See also Log24 on August 30, 2006.
"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."
See other posts now tagged For Stella Maris. Related news —
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."
* —
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.
From Chapter 23, "Poetry," by Adam Parkes, in 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,
Far off over the leagues of it, 228
playing on the wide shore, 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. |
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.)
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.
See "Concordance + Center" in this journal, a search
suggested by the new URL "geometry.center."
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.
"… die Schönheit… [ist] die
"Beauty is the proper conformity |
This is not the meth-lab Heisenberg —
who also suggests a German saying:
. . . Gestaltung, Umgestaltung,
Des ewigen Sinnes ewige Unterhaltung . . . .
"Scarecrow Press, June 21, 2000" — The above publication date.
That date suggests a synchronology check —
The above title is from the Black Mass performed by Boris Karloff
in a classic 1934 horror film. An illustration —
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 —
In memory of poet David Ferry, who reportedly died
at 99 last Sunday — Guy Fawkes Day —
an image linked to here on that day . . .
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 . . .
Related art —
(For some backstory, see Geometry of the I Ching
and the history of Chinese philosophy.)
More "spots of time": "0915."
In memory of a former president of Boston University —
Other posts now tagged Cube Mine.
Related entertainment —
"My father's house hath many mansions."
"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
"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. |
Compare and contrast with the ChatGPT version.
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."
See also Shibumi Continues — June 29, 2022.
The sort of Adult Services I prefer —
Stephen King's Dreamcatcher (2001) and Brian De Palma's "Body Double" (1984).
"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."
From a December 2021 obituary —
"I'm just sittin' on the dock of the bay
Wastin' time"
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 —
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 —
"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.
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.
Saturday, April 21, 2018 A Getty logo — |
For All Souls' Day —
T. S. Eliot — "… intersection of the timeless with time …."
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.
For art more closely related to the title "Alpha and Omega,"
see a different view of the above Hoyersten exhibition.
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.
Log24 on Friday, April 14, 2023 —
“Why is a raven like a writing desk?”
Elsewhere on that date —
See also Eric Sheng at
https://www.ericshengphotography.com/about-avenue
and https://www.instagram.com/ericshengphoto/.
"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.
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.
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.
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.
From the University of Chicago Press…
The Nutshell:
Related Narrative:
………………………………………………………………………………………………………..
"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
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."
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 —
For Emma Watson . . .
For fashion fans, a Truly Tasteless
musical accompaniment . . .
"Itsy Bitsy Teenie Weenie . . . ."
I prefer a companion piece —
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 . . .
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.”
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.
From Peter Woit's weblog today —
A background check yields . . .
For the Church of Synchronology . . . Posts now tagged
"Don't solicit for your sister, it's not nice . . . ." — Tom Lehrer
* See recent posts on the Schwartz-Metterklume method.
See also, in this journal, Spaceballs.
"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."
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