Log24

Saturday, June 30, 2012

Santa vs. the Obelisk

Filed under: General — Tags: — m759 @ 9:00 pm
 

The New York Times  this evening—

Horacio Coppola, Evocative 
Argentine Photographer,
Dies at 105

By DENISE GRADY

Published: June 30, 2012

Horacio Coppola, whose black-and-white photographs of the cafes, side streets and neon-lit boulevards of Buenos Aires in the 1930s, and of ordinary objects like a typewriter and a doll, introduced avant-garde photography to Argentina, died on June 18 in Buenos Aires. He was 105.  more >>

Related story—

Coppola photographed the new Obelisk of Buenos Aires in 1936.

"Where the Obelisco stands, a church dedicated to St. Nicholas
of Bari
 [or of Myra] was previously demolished."

Related images—

IMAGE- St. Nicholas of Bari (or Myra)
Wikipedia image

IMAGE- Obelisk of Buenos Aires, 1936

 "And if you should survive to a hundred and five,
   look at all you'll derive …" —Sinatra

Snares

Filed under: General — m759 @ 7:20 pm

"… to snare the spirits of mankind in nets of magic"

— The aim of the artist, according to Thomas Wolfe 

Related entertainment—

High-minded— Many Dimensions .

Not so high-minded— The Cosmic Cube .

Friday, June 29, 2012

Highgate

Filed under: General — m759 @ 11:30 pm

A non-Lyche* gate

Part of the Andrew Amesbury series Archway to Highgate.

* See Lyche gate  in this journal.

Happy feast of Saints Peter and Paul.

Pop

Filed under: General — m759 @ 10:31 pm

IMAGE- NY Times obit for Pop Art dealer Ivan Karp

Click image for some context. See also tonight's previous
post and Cliffs of Moher in this journal.

The Uploading (continued)*

Filed under: General — m759 @ 9:29 pm

It Must Be Abstract
It Must Change
It Must Give Pleasure

Parts of a poem by Wallace Stevens

“At that instant he saw, in one blaze of light, an image of unutterable conviction, the reason why the artist works and lives and has his being–the reward he seeks–the only reward he really cares about, without which there is nothing. It is to snare the spirits of mankind in nets of magic, to make his life prevail through his creation, to wreak the vision of his life, the rude and painful substance of his own experience, into the congruence of blazing and enchanted images that are themselves the core of life, the essential pattern whence all other things proceed, the kernel of eternity.”

– Thomas Wolfe, Of Time and the River

      Of Time and the River and the Frogs —

Video uploaded on Jan. 26, 2008, of talk, 'The Lively Kernel,' on object-oriented software

* This post's title refers to the above uploading date—  Jan. 26, 2008.

Thursday, June 28, 2012

Verbum*

Filed under: General — m759 @ 1:28 am

IMAGE- Link to word 'nikAya' in Sanskrit dictionary

  Click word for details.

  See also a related poetic meditation
  from one for whom…

  The world is not enough

* Continued.

Wednesday, June 27, 2012

Architectural Memorial

Filed under: General — m759 @ 1:00 am

In memory of two figures from tonight's NY Times  obituaries index
(not  Nora Ephron and Anthony J. Wiener)—

IMAGE- Obits for art historian Paula Hays Harper and architect Gerhard Kallmann

Tower Envy

Erin Burnett and Jenga blocks yesterday

Related material—

The Bible Puzzle Book

IMAGE- Tower of alphabet blocks

and the monumental treatise
by Leonard Shlain

The Alphabet Versus
the Goddess: The Conflict
Between Word and Image
.

Tuesday, June 26, 2012

Looking Deeply

Filed under: General,Geometry — Tags: , , , — m759 @ 3:48 pm

Last night's post on The Trinity of Max Black  and the use of
the term "eightfold" by the Mathematical Sciences Research Institute
at Berkeley suggest a review of an image from Sept. 22, 2011

IMAGE- Eightfold cube with detail of triskelion structure

The triskele  detail above echoes a Buddhist symbol found,
for instance, on the Internet in an ad for meditation supplies—

Related remarks

http://www.spencerart.ku.edu/about/dialogue/fdpt.shtml

Mary Dusenbury (Radcliffe '64)—

"… I think a textile, like any work of art, holds a tremendous amount of information— technical, material, historical, social, philosophical— but beyond that, many works of art are very beautiful and they speak to us on many layers— our intellect, our heart, our emotions. I've been going to museums since I was a very small child, thinking about what I saw, and going back to discover new things, to see pieces that spoke very deeply to me, to look at them again, and to find more and more meaning relevant to me in different ways and at different times of my life. …

… I think I would suggest to people that first of all they just look. Linger by pieces they find intriguing and beautiful, and look deeply. Then, if something interests them, we have tried to put a little information around the galleries to give a bit of history, a bit of context, for each piece. But the most important is just to look very deeply."

http://en.wikipedia.org/wiki/Nikaya_Buddhism

According to Robert Thurman, the term "Nikāya Buddhism" was coined by Professor Masatoshi Nagatomi of Harvard University, as a way to avoid the usage of the term Hinayana.[12] "Nikaya Buddhism" is thus an attempt to find a more neutral way of referring to Buddhists who follow one of the early Buddhist schools, and their practice.

12. The Emptiness That is Compassion:
An Essay on Buddhist Ethics, Robert A. F. Thurman, 1980
[Religious Traditions , Vol. 4 No. 2, Oct.-Nov. 1981, pp. 11-34]

http://dsal.uchicago.edu/cgi-bin/philologic/getobject.pl?c.2:1:6.pali

Nikāya [Sk. nikāya, ni+kāya]
collection ("body") assemblage, class, group

http://en.wiktionary.org/wiki/नि

Sanskrit etymology for नि (ni)

From Proto-Indo-European *ni …

Prefix

नि (ni)

  • down
  • back
  • in, into

http://www.rigpawiki.org/index.php?title=Kaya

Kaya (Skt. kāya སྐུ་, Tib. ku Wyl. sku ) —
the Sanskrit word kaya literally means ‘body’
but can also signify dimension, field or basis.

སྐུ། (Wyl. sku ) n. Pron.: ku

structure, existentiality, founding stratum ▷HVG KBEU

gestalt ▷HVG LD

Note that The Trinity of Max Black  is a picture of  a set
i.e., of an "assemblage, class, group."

Note also the reference above to the word "gestalt."

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

Walter Gropius

The Uploading (continued)

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

A companion to tonight’s earlier post, “Bright Black“—

IMAGE- 'Bernstein conducts Mahler 9th ending'

Above: Leonard Bernstein conducts the Mahler Ninth  ending.

Wikipedia

The work was premiered on June 26, 1912,
at the Vienna Festival by the Vienna Philharmonic Orchestra ….

Related material—

The above video was uploaded on January 19th, 2008.

Bright Black

Filed under: General,Geometry — Tags: , , — m759 @ 12:12 am

"'In the dictionary next to [the] word "bright," you should see Paula’s picture,' he said. 'She was super smart, with a sparkling wit. … She had a beautiful sense of style and color.'"

— Elinor J. Brecher in The Miami Herald  on June 8, quoting Palm Beach Post writer John Lantigua on the late art historian Paula Hays Harper

This  journal on the date of her death—

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

For some simpleminded commentary, see László Lovász on the cube space.

Some less simpleminded commentary—

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

Walter Gropius,

The Theory and
Organization of the
Bauhaus
  (1923)

Monday, June 25, 2012

Repetition

Filed under: General — m759 @ 4:23 pm

Remarks on Wallace Stevens's poem "Notes toward a Supreme Fiction"
from Michael Bryson

        The question of the eighth canto, "What am I to believe?", leads the way back from the heightened mysticism of the previous cantos toward a renewed consideration of the particular, the immanent, the local. Men and birds are considered in their activities, in their "Mere repetitions," and these repetitions (as well the repeating figures, the men and birds themselves) are each considered as "A thing final in itself and, therefore, good: / One of the vast repetitions final in / Themselves and, therefore, good". The poem comes to a Nietzschean affirmation of recurrence with its "merely going round is a final good," and its suggestion that the "man-hero" is "he that of repetition is most master".

Or the woman-hero…

IMAGE- Google search on 'repeating a repetition...'

From a Log24 post on June 1, 2004

“A tongue-in-cheek comment by programmers is worth thinking about: ‘Sometimes you have a programming problem and it seems like the best solution is to use regular expressions; now you have two problems.’  Regular expressions are amazingly powerful and deeply expressive. That is the very reason writing them is just as error-prone as writing any other complex programming code.”

– David Mertz, Learning to Use Regular Expressions

Happy birthday to the late Willard Van Orman Quine.

Design (continued)

Filed under: General — m759 @ 1:28 am

The New York Times  this morning reports the death
last Tuesday (June 19, 2012) in Boston
of Gerhard Kallman, a Brutalist architect
born in Berlin in 1915.

Some Log24 images from the date of his death

IMAGE- Log24 on June 19, 2012-Gropius and the North Face of Harvard Design

The above view shows the south side of Kirkland Street (at Quincy).

IMAGE- Map from http://www.map.harvard.edu/

A more appealing architectural image, from the other side
of Kirkland Street—

IMAGE- Adolphus Busch Hall, 29 Kirkland St., Cambridge, MA

Sunday, June 24, 2012

Summer Reading

Filed under: General — Tags: , — m759 @ 7:59 am

"What summer reading needs to be is purposeful."

New York Times  opinion column today

One of a set of posts titled "Summer Reading"
in this journal in 2007—

(Click for the original post)

IMAGE- Log24 post from August 21, 2007 - 'In the Details'

It was only in retrospect
that the silliness
became profound.

— Review of   
Faust in Copenhagen

Saturday, June 23, 2012

Les Incommensurables

Filed under: General,Geometry — Tags: — m759 @ 7:11 pm

"Ayant été conduit par des recherches particulières
à considérer les solutions incommensurables, je suis
parvenu à quelques résultats que je crois nouveaux."

— Évariste Galois, "Sur la Théorie des Nombres"

Soon to be a major motion picture!

Varieties of Disinformation

Filed under: General — m759 @ 2:01 am

"The Double-Cross System, or XX System, was a World War II
anti-espionage and deception operation of the British military
intelligence arm, MI5. Nazi agents in Britain… were captured,
turned themselves in or simply announced themselves and were
then used by the British to broadcast mainly disinformation to
their Nazi controllers." —Wikipedia

The XX —

IMAGE- 'Double Cross' flag and armband of Chaplin's 'Great Dictator'

The Double Cross of Fritz Leiber

Source: Rudolf Koch, The Book of Signs

Friday, June 22, 2012

Wand Work

Filed under: General — m759 @ 7:59 pm

The New York Times  today—
 "Reality and our perception of it are incommensurate…."

IMAGE- NY Times Wire item- 'Your Mind on Magic,' by Alex Stone

The above New York Times Wire  item from 3:35 PM ET today
mentions two topics touched on in today's earlier Log24 post
Bowling in Diagon Alley— magic (implied by the title) and
incommensurability. The connection in that post
between the two topics is the diagonal  of a square.

The  wire item shows one detail from a Times  illustration
of the linked article— a blindfolded woman.

Another detail from the same illustration—

IMAGE- Magician's hands on his wand, viewed as a diagonal of a square (or as Hexagram 14 in the box-style I Ching

Hands-on Wand Work

See also remarks on Magic in this journal and on Harry Potter.

I dislike both topics.

Bowling in Diagon Alley

Filed under: General,Geometry — Tags: , , — m759 @ 8:28 am

IMAGE- Josefine Lyche bowling, from her Facebook page

Josefine Lyche bowling (Facebook, June 12, 2012)

"Where Does Math Come From?"

A professor of philosophy in 1984 on Socrates's geometric proof in Plato's Meno  dialogue—

"These recondite issues matter because theories about mathematics have had a big place in Western philosophy. All kinds of outlandish doctrines have tried to explain the nature of mathematical knowledge. Socrates set the ball rolling…."

— Ian Hacking in The New York Review of Books , Feb. 16, 1984

The same professor introducing a new edition of Kuhn's Structure of Scientific Revolutions

"Paradigms Regained" (Los Angeles Review of Books , April 18, 2012)—

"That is the structure of scientific revolutions: normal science with a paradigm and a dedication to solving puzzles; followed by serious anomalies, which lead to a crisis; and finally resolution of the crisis by a new paradigm. Another famous word does not occur in the section titles: incommensurability. This is the idea that, in the course of a revolution and paradigm shift, the new ideas and assertions cannot be strictly compared to the old ones."

The Meno  proof involves inscribing diagonals  in squares. It is therefore related, albeit indirectly, to the classic Greek discovery that the diagonals of a square are incommensurable  with its sides. Hence the following discussion of incommensurability seems relevant.

IMAGE- Von Fritz in 1945 on incommensurability and the tetractys (10 as a triangular number)

See also von Fritz and incommensurability in The New York Times  (March 8, 2011).

For mathematical remarks related to the 10-dot triangular array of von Fritz, diagonals, and bowling, see this  journal on Nov. 8, 2011— "Stoned."

Thursday, June 21, 2012

A Kind of Cross*

Filed under: General — m759 @ 8:28 pm

In memory of art historian John Golding,
whose obituary appeared (finally) in
today’s online Telegraph

“His most recent book, Paths to the Absolute  (based on
his 1997 series of AW Mellon lectures in the Fine Arts
delivered at the National Gallery of Art, Washington DC),
addressed seven abstract artists — Mondrian, Kazimir
Malevich, Kandinsky, Pollock, Barnett Newman, Rothko
and Clyfford Still — and argued that abstract art was
not simply decorative but ‘heavily imbued with meaning
[and] with content’. The book won the Mitchell Prize for
the History of Art in 2002.”

Commentary on Golding’s obituary suggested by
this evening’s 4-digit New York Lottery number,
1051—

Post  1051 in this journal, together with a post from
April 1, 2012 found in a search for the digits  1051
in Log24. That search may serve as a review.

* A phrase from Gravity’s Rainbow

Lesson

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

From Tony Rothman's review of a 2006 book by
Siobhan Roberts

"The most engaging aspect of the book is its
chronicle of the war between geometry and algebra,
which pits Coxeter, geometry's David, against
Nicolas Bourbaki, algebra's Goliath."

The conclusion of Rothman's review—

"There is a lesson here."

Related material: a search for Galois geometry .

Lynch’s Wake

Filed under: General — m759 @ 5:01 am

IMAGE- Richard Lynch as Morgan Velosi in a 1979 TV series episode, 'Vegas in Space'

In memory of actor Richard Lynch, 76, who was found
dead at his California home on Tuesday, June 19, 2012

Lynch's last role was apparently as the Reverend John Hawthorne 
in the upcoming film The Lords of Salem .

(For a post on some related theological territory, see this journal
on the date Lynch's body was found.)

Wikipedia on the Salem film

Lords of Salem  is the third film from Haunted Films,*
the first two being Paranormal Activity  and Insidious .

For other tales of paranormal activity, see the Bible.

For a post in this journal from the Insidious  release date,
see Mathematics Awareness Month (April 1, 2011).

See, too, related discussions of Finnegans Wake  by 
James S. Atherton in The Books at the Wake

Pages 146-147 and 199-200.

* At IMDb, Haunted Movies. See also Blumhouse Productions.

Wednesday, June 20, 2012

Flash Job

Filed under: General — m759 @ 5:24 pm

IMAGE- NY Times obituaries with Andrew Sarris (film critic), Flash Crash, and Donna Summer

For those who prefer a cinematic approach…

"I was alone, I took a ride…"

— Sound track of the 2010 film Steve Jobs on Flash

Discouraging Words

Filed under: General — m759 @ 4:01 pm

A quote from The Oxford Murders , 
a novel by Guillermo Martinez

"Anyone can follow the path once it’s been marked out.
But there is of course an earlier moment of illumination, 
what you called the knight’s move. Only a few people, 
sometimes only one person in many centuries, 
manage to see the correct first step in the darkness.”

“A good try,” said Seldom.

Tuesday, June 19, 2012

Last Words

Filed under: General — m759 @ 1:00 pm

In memory of Victor Spinetti, who died today

"Oh wow, oh wow, oh wow."

— Courtesy of Steve Jobs and Aldous Huxley—

IMAGE- Aldous Huxley, 'The Doors of Perception,' first edition, UK

Design

Filed under: General — m759 @ 12:00 pm

The New York Times online front page last night

"Microsoft introduced its own tablet computer,
called Surface, illustrating the pressure
Apple's success has put on it to marry
software and hardware more tightly."

Commentary—

IMAGE- The Marriage of Heaven and Hell-- Swedenborg Chapel and the Harvard Graduate School of Design

Google Maps image

Related material

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

Walter Gropius,

The Theory and
Organization of the
Bauhaus
  (1923)

Update of Feb. 3, 2013:
See also The Perception of Doors in this journal.

Monday, June 18, 2012

Surface

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

"Poetry is an illumination of a surface…."

— Wallace Stevens

IMAGE- NY Times online front page, June 18, 2012- New Microsoft 'Surface' computer

Some poetic remarks related to a different surface, Klein's Quartic

This link between the Klein map κ and the Mathieu group M24
is a source of great delight to the author. Both objects were
found in the 1870s, but no connection between them was
known. Indeed, the class of maximal subgroups of M24
isomorphic to the simple group of order 168 (often known,
especially to geometers, as the Klein group; see Baker [8])
remained undiscovered until the 1960s. That generators for
the group can be read off so easily from the map is
immensely pleasing.

— R. T. Curtis, Symmetric Generation of Groups ,
     Cambridge University Press, 2007, page 39

Other poetic remarks related to the simple group of order 168—

Sunday, June 17, 2012

Congruent Group Actions

A Google search today yielded no results
for the phrase "congruent group actions."

Places where this phrase might prove useful include—

Saturday, June 16, 2012

Chiral Problem

Filed under: General,Geometry — Tags: , , , , — m759 @ 1:06 am

In memory of William S. Knowles, chiral chemist, who died last Wednesday (June 13, 2012)—

Detail from the Harvard Divinity School 1910 bookplate in yesterday morning's post

"ANDOVERHARVARD THEOLOGICAL LIBRARY"

Detail from Knowles's obituary in this  morning's New York Times

William Standish Knowles was born in Taunton, Mass., on June 1, 1917. He graduated a year early from the Berkshire School, a boarding school in western Massachusetts, and was admitted to Harvard. But after being strongly advised that he was not socially mature enough for college, he did a second senior year of high school at another boarding school, Phillips Academy in Andover, N.H.

Dr. Knowles graduated from Harvard with a bachelor’s degree in chemistry in 1939….

"This is the relativity problem: to fix objectively a class of equivalent coordinatizations and to ascertain the group of transformations S mediating between them."

— Hermann Weyl, The Classical Groups, Princeton University Press, 1946, p. 16

From Pilate Goes to Kindergarten

The six congruent quaternion actions illustrated above are based on the following coordinatization of the eightfold cube

Problem: Is there a different coordinatization
 that yields greater symmetry in the pictures of
quaternion group actions?

A paper written in a somewhat similar spirit—

"Chiral Tetrahedrons as Unitary Quaternions"—

ABSTRACT: Chiral tetrahedral molecules can be dealt [with] under the standard of quaternionic algebra. Specifically, non-commutativity of quaternions is a feature directly related to the chirality of molecules….

Friday, June 15, 2012

Elements

Filed under: General — m759 @ 3:00 am

In memory of Paul Sussman, author of archaeological 
mystery novels about Egypt—

IMAGE- Harvard Divinity School bookplate dated 1910

"… the sacred symbols of the cosmic elements
were hid away hard by the secrets of Osiris."  

Thrice-Great Hermes: Excerpts and Fragments ,
      by George Robert Stowe Mead,
     Theosophical Publishing Society, 1906   

Sussman's last novel, not yet published, was

The Labyrinth of Osiris .

Sussman, 45, reportedly died suddenly on May 31, 2012.

A perhaps relevant thought—

"A world of made
is not a world of born— pity poor flesh
and trees, poor stars and stones, but never this
fine specimen of hypermagical 
ultraomnipotence."

– e. e. cummings, 1944

Thursday, June 14, 2012

For Alicia*

Filed under: General — m759 @ 12:00 pm

The Fog of Law continues…

Egypt's highest court
declares parliament invalid

By the CNN Wire Staff
updated 11:36 AM EDT, Thu June 14, 2012

* See State of a Nation (Alicia Keys's birthday, 2012)

Archived Notes

Filed under: General,Geometry — m759 @ 4:00 am

Notes on Groups and Geometry, 1978-1986,
is now available at the Internet Archive.

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