Log24

Monday, July 22, 2019

Visual Languages

Filed under: General — Tags: — m759 @ 4:48 am

Good question. See also this  journal on the above date —

September 15, 2018.

Space, Time, Form

Filed under: General — Tags: — m759 @ 3:33 am

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

Click the image for some remarks on a related novel.

Sunday, July 21, 2019

Space Speaks, Time Listens

Filed under: General — Tags: , — m759 @ 9:17 am

'The Power Of The Center: A Study of Composition in the Visual Arts,' by Rudolf Arnheim

Also on April 17, 2012 — A Wikimedia image upload —

See as well a Log24 search for "Space Itself."

Saturday, July 20, 2019

404 Found!

Filed under: General — Tags: — m759 @ 1:14 pm

Humor for Professor X

Filed under: General — Tags: — m759 @ 12:00 pm

720 = 6!

Filed under: General — m759 @ 11:05 am

Check it out.

Game of Shadows

Filed under: General — m759 @ 4:22 am

    See also the Fifth of November, 2011.

Friday, July 19, 2019

Kyoto Story

Filed under: General — Tags: — m759 @ 7:48 pm

Young-Adult Story

Filed under: General — Tags: — m759 @ 11:20 am

See also . . .

Shadowhunting: Life of Pi

Filed under: General — Tags: — m759 @ 10:30 am

Images from Log24 yesterday . . .

And from The New Yorker  yesterday . . .

Two-legged-stool New Yorker cartoon

See also RIP: The Peace of Pi

Thursday, July 18, 2019

Apperception

Filed under: General — Tags: , — m759 @ 8:00 pm

From BUtterfield 8 (1960) —

Elizabeth Taylor in 'BUtterfield 8' (1960)

From the 7/20/2017 post "Divided Attention" —

Another phrase for divided  attention is "bulk apperception."

Split

Filed under: General — Tags: — m759 @ 6:55 pm

"My words say split, but my words they lie" — Bruce Springsteen

See a search for "Split" in this journal.

Enveloping-Algebra Note, 1983

Filed under: General — Tags: — m759 @ 1:35 pm

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 —

Avatar for Inspector Tennison

Filed under: General — Tags: — m759 @ 7:35 am

The image “http://www.log24.com/log/pix06B/061113-Mirren.jpg” cannot be displayed, because it contains errors. 

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

E is for Energy.

Wednesday, July 17, 2019

The Artsy Quantum Realm

Filed under: General — Tags: , — m759 @ 6:38 pm
 

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] 
[v1] Tue, 14 May 2019 19:11:49 UTC (263 KB)

See also other posts tagged Tetrahedron vs. Square.

Life in Palermo

Filed under: General — Tags: , — m759 @ 9:55 am

See also other posts tagged Tetrahedron vs. Square, and a related
Log24 search for "Schoolgirl + Space."

Death in Rome

Filed under: General — Tags: — m759 @ 8:37 am

Tuesday, July 16, 2019

Schoolgirl Space for Quantum Mystics

Filed under: General — Tags: , , — m759 @ 2:16 pm

From a post on St. Andrew's Day, 2017

See also "E-Numbers" and "E-Girls."

Schoolgirl Space Continues.

Filed under: General — Tags: , — m759 @ 10:59 am

Hieroglyph for Surrealists

Filed under: General — Tags: — m759 @ 10:14 am

The previous post suggests a review of
an image from last Saturday night

What’s in a Name: Boeing/Being

Filed under: General — Tags: — m759 @ 9:45 am

See also Visual Structure (May 22, 2014)
and Snakes on a Plane posts.

Morf Vandewalt, Social Prism

Filed under: General — Tags: , , — m759 @ 8:38 am

From the 2019 film "Velvet Buzzsaw" —

What is going on in this picture?
 

Monday, July 15, 2019

Social Prism

Filed under: General — Tags: — m759 @ 4:19 pm

"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."

Arche’s Schoolgirl Space

Filed under: General — Tags: — m759 @ 2:30 pm

  

From Dan Brown's novel Angels & Demons  (2000)—

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Possibility and Necessity: Kierkegaard Meets Nietzsche

Filed under: General — Tags: — m759 @ 7:29 am

The previous post’s search for Turing + Dyson yielded a
quotation from Kierkegaard on possibility and necessity.
Further details —

See also . . .

Nietzsche, 'law in becoming' and 'play in necessity'

Nietzsche on Heraclitus— 'play in necessity' and 'law in becoming'— illustrated.

The Chosen One

Filed under: General — m759 @ 6:55 am

See also Turing + Dyson in this  journal.

Pilgrims’ Progress

Filed under: General — m759 @ 6:00 am

"History is now and England." — T. S. Eliot

Sunday, July 14, 2019

Old Pathways in Science:

Filed under: General — Tags: , — m759 @ 12:37 pm

The Quantum Tesseract Theorem Revisited

From page 274 — 

"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 —

Anticommuting Dirac matrices as spreads of projective lines

Compare and contrast Eddington's use of the word "perpendicular"
with a later use of the word by Saniga and Planat.

American Pie Continues.

Filed under: General — Tags: — m759 @ 9:34 am

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 —

"Zoolander 2" film script

— 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.

Saturday, July 13, 2019

Live from New York, It’s …

Filed under: General — Tags: , , , — m759 @ 11:30 pm

Curse of the Fire Temple

"Power outages hit parts of Manhattan
plunging subways, Broadway, into darkness"

New York Post  this evening

Which Roof?

Filed under: General — Tags: , , , — m759 @ 10:15 am

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

Friday, July 12, 2019

“Hello, old friend.” — Anthony Hopkins, Westworld S2 E6

Filed under: General — Tags: , — m759 @ 9:11 pm

See as well the previous post.

Ex Fano* Continues.

Filed under: General — Tags: , — m759 @ 7:00 pm

Professor Corbató reportedly died today.

* See Ex Fano  in this journal.

Holloway Today

Filed under: General — Tags: — m759 @ 8:23 am

"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 —

Instrumental

Filed under: General — Tags: — m759 @ 6:00 am

The title is from a New York Times  correction in the previous post.

Introduction

'The Eddington Song'

Main Body

Piano roll for "I am sixteen going on seventeen" —

Medal of 9/15/06

Backstory:  Posts tagged Root Circle.

Thursday, July 11, 2019

Small World Continues.

Filed under: General — Tags: — m759 @ 11:08 pm

The book Ex-Prodigy  quoted above is by Norbert Wiener.

The Fano Correction

Stiffed

Filed under: General — m759 @ 10:29 pm

From the two previous posts —


Earlier

Artifice of Eternity Revisited: Bitworld

Filed under: General — Tags: — m759 @ 11:07 am

June 14 . . .

Later . . .

Earlier . . .

http://cristal.inria.fr/~weis/info/commandline.html

See also Stiff.

Todayland

Filed under: General — m759 @ 5:27 am

The IBM Pavilion at the 1964 World's Fair

Wednesday, July 10, 2019

Plato, Republic, 7.527b

Filed under: General — m759 @ 7:11 pm

 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."

Artifice* of Eternity …

Filed under: General — Tags: , , , — m759 @ 10:54 am

… 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 . . .

RIP

Filed under: General — Tags: , — m759 @ 3:16 am

Wikipedia

"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

http://www.log24.com/log/pix11/110310-CrimsonSm.jpg

Found in translation — See "Ex Fano " in this  journal
and the Fano post "In Nomine Patris."

Tuesday, July 9, 2019

Schoolgirl Space: 1984 Revisited

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168

From "Tomorrowland" (2015) —

From John Baez (2018) —

See also this morning's post Perception of Space 
and yesterday's Exploring Schoolgirl Space.

Hallows for Perot

Filed under: General — m759 @ 11:29 am

"Bad news on the doorstep…." — American Pie

Perception of Space

Filed under: General — Tags: , , , — m759 @ 10:45 am

(Continued)

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 —

Dreamtimes

Filed under: General — Tags: , , — m759 @ 4:27 am

“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 . . .

.

Monday, July 8, 2019

Exploring Schoolgirl Space

See also "Quantum Tesseract Theorem" and "The Crosswicks Curse."

Sunday, July 7, 2019

Schoolgirl Problem

Filed under: General — Tags: , , , — m759 @ 11:18 pm

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.

Annie

Filed under: General — Tags: — m759 @ 10:25 pm

This journal last Wednesday —

Related material —

Hollywood Death Song

Filed under: General — Tags: — m759 @ 2:10 pm

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…."

Battlefield Geometry

Filed under: General — Tags: — m759 @ 1:40 pm

Mind game on the birthday of Évariste Galois:

Mine Games: Six Degrees

Filed under: General — Tags: — m759 @ 4:49 am

From yesterday's post Mythos and Logos

 .

On January 20, 2011 —

Also on January 20, 2011 —

Saturday, July 6, 2019

Mythos and Logos

Filed under: General — Tags: — m759 @ 8:56 am

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 —

Dark Tor

Filed under: General — m759 @ 2:00 am

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.

Friday, July 5, 2019

“Darkly Enchanting”

Filed under: General — Tags: , — m759 @ 11:05 pm

For the Church of Synchronology

The Motive for Metaphor

Filed under: General — Tags: , — m759 @ 12:00 pm

"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

http://www.log24.com/log/pix11/110107-Aleph-Sm.jpg

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.

Wallace Stevens, "The Motive for Metaphor"

Ex Nihilo

Filed under: General — Tags: — m759 @ 10:50 am

IMAGE- James McAvoy (left) and Michael Fassbender in 'X-Men: First Class'

The previous post suggests a line for James McAvoy —

"Pardon me boy, is this the Transylvania Station?"

Bolyai 'worlds out of nothing' quote

See as well "Out of Nothing" in this journal.

Fateful Lightning for Storytellers

Filed under: General — Tags: — m759 @ 2:27 am

Thursday, July 4, 2019

Quantum Lumps

Filed under: General — m759 @ 5:18 pm

"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.

From Devil’s Night 2014

Filed under: General — m759 @ 7:59 am

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 —

Call and Response

Filed under: General — m759 @ 2:15 am

Call

Response

Requiem for a Clown*

Filed under: General — m759 @ 12:59 am

Willkommen , or:  Tanks for the Memories

* See a New York Times  obituary.

Wednesday, July 3, 2019

Disorder/Order

Filed under: General — m759 @ 9:45 pm

Disorder Ordered: LeWitt's 'Straight Lines in Four Directions' Rearranged

See also a post of May 27, 2005, and the
2013 post Vector Addition in a Finite Field.

“From Here to Infinity”

Filed under: General — m759 @ 7:59 am

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

Search for the Lost Horizon

Filed under: General — m759 @ 1:20 am

Best Meets Bester

Filed under: General — m759 @ 1:00 am

See as well The Alchemist's Chessboard.

Tuesday, July 2, 2019

Molloy/Malloy: An Even Break

Filed under: General — m759 @ 3:59 pm

Molloy  Malloy :

https://genius.com/Dave-malloy-v-fugue-state-lyrics —

See also Ogdoad / Octet.

Duncan Quicksilver

Filed under: General — m759 @ 1:58 pm

Duncan reportedly died on June 29.  See Log24 on that date.

Waiting for Ogdoad

Filed under: General — Tags: — m759 @ 1:37 pm

See also Ogdoad and 2×4.

Depth Psychology Meets Inscape Geometry

Filed under: General — m759 @ 3:00 am

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:

Monday, July 1, 2019

Inside the Exploded Cube

Filed under: General — Tags: , — m759 @ 10:15 pm
 

Metaphysical conceit | literature | Britannica.com

https://www.britannica.com/art/metaphysical-conceit

The metaphysical conceit, associated with the Metaphysical poets of the 17th century, is a more intricate and intellectual device. It usually sets up an analogy between one entity's spiritual qualities and an object in the physical world and sometimes controls the whole structure of the poem.…

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 —

'Becoming Whole,' by Leslie Stein

      See also Jung's Imago Dei  in this journal.

Desperately Seeking Clarity

Filed under: General — Tags: , , — m759 @ 10:14 am

Continued)

"Let us consider the crux of Hopkins' sensibility…"

Marshall McLuhan, 1944

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 . . . ."

“The Ontological Secret”

Filed under: General — Tags: , — m759 @ 3:57 am

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

Sunday, June 30, 2019

Creepy Peepers

Filed under: General — Tags: — m759 @ 6:38 pm

In memory of Susan Bernard , who reportedly died on June 21, 2019* 

Image from the 2016 post A Paris Review . . .

* See as well this  journal on June 21,
  "Cube Tales for Solstice Day."

Euclid Peeping

Filed under: General — Tags: — m759 @ 6:15 am

Ex Fano* Continues

Filed under: General — Tags: — m759 @ 5:10 am

Yesterday's post The Benson Epiphany suggests a review of another
retired UC Davis mathematics professor who also died in May
John Robert Chuchel —

UC Davis mathematics students may consult the following page:

A check of this  journal on the date of Chuchel's reported death
yields posts now tagged Hallows for UC Davis.

* See Ex Fano Apollinis  (June 24).

Saturday, June 29, 2019

That’s “Merry” … And Quite Contrary

Filed under: General — Tags: , , — m759 @ 10:59 pm

"John Horton Conway is a cross between
Archimedes, Mick Jagger and Salvador Dalí." 

The Guardian  paraphrasing Siobhan Roberts, 
                    

John Horton Conway and his Leech lattice doodle
in The Guardian . Photo: Hollandse Hoogte/Eyevine.

. . . .

"In junior school, one of Conway’s teachers had nicknamed him 'Mary'.
He was a delicate, effeminate creature. Being Mary made his life
absolute hell until he moved on to secondary school, at Liverpool’s
Holt High School for Boys. Soon after term began, the headmaster
called each boy into his office and asked what he planned to do with
his life. John said he wanted to read mathematics at Cambridge.
Instead of 'Mary' he became known as 'The Prof'. These nicknames
confirmed Conway as a terribly introverted adolescent, painfully aware
of his own suffering."  — Siobhan Roberts, loc. cit.

From the previous post

See as well this  journal on the above Guardian  date —

 

The Benson Epiphany

Filed under: General — Tags: — m759 @ 9:14 am

Friday, June 28, 2019

A Velvet Buzzsaw*

Filed under: General — m759 @ 7:40 pm

Logo of the Santa Fe Institute

* See posts tagged The Malkovich Pictures.

Plato and the Illiterate Guardian

Filed under: General — m759 @ 8:09 am

"Leibniz … could also be called the first digerati."
The Guardian , May 10, 2013

"Digerati" is a term modeled after "literati"  —

Example —


See also this  journal on the above
Guardian  date 10 May 2013.

Thursday, June 27, 2019

Prayers and Thoughts, Hearts and Minds

Filed under: General — m759 @ 7:09 pm

See also Hard Candy.

Bloomsday Story

Filed under: General — m759 @ 4:51 pm

See as well Bloomsday in this  journal.

The Storm Enchantment

Filed under: General — m759 @ 7:04 am

"And Windy has stormy eyes"

Group Actions on the 4x4x4 Cube

Filed under: General — Tags: , — m759 @ 6:23 am

For affine  group actions, see Ex Fano Appollinis  (June 24)
and Solomon's Cube.

For one approach to Mathieu  group actions on a 24-cube subset
of the 4x4x4 cube, see . . .

For a different sort of Mathieu cube, see Aitchison.

Wednesday, June 26, 2019

Intellectual Obsession: The Frankfurt School

Filed under: General — m759 @ 11:22 pm

Coo-Coo-Ca-Choo*

Filed under: General — m759 @ 10:01 pm

"Goin' to the candidates' debate" — Paul Simon

* Gesundheit .

Loop

Filed under: General — Tags: — m759 @ 2:00 pm

Illustration from a post of June 21, 2010 —

http://www.log24.com/log/pix10A/100621-VisualizingDetail.gif

Welcome

Filed under: General — Tags: — m759 @ 12:44 pm

Make that Gorham .

Plan 9 from Stephen King

Filed under: General — Tags: — m759 @ 11:07 am

Midrash by T. S. Eliot —

See Apple Tree Children.

Tuesday, June 25, 2019

Art Installation

Filed under: General — m759 @ 11:00 pm

Vinnie Mancuso, in an article now dated December 25, 2018 —

Not so useless —

The caption in fine print below says
"Download Blender and install it.
I won't show you how to do that 
because I don't want to insult your
intelligence…."

Maeve’s Line

Filed under: General — Tags: — m759 @ 9:30 pm

Rhetorical Question, Rhetorical Answer

Filed under: General — Tags: — m759 @ 11:07 am

Q —

"What kind of person
bokehs an inscape?" 


A —

Robert Gorham Davis:

McLuhan's " 'mosaic' mode of presentation
rules out discriminations, qualifications,
close reasoning, the structuring of
articulated wholes."

Robert Gorham Davis on Marshall McLuhan.

See also Articulation  in this  journal.

Medium and Message

Filed under: General — Tags: — m759 @ 10:31 am

Analogy

Filed under: General — Tags: — m759 @ 6:36 am

Monday, June 24, 2019

Ex Fano Apollinis

Filed under: General — Tags: — m759 @ 11:57 pm

Da Capo*

Filed under: General — Tags: — m759 @ 11:44 am

The Small quotation is from a page describing his transcription
for string quartet of Bach's Goldberg Variations:

https://manontroppomusic.wordpress.com/goldberg-variations/.

* See too other Log24 occurrences of "da capo." 

Loop de Loop

Filed under: General — m759 @ 10:48 am

From a New Yorker  theatre review posted at 5 AM ET today —

“A Strange Loop” takes its title from a concept pioneered by
Douglas Hofstadter, the cognitive-science professor who
wrote the book “Gödel, Escher, Bach: An Eternal Golden Braid”
and, later, the more focussed study “I Am a Strange Loop”;
both were premised upon the impossibly complex, hopelessly
circular means by which each of us composes a self, an “I.”

See as well "Strange Loop" and "Loop de Loop" in this  journal.

A Tale

Filed under: General — Tags: — m759 @ 12:16 am

In memory of John Clarkeson, Harvard ’64, who “read broadly and inquisitively,
and was always on the lookout for a good tale….” Clarkeson reportedly died
on May 28, 2019.

Some Harvard-related material from that date:  The Hogwash Papers.

Sunday, June 23, 2019

Verbum Sat

Filed under: General — Tags: — m759 @ 12:07 pm

Vinnie Mancuso, in an article now dated December 25, 2018 —

Related art —

Escher, 'Verbum,' detail

Click image for further details.

Discovery

Filed under: General — m759 @ 10:25 am

See also Boorstin in this journal.

In Hoc Signo

Filed under: General — m759 @ 9:57 am

For Zankel Hall

Filed under: General — Tags: — m759 @ 1:23 am

See also other posts now tagged For Zankel Hall.
(Note the phrase "geometric complexities" in those posts.)

Saturday, June 22, 2019

Variations

Filed under: General — Tags: — m759 @ 4:22 am

Friday, June 21, 2019

Cube Tales for Solstice Day

Filed under: General — Tags: , , — m759 @ 3:45 pm

See also "Six-Set" in this journal
and "Cube Geometry Continues."

 
[addtoany]
 

Cubehenge

Filed under: General — Tags: — m759 @ 1:15 am

Thursday, June 20, 2019

The Lively Hallows

Filed under: General — Tags: , — m759 @ 7:11 pm

Structure of the eightfold cube

Wednesday, June 19, 2019

Slouching

Filed under: General — m759 @ 6:50 pm

The phrase "various other activities" in the previous post, and a poem
by Yeats, suggest an image that appeared here in miniature on June 7:

See as well some related artistic images from January 4, 2007.

June 10 Death

Filed under: General — m759 @ 6:35 pm

See also posts now tagged The Loosening Center (June 8 – June 11).

 

Diagram

Filed under: General — Tags: — m759 @ 11:36 am

This post was suggested by the July 2006 posts now tagged Crazy Diamond.

The Panhandle Project

Filed under: General — m759 @ 12:00 am

"When they all finally reach their destination —
a deserted field in the Florida Panhandle…." 

" When asked about the film's similarities to the 2015 Disney movie 
Tomorrowland , which also posits a futuristic world that exists in an
alternative dimension
, Nichols sighed. 'I was a little bummed, I guess,'
he said of when he first learned about the project. . . . 'Our die was cast.
Sometimes this kind of collective unconscious that we're all dabbling in,
sometimes you're not the first one out of the gate.' "

Tuesday, June 18, 2019

The 7/11 Manifesto

Filed under: General — Tags: — m759 @ 10:07 pm

See 7/11, 2006.

Related material — Dabblers in the Collective Unconscious.

The Crooning

Filed under: General — Tags: — m759 @ 12:55 pm

For fans of the story theory of truth  

 A "tale as old as time . . ."
 — Song lyric,  Beauty and the Beast

Nicholas Hoult as X-Men "Beast" Hank McCoy

See also the previous post, "Equals Tolkien?"

Related material The real  McCoy

Equals Tolkien?

Filed under: General — Tags: — m759 @ 12:34 pm

Paris Review

Filed under: General — Tags: — m759 @ 3:33 am

"The loveliness of Paris seems somehow sadly gay." — Song lyric

Stewart also starred in "Equals" (2016). From a synopsis —

"Stewart plays Nia, a writer who works at a company that extols
the virtues of space exploration in a post-apocalyptic society.
She falls in love with the film's main character, Silas (Nicholas Hoult),
an illustrator . . . ."

Space art in The Paris Review

For a different sort of space exploration, see Eightfold 1984.

June Moon Croon

Filed under: General — Tags: — m759 @ 12:02 am

Monday, June 17, 2019

The Callahan Turtle

Filed under: General — Tags: , — m759 @ 10:54 pm

By Stephen King

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

Salvation by Grace

Filed under: General — Tags: , — m759 @ 3:18 pm

High Society

Filed under: General — Tags: , — m759 @ 1:16 pm

From the date in the above Google search result —

 See as well Jeremy Gray in this  journal.

Sunday, June 16, 2019

Master Plan from Outer Space

Filed under: General — Tags: , — m759 @ 12:00 pm

IMAGE- The large Desargues configuration and Desargues's theorem in light of Galois geometry

Eliot’s Perpetual Motion Structure*

Filed under: General — Tags: , , , , — m759 @ 11:00 am

From a date described by Peter Woit in his post
Not So Spooky Action at a Distance” (June 11) —

See also The Lost Well.

 * “As a Chinese jar….” — Four Quartets

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