The geometry of the 15 point-pairs in the previous post suggests a review:
From "Exploring Schoolgirl Space," July 8 —
The date in the previous post — Oct. 9, 2018 — also suggests a review
of posts from that date now tagged Gen-Z:
Wednesday, July 31, 2019
The Epstein Chronicles, or: Z is for Zorro
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Icelandic Fantasy
"In the fantasy, Owen is still working on his Rubik’s Cube.
Finally, he finishes — he’s put together all 6 sides."
— "Maniac" Season 1, Episode 9 recap: ‘Utangatta’
by Cynthia Vinney at showsnob.com, Oct. 9, 2018
Related material —
See also Exploded in this journal.
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Broadway* News
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“A Certain Character of Permanence” — G. H. Hardy
See the above title in this journal. See also . . .
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Monday, July 29, 2019
Sunday, July 28, 2019
Review
From a news article featured on the American Mathematical Society
home page today —
A joint Vietnam-USA mathematical meeting in Vietnam on
June 10-13, 2019:
This journal on June 12, 2019:
Wednesday, June 12, 2019
|
See also the Twentieth of May, 2008 —
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New! Improved! Tinfoil Hat
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Saturday, July 27, 2019
Make America Strange Again
Suggested by the previous post, "The Swarm" —
“‘Oracle, why did you write
The Grasshopper Lies Heavy?
What are we supposed to learn?'”
— Philip K. Dick
“She began throwing the coins.“
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The Stephen King Intelligence Test
Related images —
See also other posts tagged Arti Facts.
This post was suggested by those posts and by the following
attempt at humor —
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Tonality
|
https://languagelog.ldc.upenn.edu/nll/?p=22045 . . . the ancient Chinese made music the pinnacle of wisdom. There was a Classic of Music (Yuè jīng 樂經), but it was lost already by the Han Dynasty (206 BC-220 AD). Yet we know the esteem in which music was held by the ancient Chinese from passages in the classics like the following: The Master heard the Shao in Qi and for three months did not notice the taste of the meat he ate. He said, 'I never dreamt the joys of music could reach such heights.'（D.C. Lau） Analects 7.14 Shao is the music of the mythical emperor, Shun 舜. Qi one of the Warring States. Extensive commentary here. Another instance of the sublimity of music in ancient China is the description of the performance of the Yellow Emperor's "The Pond of Totality" in chapter 14 of the Zhuang Zi (see Victor H. Mair, tr., Wandering on the Way [Bantam, 1994; University of Hawaii Press, 1998], pp. 132-136, available here). Conversely, language studies in traditional China were referred to as "minor learning" (xiǎoxué 小學). November 5, 2015 @ 4:05 pm · Filed by Victor Mair under Language and music, Language and philosophy |
See also Ervin Wilson in Wikipedia, and a Log24 post from
the date of his death — December 8, 2016.
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Friday, July 26, 2019
Well, She Was Just Seventeen…
See also Just Intonation.
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Thursday, July 25, 2019
The Sharp: ♯ as 25/24
“For the Renaissance musician, a sharp multiplied a musical frequency
by the fraction 25/24 – and so does it in Ben’s music.”
— “Regarding Ben: A Keynote Address for the Microtonal Conference
[2010] at Wright State University,” by Kyle Gann
See too my own note from 2001: Harmony, Schoenberg, and The Last Samurai .
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The Morgenthau Correction
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Simple
From "110 in the Shade" —
A quote from "Marshall, Meet Bagger," July 29, 2011:
"Time for you to see the field."
_________________________________________________________
From a Log24 search for "To See the Field" —
For further details, see the 1985 note
"Generating the Octad Generator."
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Blade Runner: The Dark Knight Returns
See "The Batty Farewell" (yesterday's eulogy for Rutger Hauer) and . . .
Click the above fake seal for a related story.
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The Folkenflik Obit
For Harlan Kane . . .
A related word in this journal: Irvine.
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Wednesday, July 24, 2019
The Batty Farewell
Adam Rogers today on "Rutger Hauer in Blade Runner , playing
the artificial* person Roy Batty in his death scene."
* See the word "Artifice" in this journal,
as well as Tears in Rain . . .
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Frameworks
"Games provide frameworks that miniaturize
and represent idealized realities; so do narratives."
— Adam Rogers, Sunday, July 21, 2019, at Wired
Reviewing yesterday's post Word Magic —
See also a technological framework (the microwave at left) vs. a
purely mathematical framework (the pattern on the towel at right)
in the image below:
For some backstory about the purely mathematical framework,
see Octad Generator in this journal.
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Tuesday, July 23, 2019
Confidence Game
https://www.cnet.com/news/first-time-comic-con-cosplay-is-
terrifying-complicated-and-exhilarating/ —
"San Diego Comic-Con 2019 [July 18-21] will witness my plunge
into cosplay. Here's how I tackled my Chilling Adventures of Sabrina
costume."
BY ERIN CARSON JULY 18, 2019 8:20 PM PDT
"Sabrina, now played by Kiernan Shipka, still speaks to me.
Modern-day Sabrina isn't just trying to make it to the dance
on time, she's questioning the unquestioned gender roles of
her belief system, raising the dead and taking on the Devil himself.
May every teenage girl have that kind of confidence."
Or not. See this journal on July 18 and a related passage . . .
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Word Magic
"Business-wise, Magic is working—Bloomberg reported
that the game brought in $500 million in revenue last year.
Hasbro owns Monopoly and Scrabble, but Magic is its top
game brand. . . .
The idea of using a card mechanic to generate story has
precedent—the Italian postmodern writer Italo Calvino
generated an entire novel based on drawing from a
tarot card deck. Games provide frameworks that miniaturize
and represent idealized realities; so do narratives."
— Adam Rogers, Sunday, July 21, 2019, at Wired
"The Esper party began . . ." —
|
Life of the Party From Stephen King's Dreamcatcher :
From Alfred Bester's The Demolished Man :
From Anne McCaffrey's To Ride Pegasus :
"… it's going to be accomplished in steps, this |
Adam Rogers at Wired as quoted above —
"The idea of using a card mechanic to generate story
has precedent. . . ."
See The Greater Trumps .
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Gate of Heavenly Peace
"The Tian'anmen (also Tiananmen or Tienanmen)
([tʰjɛ́n.án.mə̌n]), or the Gate of Heavenly Peace, is
a monumental gate in the centre of Beijing, widely
used as a national symbol of China. First built during
the Ming dynasty in 1420, Tiananmen was the entrance
to the Imperial City . . . ."
A related article on Chinese history, The Critical Moment,
suggests an associated (if only by title) webpage —
See as well The Painted Word .
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Mad Max and the Nation-States
|
“All right, Jessshica. It’s time to open the boxsssschhh.” “Gahh,” she said. She began to walk toward the box, but her heart failed her and she retreated back to the chair. “Fuck. Fuck.” Something mechanical purred. The seam she had found cracked open and the top of the box began to rise. She squeezed shut her eyes and groped her way into a corner, curling up against the concrete and plugging her ears with her fingers. That song she’d heard the busker playing on the train platform with Eliot, “Lucy in the Sky with Diamonds”; she used to sing that. Back in San Francisco, before she learned card tricks. It was how she’d met Benny: He played guitar. Lucy was the best earner, Benny said, so that was mainly what she sang. She must have sung it five times an hour, day after day. At first she liked it but then it was like an infection, and there was nothing she could do and nowhere she could go without it running across her brain or humming on her lips, and God knew she tried; she was smashing herself with sex and drugs but the song began to find its way even there. One day, Benny played the opening chord and she just couldn’t do it. She could not sing that fucking song. Not again. She broke down, because she was only fifteen, and Benny took her behind the mall and told her it would be okay. But she had to sing. It was the biggest earner. She kind of lost it and then so did Benny and that was the first time he hit her. She ran away for a while. But she came back to him, because she had nothing else, and it seemed okay. It seemed like they had a truce: She would not complain about her bruised face and he would not ask her to sing “Lucy.” She had been all right with this. She had thought that was a pretty good deal. Now there was something coming out of a box, and she reached for the most virulent meme she knew. “Lucy in the sky!” she sang. “With diamonds!” • • •
Barry, Max. Lexicon: A Novel (pp. 247-248). |
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Monday, July 22, 2019
From the Church of Synchronology*
From this journal on September 16, 2013 —
|
"La modernité, c’est le transitoire, le fugitif, le contingent, la moitié de l’art, dont l’autre moitié est l’éternel et l’immuable." — Baudelaire, "Le Peintre de la Vie Moderne," IV (1863) "By 'modernity' I mean the ephemeral, the fugitive, the contingent, the half of art whose other half is the eternal and the immutable." — Baudelaire, "The Painter of Modern Life," IV (1863), translated by Jonathan Mayne (in 1964 Phaidon Press book of same title) |
Also on September 16, 2013 —
* See that term in this journal.
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The Four Diamonds Meet the Five Red Herrings
Lord Peter Wimsey (Balliol 1912) on the Balliol-Trinity rivalry at Oxford:
See also Balliol College in the post subtitled Spidey Goes to Church.
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Visual Languages
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Space, Time, Form
Click the image for some remarks on a related novel.
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Sunday, July 21, 2019
Space Speaks, Time Listens
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Saturday, July 20, 2019
Friday, July 19, 2019
Shadowhunting: Life of Pi
Images from Log24 yesterday . . .
And from The New Yorker yesterday . . .
See also RIP: The Peace of Pi —
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Thursday, July 18, 2019
Apperception
From BUtterfield 8 (1960) —
From the 7/20/2017 post "Divided Attention" —
Another phrase for divided attention is "bulk apperception."
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Split
"My words say split, but my words they lie" — Bruce Springsteen
See a search for "Split" in this journal.
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Enveloping-Algebra Note, 1983
Click for the pages below at Internet Archive.
Enveloping algebras also appeared later in the work on "crystal bases"
of Masaki Kashiwara. It seems highly unlikely that his work on enveloping
algebras, or indeed any part of his work on crystal bases, has any relation
to my own earlier notes.
A 1995 page by Kashiwara —
Kashiwara was honored with a Kyoto prize in 2018:
Kashiwara's 2018 Kyoto Prize diploma —
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Avatar for Inspector Tennison
Image from a post of November 13, 2006.
See as well Schoolgirl Tetrahedron.
Related lyrics from Bruce Springsteen and
the Pointer Sisters —
Well, Romeo and Juliet, Samson and Delilah
Baby you can bet a love they couldn't deny
My words say split, but my words they lie
Cause when we kiss, ooh, fire
{Bridge}
Oh fire
Kisses like fire…
Burn me up with fire
I like what you're doin now, fire
Touchin' me, fire
Touchin' me, burnin me, fire
Take me home
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Wednesday, July 17, 2019
The Artsy Quantum Realm
|
arXiv.org > quant-ph > arXiv:1905.06914 Quantum Physics Placing Kirkman's Schoolgirls and Quantum Spin Pairs on the Fano Plane: A Rainbow of Four Primary Colors, A Harmony of Fifteen Tones J. P. Marceaux, A. R. P. Rau (Submitted on 14 May 2019) A recreational problem from nearly two centuries ago has featured prominently in recent times in the mathematics of designs, codes, and signal processing. The number 15 that is central to the problem coincidentally features in areas of physics, especially in today's field of quantum information, as the number of basic operators of two quantum spins ("qubits"). This affords a 1:1 correspondence that we exploit to use the well-known Pauli spin or Lie-Clifford algebra of those fifteen operators to provide specific constructions as posed in the recreational problem. An algorithm is set up that, working with four basic objects, generates alternative solutions or designs. The choice of four base colors or four basic chords can thus lead to color diagrams or acoustic patterns that correspond to realizations of each design. The Fano Plane of finite projective geometry involving seven points and lines and the tetrahedral three-dimensional simplex of 15 points are key objects that feature in this study. Comments:16 pages, 10 figures Subjects:Quantum Physics (quant-ph) Cite as:arXiv:1905.06914 [quant-ph] (or arXiv:1905.06914v1 [quant-ph] for this version) Submission history
From: A. R. P. Rau [view email] |
See also other posts tagged Tetrahedron vs. Square.
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Life in Palermo
See also other posts tagged Tetrahedron vs. Square, and a related
Log24 search for "Schoolgirl + Space."
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Tuesday, July 16, 2019
Schoolgirl Space for Quantum Mystics
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Hieroglyph for Surrealists
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What’s in a Name: Boeing/Being
See also Visual Structure (May 22, 2014)
and Snakes on a Plane posts.
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Morf Vandewalt, Social Prism
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Monday, July 15, 2019
Social Prism
"Douglas Crimp, Who Saw Art Through a Social Prism*,
Is Dead at 74" — The online New York Times today
Crimp reportedly died on July 5. This journal on that date —
* Update of 11:35-11:59 PM the same day — The Times headline has
been changed, but the phrase "social prism" can still be found in the article's
source code, and the earlier headline found in a Google search —
Another prism note — "Magic in the Moonshine."
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Arche’s Schoolgirl Space
From Dan Brown's novel Angels & Demons (2000)—
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Possibility and Necessity: Kierkegaard Meets Nietzsche
The previous post’s search for Turing + Dyson yielded a
quotation from Kierkegaard on possibility and necessity.
Further details —
See also . . .
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Sunday, July 14, 2019
Old Pathways in Science:
The Quantum Tesseract Theorem Revisited
"The secret is that the super-mathematician expresses by the anticommutation
of his operators the property which the geometer conceives as perpendicularity
of displacements. That is why on p. 269 we singled out a pentad of anticommuting
operators, foreseeing that they would have an immediate application in describing
the property of perpendicular directions without using the traditional picture of space.
They express the property of perpendicularity without the picture of perpendicularity.
Thus far we have touched only the fringe of the structure of our set of sixteen E-operators.
Only by entering deeply into the theory of electrons could I show the whole structure
coming into evidence."
A related illustration, from posts tagged Dirac and Geometry —
Compare and contrast Eddington's use of the word "perpendicular"
with a later use of the word by Saniga and Planat.
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American Pie Continues.
From Pi Day 2017 —
"Don't want to end up a cartoon in a cartoon graveyard."
“God’s plan for man in this world is Adam and Eve,
not Adam and Steve.”
— The late William E. Dannemeyer, who reportedly
died at 89 on July 9, 2019.
Hollywood offers a second opinion —
— The garden of Eden. The birthplace of Adam and Eve and Steve. — Steve? Who's Steve? — Steve is the original supermodel. The first of the purebloods.
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Saturday, July 13, 2019
Live from New York, It’s …
Curse of the Fire Temple
"Power outages hit parts of Manhattan
plunging subways, Broadway, into darkness"
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Which Roof?
Related material — Tetrahedron vs. Square and Cézanne's Greetings.
Compare and contrast:
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 —
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Friday, July 12, 2019
“Hello, old friend.” — Anthony Hopkins, Westworld S2 E6
See as well the previous post.
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Ex Fano* Continues.
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Holloway Today
"The area is home to many artists and people who work in
the media, including many journalists, writers and professionals
working in film and television." — Wikipedia
Tusen takk to My Square Lady —
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Instrumental
The title is from a New York Times correction in the previous post.
Piano roll for "I am sixteen going on seventeen" —
Backstory: Posts tagged Root Circle.
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Thursday, July 11, 2019
Small World Continues.
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Artifice of Eternity Revisited: Bitworld
June 14 . . .
Later . . .
Earlier . . .
http://cristal.inria.fr/~weis/info/commandline.html
See also Stiff.
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Wednesday, July 10, 2019
Plato, Republic, 7.527b
… τοῦ γὰρ ἀεὶ ὄντος ἡ γεωμετρικὴ γνῶσίς ἐστιν.
… for geometry is the knowledge of the eternally existent.
See also the previous post — "Artifice of Eternity" —
and the June 23, 2010, post "Group Theory and Philosophy."
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Artifice* of Eternity …
… and Schoolgirl Space
"This poem contrasts the prosaic and sensual world of the here and now
with the transcendent and timeless world of beauty in art, and the first line,
'That is no country for old men,' refers to an artless world of impermanence
and sensual pleasure."
— "Yeats' 'Sailing to Byzantium' and McCarthy's No Country for Old Men :
Art and Artifice in the New Novel,"
Steven Frye in The Cormac McCarthy Journal ,
Vol. 5, No. 1 (Spring 2005), pp. 14-20.
See also Schoolgirl Space in this journal.
* See, for instance, Lewis Hyde on the word "artifice" and . . .
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RIP
"Elmore Rual 'Rip' Torn Jr. (February 6, 1931 – July 9, 2019)
was an American actor, voice artist … Torn was born in
Temple, Texas,
on February 6, 1931, the son of Elmore Rual "Tiger" Torn Sr. and
Thelma Mary Torn (née Spacek)."
For the Church of Synchronology —
The above photo was reportedly taken on March 10, 2011.
An image from this journal on that date —
Found in translation — See "Ex Fano " in this journal
and the Fano post "In Nomine Patris."
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Tuesday, July 9, 2019
Schoolgirl Space: 1984 Revisited
Cube Bricks 1984 —
From "Tomorrowland" (2015) —
From John Baez (2018) —
See also this morning's post Perception of Space
and yesterday's Exploring Schoolgirl Space.
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Perception of Space
The three previous posts have now been tagged . . .
Tetrahedron vs. Square and Triangle vs. Cube.
Related material —
Tetrahedron vs. Square:
Labeling the Tetrahedral Model (Click to enlarge) —
Triangle vs. Cube:
… and, from the date of the above John Baez remark —
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Dreamtimes
“I am always the figure in someone else’s dream. I would really rather
sometimes make my own figures and make my own dreams.”
— John Malkovich at squarespace.com, January 10, 2017
Also on that date . . .
.
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Monday, July 8, 2019
Exploring Schoolgirl Space
See also "Quantum Tesseract Theorem" and "The Crosswicks Curse."
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Sunday, July 7, 2019
Schoolgirl Problem
Anonymous remarks on the schoolgirl problem at Wikipedia —
"This solution has a geometric interpretation in connection with
Galois geometry and PG(3,2). Take a tetrahedron and label its
vertices as 0001, 0010, 0100 and 1000. Label its six edge centers
as the XOR of the vertices of that edge. Label the four face centers
as the XOR of the three vertices of that face, and the body center
gets the label 1111. Then the 35 triads of the XOR solution correspond
exactly to the 35 lines of PG(3,2). Each day corresponds to a spread
and each week to a packing."
See also Polster + Tetrahedron in this journal.
There is a different "geometric interpretation in connection with
Galois geometry and PG(3,2)" that uses a square model rather
than a tetrahedral model. The square model of PG(3,2) last
appeared in the schoolgirl-problem article on Feb. 11, 2017, just
before a revision that removed it.
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Hollywood Death Song
Merlin : Our journey together began many years ago …
"… he never lost touch with the days he lived in a double wide
and used a blow dryer to thaw his winter pipes…."
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Battlefield Geometry
Mind game on the birthday of Évariste Galois:
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Mine Games: Six Degrees
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Saturday, July 6, 2019
Mythos and Logos
Mythos
Logos
The six square patterns which, applied as above to the faces of a cube,
form "diamond" and "whirl" patterns, appear also in the logo of a coal-
mining company —
.
Related material —
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Dark Tor
The New York Times on an arranger/composer who reportedly
died at 100 on Monday:
"By the 1950s he was the musical arranger for
'The Milton Berle Show' (originally 'Texaco Star Theater'),
NBC’s hit hourlong variety-comedy series."
Related Log24 posts —
Notes towards a Dark Tower (Aug. 2, 2016) and Maine to Mexico.
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Friday, July 5, 2019
The Motive for Metaphor
"János Bolyai was a nineteenth-century mathematician who
set the stage for the field of non-Euclidean geometry."
— Transylvania Now , October 26, 2018
From Coxeter and the Relativity Problem —
Desiring the exhilarations of changes:
The motive for metaphor, shrinking from
The weight of primary noon,
The A B C of being,
The ruddy temper, the hammer
Of red and blue, the hard sound—
Steel against intimation—the sharp flash,
The vital, arrogant, fatal, dominant X.
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Ex Nihilo
The previous post suggests a line for James McAvoy —
"Pardon me boy, is this the Transylvania Station?"
See as well "Out of Nothing" in this journal.
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Thursday, July 4, 2019
Quantum Lumps
"Lost is that camp, and wasted all its fire;
And he who wrought that spell?"
— Bret Harte, "Dickens in Camp"
“Finality is death. Perfection is finality. Nothing is perfect.
There are lumps in it, said the Philosopher.”
― James Stephens, The Crock of Gold
These quotations were suggested by Google News today —
For the origin of the name "Bret Stephens," see his
Wall Street Journal essay from June 26, 2009.
See also this journal on that date.
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From Devil’s Night 2014
And now, General, time presses; and America is in a hurry.
Have you realized that though you may occupy towns and win battles,
you cannot conquer a nation? — The Devil's Disciple
A figure related to Dürer's "magic" square posted during Devil's Night —
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Requiem for a Clown*
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Wednesday, July 3, 2019
Disorder/Order
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“From Here to Infinity”
The above title is that of a facetious British essay linked to in the previous post.
It suggests a review . . .
“. . . some point in a high corner of the room . . . .”
— Point Omega
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Tuesday, July 2, 2019
Molloy/Malloy: An Even Break
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Duncan Quicksilver
Duncan reportedly died on June 29. See Log24 on that date.
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Depth Psychology Meets Inscape Geometry
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:
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Monday, July 1, 2019
Inside the Exploded Cube
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.
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Desperately Seeking Clarity
"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 . . . ."
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“The Ontological Secret”
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
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