Log24

Tuesday, February 20, 2018

Colloquy

Filed under: Uncategorized — m759 @ 7:07 AM

Instagram, August 4, 2017 —

See posts on Suppes and Child Buyers.

Bottom line — See also a post from August 4, 2017.

The System

Filed under: Uncategorized — m759 @ 6:00 AM

"It's the system  that matters. 
How the data arrange themselves inside it."

— Gravity's Rainbow  

"Examples are the stained-glass windows of knowledge."

— Vladimir Nabokov   

Map Systems (decomposition of functions over a finite field)

A Sharper Image

Filed under: Uncategorized — m759 @ 5:15 AM

Diamond-shaped face of Durer's 'Melencolia I' solid, with  four colored pencils from Diane Robertson Design

Click for some related posts.

Sunday, February 18, 2018

Dating

Filed under: Uncategorized — m759 @ 2:56 PM

"Butt rock is sincere as hell, the place where irony came to die."

— Deborah Kennedy of Portland, Oregon, in an essay,
"How Butt Rock Helped Me Find Love," dated July 25, 2014.

See also July 25, 2014, in Log24 posts tagged April Awareness 2014.

Side ad with an SFGate story this morning — 

Gap

Filed under: Uncategorized — m759 @ 8:48 AM

Heuristic Evaluation: A Major Tool

Filed under: Uncategorized — m759 @ 7:07 AM

"Heuristic evaluation is a well established method for quickly evaluating
the efficacy of new media solutions to interface issues."

Neil Gordon et al. , University of Hull

Click or touch to enlarge.

Related material:

Saturday, February 17, 2018

The Binary Revolution

Filed under: Uncategorized — m759 @ 5:00 PM

Michael Atiyah on the late Ron Shaw

Phrases by Atiyah related to the importance in mathematics
of the two-element Galois field GF(2) —

  • "The digital revolution based on the 2 symbols (0,1)"
  • "The algebra of George Boole"
  • "Binary codes"
  • "Dirac's spinors, with their up/down dichotomy"

These phrases are from the year-end review of Trinity College,
Cambridge, Trinity Annual Record 2017 .

I prefer other, purely geometric, reasons for the importance of GF(2) —

  • The 2×2 square
  • The 2x2x2 cube
  • The 4×4 square
  • The 4x4x4 cube

See Finite Geometry of the Square and Cube.

See also today's earlier post God's Dice and Atiyah on the theology of 
(Boolean) algebra vs. (Galois) geometry:

Frosties: A Sequel to “Frozen”

Filed under: Uncategorized — m759 @ 11:48 AM

See as well a search in this  journal for Frost at Wanganui.

God’s Dice

Filed under: Uncategorized — m759 @ 10:45 AM

On a Trinity classmate of Ian Macdonald (see previous post)—

Atiyah's eulogy of Shaw in Trinity Annual Record 2017 
is on pages 137 through 146.  The conclusion —

 

Friday, February 16, 2018

Two Kinds of Symmetry

Filed under: Uncategorized — m759 @ 11:29 PM

The Institute for Advanced Study (IAS) at Princeton in its Fall 2015 Letter 
revived "Beautiful Mathematics" as a title:

This ugly phrase was earlier used by Truman State University
professor Martin Erickson as a book title. See below. 

In the same IAS Fall 2015 Letter appear the following remarks
by Freeman Dyson —

". . . a special case of a much deeper connection that Ian Macdonald 
discovered between two kinds of symmetry which we call modular and affine.
The two kinds of symmetry were originally found in separate parts of science,
modular in pure mathematics and affine in physics. Modular symmetry is
displayed for everyone to see in the drawings of flying angels and devils
by the artist Maurits Escher. Escher understood the mathematics and got the
details right. Affine symmetry is displayed in the peculiar groupings of particles
created by physicists with high-energy accelerators. The mathematician
Robert Langlands was the first to conjecture a connection between these and
other kinds of symmetry. . . ." (Wikipedia link added.)

The adjective "modular"  might aptly be applied to . . .

The adjective "affine"  might aptly be applied to . . .

From 'Beautiful Mathematics,' by Martin Erickson, an excerpt on the Cullinane diamond theorem (with source not mentioned)

The geometry of the 4×4 square combines modular symmetry
(i.e., related to theta functions) with the affine symmetry above.

Hudson's 1905 discussion of modular symmetry (that of Rosenhain
tetrads and Göpel tetrads) in the 4×4 square used a parametrization
of that square by the digit 0 and the fifteen 2-subsets of a 6-set, but 
did not discuss the 4×4 square as an affine space.

For the connection of the 15 Kummer modular 2-subsets with the 16-
element affine space over the two-element Galois field GF(2), see my note
of May 26, 1986, "The 2-subsets of a 6-set are the points of a PG(3,2)" —

— and the affine structure in the 1979 AMS abstract
"Symmetry invariance in a diamond ring" —

For some historical background on the symmetry investigations by
Dyson and Macdonald, see Dyson's 1972 article "MIssed Opportunities."

For Macdonald's own  use of the words "modular" and "affine," see
Macdonald, I. G., "Affine Lie algebras and modular forms," 
Séminaire N. Bourbaki , Vol. 23 (1980-1981), Talk no. 577, pp. 258-276.

Nicht Spielerei

Filed under: Uncategorized — m759 @ 2:19 PM

"What of the night
That lights and dims the stars?
Do you know, Hans Christian,
Now that you see the night?"

— The concluding lines of
"Sonatina to Hans Christian,"
by Wallace Stevens
(in Harmonium  (second edition, 1931))

". . . in the end the space itself is the star. . . ."

Related material — The death Tuesday night
of Prince Consort Henrik of Denmark, and the
New Year's Eve speech on Dec. 31, 2015, of
Queen Margrethe II of Denmark.

Distantly  related material — Yesterday morning's
post The Search for Child's Play.

Thursday, February 15, 2018

The Search for Child’s Play

Filed under: Uncategorized — m759 @ 8:00 AM

Yesterday morning's post "Child's  Play" suggests . . .

"Jinx! Jinx again!"

— "Love is an Open Door," from Disney's "Frozen"

Wednesday, February 14, 2018

Child’s Play

Filed under: Uncategorized — m759 @ 11:19 AM

From a search for Child's Play in this journal —

See also the previous post.

"In pascuis herbarum adclinavit me."

Tuesday, February 13, 2018

Babble On

Filed under: Uncategorized — m759 @ 9:00 PM

Symbology for Tom Hanks and for a Latin teacher
who reportedly died on Saturday, Feb. 10, 2018 —

Click the image below to search Log24 for "green fields."

See also Space Cross.

Attention Must Be Paid

Filed under: Uncategorized — m759 @ 7:06 PM

For the late Anne M. Treisman, who reportedly died Friday, Feb. 9:

From "A Feature-Integration Theory of Attention" —

"The controversy between analytic and synthetic theories
of perception goes back many years: the Associationists
asserted that the experience of complex wholes is built
by combining more elementary sensations, while the
Gestalt psychologists claimed that the whole precedes
its parts, that we initially register unitary objects and
relationships, and only later, if necessary, analyze these
objects into their component parts or properties. This view 
is still active now . . . ."

— Anne M. Treisman, University of British Columbia,
and Garry Gelade, Oxford University, in
Cognitive Psychology  12, 97-136 (1980)

"Before time began, there was the Cube." — Optimus Prime

A Titan of the Field

Filed under: Uncategorized — Tags: — m759 @ 9:45 AM
 

On the late Cambridge astronomer Donald Lynden-Bell —

"As an academic at a time when students listened and lecturers lectured, he had the disconcerting habit of instead picking on a random undergraduate and testing them on the topic. One former student, now a professor, remembered how he would 'ask on-the-spot questions while announcing that his daughter would solve these problems at the breakfast table'.

He got away with it because he was genuinely interested in the work of his colleagues and students, and came to be viewed with great affection by them. He also got away with it because he was well established as a titan of the field."

The London Times  on Feb. 8, 2018, at 5 PM (British time)

Related material —

Two Log24 posts from yesteday, Art Wars and The Void.

See as well the field GF(9)

http://www.log24.com/log/pix12/120220-CoxeterFig10.jpg

and the 3×3 grid as a symbol of Apollo
    (an Olympian rather than a Titan) —

 .

Monday, February 12, 2018

The Void

Filed under: Uncategorized — Tags: — m759 @ 11:46 AM

In memory of Professor Donald Lynden-Bell,
Emeritus Professor of Astrophysics at the University of Cambridge

Lynden-Bell with colleagues at Meteor Crater, Arizona, reportedly in 1960 —

Lynden-Bell was one of the subjects of the 2015 film "Star Men."

Related material —

"After peering into the void from a perch 
outside the visitor center, young Henry, 9, 
said he liked the rugged landscape. 
'It’s a good place to film a space movie,' he said.

Funny he should mention that — 
the crater was the setting for the climactic scenes 
of the 1984 sci-fi film 'Starman,' with Jeff Bridges 
and Karen Allen arriving for a rendezvous with 
an alien mother ship."

— Henry Fountain in The New York Times , Jan. 22, 2009

Lynden-Bell reportedly died at 82 on Feb. 5, 2018 (British time).

See as well this  journal on that date.

Art Wars

Filed under: Uncategorized — Tags: — m759 @ 8:55 AM

'In the end the space itself is the star'— Gia Kourlas

See also Krauss Cross.

Sunday, February 11, 2018

Visions of Hell

Filed under: Uncategorized — m759 @ 9:45 PM

In memory of  a Manhattan art figure
who reportedly died on
Wednesday, February Seventh, 2018 —

ABOUT 'ASCENSION VARIATIONS'

Ascension Variations is a magical adventure
woven from grand and pedestrian touches, and
in the end the space itself is the star
or Ms. Monk's transformation of it.
For an hour, we've lived in a spiral,
where up is down and down is up.
It's a sacred place.”

— Gia Kourlas, The New York Times , March 6, 2009

See also the previous post — yesterday's Into the Upside Down
and two posts of February Seventh:

Conceptual Art  and  Conceptual Minimalism.

For some related artistic remarks, see this  journal on March 6-7, 2009.

Saturday, February 10, 2018

Into the Upside Down

Filed under: Uncategorized — m759 @ 10:45 AM

(Title suggested by the TV series Stranger Things )

" 'Untitled' (2016) is the most recent painting in the show
and includes one of Mr. Johns’s recurring images of a ruler."

— Image caption in an article by Deborah Solomon
     in The New York Times  online, Feb. 7, 2018
 

From a Log24 search for "Ruler"

Related art —

See also, in this journal, Magic Mountain and Davos.

Einstein and Thomas Mann, Princeton, 1938

Wednesday, February 7, 2018

Village Voices

Filed under: Uncategorized — m759 @ 12:01 PM

It Takes a Village 

Cutting-Edge Research

See as well The Prisoner of the Village

IMAGE- Patrick McGoohan as 'The Prisoner,' with lapel button that says '6.'

Conceptual Minimalism

Filed under: Uncategorized — m759 @ 10:08 AM

 

"At the point of convergence
the play of similarities and differences
cancels itself out in order that 
identity alone may shine forth
The illusion of motionlessness,
the play of mirrors of the one: 
identity is completely empty;
it is a crystallization and
in its transparent core
the movement of analogy 
begins all over once again."

— The Monkey Grammarian 

by Octavio Paz, translated by Helen Lane 

See also AS IS.

Conceptual Art

Filed under: Uncategorized — m759 @ 9:17 AM

Related conceptual  art —

Tom Wolfe in The Painted Word :

Click the automat image above to enlarge.

See as well a new retrospective at Facebook.

Tuesday, February 6, 2018

For Times Square Church*

Filed under: Uncategorized — m759 @ 1:01 AM

http://www.log24.com/log/pix10A/100506-Hcube_fold.gif

Image--Chess game from 'The 
Seventh Seal'

The metaphor for metamorphosis no keys unlock.
— Steven H. Cullinane, "Endgame"

* See Times Square Church in this journal and
   the posts of July 2010.  Related material:

   A Monday night death —

Monday, February 5, 2018

Stranger Things than Pulp Fiction

Filed under: Uncategorized — m759 @ 12:30 PM

Diamond Theory cover, said to resemble Proginoskes in 'A Wind in the Door'

Click on the image for a
relevant Wallace Stevens poem.

A new Facebook page will describe
some background for the above image.

Sunday, February 4, 2018

Picture at Eleven

Filed under: Uncategorized — m759 @ 11:00 AM

Logos for Sunday, February 4

Filed under: Uncategorized — m759 @ 10:00 AM

"The walls in the back of the room show geometric shapes
that remind us of the logos on a space shuttle. "

Web page on an Oslo art installation by Josefine Lyche.

See also Subway Art posts.

The translation above was obtained via Google.

The Norwegian original —

"På veggene bakerst i rommer vises geometriske former
som kan minne om logoene på en romferge."

Related logos — Modal Diamond Box in this journal:

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

Logos for Philosophers
(Suggested by Modal Logic) —

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

Friday, February 2, 2018

For Plato’s Cave

Filed under: Uncategorized — Tags: , — m759 @ 12:06 PM

"Plato's allegory of the cave describes prisoners,
inhabiting the cave since childhood, immobile,
facing an interior wall. A large fire burns behind
the prisoners, and as people pass this fire their
shadows are cast upon the cave's wall, and
these shadows of the activity being played out
behind the prisoner become the only version of
reality that the prisoner knows."

— From the Occupy Space gallery in Ireland

IMAGE- Patrick McGoohan as 'The Prisoner,' with lapel button that says '6.'

Friday, January 26, 2018

Shadows and Reflections

Filed under: Uncategorized — Tags: — m759 @ 9:27 AM

From the post "For Guy Noir" of Wednesday morning, January 24 —

"as privileged viewers of the shadows and reflections"

Related material —

The death on January 24 of a famed ski film maker,
and the Sun Valley icon below (one of a pair of ski
location icons by Wink, a Minneapolis design firm).

Thursday, January 25, 2018

Our Class

Filed under: Uncategorized — Tags: — m759 @ 11:01 PM

See earlier posts now also tagged O.C.D. .

Related material —

Acme Book Shop  and The Philosophy Section .

Beware of Analogical Extension

Filed under: Uncategorized — m759 @ 11:29 AM

"By an archetype  I mean a systematic repertoire
of ideas by means of which a given thinker describes,
by analogical extension , some domain to which
those ideas do not immediately and literally apply."

— Max Black in Models and Metaphors 
    (Cornell, 1962, p. 241)

"Others … spoke of 'ultimate frames of reference' …."
Ibid.

A "frame of reference" for the concept  four quartets

A less reputable analogical extension  of the same
frame of reference

Madeleine L'Engle in A Swiftly Tilting Planet :

"… deep in concentration, bent over the model
they were building of a tesseract:
the square squared, and squared again…."

See also the phrase Galois tesseract .

Wednesday, January 24, 2018

The Pentagram Papers

Filed under: Uncategorized — m759 @ 12:40 PM

(Continued)

From a Log24 post of March 4, 2008 —

SINGER, ISAAC:
"Are Children the Ultimate Literary Critics?"
— Top of the News 29 (Nov. 1972): 32-36.

"Sets forth his own aims in writing for children and laments
'slice of life' and chaos in children's literature. Maintains that
children like good plots, logic, and clarity, and that they
have a concern for 'so-called eternal questions.'"

— An Annotated Listing of Criticism
by Linnea Hendrickson

"She returned the smile, then looked across the room to
her youngest brother, Charles Wallace, and to their father,
who were deep in concentration, bent over the model
they were building of a tesseract: the square squared,
and squared again: a construction of the dimension of time."

— A Swiftly Tilting Planet,
by Madeleine L'Engle

Cover of 'A Swiftly Tilting Planet' and picture of tesseract

For "the dimension of time," see A Fold in TimeTime Fold,
and Diamond Theory in 1937

A Swiftly Tilting Planet  is a fantasy for children 
set partly in Vespugia, a fictional country bordered by
Chile and Argentina.

Ibid.

The pen's point:

Wm. F. Buckley as Archimedes, moving the world with a giant pen as lever. The pen's point is applied to southern South America.
John Trever, Albuquerque Journal, 2/29/08

Note the figure on the cover of National Review  above —

A related figure from Pentagram Design

See, more generally,  Isaac Singer  in this  journal.

Stages

Filed under: Uncategorized — Tags: — m759 @ 4:37 AM

The five stages of grief meet
the four stages of design:

For Guy Noir

Filed under: Uncategorized — Tags: — m759 @ 4:00 AM

From a search for Limerick in this journal —

"C A V E S  is an exhibition of three large scale works,
each designed to immerse the viewer, and then to
confront the audience with a question regarding how far
they, as privileged viewers of the shadows and reflections
being played out upon the walls, are willing to allow
themselves to believe what they know to be a false reality."

Occupy Space art exhibitions, Limerick, Ireland

Tuesday, January 23, 2018

Le Guin

Filed under: Uncategorized — m759 @ 5:55 PM

Reportedly.

Chilean poet Nicanor Parra

Nieve

Filed under: Uncategorized — m759 @ 4:18 PM

"I need a photo opportunity . . . ." — Paul Simon

Spielfeld

Filed under: Uncategorized — Tags: — m759 @ 1:27 PM

For the original Davos icon by Wink-Minneapolis,
see the previous post.  

For related geometry, see posts tagged Barth Art.

Graphic Design

Filed under: Uncategorized — m759 @ 12:00 PM

By Wink-Minneapolis

Monday, January 22, 2018

Hollywood Moment

Filed under: Uncategorized — m759 @ 12:00 PM

Matt B. Roscoe and Joe Zephyrs, both of Missoula, Montana, authors of article on quilt block symmetries

A death on the date of the above symmetry chat,
Wednesday, August 17, 2016

'Love Story' director dies

An Hispanic Hollywood moment:

Ojo de Dios —

Click for related material.

For further Hispanic entertainment,
see Ben Affleck sing 
"Aquellos Ojos Verdes "
in "Hollywoodland."

Sunday, January 21, 2018

At Which Point

Filed under: Uncategorized — m759 @ 6:06 PM

"In 'Sophistry,' a new play by Jonathan Marc Sherman
at the Playwrights Horizons Studio, a popular tenured
professor stands accused of sexual harassment
by a male student."

— Frank Rich in The New York Times , theater review
on October 12, 1993

"At which point another play, inchoate but arresting,
edges into view." — Rich, ibid.

"Johansson began acting during childhood,
after her mother started taking her to auditions.
She made her professional acting debut
at the age of eight in the off-Broadway production
of 'Sophistry' with Ethan Hawke, at New York's
Playwrights Horizons."

— IMDb Mini Biography by: Pedro Borges 

" 'Suddenly, I was 19 again and I started to remember
all the men I'd known who had taken advantage of
the fact that I was a young woman who didn't yet have
the tools to say no, or to understand the value of
my own self-worth,' the Avengers star described. 
'I had many relationships both personal and professional
where the power dynamic was so off that I had to create
a narrative in which I was the cool girl who could hang in
and hang out, and that sometimes meant compromising
what felt right for me . . . . ' "

— Scarlett Johansson yesterday at the 2018 Women's March
in Los Angeles, as reported in E! News .

Bill Murray and Scarlett Johansson in 'Lost in Translation'

Image in a Log24 post
of March 12, 2009.

Spiritual Memoir

Filed under: Uncategorized — m759 @ 9:09 AM

In her new spiritual memoir . . . .

Armies of the Night —

Armies of the Day —

Cole Porter —

Night and Day —

Saturday, January 20, 2018

Closed Set

Filed under: Uncategorized — Tags: — m759 @ 10:00 AM

From "Charmed," a Log24 post of Jan. 13, 2018 :

'The World of A-bar' by A. E. van Vogt, first published as a serial in 1945

The Chaos Symbol of Dan Brown

Filed under: Uncategorized — m759 @ 1:30 AM

In the following passage, Dan Brown claims that an eight-ray star
with arrowheads at the rays' ends is "the mathematical symbol for
entropy."  Brown may have first encountered this symbol at a 
questionable "Sacred Science" website.  Wikipedia discusses
some even less  respectable uses of the symbol.

Related news —

Related symbolism —

http://www.log24.com/log/pix11/110219-SquareRootQuaternion.jpg

A star figure and the Galois quaternion.

The square root of the former is the latter.

Friday, January 19, 2018

The Pentagram Papers

Filed under: Uncategorized — Tags: — m759 @ 11:45 AM

(Continued)

Jodie Foster in  a Dec. 15, 2017, sketch  with Stephen Colbert —

"People invest in and take ownership of brands,
and they wonder why the brand didn’t
ask their permission to change."

— Michael Bierut of Pentagram Design
in  a Design Week  article  of Jan. 17, 2018

Details

Filed under: Uncategorized — Tags: — m759 @ 4:04 AM

Thursday, January 18, 2018

A Phrase That Might Have Been

Filed under: Uncategorized — m759 @ 5:12 PM

The online New York Times  reports this afternoon
the death of a production designer on January 9th —

"In addition to the two Oscars Mr. Marsh won
(which he shared with others), he was nominated
for two more: for 'Scrooge' (1970), with Albert Finney and
Alex [sic ] Guinness, and 'Mary, Queen of Scots' (1971),
with Vanessa Redgrave and Glenda Jackson."

" The Little Broomstick  by  Mary Stewart,
illustrated by Shirley Hughes, published Brockhampton 1971.
The story is about Mary, staying at Great-Aunt Charlotte's house,
bored until she meets the black cat Tib and finds the purple flower
fly-by-night that makes the little broomstick fly. In chapter 10
'gay go up and gay go down' Mary hides in Endor College,
the witch school, after hours and finds Tib transformed into a frog
(Madame Mumblechook had taken him from her as her entry fee).
She recites the Master Spell to release him. ' It was a simple,
gay little rhyme, and it ended on a phrase that might have been
(but wasn't) "the dancing ring of days".'  
"  

"Bah, humbug!" — A Christmas Carol

Wednesday, January 17, 2018

Language Game

Filed under: Uncategorized — m759 @ 11:30 AM

Continued from Zen and Language Games
(a post of May 2, 2003, written on March 1, 2002)

From The Harvard Crimson  on St. Andrew's Day 2017 —

See also a larger, clearer view of the titles in the above file photo.

Dialogue suggested by the above Harvard Crimson  line
"I am a book today . . . . I know it all." —

A problem child* of sorts in the 2017 film "Gifted"

Mary- "Maybe this school isn't as great as you think it is."

Mary is returned to the place of her examination.

Professor- "Mary, you knew that the problem was incorrect, 
            why didn't you say anything?"

Mary- "Frank says I'm not supposed to correct older people. 
       Nobody likes a smart-ass."

* "Problem Child" was a working title related to a novel
    Heinlein wrote in 1941, Beyond This Horizon —

“Before Time Began, There Was the Cube”

Filed under: Uncategorized — m759 @ 8:00 AM

See Eightfold Froebel.

The Paradise of Childhood'-- Froebel's Third Gift

At Heaven’s Gate

Filed under: Uncategorized — Tags: — m759 @ 7:30 AM

(Continued from September 12, 2005)

The previous post contrasted the number-triple 11-7-8 below
with number triples 12-9-5 and 12-5-9.

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

A perhaps more logical counterpart of the triple 11-7-8, based
on opposite  locations of star-points or cube-edges, is
the triple 9-12-5. For a theological interpretation, see 9/12/05.

Tuesday, January 16, 2018

An Orison for Ha-Why

Filed under: Uncategorized — Tags: , — m759 @ 1:00 PM

'Cloud Atlas' book cover illustrating the film

Lines from characters played in the film by Tom Hanks and Halle Berry —

— Cloud Atlas , by David Mitchell (2004).

An orison of sorts from a post on Martin Scorsese's
birthday, Sunday, Nov. 18, 2007 —

BlackBerry with pictures from Log24

Displayed on the BlackBerry are parts
of Log24 posts from October 25, 2007,
and October 24, 2007.

Related pattern geometry 

From a Log24 search for Angleton + Brotherhood:
A photo of Angleton in a post from 12/9/5

The image “http://www.log24.com/log/pix05B/051209-Angleton.jpg” cannot be displayed, because it contains errors.

From a post of 11/7/8

http://www.log24.com/log/pix08A/081107-Tilespuzzle.jpg

A cryptic note for Dan Brown:

The above dates 11/7/8 and 12/9/5 correspond to the corner-labels
(read clockwise and counter-clockwise) of the two large triangles
in the Finkelstein Talisman

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

Above: More symbology for Tom Hanks from
this morning's post The Pentagram Papers.

The above symbology is perhaps better suited to Hanks in his
role as Forrest Gump than in his current role as Ben Bradlee.

The image “http://www.log24.com/log/pix05B/051211-gump.jpg” cannot be displayed, because it contains errors.

For Hanks as Dan Brown's Harvard symbologist 
Robert Langdon, see the interpretation 12/5/9, rather
than 12/9/5, of the above triangle/cube-corner label.

A Moriarty for Sherlock

Filed under: Uncategorized — m759 @ 10:01 AM

The Pentagram Papers

Filed under: Uncategorized — Tags: — m759 @ 9:16 AM

Other intersection-points-counting material —

The Finkelstein Talisman:

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

See also Hanks + Cube in this journal —

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube.

Game

Filed under: Uncategorized — m759 @ 2:00 AM

"There was a game we used to play . . . ."

— The Cranberries on "Charmed,"
Season 2, Episode 5 (aired Nov.  4, 1999)

Monday, January 15, 2018

IT Strategy

Filed under: Uncategorized — m759 @ 1:06 PM

See also posts tagged Systems Programming.

Boston News

Filed under: Uncategorized — m759 @ 11:14 AM

Related material in this  journal —

The final link in a post of 8:07 AM ET on Friday, June 27, 2008, 
pointed to http://www.gateofheavenparish.com. That 2008 link
now leads to a more recent, quite different, webpage.

The page that the link led to in 2008 is now archived at
https://web.archive.org/web/20080509125920/
http://www.gateofheavenparish.com/
.

Sunday, January 14, 2018

Horizon

Filed under: Uncategorized — m759 @ 11:24 PM

"Wer gab uns den Schwamm, um den ganzen Horizont wegzuwischen?"

— Nietzsche, "Der Tolle Mensch
 

Plea

Filed under: Uncategorized — Tags: — m759 @ 4:00 AM

Ken Yuszkus, Salem News  staff photo

SALEM — The former MIT professor from Hamilton
accused of trying to swindle his son’s widow and children
out of nearly $5 million pleaded not guilty to the charges
on Friday in Salem Superior Court. 

John Donovan Sr., 75, was clutching a set of rosary beads
as he entered his plea before Judge Timothy Feeley. 

Donovan was indicted last month by an Essex County grand jury
on 13 counts, including larceny, forgery and witness intimidation. 

. . . .


— Julie Manganis, Salem News  staff writer, Jan. 13, 2018

See also other posts tagged Systems Programming.

Saturday, January 13, 2018

Charmed

Filed under: Uncategorized — m759 @ 1:00 AM

From an obituary in this morning's online New York Times

"John Tunney seemed to have a charmed political life until 1976,
when at age 42 he lost his Senate seat after just one term
to the unlikeliest of Republican challengers, a former Democrat
named Samuel I. Hayakawa."

Topology punchline —

"Sorry, but A is closed."

For more tasteless mathematical humor, see . . .

'Mathemati-Con: A day of free events open to the public

Friday, January 12, 2018

Cold Case

Filed under: Uncategorized — m759 @ 11:00 PM

The butler did it.

Twelfth Tradition for San Diego

Filed under: Uncategorized — m759 @ 10:24 AM

Background

AMS-MAA Joint Mathematics Meetings, Jan. 10-13, 2018, San Diego

From The New York Times  online last October —

"A version of this article appears in print on October 6, 2017,
on Page A1 of the New York edition with the headline:
Genre-Spanning Author of ‘The Remains of the Day’
Wins Nobel
." 

From Log24 last October

From The San Diego Union-Tribune  on that October 6th —

"October 6, 2017, 4:25 PM"

"UC San Diego is mourning the loss of mathematician Jeff Remmel,
who died unexpectedly on Sept. 29th."

From Log24 on that Sept. 29th —

Principles Before Personalities:
Some Remarks for Science Addicts.

Thursday, January 11, 2018

The Bourne Report

Filed under: Uncategorized — m759 @ 5:06 PM

From the Hannah Goldfield link in today's 7 AM ET
post "In the Bag" —

"… the bride . . . . is a daughter of Gaylord Bourne and
Carl Goldfield of New Haven."

— Wedding story, New York Times , Oct. 18, 2015

A search indicates that Bourne may be the person of that name 
associated with Achievement First charter schools.

Here is a related story from today's online New York Times —

"Can a ‘No Excuses’ Charter Teach Students
to Think for Themselves?
(11:40 AM ET)

Upper West Side Story Continues

Filed under: Uncategorized — m759 @ 3:33 PM

In memory of a resident of the Upper West Side
who reportedly died on Twelfth Night 2018

“… the horizon is not the limit of meaning,
but that which extends meaning
from what is directly given
to the whole context in which it is given,
including a sense of a world.”

— David Vessey, Department of Philosophy,
Grand Valley State University,
Gadamer and the Fusion of Horizons,
International Journal of Philosophical Studies, 
17/4 (2009), 531-42.

In the Bag

Filed under: Uncategorized — m759 @ 7:00 AM

See as well Hannah Goldfield as Pennywise the Dancing Clown
in this morning's online New York Times —

<meta property="og:description" content="Life doesn’t present us
with many opportunities to put to use the facts that we know
for no other reason than that we know them." />

<meta property="article:published" itemprop="datePublished"
content="2018-01-11T05:00:26-05:00" />

Grab-Bag

Filed under: Uncategorized — m759 @ 6:18 AM

In a new film, "The Commuter," Liam Neeson fights
a conspiracy

"so vast and preposterous that it becomes
nothing more than a grab-bag of plot twists."

A. O. Scott in The New York Times , 5 AM Jan. 11

Update of 6:29 AM —

"What's purple and commutes?"

Wednesday, January 10, 2018

Logos

Filed under: Uncategorized — m759 @ 8:35 PM

(Continued)

New logo of the American Mathematical Society, Jan. 10, 2018

Updates of 9:40 PM ET Jan. 10
to 5:45 AM ET the next day:

See a letter from the AMS on their new logo.

      Recent revision (pre-2018) of the former AMS logo

The Society's letter describes perceptions of the pre-2018 logo —

"… market research on our current logo revealed that
the connection between a Greek temple and
a mathematical society has become increasingly tenuous
among non-members and younger mathematicians, who
associate the Greek temple with a financial institution."

The omission of the alleged motto of Plato's Academy,
AGEOMETRETOS ME EISITO, in the recent (pre-2018)
revision of the logo was part of the Society's ongoing
process of politically correct dumbing-down. That omission
may have influenced the perception of the logo as picturing
a Greek temple rather than the Academy.

Some related remarks from 2005 —

Tuesday, January 9, 2018

Unpleasantly Discursive

Filed under: Uncategorized — m759 @ 10:12 PM

Background for the remarks of Koen Thas in the previous post —
Schumacher and Westmoreland, "Modal Quantum Theory" (2010).

Related material —

" 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

The whole  truth may require an unpleasantly  discursive treatment.

Example —

1. The reported death on Friday, Jan. 5, 2018, of a dancer
     closely associated with George Balanchine

2. This journal on Friday, Jan. 5, 2018:

3. Illustration from a search related to the above dancer:

4. "Per Mare Per Terras" — Clan slogan above, illustrated with
     what looks like a cross-dagger.

    "Unsheathe your dagger definitions." — James Joyce.

5. Discursive remarks on quantum theory by the above
    Schumacher and Westmoreland:

6. "How much story do you want?" — George Balanchine

Koen Thas and Quantum Theory

Filed under: Uncategorized — Tags: — m759 @ 9:23 AM

'General Quantum Theory,' by Koen Thas, Dec. 13, 2017, preprint

This post supplies some background for earlier posts tagged
Quantum Tesseract Theorem.

Monday, January 8, 2018

Raiders of the Lost Theorem

Filed under: Uncategorized — Tags: — m759 @ 11:15 PM
 

The Quantum Tesseract Theorem 

 


 

Raiders —

A Wrinkle in Time
starring Storm Reid,
Reese Witherspoon,
Oprah Winfrey &
Mindy Kaling

 

Time Magazine  December 25, 2017 – January 1, 2018

The Overnight Case

Filed under: Uncategorized — m759 @ 9:45 PM

The previous post suggests a look at a baggage tale
from this evening's New York Times —

"Domestic airlines hoped to reunite all bags at the airport
with their owners by the end of Monday."


Yana Paskova for The New York Times

Time

Filed under: Uncategorized — m759 @ 12:00 AM

Sunday, January 7, 2018

Clueless:

Filed under: Uncategorized — Tags: — m759 @ 11:00 AM

Peter Zhang and Eric McLuhan on Interality

Space Program

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

Or:  Interality Illustrated

See also Seven Seals.

Saturday, January 6, 2018

Report from Red Mountain

Filed under: Uncategorized — Tags: — m759 @ 4:00 PM

Tom Wolfe in The Painted Word  (1975):

"It is important to repeat that Greenberg and Rosenberg
did not create their theories in a vacuum or simply turn up
with them one day like tablets brought down from atop
Green Mountain or Red Mountain (as B. H. Friedman once
called the two men). As tout le monde  understood, they
were not only theories but … hot news,
straight from the studios, from the scene."

Harold Rosenberg in The New Yorker  (click to enlarge)

See also Interality  and the Eightfold Cube .

Yale News

Filed under: Uncategorized — m759 @ 5:24 AM

The Yale of the title is not the university, but rather the
mathematician Paul B. Yale. Yale's illustration of the Fano
plane is below.

IMAGE- Triangular models of the 4-point affine plane A and 7-point projective plane PA

A different illustration from a mathematician named Greenberg —

This illustration of the ominous phrase "line at infinity"
may serve as a sort of Deathly Hallows  for Greenberg.
According to the AMS website yesterday, he died on
December 12, 2017:

A search of this  journal for Greenberg yields no mention of
the dead mathematician, but does yield some remarks
on art that are pehaps less bleak than the above illustration.

For instance —

Art adapted from the Google search screen. Discuss.

Friday, January 5, 2018

Tamagawa

Filed under: Uncategorized — Tags: — m759 @ 9:45 PM

Wikipedia — "Tamagawa's doctoral students included 
Doris Schattschneider and Audrey Terras."

See also Schattschneider and Terras in this  journal.

Subway Art for Plato’s Ghost

Filed under: Uncategorized — Tags: , — m759 @ 9:00 PM

Suggested by the previous post

See also the post Plato's Ghost of March 3, 2010.

Subway Art Continues

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

Subway art related to an event of January 3, 2018

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: Uncategorized — m759 @ 9:11 PM 

Click images for related material.

 

Types of Ambiguity

Filed under: Uncategorized — Tags: , — m759 @ 2:56 AM

From "The Principle of Sufficient Reason," by George David Birkhoff
in "Three Public Lectures on Scientific Subjects,"
delivered at the Rice Institute, March 6, 7, and 8, 1940 —

From the same lecture —

Up to the present point my aim has been to consider a variety of applications of the Principle of Sufficient Reason, without attempting any precise formulation of the Principle itself. With these applications in mind I will venture to formulate the Principle and a related Heuristic Conjecture in quasi-mathematical form as follows:

PRINCIPLE OF SUFFICIENT REASON. If there appears in any theory T a set of ambiguously  determined ( i e . symmetrically entering) variables, then these variables can themselves be determined only to the extent allowed by the corresponding group G. Consequently any problem concerning these variables which has a uniquely determined solution, must itself be formulated so as to be unchanged by the operations of the group G ( i e . must involve the variables symmetrically).

HEURISTIC CONJECTURE. The final form of any scientific theory T is: (1) based on a few simple postulates; and (2) contains an extensive ambiguity, associated symmetry, and underlying group G, in such wise that, if the language and laws of the theory of groups be taken for granted, the whole theory T appears as nearly self-evident in virtue of the above Principle.

The Principle of Sufficient Reason and the Heuristic Conjecture, as just formulated, have the advantage of not involving excessively subjective ideas, while at the same time retaining the essential kernel of the matter.

In my opinion it is essentially this principle and this conjecture which are destined always to operate as the basic criteria for the scientist in extending our knowledge and understanding of the world.

It is also my belief that, in so far as there is anything definite in the realm of Metaphysics, it will consist in further applications of the same general type. This general conclusion may be given the following suggestive symbolic form:

Image-- Birkhoff diagram relating Galois's theory of ambiguity to metaphysics

While the skillful metaphysical use of the Principle must always be regarded as of dubious logical status, nevertheless I believe it will remain the most important weapon of the philosopher.

Related remarks by a founding member of the Metaphysical Club:

See also the previous post, "Seven Types of Interality."

Seven Types of Interality*

Filed under: Uncategorized — Tags: , — m759 @ 1:00 AM

* See the term interality  in this journal.
For many synonyms, see 
"The Human Seriousness of Interality,"
by Peter Zhang, Grand Valley State University,
China Media Research  11(2), 2015, 93-103.

Thursday, January 4, 2018

Perspectives from a Chinese Jar

Filed under: Uncategorized — Tags: , — m759 @ 4:40 PM

" . . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."

— T. S. Eliot, Four Quartets

"The Grand Valley spirit never dies."

— Adapted from the Tao Te Ching

For T. S. Eliot

Filed under: Uncategorized — Tags: — m759 @ 5:01 AM

“I need a photo opportunity, I want a shot at redemption.
 Don’t want to end up a cartoon in a cartoon graveyard.”

 — Paul Simon

For a Cartoon Graveyard

Filed under: Uncategorized — Tags: , — m759 @ 4:56 AM

“… the horizon is not the limit of meaning,
but that which extends meaning
from what is directly given
to the whole context in which it is given,
including a sense of a world.”

— David Vessey,
Gadamer and the Fusion of Horizons

(Quoted here on Saturday, June 4, 2005.)

Tuesday, January 2, 2018

Hell and Easter

Filed under: Uncategorized — m759 @ 11:22 PM

This post was suggested by the reported Monday, Jan. 1, 2018
death of the Juilliard String Quartet founding violinist and by the
reported Thursday, Feb. 25, 2016 death of his brother, a
biotech entrepreneur.

Details from Feb. 25-26, 2016

Related material from this evening's New York Times

The archaeologist above reportedly died on Friday, Dec. 29, 2016. 
See too a Log24 post from that date, On Becket's Day.

Debs and Redhead

Filed under: Uncategorized — m759 @ 3:15 PM

Or:  Schoolgirl Problems

The above images were suggested in part by the birthdays
on Sept. 21, 2011, of Bill Murray and Stephen King.

More seriously, also in this journal on that date, from a post
titled Symmetric Generation —

Monday, January 1, 2018

Diamond Theory 1976

Filed under: Geometry — m759 @ 8:26 PM

The first 12 pages of my 1976 preprint "Diamond Theory" are 
now scanned and uploaded.  See a slideshow.

For downloading, all 12 pages are combined in a PDF.

Sunday, December 31, 2017

Where Parallels Meet

Filed under: Uncategorized — m759 @ 5:00 PM

The previous post, together with a New York Times  report on
an Upper West Side figure's  death on Friday, suggests a review . . .

Related material —

Illustrations from  a post of Oct. 11, 2010

http://www.log24.com/log/pix10B/101011-137JungPauli-sm.jpg   http://www.log24.com/log/pix10B/101011-SkeletonCrew.jpg

Ich, Du, etc., etc.

Filed under: Uncategorized — m759 @ 9:00 AM

Recent posts involving the English pronoun IT referred to
classic tales of horror by Madeleine L'Engle and Stephen King.

Those posts suggest some further remarks by Martin Buber

THE WORLD IS TWOFOLD for man
     in accordance with his twofold attitude.
The attitude of man is twofold
     in accordance with the two basic words he can speak.
The basic words are not single words but word pairs.
One basic word is the word pair I-You.
The other basic word is the word pair I-It;
     but this basic word is not changed when
     He or She takes the place of It.
Thus the I of man is also twofold.
For the I of the basic word I-You is different from
     that in the basic word I-It.

— Buber, Martin. I and Thou, Trans. Kaufmann
     (p. 53). Kindle Edition. 

Four German pronouns from the above passage
by Martin Buber lead to six pronoun pairs:

ich-du, ich-es, ich-sie, du-es, du-sie, es-sie.

This is in accordance with some 1974 remarks by
Marie-Louise von Franz

The following passage by Buber may confuse readers of
L'Engle and King with its use, in translation, of "it" instead of
the original German "sie" ("she," corresponding to "die Welt") —

Here, for comparison, are the original German and the translation.

As for "that you in which the lines of relation, though parallel,
intersect," and "intimations of eternity," see Log24 posts on
the concept "line at infinity" as well as "Lost Horizon."

Saturday, December 30, 2017

Aliveness*

Filed under: Uncategorized — m759 @ 1:08 PM

"It was a dark and stormy night . . ."

* See also other posts using this word.

A Dream

Filed under: Uncategorized — Tags: — m759 @ 11:26 AM

Say You, Say Me

Lionel Richie
. . . .

"I had a dream,
     I had an awesome dream
People in the park
     playing games in the dark
And what they played
     was a masquerade
And from behind walls of doubt
     a voice was crying out"
. . . .

 "Something else was behind this . . .
  because it makes no sense.”

— The author reviewed in today's previous post,
as quoted yesterday in The Boston Globe

Say you, say me, say  IT . . .

A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times  philosophy series The Stone  —

About IT

Filed under: Uncategorized — Tags: — m759 @ 12:06 AM

Goodreads review of 'Systems Programming,' a book by John J. Donovan

Background: See Wrinkle  in this journal and a post,
Field of Manifestation, from the above 2015 date.

See as well the Goodreads page below.

The six books reviewed by this user were written or
co-written by the author in the review shown above.
Each review gave the highest rating, five stars.

Friday, December 29, 2017

On Becket’s Day

Filed under: Uncategorized — m759 @ 1:22 PM

For those who prefer Becket to Beckett
See a Log24 search for True Grid.

Update of 1:37 PM —

Thursday, December 28, 2017

Rocky Start

Filed under: Uncategorized — m759 @ 9:11 PM

The above prose suggests a musical alternative to the Dec. 21
Camazotz song in the posts tagged Quantum Tesseract Theorem . . .

 

To Play the Villain

Filed under: Uncategorized — m759 @ 7:47 PM

See as well Faustus in this  journal.

Memorandum of Misunderstanding

Filed under: Uncategorized — m759 @ 11:40 AM

Harrison Ford in "Blade Runner 2049" —

Click the above quote for a scholium.

See also the previous post and . . .

Wednesday, December 27, 2017

On Fiction and Mathematics

Filed under: Uncategorized — m759 @ 1:01 PM

"There is always an awareness in her fiction
of the subjectivity of perception, and
the kaleidoscopic permutations
that memory can work on reality."

This is from a New York Times  article subtitled
"Alice Munro, Nobel Winner, Mines the Inner Lives
of Girls and Women" 

The New York Times  article was linked to by Marjorie Senechal
in a Huffington Post article of All Saints' Day 2013.

Further material on kaleidoscopic permutations —

See the Log24 post Symmetry of May 3, 2016.

For further material on mining, see Diamond-Mine:

'The Seven Dwarfs and their Diamond Mine

"SEE HEAR READ" — Walt Disney Productions

Winter Fire

Filed under: Uncategorized — m759 @ 5:55 AM

For Day 27 of December 2017

Filed under: Uncategorized — m759 @ 3:57 AM

See the 27-part structure of
the 3x3x3 Galois cube

IMAGE- The 3x3x3 Galois cube
as well as Autism Sunday 2015.

Tuesday, December 26, 2017

Raiders of the Lost Stone

Filed under: Uncategorized — m759 @ 8:48 PM

(Continued

 

Two Students of Structure

A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times  philosophy series The Stone  —

Diana Senechal's 1999 doctoral thesis at Yale was titled
"Diabolical Structures in the Poetics of Nikolai Gogol."

Her mother, Marjorie Senechal, has written extensively on symmetry
and served as editor-in-chief of The Mathematical Intelligencer .
From a 2013 memoir by Marjorie Senechal —

"While I was in Holland my enterprising student assistant at Smith had found, in Soviet Physics – Crystallography, an article by N. N. Sheftal' on tetrahedral penetration twins. She gave it to me on my return. It was just what I was looking for. The twins Sheftal' described had evidently begun as (111) contact twins, with the two crystallites rotated 60o with respect to one another. As they grew, he suggested, each crystal overgrew the edges of the other and proceeded to spread across the adjacent facet.  When all was said and done, they looked like they'd grown through each other, but the reality was over-and-around. Brilliant! I thought. Could I apply this to cubes? No, evidently not. Cube facets are all (100) planes. But . . . these crystals might not have been cubes in their earliest stages, when twinning occurred! I wrote a paper on "The mechanism of certain growth twins of the penetration type" and sent it to Martin Buerger, editor of Neues Jarbuch für Mineralogie. This was before the Wrinch symposium; I had never met him. Buerger rejected it by return mail, mostly on the grounds that I hadn't quoted any of Buerger's many papers on twinning. And so I learned about turf wars in twin domains. In fact I hadn't read his papers but I quickly did. I added a reference to one of them, the paper was published, and we became friends.[5]

After reading Professor Sheftal's paper I wrote to him in Moscow; a warm and encouraging correspondence ensued, and we wrote a paper together long distance.[6] Then I heard about the scientific exchanges between the Academies of Science of the USSR and USA. I applied to spend a year at the Shubnikov Institute for Crystallography, where Sheftal' worked. I would, I proposed, study crystal growth with him, and color symmetry with Koptsik. To my delight, I was accepted for an 11-month stay. Of course the children, now 11 and 14, would come too and attend Russian schools and learn Russian; they'd managed in Holland, hadn't they? Diana, my older daughter, was as delighted as I was. We had gone to Holland on a Russian boat, and she had fallen in love with the language. (Today she holds a Ph.D. in Slavic Languages and Literature from Yale.) . . . . 
. . .
 we spent the academic year 1978-79 in Moscow.

Philosophy professors and those whose only interest in mathematics
is as a path to the occult may consult the Log24 posts tagged Tsimtsum.

Stoned: A Reading for St. Stephen’s Day

Filed under: Uncategorized — m759 @ 10:22 AM

See also Log24 posts now tagged Apperception.

Monday, December 25, 2017

New Kids on a Block:

Filed under: Uncategorized — m759 @ 11:59 PM

A Midnight Special for Charles Wallace


Peter Block —

Old Kid on Peter Block —

See the remarks today of Harvard philosophy professor Sean D. Kelly
in The New York Times :

Alexander's "15 properties that create the wholeness and aliveness" —

This is the sort of bullshit that seems to go over well at Harvard.
See Christopher Alexander in this journal.

Every Picture Tells a Story

Filed under: Uncategorized — m759 @ 12:00 PM

The movie marquee below
("Batman" and "Lethal Weapon 2")
indicates that the recent film "IT" 
is set in the summer of 1989.

The marquee suggests a review.  Also . . . .

" the thing that has shown up every twenty-seven years
     or so . . . .   It always comes back, you see.  It."
     — King, Stephen.  IT  (p. 151). Scribner. Kindle Edition. 

    Note that the flashback summer in King's book,
    1958  plus 27 is 1985  plus 27 is 2012.

The Weintraub Opening

Filed under: Uncategorized — m759 @ 3:48 AM

See also posts now tagged Weintraub.

Sunday, December 24, 2017

Piano Roll

Filed under: Uncategorized — m759 @ 12:00 PM

See also posts tagged Root Circle.

Saturday, December 23, 2017

Search Result

Filed under: Uncategorized — m759 @ 9:29 PM

The Right Stuff

Filed under: Geometry — Tags: — m759 @ 1:12 PM

A figure related to the general connecting theorem  of Koen Thas —

Anticommuting Dirac matrices as spreads of projective lines

Ron Shaw on the 15 lines of the classical generalized quadrangle W(2), a general linear complex in PG(3,2)

See also posts tagged Dirac and Geometry in this  journal.

Those who prefer narrative to mathematics may, if they so fancy, call
the above Thas connecting theorem a "quantum tesseract theorem ."

The Patterning

Filed under: Uncategorized — Tags: — m759 @ 12:25 PM

See a Log24 search for "Patterning Windows."

Related material (Click for context) —

.

IT Girl (for Sweet Home Alabama)

Filed under: Uncategorized — Tags: — m759 @ 3:35 AM

Friday, December 22, 2017

IT

Filed under: Geometry — Tags: — m759 @ 4:08 PM

Movie marquee on Camazotz, from the 2003 film of 'A Wrinkle in Time'

From a Log24 post of October 10, 2017

Koen Thas, 'Unextendible Mututally Unbiased Bases' (Sept. 2016)

Related material from May 25, 2016 —

Thursday, December 21, 2017

Wrinkles

Filed under: Uncategorized — Tags: — m759 @ 1:00 PM

TIME magazine, issue of December 25th, 2017 —

" In 2003, Hand worked with Disney to produce a made-for-TV movie.
Thanks to budget constraints, among other issues, the adaptation
turned out bland and uninspiring. It disappointed audiences,
L’Engle and Hand. 'This is not the dream,' Hand recalls telling herself.
'I’m sure there were people at Disney that wished I would go away.' "

Not the dream?  It was, however, the nightmare, presenting very well
the encounter in Camazotz of Charles Wallace with the Tempter.

From a trailer for the latest version —

Detail:

From the 1962 book —

"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."

Song adapted from a 1960 musical —

"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"

For Winter Solstice 2017

Filed under: Geometry — m759 @ 10:30 AM

A review —

Some context —

Webpage demonstrating symmetries of 'Solomon's Cube'

Wednesday, December 20, 2017

A Snow Ball for Clifford Irving (1930-2017)

Filed under: Geometry — m759 @ 11:45 PM

William Grimes in The New York Times  this evening —

"Clifford Irving, who perpetrated one of the biggest literary hoaxes
of the 20th century in the early 1970s when he concocted a
supposedly authorized autobiography of the billionaire Howard Hughes
based on meetings and interviews that never took place, died on Tuesday
at a hospice facility near his home in Sarasota, Fla. He was 87."

A figure reproduced here on Tuesday

A related figure —

See too the 1973 Orson Welles film "F for Fake."

Some background on the second figure above —
posts tagged April 8-11, 2016.

Some background on the first figure above —
today's previous post, January 2018 AMS Notices.

January 2018 AMS Notices

Filed under: Uncategorized — m759 @ 3:03 PM

Update of 9:29 PM ET Dec. 20, 2017 —

See in particular, in the above Notices , the article

"Algebraic Structures on Polytopes," by Federico Ardila,
within the 2018 Joint Mathematics Meeting Lecture Sampler.

Related reading:

arXiv:1711.09102v1 [hep-th] 24 Nov 2017,

"Scattering Forms and the Positive Geometry of
Kinematics, Color and the Worldsheet," by
Nima Arkani-Hamed, Yuntao Bai, Song He, Gongwang Yan
(Submitted to the arXiv on 24 Nov. 2017).

Devil’s Claws, Etc., Etc.

Filed under: Geometry — m759 @ 1:04 PM

"And Cabots speak only to God."

Departed

Filed under: Uncategorized — m759 @ 1:28 AM

(Tuesday, Boston time; early Wednesday, Rome time.)

"The metaphor for metamorphosis no keys unlock."

Tuesday, December 19, 2017

A Mythologem for Meletinsky

Filed under: Geometry — m759 @ 11:00 AM

The word "mythologem" on page 55 of The Burning Fountain 
by Philip Wheelwright, revised edition of 1968 (p. 91 in the 1954
edition), suggests a Web search for that word. It was notably often
used in the 1998 English translation of a book by Eleazar Meletinsky
first published in Russian in 1976 —

Meletinsky reportedly died on December 17, 2005.

In his memory, Log24 posts from that date are now tagged Mythologem Day.

"And we may see the meadow in December,
icy white and crystalline" — Johnny Mercer

Monday, December 18, 2017

Mathematics and Art

Filed under: Geometry — m759 @ 5:09 PM

From the American Mathematical Society homepage today —

From concinnitasproject.org

"Concinnitas  is the title of a portfolio of fine art prints. . . .
The portfolio draws its name from a word famously used
by the Renaissance scholar, artist, architect, and philosopher
Leon Battista Alberti (1404-1472) to connote the balance of
number, outline, and position (in essence, number, geometry,
and topology) that he believed characterize a beautiful work of art."

The favicon of the Concinnitas Project —

The structure of the Concinnitas favicon —

This structure is from page 15 of
"Diamond Theory," a 1976 preprint —

 .

Wheelwright and the Dance

Filed under: Geometry — m759 @ 1:00 PM

The page preceding that of yesterday's post  Wheelwright and the Wheel —

See also a Log24 search for 
"Four Quartets" + "Four Elements".

A graphic approach to this concept:

"The Bounded Space" —

'Space Cross' from the Cullinane diamond theorem

"The Fire, Air, Earth, and Water" —

Logo for 'Elements of Finite Geometry'

Sunday, December 17, 2017

Wheelwright and the Wheel

Filed under: Uncategorized — m759 @ 9:00 PM

Wheelwright on 'the still point' at the center of a turning wheel, in 'The Burning Fountain'

From the 1968 "new and revised edition" —

See also the previous post.

For the phrase "burning fountain," see Shelley's "Adonais,"
as well as Logos (a post of Dec. 4) and The Crimson Abyss.

Concrete Universals

Filed under: Uncategorized — Tags: — m759 @ 6:45 PM

The remarks on universals in the previous post linked to the following
note by James Hillman:

James Hillman, Re-Visioning Psychology
Harper Collins, 1977, p. 155 —

"Myths also make concrete particulars into universals,
so that each image, name, thing in my life when
experienced mythically takes on universal sense,
and all abstract universals, the grand ideas of
human fate, are presented as concrete actions." 
[See note 48.]

Note 48:  Cf. P. Wheelwright's discussion of concrete universality
in The Burning Fountain  (Bloomington, Ind.: Indiana University
Press, 1968), pp. 52-54.

For Wheelwright's discussion, see the following excerpts from his book:

Pages 50-5152-5354-55.

Saturday, December 16, 2017

Dagger Definitions (Review)

Filed under: Geometry — Tags: — m759 @ 11:30 AM

The previous post suggests a review of
the philosophical concept of universals —

A part of the above-mentioned 2011 "Saturday evening's post" that is
relevant to the illustration at the end of today's previous post —

http://www.log24.com/log/pix11/110101-Singer377abridged.jpg

Note the whatness of Singer's  dagger definitions —

Older Posts »

Powered by WordPress