Molloy / Malloy :
https://genius.com/Dave-malloy-v-fugue-state-lyrics —
Duncan reportedly died on June 29. See Log24 on that date.
An illustration from the previous post may be interpreted
as an attempt to unbokeh an inscape —
The 15 lines above are Euclidean lines based on pairs within a six-set.
For examples of Galois lines so based, see Six-Set Geometry:
Metaphysical conceit | literature | Britannica.com
|
This post's title refers to a metaphysical conceit
in the previous post, Desperately Seeking Clarity.
Related material —
The source of the above mystical octahedron —
See also Jung's Imago Dei in this journal.
"Let us consider the crux of Hopkins' sensibility…"
Seeking claritas :
From a "cube tales" post of June 21 —
The number "six" in the second tale above counts faces of the cube,
as shown in a post of June 23 —
". . . Then the universe exploded into existence . . . ."
The phrase "ontological secret" is from 1927 —
" Beauty is thus 'a flashing of intelligence…
on a matter intelligibly arranged' or, as Maritain
adds in the 1927 edition of Art and Scholasticism ,
it is 'the ontological secret that [things] bear within
them[selves], their spiritual being, their operating
mystery.' "
— John G. Trapani, Jr., "'Radiance': The Metaphysical Foundations
of Maritain's Aesthetics," pp. 11-19 in Beauty, Art, and the Polis ,
ed. by Alice Ramos, publ. by American Maritain Association, 2000.
This 1927 phrase may be the source of McLuhan's 1944
"ontological secret" —
From a search in this journal for "Object of Beauty" —
“She never looked up while her mind rotated the facts,
trying to see them from all sides, trying to piece them
together into theory. All she could think was that she
was flunking an IQ test.”
— Steve Martin, An Object of Beauty
In memory of Susan Bernard , who reportedly died on June 21, 2019* —
Image from the 2016 post A Paris Review . . .
* See as well this journal on June 21,
"Cube Tales for Solstice Day."
Yesterday's post The Benson Epiphany suggests a review of another
retired UC Davis mathematics professor who also died in May…
John Robert Chuchel —
UC Davis mathematics students may consult the following page:
A check of this journal on the date of Chuchel's reported death
yields posts now tagged Hallows for UC Davis.
* See Ex Fano Apollinis (June 24).
"John Horton Conway is a cross between
Archimedes, Mick Jagger and Salvador Dalí."
— The Guardian paraphrasing Siobhan Roberts,
John Horton Conway and his Leech lattice doodle
in The Guardian . Photo: Hollandse Hoogte/Eyevine.
. . . .
"In junior school, one of Conway’s teachers had nicknamed him 'Mary'.
He was a delicate, effeminate creature. Being Mary made his life
absolute hell until he moved on to secondary school, at Liverpool’s
Holt High School for Boys. Soon after term began, the headmaster
called each boy into his office and asked what he planned to do with
his life. John said he wanted to read mathematics at Cambridge.
Instead of 'Mary' he became known as 'The Prof'. These nicknames
confirmed Conway as a terribly introverted adolescent, painfully aware
of his own suffering." — Siobhan Roberts, loc. cit.
From the previous post —
See as well this journal on the above Guardian date —
"Leibniz … could also be called the first digerati."
— The Guardian , May 10, 2013
"Digerati" is a term modeled after "literati" —
Example —
See also this journal on the above
Guardian date: 10 May 2013.
See also Hard Candy.
For affine group actions, see Ex Fano Appollinis (June 24)
and Solomon's Cube.
For one approach to Mathieu group actions on a 24-cube subset
of the 4x4x4 cube, see . . .
For a different sort of Mathieu cube, see Aitchison.
Vinnie Mancuso, in an article now dated December 25, 2018 —
Not so useless —
The caption in fine print below says
"Download Blender and install it.
I won't show you how to do that
because I don't want to insult your
intelligence…."
Q —
"What kind of person
bokehs an inscape?"
A —
Robert Gorham Davis:
McLuhan's " 'mosaic' mode of presentation …
rules out discriminations, qualifications,
close reasoning, the structuring of
articulated wholes."
— Robert Gorham Davis on Marshall McLuhan.
See also Articulation in this journal.
The Small quotation is from a page describing his transcription
for string quartet of Bach's Goldberg Variations:
https://manontroppomusic.wordpress.com/goldberg-variations/.
* See too other Log24 occurrences of "da capo."
From a New Yorker theatre review posted at 5 AM ET today —
“A Strange Loop” takes its title from a concept pioneered by
Douglas Hofstadter, the cognitive-science professor who
wrote the book “Gödel, Escher, Bach: An Eternal Golden Braid”
and, later, the more focussed study “I Am a Strange Loop”;
both were premised upon the impossibly complex, hopelessly
circular means by which each of us composes a self, an “I.”
See as well "Strange Loop" and "Loop de Loop" in this journal.
In memory of John Clarkeson, Harvard ’64, who “read broadly and inquisitively,
and was always on the lookout for a good tale….” Clarkeson reportedly died
on May 28, 2019.
Some Harvard-related material from that date: The Hogwash Papers.
Vinnie Mancuso, in an article now dated December 25, 2018 —
Related art —
Click image for further details.
See also other posts now tagged For Zankel Hall.
(Note the phrase "geometric complexities" in those posts.)
The phrase "various other activities" in the previous post, and a poem
by Yeats, suggest an image that appeared here in miniature on June 7:
See as well some related artistic images from January 4, 2007.
"When they all finally reach their destination —
a deserted field in the Florida Panhandle…."
" When asked about the film's similarities to the 2015 Disney movie
Tomorrowland , which also posits a futuristic world that exists in an
alternative dimension, Nichols sighed. 'I was a little bummed, I guess,'
he said of when he first learned about the project. . . . 'Our die was cast.
Sometimes this kind of collective unconscious that we're all dabbling in,
sometimes you're not the first one out of the gate.' "
See 7/11, 2006.
Related material — Dabblers in the Collective Unconscious.
For fans of the story theory of truth:
A "tale as old as time . . ."
— Song lyric, Beauty and the Beast
Nicholas Hoult as X-Men "Beast" Hank McCoy —
See also the previous post, "Equals Tolkien?"
Related material: The real McCoy —
"The loveliness of Paris seems somehow sadly gay." — Song lyric
Stewart also starred in "Equals" (2016). From a synopsis —
"Stewart plays Nia, a writer who works at a company that extols
the virtues of space exploration in a post-apocalyptic society.
She falls in love with the film's main character, Silas (Nicholas Hoult),
an illustrator . . . ."
Space art in The Paris Review —
For a different sort of space exploration, see Eightfold 1984.
From a date described by Peter Woit in his post
“Not So Spooky Action at a Distance” (June 11) —
See also The Lost Well.
* “As a Chinese jar….” — Four Quartets
"Tilda Swinton is Zelda, the undertaker who worships a gold statue
of Buddha and collects samurai swords. She seems to know
what’s going on, but she’s too busy acting weird to tell."
“We have to restore the role of reason and logic and rational debate,”
Gore said. “Every night on the news is like a nature hike through the
Book of Revelation.” — Harvard Gazette reporting Class Day 2019
Doctor Strange on Mount Everest —
The new Log24 tag "Eightfold Metaphysics" used in the previous post
suggests a review of posts that were tagged "The Reality Blocks" on May 24.
Then there is, of course, the May 24 death of Murray Gell-Mann, who
hijacked from Buddhism the phrase "eightfold way."
See Gell-Mann in this journal and May 24, 2003.
"This was a real nice clam house."
— Adapted from lyrics by Oscar Hammerstein
"Center loosens, forms again elsewhere." — Roger Zelazny
See also an image in memory of the Coppertone artist
from a post of May 18, 2006 —
“My God, it’s
full of stars!”
(Namely, Plato's ghost)
Background: "Transcendental subject" is Kant's term for, more or less, the self.
"To get inside the systems of this work,
whether LeWitt's or Judd's or Morris's,
is precisely to enter
a world without a center,
a world of substitutions and transpositions
nowhere legitimated by the revelations
of a transcendental subject. This is the strength
of this work, its seriousness, and its claim to modernity."
More from Krauss —
A book by an author with somewhat wider "cultural experience" —
See also "Plato's Diamond" in this journal.
See as well posts mentioning "An Object of Beauty."
Update of 12 AM June 11 — A screenshot of this post
is now available at http://dx.doi.org/10.17613/hqk7-nx97 .
A post for those who, like Paul Simon,
fear and loathe cartoon graveyards
https://www.nytimes.com/2019/06/06/obituaries/
rudolf-von-ribbentrop-dead.html
The opening lines of Eliot's Four Quartets —
"Time present and time past
Are both perhaps present in time future,
And time future contained in time past."
Perhaps.
Those who prefer geometry to rhetoric may also prefer
to Eliot's lines the immortal opening of the Transformers saga —
"Before time began, there was the Cube."
One version of the Cube —
Or: Burning Bright
A post in memory of Chicago architect Stanley Tigerman,
who reportedly died at 88 on Monday.
Art suggested by a search in this journal for Bennington, by the Kurt Vonnegut
novel Timequake , and by the works of Eric Temple Bell.
For fans of Space Fleet and of "reclusive but gifted" programmers—
The title is a quotation from the 2015 film "Mojave."
See as well a Log24 search for "FInite Relativity."
For Radu Surdulescu, who . . .
"participated in the 1956 reclamatory movements
of the students in Bucharest. He was among the
organizers of the demonstration to be held in
the University Square on November 5, 1956."
— Wikipedia (Google translation from Romanian)
See also squares and Surdulescu in "From Tate to Plato"
(Log24, November 19, 2004).
Those who prefer fiction may consult William Boyd and
Terry Gilliam.
“. . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness.”
— T. S. Eliot, Four Quartets
From Writing Chinese Characters:
“It is practical to think of a character centered
within an imaginary square grid . . . .
The grid can… be… subdivided, usually to
9 or 16 squares. . . .“
These “Chinese jars” (as opposed to their contents)
are as follows:
.
See as well Eliot’s 1922 remarks on “extinction of personality”
and the phrase “ego-extinction” in Weyl’s Philosophy of Mathematics —
See as well, in this journal, Deathly Hallows, Relativity Problem, and Space Cross.
A related quote: "This is not mathematics; this is theology."
A remark on coordinatization linked to by John Baez today —
This suggests a more historical perspective:
See as well a search for Interpenetration in this journal.
(Continued … See “Is Fiction the Art of Lying?” by Mario Vargas Llosa,
a New York Times essay of October 7, 1984.)
"A non-fiction writer must have the freedom
to imagine the facts they [sic ] use."
Sure they must.
The title is from a search in this journal —
http://www.m759.net/wordpress/?s=1982+Janine .
In memory of June Havoc . . .
"In 1960, Havoc was honored with two stars
on the Hollywood Walk of Fame—one at
6618 Hollywood Boulevard for her contributions
to the motion picture industry, and the other at
6413 Hollywood Boulevard for television."
See this evening's update to the May 31 post
"Working Sketch of Aitchison’s Mathieu Cuboctahedron" —
". . . And then of course there is the obvious labeling derived from
the … permutahedron —"
The title was suggested by the "Crystal Cult" installations
of Oslo artist Josefine Lyche and by a post of May 30 —
Thursday, May 30, 2019 Filed under: General — m759 @ 8:02 PM Edit This Jeff Nichols, director of Midnight Special (2016) —
"When asked about the film's similarities to See also Jung's four-diamond figure and the previous post. |
Writers of fiction are, of course, also dabblers in the collective unconscious.
For instance . . .
A 1971 British paperback edition of The Dreaming Jewels,
a story by Theodore Sturgeon (first version published in 1950):
The above book cover, together with the Death Valley location
Zabriskie Point, suggests . . .
Those less enchanted by the collective unconscious may prefer a
different weblog's remarks on the same date as the above Borax post . . .
A phrase from Wikipedia —
"De Niro's gallerist, Virginia Zabriskie."
Zabriskie reportedly died on May 7.
In memoriam — Jar Story.
The above sketch indicates one way to apply the elements of S4
to the Aitchison cuboctahedron . It is a rough sketch illustrating a
correspondence between four edge-hexagons and four label-sets.
The labeling is not as neat as that of a permutahedron by S4
shown below, but can perhaps be improved.
Permutahedron labeled by S4 .
Update of 9 PM EDT June 1, 2019 —
. . . And then of course there is the obvious labeling derived from
the above permutahedron —
Jeff Nichols, director of Midnight Special (2016) —
"When asked about the film's similarities to the 2015 Disney
movie Tomorrowland , which also posits a futuristic world
that exists in an alternative dimension, Nichols sighed.
'I was a little bummed, I guess,' he said of when he first
learned about the project. . . . 'Our die was cast.
Sometimes this kind of collective unconscious that
we're all dabbling in, sometimes you're not the first one
out of the gate.' "
See also Jung's four-diamond figure and the previous post.
"The stiffest material around is diamond.
The strength and lightness of a material
depends on the number and strength of
the bonds that hold its atoms together,
and on the lightness of the atoms.
The element that best fits both criteria
is carbon, which is lightweight and forms
stronger bonds than any other atom.
The carbon-carbon bond is especially
strong; each carbon atom can bond to
four neighboring atoms. In diamond,
then, a dense network of strong bonds
creates a strong, light, and stiff material.
Indeed, just as we named the Stone Age,
the Bronze Age, and the Steel Age after
the materials that humans could make,
we might call the new technological epoch
we are entering the Diamond Age."
[Link added.]
— "It's a Small, Small, Small, Small World,"
by Ralph C. Merkle,
MIT Technology Review , Feb./Mar. 1997
Related material — Khurana in this journal and
in The Harvard Crimson .
For students of the Hogwash School of Witchcraft and Wizardry —
"Elementary particles are the most fundamental
building blocks of nature, and their study
would seem to be an expression of simplification
in its purest form."
— Sean Carroll in The New York Times today
in an opinion piece titled "The Physicist Who
Made Sense of the Universe"
Related remarks: See a Log24 search for "Simpli…".
From a Groundhog Day post in 2009 —
The Candlebrow Conference The conferees had gathered here from all around the world…. Their spirits all one way or another invested in, invested by, the siegecraft of Time and its mysteries. "Fact is, our system of so-called linear time is based on a circular or, if you like, periodic phenomenon– the earth's own spin. Everything spins, up to and including, probably, the whole universe. So we can look to the prairie, the darkening sky, the birthing of a funnel-cloud to see in its vortex the fundamental structure of everything–" "Um, Professor–"…. … Those in attendance, some at quite high speed, had begun to disperse, the briefest of glances at the sky sufficing to explain why. As if the professor had lectured it into being, there now swung from the swollen and light-pulsing clouds to the west a classic prairie "twister"…. … In the storm cellar, over semiliquid coffee and farmhouse crullers left from the last twister, they got back to the topic of periodic functions…. "Eternal Return, just to begin with. If we may construct such functions in the abstract, then so must it be possible to construct more secular, more physical expressions." "Build a time machine." "Not the way I would have put it, but if you like, fine." Vectorists and Quaternionists in attendance reminded everybody of the function they had recently worked up…. "We thus enter the whirlwind. It becomes the very essence of a refashioned life, providing the axes to which everything will be referred. Time no long 'passes,' with a linear velocity, but 'returns,' with an angular one…. We are returned to ourselves eternally, or, if you like, timelessly." "Born again!" exclaimed a Christer in the gathering, as if suddenly enlightened. Above, the devastation had begun. |
"As if the professor had lectured it into being . . . ."
See other posts now tagged McLuhan Time.
I prefer the simple "four dots" figure
of the double colon:
For those who prefer stranger analogies . . .
Actors from "The Eiger Sanction" —
Doctor Strange on Mount Everest —
See as well this journal on the above Strange date, 2016/12/02,
in posts tagged Lumber Room.
"In this way the eight quaternions came into being."
— Legend adapted from Richard Wilhelm.
See as well The Bond with Reality (20th of May, 2019).
"It's very easy to say, 'Well, Jeff couldn't quite connect these dots,'"
director Jeff Nichols told BuzzFeed News. "Well, I wasn't actually
looking at the dots you were looking at."
— Posted on March 21, 2016, at 1:11 p.m,
Adam B. Vary, BuzzFeed News Reporter
"Magical arrays of numbers have been the talismans of mathematicians and mystics since the time of Pythagoras in the sixth century B.C. And in the 16th century, Rabbi Isaac ben Solomon Luria devised a cosmological world view that seems to have prefigured superstring theory, at least superficially. Rabbi Luria was a sage of the Jewish cabalist movement — a school of mystics that drew inspiration from the arcane oral tradition of the Torah.
According to Rabbi Luria's cosmology, the soul and inner life of the hidden God were expressed by 10 primordial numbers
— "Things Are Stranger Than We Can Imagine," |
Or: One Quark for Muster Mark
"In this way the eight trigrams came into being." — Richard Wilhelm
Detail:
Midrash:
A mysterious Google Search result from this evening —
A check of Marshall's announcement reveals an apparent
contradiction to the reported May 24 date of death. Although the
announcement says that Gell-Mann died on May 24, the announcement
itself is timestamped midnight (00:00) at the beginning of May 24
according to Greenwich Mean Time, i.e., at 6 pm May 23 in Santa Fe —
This may or may not help to illustrate the Gell-Mann amnesia effect.
See also other posts now tagged The Reality Blocks.
Related literary remarks from The Crimson Abyss
(a Log24 post of March 29, 2017) —
Prospero's Children was first published by HarperCollins,
"This is English fantasy at its finest. Prospero’s Children |
Related imagery from The Crimson Abyss —
See as well posts of June 6, 2004, and May 22, 2004.
An image posted here two years earlier, on May the Fourth, 2017 —
* A title for Harlan Kane, suggested by obituaries
from The New York Times (this afternoon) and from
CBC News (on May 14, below) . . .
. . . as well as by illustrations shown here on May 13 and by
a screenwriter quoted here on May 12 —
“When I die,” he liked to say, “I’m going to have written
on my tombstone, ‘Finally, a plot!’”
— Robert D. McFadden in The New York Times
Another quote that seems relevant —
“I need a photo opportunity, I want a shot at redemption.
Don’t want to end up a cartoon in a cartoon graveyard.”
— Paul Simon
An illustration from the April 20, 2016, post
Symmetric Generation of a Simple Group —
"The geometry of unit cubes is a meeting point
of several different subjects in mathematics."
— Chuanming Zong, Bulletin of the American
Mathematical Society , January 2005
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