Log24

Monday, March 31, 2014

Art Wars for Coxeter

Filed under: General,Geometry — m759 @ 10:30 pm

Geometer H. S. M. Coxeter died on this date in 2003.

This evening’s daily number from the Keystone state:   822.

IMAGE- Review of 'Geometry of the I Ching'

The Story of Noam

Filed under: General — m759 @ 1:00 pm

On The Blazing World , a new novel —

“Hustvedt uses fragment-stories, frame narratives, and unreliable
narrators to talk about the ways in which brilliant women across
history have been silenced, forgotten, and appropriated by men.
This is a narrative suspicious of narratives, a story that
demonstrates how damaging stories can be.”

— Review by Amal El-Mohtar

The protagonist of Hustvedt’s novel is named Harriet Burden.

A midrash for Darren Aronofsky, director of The Fountain*  and Noah

Part I: The Burden of Proof —

Part II: The Story of Noam

* See The Fountain  in “The Story Theory of Truth,” Columbus Day, 2013

For Women’s History Month

Filed under: General — Tags: — m759 @ 4:30 am

“…what he was trying to get across was not that he was the Soldier of a Power that was fighting across all of time to change history, but simply that we men were creatures with imaginations and it was our highest duty to try to tell what it was really like to live in other times and places and bodies. Once he said to me, ‘The growth of consciousness is everything… the seed of awareness sending its roots across space and time. But it can grow in so many ways, spinning its web from mind to mind like the spider or burrowing into the unconscious darkness like the snake. The biggest wars are the wars of thought.'”

— Fritz Leiber, “The Oldest Soldier” (1960)

“And that’s the snake.” — Jill Clayburgh in “It’s My Turn” (1980)

Backstory — “For Daedalus,” May 26, 2009.

For a more up-to-date look at Burroway, see a
Chicago Tribune  story of March 21, 2014.

Sunday, March 30, 2014

Brightness at Noon

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

(Continued)

Princeton’s Sermon

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

IMAGE- Sermon topic 'One Thing Do I Know'

Click image for the backstory.

The sermon itself is not yet on line.

Perhaps the following will help.

IMAGE- Search for 'One thing do I know'

Josefine’s Sunday School

Filed under: General — m759 @ 9:30 am

Two timely images for Oslo artist Josefine Lyche —

Backstory:  Searches for “Blazing World” and for “Josefine + Lyche + Pink
in this journal.

The image above is by a man, Brian Stauffer. Related material:

An image from today’s NY Times Sunday Book Review —

This  image is by a non-man, Kelsey Dake.

The first image above, since it combines Lyche’s enthusiasm for the color
pink and (apparently) for fishnet stockings, seems to me the better picture,
despite its prurient nature.

(Updated through 10 AM ET)

Saturday, March 29, 2014

Sequence (continued)

Filed under: General — m759 @ 11:29 pm

Click the above for further details.

An elegy adapted from “Sequence,” by Theodore Roethke —

“She listened when light sang.”

Perhaps such a song was sung
on Shakespeare’s (and Nabokov’s) birthday, 2009.

Butcher’s Clay

Filed under: General — m759 @ 9:14 pm

Friday evening’s post Musement dealt with Iris Murdoch’s
phrase “the clean crystalline work.”

For dirty bloody work see the life of Don Reitz, who
reportedly died at 84 on March 19.

Five Ninths

Filed under: General — m759 @ 4:48 pm

“For every kind of vampire, there is a kind of cross.” — Gravity’s Rainbow

“I don’t write exclusively on Jewish themes or about Jewish characters.
My collection of short stories, Strange Attractors , contained nine pieces,
five of which were, to some degree, Jewish, and this ratio has provided me
with a precise mathematical answer (for me, still the best kind of answer)
to the question of whether I am a Jewish writer. I am five-ninths a Jewish writer.”

— Rebecca Goldstein, “Against Logic

Related material:  The cross of five ninths, from Epiphany 2006.

Friday, March 28, 2014

Musement

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

(The title is from a work by Charles Sanders Peirce.)

For LYNX 760 —

IMAGE- Image search for 'the clean crystalline work'

For more beauty and strangeness, see Strange McEntire.

Chinese Rune

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

"The Geometry of the I Ching introduces something called the Cullinane sequence
for the hexagrams, and uses a notation based on the four sides and two diagonals
in a square to indicate the yin and yang lines. The resulting rune-like symbols
are intriguing…."

— Andreas Schöter's  I Ching  home page

Actually, the geometry is a bit deeper than the rune-like symbols.

" 'Harriet Burden has been really great to me,'
Rune says in an interview, 'not only as a collector
of my work but as a true supporter. And I think of her
as a muse for the project … ' "

— In The Blazing World , the artist known as Rune

Nabokovian

Filed under: General — Tags: — m759 @ 11:16 am

"Constructed as a Nabokovian cat’s cradle, the novel
purports to be the work of a professor of aesthetics…."

— Fernanda Eberstadt in a book review now online

Blazing Thule

Filed under: General — Tags: , , — m759 @ 10:20 am

The title is suggested by a new novel (see cover below),
and by an unwritten book by Nabokov —

Siri Hustvedt, 'The Blazing World'.

Related material:

Art School Confidential

Filed under: General — Tags: — m759 @ 4:01 am

For Reba McEntire on her birthday:
Complex Reflection and Naturalized Epistemology.

Symbol

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

For Josefine Lyche, by fellow artist  Nuno Borges:

Related material:

Recent remarks by Lyche and
a recurring image from this journal.

Thursday, March 27, 2014

Symbol Game

Filed under: General — m759 @ 10:00 pm

The following is from a web page by
Andreas Schöter, developer of  The Symbol Game.

Building the Narrative

The game can simply be played as a competitive board game,
simply trying to accumulate the most points. However,
to play this way is to miss the main purpose of the Symbol Game.

The author’s page on the game itself —

(This post was suggested by this afternoon’s post  Diamond Space.)

Strategist

Filed under: General — m759 @ 3:27 pm

Diamond Space

Filed under: General,Geometry — Tags: , , , , — m759 @ 2:28 pm

(Continued)

Definition:  A diamond space  — informal phrase denoting
a subspace of AG(6, 2), the six-dimensional affine space
over the two-element Galois field.

The reason for the name:

IMAGE - The Diamond Theorem, including the 4x4x4 'Solomon's Cube' case

Click to enlarge.

Wednesday, March 26, 2014

Her

Filed under: General — m759 @ 3:48 pm

(Continued)

The front page of The New York Times Book Review 
for next Sunday (March 30, 2014) is devoted to a
review of Siri Hustvedt’s new novel  The Blazing World .
See two posts from St. Patrick’s day:  Her and Narratives.

The review’s author is Fernanda Eberstadt.

The review is titled “Outsider Art.”
See also that phrase in this journal.

Sinai Prize

Filed under: General — m759 @ 1:00 pm

Yakov G. Sinai today won the 2014 Abel Prize.
Earlier, he won the Wolf Prize.

Wolf Foundation press release quoted in the March 1997
Notices of the American Mathematical Society —

On Sinai —

“He is generally recognized as the world leader
in the mathematics of statistical physics.”

This afternoon’s New York Lottery:  813 and 1857.

Unrelated remarks:  813 and  1857.

Abel Prize 2014

Filed under: General — m759 @ 12:12 pm

IMAGE- AMS news, March 26, 2014

Grid

Filed under: General — m759 @ 12:00 pm

For some context, see Holy Field
and Krauss Grid.

Tuesday, March 25, 2014

Narrative and Mathematics

Filed under: General — Tags: , — m759 @ 1:01 am

(Continued)

"Richard Hughes’s celebrated short novel is
a masterpiece of concentrated narrative."

New York Review of Books  on
     A High Wind in Jamaica

As perhaps were, in their way, parts of the life
of the late Patrice Wymore Flynn, who reportedly
died at 87 on Saturday.

Deep backstory:  See Colony of Santiago (Jamaica).

For the "mathematics" part of this post's title, see
Saturday's Log24 post on Kummer-surface terms
and a post of September 23, 2012.

Sunday, March 23, 2014

Memorial Word

Filed under: General — m759 @ 10:30 pm

In memory of a Spanish statesman
who died today at 81… Santiago.

Saturday, March 22, 2014

Two Types of Symmetry

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

Mathematical

IMAGE- Weber hexads in 'Kummer's Quartic Surface'

IMAGE- Ohashi on the 192 Weber hexads

Literary (also from May 18, 2010)

IMAGE- Heraclitus, 'Immortals mortal, mortals immortal'- 'athanatoi thnetoi, thnetoi athanatoi'

Friday, March 21, 2014

Three Constructions of the Miracle Octad Generator

Filed under: General,Geometry — Tags: , , , , , , — m759 @ 12:24 pm

IMAGE- Two constructions, by Turyn/Curtis, and by Conway, of the Miracle Octad Generator

See also a Log24 post on this subject from Dec. 14, 2013,
especially (scroll down) the update of March 9, 2014.

Related material on the Turyn-Curtis construction
from the University of Cambridge —

— Slide by "Dr. Parker" — Apparently Richard A. Parker —
Lecture 4, "Discovering M24," in slides for lectures 1-8 from lectures
at Cambridge in 2010-2011 on "Sporadic and Related Groups."
See also the Parker lectures of 2012-2013 on the same topic.

A third construction of Curtis's 35  4×6  1976 MOG arrays would use
Cullinane's analysis of the 4×4 subarrays' affine and projective structure,
and point out the fact that Conwell's 1910 correspondence of the 35
4+4-partitions of an 8-set with the 35 lines of the projective 3-space
over the 2-element field, PG(3, 2), is essentially the same correspondence
as that constituting Curtis's 1976 MOG.

See The Diamond Theorem,  Finite RelativityGalois Space,
Generating the Octad Generator, and The Klein Correspondence.

Update of March 22-March 23 —

Adding together as (0,1)-matrices over GF(2) the black parts (black
squares as 1's, all other squares as 0's) of the 35  4×6 arrays of the 1976
Curtis MOG would then reveal*  the symmetric role played in octads
by what Curtis called the heavy brick , and so reveal also the action of
S3 on the three Curtis bricks that leaves invariant the set of all 759
octads of the S(5, 8, 24) constructed from the 35  MOG arrays.  For more
details of this "by-hand" construction, see Geometry of the 4×4 Square.
For the mathematical properties of the S(5, 8, 24), it is convenient to
have a separate construction (such as Turyn's), not  by hand, of the
extended binary Golay code. See the Brouwer preprint quoted above.

* "Then a miracle occurs," as in the classic 1977 Sidney Harris cartoon.

Illustration of array addition from March 23 —

IMAGE- Discovery of the S_3 action on bricks in the Conwell-Cullinane 'by-hand' approach to octad-building

Thursday, March 20, 2014

Classical Galois

Filed under: General,Geometry — Tags: , , — m759 @ 12:26 pm

IMAGE- The large Desargues configuration and Desargues's theorem in light of Galois geometry

Click image for more details.

To enlarge image, click here.

Wednesday, March 19, 2014

Plato Thanks the Academy

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

(Continued)

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

“Click on fanciful .”

To Gather Stones Together

Filed under: General — Tags: — m759 @ 12:20 pm

Robert Stone’s Heaven —

“Behold the handmaid of the Lord.”

Sharon Stone’s Heaven —

“I’m  alive.”

“No. You’re dead, this is heaven,
and I’m the Virgin Mary.”

(Costume design by L’Wren Scott)

Tuesday, March 18, 2014

Class of 64 continues…

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

Mathematician Norbert Wiener reportedly died on this date in 1964.

"Mathematics is too arduous and uninviting a field to appeal to those to whom it does not give great rewards. These rewards are of exactly the same character as those of the artist. To see a difficult uncompromising material take living shape and meaning is to be Pygmalion, whether the material is stone or hard, stonelike logic. To see meaning and understanding come where there has been no meaning and no understanding is to share the work of a demiurge. No amount of technical correctness and no amount of labour can replace this creative moment, whether in the life of a mathematician or of a painter or musician. Bound up with it is a judgment of values, quite parallel to the judgment of values that belongs to the painter or the musician. Neither the artist nor the mathematician may be able to tell you what constitutes the difference between a significant piece of work and an inflated trifle; but if he is not able to recognise this in his own heart, he is no artist and no mathematician."

— Wiener, Ex-Prodigy

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