Wednesday, July 31, 2019

The Epstein Chronicles, or:  Z is for Zorro

Filed under: General — Tags: , , , — m759 @ 8:54 PM

Zorro Ranch

The geometry of the 15 point-pairs in the previous post suggests a review:

From "Exploring Schoolgirl Space," July 8 —

The date  in the previous post — Oct. 9, 2018 — also suggests a review
of posts from that date now tagged Gen-Z:

Icelandic Fantasy

Filed under: General — Tags: — m759 @ 2:08 PM

"In the fantasy, Owen is still working on his Rubik’s Cube.
Finally, he finishes — he’s put together all 6 sides."

— "Maniac" Season 1, Episode 9 recap: ‘Utangatta’
      by Cynthia Vinney at showsnob.com, Oct. 9, 2018

Related material —

See also Exploded in this journal.

Broadway* News

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

* … and off-Broadway —

Prince reportedly died today in Reykjavik.

“A Certain Character of Permanence” — G. H. Hardy

Filed under: General — m759 @ 1:00 AM

See the above title in this journal.  See also . . .


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

A post in memory of a sculptor who reportedly died on 7/11 —

Monday, July 29, 2019


Filed under: General — m759 @ 1:44 PM

From an earlier post, "Lost in Quantum Space

Encountered today 

Sunday, July 28, 2019


Filed under: General — m759 @ 11:18 AM

From a news article featured on the American Mathematical Society
home page today

A joint Vietnam-USA mathematical meeting in Vietnam on
June 10-13, 2019:

This  journal on June 12, 2019:

Wednesday, June 12, 2019

The Osterman Haiku

Filed under: General — m759 @ 11:32 PM Edit This

Click on the book cover below for posts tagged "Haiku."

'Point Omega' by DeLillo

See also the Twentieth of May, 2008 —

Welcome to the Garden Club, Pilgrim.

New! Improved! Tinfoil Hat

Filed under: General — m759 @ 10:44 AM

From a post of Dec., 20, 2014

Signs Movie Stills: Mel Gibson, Joaquin Phoenix, Patricia Kalember, M. Night Shyamalan

From "X-Men: First Class" —

Saturday, July 27, 2019

Make America Strange Again

Filed under: General — Tags: — m759 @ 10:59 PM

Suggested by the previous post, "The Swarm" —

“‘Oracle, why did you write
The Grasshopper Lies Heavy?
What are we supposed to learn?'”

— Philip K. Dick

“She began throwing the coins.“

I Ching Hexagram 61: Inner Truth

The Swarm

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

“Design Is How It Works.” — Steve Jobs

Filed under: General — Tags: — m759 @ 9:59 PM

The Stephen King Intelligence Test

Filed under: General — Tags: , — m759 @ 4:41 PM

Related images —

See also other posts tagged Arti Facts.

This  post was suggested by those posts and by the following
attempt at humor —

“Am I Still On?”

Filed under: General — m759 @ 1:05 PM

See also the above quote in this  journal.


Filed under: General — Tags: — m759 @ 12:19 PM


. . . the ancient Chinese made music the pinnacle of wisdom.

There was a Classic of Music (Yuè jīng 樂經), but it was lost already by the Han Dynasty (206 BC-220 AD).  Yet we know the esteem in which music was held by the ancient Chinese from passages in the classics like the following:

The Master heard the Shao in Qi and for three months did not notice the taste of the meat he ate. He said, 'I never dreamt the joys of music could reach such heights.'(D.C. Lau)

Analects  7.14

Shao is the music of the mythical emperor, Shun 舜.

Qi one of the Warring States.

Extensive commentary here.

Another instance of the sublimity of music in ancient China is the description of the performance of the Yellow Emperor's "The Pond of Totality" in chapter 14 of the Zhuang Zi  (see Victor H. Mair, tr., Wandering on the Way  [Bantam, 1994; University of Hawaii Press, 1998], pp. 132-136, available here).

Conversely, language studies in traditional China were referred to as "minor learning" (xiǎoxué 小學).

November 5, 2015 @ 4:05 pm · Filed by Victor Mair under Language and musicLanguage and philosophy

See also Ervin Wilson in Wikipedia, and a Log24 post from
the date of his death — December 8, 2016.

Friday, July 26, 2019

Well, She Was Just Seventeen…

Filed under: General — Tags: — m759 @ 7:46 AM

See also Just Intonation.

Thursday, July 25, 2019

The Sharp: ♯ as 25/24

Filed under: General — m759 @ 7:43 PM

Image related to 'just seventeen' posts

“For the Renaissance musician, a sharp multiplied a musical frequency
by the fraction 25/24 – and so does it in Ben’s music.”

— “Regarding Ben: A Keynote Address for the Microtonal Conference
[2010] at Wright State University
,” by Kyle Gann

See too my own note from 2001:  Harmony, Schoenberg, and The Last Samurai .

The Morgenthau Correction

Filed under: General — m759 @ 3:04 PM

For Harlan Kane . . .

The Usual Suspect —


Filed under: General — m759 @ 2:08 PM

From "110 in the Shade" —

   A quote from "Marshall, Meet Bagger," July 29, 2011:

"Time for you to see the field."


  From a Log24 search for "To See the Field" —


For further details, see the 1985 note
"Generating the Octad Generator."

Blade Runner: The Dark Knight Returns

Filed under: General — m759 @ 1:10 PM

See "The Batty Farewell" (yesterday's eulogy for Rutger Hauer) and . . .

Wizard of Id July 23, 2009 - Caddy joke

Click the above fake seal for a related story.

The Folkenflik Obit

Filed under: General — m759 @ 6:00 AM

For Harlan Kane . . .


A related word in this journal:  Irvine.

Wednesday, July 24, 2019

The Batty Farewell

Filed under: General — Tags: — m759 @ 8:40 PM

Adam Rogers today on "Rutger Hauer in Blade Runner , playing
the artificial* person Roy Batty in his death scene." 

* See the word "Artifice" in this  journal,
   as well as Tears in Rain . . .

Game Over

The film "The Matrix," illustrated
Coordinates for generating the Miracle Octad Generator

and Adam Rogers in
    the previous post.



Filed under: General — m759 @ 7:50 PM

"Games provide frameworks that miniaturize
and represent idealized realities; so do narratives."

— Adam Rogers, Sunday, July 21, 2019, at Wired

Reviewing yesterday's post Word Magic

See also a technological framework (the microwave at left) vs. a
purely mathematical framework (the pattern on the towel at right)
in the image below:

170703-The_Forger-Christopher_Plummer-2015-500w.jpg (500×336)

For some backstory about the purely mathematical framework, 
see Octad Generator in this journal.

Tuesday, July 23, 2019

Confidence Game

Filed under: General — m759 @ 3:41 PM


"San Diego Comic-Con 2019 [July 18-21] will witness my plunge
into cosplay. Here's how I tackled my Chilling Adventures of Sabrina

BY ERIN CARSON    JULY 18, 2019 8:20 PM PDT

"Sabrina, now played by Kiernan Shipka, still speaks to me.
Modern-day Sabrina isn't just trying to make it to the dance
on time, she's questioning the unquestioned gender roles of
her belief system, raising the dead and taking on the Devil himself. 

May every teenage girl have that kind of confidence."

Or not. See this  journal on July 18 and a related passage . . .

Word Magic

Filed under: General — m759 @ 1:52 PM

"Business-wise, Magic is working—Bloomberg reported 
that the game brought in $500 million in revenue last year.
Hasbro owns Monopoly and Scrabble, but Magic  is its top
game brand. . . . 

The idea of using a card mechanic to generate story has
precedent—the Italian postmodern writer Italo Calvino
generated an entire novel based on drawing from a
tarot card deck. Games provide frameworks that miniaturize
and represent idealized realities; so do narratives."

— Adam Rogers, Sunday, July 21, 2019, at Wired

"The Esper party began . . ." —

Life of the Party

    From Stephen King's Dreamcatcher :

The 'Dreamcatcher' warning

    From Alfred Bester's The Demolished Man :

Alfred Bester— 'The Esper party began.'

    From Anne McCaffrey's To Ride Pegasus :

"… it's going to be accomplished in steps, this
establishment of the Talented in the scheme of things."

Adam Rogers at Wired  as quoted above —

"The idea of using a card mechanic to generate story
has precedent. . . ."

See The Greater Trumps .

Gate of Heavenly Peace

Filed under: General — Tags: — m759 @ 11:29 AM

Wikipedia — 

"The Tian'anmen (also Tiananmen or Tienanmen)
([tʰjɛ́n.án.mə̌n]), or the Gate of Heavenly Peace, is
a monumental gate in the centre of Beijing, widely
used as a national symbol of China. First built during
the Ming dynasty in 1420, Tiananmen was the entrance
to the Imperial City . . . ."

A related article on Chinese history, The Critical Moment,
suggests an associated (if only by title) webpage —

See as well The Painted Word .

Laughing Friends Deride

Filed under: General — m759 @ 10:57 AM

Mad Max and the Nation-States

Filed under: General — m759 @ 10:10 AM

“All right, Jessshica. It’s time to open the boxsssschhh.”

“Gahh,” she said. She began to walk toward the box, but her heart failed her and she retreated back to the chair. “Fuck. Fuck.” Something mechanical purred. The seam she had found cracked open and the top of the box began to rise. She squeezed shut her eyes and groped her way into a corner, curling up against the concrete and plugging her ears with her fingers. That song she’d heard the busker playing on the train platform with Eliot, “Lucy in the Sky with Diamonds”; she used to sing that. Back in San Francisco, before she learned card tricks. It was how she’d met Benny: He played guitar. Lucy was the best earner, Benny said, so that was mainly what she sang. She must have sung it five times an hour, day after day. At first she liked it but then it was like an infection, and there was nothing she could do and nowhere she could go without it running across her brain or humming on her lips, and God knew she tried; she was smashing herself with sex and drugs but the song began to find its way even there. One day, Benny played the opening chord and she just couldn’t do it. She could not sing that fucking song. Not again. She broke down, because she was only fifteen, and Benny took her behind the mall and told her it would be okay. But she had to sing. It was the biggest earner. She kind of lost it and then so did Benny and that was the first time he hit her. She ran away for a while. But she came back to him, because she had nothing else, and it seemed okay. It seemed like they had a truce: She would not complain about her bruised face and he would not ask her to sing “Lucy.” She had been all right with this. She had thought that was a pretty good deal.

Now there was something coming out of a box, and she reached for the most virulent meme she knew. “Lucy in the sky!” she sang. “With diamonds!”

•   •   •

Barry, Max. Lexicon: A Novel  (pp. 247-248).
Penguin Publishing Group. Kindle Edition.

Space and the English Language

Filed under: General — m759 @ 12:00 AM

Rebecca Goldstein and a Cullinane quaternion

Monday, July 22, 2019

Geometry and the Republic:

Filed under: General — m759 @ 10:03 PM

Corners and Boundaries

From the Church of Synchronology*

Filed under: General — m759 @ 2:14 PM

From this journal on September 16, 2013

"La modernité, c’est le transitoire, le fugitif, le contingent, la moitié de l’art, dont l’autre moitié est l’éternel et l’immuable."

— Baudelaire, "Le Peintre de la Vie Moderne," IV (1863)

"By 'modernity' I mean the ephemeral, the fugitive, the contingent, the half of art whose other half is the eternal and the immutable."

— Baudelaire, "The Painter of Modern Life," IV (1863), translated by Jonathan Mayne (in 1964 Phaidon Press book of same title)

Also on September 16, 2013 —

* See that term in this journal.


The Four Diamonds Meet the Five Red Herrings

Filed under: General — Tags: — m759 @ 11:34 AM

Lord Peter Wimsey (Balliol 1912) on the Balliol-Trinity rivalry at Oxford:

See also Balliol College in the post subtitled Spidey Goes to Church.

Signed, Sealed, Delivered

Filed under: General — Tags: — m759 @ 5:58 AM

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 . . .

See also RIP: The Peace of Pi

Thursday, July 18, 2019


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."


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


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 — 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 — 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 — Tags: , , , , — 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

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 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


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



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 —

'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


"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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