See also posts in the Log24 search Bauhaus Space.
Saturday, February 9, 2019
Lintel
In memory of Albert Finney's role as an architect
in "Two for the Road," see Lintel in this journal.
Related material: Finney in "The Green Man" and
RIP: The Peace of Pi.
Friday, February 8, 2019
Thursday, February 7, 2019
Geometry of the 4×4 Square: The Kummer Configuration
From the series of posts tagged Kummerhenge —
A Wikipedia article relating the above 4×4 square to the work of Kummer —
A somewhat more interesting aspect of the geometry of the 4×4 square
is its relationship to the 4×6 grid underlying the Miracle Octad Generator
(MOG) of R. T. Curtis. Hudson's 1905 classic Kummer's Quartic Surface
deals with the Kummer properties above and also foreshadows, without
explicitly describing, the finite-geometry properties of the 4×4 square as
a finite affine 4-space — properties that are of use in studying the Mathieu
group M24 with the aid of the MOG.
Saturday, January 26, 2019
In Memory of a Composer
who reportedly died early today in Paris, a tribute from
those who wrote the English lyrics for "Windmills of Your Mind" —
Installasjon
The above cryptic search result indicates that there may
soon be a new Norwegian art installation based on this page
of Eddington (via Log24) —
See also other posts tagged Kummerhenge.
Friday, January 25, 2019
Design Theory
Last night's post "Night at the Social Media" suggests . . .
A 404 for Katherine Neville (born on 4/04) —
Crucible Raiders Continues.
Fans of the New York Times philosophy series "The Stone"
(named for the legendary philosophers' stone) may consult
posts tagged "Crucible Raiders" in this journal.
Some context — the previous post, "Night at the Social Media."
Thursday, January 24, 2019
Night at the Social Media
See also Katherine Neville, Karl Pribram, and Cooper Hewitt in this journal.
“The Stone” Contributor Dies
"He was a regular contributor to the New York Times ’
philosophical forum, The Stone." — South Bend Tribune
See also Gutting in this journal.
Name Space
A correction at Wikipedia (Click to enlarge.) —
That this correction is needed indicates that the phrase
"Cullinane space" might be useful. (Click to enlarge.)
Wednesday, January 23, 2019
Decorated
For those who prefer more elaborate decorations —
1. A Facebook image from last August …
2. The Facebook glider suggests a tune from "The Thomas Crown Affair"
(1968) that appeared in a Dec. 16, 2018 post on Christianity and
"interlocking names"—
The revised lyrics describe a square space.
3. An even more elaborate square space:
the Dance of the Snowflakes from
Balanchine's version of The Nutcracker —
But Seriously . . .
The previous post suggests a review.
Two images in memory of a journalist —
Illustration from a post on Monday, Jan. 21, 2019 (color inverted):
Tuesday, January 22, 2019
Iconic Remotivation
From an obituary in yesterday's online New York Times —
Photo credit: Gabriella Angotti-Jones/The New York Times
This journal in the time frame of events leading to the obituary —
On "Wakean Cryptogenetics" —
"… Joyce now disposes of a complex machine thanks to which
any linguistic item culled when reading a book, a magazine,
overhearing a conversation, meditating upon a dream, can find
an actor who will underwrite it . . . ."
— P. 81 in Joyce upon the Void by Jean-Michel Rabaté,
Palgrave-Macmillan, 1991.
An Actor —
Monday, January 21, 2019
Meditation for the Champ de Mors
"his onesidemissing for an allblind alley
leading to an Irish plot in the Champ de Mors"
— James Joyce, Finnegans Wake
Sunday, January 20, 2019
Scope Resolution
Wikipedia on a programming term —
The scope resolution operator helps to identify
and specify the context to which an identifier refers,
particularly by specifying a namespace. The specific
uses vary across different programming languages
with the notions of scoping. In many languages
the scope resolution operator is written
"::".
In a completely different context, these four dots might represent
a geometric object — the four-point plane .
Saturday, January 19, 2019
Friday, January 18, 2019
Location, Location, Location
The Woke Grids …
… as opposed to The Dreaming Jewels .
A July 2014 Amsterdam master's thesis on the Golay code
and Mathieu group —
"The properties of G24 and M24 are visualized by
four geometric objects: the icosahedron, dodecahedron,
dodecadodecahedron, and the cubicuboctahedron."
Some "geometric objects" — rectangular, square, and cubic arrays —
are even more fundamental than the above polyhedra.
A related image from a post of Dec. 1, 2018 —
Thursday, January 17, 2019
The Dreaming Jewels’ Nightmares
Some Log24 posts related to Theodore Sturgeon's 1950 tale
of The Dreaming Jewels have been tagged with that title.
For a purely mathematical approach to Sturgeon's concept see . . .
For some related nightmares, see July 2014 in this journal.
Wednesday, January 16, 2019
Her Work
From the above L.A. Times article —
Where then does the morbid negativity in her work come from? "Oh boy! That's an even bigger mystery," Andres says, laughing. "You see, I don't like talking about this stuff, because it has to do with psychic phenomena and stuff going on inside me I don't necessarily understand or want to understand. But the truth is that there is some pretty dark and scary content in the work, an acceptance of dark energies which exist whether we like it or not. "I am mostly interested in getting at a place, a mental reality, that the day-to-day human body couldn't express: a half-way place between film and the body that points to a strange, unexplainable way of seeing stuff, of feeling stuff, of knowing stuff, of being completely different." |
The New York Times this evening reports that Andres died on Jan. 6.
Permutahedron Dream
The geometric object of the title appears in a post mentioning Bourgain
in this journal. Bourgain appears also in today's online New York Times —
https://www.nytimes.com/2019/01/16/
obituaries/jean-bourgain-dead.html .
Bourgain reportedly died on December 22.
An image from this journal on that date —
Related poetic meditations —
The Dreaming Polyhedron
"Here is a recipe for preparing a copy of the Mathieu group M24.
The main ingredient is a genus-3 regular polyhedron X
with 56 triangular faces, 84 edges, and 24 vertices.
The most delicate part of this recipe is to hold the polyhedron
by the 24 vertices and immerse the rest of it in 3-dimensional space."
— "How to Make the Mathieu Group M24 ," undated webpage
by David A. Richter, Western Michigan University
Illustration from that page —
"Another model of the (universal cover of the) polyhedron X"
Related fiction —
Cover of a 1971 British paperback edition of The Dreaming Jewels,
a story by Theodore Sturgeon (first version published in 1950):
Discuss Richter's model and the Sturgeon tale
in the context of posts tagged Aitchison.
Tuesday, January 15, 2019
Paragraph 13
Related material —
The recent post "For Captain Midnight and the Whole Sick Crew"
and an illustration from the Log24 link in yesterday's post "Searching" —
Monday, January 14, 2019
For the Hero of Midnight
Sunday, January 13, 2019
Sunday the Thirteenth (Revisited)
Eleven’s Rosebud
The previous post suggests a review.
On December 11 (click to enlarge) —
Related image from this journal on December 11 ("Carried Away") —
The new American Mathematical Society logo suggests
the Jamaican Bobsled Team:
Into the Upside Down
The Clifford Narrative
See also Clifford in this journal, in particular
The Matrix for Quantum Mystics
(Log24, St. Andrew's Day, 2017).
Saturday, January 12, 2019
Friday, January 11, 2019
Permutations at Oslo
See also yesterday’s Archimedes at Hiroshima and the
above 24 graphic permutations on All Souls’ Day 2010.
For some backstory, see Narrative Line (November 10, 2014).
Atiyah at Oslo
Photo caption for the obituary below —
"Michael Atiyah, center, and Isadore M. Singer receive the Abel Award
from Norway’s King Harald in Oslo in 2004…" Credit: Knut Falch,
SCANPIX/Associated Press
Thursday, January 10, 2019
Archimedes at Hiroshima
Two examples from the Wikipedia article "Archimedean solid" —
Iain Aitchison said in a talk last year at Hiroshima that
the Mathieu group M24 can be represented as permuting
naturally the 24 edges of the cuboctahedron.
The 24 vertices of the truncated octahedron are labeled
naturally by the 24 elements of S4 in a permutahedron —
Can M24 be represented as permuting naturally
the 24 vertices of the truncated octahedron?
Reality at Virginia Tech:
The Takeuchi Question —
From remarks at Miami last December:
A similiar question about the Fano plane —
Can we make the model more "real"?
From remarks here last November:
For Captain Midnight* and the Whole Sick Crew
Wednesday, January 9, 2019
Valid States of Maximal Knowledge
"Few scripts would have the audacity
to have the deus ex machina be
a Captain Midnight decoder ring."
— Review of "The House with
a Clock in Its Walls" (2018 film)
Related mathematics (click to enlarge) . . .
The "uwa.edu.au" above is for the University of Western Australia.
See the black swan in its coat of arms (and in the above film).
Desperately Seeking Clarity*
A much earlier, much truer, obituary —
* A sequel to Resonant Clarity and Desperately Seeking Resonance.
Quantum electrodynamics is also known as QED.
Tuesday, January 8, 2019
For the Church of Synchronology*
* See Synchronology and the previous post.
Lost in Translation
"The field of quantum optics was essentially born
with the development of quantum theories of optical coherence
and of the states of the radiation field by Glauber… in 1963."
— Rodney Loudon, The Quantum Theory of Light ,
Third Edition, Oxford University Press, 23 November 2000
The New York Times on a December 26 death —
Hebrew, Aramaic, whatever.
Desperately Seeking Resonance
"Eight strangers from cities around the globe
begin having experiences that defy explanation."
As do "Burnt Norton" and "Bird Box."
Monday, January 7, 2019
Resonant Clarity
Abstract for a talk at the City University of New York:
The Experience of Meaning Once the question of truth is settled, and often prior to it, what we value in a mathematical proof or conjecture is what we value in a work of lyric art: potency of meaning. An absence of clutter is a feature of such artifacts: they possess a resonant clarity that allows their meaning to break on our inner eye like light. But this absence of clutter is not tantamount to 'being simple': consider Eliot's Four Quartets or Mozart's late symphonies. Some truths are complex, and they are simplified at the cost of distortion, at the cost of ceasing to be truths. Nonetheless, it's often possible to express a complex truth in a way that precipitates a powerful experience of meaning. It is that experience we seek — not simplicity per se , but the flash of insight, the sense we've seen into the heart of things. I'll first try to say something about what is involved in such recognitions; and then something about why an absence of clutter matters to them. |
For some context, see posts tagged Artifacts.
Sunday, January 6, 2019
The Roethke Quote (For Harlan Kane)
Hat tip to Benjamin Markovits …
… for a quote from Roethke —
“Ah, when she moved, she moved more ways than one:
The shapes a bright container can contain!”
At the Still Point . . .
For Richard Marks, a film editor who reportedly died unexpectedly
at 75 in New York City on New Year's Eve —
Click to enlarge the inset.
For Broom Bridge*
GL(2,3) is not unrelated to GL(3,2).
See Quaternion Automorphisms
and Spinning in Infinity.
* See Wikipedia.
Saturday, January 5, 2019
Cornell Geometry
See Thurston + Cornell and Henderson + Cornell.
This post was suggested by the latter.
Friday, January 4, 2019
Philosophy in a New Tree
See also http://m759.net/wordpress/?s=Cleft .
Thursday, January 3, 2019
Wednesday, January 2, 2019
Wolf as Lamb
The above graphic design is by Noma Bar.
See as well the lamb-in-triangle of the Dec. 27 post
A Candle for Lily —
Related material —
Remarks by Evelyn Lamb on the Deathly Hallows symbol.
“Pleasantly Discursive” Continues.
From this journal on December 13th, 2016 —
" There is a pleasantly discursive treatment
of Pontius Pilate’s unanswered question
‘What is truth?’ "
— Coxeter, 1987, introduction to Trudeau’s
The Non-Euclidean Revolution
Also on December 13th, 2016 —
Tuesday, January 1, 2019
Child’s Play Continues — La Despedida
This post was suggested by the phrase "Froebel Decade" from
the search results below.
This journal a decade ago had a post on the late Donald Westlake,
an author who reportedly died of a heart attack in Mexico on Dec. 31,
2008, while on his way to a New Year's Eve dinner.
One of Westlake's books —
Related material —
Monday, December 31, 2018
Eve’s Riddle
The Dickinson poem quoted above is numbered 373 at
the Poetry Foundation.
See also Eternity + 373 in this journal.
Sunday, December 30, 2018
Mechanical Parable
Raiders of the Lost Crucible and Bee Season continue …
"Walter Kerr, in his 1953 review in the New York Herald Tribune ,
wrote, 'The Crucible , which opened at the Martin Beck Thursday,
…seems to me to be taking a step backward into mechanical parable,
into the sort of play which lives not in the warmth of humbly observed
souls but in the ideological heat of polemic.' For Kerr, Miller’s play is
an analytical argument, a treatise, rather than a heartfelt play about
human lives."
— http://www.americanpopularculture.com/
archive/bestsellers/authur_miller.htm
A more heartfelt approach —
" … this beautiful love story . . . ."
Also Sprach Aitchison
The New Yorker reviewing "Bumblebee" —
"There is one reliable source for superhero sublimity,
and it’s all the more surprising that it’s a franchise with
no sacred inspiration whatsoever but, rather, of purely
and unabashedly mercantile origins: the 'Transformers'
series, based on a set of toys, in which Michael Bay’s
exhilarating filmmaking offers phantasmagorical textures
of an uncanny unconscious resonance."
— Richard Brody on December 29, 2018
"Before time began, there was the Cube."
— Optimus Prime
Some backstory — A Riddle for Davos, Jan. 22, 2014.
Meanwhile, in a different New Yorker department…
From Annals of Technology —
Saturday, December 29, 2018
Annals of Style: Perfecting the New Yorker Sneer
See also the Verwandlungslehre link from the previous post
and The Hassenfeld Legacy (for Harlan Kane).
To the Lighthouse
The release date of "Annihilation" was February 23, 2018.
See also "Snow Games" in this journal on that date
and, more generally, posts tagged Verwandlungslehre .
Winter Tree
The title is that of a 1977 poem by Jon Lang.
A different sort of narrative tree, from The Onion on the
date Friday, July 1, 2016, was illustrated in the previous post.
Material from this journal related to July 1, 2016,
and the following day, a Saturday, is now tagged
"Saturday Night in the Labyrinth."
"A Damned Serious Business." — Rex Harrison on comedy
Friday, December 28, 2018
Phenomenology of Viewing
Blackline Master
From a Log24 post of September 4, 2018, "Identity Crisis" —
From the 2011 Spanish film "Verbo" — (Click to enlarge) —
From a Blackline Master —
Thursday, December 27, 2018
A Candle for Lily
Wednesday, December 26, 2018
Mathematical Labyrinth
See as well Stein in posts tagged Narrative Labyrinth.
Tuesday, December 25, 2018
Simply
"So to obtain the isomorphism from L2(7) onto L3(2) we simply
— Sphere Packings, Lattices and Groups , |
Compare and contrast —
This post was suggested by a New York Times headline today —
Sunday, December 23, 2018
Winter Fire
Saturday, December 22, 2018
The Hat Tip
“It’s a war every day.”
The title is from a New York Times story online this afternoon.
A recent pop-culture use of the word "war" —
The six "infinity stones" sought in the above war
suggest a review of the "six points of general position
in real projective 4-space" mentioned in today's earlier
post "Cremona-Richmond." See as well Ron Shaw
in that post and in the infinity-related book below —
British Pottery
An introduction to the previous post, "Cremona-Richmond" —
Cremona-Richmond
The following are some notes on the history of Clifford algebras
and finite geometry suggested by the "Clifford Modules" link in a
Log24 post of March 12, 2005 —
A more recent appearance of the configuration —
Friday, December 21, 2018
Crisis Focus
"Crisis" and "focus," two words prominent in recent Log24 posts,
recur in a New York Times story this morning —
Thursday, December 20, 2018
Slow
Some images suggested by the previous post and by the date
of the documentary below — March 12, 2005 —
See also Slow Art.
Dreamstime
Office scene from "Spotlight," a 2015 film about The Boston Globe.
The "Spotlight" office picture is apparently this image of
Mount Illimani and La Paz, Bolivia, from dreamstime.com.
Wednesday, December 19, 2018
Focus
http://m759.net/wordpress/?tag=ruthless-focus
Related material —
Some backstory —
Tuesday, December 18, 2018
CV
The title abbreviates* that of a collection of Wittgenstein's remarks:
Ludwig Wittgenstein — Culture and Value Showing 20 results for spirit — page 18, rubble & finally a heap of ashes; but spirits will hover over the ashes. MS 107 229: page 18, Page 5 Only something supernatural can expre page 20, contemplating it from above in its†c flight.† page 21, spirit in which it is written.†f This spirit is, I believe, different from that of t page 21, and American civilization. The spirit of this civilization the expression of page 21, day†h fascism & socialism, is a spirit that is alien & uncongenial†i to the au page 21, he Page Break 9 can work in the spirit of the whole, and his strength can with page 21, straight for what is concrete. Which is chara page 22, danger in a long foreword is that the spirit of a book has to be evident in the book page 22, It is all one to me whether the typical weste page 23, a great temptation to want to make the spirit explicit. MS 109 204: 6-7.11.1930 Page page 23, readers that will be clear just from the fact page 28, Foggy day. Grey autumn haunts us. Laughter se page 42, If one wanted to characterize the essence of page 51, attention from what matters.) The Spirit puts what is essential, essential for y page 51, how far all this is exactly in the spirit of Kierkegaard.) MS 119 151: 22.10.1937 page 51, something feminine about this outlook?) MS 11 page 100, comfortable, clearer expression, but cannot b page 106, act otherwise."–Perhaps, though, one might s page 210, Page 7 †b function Page 7 †c from its Page **************************************************************** |
The above "spirit guide" was suggested by yesterday's post
on Knuth as Yoda and by the paper in today's previous post,
"Shadowhunter Tales."
This post's title, "CV," is from . . .
Shadowhunter Tales
The recent post "Tales from Story Space," about the 18th birthday
of the protagonist in the TV series "Shadowhunters" (2016-),
suggests a review of the actual 18th birthday of actress Lily Collins.
Collins is shown below warding off evil with a magical rune as
a shadowhunter in the 2013 film "City of Bones" —
She turned 18 on March 18, 2007. A paper on symmetry and logic
referenced here on that date displays the following "runes" of
philosopher Charles Sanders Peirce —
See also Adamantine Meditation (Log24, Oct. 3, 2018)
and the webpage Geometry of the I Ching.
Monday, December 17, 2018
The Cleft*
From this journal on October 18, 2018 —
"Show all" — Yes!
*Update to the above post from the morning after:
The title uses "cleft" rather than Gaitskill's term for the
pictured bifurcation, "crotch." This is in part because
the former yielded search results in this journal, while
the latter did not.
Dick and Yoda
The New York Times this afternoon —
“What do we believe in?” Dick asks his Yoda
at one point, provoking a gale of laughter in response.
— A. O. Scott reviewing "Vice"
See as well Log24 on April 1, 2017 —
Tales from Story Space
"Kiernan Brennan Shipka (born November 10, 1999)
is an American actress. She is best known for starring as
Sabrina Spellman on the Netflix supernatural horror series
Chilling Adventures of Sabrina (2018–present)." — Wikipedia
As noted here earlier, Shipka turned 18 on Nov. 10 last year.
From Log24 on that date —
Another 18th birthday in Story Space —
Signs
“When there’s nothing to believe in
Still you’re coming back,
you’re running back
You’re coming back for more
So put me on a highway….”
— Eagles, 1975
See also …
See as well Knuth in this journal.
"Spirit-guide of the algorithmic realm"
— Description of Donald Knuth by Siobhan Roberts, Dec. 17, 2018.
There are spirit guides and spirit guides.
"One of These Nights is the fourth studio album
by the Eagles, released in 1975." — Wikipedia
Sunday, December 16, 2018
Inaction Illustrated
See "Inaction Film," a Log24 post of August 21, 2012 —
the date of death for one William P. Thurston.
Sunday School News
See as well Friday night's post "Lone Star Wars."
Saturday, December 15, 2018
Bee Season continues.
Casting
"When you cast a spell . . . ."
See Lily Collins in The Telegraph today. A related tale —
"On August 30, 2017, Lily Collins was cast … as Edith Tolkien,
love and later wife of Tolkien, who was also the inspiration of
the princess characters in The Lord of the Rings ."
— https://en.wikipedia.org/wiki/Tolkien_(film)
The Log24 posts of August 30, 2017, are now tagged Verbum 2017.
A Very Belated Happy Birthday…
To Chloë Grace Moretz ("Brain on Fire" (US release June 22, 2018),
and "Clouds of Sils Maria" (2014-15 in various film festivals)).
From a post of Feb. 10, 2018, when Moretz turned 21 —
Friday, December 14, 2018
Starbird Variations
The reference in the previous post's image to "Starbird No. 2,"
the single on the flip side of Manfred Mann's 1976 version of
"Blinded by the Light," suggests a review —
A professor named Starbird —
From the above YouTube date,
a bird of a different color —
The Blinded Ear
The Aug. 6, 1976, single of
Manfred Mann's Earth Band version of
Springsteen's 1972 "Blinded by the Light"—
See also two posts of Oct. 29, 2015.
Thursday, December 13, 2018
Big Space Odyssey
Dirty Deeds
The title was suggested by headlines in today's news
and by the classic film "Dirty Computer."
"It's been dirty for dirty
Down the line . . ."
— Joni Mitchell,
"For the Roses" album (1972)
Space Art
For Oslo artist Josefine Lyche, excerpts
from a Google image search today —
Material related to Lyche's experience as an adolescent with a ZX Spectrum computer —
Click "Hello World" for a larger image.
Wednesday, December 12, 2018
Kummerhenge Continues.
Those pleased by what Ross Douthat today called
"The Return of Paganism" are free to devise rituals
involving what might be called "the sacred geometry
of the Kummer 166 configuration."
As noted previously in this journal,
"The hint half guessed, the gift half understood, is Incarnation."
— T. S. Eliot in Four Quartets
See also earlier posts also tagged "Kummerhenge" and
another property of the remarkable Kummer 166 —
For some related literary remarks, see "Transposed" in this journal.
Some background from 2001 —
An Inscape for Douthat
Some images, and a definition, suggested by my remarks here last night
on Apollo and Ross Douthat's remarks today on "The Return of Paganism" —
In finite geometry and combinatorics,
an inscape is a 4×4 array of square figures,
each figure picturing a subset of the overall 4×4 array:
Related material — the phrase
"Quantum Tesseract Theorem" and …
A. An image from the recent
film "A Wrinkle in Time" —
B. A quote from the 1962 book —
"There's something phoney
in the whole setup, Meg thought.
There is definitely something rotten
in the state of Camazotz."
Tuesday, December 11, 2018
Review
See also a theater review of a Walpurgisnacht 2008
Brooklyn Academy of Music production —
The New York Times on the Walpurgisnacht production —
"Specifically grim but never merely glum, the production fully taps
the self-conscious theatricality of the play ('I’m warming up for
my last soliloquy,' Hamm announces toward the end) without
letting us forget that its strange figures are appallingly real,
enacting a grotesque pantomime of humanity’s hungry need to
distract itself by wresting order, meaning and a sliver of satisfaction —
just one more sugarplum, please, or maybe a Vicodin — from
the formless, aimless, timeless nothingness of life."
— Charles Isherwood
The Epstein Exit
A New York Times obituary photo caption this afternoon —
"Alvin Epstein, center, with Elaine Stritch and John Turturro
in a production of Samuel Beckett’s 'Endgame' at the
Brooklyn Academy of Music in 2008. Mr. Epstein played all
three male roles in 'Endgame' at various stages in his career . . . ."
— https://www.nytimes.com/2018/12/11/obituaries/alvin-epstein-dead.html
Epstein reportedly died yesterday, Dec. 10, in Newton, Mass., at 93.
Carried Away
"The word 'ablative' derives from the Latin ablatus ,
the (irregular) perfect passive participle of auferre 'to carry away'.[1]"
Example —
See as well Cicero, In Verrem II. 1. 46 —
He reached Delos. There one night he secretly 46
carried off, from the much-revered sanctuary of
Apollo, several ancient and beautiful statues, and
had them put on board his own transport. Next
day, when the inhabitants of Delos saw their sanc-
tuary stripped of its treasures, they were much
distressed . . . .
Delum venit. Ibi ex fano Apollinis religiosissimo noctu clam sustulit signa pulcherrima atque anti- quissima, eaque in onerariam navem suam conicienda curavit. Postridie cum fanum spoliatum viderent ii qui Delum incolebant, graviter ferebant . . . .
Sunday, December 9, 2018
Quaternions in a Small Space
The previous post, on the 3×3 square in ancient China,
suggests a review of group actions on that square
that include the quaternion group.
Click to enlarge —
Three links from the above finitegeometry.org webpage on the
quaternion group —
-
Visualizing GL(2,p) — A 1985 note illustrating group actions
on the 3×3 (ninefold) square. -
Another 1985 note showing group actions on the 3×3 square
transferred to the 2x2x2 (eightfold) cube. - Quaternions in an Affine Galois Plane — A webpage from 2010.
Related material —
See as well the two Log24 posts of December 1st, 2018 —
Character and In Memoriam.
Friday, December 7, 2018
The Angel Particle
(Continued from this morning)
"The hint half guessed, the gift half understood, is Incarnation."
— T. S. Eliot in Four Quartets
See also other Log24 posts tagged Kummerhenge.
An Ark for Hanukkah
From religionnews.com —
"The word 'Hanukkah' means dedication.
It commemorates the rededicating of the
ancient Temple in Jerusalem in 165 B.C. . . . ."
From The New York Times this morning —
Related material —
From this journal on Wednesday, December 5, 2018 —
Megan Fox in "Transformers" (2007) —
From a Google image search this morning —
The image search was suggested by recent posts tagged Aitchison
and by this morning's previous post.
The Angel Particle
https://newatlas.com/angel-particle-own-antiparticle/50579/
Scientists discover "angel particle"
Michael Irving . . . . "Our team predicted exactly where to find the Majorana fermion and what to look for as its 'smoking gun' experimental signature," says Shoucheng Zhang, one of the senior authors of the research paper. "This discovery concludes one of the most intensive searches in fundamental physics, which spanned exactly 80 years." . . . . Zhang proposes that the team's discovery be named the "angel particle" after the Dan Brown novel Angels and Demons , which features a bomb powered by the meeting of matter and antimatter. In the long run, Majoranas could find practical application in making quantum computers more secure. The research was published in the journal Science . . . . |
See as well Stanford News yesterday —
Shoucheng Zhang … died on Dec. 1. He was 55.
Zhang’s death was unexpected and followed
a “battle with depression,” according to his family.
Thursday, December 6, 2018
The Mathieu Cube of Iain Aitchison
This journal ten years ago today —
Surprise Package
From a talk by a Melbourne mathematician on March 9, 2018 —
The source — Talk II below —
Search Results
|
Related material —
The 56 triangles of the eightfold cube . . .
- in Aitchison's March 9, 2018, talk (slides 32-34), and
- in this journal on July 25, 2008, and later.
Image from Christmas Day 2005.
Wednesday, December 5, 2018
The Hassenfeld Legacy
The Finkelstein Talisman —
"Before time began, there was the Cube."
— Optimus Prime in "Transformers" (Paramount, 2007)
Wikipedia on Hasbro —
Three American Jewish brothers,[6] Herman, Hillel, and Henry Hassenfeld[7]
founded Hassenfeld Brothers in Providence, Rhode Island in 1923 . . . .
The Hassenfeld Auction —
Also on September 16, 2015 —
The Hindman Image —
The Hood Warenkorb —
Under the Hood —
Megan Fox in "Transformers" (2007) —
This Way to the Egress —