Tuesday, June 30, 2015

Chess Problem…

Filed under: General — m759 @ 12:15 PM

… de la Iglesia

See Jan. 16-18, 2008, on poetry in Spanish
and the death of chess champion Bobby Fischer.

Note also yesterday evening's post and the date
Jan. 18, 2008, in the following Google search sidebar:

The film of The Oxford Murders  was first released on Jan. 18,
2008, in Spain. Its premiere was in Madrid on the preceding day,
which was also the day of Bobby Fischer's death.

Monday, June 29, 2015

Barbara Reynolds, 1914-2015

Filed under: General — m759 @ 8:01 PM

In memory of Reynolds, a Dante scholar who reportedly died
on April 29, 2015 —

Lynn Arthur Steen, 1941-2015

Filed under: General — m759 @ 1:10 PM

Steen reportedly died on Sunday, June 21, 2015.

This was the day of the most recent post in
the "High White Noon" series.

Old Meaning

Filed under: General — m759 @ 11:45 AM

(As opposed to the previous post.)

Today is the Feast of Saints Peter and Paul.

A reading from a parish named for them,
dated September 20, 2014 —

See also this journal on the above date — Sept. 20, 2014.

Sunday, June 28, 2015

New Meaning

Filed under: General — m759 @ 11:45 PM

1985 — Church window in "Broken Wings" music video —

For Kristen Wiig, whose performances

  • in "MacGruber" (2010) to the accompaniment of
    the above 1985 Mr. Mister song "Broken Wings," and
  • as NASA spokesperson Annie Montrose in the upcoming
    film "The Martian" 

give a new meaning to the phrase "flying fuck."

2015 — NASA video of June 28 Falcon 9  launch —

Occupy Space

Filed under: General — m759 @ 3:24 PM


Star Quality

Filed under: General — m759 @ 1:10 PM

Actor portraying Bobby Fischer

Seize the Dia

Filed under: General — m759 @ 12:00 PM

(Continued from April 6, 2013)

Saturday, June 27, 2015

A Death of Kings

Filed under: General — m759 @ 10:25 PM

The title is that of  a classic 1968 New Yorker  essay
by George Steiner. See previous posts on this topic.

A Single Finite Structure

Filed under: General,Geometry — Tags: — m759 @ 12:15 PM

"It is as if one were to condense
all trends of present day mathematics
onto a single finite structure…."

— Gian-Carlo Rota, foreword to
A Source Book in Matroid Theory ,
Joseph P.S. Kung, Birkhäuser, 1986

"There is  such a thing as a matroid."

— Saying adapted from a novel by Madeleine L'Engle

Related remarks from Mathematics Magazine  in 2009 —

See also the eightfold cube —

The Eightfold Cube


Friday, June 26, 2015

Expanding the Spielfeld*

Filed under: General — Tags: — m759 @ 2:45 PM

For TD Arena

See also Lincoln Alexander and posts in
this journal just before and on the date of
Alexander's death — Oct. 19, 2012.

* For the title, see Spielfeld posts.

Thursday, June 25, 2015

Best Picture

Filed under: General — m759 @ 12:25 PM

Related material:

The Best Picture and posts of Columbus Day, 2014.

Wednesday, June 24, 2015

It’s 10 PM

Filed under: General — m759 @ 10:00 PM

Do you know where your watch is?

From a post of May 13, 2015 —

From the recent film "Interstellar" —

Scoring Plan 9

Filed under: General — Tags: , — m759 @ 6:33 PM

In keeping with the resurrection themes of the
previous post and of "Plan 9 from Outer Space,"
here is a link to the soundtrack of "Field of Dreams."

Related material:

A post of March 11, 2014, on
truth, cornfields, and Rebecca Goldstein —
Dark Fields of the Republic.

R.I.P., James Horner.

Easter Monday 2012

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

Rebecca Goldstein, the author mentioned in
the previous two posts, spoke at Santa Fe Institute
on Easter Monday, April 9, 2012.

This journal on that date:


Filed under: General — Tags: — m759 @ 11:09 AM

The Santa Fe Institute logo, together with the previous post,
suggests a review of Whirligig and Quaternion for Goldstein.

Monday, June 22, 2015

Plato for Rebecca Goldstein

Filed under: General,Geometry — Tags: , — m759 @ 10:24 AM

"… geometry will draw the soul towards truth…." — Plato

Or not.

Sunday, June 21, 2015

High White Noon

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


You can't make this stuff up.


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

Saturday, June 20, 2015

Conceptual Art for Basel

Filed under: General,Geometry — Tags: — m759 @ 7:59 PM

The previous post's link to The Lindbergh Manifesto
and Thursday's post on Basel-born artist Wolf Barth 
suggest the following —

See as well a June 14 New York Times
piece on Art Basel.

The logo of the University of Basel 

suggests a review of The Holy Field —



Filed under: General — m759 @ 9:00 AM

'Wim Wenders and Peter Lindbergh in Conversation'

See also Wenders and Lindbergh in this journal.

Friday, June 19, 2015


Filed under: General,Geometry — m759 @ 9:29 PM

There is  such a thing as geometry.*

* Proposition adapted from A Wrinkle in Time , by Madeleine L'Engle.

Schoolgirl Problem

Filed under: General — m759 @ 12:30 PM

The star of the new film "Chappie" is on tour.

Thursday, June 18, 2015

Expanding the Spielraum

Filed under: General — Tags: — m759 @ 2:25 PM

(Continued from Feb. 3, 2015)

IMAGE- Spielfeld (1982-83), by Wolf Barth

The above artist  Wolf Barth is not the same person
as the mathematician  Wolf Barth quoted in the 
previous post.  For further background on the artist, see
an article in Neue Zürcher Zeitung  from Nov. 15, 2013.

Wednesday, June 17, 2015

Slow Art, Continued

Filed under: General,Geometry — Tags: , — m759 @ 10:01 AM

The title of the previous post, "Slow Art," is a phrase
of the late art critic Robert Hughes.

Example from mathematics:

  • Göpel tetrads as subsets of a 4×4 square in the classic
    1905 book Kummer's Quartic Surface  by R. W. H. T. Hudson.
    These subsets were constructed as helpful schematic diagrams,
    without any reference to the concept of finite  geometry they
    were later to embody.
  • Göpel tetrads (not named as such), again as subsets of
    a 4×4 square, that form the 15 isotropic projective lines of the
    finite projective 3-space PG(3,2) in a note on finite geometry
    from 1986 —


    Göpel tetrads in an inscape, April 1986

  • Göpel tetrads as these figures of finite  geometry in a 1990
    foreword to the reissued 1905 book of Hudson:

IMAGE- Galois geometry in Wolf Barth's 1990 foreword to Hudson's 1905 'Kummer's Quartic Surface'

Click the Barth passage to see it with its surrounding text.

Related material:

Monday, June 15, 2015

Slow Art

Filed under: General — Tags: , , — m759 @ 2:03 PM

Slowness is sometimes in the eye of the beholder.

See this journal on Slow Art Day 2015.

Related material: Epistemic States in this journal.

Omega Matrix

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

See that phrase in this journal.

See also last night's post.

The Greek letter Ω is customarily used to
denote a set that is acted upon by a group.
If the group is the affine group of 322,560
transformations of the four-dimensional
affine space over the two-element Galois
field, the appropriate Ω is the 4×4 grid above.

See the Cullinane diamond theorem.

Sunday, June 14, 2015

New Image of PG(3,2)

Filed under: General,Geometry — m759 @ 11:02 PM

was added to the Wikipedia article Finite geometry.

(Shown above is a slightly newer image, changed to reflect  
the Wikipedia article's remarks on the schoolgirl problem.)

The Raising of Hell

Filed under: General — Tags: — m759 @ 3:06 PM

On a former LA Times  editor who reportedly died today at 73 —

"Richard Masland, who grew up with Carroll, described
his friend as a mediocre student who enjoyed midnight
raids on auto junkyards and other mischief.

But, Masland noted, he 'was never the front man.
He let other people actually do the raising of hell.'"

Elaine Woo, LA Times , June 14, 2015

Autistic Enchantments

Filed under: General — Tags: — m759 @ 12:45 PM

Continued )

Log24  on January 31, 2015 —

Spellbound (continued)

Filed under: Uncategorized — m759 @ 3:33 AM

The New York Times  this morning, in an
obituary for a maker of crossword puzzles :

“… the first known crossword puzzle appeared in
an American newspaper. (Called a ‘word-cross’
and shaped like a diamond, it was published in
The New York World  on Sunday, Dec. 21, 1913.)”

See St. Nicholas  magazine, November 1874, p. 59 :

For the answer, see this  journal on Aug. 29, 2002
(with a scene from Spellbound ) and on July 15, 2004.

On that same date 

The Seattle Times , Feb. 8, 2015, updated Feb. 12—

How to solve the puzzle:

“… you begin by filling in the missing words
for the limericks.

Dice, yAhtzee, woN, yahTzee, twicE;
Wall, dRawl, geOrgia’s, staTe, minnEsota;
Truck, rEd, fiReman’s, blaZe, hydrAnt;
Bob, sLob, prAy, saiNt, thanK.

The capital letters help to show what comes next,
as clued by the 1,2,3,4,5 in the title.

You take the first letter of the first inserted word,
the second of the second and so on. The resulting
message is ‘Dante wrote terza blank.’ The blank
is RIMA, as terza rima was the rhyme scheme
Dante used in the Divine Comedy.”

See also two other dates, June 3, 2015, and June 10, 2015,
in this  journal and in the life of the puzzle author.

The date of the puzzle’s answer, Feb. 8, 2015, is also
not without interest.

IMAGE- Art Jeffries (Bruce Willis) and Simon Lynch (Miko Hughes), 'Mercury Rising' (1998)

“Click on fanciful .”

Saturday, June 13, 2015

Art Direction 101

Filed under: General — m759 @ 8:29 PM

The Holy Field

Filed under: General,Geometry — m759 @ 7:45 PM

( A Chinese designation for the 3×3 square )

Egg Tales

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

"And not all the king's men nor his horses
 Will resurrect his corpus."

Finnegans Wake

See as well Andy Weir's "The Egg" and Working Backward.

Plan 9 Continues…

Filed under: General — Tags: — m759 @ 11:32 AM

A version of the song in the previous post that I prefer:

A related meditation —

IMAGE- Joseph Campbell, 'The Inner Reaches of Outer Space,' meditation on the number nine, the Goddess, and the Angelus

For a more abstract version of the
"matrix of the cosmic process,"
see "3×3 Grid" in this journal.

Friday, June 12, 2015


Filed under: General — m759 @ 11:30 PM

For a singer.

The right stuff —

How can we know the singer from the song ?


Filed under: General — m759 @ 2:14 PM

The online Los Angeles Times  yesterday —

June 11, 2015 

Robert Chartoff, an Oscar-winning Hollywood producer
who got a tantalizing peek into show business in the Catskills
and went on to make six "Rocky" films, "Raging Bull,"
"The Right Stuff" and nearly two dozen other movies,
has died at his home in Santa Monica. He was 81.

Chartoff, who died Wednesday, had been diagnosed with
pancreatic cancer two years ago, his son William said.

— Steve Chawkins

A fiction quoted here on the reported date of Chartoff's death —

“What… what happened?” you asked. “Where am I?”

“You died,” I said, matter-of-factly. No point in mincing words.

— Andy Weir, "The Egg"


Filed under: General,Geometry — m759 @ 1:37 PM

Was ist Raum, wie können wir ihn
erfassen und gestalten?”

Walter Gropius,

The Theory and
Organization of the

This post was suggested by the Bauhaus song
"Bela Lugosi's Dead" at the beginning of the
1983 Tony Scott classic "The Hunger."


Filed under: General — m759 @ 1:00 PM

"Now we're partners in crime" — Ace of Base, "The Golden Ratio"

Or not.

"The Hunger" (1983) was directed by Tony Scott.

See also Tony Scott in this journal.

Dickens for Child Buyers

Filed under: General — m759 @ 1:00 AM

"              … yet the dread
Of dying, and being dead,
Flashes afresh to hold and horrify."

— Philip Larkin, "Aubade"

From tonight's New York Times  obituaries —

See as well "Child Buyer" in this journal.


Filed under: General — m759 @ 12:00 AM
Grindhouse Madonna ,
Children at your feet.

Thursday, June 11, 2015


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

Omega is a Greek letter, Ω , used in mathematics to denote
a set on which a group acts. 

For instance, the affine group AGL(3,2) is a group of 1,344
actions on the eight elements of the vector 3-space over the
two-element Galois field GF(2), or, if you prefer, on the Galois
field  Ω = GF(8).

Related fiction:  The Eight , by Katherine Neville.

Related non-fiction:  A remark by Werner Heisenberg
in this journal on Saturday, June 6, 2015, the eightfold cube ,
and the illustrations below —



The Fano plane block design



The Deathly Hallows symbol—
Two blocks short of  a design.

In Memoriam

Filed under: General — m759 @ 9:00 AM

"For every kind of vampire, there is a kind of cross."
— Gravity's Rainbow

Wednesday, June 10, 2015

Epistemic States

Filed under: General — m759 @ 10:25 PM

From Socrates to Waterloo —

(Click images to enlarge.)

See also today's earlier Epistemic Tetrads.

Grindhouse Madonna

Filed under: General — Tags: — m759 @ 8:28 PM

See also "Welcome to Me" in Log24 and recent posts tagged Grindhouse.

Update of 9 PM:

The book that "The Martian" is based on is by Andy Weir.
A somewhat Hindu (or Socratic) religious meditation from
Weir's earlier story "The Egg" —

“Your soul is more magnificent, beautiful, and gigantic
than you can possibly imagine."

Like a Prayer

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

"Let the choir sing." — Madonna

Welcome to Noplace

Filed under: General — m759 @ 2:01 PM

See an informative essay at noplace.no on the work of
Oslo artist Josefine Lyche in connection with her current
(June 12-21) exhibition, "Contact."

A paragraph from that essay —

See also Lyche in this journal.

Epistemic* Tetrads

Filed under: General,Geometry — Tags: — m759 @ 12:45 PM

"Those that can be obtained…." —

Related music video: Waterloo.

* "In defense of the epistemic view of quantum states:
a toy theory," by Robert W. Spekkens, Perimeter Institute
for Theoretical Physics, Waterloo, Canada 

Traveling Salesmen

Filed under: General,Geometry — m759 @ 11:00 AM

    Click the above image for the IMDb page from which it is taken.

Peter J. Cameron today:

"Course material associated with Jack Edmonds’ lectures
can be found here."

See also High Concept (Jan. 21, 2015) —

Image from the end of the 2012 film "Travelling Salesman" 

— and another eye in a triangle 

From the Log24 post Prize (June 7, 2015)

Tuesday, June 9, 2015

For the Late Hermann Zapf*

Filed under: General — m759 @ 11:22 PM



* Zapf, a type designer, reportedly died on Thursday, June 4, 2015.

For the Late Vincent Bugliosi

Filed under: General — m759 @ 10:30 PM

Talent Scout

Filed under: General — m759 @ 9:05 PM

"Looking for what was, where it used to be" — Wallace Stevens

Colorful Song

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

For geeks* —

Domain, Domain on the Range , "

where Domain = the Galois tesseract  and
Range = the four-element Galois field.

This post was suggested by the previous post,
by a Log24 search for Knight + Move, and by
the phrase "discouraging words" found in that search.

* A term from the 1947 film "Nightmare Alley."

Princeton Flashback

Filed under: General — m759 @ 1:00 PM

From The Daily Princetonian  on May 29, 2015:

"… well, isn’t that what Reunions is all about?
  Making memories?"

"Try to remember the kind of September ."

From this  journal on May 29, 2015:


Filed under: Uncategorized — m759 @ 7:29 AM 

The film "Pawn Sacrificereportedly opened in Toronto 
on September 11, 2014. 

See as well Log24 posts of that day and Autistic Enchantment.


The Dark Horse Rises

Monday, June 8, 2015

Princeton Prize*

Filed under: General — m759 @ 11:59 AM

A box of Frosties for Joyce Carol Oates.

Backstory:  Oxford Word (July 10, 2004) —
a meditation on the date January 29 —  
and that date here this year.

* "Oates to retire after 2015" 
    — The Daily Princetonian

The Secret Life of the Public Mind

Filed under: General — m759 @ 11:30 AM

(Continued from May 25)

Above: Scenes from "The Hard Problem" and "Fun Home."


Lughnasa Note

Filed under: General — m759 @ 11:00 AM

See Burning Patrick.

See as well Night of Lunacy.

Sunday, June 7, 2015


Filed under: General — m759 @ 2:20 PM


The above excerpt from a post of Aug. 3, 2008,
was suggested by the death date of the musician
at left in the photo below.


A related musical note:


Saturday, June 6, 2015


Filed under: General — m759 @ 10:09 AM

"I love those Bavarians."

Friday, June 5, 2015


Filed under: General,Geometry — Tags: — m759 @ 11:09 PM


See also Snow White Dance.

For those who prefer mathematics to narrative:

Object of Beauty.

Thursday, June 4, 2015


Filed under: General,Geometry — Tags: — m759 @ 7:47 PM

Princeton University's president on June 2, 2015 —

“Dream Audaciously,” Eisgruber Urges Graduates

Related news —

Film director Christopher Nolan at Princeton on June 1, 2015:

“In these graduation speeches, generally, you have the
speaker say something along the lines of, ‘You need to
chase your dreams,’ ” Nolan said. “But I’m not going to
say that because I don’t believe it. I don’t want you to
chase your dreams. I want you to chase your realities.
And I want to say: Don’t chase your realities at the
expense of your dreams, but as the foundation of your

IMAGE- Right 3-4-5 triangle with squares on sides and hypotenuse as base

"If you have built castles in the air, 
your work need not be lost;
that is where they should be.
Now put the foundations under them.”

— Henry David Thoreau


Filed under: General — m759 @ 12:00 PM

Related material — 

Spooks, Unholy and Holy :

Molly Bloom on Education

Filed under: General — m759 @ 10:18 AM

Two pieces by NPR education writer Molly Bloom:

See also yesterday's post on another NPR / Princeton education figure,
Keith Devlin:

An illustration (click for larger view with context):

Wednesday, June 3, 2015

Game Theory

Filed under: General — m759 @ 1:00 PM

From MAA columnist Keith Devlin yesterday :

"All very depressing. I fear that this state of affairs
will continue all the time US education continues to be
treated as a political football, with our nation’s children
and their teachers treated as pawns while various
groups fight political battles…."

For Soccer Moms

Filed under: General,Geometry — m759 @ 12:00 PM

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

Is it safe?"

      — Annals of Art Education : 
           Geometry and Death


Filed under: General — m759 @ 2:01 AM

See as well a note on "Joyce's Use of Kubla Khan"
and remarks from Jesus CollegeOxford , on 
"Seeking the Sirens' Song."

Tuesday, June 2, 2015

Point of View

Filed under: General — m759 @ 5:45 PM


Filed under: General — m759 @ 4:21 PM

Continued from August 5, 2002

See also Venn's Trinity ("diamonds and rust") and a Monday death.

Miniature Lowry

Filed under: General,Geometry — m759 @ 7:59 AM

A review describes the main character in the 1981 novel
The Knife in My Hands —

"His other peculiar characteristic is a fascination, developed during
his university years, with the Cabala and, like a miniature Lowry,*
he spends much of his time wandering drunkenly through its
labyrinthine mysteries."

AA motto:  "Principles before personalities."

* Related material:  Back to the Real.

Monday, June 1, 2015

Excited about Space

Filed under: General,Geometry — m759 @ 9:00 AM

Background — A search for the title in this journal.

Grothendieck was at times excited about space:

"The notion of space  is certainly one of the oldest
in mathematics. It is fundamental to our 'geometric'
perspective on the world, and has been so tacitly
for over two millenia. It's only over the course of the
19th century that this concept has, bit-by-bit, freed
itself from the tyranny of our immediate perceptions
(that is, one and the same as the 'space' that
surrounds us), and of its traditional theoretical
treatment (Euclidean), to attain to its present
dynamism and autonomy. In our own times it has
joined the ranks of those notions that are most freely
and universally employed in mathematics, and is
familiar, I would say, to every mathematician
without exception. It has become a concept of multiple
and varied aspects, of hundreds of thousands of faces…."

— fermentmagazine.org/rands/promenade12.html

An aspect not  so familiar:  Diamond Space.

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