Log24

Saturday, December 31, 2011

The Uploading

Filed under: General,Geometry — Tags: , — m759 @ 4:01 pm

(Continued)

"Design is how it works." — Steve Jobs

From a commercial test-prep firm in New York City—

http://www.log24.com/log/pix11C/111231-TeachingBlockDesign.jpg

From the date of the above uploading—

http://www.log24.com/log/pix11B/110708-ClarkeSm.jpg

After 759

m759 @ 8:48 AM
 

Childhood's End

From a New Year's Day, 2012, weblog post in New Zealand

http://www.log24.com/log/pix11C/111231-Pyramid-759.jpg

From Arthur C. Clarke, an early version of his 2001  monolith

"So they left a sentinel, one of millions they have scattered
throughout the Universe, watching over all worlds with the
promise of life. It was a beacon that down the ages has been
patiently signaling the fact that no one had discovered it.
Perhaps you understand now why that crystal pyramid was set…."

The numerical  (not crystal) pyramid above is related to a sort of
mathematical  block design known as a Steiner system.

For its relationship to the graphic  block design shown above,
see the webpages Block Designs and The Diamond Theorem
as well as The Galois Tesseract and R. T. Curtis's classic paper
"A New Combinatorial Approach to M24," which contains the following
version of the above numerical pyramid—

http://www.log24.com/log/pix11C/111231-LeechTable.jpg

For graphic  block designs, I prefer the blocks (and the parents)
of Grand Rapids to those of New York City.

For the barbed tail  of Clarke's "Angel" story, see the New Zealand post
of New Year's Day mentioned above.

Friday, December 30, 2011

Quaternions on a Cube

The following picture provides a new visual approach to
the order-8 quaternion  group's automorphisms.

IMAGE- Quaternion group acting on an eightfold cube

Click the above image for some context.

Here the cube is called "eightfold" because the eight vertices,
like the eight subcubes of a 2×2×2 cube,* are thought of as
independently movable. See The Eightfold Cube.

See also…

Related material: Robin Chapman and Karen E. Smith
on the quaternion group's automorphisms.

* See Margaret Wertheim's Christmas Eve remarks on mathematics
and the following eightfold cube from an institute she co-founded—

Froebel's third gift, the eightfold cube
© 2005 The Institute for Figuring

Photo by Norman Brosterman
fom the Inventing Kindergarten
exhibit at The Institute for Figuring
(co-founded by Margaret Wertheim)

Thursday, December 29, 2011

Crank Science

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

From Margaret Wertheim's "Outsider Physicists and the Oh-My-God Particle," New Scientist , Dec. 24, 2011—

For the past 18 years I have been collecting the works of what I have come to call "outsider physicists". I now have more than 100 such theories on my shelves. Most of them are single papers, but a number are fully fledged books, often filled with equations and technical diagrams (though I do have one that is couched as a series of poems and another that is written as a fairy tale)….

The mainstream science world has a way of dealing with people like this— dismiss them as cranks and dump their letters in the bin. While I do not believe any outsider I have encountered has done any work that challenges mainstream physics, I have come to believe that they should not be so summarily ignored.

Consider the sheer numbers. Outsider physicists have their own organisation, the Natural Philosophy Alliance, whose database lists more than 2100 theorists, 5800 papers and over 1300 books worldwide. They have annual conferences, with this year's proceedings running to 735 pages. In the time I have been observing the organisation, the NPA has grown from a tiny seed whose founder photocopied his newsletter onto pastel-coloured paper to a thriving international association with video-streamed events.

The NPA's website tells us that the group is devoted "to broad-ranging, fully open-minded criticism, at the most fundamental levels, of the often irrational and unrealistic doctrines of modern physics and cosmology; and to the ultimate replacement of these doctrines by much sounder ideas".

Very little unites this disparate group of amateurs— there are as many theories as members— except for a common belief that "something is drastically wrong in contemporary physics and cosmology, and that a new spirit of open-mindedness is desperately needed". They are unanimous in the view that mainstream physics has been hijacked by a kind of priestly caste who speak a secret language— in other words, mathematics— that is incomprehensible to most human beings. They claim that the natural world speaks a language which all of us can, or should be able to, understand.

"…a secret language— in other words, mathematics— that is incomprehensible…."

For instance, the "secret language" of Dr. Garret Sobczyk?

See a brief paper by Sobczyk in the NPA Proceedings  described above.

See also Sobczyk in the February 2012 Notices of the American Mathematical Society

"Conformal Mappings in Geometric Algebra"—

http://www.log24.com/log/pix11C/111229-AMS_Notices.jpg

This AMS article, together with Sobczyk's list of previous publications,
indicates that, despite his appearance in the NPA Proceedings , he is definitely not  a crank.

Unfortunately, publication in the Notices  does not by itself guarantee respectability.

For an example, see the Mathematics and Narrative post of Dec. 13, 2011.

The Poetry of Universals

Filed under: General — m759 @ 2:26 am

Continued from All Souls Day, 2011

Professor Sir Michael Dummett,
born June 27 1925, died December 27 2011

See also this journal on the day of Dummett's death.

Wednesday, December 28, 2011

The Program

Filed under: General — m759 @ 11:30 am
  • Helen Frankenthaler's obituary in yesterday's online New York Times
  • A 1975 review of Tom Wolfe's The Painted Word
  • In memory of the reviewer, a post from the date of her death

See also yesterday morning's Getting with the Program.

Tuesday, December 27, 2011

Getting with the Program

Filed under: General,Geometry — Tags: , , , , — m759 @ 4:28 am

Stanley Fish in The New York Times  yesterday evening—

IMAGE- Stanley Fish, 'The Old Order Changeth,' Boxing Day, 2011

From the MLA program Fish discussed—

IMAGE- MLA session, 'Defining Form,' chaired by Colleen Rosenfeld of Pomona College

Above: An MLA session, “Defining Form,” led
by Colleen Rosenfeld of Pomona College

An example from Pomona College in 1968—

IMAGE- Triangular models of small affine and projective finite geometries

The same underlying geometries (i.e., “form”) may be modeled with
a square figure and a cubical figure rather than with the triangular
figures of 1968 shown above.

See Finite Geometry of the Square and Cube.

Those who prefer a literary approach to form may enjoy the recent post As Is.
(For some context, see Game of Shadows.)

Monday, December 26, 2011

Logos

Filed under: General,Geometry — m759 @ 5:09 pm

IMAGE- Logo for math.stackexchange.com

IMAGE- 'Affine Groups on Small Binary Spaces,' illustration

  Click images for context.

It Must Be Said

Filed under: General — Tags: — m759 @ 2:00 am

Bono and Taymor at 'Spider-Man'

Esquire  on Julie Taymor

Taymor, it must be said, is a beautiful woman. Her face at fifty-eight has sharp, expressive features— she actually frowns when she's unhappy, and her eyes seem to light up when she laughs— and she still has the long black hair she had when she was a young actress, "a very pretty eighteen-year-old," as she puts it, who "didn't want to play Cinderella or Snow White. I wanted to be the Wicked Witch of the West."

— Richard Dorment, article dated November 14, 2011

Ay que bonito es volar

Sunday, December 25, 2011

Frage

Filed under: General — Tags: — m759 @ 3:59 pm

"Woher dieser Sprung von Endlichen zum Unendlichen? "

— Wittgenstein, Zettel , § 273

AntwortAccomplished in Steps and For 34th Street.

See also Boundary Method.

Xmas Ornaments

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

Yesterday's "diamond globe" post linked to a picture by Prof. Mike Zabrocki
of York University in Toronto. Here is the picture itself—
IMAGE- Permutahedron 'diamond globe' by Mike Zabrocki

Some related material from 2004—

http://www.log24.com/log/pix11C/111225-ClubInfinity.jpg

2003-2004 Events:

Prof Talk: Thursday, April 1st, from 2:30pm to 3:30pm in North Ross 638.

Speaker:  Prof. Mike Zabrocki
Title:  "Gems of Algebra: The Secret Life of the Symmetric Group"

Prof. Zabrocki's talk was enjoyable and accessible.  One of the notable aspects of the talk was that Prof. Zabrocki presented some open problems related to the topics he was speaking about.  Unfortunately, there were some technical problems that resulted in some images not appearing in Prof. Zabrocki's PowerPoint presentation, but Prof. Zabrocki easily made up for the problem by some work at the chalk board.  Please feel free to take a look at Prof. Zabrocki's PowerPoint presentation, as well as the pictures of the permutahedron for n=4 and the permutahedron for n=5.

Some slides from the talk—

http://www.log24.com/log/pix11C/111225-GemsOfAlgebra-Zabrocki.jpg

http://www.log24.com/log/pix11C/111225-Zabrocki-S4slide.jpg

http://www.log24.com/log/pix11C/111225-Zabrocki-S5slide.jpg

Detail from the slides—

IMAGE- Diamond ornament from slides by Mike Zabrocki

A less academic ornament, from this journal on the date
of the Zabrocki talk—

IMAGE- Rainbow on record label of hymns by Loretta Lynn

Click image for context.

Saturday, December 24, 2011

Stevens for Christmas Eve

Filed under: General — Tags: — m759 @ 11:30 am

A search for Wallace Stevens ebooks
today at Alibris yielded 24 results.

I selected one to order—

Wallace Stevens: A World of Transforming Shapes .

From that book—

(Click to enlarge)

http://www.log24.com/log/pix11C/111224-Perlis-500w.jpg

Stevens's phrase "diamond globe" in this context suggests an image search
on permutahedron + stone + log24 .

For the results of that search (2 MB), click here.

Some background for the phrase used in the search—

See a photo by Mike Zabrocki from June 4, 2011.

See also a Log24 image and a generalization of the underlying structure.

Friday, December 23, 2011

About the People

Filed under: General — Tags: — m759 @ 2:02 pm

(Continued from April 5, 2009)

"Thought can as it were fly , it doesn't have to walk."

— Ludwig Wittgenstein, Zettel , fragment 273

See also a related song.

Mary Chapin Carpenter, 'Why Walk When You Can Fly?'

Take a Pew

Filed under: General — m759 @ 5:01 am

From Margaret Soltan, a brief Xmas story.

I, too, like Perkins.

Art Wars

Filed under: General — m759 @ 3:24 am

The reference in yesterday morning's post "The Speed of Thought"
to an art critic's webpage on what she calls "psychic art"
suggests an illustration of another sort of psychic art, from
the oeuvre  of the late film director Don Sharp

IMAGE- Heirloom Cross from 'Psychomania'

See also a Log24 post, "Go Ask Alice," from the above video's uploading date.

Star Quality

Filed under: General — Tags: — m759 @ 1:09 am

(Continued)

IMAGE- NYT obits: Jacob Goldman, Doe Avedon, Don Sharp

"The horror! The horror!"

IMAGE- Alyssa Milano in 'Embrace of the Vampire'

Thursday, December 22, 2011

The Speed of Thought

Filed under: General — Tags: — m759 @ 4:18 am

"As if an apparently meaningless frame of reference,
traveling at the speed of thought, suddenly became relevant…."

— Stephen Rachman, "Lost in Translation"

Unclean Frame

IMAGE- The perception of doors in the film 'Sunshine Cleaning'

Detail from the film "Sunshine Cleaning"

Clean Frame

IMAGE- Part of 'Grids, You Say?' installation by Josefine Lyche

See also Psychic Art and "The Speed of Thought."

For another form of psychic art, see Game of Shadows.

Wednesday, December 21, 2011

The Purloined Diamond

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

Stephen Rachman on "The Purloined Letter"

"Poe’s tale established the modern paradigm (which, as it happens, Dashiell Hammett and John Huston followed) of the hermetically sealed fiction of cross and double-cross in which spirited antagonists pursue a prized artifact of dubious or uncertain value."

For one such artifact, the diamond rhombus formed by two equilateral triangles, see Osserman in this journal.

Some background on the artifact is given by John T. Irwin's essay "Mysteries We Reread…" reprinted in Detecting Texts: The Metaphysical Detective Story from Poe to Postmodernism .

Related material—

Mathematics vulgarizer Robert Osserman died on St. Andrew's Day, 2011.

A Rhetorical Question

Osserman in 2004

"The past decade has been an exciting one in the world of mathematics and a fabulous one (in the literal sense) for mathematicians, who saw themselves transformed from the frogs of fairy tales— regarded with a who-would-want-to-kiss-that aversion, when they were noticed at all— into fascinating royalty, portrayed on stage and screen….

Who bestowed the magic kiss on the mathematical frog?"

A Rhetorical Answer

http://www.log24.com/log/pix11C/111130-SunshineCleaning.jpg

Above: Amy Adams in "Sunshine Cleaning"

Tuesday, December 20, 2011

St. Emil’s Day

Filed under: General — m759 @ 8:48 am

For Emil Artin

“And we may see
the meadow in December,
icy white and crystalline.”

— Johnny Mercer, “Midnight Sun”

Monday, December 19, 2011

X Marks a Spot

Filed under: General — Tags: , , — m759 @ 11:30 am

(Where Entertainment is God, continued)

IMAGE- LA Times on Korean transition and Galaxy Nexus

Related material— The Nexus (Jan. 8, 2010).

That post contains the following—

"A Nexus is a place equidistant from the five elements as explained in the TV series Charmed . Using this as a point of reference, it is quite possible that there could be several Nexus points of power scattered throughout the world, though rare."

Nexus (Charmed) in Wikipedia

Happy birthday, Alyssa Milano.

Bumped

Filed under: General — Tags: , — m759 @ 1:22 am

http://www.log24.com/log/pix11C/111219-Bumped-NYTobits1AM.jpg


Related material— Hitchens on Heaven—

http://www.log24.com/log/pix11C/111219-HitchensOnHeaven.jpg

Sunday, December 18, 2011

Dateline Seoul

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

For those who prefer their news straight

http://www.log24.com/log/pix11C/111218-SeoulNews.jpg

Happy birthday, Steven Spielberg.

Transition

Filed under: General — Tags: — m759 @ 7:25 pm

"Vaclav Havel oversaw a bumpy transition…." —New York Times  today

"Is it over— or is it just beginning?" —"All About Eve"

Vets Club

Filed under: General — Tags: — m759 @ 1:13 pm

Continued from August 16

http://www.log24.com/log11/saved/111218-NYTobits102PM-360w.jpg

Closure

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

Christopher Hitchens on J. K. Rowling—

“We must not let in daylight upon magic,” as Walter Bagehot remarked in another connection, and the wish to have everything clarified is eventually self-defeating in its own terms. In her correct determination to bring down the curtain decisively, Rowling has gone further than she should, and given us not so much a happy ending as an ending which suggests that evil has actually been defeated (you should forgive the expression) for good.

Greater authors— Arthur Conan Doyle most notably— have been in the same dilemma when seeking closure. And, like Conan Doyle, Rowling has won imperishable renown for giving us an identifiable hero and a fine caricature of a villain, and for making a fictional bit of King’s Cross station as luminous as a certain address on nearby Baker Street. It is given to few authors to create a world apart, and to populate it as well as illustrate it in the mind.

"A fictional bit of King's Cross Station"—

Throughout the series, Harry has traveled to King's Cross Station, either to depart for Hogwarts or return to London on the Hogwarts Express. The station has always symbolized the crossroad between the Muggle world and the Wizarding realm and Harry's constant shuffling between, and his conflict with, the two extremes. As Harry now finds himself at a transition point between life and death, it is purely to be expected that he would see it within his own mind as a simulacrum of that station. And though Dumbledore assures Harry that he (Harry) is not actually dead, it seems Harry can choose that option if he so wishes. Harry has literally and figuratively been stripped bare, and must decide either to board a train that will transport him to the "other side", or return to the living world…. — Wikibooks.org

Saturday, December 17, 2011

Lining the Train

Filed under: General — Tags: — m759 @ 7:30 pm

IMAGE- Wilfred Owen, 'faces grimly gay' in 'The Send-Off'

See also Thursday morning's "As Is."

Friday, December 16, 2011

Take Your Pick

Filed under: General — Tags: , , — m759 @ 1:31 pm

Two recent quotes in this journal—

December 14

"Hoban once ruefully observed that death would be a good career move:
'People will say, "Yes, Hoban, he seems an interesting writer, let’s look at him again."'"

December 15

"This poem is concerned with language on a very plain level."

— "Paradoxes and Oxymorons" in Shadow Train

Michael Kinsley in The New York Times  on Sunday, May 13, 2007

Kinsley on the career of Christopher Hitchens—

Interesting! …. Interesting!! …. Interesting!!! …. Interesting!!!!

Where was this train heading?

Kinsley on a book in which Hitchens …

… pronounces the movie “It’s a Wonderful Life” “engaging but abysmal” (a typical Hitchens aside: cleverly paradoxical? witlessly oxymoronic? take your pick)….

Midnight in LA

Filed under: General — Tags: , — m759 @ 3:00 am

The Sherlock Holmes film "A Game of Shadows"
is apparently showing around midnight
(12:00 AM PST, 3:00 AM EST) tonight in LA
at the ArcLight Hollywood.

IMAGE- A Jesuit on words and shadows

This passage was quoted here on Sunday, November 27, this year.

For other words related to that date, see tonight's 11:02 post.

The serpent's eyes shine
As he wraps around the vine
In the Garden of Allah

— Don Henley

Friday

Filed under: General — Tags: , — m759 @ 2:56 am

"Just the facts." — Attributed to Joe Friday

A search in this journal in honor of the late
Christopher Hitchens yields links to two of his reviews—
a review of the author of The Girl with the Dragon Tattoo  and
a review of a work by a rather different author—

Harry Potter and the Deathly Hallows .

Thursday, December 15, 2011

Logic for Jews

Filed under: General — Tags: , — m759 @ 11:02 pm

New York Daily News , 2:55 PM EST today—

Joe Simon, who dreamed up the star-spangled super hero Captain America while riding on a Manhattan bus during the early days of World War II, died Thursday [Dec. 15] after an undisclosed illness. He was 98.

New York Times , about 10 PM EST today—

Joe Simon, a writer, editor and illustrator of comic books who was a co-creator of the superhero Captain America, conceived out of a patriotic impulse as war was roiling Europe, died on Wednesday [Dec. 14] at his home in Manhattan. He was 98.

The discrepancy is perhaps due to initial reports that quoted Simon's family as saying he died "Wednesday night."

Simon was a co-creator of Captain America. For some background on Simon and a photo with his fellow comic artist Jerry Robinson, co-creator of The Joker, see a Washington Post article from this afternoon. Robinson died on either Wednesday, Dec. 7, or Thursday, Dec. 8, 2011.

Los Angeles Times

Jerry Robinson, a pioneer in the early days of Batman comics and a key force in the creation of Robin the Boy Wonder; the Joker;  Bruce Wayne’s butler, Alfred; and Two-Face, died Wednesday afternoon [Dec. 7] in New York City. He was 89.

CNN

Cartoonist Jerry Robinson, who worked on the earliest Batman comics and claimed credit for creating the super-villain The Joker, died Thursday [Dec. 8] at the age of 89, his family confirmed.

A picture by Robinson—

IMAGE- The Joker with calendar page for November 27

The Joker in January 1943
with a Nov. 27 calendar page

A non-joke from a more recent November 27—

Simplex Sigillum Veri

"Oh, what a tangled web we weave…"

As Is

Filed under: General,Geometry — Tags: , — m759 @ 2:56 am

What "As" Is —

Image- The Three-Point Line: A Finite Projective Geometry

"This poem is concerned with language on a very plain level."

Shadow Train

"You got to ride it like you find it."
Song lyric

Related entertainment —

IMAGE- Sherlock Holmes: A Game of Shadows

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