Related readings — Also from 11/08/2005 — A Constant Idea, and
some related posts that link to …
Another game featured in the above film —
“In Wolfenstein 3D , the player assumes the role of an American
soldier of Polish descent… attempting to escape from the Nazi
stronghold of Castle Wolfenstein.” — Wikipedia
… See also this journal’s Wolfenstein.
From Harvest Moon Day, 2019 —
From yesterday —
From St. Bridget's Day, 2012 —
See also Hermann Weyl and T. S. Eliot on time.
Impenetrability vs. Interpenetration
The previous post discussed impenetrability .
To give the opposing concept of interpenetration
a fair hearing, see . . .
More generally, see a search for interpenetration in this journal.
(And for Mustang Sally)
'When I use a word,' Humpty Dumpty said, in rather a scornful tone, 'it means just what I choose it to mean — neither more nor less.' 'The question is,' said Alice, 'whether you can make words mean so many different things.' 'The question is,' said Humpty Dumpty, 'which is to be master — that's all.' Alice was too much puzzled to say anything; so after a minute Humpty Dumpty began again. 'They've a temper, some of them — particularly verbs: they're the proudest — adjectives you can do anything with, but not verbs — however, I can manage the whole lot of them! Impenetrability! That's what I say!' 'Would you tell me please,' said Alice, 'what that means?' 'Now you talk like a reasonable child,' said Humpty Dumpty, looking very much pleased. 'I meant by "impenetrability" that we've had enough of that subject, and it would be just as well if you'd mention what you mean to do next, as I suppose you don't mean to stop here all the rest of your life.' 'That's a great deal to make one word mean,' Alice said in a thoughtful tone. 'When I make a word do a lot of work like that,' said Humpty Dumpty, 'I always pay it extra.' |
From a Log24 search for Deep Beauty —
From a related search —
For the Church of Synchronology —
An image from this journal on the above Dick date, Feb. 9, 2011 —
The German mathematician Wolf Barth in the above post is not the
same person as the Swiss artist Wolf Barth in today's previous post.
An untitled, undated, picture by the latter —
Compare and contrast with an "elements" picture of my own —
— and with . . .
“Lord Arglay had a suspicion that the Stone would be
purely logical. Yes, he thought, but what, in that sense,
were the rules of its pure logic?”
—Many Dimensions (1931), by Charles Williams
"A great many other properties of E-operators
have been found, which I have not space
to examine in detail."
— Sir Arthur Eddington, New Pathways in Science ,
Cambridge University Press, 1935, page 271.
The following 4×4 space, from a post of Aug. 30, 2015,
may help:
The next time she visits an observatory, Emma Stone
may like to do a little dance to …
Oh, the red leaf looks to the hard gray stone
To each other, they know what they mean
— Suzanne Vega, “Songs in Red and Gray“
Easy E
Not So Easy: E-Operators
"A great many other properties of E-operators
have been found, which I have not space
to examine in detail."
— Sir Arthur Eddington, New Pathways in Science ,
Cambridge University Press, 1935, page 271.
(This book also presents Eddington's unfortunate
speculations on the fine-structure constant.)
A sequel to yesterday morning's Lit for Brats —
From a search in this journal for Salinger —
“… the wind was noisy the way it is in spooky movies
on the night the old slob with the will gets murdered.”
— From the opening sentence of the first Holden Caulfield
story, published in the Collier’s of December 22, 1945
See as well the previous post.
Rules for a game codesigned by Ellie Black, the cartoonist
of yesterday's post Cutting-Edge Prize —
… Continued from other posts so tagged.
"Was ist Raum, wie können wir ihn
erfassen und gestalten?"
Another approach to changing the game —
See also a search here for a phrase related to
last night's Country Music Association awards
speech by Reba McEntire — "Rule the World."
From November 13, 2005 —
Detail from a Log24 post of September 23, 2019 —
Cartoon by Ellie Black in The New Yorker , uploaded there on the above date.
See the title phrase, by Delmore Schwartz, in this journal.
See also . . .
From Daniel Rockmore's CV — BOOKS, FILMS, EXHIBITS . . . . Concinnitas , a fine art print project with Parasol Press, Yale Art Gallery, and Bernard Jacobson Galleries. Openings at AnneMarie Verna Gallery (Zurich, SZ, Dec. 2014), Elizabeth Leach Gallery (Portland, OR, Jan. 2015), Greg Kucera Gallery (Seattle, WA, Jan. 2015), Yale Art Gallery (New Haven, CT, Jan. 2015). . . . . |
. . . and Concinnitas in this journal … as well as — related to a formula
from the Concinnitas project — "Thirteen??" by David Mumford.
Friday, March 10, 2017
The Transformers
|
The misleading image at right above is from the cover of
an edition of Charles Williams's classic 1931 novel
Many Dimensions published in 1993 by Wm. B. Eerdmans.
Compare and constrast —
Cover of a book by Douglas Hofstadter
The trailer pictured above is from the 2016 film Blood Father .
See as well the blood father of Wonderland's Alice:
A Lexicon for Housman — See the posts of June 21, 2013.
From A.E. Housman's 1892 lecture in the previous post —
"In the day when the strong men shall bow themselves,
and desire shall fail…."
Today's readers may be less familiar than was Housman's 1892
audience with the source of those phrases —
"Nor again will I pretend that, as Bacon asserts, `the pleasure and delight of knowledge and learning far surpasseth all other in nature'. This is too much the language of a salesman crying his own wares. The pleasures of the intellect are notoriously less vivid than either the pleasures of sense or the pleasures of the affections; and therefore, especially in the season of youth, the pursuit of knowledge is likely enough to be neglected and lightly esteemed in comparison with other pursuits offering much stronger immediate attractions. But the pleasure of learning and knowing, though not the keenest, is yet the least perishable of pleasures; the least subject to external things, and the play of chance, and the wear of time. And as a prudent man puts money by to serve as a provision for the material wants of his old age, so too he needs to lay up against the end of his days provision for the intellect. As the years go by, comparative values are found to alter: Time, says Sophocles, takes many things which once were pleasures and brings them nearer to pain. In the day when the strong men shall bow themselves, and desire shall fail, it will be a matter of yet more concern than now, whether one can say `my mind to me a kingdom is'; and whether the windows of the soul look out upon a broad and delightful landscape, or face nothing but a brick wall."
– A.E. Housman, Inaugural Lecture as Professor of Latin,
http://spenceralley.blogspot.com/2016/01/ |
A geometric diagram by the late Andrew Jobbings (1951-2019) —
From a book review quoted here on the date of Jobbings's death —
"Dodge is eventually brought back to life, or a kind of virtual afterlife,
in the 'Bitworld' where he exists as ones and zeros. Initially inchoate,
Dodge’s mind evolves, along with the digital environment he creates
around him, a kind of information-age Genesis story that Stephenson
describes evocatively."
The terms glitch and cross-carrier in the previous post
suggest a review —
![]() |
|
For some backstory, see Glitch, Gerard Manley Hopkins, Inscape —
particularly the post A Balliol Star.
From a 1962 young-adult novel —
"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."
Song adapted from a 1960 musical —
"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"
"The man touched the white bishop, queen and king,
and ran his finger over the jagged crest of the rook.
Then, sitting down before the chess set owner could nod
his head, he made his first move with the white pawn."
— The late Stephen Dixon, "The Chess House," in
The Paris Review , Winter-Spring 1963 (early in 1963).
From All Souls' Day 2015 —
Related entertainment —
Invasion of the Soul Snatchers (Wild Palms review, 1993).
See Harlan Kane and Guilfoile in this journal.
Previously in Log24: Trudeau and the Story Theory of Truth.
More-recent remarks by Trudeau —
Bible Stories for Skeptics
Review
About the Author
Product details |
Log24 on the above publication date — July 6, 2014 —
http://www.math.lsa.umich.edu/~idolga/KummerOliver.pdf
is a preprint of an Oct. 10, 2019, talk by Igor Dolgachev —
Kummer Surfaces: 200 Years of Study.
The preprint is also available on the arXiv:
December 14, 2003, was the dies natalis
of actress Jeanne Crain.
𝅘𝅥𝅮𝅘𝅥𝅮 "I'm as friv'lous as a willow on a tombstone"
— Adapted from 1945 lyrics by Oscar Hammerstein
* See the post with that title from October 31.
"So, after summer, in the autumn air,
Comes the cold volume of forgotten ghosts,
But soothingly, with pleasant instruments,
So that this cold, a children's tale of ice,
Seems like a sheen of heat romanticized."
— Wallace Stevens,
"An Ordinary Evening in New Haven"
The German title of "The Recruit" (released Jan. 31, 2003)
is "Der Einsatz." Its MacGuffin is "'Ice 9."
For the title, see Mnemonic and April 7, 2005.
“… I realized that to me,
Gödel and Escher and Bach
were only shadows
cast in different directions by
some central solid essence.
I tried to reconstruct
the central object, and
came up with this book.”
See also a search for Gresham Alley.
Last night’s post for Oct. 30 (Devil’s Night) displayed a dark side
of actress Kate Beckinsale.
On the brighter side: a date which will live in infamy —
December 7 —
A brighter side of Kate, as a nurse on Pearl Harbor Day —
" The subject is justified by its usefulness
rather than as a 'rite of passage.' ”.
— The late Martin Muldoon reviewing a book,
From Vector Spaces to Function Spaces:
Introduction to Functional Analysis with Applications ,
by Yutaka Yamamoto (SIAM, 2012)
Such an introduction is properly a rite of pure mathematics —
the passage in the title from vector spaces to function spaces.
That passage is one of mathematical beauty.
Usefulness is Hiroshima.
Muldoon reportedly died on August 1, 2019.
This journal on that date had a post titled
Different Meanings: For Whom the Bell .
The "Bell" in that post was the author of a New York Times book review.
I prefer a Stephen King bell —
The post "Triangles, Spreads, Mathieu" of October 29 has been
updated with an illustration from the Curtis Miracle Octad Generator.
Related material — A search in this journal for "56 Triangles."
Fans of non-Christian religions ( like Robert Thurman
in Too Cool for School? ) may enjoy the vampire
oeuvre of Kate Beckinsale —
The above is an image from a Log24
search for Square Inch Space.
See also Harvard ex-president Faust on Hogwarts
and (like the above photo, also on Aug. 13) …
* See previous instances of the title in this journal.
An article in Men's Journal on August 1, 2013 —
For the Church of Synchronology — This journal on August 1, 2013.
The New York Times reports this evening the
death of a Conceptual artist on October 19 —
There are many approaches to constructing the Mathieu
group M24. The exercise below sketches an approach that
may or may not be new.
Exercise:
It is well-known that …
There are 56 triangles in an 8-set.
There are 56 spreads in PG(3,2).
The alternating group An is generated by 3-cycles.
The alternating group A8 is isomorphic to GL(4,2).
Use the above facts, along with the correspondence
described below, to construct M24.
Some background —
A Log24 post of May 19, 2013, cites …
Peter J. Cameron in a 1976 Cambridge U. Press
book — Parallelisms of Complete Designs .
See the proof of Theorem 3A.13 on pp. 59 and 60.
See also a Google search for "56 triangles" "56 spreads" Mathieu.
Update of October 31, 2019 — A related illustration —
Update of November 2, 2019 —
See also p. 284 of Geometry and Combinatorics:
Selected Works of J. J. Seidel (Academic Press, 1991).
That page is from a paper published in 1970.
Update of December 20, 2019 —
The Stuff of Legend —
Stronger Stuff —
For a third stuff — that which dreams are made of — see Mantilla.
“There has never since been any serious question
that the event from which to date the founding of
Harvard College is this vote on October 28, 1636.”
— Samuel Eliot Morison, The Founding of Harvard College
See also D8ing the Joystick (4/04 2018).
From an article on cybersecurity in today's new New Yorker —
Boback and Hopkins formed a corporation.
Hopkins came up with its name, Tiversa ,
a portmanteau of “time” and “universe.”
It was also an anagram of veritas : Latin for
“truth,” but scrambled.
Then there is …
vastier veritas —
"The postwar self became a cipher to be decoded."
— Nathaniel Comfort in Nature , PDF dated 10 October 2019
From a Log24 search for Temple of Doom —
Entertainment from NBC on Friday night —
The above question, and Saturday morning's post on a film director
from Melbourne, suggest an image from December's Melbourne Noir —
(March 8, 2018, was the date of death for Melbourne author Peter Temple.)
* For the title, see Saturday morning's post
"Popular Mechanics: Midnight Upgrade."
The title was suggested by the previous post and by
the title illustration in the weblog of the director,
Leigh Whannell, of the 2018 film “Upgrade.”
Related visual details —
For the Church of Synchronology —
Related remarks: “The Thing and I.”
On the word Gestaltung —
(Here “eidolon” should instead be “eidos .”)
A search for a translation of the book "Facettenreiche Mathematik " —
A paper found in the above search —
A related translation —
See also octad.design.
See as well this journal on the above FlixLatino date: Dec. 3, 2015.
From the end credits for a 2016 TV mini-series
based on the Stephen King novel 11/22/63 —
This post was suggested by the Oct. 22 post
Logos, by the Oct. 11 post Dick Date, and by
the Oct. 11 death of an MIT robotics professor.
Related tasteless humor —
A headline from the print version of the recent
technology issue of The New Yorker :
"Leonardo was something like what we now call a Conceptual artist,
maybe the original one. Ideas — experiments, theories — were
creative ends in themselves."
— Holland Cotter in the online New York TImes this evening
From other Log24 posts tagged Tetrahedron vs. Square —
* Phrase from the previous post, "Overarching Narrative."
In memory of a retired co-director of Galerie St. Etienne
who reportedly died on October 17 . . .
"It is… difficult to mount encyclopedic exhibitions
without an overarching art-historical narrative…."
— Jane Kallir, director of Galerie St. Etienne, in
https://www.tabletmag.com/jewish-arts-and-culture/
visual-art-and-design/269564/the-end-of-middle-class-art
An overarching narrative from the above death date —
See as well the previous post
and "Dancing at Lughnasa."
(With apologies to Susanne K. Langer, née Susanne Katherina Knauth)
See too the buzzard-related Catch-22 song —
The production-company logos for Carpenter B and Bad Robot
in end credits for a 2016 TV mini-series based on the Stephen King
novel 11/22/63 suggest a look at . . .
For the Church of Synchronology —
This weblog on Aug. 11, 2017:
Related entertainment —
Detail:
George Steiner —
"Perhaps an insane conceit."
Perhaps.
See Quantum Tesseract Theorem .
Perhaps Not.
See Dirac and Geometry .
See also a poem by Nick Tosches from the preceding day —
August 11, 2010 — "He Who Is of Name," in which Tosches
addresses actor James Franco (Esquire magazine).
See as well, from this journal recently . . .
Down the Rabbit Hole with James Franco —
… on some unspecified date,* according to
the University of Texas at Austin yesterday.
See also Tate in a Blackboard Jungle post
from December 5, 2013.
* On October 16, 2019 (AMS Day), according to
the Harvard University department of mathematics.
Continued from September 24 —
From today's news . . .
" 'If the nesting doll fits … '
'This is not some outlandish claim. This is reality.' "
Related images from 4 AM ET today —
See as well today's previous post, "Vibe for Ray Bradbury."
Bradbury was the author of the 1955 classic The October Country .
On writer Kate Braverman, who reportedly died on Sunday, October 13:
" She wears floor-length black skirts, swirling black coats,
and black stiletto boots; the San Francisco Chronicle once
described her vibe as 'Morticia Addams gone gypsy.' "
— Katy Waldman in The New Yorker , Feb. 22, 2018
"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, song lyric
For a Braverman photo opportunity, see the dark corner
at lower right in the previous post.
"And the new dumbed-down gallery headings and word salads
of the main wall texts definitely need work."
— Roberta Smith yesterday in The New York Times
on the reopening Museum of Modern Art.
Sample gallery heading and word salad from this journal —
Heading:
Salad:
From a 1962 young-adult novel —
"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."
Song adapted from a 1960 musical —
"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"
The previous post, Tetrahedron Dance, suggests a review of . . .
A figure from St. Patrick's Day 2004 that might
represent a domed roof …
Inscribed Carpenter's Square:
In Latin, NORMA
… and a cinematic "Fire Temple" from 2019 —
In related news . . .
Related background: "e. e. cummings" in this journal.
English subtitles: The Tomorrow Man – transcript
The interested reader may consult Google
for the source of the above passage.
The American Mathematical Society has declared that
today is AMS Day.
A different sort of code than in the previous post —
"OCT 14, 2019 • 8:00 PM"
"Culturally, code exists in a nether zone.
We can feel its gnostic effects [link added]
on our everyday reality, but we rarely see it,
and it’s quite inscrutable to non-initiates.
(The folks in Silicon Valley like it that way;
it helps them self-mythologize as wizards.)
We construct top-10 lists for movies, games, TV—
pieces of work that shape our souls.
But we don’t sit around compiling lists of the world’s
most consequential bits of code, even though they
arguably inform the zeitgeist just as much."
— https://slate.com/technology/2019/10/
consequential-computer-code-software-history.html
(The title refers to Log24 posts now tagged Fire Temple.)
In memory of a New Yorker cartoonist who
reportedly died at 97 on October 3, 2019 …
"Read something that means something."
— New Yorker advertising slogan
From posts tagged Tetrahedron vs. Square —
This journal on October 3 —
"There is such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.
Illustration (central detail a from the above tetrahedral figure) —
"Visual forms— lines, colors, proportions, etc.—
are just as capable of articulation ,
i.e. of complex combination, as words.
But the laws that govern this sort of articulation
are altogether different from the laws of syntax
that govern language. The most radical difference
is that visual forms are not discursive .
They do not present their constituents successively,
but simultaneously, so the relations determining
a visual structure are grasped in one act of vision."
— Susanne K. Langer, Philosophy in a New Key
Movie poster designer Philip Gips reportedly died on
Thursday, October 3, 2019. This journal on that date:
James R. Flynn (born in 1934), "is famous for his discovery of
the Flynn effect, the continued year-after-year increase of IQ
scores in all parts of the world." —Wikipedia
His son Eugene Victor Flynn is a mathematician, co-author
of the following chapter on the Kummer surface—
John Horgan in Scientific American magazine on October 8, 2019 —
"In the early 1990s, I came to suspect that the quest
for a unified theory is religious rather than scientific.
Physicists want to show that all things came from
one thing: a force, or essence, or membrane
wriggling in eleven dimensions, or something that
manifests perfect mathematical symmetry. In their
search for this primordial symmetry, however,
physicists have gone off the deep end . . . ."
Other approaches —
See "Story Theory of Truth" in this journal and, from the November 2019
Notices of the American Mathematical Society . . .
More fundamental than the label of mathematician is that of human. And as humans, we’re hardwired to use stories to make sense of our world (story-receivers) and to share that understanding with others (storytellers) [2]. Thus, the framing of any communication answers the key question, what is the story we wish to share? Mathematics papers are not just collections of truths but narratives woven together, each participating in and adding to the great story of mathematics itself. The first endeavor for constructing a good talk is recognizing and choosing just one storyline, tailoring it to the audience at hand. Should the focus be on a result about the underlying structures of group actions? . . . .
[2] Gottschall, J. , The Storytelling Animal , — "Giving Good Talks," by Satyan L. Devadoss |
"Before time began, there was the Cube." — Optimus Prime
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