An article yesterday at Quanta Magazine suggests a review . . .
From Diamond Theorem images at Pinterest —
Some background —
An article yesterday at Quanta Magazine suggests a review . . .
From Diamond Theorem images at Pinterest —
Some background —
A flashback from Log24 posts of July 9-11, 2020,
now tagged Structure and Mutability —
For such temptation, see
Dwarves named “Durin.”
Attraction 2: The Digital Rights Management version —
The “Huh?” is from the character Google, at 0:13:07. Click to enlarge.
* See the title phrase in this journal.
The New York Times reports a July 14 death —
“… Dr, Lauersen … was once married to the heiress
and dance patron Rebekah West Harkness ….” [Links added.]
“Do not block intersection.” — City of Los Angeles
Happy Birthday to Kate Beckinsale from Carl Jung.
Related philosophy —
“It seems, as one becomes older,
That the past has another pattern,
and ceases to be a mere sequence….”
— T. S. Eliot, Four Quartets
See cyber space (as opposed to space ) in The Game (July 25, 2011).
Related material — The Ninth Year.
“… to uphold the same ideal image of Space Age perfection.”
— Matt Schudel in The Washington Post , July 24, 2020, at 7:52 p.m. EDT
The title is from a 2006 pedagogic address.
Related material from the post “White Mischief” (Feb. 23, 2016) —
“It’s solution, dissolution. Just over and over and over.
It is growth, then decay, then transformation! .
It is fascinating, really.”
— Walter White, Season 1, Ep. 1, “Pilot”
more or less as quoted in huffingtonpost.com
The Project Voldemort logo capture shown below is the first one at archive.org.
It is dated Dec. 23, 2009. See also this journal on that date —
“V. is whatever lights you to the end of the street: she is also the dark annihilation waiting at the end of the street.” (Tony Tanner, page 36, "V. and V-2," in Pynchon: A Collection of Critical Essays, ed. Edward Mendelson. Prentice-Hall, 1978. 16-55). |
Subtitles from “Laurel Canyon,” a 2002 film — 7 8 |
Related logo with “Fork me on GitHub” ribbon —
“When you come to a fork . . .” — Yogi Berra
“The pattern of the thing precedes the thing.
I fill in the gaps of the crossword at any spot
I happen to choose. These bits I write on
index cards until the novel is done.”
— Vladimir Nabokov, interview,
Paris Review No. 41 (Summer-Fall 1967).
Another story —
Related material: Mathematics as a Black Art.
From “Nabokov’s Crosswords of Composition,” by Rebecca Freeh-Maciorowski, a paper presented at NEMLA, dated 15 October 2014 — “In a way, Nabokov’s entire oeuvre might be built upon one all-encompassing ‘crossword,’ a possibility raised by W.W. Rowe when he writes ‘Words and phrases seem faintly but undeniably to catch many others in the prism of their associations and connotations, almost as if Nabokov’s entire oeuvre were planned from the very start’ (viii). Turning to Pale Fire , the work of Simon Rowberry provides evidence of a whole network of ‘themed entries’ within this novel, what Rowberry refers to as ‘the novel’s promiscuous intertextuality.’ Alternately, the points and coordinates that Nabokov refers to constitute the composition’s ‘checked cells.’ The checked cells are the basic mechanism of the crossword puzzle; essentially, they are the guiding force of the entire puzzle, controlling both the construction and solution. These are the cells within the crossword puzzle in which two words intersect. In Nabokov’s compositional crossword, the ‘checked cells’ are those points which combine disparate entities, places of intersection, where objects and themes converge.” Rowe, W.W., Nabokov’s Deceptive World , New York University Press, 1971. Rowberry, Simon, “Pale Fire as a Hypertextual Network.” 22nd ACM Hypertext Conf., Eindhoven, Netherlands. 6-9 June 2011. Web. |
The Rowberry date appears to be, specifically, 8 June 2011:
A Kinbote note — See also this journal on 8 June 2011.
Update of 3:03 PM ET the same day —
In keeping with Kinbote’s character as an unreliable narrator . . .
Rowberry’s Eindhoven slides indicate he spoke on 9 June 2011.
See as well the Log24 post “Historical Fiction” from 9 June 2011.
* For the meaning of the title, see an obituary by Roberta Smith
in this morning’s New York Times , and Today’s Sermon.
“Are you a social worker?”
— Cinematic query in LA at Sunset and Selma
(Mojave , released 3 December 2015 (USA))
Related fiction —
“Then he realized why she looked familiar. He’d seen her just
a few hours before, at the job fair for social workers. They’d both
stood at the edge of a crowd that had gathered around a man
handing out applications for jobs at the Children’s Aid Society.
The demand was so great, he ran out of applications; John didn’t
get one, and neither did the redhead. Looking more resigned than
disappointed, the girl had sighed, ‘Oh well,’ to no one in particular
and then headed for the other end of the conference center.”
— Alpert, Mark. The Furies (p. 11), April 22, 2014.
(St. Martin’s Publishing Group. Kindle Edition)
See also Kripke in this journal.
From Log24 posts tagged Structure and Mutability —
“… an artifact that seemed to have resurrected him from the dead.”
— “Robert Ludlum’s” The Bourne Enigma , published on June 21, 2016
See as well the 2020 film Archive , and the related 2018 film Replicas
in Oslo Variations.
Prosaic —
Poetic —
Prosaic —
“These devices may have some
theoretical as well as practical value.“
Poetic —
See also The Lexicographic Octad Generator (LOG) (July 13, 2020)
and Octads and Geometry (April 23, 2020).
Browsing related to the graphic design theory described in the previous post
yielded a four-color diamond illustrating design at Microsoft —
For some related mathematics see . . .
The Four-Color Diamond’s 2007 Source —
See also Log24 posts from August 2007 now tagged The Four-Color Ring.
A related quotation:
“By far the most important structure in design theory
is the Steiner system S(5, 8, 24).”
— “Block Designs,” by Andries E. Brouwer
(Ch. 14 (pp. 693-746) of Handbook of Combinatorics,
Vol. I, MIT Press, 1995, edited by Ronald L. Graham,
Martin Grötschel, and László Lovász, Section 16 (p. 716))
See also the webpage Block Designs in Art and Mathematics
and Log24 posts tagged Plastic Elements.
In memory of . . .
“Helene Lovie Aldwinckle,
codebreaker, broadcaster and gallerist,
born 26 October 1920; died 24 April 2020″ —
Other posts now also tagged The Cologne Sextet.
The lexicographic Golay code
contains, embedded within it,
the Miracle Octad Generator.
By Steven H. Cullinane, July 13, 2020
Background —
The Miracle Octad Generator (MOG)
of R. T. Curtis (Conway-Sloane version) —
A basis for the Golay code, excerpted from a version of
the code generated in lexicographic order, in
“Constructing the Extended Binary Golay Code“
Ben Adlam
Harvard University
August 9, 2011:
000000000000000011111111
000000000000111100001111
000000000011001100110011
000000000101010101010101
000000001001011001101001
000000110000001101010110
000001010000010101100011
000010010000011000111010
000100010001000101111000
001000010001001000011101
010000010001010001001110
100000010001011100100100
Below, each vector above has been reordered within
a 4×6 array, by Steven H. Cullinane, to form twelve
independent Miracle Octad Generator vectors
(as in the Conway-Sloane SPLAG version above, in
which Curtis’s earlier heavy bricks are reflected in
their vertical axes) —
01 02 03 04 05 . . . 20 21 22 23 24 --> 01 05 09 13 17 21 02 06 10 14 18 22 03 07 11 15 19 23 04 08 12 16 20 24 0000 0000 0000 0000 1111 1111 --> 0000 11 0000 11 0000 11 0000 11 as in the MOG. 0000 0000 0000 1111 0000 1111 --> 0001 01 0001 01 0001 01 0001 01 as in the MOG. 0000 0000 0011 0011 0011 0011 --> 0000 00 0000 00 0011 11 0011 11 as in the MOG. 0000 0000 0101 0101 0101 0101 --> 0000 00 0011 11 0000 00 0011 11 as in the MOG. 0000 0000 1001 0110 0110 1001 --> 0010 01 0001 10 0001 10 0010 01 as in the MOG. 0000 0011 0000 0011 0101 0110 --> 0000 00 0000 11 0101 01 0101 10 as in the MOG. 0000 0101 0000 0101 0110 0011 --> 0000 00 0101 10 0000 11 0101 01 as in the MOG. 0000 1001 0000 0110 0011 1010 --> 0100 01 0001 00 0001 11 0100 10 as in the MOG. 0001 0001 0001 0001 0111 1000 --> 0000 01 0000 10 0000 10 1111 10 as in the MOG. 0010 0001 0001 0010 0001 1101 --> 0000 01 0000 01 1001 00 0110 11 as in the MOG. 0100 0001 0001 0100 0100 1110 --> 0000 01 1001 11 0000 01 0110 00 as in the MOG. 1000 0001 0001 0111 0010 0100 --> 10 00 00 00 01 01 00 01 10 01 11 00 as in the MOG (heavy brick at center).
Update at 7:41 PM ET the same day —
A check of SPLAG shows that the above result is not new:
And at 7:59 PM ET the same day —
Conway seems to be saying that at some unspecified point in the past,
M.J.T. Guy, examining the lexicographic Golay code, found (as I just did)
that weight-8 lexicographic Golay codewords, when arranged naturally
in 4×6 arrays, yield certain intriguing visual patterns. If the MOG existed
at the time of his discovery, he would have identified these patterns as
those of the MOG. (Lexicographic codes have apparently been
known since 1960, the MOG since the early 1970s.)
* Addendum at 4 AM ET the next day —
See also Logline (Walpurgisnacht 2013).
The above novel uses extensively the term “inscape.”
The term’s originator, a 19th-century Jesuit poet,
is credited . . . sort of. For other uses of the term,
search for Inscape in this journal. From that search —
A quote from a 1962 novel —
“There’s something phoney
in the whole setup, Meg thought.
There is definitely something rotten
in the state of Camazotz.”
Addendum for the Church of Synchronology —
The Joe Hill novel above was published (in hardcover)
on Walpurgisnacht —April 30, 2013. See also this journal
on that date.
As noted in the previous post, the phrase “the ability to jump
in and out of spaces” was quoted in an update this morning to
a July 2 post, “The Maxwell Enticement.” Related jumping —
See also other Log24 posts now tagged Knight Move.
The phrase “the ability to jump in and out of spaces” was quoted
in an update this morning to a July 2 post, “The Maxwell Enticement.”
This suggests other Log24 posts now tagged “Jack in the Box.”
A related image, from Know Your Meme —
The above reported death date suggested a Log24 update this morning.
See that update in The Maxwell Enticement , July 2, 2020.
See also the previous post and the Red Books of May 30.
The previous post contained a passage from Iris Murdoch’s
1961 essay “Against Dryness.” Some related philosophy —
For those who prefer pure mathematics to philosophical ruminations
there are some relevant remarks in my webpage of August 27, 2003.
For those who prefer fiction —
“Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.
This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”
— “Robert Ludlum’s” The Bourne Enigma , published on June 21, 2016
Passing, on June 21, 2016, into a higher dimension —
Graham reportedly died yesterday, Monday, July 6, 2020.
His AMS obituary says “he created the Erdős number.”
See also the tag in the previous post.
(That tag was created and added to several posts
just before I saw the above news of Graham’s death.
The tag, Erdős number, was suggested by an earlier post from
June 30 — the cartoonist’s death date in today’s 8:45 PM post.)
The Liquor Locker appears also in Into the Sunset (Aug. 24, 2019)
and in For Devil’s Night (Oct. 30, 2017).
Lines from “Impulse,” a 1990 Sondra Locke film —
He died by two contact Definitely small caliber. There’s almost no rigor, so time of death an anonymous woman If a broad did it, she sure knew |
“Bing bang . . . .” — Song lyric quoted here on 7/01.
Death by Ventilator
Related reading —
“As doctors got a crash course in the new disease,
their stance on ventilators began to evolve.“
“He recounted the story of Adam and Eve, who were banished
from paradise because of their curiosity. Their inability to resist
the temptation of the forbidden fruit. Which itself was a metaphorical
stand-in for knowledge and power. He urged us to find the restraint
needed to resist the temptation of the cube—the biblical apple
in modern garb. He urged us to remain in Eden until we were able
to work out the knowledge the apple offered, all by ourselves.”
— Richards, Douglas E.. The Enigma Cube (Alien Artifact Book 1)
(pp. 160-161). Paragon Press, 2020. Kindle Edition.
The biblical apple also appears in the game, and film, Assassin’s Creed .
Related material —
See the cartoon version of Alfred North Whitehead in the previous post,
and some Whitehead-related projective geometry —
The previous post reported, perhaps inaccurately, a publication
date of February 13, 2020, for the novel The Enigma Cube .
A variant publication date, Jan. 21, 2020, is reported below.
This journal on that date —
Promotional material —
“Did you buckle up?” — Harlan Kane
The publication date of The Enigma Cube reported above was February 13, 2020.
Related material — Log24 posts around that date now tagged The Reality Bond.
Image from a film review of “Eureka” (a 1983 film by Nicolas Roeg).
Note the date of the review — January 09, 2015.
Also on January 09, 2015 —
Related cinematic philosophy —
See also a different interpretation, by David Lynch,
of the “twin peaks” concept —
Midrash for Mayakofsky —
“…problems can be solved by manipulating just two symbols, 1 and 0….”
— George Johnson, obituary of Claude Shannon
“The female and the male continue this charming dance, populating
the world with all living beings.”
— Leonard Shlain, The Alphabet Versus the Goddess,
Penguin Arkana paperback, 1999, Chapter 17,
“Lingam/Yoni”
From the above search result — “0.69 seconds.”
See as well Theresa Russell and Rutger Hauer in Eureka . . .
See also a different interpretation, by David Lynch,
of the “twin peaks” concept —
[Update of Sunday morning, July 12, 2020 —
This July 2 post was suggested in part by the July 1 post Magic Child
and in part by the Sept. 15, 1984, date in the image below. For more
details about that date, possibly the death date of author Richard
Brautigan, see “The Life and Death of Richard Brautigan,” by
Lawrence Wright, in Rolling Stone on April 11, 1985.
From that article:
Marcia called him the next night [Sept. 15, 1984]
in Bolinas. He asked if she liked his mind. “I said,
‘Yes, Richard, I like your mind. You have the ability
to jump in and out of spaces. It’s not linear thinking;
it’s exciting, catalytic, random thinking.’ “
Such thinking, though interesting, is not recommended for the
general public. Sept. 15, 1984, was perhaps Brautigan’s last day alive.]
* See Maxwell in posts tagged Gods and Giants.
The above title was suggested by a scene in Body Double (1984) . . .
Variations, starring Theresa Russell, on related themes —
The De Palma Balcony in Body Double , and “ready for my closeup” —
“Bing bang, I heard the whole gang!”
Summary —
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