"February made me shiver . . . ."
Monday, February 28, 2022
Sunday, February 27, 2022
Pyramid vs. Cube … Continued
See Sith Pyramid and Jedi Cube .
Related reading . . .
Pyramid:
https://www.theguardian.com/commentisfree/
2022/feb/27/vladimir-putin-russia-ukraine-power
Cube:
"To enter into the world of Putin’s favorite philosophers
is to enter a world full of melodrama, mysticism and
grandiose eschatological visions."
— David Brooks in the online New York Times on March 3, 2014
Scholium:
This journal on the above NY Times date —
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Impenetrability Revisited
From a New York Times obituary online today —
“He was an absolutely brilliant reader
at taking what seemed to be the knots,
or the impenetrability, or the downright
insanity of a piece of writing, and just
saying, ‘Hey, guys, that’s the point.’”
See as well Humpty Dumpty and unit e .
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Saturday, February 26, 2022
Annals of Meta-Reality . . . Welcome to Hell.
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Thursday, February 24, 2022
Wednesday, February 23, 2022
The Unity of Mathematics
https://en.wikisource.org/wiki/
A_History_of_Mathematics/
Recent_Times/Theory_of_Functions —
See also Gopel in this journal.
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Datascape
Another illustration of the difference between data and metadata —
A Google image search for Göpel inscape —
Data :
(Click for the full 11.7 MB version
of this data .)
Meta data :
Related film dialogue —
"Media is nothing but neuro-trigger response and viral conditioning."
"Wait, what are you two talking about?"
"Cat videos."
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Metaverse vs. Dataverse
(Continued from other posts tagged Date Time.)
Metadata Verse — An image description —"That Fat Cat Sat."
Related image titled What is Metadata? —
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Leaving the Farm
From the current online New Yorker , a barnyard elegy:
From the top of the New Yorker homepage tonight:
Locking the barn door after the chandelier is gone —
(Click to enlarge.)
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Tuesday, February 22, 2022
The Feuerstein Gambit
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Monday, February 21, 2022
Her Story
The above White Goddess new-edition publication date: Oct. 8, 2013.
This journal on that date —
"Please wait as your operating system is initiated."
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Stimulus
"The class is objectively characterized, but not
the individual coordinate assignment."
Tell it to Watchduck, Hermann.
See a related remark by Quack5quack in Raiders of the Lost Coordinates.
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Variation on an Old Joke
An image linked to* in Mapping Problem Continued (Log24, 16 July 2012) —
* The link is on the phrase "may be deduced."
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Sunday, February 20, 2022
4×4 Nomenclature
The geometry of the 4×4 square may be associated with the name
Galois, as in "the Galois tesseract," or similarly with the name Kummer.
Here is a Google image search using the latter name —
(Click to enlarge.)
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Saturday, February 19, 2022
Friday, February 18, 2022
Thursday, February 17, 2022
Parallax Viewpoints
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Space Memorial
"FILE – Retired Sandinista Gen. Hugo Torres poses for portrait
at his home, in Managua, Nicaragua, May 2, 2018."
— Photo caption from a Feb. 12 Washington Post obituary
Also on May 2, 2018 —
Related theology —
Tuesday, February 23, 2016
|
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Four Dots, Six Lines
"There is such a thing as a tesseract."
— Mrs. Whatsit in A Wrinkle in Time (1962)
"Simplify, simplify." — Henry David Thoreau in Walden (1854)
|
A Jungian on this six-line figure:
“They are the same six lines that exist in the I Ching…. Now observe the square more closely: four of the lines are of equal length, the other two are longer…. For this reason symmetry cannot be statically produced and a dance results.” |
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Wednesday, February 16, 2022
Tuesday, February 15, 2022
“… Then We Take Berlin” — Leonard Cohen
"Stories are the only way people can absorb information
in any depth" — Stephen Lussier, retired De Beers executive
Related story — De Beer's Consolidated Mine
“Nothing Lasts Forever” will screen at Berlinale
on February 12th at 9 pm at Cubix 7, February 17th
at 9 pm at Cubix 5 and 6, and February 18th at 6 pm
at Cubix 5 and 6. — https://moveablefest.com
See as well "Story Theory of Truth" in this journal.
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Shubert Alley as Nightmare Alley
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Monday, February 14, 2022
Cable Girl
"The Cable Guy isn't necessarily the first one you would expect
to make a comeback, but that's exactly what he has done
this Sunday during the big game."
Related material — Cable Girl —
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Sugar Cube
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Artbusters: Cubism
" Welcher Art ist die ursprüngliche Einheit,
daß sie sich in diese Scheidung auseinanderwirft,
und in welchem Sinn sind die Geschiedenen
hier als Wesung der Ab-gründigkeit gerade einig?
Hier kann es sich nicht um irgend eine »Dialektik«
handeln, sondern nur um die Wesung des Grundes
(der Wahrheit also) selbst."
"Before time began, there was the Cube." — Optimus Prime
|
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Sunday, February 13, 2022
Kabbalah for the Metaverse
From The Atlantic on February 10, 2022 —
"Facebook Has a Superuser-Supremacy Problem" —
What else is new?
From this journal on June 5, 2019 —
Also on June 5, 2019 —
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For a Time
This journal on the above date —
The New York Times yesterday reported that the above dancer,
no longer very young, died on February 3, 2022.
Some Log24 flashback images reposted on that date —
See as well two Dec. 22, 2002, posts
now tagged Trifecta —
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Saturday, February 12, 2022
Das Geheimnis der Einheit
Thomas Mann on "the mystery of the unity" —
"Denn um zu wiederholen, was ich anfangs sagte:
in dem Geheimnis der Einheit von Ich und Welt,
Sein und Geschehen, in der Durchschauung des
scheinbar Objectiven und Akzidentellen als
Veranstaltung der Seele glaube ich den innersten Kern
der analytischen Lehre zu erkennen." (GW IX 488)
An Einheit-Geheimnis that is perhaps* more closely related
to pure mathematics** —
"What is the nature of the original unity
that throws itself apart in this separation,
and in what sense are the separated ones
here as the essence of the abyss?
Here it cannot be a question of any kind of 'dialectic,'
but only of the essence of the ground
(that is, of truth) itself." [Tr. by Google]
" Welcher Art ist die ursprüngliche Einheit,
daß sie sich in diese Scheidung auseinanderwirft,
und in welchem Sinn sind die Geschiedenen
hier als Wesung der Ab-gründigkeit gerade einig?
Hier kann es sich nicht um irgend eine »Dialektik«
handeln, sondern nur um die Wesung des Grundes
(der Wahrheit also) selbst."
* Or perhaps not .
** For a relevant Scheidung , see Eightfold Cube.
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Friday, February 11, 2022
Space, Piled High and Deep
"… out of all things there comes a unity,
and out of a unity all things . . . . "
— Heraclitus, according to de Beer quoting McKirahan
An image we may regard as illustrating
the group-identity symbol "e" for "Einheit " —
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For Space Groupies
A followup to Wednesday's post Deep Space —
Related material from this journal on July 9, 2019 —
Cube Bricks 1984 —
From "Tomorrowland" (2015) —
From other posts tagged 1984 Cubes —
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De Beer’s Consolidated Mine
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.
But seriously . . .
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Thursday, February 10, 2022
“Kimi, Siri. Siri, Kimi.”
From "Siri + Wechsler" in this journal —
|
For Little Man Tate —
Related material — Wechsler in this journal and
Mark and Lucille, Bill and Violet, Al and Regina,
|
Related material —
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Tech News
Some personal memories triggered by the above —
The novel The Lathe of Heaven , the film "Paper Towns," and
the images in Instance of a Fingerpost (Log24, July 24, 2015).
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Science News: Bon Voyage!
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Block Design Subtest:
Psycoloquy Meets Psycho Loki
Related illustration from a search in this journal for Wechsler —
|
|
Above: Dr. Harrison Pope, Harvard professor of psychiatry,
demonstrates the use of the Wechsler Adult Intelligence Scale (WAIS)
“block design” subtest.
— From a Log24 search for “Harrison Pope.”
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Psycoloquy Meets Psycho Loki
Psycoloquy Meets Psycho Loki
Wednesday, February 9, 2022
Deep Space
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8!
Conwell, 1910 —
(In modern notation, Conwell is showing that the complete
projective group of collineations and dualities of the finite
3-space PG (3,2) is of order 8 factorial, i.e. "8!" —
In other words, that any permutation of eight things may be
regarded as a geometric transformation of PG (3,2).)
Later discussion of this same "Klein correspondence"
between Conwell's 3-space and 5-space . . .
A somewhat simpler toy model —
Related fiction — "The Bulk Beings" of the film "Interstellar."
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Tuesday, February 8, 2022
In Search Of . . .
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In memory of Nick Tosches
For your consideration: "Nightmare Alley" Oscar nominations —
Costume design, production design, cinematography, Best Picture.
See as well the introduction by Nick Tosches to the novel .
A touch I personally like: Over the end credits, Hoagy Carmichael's
"Stardust" plays. From related remarks (here abridged) by poet
David Lehman on November 22, 2015 (the feast of St. Cecilia) —
"Every year on this day I think unfailingly of three things:
— that today is Hoagy Carnichael's birthday ….
— that if time were elastic I would write a series of
popular history novels ….
— that paranoid conspiracy theories … are based on
our fundamental inability to understand events.
From this journal on November 22, 2015 —
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Directions Out
On reading about DNA:
"Suddenly it was clear to me
that all the beautiful complexity of life
had simplicity at its core," he says.
"This is the kind of thing mathematicians love."
— Eric Lander in "The 2004 TIME 100 — Our list
of the most influential people in the world today"
The date on the above TIME piece is Monday,
Apr. 26, 2004. Remarks in this journal on that date
are now tagged Directions Out.
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Monday, February 7, 2022
Science News
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Morphart Meets Morph Art
Warren (PA) Public Library's Instagram
on January 21, 2022 —
Morphart —
Morph Art — from Raiders of the Lost Coordinates
"There is such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.
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Sunday, February 6, 2022
Ringing the Changes
In memory of Hale Trotter, a mathematician who reportedly
died at Princeton, N.J., on Jan. 17, 2022.
Other perspectives —
“The carnival is an incredibly close-knit, hermetic society.”
— Guillermo del Toro, director and co-writer of
the new remake of "Nightmare Alley"
Dialogue from that remake —
STAN — How do you ever get a guy to geek?
CLEM — Oh- I ain’t going to crap you up. It ain’t easy.
"There is such a thing as a four-set."
— Saying adapted from a 1962 young-adult novel
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Animating the Savoir
". . . It is as if
We had come to an end of the imagination,
Inanimate in an inert savoir.”
— Wallace Stevens, “The Plain Sense of Things”
"In my end . . . ." — T. S. Eliot
|
Thursday, March 22, 2018
The Diamond Cube
|
See a note from Sept. 15, 1984
(perhaps the last day of life for Richard Brautigan).
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Saturday, February 5, 2022
Hexagram 61 Revisited
The online New York Times today reporting a Jan. 29 death:
"Mr. Dylan asked Mr. Lay to back him on the title track
of his album “Highway 61 Revisited.” In addition to
playing drums, Mr. Lay played a toy whistle on the song’s
memorable opening."
— Richard Sandomir, Feb. 5, 2022, 2:06 p.m. ET
The above link yields a March 11, 2019, YouTube upload:
Some may prefer the theology of Hexagram 61.
“‘Oracle, why did you write
The Grasshopper Lies Heavy?
What are we supposed to learn?'”
— Philip K. Dick
“She began throwing the coins.“
Other remarks from the above
YouTube upload date — March 11, 2019 —
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Mathieu Cube Labeling
Shown below is an illustration from "The Puzzle Layout Problem" —
- September 2003
-
Lecture Notes in Computer Science 2912:500-501
DOI:10.1007/978-3-540-24595-7_50 - Source: DBLP
-
Conference: Graph Drawing, 11th International Symposium,
GD 2003, Perugia, Italy, September 21-24, 2003, Revised Papers - Authors: Kozo Sugiyama, Seok-Hee Hong, Atsuhiko Maeda
Exercise: Using the above numerals 1 through 24
(with 23 as 0 and 24 as ∞) to represent the points
∞, 0, 1, 2, 3 … 22 of the projective line over GF(23),
reposition the labels 1 through 24 in the above illustration
so that they appropriately* illustrate the cube-parts discussed
by Iain Aitchison in his March 2018 Hiroshima slides on
cube-part permutations by the Mathieu group M24.
A note for Northrop Frye —
Interpenetration in the eightfold cube — the three midplanes —
A deeper example of interpenetration:
Aitchison has shown that the Mathieu group M24 has a natural
action on the 24 center points of the subsquares on the eightfold
cube's six faces (four such points on each of the six faces). Thus
the 759 octads of the Steiner system S(5, 8, 24) interpenetrate
on the surface of the cube.
* "Appropriately" — I.e. , so that the Aitchison cube octads correspond
exactly, via the projective-point labels, to the Curtis MOG octads.
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Friday, February 4, 2022
Down and Up, Up and Down
From The Dumbing-Down —
The above image appeared here on August 5, 2021.
From an instagram post on that same date
that might be titled "The Wising-Up" —
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Movement and Words
New York Times eulogy today for "a wizard of movement and words"—
See as well the previous post and Ballet Blanc .
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Couples Therapy . . . Continues.
Engineering image uploaded on Sept. 4, 2015 —
Art image from this journal on that date —
See as well "Novel Engineering."
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The Guralnik Cube
New York Review of Books , Dec. 16, 2021 issue —
Lorrie Moore on the documentary series "Couples Therapy" —
"Few of the people sitting on the couch avoid the cliché of
one person (a man) playing fruitlessly with a plastic puzzle
while the other speaks tearfully and avails herself of a
Kleenex box. In season 1, there is literally a Rubik’s cube,
and no one ever solves it, an unfortunate but apt metaphor.
During one session, when the cube has been placed out of reach,
one of the husbands gets up to look for it, finding it on a shelf."
See also . . .
"The bond with reality is cut." — Hans Freudenthal
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Thursday, February 3, 2022
Through the Asian Looking Glass
The Miracle Octad Generator (MOG) —
The Conway-Sloane version of 1988:
See also the 1976 R. T. Curtis version, of which the Conway-Sloane version
is a mirror reflection —
“There is a correspondence between the two systems
of 35 groups, which is illustrated in Fig. 4 (the MOG or
Miracle Octad Generator).”
—R.T. Curtis, “A New Combinatorial Approach to M24,”
Mathematical Proceedings of the Cambridge Philosophical
Society (1976), 79: 25-42
Curtis’s 1976 Fig. 4. (The MOG.)
The Guy Embedding (named for M.J.T., not Richard K., Guy) states that
the MOG is naturally embedded in the codewords of the extended binary
Golay code, if those codewords are generated in lexicographic order.
The above reading order for the MOG 4×6 array —
down the columns, from left to right — yields the Conway-Sloane MOG.
Since that is a mirror image of the original Curtis MOG, the reading order
yielding that MOG is down the columns, from right to left.
"Traditionally, Chinese, Japanese, Vietnamese and Korean are written vertically
in columns going from top to bottom and ordered from right to left, with each
new column starting to the left of the preceding one." — Wikipedia
The Asian reading order has certain artistic advantages:
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Four-Color Structures (Review)
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Wednesday, February 2, 2022
Groundhog Day Metamorphosis
" Whether correspondences were achieved by means of
wordplay, atavistic formal resemblances, or serendipitous
coincidences, the attendant metamorphosis of literary
material into Frye's own scripture could become tiresome:
'just another shake of the kaleidoscope.' " [Link added.]
— From p. 61 of "The Master of the Myth of Literature:
An Interpenetrative Ogdoad for Northrop Frye,"
by Nohrnberg, James C., Comparative Literature ,
Vol. 53 (1), pp. 58-82, Duke University Press,
January 1, 2001.
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Conway’s Game vs. Pure Geometry
A question attributed to John Horton Conway
about configurations in his Game of Life —
"Indeed, is there a Godlike still-life,
one that can only have existed
for all time . . . . ?"
A simple answer … but not from Conway's Game —
"Before time began, there was the Cube." — Optimus Prime
Related remarks: Ogdoad.
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Tuesday, February 1, 2022
Lurching Into the Lexicon
See as well a 2019 Neal Stephenson novel —
From a New York Times review of that novel:
"Early choices, or sometimes relatively arbitrary initial conditions,
end up shaping future events and technologies. In this case,
the cosmology, topography and even the theology of an entire
universe — Bitworld — affect Meatspace, and the two realms
are linked in a feedback loop of cause and effect, resources and
outcomes (dollars, computing power)."
— Charles Yu, June 14, 2019
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