Tuesday, July 16, 2019

Schoolgirl Space for Quantum Mystics

Filed under: General — 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 — m759 @ 10:59 AM

Hieroglyph for Surrealists

Filed under: General — 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 — m759 @ 9:45 AM

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

Morf Vandewalt, Social Prism

Filed under: General — 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 — 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 — 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 — 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 — 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 —


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

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


'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


Filed under: General — m759 @ 10:29 PM

From the two previous posts —


Artifice of Eternity Revisited: Bitworld

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

June 14 . . .

Later . . .

Earlier . . .


See also Stiff.


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 . . .


Filed under: General — Tags: — m759 @ 3:16 AM


"Elmore Rual 'Rip' Torn Jr. (February 6, 1931 – July 9, 2019)
 was an American actor, voice artist Torn was born in
Temple, Texas,
on February 6, 1931, the son of Elmore Rual "Tiger" Torn Sr. and
Thelma Mary Torn (née Spacek)."

For the Church of Synchronology

The above photo was reportedly taken on March 10, 2011.

An image from this journal on that date


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

Tuesday, July 9, 2019

Schoolgirl Space: 1984 Revisited

Filed under: General — m759 @ 9:24 PM

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


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 —


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

Filed under: General — Tags: , , — m759 @ 9:48 AM

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.


Filed under: General — m759 @ 10:25 PM

This journal last Wednesday —

Related material —

Hollywood Death Song

Filed under: General — 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 — m759 @ 1:40 PM

Mind game on the birthday of Évariste Galois:

Mine Games: Six Degrees

Filed under: General — 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 — m759 @ 8:56 AM



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 Toward a Dark Tower (Aug. 2, 2016) and Maine to Mexico.

Friday, July 5, 2019

“Darkly Enchanting”

Filed under: General — m759 @ 11:05 PM

For the Church of Synchronology

The Motive for Metaphor

Filed under: General — 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


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 — 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 — 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



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


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 — 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 — m759 @ 10:15 PM

Metaphysical conceit | literature | Britannica.com


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 —

      See also Jung's Imago Dei  in this journal.

Desperately Seeking Clarity

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


"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

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