Thursday, July 31, 2014

Zero System

Filed under: General,Geometry — Tags: , — m759 @ 6:11 PM

The title phrase (not to be confused with the film 'The Zero Theorem')
means, according to the Encyclopedia of Mathematics,
a null system , and

"A null system is also called null polarity,
a symplectic polarity or a symplectic correlation….
it is a polarity such that every point lies in its own
polar hyperplane."

See Reinhold Baer, "Null Systems in Projective Space,"
Bulletin of the American Mathematical Society, Vol. 51
(1945), pp. 903-906.

An example in PG(3,2), the projective 3-space over the
two-element Galois field GF(2):

IMAGE- The natural symplectic polarity in PG(3,2), illustrating a symplectic structure

See also the 10 AM ET post of Sunday, June 8, 2014, on this topic.

Wednesday, July 30, 2014

Photo Opportunities

Filed under: General — m759 @ 11:50 PM

I need a photo opportunity….” — Paul Simon

Ready for My Closeup

Filed under: General — Tags: , — m759 @ 1:20 PM

IMAGE- Jenny O'Hara sums up the Log24 'Aqua' theme

Tuesday, July 29, 2014

New Art Now

Filed under: General — Tags: , — m759 @ 11:45 PM

IMAGE- 'MADE IN LA,' 'NEW ART NOW,' with fountain from broken water main on Sunset Boulevard. Photo by Mike Meadows.

See also Aqua  in this journal.

The Craft

Filed under: General — m759 @ 3:28 PM

See “Charles Williams” + Witchcraft  in this journal.

Williams was one of the Inklings, a group of Christian
writers that included C. S. Lewis and J. R. R. Tolkien.

Darkness at Noon

Filed under: General — m759 @ 12:00 PM

See also Kurtz in this  journal.

Radio Days

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

In memoriam :

“Margot Adler, an iconic NPR correspondent and Wiccan priestess,
died on Monday July 28 from endometrial cancer at the age of 68.”

Huffington Post 07/28/2014 5:39 pm EDT

See also Log24 posts tagged NPR Magic.

Strict Form

Filed under: General — m759 @ 3:00 AM

Two items from this morning’s news:

IMAGE- 'Monk brought strict form of Zen Buddhism to U.S.'

Sasaki Roshi trained for years in a distinctively strict style of Zen
that he transplanted to the U.S. His students rose at 3 a.m.
for chanting, exhausting hours of meditation and one-on-one
meetings with their teacher, who would pose impenetrable
koans, riddles like: ‘When you see the flower, where is God?'”

For a mathematician’s example of an alleged Zen ideal, see the feast day
this year of St. Gerard Manley Hopkins.

Monday, July 28, 2014

Reductio Ad

Filed under: General — m759 @ 10:09 AM

Wikipedia article:

Reductionism is a philosophical position
which holds that a complex system is nothing but
the sum of its parts, and that an account of it can be
reduced to accounts of individual constituents.[1]

 1.  See e.g. Reductionism in the Interdisciplinary
Encyclopedia of Religion and Science.

 “The Website of the Interdisciplinary Encyclopedia on
Religion and Science
  is edited by the Advanced School
for Interdisciplinary Research (ADSIR), operating at the
Pontifical University of the Holy Cross, Rome….”

For a reductionist Holy Cross, see yesterday’s noon post.

Sunday, July 27, 2014

George Johnson’s Theory of Everything

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

George Johnson, a science writer, in The New York Times
on July 21, 2014:

“New particles may yet be discovered, and even new laws.
But it is almost taken for granted that everything
from physics to biology, including the mind,
ultimately comes down to four fundamental concepts:
matter and energy interacting in an arena of space and time.”

Related material:

Ite, missa est.

Saturday, July 26, 2014


Filed under: General — m759 @ 2:01 PM

Or:  Two Rivets Short of a Paradigm

Detail from an author photo:

IMAGE- 'House of Cards,' book on Bear Stearns, author photo, with two missing rivets

From rivet-rivet.net:

The philosopher Graham Harman is invested in re-thinking the autonomy of objects and is part of a movement called Object-Oriented-Philosophy (OOP). Harman wants to question the authority of the human being at the center of philosophy to allow the insertion of the inanimate into the equation. With the aim of proposing a philosophy of objects themselves, Harman puts the philosophies of Bruno Latour and Martin Heidegger in dialogue. Along these lines, Harman proposes an unconventional reading of the tool-being analysis made by Heidegger. For Harman, the term tool does not refer only to human-invented tools such as hammers or screwdrivers, but to any kind of being or thing such as a stone, dog or even a human. Further, he uses the terms objects, beings, tools and things, interchangeably, placing all on the same ontological footing. In short, there is no “outside world.”

Harman distinguishes two characteristics of the tool-being: invisibility and totality. Invisibility means that an object is not simply used but is: “[an object] form(s) a cosmic infrastructure of artificial and natural and perhaps supernatural forces, power by which our last action is besieged.” For instance, nails, wooden boards and plumbing tubes do their work to keep a house “running” silently (invisibly) without being viewed or noticed. Totality means that objects do not operate alone but always in relation to other objects–the smallest nail can, for example, not be disconnected from wooden boards, the plumbing tubes or from the cement. Depending on the point of view of each entity (nail, tube, etc.) a different reality will emerge within the house. For Harman, “to refer to an object as a tool-being is not to say that it is brutally exploited as a means to an end, but only that it is torn apart by the universal duel between the silent execution of an object’s reality and the glistening aura of its tangible surface.”

— From “The Action of Things,” an M.A. thesis at the Center for Curatorial Studies, Bard College, by Manuela Moscoso, May 2011, edited by Sarah Demeuse

From Wikipedia, a programming paradigm:

See also posts tagged Turing’s Cathedral, and Alley  Oop (Feb. 11, 2003).

Friday, July 25, 2014


Filed under: General — m759 @ 10:00 PM

In honor of Ace Greenberg, a major Wall Street player
who reportedly died today at 86:

See also this journal on the date of the above review,
March 9, 2009:  First and Last Things.

Zeppelin Concert

Filed under: General — m759 @ 9:00 PM

This post was suggested by…

“Oh, the humanity!” — Reporter’s comment

Actual Talent

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

“It’s going to be accomplished in steps,
this establishment of the Talented
in the scheme of things.”

— Anne McCaffrey,  Radcliffe ’47, To Ride Pegasus

From a review of the new film “Magic in the Moonlight”—

“Sophie seems to have some actual talent….
When Sophie meets Aunt Vanessa, she uncovers the spinster’s
long-ago love affair with a member of parliament. It’s eerie.”

Material that is related, if only in story space:

Magic for Jews

Filed under: General — Tags: — m759 @ 8:00 PM

(Continued from April 8, 2013.)

See Two Blocks Short of a Design (May 5, 2011).

Lying Rhyme?

Filed under: General — m759 @ 7:00 PM

“Just a lying rhyme for seven!” — Playwright Tom Stoppard on Heaven

Related material in this journal:  Lying Rhyme and Happy Birthday.

Magic in the Moonshine

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

“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”

— Joseph Conrad in Heart of Darkness

“By groping toward the light we are made to realize
how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118

Spectral evidence is a form of evidence
based upon dreams and visions.” —Wikipedia

See also Moonshine (May 15, 2014) and, from the date of the above
New York Times  item, two posts tagged Wunderkammer .

Related material: From the Spectrum program of the Mathematical
Association of America, some non-spectral evidence.

Thursday, July 24, 2014

Death in Mathmagic Land

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

(Continued from May 14, 2014.)

See also consciousness growth and the previous post.

Wednesday, July 23, 2014

Cold Wind

Filed under: General — m759 @ 2:40 PM

“Lord knows when the cold wind blows
it’ll turn your head around.”

— James Taylor, “Fire and Rain

Ricky Jay’s head turns around in “The Amazing Maleeni,”
episode 8 of season 7 of “The X-Files.”

“It was the middle of summer, but
the cold wind blew in full force.”

— David Kushner, Jonny Magic and the Card Shark Kids  

(Quoted here in House of Cards, June 11, 2014,
a post on magic, cards, and Multnomah County.)

Related material:

Recent posts on artist Otto Piene and the Whiskey Bar song,
as well as the following Multnomah County story from yesterday’s
online NY Times :

Sky Captain*

Filed under: General — m759 @ 1:00 AM

This is a post in memory of artist Otto Piene, who reportedly died
at 86 on Thursday, July 17, 2014, in Berlin.

*For the title, see Alternate Reality, a post of Saturday, July 19, 2014.
See also Piene and paradigms, and Paradigm Shift from the date of death
for Piene and Hartsfield.

Tuesday, July 22, 2014

The Zone

Filed under: General — m759 @ 4:26 PM

Wernher von Braun

See also The Zero Theorem in this journal.

Monday, July 21, 2014

Space-Cowboy Theology

Filed under: General — m759 @ 11:01 AM

Click on the above video for a theological remark by Clint Eastwood.

Sunday, July 20, 2014


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

“Tell it slant.” — Emily Dickinson

IMAGE- James Garner, NY Times obits

Sunday School

Filed under: General,Geometry — Tags: — m759 @ 9:29 AM

Paradigms of Geometry:
Continuous and Discrete

The discovery of the incommensurability of a square’s
side with its diagonal contrasted a well-known discrete 
length (the side) with a new continuous  length (the diagonal).
The figures below illustrate a shift in the other direction.
The essential structure of the continuous  configuration at
left is embodied in the discrete  unit cells of the square at right.

IMAGE- Concepts of Space: The Large Desargues Configuration, the Related 4x4 Square, and the 4x4x4 Cube

See Desargues via Galois (August 6, 2013).

Saturday, July 19, 2014

More or Less by Chance

Filed under: General — m759 @ 3:14 PM

From the date of Piene’s death —

See also Zero Theorem in this journal.

Zero Art

Filed under: General — m759 @ 12:00 PM

“Zero is a group of artists founded by Heinz Mack and
Otto Piene….” — Wikipedia

“The title ZERO was the result of months of search
and was finally found more or less by chance.
From the beginning we looked upon the term
not as an expression of nihilism – or a dada-like gag,
but as a word indicating a zone of silence and of
pure possibilities for a new beginning as at the
count-down when rockets take off-  zero is the
incommensurable zone in which the old state turns
into the new.”

Otto Piene, 1964

Alternate Reality

Filed under: General — m759 @ 11:30 AM

(Where Entertainment Is God , continued)

In memory of artist Otto Piene — a news item from last May
at the ZERO Foundation website on an exhibition that closes tomorrow —

Today is the opening of the exhibition ZERO — Zwischen Himmel und Erde
in Friedrichshafen. The Zeppelin Museum is showing wonderful artworks
all related to heaven and earth by various ZERO artists
such as Piene, Mack, Uecker, Klein, Luther, and Manzoni.
ZERO – Zwischen Himmel und Erde
Zeppelin Museum Friedrichshafen
15.05. – 20.07.2014


“Oh, show me the way to the next whiskey bar”
— Song lyric from previous post

“In a technologically advanced 1939, the zeppelin Hindenburg III
arrives in New York City, mooring atop the Empire State Building.”

— Wikipedia on the first scene of the 2004 film
Sky Captain and the World of Tomorrow

Friday, July 18, 2014

Breakfast Song

Filed under: General — m759 @ 11:30 PM

From The Thin White Duke:

“When I was living in my apartment in Berlin,
I would sing this at breakfast every morning.”

Oh, show me the way to the next whiskey bar
Oh, don’t ask why, no, don’t ask why
For we must find the next whiskey bar

Or if we don’t find the next whiskey bar
I tell you we must die, I tell you we must die
I tell you, I tell you, I tell you we must die

Read more:  David Bowie – Alabama Song Lyrics | MetroLyrics

See also…

“Wir trauern um Otto Piene, der unerwartet am 17.7 in Berlin gestorben ist.” 

In Memoriam

Filed under: General — m759 @ 2:01 PM

The Los Angeles Times  on entertainer Elaine Stritch,
who died yesterday (Thursday, July 17, 2014):

“She made few apologies in her career, describing herself as
a ‘Catholic, diabetic, alcoholic, pain in the ass.'” — David Ng

“Band of angels, lead me home.” — Song lyric


Scene from 3:10 to Yuma  (1957)

Related material:

Thursday, July 17, 2014

Paradigm Shift:

Filed under: General,Geometry — Tags: — m759 @ 11:01 AM

Continuous Euclidean space to discrete Galois space*

Euclidean space:

Point, line, square, cube, tesseract

From a page by Bryan Clair

Counting symmetries in Euclidean space:

Galois space:

Image-- examples from Galois affine geometry

Counting symmetries of  Galois space:
IMAGE - The Diamond Theorem

The reason for these graphic symmetries in affine Galois space —

symmetries of the underlying projective Galois space:

* For related remarks, see posts of May 26-28, 2012.

Wednesday, July 16, 2014

Christmas Ornaments

Filed under: General — Tags: — m759 @ 8:29 PM

Finite Jest

Filed under: General,Geometry — m759 @ 2:01 PM

(Continued from a private post of May 27, 2012)

Math Guy

Filed under: General — Tags: — m759 @ 12:26 AM

The title is taken from a post of July 11.

Tuesday, July 15, 2014

Photo Opportunity

Filed under: General,Geometry — Tags: — m759 @ 2:02 PM

"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

Pinocchio: 'Multiplane Technicolor'

"The theory of poetry, that is to say, the total of the theories of poetry, often seems to become in time a mystical theology or, more simply, a mystique. The reason for this must by now be clear. The reason is the same reason why the pictures in a museum of modern art often seem to become in time a mystical aesthetic, a prodigious search of appearance, as if to find a way of saying and of establishing that all things, whether below or above appearance, are one and that it is only through reality, in which they are reflected or, it may be, joined together, that we can reach them. Under such stress, reality changes from substance to subtlety, a subtlety in which it was natural for Cézanne to say: 'I see planes bestriding each other and sometimes straight lines seem to me to fall' or 'Planes in color…. The colored area where shimmer the souls of the planes, in the blaze of the kindled prism, the meeting of planes in the sunlight.' The conversion of our Lumpenwelt  went far beyond this. It was from the point of view of another subtlety that Klee could write: 'But he is one chosen that today comes near to the secret places where original law fosters all evolution. And what artist would not establish himself there where the organic center of all movement in time and space– which he calls the mind or heart of creation– determines every function.' Conceding that this sounds a bit like sacerdotal jargon, that is not too much to allow to those that have helped to create a new reality, a modern reality, since what has been created is nothing less.



— Wallace Stevens, Harvard College Class of 1901, "The Relations between Poetry and Painting" in The Necessary Angel   (Knopf, 1951)

For background on the planes illustrated above,
see Diamond theory in 1937.

Monday, July 14, 2014

Hexagram 14

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

in great measure

Related material:

Lead obituary in today’s online New York Times  and Los Angeles Times 

Maazel reportedly died on Sunday, July 13, 2014.

From a search in this journal for Iconic Notation,
a related image from August 14, 2010—


See also…


Geometry of the I Ching (Box Style)

Box-style I Ching , January 6, 1989

Conversations with an Empty Chair

Filed under: General — m759 @ 1:00 AM

Continued from August 20, 2013

In honor of Sam Peckinpah, the closing shot of his last film:

“Am I still on?” — Ending line of  The Osterman Weekend  (1983)

Sunday, July 13, 2014


Filed under: General — m759 @ 7:00 PM

Useful Princeton

Filed under: General — Tags: , — m759 @ 10:30 AM


"Numbers themselves are fictions, abstractions humans invented
to gain more control over the world." — Keith Devlin

Related material:

Saturday, July 12, 2014

Mars Package

Filed under: General,Geometry — Tags: — m759 @ 8:00 PM

For Ursula K. Le Guin

“For me it is a sign that we have fundamentally different
conceptions of the work of the intelligence services.”

— Germany’s Chancellor Angela Merkel in
theguardian.com, Saturday, 12 July 2014, 14.32 EDT

Another sort of service, thanks to Dan Brown and Tom Hanks:

Friday, July 11, 2014

Spiegel-Spiel des Gevierts

Filed under: Uncategorized — m759 @ 12:00 PM 

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


Filed under: General — m759 @ 12:00 PM

At the end of today’s previous post, Sequel,
there is a tribute to jazz great Charlie Haden,
who died yesterday.

A darker requiem, for another musical figure
who also died yesterday:

Related material:  Prequels to this post—
Willkommen  (June 27) and yesterday’s Back to 1955.


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

A sequel to the 1974 film
Thunderbolt and Lightfoot :

Contingent and Fluky

Some variations on a thunderbolt  theme:

Design Cube 2x2x2 for demonstrating Galois geometry

These variations also exemplify the larger
Verbum  theme:

Image-- Escher's 'Verbum'

Escher’s Verbum

Image-- Solomon's Cube

Solomon’s Cube

A search today for Verbum  in this journal yielded
a Georgetown 
University Chomskyite, Professor
David W. Lightfoot.

"Dr. Lightfoot writes mainly on syntactic theory,
language acquisition and historical change, which
he views as intimately related. He argues that
internal language change is contingent and fluky,
takes place in a sequence of bursts, and is best
viewed as the cumulative effect of changes in
individual grammars, where a grammar is a
'language organ' represented in a person's
mind/brain and embodying his/her language

Some syntactic work by another contingent and fluky author
is related to the visual patterns illustrated above.

See Tecumseh Fitch  in this journal.

For other material related to the large Verbum  cube,
see posts for the 18th birthday of Harry Potter.

That birthday was also the upload date for the following:

See esp. the comments section.

Friday, July 11, 2014

Thanks for having me on.

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

See also this  journal on April 12, 2014.

Mathematics Death

Filed under: General — m759 @ 1:00 PM

Click image below for the clearer original.

Spiegel-Spiel des Gevierts

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

See Cube Symbology.

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

Da hats ein Eck 

Back to 1955

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

Nick Fury takes the Tesseract…

… which travels back to 1955
(see The Call Girls, Nov. 3, 2013)…

IMAGE- Cover design by Robert Flynn of 'The Armed Vision,' a 1955 Vintage paperback by Stanley Edgar Hyman

Above: A 1955 cover design by Robert Flynn.

Images from December 1955…

… and a fictional image imagined in an earlier year:

Thursday, July 10, 2014

The Agency

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

Strike That Pose.


Filed under: General — m759 @ 12:00 PM

“Paradigm Talent Agency are supporting with casting.

Emperor  is described as a look at a debauched world
of wealth, sex, manipulation and treason.”

The Hollywood Reporter : “Cannes: Adrien Brody
to play Charles V in Lee Tamahori‘s ‘Emperor,'”
2:54 AM PST May 19, 2014, by Scott Roxborough

Related material from Santa Cruz, California:

On or about or between 11/22/2013 and 11/24/2013….

Related material from this journal:

Fiction,” a post of St. Cecilia’s Day, 11/22/2013.

See, too, yesterday’s noon post “Nowhere” and
the April 27-28, 2013, posts tagged Around the Clock.

Entertainment, 2005-2014

Filed under: General — m759 @ 11:00 AM

The Decline and Fall of Augustus Gibbons?

IMAGE- 'XXX: State of the Union'- description

IMAGE- Google News on Obama, theater, and Capitol

IMAGE- Capitol Theatre in 'XXX: State of the Union'

Wednesday, July 9, 2014


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

From this morning’s post:

“Beyond Noplace, far into wide Nowhere” — John Hollander

Vide  Le Guin Geometry.

Fashion Statements

Filed under: General — Tags: — m759 @ 3:28 AM

From Monday in this journal —

Related news this morning —

Anne Hollander, Scholar of Style, Dies at 83
By William Yardley in The New York Times ,
10:26 PM ET July 8, 2014

Anne Hollander, a historian who helped elevate
the study of art and dress by revealing the often striking
relationships between the two, died on Sunday at her home
in Manhattan. She was 83.

The cause was cancer, said her husband, the philosopher
Thomas Nagel.
. . . .
She received a degree in art history from Barnard College
in 1952. The next year she married the poet John Hollander.
Their marriage ended in divorce.

Related material from this journal last year —

“Be serious, because
The stone may have contempt
For too-familiar hands”

Adrienne Rich in “The Diamond Cutters” (1955)

Tuesday, July 8, 2014

Toward Freedom

Filed under: General — m759 @ 12:00 PM

A search for “Dark Fields of the Republic,”
an F. Scott Fitzgerald phrase mentioned in
the previous post, yields a book by that title.

“When does a life bend toward freedom?
grasp its direction?”
— Adrienne Rich on page 275 of
Later Poems Selected and New: 1971-2012

The book’s author, Adrienne Rich, died at 82 on
March 27, 2012. See that date in this journal.

See also the following:

The Diamond Cutters
by Adrienne Rich (1955)

However legendary,
The stone is still a stone,
though it had once resisted
The weight of Africa,
The hammer-blows of time
That wear to bits of rubble
The mountain and the pebble–
But not this coldest one.

Now, you intelligence
So late dredged up from dark
Upon whose smoky walls
Bison took fumbling form
Or flint was edged on flint–
Now, careful arriviste,
Delineate at will
Incisions in the ice.

Be serious, because
The stone may have contempt
For too-familiar hands,
And because all you do
Loses or gains by this:
Respect the adversary,
Meet it with tools refined,
And thereby set your price.

Be hard of heart, because
the stone must leave your hand.
Although you liberate
Pure and expensive fires
Fit to enamor Shebas,
Keep your desire apart.
Love only what you do,
And not what you have done.

Be proud, when you have set
The final spoke of flame
In that prismatic wheel,
And nothing’s left this day
Except to see the sun
Shine on the false and the true,
And know that Africa
will yield you more to do.

Monday, July 7, 2014

“‘Consider,’ said I…”

Filed under: General — m759 @ 8:28 PM

Roger Cooke in The History of Mathematics: A Brief Course
(2nd ed., Wiley-Interscience, 2005)—

“Like all numbers, the number four is bound to occur
in many contexts.”

— Ch. 1: “The Origin and Prehistory of Mathematics,”
Part 3, “Symbols,” footnote 1, page 11.

As is the number 382:

Click the above image for some related material.


“Once the students are taken in by the story, it will be
the instructor’s job to elaborate on the historical
calculations and proofs.”

— Gary S. Stoudt, Professor of Mathematics,
Indiana U. of Pennsylvania, review of Cooke’s book
at the Mathematical Association of America

Tricky Task

Filed under: General,Geometry — Tags: — m759 @ 12:25 PM

Roger Cooke in the Notices of the American
Mathematical Society 
, April 2010 —

Life on the Mathematical Frontier:
Legendary Figures and Their Adventures

“In most cases involving the modern era, there
are enough documents to produce a clear picture
of mathematical developments, and conjectures
for which there is no eyewitness or documentary
evidence are not needed. Even so, legends do
arise. (Who has not heard the ‘explanation’ of
the absence of a Nobel Prize in mathematics?)
The situation is different regarding ancient math-
ematics, however, especially in the period before
Plato’s students began to study geometry. Much
of the prehistory involves allegations about the
mysterious Pythagoreans, and sorting out what is
reliable from what is not is a tricky task.

In this article, I will begin with some modern
anecdotes that have become either legend or
folklore, then work backward in time to take a
more detailed look at Greek mathematics, especially
the Pythagoreans, Plato, and Euclid. I hope at the
very least that the reader finds my examples
amusing, that being one of my goals. If readers
also take away some new insight or mathematical
aphorisms, expressing a sense of the worthiness of
our calling, that would be even better.”

Aphorism:  “Triangles are square.” 

(American Mathematical Monthly , June-July 1984)

Insight:  The Square-Triangle Theorem.

Sunday, July 6, 2014

Game News

Filed under: General — m759 @ 3:00 PM

An essay linked to here on the date of Kuhn’s
death discussed the film “Good Will Hunting”:

“You can be sure that when an experienced movie director
like Gus Van Sant selects an establishing shot for the lead
character, he does so with considerable care, on the advice
of an expert.”

Establishing shots —

1. From a post of January 29, 2014:

2. From a post of April 12, 2011:


Parting shot —

From another post of January 29, 2014:

Note Watson‘s title advice.

Sunday School

Filed under: General,Geometry — m759 @ 7:00 AM

The date of a Vanity Fair  post on Hugh Jackman—
Sunday, June 8, 2014— suggests a review of the following
quotation from this journal on that date —

IMAGE- Gian-Carlo Rota on Desargues and a 'Zen ideal' of proof

Zen ideal —

Sticks and Stones

Filed under: General,Geometry — Tags: — m759 @ 6:29 AM

The title is from this morning’s previous post.

From a theater review in that post—

… “all flying edges and angles, a perpetually moving and hungry soul”

… “a formidably centered presence, the still counterpoint”

A more abstract perspective:

IMAGE- Concepts of Space

See also Desargues via Galois (August 6, 2013).

Where Entertainment Is God

Filed under: General — m759 @ 6:00 AM


And now for the musical!

From Ben Brantley’s July Fourth review of a British play —

“These two redefine the laws not just of chemistry but also of physics, with each coming across as both immovable object and irresistible force…. I was always aware of how ineffably, achingly attracted each was to the other, and of the diametrically opposed ways in which that attraction became flesh….

… His Tom is all flying edges and angles, a perpetually moving and hungry soul who never pauses in the pursuit of his appetites….

… this Kyra is a formidably centered presence, the still counterpoint to Tom’s charming, full-court-press animation….

… The friction and the possibilities of fusion between Kyra and Tom— who must be together and cannot be together— make ‘Skylight’ one of the most intelligently sentimental love stories of our time.”

“The friction and the possibilities of fusion” —

“Rubbin’ sticks and stones together
makes the sparks ignite…
Skyrockets in flight!”

Smart Art

Filed under: General — m759 @ 5:01 AM

“If you can bounce high, bounce for her too.”

– F. Scott Fitzgerald

IMAGE- Hugh Jackman bouncing, from Vanity Fair's Hollywood, June 8, 2014

Saturday, July 5, 2014

Core Curriculum Vocabulary:

Filed under: General — Tags: — m759 @ 5:01 PM

Separatrix  and  Mulligan

An image from this journal on September 16, 2013:

Carey Mulligan as a separatrix

IMAGE- Kipnis on Derrida's 'separatrix'


“A mulligan, in a game, happens when a player gets a second chance
to perform a certain move or action.” — Wikipedia

New York Times  obituary for Richard Mellon Scaife:

“He had the caricatured look of a jovial billionaire promoting ‘family values’
in America: a real-life Citizen Kane with red cheeks, white hair, blue eyes and
a wide smile for the cameras. Friends called him intuitive but not intellectual.
He told Vanity Fair  his favorite TV show was ‘The Simpsons,’ and his favorite
book was John O’Hara’s  Appointment in Samarra , about a rich young
Pennsylvanian bent on self-destruction.” — Robert D. McFadden

Click image below for some nuclear family values in memory of Scaife:

See also the previous post,
Core Curriculum.

Core Curriculum

Filed under: General — Tags: — m759 @ 2:01 PM

This post was suggested by reviews of the David Hare play “Skylight” at
The New York Times , at WorldSocialism.org, and at ChicagoCritic.com.

 Vide  Atoms in the Family , by Laura Fermi, a book I read in high school.

Jersey Girl

Filed under: General — m759 @ 3:33 AM

“Oh, pretty baby…” — Frankie Valli at A Capitol Fourth  last night.

Related material — Mira Sorvino in The Great Gatsby .

“Jersey girls are tough.” — Garfield.

Friday, July 4, 2014

The Hallowed Crucible

Filed under: General — m759 @ 8:00 PM


“A physicist who played a central role in developing
the theory of supersymmetry – often known as SUSY –
has died.”

Times Higher Education , July 3, 2014

In honor of the above physicist, Bruno Zumino,
here are two sets of Log24 posts:

Structure, May 2-4, 2013 (the dates of a physicists’ celebration
for Zumino’s 90th birthday)

Hallmark, June 21, 2014 (the date of Zumino’s death)


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

(Continued from yesterday’s noon post, from  “Block That Metaphor,”
and from “Mystery Box III: Inside, Outside“)

“In one corner are the advocates of the Common Core,
led by the Bill and Melinda Gates Foundation, which
helped develop the standards and has defended them
against efforts by some states to roll them back. In the
challengers’ corner, a lineup of foundations and
philanthropists…. Other funders in the opponents’ corner
read like a ‘who’s who’ of well-heeled conservative
philanthropists, including Pittsburgh media magnate
Richard Mellon Scaife….”

— “Meet the Funders Fighting the Common Core,”
from Inside Philanthropy , Feb. 10, 2014

Scaife reportedly died this morning.

Thursday, July 3, 2014

Gates and Windows:

Filed under: General — m759 @ 12:00 PM

The Los Alamos Vision

“Gates said his foundation is an advocate for the Common Core State Standards
that are part of the national curriculum and focus on mathematics and language
arts. He said learning ‘needs to be on the edge’ where it is challenging but not
too challenging, and that students receive the basics through Common Core.

‘It’s great to teach other things, but you need that foundation,’ he said.”

— T. S. Last in the Albuquerque Journal , 12:05 AM Tuesday, July 1, 2014

See also the previous post (Core Mathematics: Arrays) and, elsewhere
in this journal,

“Eight is a Gate.” — Mnemonic rhyme:

Core Mathematics: Arrays

Filed under: General — m759 @ 11:00 AM

Mathematics vulgarizer Keith Devlin on July 1
posted an essay on Common Core math education.

His essay was based on a New York Times story from June 29,
Math Under Common Core Has Even Parents Stumbling.”

An image from that story:

The Times  gave no source, other than the photographer’s name,
for the above image.  Devlin said,

“… the image of a Common Core math worksheet
the Times  chose to illustrate its story showed
a very sensible, and deep use of dot diagrams,
to understand structure in arithmetic.”  

Devlin seems ignorant of the fact that there is
no such thing as a “Common Core math worksheet.”
The Core is a set of standards without  worksheets
(one of its failings).

Neither the Times  nor whoever filled out the worksheet
nor Devlin seemed to grasp that the image the Times  used
shows some multiplication word problems that are more
advanced than the topic that Devlin called the
“deep use of dot diagrams to understand structure in arithmetic.”

This Core topic is as follows:

For some worksheets that are  (purportedly) relevant, see,
for instance…

in particular the worksheet

Some other exercises said to be related to standard 2.OA.C.4:


The Common Core of course fails to provide materials for parents
that are easily findable on the Web and that give relevant background
for the above second-grade topic.  It leaves this crucial task up to
individual states and school districts, as well as to private enterprise.
This, and not the parents’ ignorance described in  Devlin’s snide remarks,
accounts for the frustration that the Times  story describes.

Wednesday, July 2, 2014

An Apple for Devlin

Filed under: General — Tags: — m759 @ 2:56 PM

A columnist for the Mathematical Association of America,
Keith Devlin, yesterday posted an essay on Common Core
math education. A response:

IMAGE- Sign: 'Rotten to the Common Core'

Screenshot from a June 14, 2014, New York Times  video.

Tuesday, July 1, 2014

Dark Sarcasm

Filed under: General — m759 @ 8:09 PM

From Sidney Poitier, in honor of  the late Paul Mazursky:

Masonic coda:

“All in all…” — Pink Floyd

WW Revisited

Filed under: General — Tags: — m759 @ 7:00 PM

See also the “Cartoon Heroes” video by Aqua, and Aqua in the three previous posts.

By Which

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

IMAGE- Fake etymology for 'aqua'

Related material:   Ayn Sof  .

Latin Word:

Filed under: General — Tags: , — m759 @ 4:36 AM


Version 1:

(See the June 30 posts Toward Evening,
Joke, and High Concept.)

Version 2:

Version 3:

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