Yurasis Dragon.
The previous post was in memory of one Eleanor Munro.
A different literary Munro —
And then there is Hector Hugh Munro, pen name Saki . . .
See lumber room in this journal (Nov. 30 – Dec. 3, 2016), and
later Ghost Ship tales in a post of December 22, 2016.
The author of the above title is featured in
a New York Times obituary today. Another
book by the same author, On Glory Roads,
appears in some related readings here .
Also on the above publication date —
Conrad K. Die beginnende Schizophrenie.
Stuttgart, Germany: Thieme Verlag; 1958.
Conrad K. Gestaltanalyse und Daseinsanalytik.
Nervenarzt. 1959; 30: 405–410.
"Reviewing Ms. Allen’s staging of Ibsen’s
'When We Dead Awaken'
at Stage West in 1977, Mr. Barnes wrote that
it had 'speed, conviction and perception.'"
— Richard Sandomir today reviewing the life of Rae Allen.
From the conclusion of that Ibsen play —
"Pax vobiscum."
See as well the YouTube comments below, on Allen
in the film version (1958) of "Damn Yankees" —
The above out-of-context quotation illustrates the following lesson,
from the Amazon.com page quoted in this moning's Souls at Stanford —
See as well 1949 in the April 7 post
The Usual Suspects.
"Accepting the award, Mr. Logan said, 'I have a hunch
that this is as near to immortality as I'll ever get.'"
— Mel Gussow in The New York Times, March 10, 1975
In memory of a musical that opened on this date —
April 7 — in 1949 . . .
See the same date in The Source , by James Michener (1965):
Architectural theorist Jeffrey Kipnis in 1991, recalled here in 2015 —
For the source of the illustration, see Hexagram 14.
For the former, see Warburg in this journal.
For the latter, see beadgame.space on the Web.
"Godard, in the final analysis, expands the Warburgian programme
of iconology into that of a cinematographic iconology of the interstice."
— The author of the essay quoted in the previous post.
Related material: Blue Guitar.
From a post of April 1 —
A related post by Terry Tao on September 14, 2007 —
The comments on Tao's post contain a reference to Polya's classic
Induction and Analogy in Mathematics . (See pp. 15-17.) Polya notes
on page 15 —
"Generalization, Specialization, and Analogy often concur
in solving mathematical problems. Let us take as an example
the proof of the best known theorem of elementary geometry,
the theorem of Pythagoras. The proof that we shall discuss is
not new; it is due to Euclid himself (Euclid VI, 31)."
Compare and contrast with the Glass-Bead essay in the previous post —
The Caramello essay is backed up by some impressive technical work:
Some may prefer a different sort of dream . . .
Background for the Stimmung dream, from May 2019 —
For a different type of lifeworld, see May 2019 in this journal.
… From the online New York Times this evening.
* Vide that phrase in this journal.
See also the previous post and . . .
On Sept. 12, 2001, The Washington Post published
an opinion essay by General Boyd in which he wrote,
“While we may feel at the moment as though we are
in a trance, we are, in fact, awakening.”
— Katharine Q. Seelye in the general's obituary.
Update of 11:30 AM ET April 1, 2022 — A simpler version:
The above picture may be used to to introduce the concept of a "shape constant"
in similar figures — like the shape constant pi in a circle or the square root of 2
in a square. In each of the three similar figures at right above, the ratio of the
triangular area to the area of the attached square is a shape constant …
the same, because of their similarity, for each of the three shapes. Since the
areas of the top two triangles at right sum to that of the enclosed triangle at left,
their attached square areas sum to the area of the bottom square, Q.E.D.
The source of the proof —
There were no Log24 posts on March 17 or March 19.
From a March 18 post, a flashback to February —
"In The Girl Before, the house is almost a shapeshifter as it fits
the needs of the story. Sometimes it feels like an art gallery,
with its inhabitants on display. It's a smart home (of course it is),
and its automated locks and lights and creepily intuitive A.I.
give it the feel of a high-tech prison. Sometimes it's a mausoleum
for Jane, who's dealing with the recent pain of a miscarriage.
Sometimes it's a fortress for Emma, who's dealing with the recent
trauma of a home invasion." — Joe Reid at Primetimer.com.
Click to enlarge.
Related reading — George Steiner's Fields of Force , on chess in Iceland, and . . .
The New Yorker , article by Sam Knight dated March 28, 2022 —
They went to Björk’s house. She cooked salmon.
She had seen “The Witch” and introduced Eggers
to Sjón, who had written a novel about seventeenth-
century witchcraft in Iceland. When he got home,
Eggers read Sjón’s books. “I was, like, this guy’s
a fucking magician,” Eggers said. “He sees all time,
in time, out of time.”
See box-space.design.
Related cinematic remarks —
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" * * * * 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 |
See as well Warburg in this journal.
The New York Times reports that the architectural theorist
died at 85 on March 17. In his memory . . .
Christopher Alexander in this journal.
"Design is how it works ." — Steve Jobs. See interality.org.
Name Tag | .Space | .Group | .Art |
---|---|---|---|
Box4 |
2×2 square representing the four-point finite affine geometry AG(2,2). (Box4.space) |
S4 = AGL(2,2) (Box4.group) |
(Box4.art) |
Box6 |
3×2 (3-row, 2-column) rectangular array representing the elements of an arbitrary 6-set. |
S6 | |
Box8 | 2x2x2 cube or 4×2 (4-row, 2-column) array. | S8 or A8 or AGL(3,2) of order 1344, or GL(3,2) of order 168 | |
Box9 | The 3×3 square. | AGL(2,3) or GL(2,3) | |
Box12 | The 12 edges of a cube, or a 4×3 array for picturing the actions of the Mathieu group M12. | Symmetries of the cube or elements of the group M12 | |
Box13 | The 13 symmetry axes of the cube. | Symmetries of the cube. | |
Box15 |
The 15 points of PG(3,2), the projective geometry of 3 dimensions over the 2-element Galois field. |
Collineations of PG(3,2) | |
Box16 |
The 16 points of AG(4,2), the affine geometry of 4 dimensions over the 2-element Galois field. |
AGL(4,2), the affine group of |
|
Box20 | The configuration representing Desargues's theorem. | ||
Box21 | The 21 points and 21 lines of PG(2,4). | ||
Box24 | The 24 points of the Steiner system S(5, 8, 24). | ||
Box25 | A 5×5 array representing PG(2,5). | ||
Box27 |
The 3-dimensional Galois affine space over the 3-element Galois field GF(3). |
||
Box28 | The 28 bitangents of a plane quartic curve. | ||
Box32 |
Pair of 4×4 arrays representing orthogonal Latin squares. |
Used to represent elements of AGL(4,2) |
|
Box35 |
A 5-row-by-7-column array representing the 35 lines in the finite projective space PG(3,2) |
PGL(3,2), order 20,160 | |
Box36 | Eurler's 36-officer problem. | ||
Box45 | The 45 Pascal points of the Pascal configuration. | ||
Box48 | The 48 elements of the group AGL(2,3). | AGL(2,3). | |
Box56 |
The 56 three-sets within an 8-set or |
||
Box60 | The Klein configuration. | ||
Box64 | Solomon's cube. |
— Steven H. Cullinane, March 26-27, 2022
From the "Mathematics and Narrative" link in the previous post —
An image reposted here on March 12, 2022, the reported date of death
for Vera Diamantova —
Helen Mirren with plastic Gankyil .
"Solomon Golomb’s classic book Shift Register Sequences,
published in 1967—based on his work in the 1950s—
went out of print long ago. But its content lives on. . . ."
For part of that content, see Stencils .
A :Log24 post from the date of Golomb's death —
See as well other posts on Mathematics and Narrative.
Images reposted here on March 9 . . .
the reported date of death for film director John Korty —
The quotation is from a professor of mathematics at Spelman College.
"… Wade’s entire life is built around the squid attack. In the episode’s opening, we see that 34 years ago, young Wade was at a carnival in Hoboken, New Jersey, proselytizing as a Jehovah’s Witness when the squid emitted a psychic blast that killed three million people in the New York area. Just before the attack, a girl led him into a house of mirrors, feigning interest in hooking up with him in order to steal his clothes, leaving him naked and humiliated in the fairground attraction. But the cruel prank also saved his life, as mirrors can apparently repel the squid's psychic blast." |
Related literary remarks —
"It may have been by chance, and it may have had the side effect of being easy to read, but this way of putting a novel together offered a bridge between the miniaturist in Doerr and the seeker of world-spanning connections. He could focus on the details of every piece in the narrative, but there was pleasure, too, in placing them against each other. Sometimes he would lay out all these micro chapters on the floor so he could see them and discover the resonances between characters across space and time. 'That’s the real joy,' Doerr said, 'the visceral pleasure that comes from taking these stories, these lives, and intersecting them, braiding them.'" — "A version of this article appears in print on Sept. 20, 2021, Section C, Page 4 of the New York edition with the headline: Bringing His Readers To Higher Ground." |
Nautilus , March 10, 2022 —
Earlier . . . From "Deep Learning for Jews," July 17, 2018 —
* See Watchmen in this journal.
Finesse —
Sunday December 10, 2006 m759 @ 9:00 PM
“Function defined form, expressed in a pure geometry
– J. G. Ballard on Modernism
“The greatest obstacle to discovery is not ignorance –
— Daniel J. Boorstin, |
Geometrie —
The previous post suggests a review of
a Log24 post from August 22, 2020 —
From a web page —
From YouTube, for the Church of Synchronology —
For some context, see Holocron in this journal.
"Weight limit 10 tons… Except local deliveries" —
Conclusion: the book is a mine of information, but
you sure have to dig for it. — Paul R. Halmos,
review of Topological Dynamics , November 1955
"Poincaré said that science is no more a collection of facts than a house is a collection of bricks. The facts have to be ordered or structured, they have to fit a theory, a construct (often mathematical) in the human mind. … Mathematics may be art, but to the general public it is a black art, more akin to magic and mystery. This presents a constant challenge to the mathematical community: to explain how art fits into our subject and what we mean by beauty. In attempting to bridge this divide I have always found that architecture is the best of the arts to compare with mathematics. The analogy between the two subjects is not hard to describe and enables abstract ideas to be exemplified by bricks and mortar, in the spirit of the Poincaré quotation I used earlier."
— Sir Michael Atiyah, "The Art of Mathematics" |
Gottschalk Review —
W. H. Gottschalk and G. A. Hedlund, Topological Dynamics, The ending of the review — The most striking virtue of the book is its organization. The authors' effort to arrange the exposition in an efficient order, and to group the results together around a few central topics, was completely successful; they deserve to be congratulated on a spectacular piece of workmanship. The results are stated at the level of greatest available generality, and the proofs are short and neat; there is no unnecessary verbiage. The authors have, also, a real flair for the "right" generalization; their definitions of periodicity and almost periodicity, for instance, are very elegant and even shed some light on the classical concepts of the same name. The same is true of their definition of a syndetic set, which specializes, in case the group is the real line, to Bohr's concept of a relatively dense set. The chief fault of the book is its style. The presentation is in the brutal Landau manner, definition, theorem, proof, and remark following each other in relentless succession. The omission of unnecessary verbiage is carried to the extent that no motivation is given for the concepts and the theorems, and there is a paucity of illuminating examples. The striving for generality (which, for instance, has caused the authors to treat uniform spaces instead of metric spaces whenever possible) does not make for easy reading. The same is true of the striving for brevity; the shortest proof of a theorem is not always the most perspicuous one. There are too many definitions, especially in the first third of the book; the reader must at all times keep at his finger tips a disconcerting array of technical terminology. The learning of this terminology is made harder by the authors' frequent use of multiple statements, such as: "The term {asymptotic } {doubly asymptotic } means negatively {or} {and} positively asymptotic." Conclusion: the book is a mine of information, but you sure have to dig for it. — PAUL R. HALMOS |
On Doctor Strange in Spider-Man: No Way Home —
"This all-powerful wizard really used 'Scooby-Doo' as a verb
meaning 'successfully pull off a series of physical challenges
against monsters who are real.' What in the dad-trying-to-
relate-to-his-distant-son hell? That's like pumping someone up
to kick a game-winning field goal by saying 'Charlie Brown this crap.'"
— Vinnie Mancuso at Collider , November 17, 2021
But seriously . . .
From posts tagged Frankfurter —
"Scooby-Doo this ."
The above image suggests a review of Sigaud in this journal and of . . .
Related material from the Web —
"Anubis, easily recognizable as an anthropomorphized jackal or dog,
was the Egyptian god of the afterlife and mummification. He helped
judge souls after their death and guided lost souls into the afterlife.
So, was he evil? No, and in fact just the opposite. In ancient Egyptian
mythology the ultimate evil was chaos. Nearly all of Egyptian mythology
was focused around maintaining the cycles of cosmic order that kept
chaos at bay. Few things were as significant in this goal as the rituals
maintaining the cycle of life, death, and afterlife. Therefore, Anubis was
not evil but rather one of the most important gods who kept evil out of Egypt."
— Christopher Muscato at Study.com
"On a crisp Fall morning…." — The late Maureen Howard, writer of fiction.
Non-fiction: Feb. 19, 2022,
https://news.yahoo.com/frances-haugen-
on-meta-headquarters-122958675.html —
FRANCES HAUGEN: To give you a sense of how absurd the space is,
so Facebook is obsessed with 15 and 30-minute meetings. It's like they're
very efficient, everyone's– they're obsessed with the word crisp, like are
your documents crisp, is your explanation crisp? The space is so large that
I would regularly walk 15 minutes, 10, 15 minutes to go to a 30-minute meeting.
And again, fiction . . .
See other posts now so tagged.
Hudson's Rosenhain tetrads, as 20 of the 35 projective lines in PG(3,2),
illustrate Desargues's theorem as a symmetry within 10 pairs of squares
under rotation about their main diagonals:
See also "The Square Model of Fano's 1892 Finite 3-Space."
The remaining 15 lines of PG(3,2), Hudson's Göpel tetrads, have their
own symmetries . . . as the Cremona-Richmond configuration.
See as well the life of a real astrophysicist.
Update of 12:26 PM ET March 15:
Vide other posts now tagged The Rosenhain Symmetry.
"I’ve lived five years on the edge of the continent,
and over those years I’ve shed one skin and grown into another."
— Steinhauer, Olen. All the Old Knives (p. 222).
St. Martin's Publishing Group. Kindle Edition.
(Hardcover first edition: Minotaur Books, March 10, 2015.)
So to speak.
"… Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery."
— Sir Michael Atiyah, quoted here on April 4, 2016.
* Recent role of Ewan McGregor, the camerlengo of Dan Brown.
** Mashup of the C. S. Lewis wardrobe and the previous post.
The "branding" part of this post's title and tag —
The scene went from bad to worse. The camerlengo’s torn cassock, having been only laid over his chest by Chartrand, began to slip lower. For a moment, Langdon thought the garment might hold, but that moment passed. The cassock let go, sliding off his shoulders down around his waist. The gasp that went up from the crowd seemed to travel around the globe and back in an instant. Cameras rolled, flashbulbs exploded. On media screens everywhere, the image of the camerlengo’s branded chest was projected, towering and in grisly detail. Some screens were even freezing the image and rotating it 180 degrees. The ultimate Illuminati victory. Langdon stared at the brand on the screens. Although it was the imprint of the square brand he had held earlier, the symbol now made sense. Perfect sense. The marking’s awesome power hit Langdon like a train. Orientation. Langdon had forgotten the first rule of symbology. When is a square not a square? He had also forgotten that iron brands, just like rubber stamps, never looked like their imprints. They were in reverse. Langdon had been looking at the brand’s negative ! As the chaos grew, an old Illuminati quote echoed with new meaning: ‘A flawless diamond, born of the ancient elements with such perfection that all those who saw it could only stare in wonder.’ Langdon knew now the myth was true. Earth, Air, Fire, Water. The Illuminati Diamond. — Dan Brown, Angels & Demons |
I prefer Modal Nietzsche.
In a 1999 Yale doctoral dissertation,
"Diabolical Structures in the Poetics of Nikolai Gogol,"
the term "antilogos" occurs 70 times.
Students of poetic structures may compare and contrast . . .
Logos
Antilogos
Cable was born in Akeley, Pennsylvania, in 1932 and graduated
from Warren High School in nearby Warren PA in 1950.
The "online remembrance" is at the Meadville Tribune.
Members of the Church of Synchronology may consult this journal's
posts on the date of Cable's reported death.
The Stonecutter
|
This post is in honor of Thandiwe Newton, intimacy coordinator.
The title of the previous post suggests a search for
Shubnikov in this journal. That search yields a 1999
Yale doctoral dissertation,
"Diabolical Structures in the Poetics of Nikolai Gogol."
A related image:
From "Made for Love" (2021) — Lyle Herringbone:
Supercube.space, supercube.group, supercube.art.
See also the Supercube channel at are.na.
In Memoriam:
Widely quoted description of Russia —
"A gas station with nukes."
See also . . . The Tenet Prom.
See also the previous post and the new URL cube.salon
that forwards to posts containing the following offensive remark:
The new URL supercube.space forwards to http://box759.wordpress.com/.
The term supercube is from a 1982 article by Solomon W. Golomb.
The related new URL supercube.group forwards to a page that
describes how the 2x2x2 (or eightfold, or "super") cube's natural
underlying automorphism group is Klein's simple group of order 168.
For further context, see the new URL supercube.art.
For some background, see the phrase Cube Space in this journal.
By the Daniel J. Peterson whose Swarthmore honors thesis was quoted
here last night —
"What, then, is the relationship between theory-relative symmetries
(physical symmetries) and theory-independent symmetries
(overarching symmetries)? My statement of this problem is
a bit abstract, so let’s look at an example: classical Newtonian gravity
and classical electromagnetism . . . ."
— Prospects for a New Account of Time Reversal
by Daniel J. Peterson, Ph.D. dissertation, U. Mich., 2013, p. 16.
Another 2013 approach to the word "overarching" and sytmmetries —
Other terms of interest: Tenet , Nolanism , and Magic for Liars .
This afternoon's post with the phrase
"Eternal Word Meets Eternal World"
suggests a book —
A search in this journal for "world within" yields . . .
"Instead of the 'static spacetime jewel' of blockworld that is often invoked by eternalists to help their readers conceptualize of what a blockworld would 'look like' from the outside, now imagine that a picture on a slide is being projected onto the surface of this space-time jewel. From the perspective of one inside the jewel, one might ask 'Why is this section blue while this section is black?,' and from within the jewel, one could not formulate an answer since one could not see the entire picture projected on the jewel; however, from outside the jewel, an observer (some analogue of Newton's God, perhaps, looking down on his 'sensorium' from the 5th dimension) could easily see the pattern and understand that all of the 'genuinely fortuitous' events inside the space-time jewel are, in fact, completely determined by the pattern in the projector." — "Genuine Fortuitousness, Relational Blockworld, Realism, and Time" (pdf), by Daniel J. Peterson, Honors Thesis, Swarthmore College, December 13, 2007, footnote 55, page 114 |
A related image from pure mathematics —
* The title is thanks to William Gass.
The name of the author in the above search result suggests . . .
See as well yesterday's Art for Jokers .
Eternal Word Meets Eternal World.
Related words … Posts tagged Meta.
Clay himself might prefer Chicks for Hicks.
From earlier today . . .
"Eyes that look like heaven,
lips like cherry wine . . . .
My heart's on fire . . . ."
For a similar phrase, see
"When things look bleak critically for the DC brand,
the bat-signal is always there."
"… in the Logic of Scientific Discovery Popper introduces
the technical concept of a 'basic statement' or 'basic proposition,'
which he defines as a statement which can serve as a premise
in an empirical falsification and which takes the singular existential
form 'There is an X at Y .' Basic statements are important because
they can formally contradict universal statements, and accordingly
play the role of potential falsifiers."
— https://plato.stanford.edu/entries/popper/
The parquet floor supporting Lily Collins in today's noon-hour post
suggests a search in this journal for parquet.
A resulting quote from Henry James —
"… the high party-walls,
on the other side of which
grave hôtels stood off for privacy,
spoke of survival, transmission, association,
a strong indifferent persistent order."
As do the three Dark Materials images in the search.
Giddy up a oom papa oom papa mow mow Giddy up a oom papa oom papa mow mow G7 C Hi-yo silver away
"In Zuckerberg's metaverse, humans are represented by legless avatars."
Elsewhere . . .
Click for some context.
Instagram two days ago —
Compelled to Layer
"From the moment he penciled his first sketch
for the new Grand Rapids Art Museum (GRAM)
in Grand Rapids, Mich., architect Kulapat Yantrasast
was inspired by more than art. A native of Thailand
and a partner in the Los Angeles firm Workshop
Hakomori Yantrasast (wHY), Yantrasast, 39, felt
compelled to layer the building's primary role—
as a place for displaying art—with activities that
would naturally attract people. " [Link added.]
— https://www.architectmagazine.com/design/
buildings/gram-green_o , October 4, 2007
See Sith Pyramid and Jedi Cube .
Related reading . . .
Pyramid:
https://www.theguardian.com/commentisfree/
2022/feb/27/vladimir-putin-russia-ukraine-power
Cube:
"To enter into the world of Putin’s favorite philosophers
is to enter a world full of melodrama, mysticism and
grandiose eschatological visions."
— David Brooks in the online New York Times on March 3, 2014
Scholium:
This journal on the above NY Times date —
From a New York Times obituary online today —
“He was an absolutely brilliant reader
at taking what seemed to be the knots,
or the impenetrability, or the downright
insanity of a piece of writing, and just
saying, ‘Hey, guys, that’s the point.’”
See as well Humpty Dumpty and unit e .
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