Sunday, November 19, 2023
Heinlein:
"Sharpie, we have condensed six dimensions into four,
then we either work by analogy into six, or we have to use math
that apparently nobody but Jake and my cousin Ed understands.
Unless you can think of some way to project six dimensions into three–
you seem to be smart at such projections."
I closed my eyes and thought hard. "Zebbie, I don't think it can be done.
Maybe Escher could have done it."
Escher’s Verbum
Solomon’s Cube
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From "Glamour" in this journal —
Meets . . .
Creature from the Blue Lagoon
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Saturday, November 18, 2023
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André Weil to his sister:
From this journal at 1:51 AM ET Thursday, September 8, 2022 —
"The pleasure comes from the illusion" . . .
Exercise:
Compare and contrast the following structure with the three
"bricks" of the R. T. Curtis Miracle Octad Generator (MOG).
Note that the 4-row-2-column "brick" at left is quite
different from the other two bricks, which together
show chevron variations within a Galois tesseract —
.
Further Weil remarks . . .
A Slew of Prayers
"The pleasure comes from the illusion
and the far from clear meaning;
once the illusion is dissipated,
and knowledge obtained, one becomes
indifferent at the same time;
at least in the Gitâ there is a slew of prayers
(slokas) on the subject, each one more final
than the previous ones."
* —
Comments Off on “Don’t solicit for your sister,* it’s not nice.” — Tom Lehrer
Friday, November 17, 2023
In memory of a graphic-design figure who reportedly died
on Monday, Nov. 13, 2023 — images from a post on that date —
"The great aim is accurate, precise and definite description . . . . "
— T. E. Hulme, Speculations: Essays on Humanism and the
Philosophy of Art, ed. Herbert Read. London and New York:
Routledge and Kegan Paul, 1987. First published 1924.
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From Chapter 23, "Poetry," by Adam Parkes, in
A Companion to Modernist Literature and Culture,
edited by David Bradshaw and Kevin J. H. Dettmar,
Blackwell Companions to Literature and Culture,
© 2006 by Blackwell Publishing Ltd.
Writing in 1910–11, the English poet and critic T. E. Hulme claimed that the two major traditions in poetry, romanticism and classicism, were as different as a well and a bucket. According to the romantic party, Hulme explained, humankind is “intrinsically good, spoilt by circumstance”; that is, our nature is “a well, a reservoir full of possibilities.” For the classical party, however, human nature is “like a bucket”; it is “intrinsically limited, but disciplined by order and tradition to something fairly decent” (Hulme 1987: 117). But it was not only that romanticism and classicism were as dissimilar as a well and a bucket; their contents were different, too. To draw water from the well of romanticism was, in effect, to pour a “pot of treacle over the dinner table,” while the classical bucket was more likely to be full of little stones – or jewels, perhaps. Romanticism, in Hulme’s view, was the result of displaced religious fervor; it represented the return of religious instincts that the “perverted rhetoric of Rationalism” had suppressed, so that “concepts that are right and proper in their own sphere are spread over, and so mess up, falsify and blur the clear outlines of human experience” (Hulme 1987: 118). Classicism, by contrast, traded in dry goods – dry, hard goods, to be precise.
Hulme left little doubt as to which side he was on. “It is essential to prove,” he argued, “that beauty may be in small, dry things. The great aim is accurate, precise and definite description. . . . I prophesy that a period of dry, hard, classical verse is coming” (Hulme 1987: 131–3). If by “dry, hard, classical verse” Hulme meant poems looking like the fragments of Sappho, he didn’t have to wait long to see his prophecy fulfilled.
The hard sand breaks,
and the grains of it
are clear as wine.
Far off over the leagues of it,
the wind,
228
playing on the wide shore,
piles little ridges,
and the great waves
break over it.
So wrote Hilda Doolittle in “Hermes of the Ways,” the first poem that she signed “H. D., Imagiste” at the behest of her fellow American expatriate Ezra Pound. From Pound’s perspective, the Imagist movement that he co-founded in 1912 with H. D. and the English poet Richard Aldington was finished well before the First World War began in August 1914; throughout this war-torn decade, however, Imagism continued to spawn the poetry of “small, dry things” whose coming Hulme had predicted a few years before.
Indeed, modernist poets weren’t content merely to break down the extended heroic narratives – the “spilt religion,” as Hulme put it – of their treacly nineteenthcentury predecessors; they insisted on breaking down small things into ever-smaller particles and subparticles. This logic of disintegration is clearly at work in poems like “Hermes of the Ways,” where each line is metrically unique, creating a sense of perpetual freshness – an apotheosis of modernity, as it were.
REFERENCE
Hulme, T. E. (1987). Speculations: Essays on Humanism and the Philosophy of Art, ed. Herbert Read. London and New York: Routledge and Kegan Paul. First published 1924.
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Compare and contrast:
Jeremy Gray,
Plato's Ghost: The Modernist Transformation of Mathematics,
Princeton University Press, first edition Sept. 22, 2008 —
"Here, modernism is defined as an autonomous body of ideas,
having little or no outward reference, placing considerable emphasis
on formal aspects of the work and maintaining a complicated—
indeed, anxious— rather than a naïve relationship with the
day-to-day world, which is the de facto view of a coherent group
of people, such as a professional or discipline-based group
that has a high sense of the seriousness and value of what it is
trying to achieve. This brisk definition…."
(Quoted at the webpage Solomon's Cube.)
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"And well-lighted." — Hemingway
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Click images for further details.
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And then there is Bing . . .
"When nation spoke unto nation, they did it via Fantail."
— Alderman, Naomi. The Future (p. 5). Simon & Schuster. Kindle Edition.
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See "Concordance + Center" in this journal, a search
suggested by the new URL "geometry.center."
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Thursday, November 16, 2023
AI-assisted report on "Cullinane Diamond Theorem discovery" —
The full story of how the theorem was discovered is actually
a bit more interesting. See Art Space, a post of May 7, 2017,
and The Lindbergh Manifesto, a post of May 19, 2015.
"The discovery of the Cullinane Diamond Theorem is a testament
to the power of mathematical abstraction and its ability to reveal
deep connections and symmetries in seemingly simple structures."
I thank Bing for that favorable review.
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Wednesday, November 15, 2023
"… die Schönheit… [ist] die
richtige Übereinstimmung
der Teile miteinander
und mit dem Ganzen."
"Beauty is the proper conformity
of the parts to one another
and to the whole."
— Werner Heisenberg,
"Die Bedeutung des Schönen
in der exakten Naturwissenschaft,"
address delivered to the
Bavarian Academy of Fine Arts,
Munich, 9 Oct. 1970, reprinted in
Heisenberg's Across the Frontiers,
translated by Peter Heath,
Harper & Row, 1974
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This is not the meth-lab Heisenberg —
who also suggests a German saying:
. . . Gestaltung, Umgestaltung,
Des ewigen Sinnes ewige Unterhaltung . . . .
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Tuesday, November 14, 2023
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Sophia Lillis at Woodstock Music Shop —
A quote from a Vanity Fair piece dated October 17, 2023 —
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Monday, November 13, 2023
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"Scarecrow Press, June 21, 2000" — The above publication date.
That date suggests a synchronology check —
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Sunday, November 12, 2023
The above title is from the Black Mass performed by Boris Karloff
in a classic 1934 horror film. An illustration —
Related dialogue from Log24 — "Cube mine! "
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Leonard F. Wheat, Harvard Ph.D. 1958,
is said to have died at 82 on May 12, 2014.
Look upon his works, ye Mighty, and despair.
Also on Wheat's date of death —
Comments Off on “Si le grain ne meurt”
Saturday, November 11, 2023
In memory of poet David Ferry, who reportedly died
at 99 last Sunday — Guy Fawkes Day —
an image linked to here on that day . . .
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A "Cullinane Diamond Theorem" question suggested today by Bing Chat —
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July 16, 1952:
Robert A. Heinlein to Lurton Blassingame,
on writing what would become Stranger in a Strange Land —
". . . . Yes, I am still having trouble with that novel. . . .
The story itself is giving me real trouble. I believe that
I have dreamed up a really new S-F idea, a hard thing
to do these days—but I am having trouble coping with it."
Also on that date —
The next day . . .
Comments Off on Columbian Exposition: Grok This, Elon.
Friday, November 10, 2023
Related art —
(For some backstory, see Geometry of the I Ching
and the history of Chinese philosophy.)
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* —
A line for the Monster — "Cube mine !"
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In memory of a former president of Boston University —
Other posts now tagged Cube Mine.
Related entertainment —
Comments Off on Cube Mine
Thursday, November 9, 2023
"My father's house hath many mansions."
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“Who Wrote This Script?”
"There might be, too, a change immenser than
A poet’s metaphors in which being would
Come true, a point in the fire of music where
Dazzle yields to a clarity and we observe,
And observing is completing and we are content,
In a world that shrinks to an immediate whole,
That we do not need to understand, complete
Without secret arrangements of it in the mind."
— Wallace Stevens, "Description Without Place,"
Sewanee Review, October-December 1945
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"Symmetry is the concept that something can undergo a series of transformations—spinning, folding, reflecting, moving through time—and, at the end of all those changes, appear unchanged. It lurks everywhere in the universe, from the configuration of quarks to the arrangement of galaxies in the cosmos.
The Enormous Theorem demonstrates with mathematical precision that any kind of symmetry can be broken down and grouped into one of four families, according to shared features. For mathematicians devoted to the rigorous study of symmetry, or group theorists, the theorem is an accomplishment no less sweeping, important, or fundamental than the periodic table of the elements was for chemists. In the future, it could lead to other profound discoveries about the fabric of the universe and the nature of reality.
Except, of course, that it is a mess: the equations, corollaries, and conjectures of the proof have been tossed amid more than 500 journal articles, some buried in thick volumes, filled with the mixture of Greek, Latin, and other characters used in the dense language of mathematics. Add to that chaos the fact that each contributor wrote in his or her idiosyncratic style.
That mess is a problem because without every piece of the proof in position, the entirety trembles. For comparison, imagine the two-million-plus stones of the Great Pyramid of Giza strewn haphazardly across the Sahara, with only a few people who know how they fit together. Without an accessible proof of the Enormous Theorem, future mathematicians would have two perilous choices: simply trust the proof without knowing much about how it works or reinvent the wheel. (No mathematician would ever be comfortable with the first option, and the second option would be nearly impossible.)"
— Ornes, Stephen (2015). "The Whole Universe Catalog : Before they die, aging mathematicians are racing to save the Enormous Theorem's proof, all 15,000 pages of it, which divides existence four ways." Scientific American, July 2015: 313 (1), 68–75. Reprinted in Stewart, Amy; Folger, Tim. The Best American Science and Nature Writing 2016 (The Best American Series) (pp. 222-230). Houghton Mifflin Harcourt. Kindle Edition.
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Compare and contrast with the ChatGPT version.
Comments Off on The Enormous Mess
Wednesday, November 8, 2023
By Rahem D. Hamid, Harvard Crimson Staff Writer
Wednesday, November 08, 2023 at 12:44 am ET
Harvard Dean of Science Christopher W. Stubbs is stepping down
at the end of the academic year, Faculty of Arts and Sciences Dean
Hopi E. Hoekstra announced at a faculty meeting Tuesday.
. . . .
A professor in Physics and Astronomy, Stubbs will continue to advise
Hoekstra on issues regarding artificial intelligence, according to Hoekstra.
Stubbs has made the incorporation of AI at Harvard a priority in recent months
and will be teaching a course on generative AI in the spring.
Musical accompaniment suggested by the previous Log24 post —
♫ "Deans could get no keener reception in a deanery."
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From this journal on Monday, Nov. 6, 2023 — ChatGPT DevDay —
Comments Off on The Theorem as Big as the Ritz
See also Shibumi Continues — June 29, 2022.
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University of the Basque Country
Tuesday, November 7, 2023
The sort of Adult Services I prefer —
Stephen King's Dreamcatcher (2001) and Brian De Palma's "Body Double" (1984).
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See Antwerp in this journal…
Art related to a different location in Belgium —
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Monday, November 6, 2023
"Just as Socrates felt that it was necessary to create a tension in the mind
so that individuals could rise from the bondage of myths and half-truths
to the unfettered realm of creative analysis and objective appraisal . . . ."
See also today's previous post, from "Terminator Zero: Rise of the Chatbots."
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Discuss:
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Sunday, November 5, 2023
From a December 2021 obituary —
"I'm just sittin' on the dock of the bay
Wastin' time"
— Otis Redding
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For Guy Fawkes Day, images from first and last posts —
an alpha and an omega of sorts —
from this journal in the month of December 2021 . . .
Some remarks on an artist who reportedly died
on the second day of that month —
Comments Off on Old-Guy Aesthetics
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Saturday, November 4, 2023
Comments Off on Plan 9 from New Haven . . .
Phrase from a Wikipedia article on a "Columbian Exposition" —
"to celebrate the 400th anniversary of Christopher Columbus's
arrival in the New World in 1492"
Id est, 1892. Another exposition —
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Friday, November 3, 2023
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"Birthday, death-day — what day is not both?" — Updike
See today's New York Times report of
an October 12th death, and Log24 posts
tagged Oct. 12 2023.
Comments Off on Doubleday Date
Loki Season 2, Episode 5, minus spoilers . . .
"… then he learns to control his time slipping.
It's not about where, when, or why. It's about who."
Midrash for fans of narrative . . .
Sometimes tattoos are more useful than Post-It notes.
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Thursday, November 2, 2023
A related tune for Harrison Ford, still struggling against the Temple of Doom —
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For All Souls' Day —
T. S. Eliot — "… intersection of the timeless with time …."
Comments Off on No Joke
Wednesday, November 1, 2023
Comments Off on “Watch the trailer.”
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Tuesday, October 31, 2023
For tomorrow, All Saints' Day . . . posts tagged Würfelspiel .
This post was suggested by some 1973 remarks, made on receiving the
Heinemann prize at Göttingen, by a mathematician who reportedly died
on February 19, 2017.
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Some related percussion.
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In memory of a shelter-magazine editor who reportedly
died on October 17, two posts from that date —
Barbie at the Space Barn and A Fair Thought.
Related art — Square Round and Round Square.
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For art more closely related to the title "Alpha and Omega,"
see a different view of the above Hoyersten exhibition.
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— “The Osterman Weekend”
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Monday, October 30, 2023
A New Yorker piece from October 7th, 2023 —
"Terry Bisson's History of the Future" . . .
The "May 19th" name "was derived from the birthdays
of Ho Chi Minh and Malcolm X." — Wikipedia
And then there is the May 19 Gestalt . . .
For a prequel of sorts, see a May 19, 2023, arXiv paper —
Related Log24 reading: Other posts tagged Kummerhenge.
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Sunday, October 29, 2023
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"In the service of which"
— a phrase from the previous post
See also the song lyrics in the subtitles of the
end credits in a Matthew Perry film from 2002.
Comments Off on An Endgame for Beckett…
and Multispeech for Joyce
Comments Off on “By these festival rites, from the age that is past…”
For the source, click here.
The 4/18 refers to the name of a Warren, PA, film production company,
Four Eighteen Films." The name itself refers to the April 18th birthday
shared by the company's two founders.
For the date 4/18 in this journal, see "April 18" and the tag "on0418."
Happy belated birthday.
Comments Off on The Black Thumbnail
Comments Off on Annals of Dark Comedy
Saturday, October 28, 2023
For the Adelson* Sphere —
* Sheldon, not Merv (TV producer) or Edward.
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Digital . . .
Physical . . .
Conceptual . . .
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Friday, October 27, 2023
The Ghent Altarpiece version —
A Taylor Swift version —
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Comments Off on For Sam Levinson . . .
Spaceballs . . . Merchandising!
For the "Ford" part of the title, see the previous post.
The Ferrari part . . .
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From "Scary Fast," a 2022 short film by Lauren Sick.
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Thursday, October 26, 2023
See as well this journal on October 15.
Comments Off on The Old No. 7 Song
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The previous post displayed the word "unfathomable" in a
summary of the June 15, 2023, Netflix drama "Beyond the Sea."
Vide "full fathom five" in this journal.
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A scene, at time-remaining 48:22 in "Beyond the Sea,"
that might be titled "The Landing."
* The "Light and Space" phrase is in memory of an artist who
reportedly died yesterday at 95 in La Jolla, California.
Comments Off on Light and Space* — Facilis Descensus Averno
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Valley of the Shadow of the Dolls
Wednesday, October 25, 2023
The above piece is from Bloomsday 2023. See also this journal
on that date, as well as . . .
Posts of October 17 and 19.
Comments Off on Dreamgirls: Kate Mara in Space Barn!
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From the University of Chicago Press…
The Nutshell:
Related Narrative:
………………………………………………………………………………………………………..
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"When you build your house
Then call me home"
— Fleetwood Mac, "Sara"
“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
See also October 9, 16, 25.
Comments Off on House Call
Commentary on the "Gyrus" book —
http://numero57.net/2007/12/20/archaeologies-of-consciousness/ .
The commentary was written in the time of the winter solstice, 2007.
See also this journal at that time.
Related musical offering for Doctor Sleep: Lyrics to Nightshift.
Comments Off on For Oppenheimer… and Indiana Jones,
at Halloween Season
Tuesday, October 24, 2023
For related remarks, see a reference from OEIS, A001438 —
David Joyner and Jon-Lark Kim,
<a href="http://dx.doi.org/10.1007/978-0-8176-8256-9_3">
Kittens, Mathematical Blackjack, and Combinatorial Codes</a>,
Chapter 3 in Selected Unsolved Problems in Coding Theory,
Applied and Numerical Harmonic Analysis, Springer, 2011,
pp. 47-70, DOI: 10.1007/978-0-8176-8256-9_3.
Today happens to be a related online-publication anniversary —
* A part of what might be called, more generally,. "figurate geometry."
Comments Off on Two Views of Mathieu Geometry*
Illustrations of object and gestures
from finitegeometry.org/sc/ —
Object
Gestures
An earlier presentation of the above
seven partitions of the eightfold cube:
Related mathematics:
The use of binary coordinate systems
as a conceptual tool
Natural physical transformations of square or cubical arrays
of actual physical cubes (i.e., building blocks) correspond to
natural algebraic transformations of vector spaces over GF(2).
This was apparently not previously known.
See "The Thing and I."
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and . . .
Galois.space .
Related entertainment:
Or Matt Helm by way of a Jedi cube.
Comments Off on A Bond with Reality: The Geometry of Cuts
Monday, October 23, 2023
From Walpurgisnacht 2023 —
From a Google search today —
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Mrs. Davis was the wife of Chandler Davis, an editor of
The Mathematical Intelligencer .
Related reading —
* Vide "Mrs. Davis" in this journal.
Comments Off on Elegy for Mrs. Davis*— When Starlets Are Produced
Comments Off on Music Meme
Comments Off on Another Maniac Monday
From a Log24 search for "High Beam" —
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"All things serve the Beamery."
Comments Off on For the Church of Stephen King
Comments Off on Little Bitty Pretty Gestalt
Sunday, October 22, 2023
In memory of "an influential geometer" who reportedly
died on Monday, September 25 . . .
A check of that date in this journal yields the post
Hicks Nix Styx Pix.
An obit in that post suggests, in turn, a phrase for
last night's SNL host, Bad Bunny —
Cosa Vuestra.
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For Emma Watson . . .
For fashion fans, a Truly Tasteless
musical accompaniment . . .
"Itsy Bitsy Teenie Weenie . . . ."
I prefer a companion piece —
"Little Bitty Pretty One."
Comments Off on The Yellow Brick House (Not the Commodores’ Version)
Saturday, October 21, 2023
Comments Off on Lockscreen: A Beach for KenKen
About the author of the above —
A related questionable "proof of concept" :
Aitchison at Hiroshima in this journal — a scholar's 2018 investigation
of M24 actions on a cuboctahedon — and . . .
Comments Off on “Proof of Concept” at The New York Times
"… really we should use larger boxes." — Ursula K. Le Guin
"The Steiner system S (5, 8, 24) is a block design
made up of 24 points and 759 blocks, each of size 8,
with the property that every 5 points lie in exactly one block.
This design is naturally associated with the Golay code, and
its automorphism group is the simple Mathieu group M24;
see [3, Ch. 11].
3. J.H. Conway and N.J.A. Sloane, Sphere Packings,
Lattices and Groups, Springer-Verlag, New York, 1988."
— New Zealand Journal of Mathematics,
Volume 25 (1996), 133-139.
"Markings of the Golay Code," by
Marston Conder and John McKay.
(Received July 1995.)
See also the Harlan Kane Special from Broomsday 2023.
That post relates properties of the 4×4 box (Cullinane, 1979)
to those of the 4×6 box (Conway and Sloane, 1988, without
mention of Cullinane 1979).
Comments Off on Chapter 11 Continues: A Larger Box
Click to enlarge.
The time loom engineer in "Loki" (Season 2, Episode 3, Oct. 19, 2023) —
"We need to scale the Loom’s capacity to manage
all those new branches, otherwise it will fail."
Ursula K. Le Guin in "Schrödinger's Cat" —
“Where is the cat?” he asked at last.
“Where is the box?”
“Here.”
“Where’s here?”
“Here is now.”
“We used to think so,” I said, “but really we should use larger boxes.”
Comments Off on For St. Ursula’s Day
Comments Off on Adobe Dreamgirls
Some background on the square patterns shown in recent
posts tagged Iconology 2023 —
Click to enlarge.
See also Iconology in Wikipedia.
Comments Off on Iconology 2023
Friday, October 20, 2023
Detail from an Instagram post published on Sept. 24, 2023 —
See also "Circle and Square."
Comments Off on Circle Zen … Continues.
Last night's touching dialogue on "Loki" between Victor Timely and
Miss MInutes suggests a review of a recent rather one-sided conversation
of my own —
Thus far, there has been no reply.
The "Loki" dialogue above took place in Chicago, a town repeatedly
described by novelist Willard Motley as a "blue-black panther."
Perhaps the email addressee has in mind the sage advice of
Ogden Nash . . .
"If called by a panther, don't anther."
Comments Off on Artfield Invitation
Comments Off on Scriptural Exegesis
Related art —
From Savage Logic—
Sunday, March 15, 2009 5:24 PM
The Origin of Change
A note on the figure
from this morning's sermon:
"Two things of opposite natures seem to depend
On one another, as a man depends
On a woman, day on night, the imagined
On the real. This is the origin of change.
Winter and spring, cold copulars, embrace
And forth the particulars of rapture come."
— Wallace Stevens,
"Notes Toward a Supreme Fiction,"
Canto IV of "It Must Change"
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Comments Off on Scattering Ashes, Gathering Dust
Thursday, October 19, 2023
For Vincent Patrick, author of Family Business (1985), who reportedly died on
October 6, 2023, a song that might fit the protagonist of Doctor Sleep —
See as well October 6 in posts tagged The Prize Shining.
Comments Off on A “Doctor Sleep” Song…
From Peter Woit's weblog today —
A background check yields . . .
For the Church of Synchronology . . . Posts now tagged
March Fourth Death.
Comments Off on Mathematics as a Language Game
Comments Off on A Muse’s Mystery Glyphs
Also on December 13, 2018 (St. Lucia's Day) —
Comments Off on Norwegian Spaceball Express
"Don't solicit for your sister, it's not nice . . . ." — Tom Lehrer
Comments Off on “42 Really Is the Answer”
* See recent posts on the Schwartz-Metterklume method.
Comments Off on The Lineweaver* Citation
Comments Off on For Emma Watson — Elemental: Fire and Water
Comments Off on The Metterklume Polonaise
Continued from "Barbie at the Space Barn," Oct. 17.
"Open the Space Barn doors, Barbie." —
For those who prefer the Hollywood part of L.A.,
there is Barbierella —
Comments Off on Math for Barbie
Wednesday, October 18, 2023
Comments Off on For St. Luke’s Day — Double Death
See also, in this journal, Spaceballs.
Comments Off on The Schwartz Is With Her.
Comments Off on A Raid on the Articulate
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“Bring me my bride!”— Sondheim
Tuesday, October 17, 2023
"Nothing can come from nothing," or
"Ex nihilo nihil fit " — Classic adage
"Creation is the birth of something, and
something cannot come from nothing."
— Photographer Peter Lindbergh
See as well Peter Lindbergh's short film of
Emma Watson with goat and horse.
"Elemental, my dear Watson."
Comments Off on “A Fair Thought” — Hamlet
Shadow Hacking note: See The Monster (Log24, Guy Fawkes Day 2015).
Comments Off on The Venice Mirror: July 21, 2023
Monday, October 16, 2023
From a search in this journal for "Chapter 11" —
Inner structure —
The above three images share the same
vector-space structure —
0
|
c
|
d
|
c + d
|
a
|
a + c
|
a + d
|
a + c + d
|
b
|
b + c
|
b + d
|
b + c + d
|
a + b
|
a + b + c
|
a + b + d
|
a + b +
c + d
|
(This vector-space a b c d diagram is from
Chapter 11 of Sphere Packings, Lattices
and Groups , by John Horton Conway and
N. J. A. Sloane, first published by Springer
in 1988.)
Comments Off on A Harlan Kane Rite Aid Special: Chapter 11
Where's Y?
Comments Off on For Harlan Kane — The Heidegger Conundrum
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