Log24

Thursday, February 17, 2022

Four Dots, Six Lines

Filed under: General — Tags: — m759 @ 1:46 am

"There is  such a thing  as  a tesseract." 

— Mrs. Whatsit in  A Wrinkle in Time  (1962)

"Simplify, simplify." — Henry David Thoreau in Walden  (1854)

Von Franz representation of the I Ching's Hexagram 2, The Receptive
 

A Jungian on this six-line figure:

“They are the same six lines that exist in the I Ching…. Now observe the square more closely: four of the lines are of equal length, the other two are longer…. For this reason symmetry cannot be statically produced and a dance results.”
 
— Marie-Louise von Franz,
   Number and Time  (1970)

Saturday, February 14, 2015

Valentine Dance

Filed under: General,Geometry — Tags: , — m759 @ 2:00 pm

For Eliot and von Franz —

"A dance results."

— Marie-Louise von Franz
     in Number and Time

IMAGE- Halftime dance in 4x4 square, 2015 Super Bowl, with Katy Perry

Thursday, May 10, 2012

Midnight in Oslo (continued)

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

Last evening's Geometry of the Dance discussed
a book on the Norwegian mathematician
Niels Henrik Abel. The post dealt with the group
S4 of 24 permutations of a 4-element set.

                                                    "In that open field
If you do not come too close, if you do not come too close,
On a summer midnight, you can hear the music…."

— The dance in Four Quartets

For a summer midnight related to the group S4,
see Midnight in Oslo from last August.

"At the still point…." — T. S. Eliot

"…a dance results." — Marie-Louise von Franz

Wednesday, March 24, 2010

Symbology

Filed under: General — m759 @ 5:24 pm

At the Still Point…

Headline from a weblog at
the Atlanta Journal-Constitution

8:07 AM March 24, 2010–

Obama, Netanyahu doing
a complicated little dance

Related recent quotation here–

http://www.log24.com/log/pix10/100324-vonFranz.gif

See also

A Dance Results,

St. Augustine's Day 2006, and

Religious Symbolism at Harvard

The image “http://www.log24.com/log/pix05B/050807-Howard.jpg” cannot be displayed, because it contains errors.

Tuesday, February 14, 2006

Tuesday February 14, 2006

Filed under: General — Tags: — m759 @ 7:20 am
Elitist Valentine

“… ‘elite’ is a term of opprobrium on both sides of the Atlantic for both left and right for entirely different reasons–  for the right, an ‘elitist’ is an unpatriotic, degenerate left-wing fan of the avant-garde; for the left, he is an undemocratic enemy of the people.”

— Charles Rosen, review of The Oxford History of Western Music in the Feb. 23, 2006, New York Review of Books

The first person that comes to mind as fitting both left and right descriptions is T. S. Eliot.  Hence the following:

The image “http://www.log24.com/log/pix05/050503-Poets.jpg” cannot be displayed, because it contains errors.


The image “http://www.log24.com/log/pix05/050501-Quad.jpg” cannot be displayed, because it contains errors.

A Jungian on this six-line figure:

“They are the same six lines that exist in the I Ching…. Now observe the square more closely: four of the lines are of equal length, the other two are longer…. For this reason symmetry cannot be statically produced and a dance results.”
 
— Marie-Louise von Franz,
   Number and Time (1970)


Monday, December 26, 2005

Monday December 26, 2005

Filed under: General — Tags: , — m759 @ 7:00 pm
Language Game on
Boxing Day

In the box-style I Ching
Hexagram 34,
The Power of the Great,
is represented by

  The image “http://www.log24.com/theory/images/Box34.gif” cannot be displayed, because it contains errors. .

Art is represented
by a box
(Hexagram 20,
Contemplation, View)

  The image “http://www.log24.com/theory/images/Box20.gif” cannot be displayed, because it contains errors. .

  And of course 
great art
is represented by
an X in a box.
(Hexagram 2,
The Receptive)

  The image “http://www.log24.com/theory/images/Box02.gif” cannot be displayed, because it contains errors. .

“… as a Chinese jar still   
Moves perpetually
 in its stillness”

“… at the still point,  
there the dance is.”

— T. S. Eliot 

The image “http://www.log24.com/log/pix05/050501-Quad.jpg” cannot be displayed, because it contains errors.

A Jungian on this six-line figure:

“They are the same six lines that exist in the I Ching…. Now observe the square more closely: four of the lines are of equal length, the other two are longer…. For this reason symmetry cannot be statically produced and a dance results.”
 
— Marie-Louise von Franz,
   Number and Time


For those who prefer
technology to poetry,
there is the Xbox 360.

(Today is day 360 of 2005.)

Friday, December 2, 2005

Friday December 2, 2005

Filed under: General — m759 @ 8:05 pm
For St. Robertson Davies,
whose feast is today:

Apollo and Christ

Benedict XVI, before he became Pope:

“… a purely harmonious concept of beauty is not enough…. Apollo, who for Plato’s Socrates was ‘the God’ and the guarantor of unruffled beauty as ‘the truly divine’ is absolutely no longer sufficient.”

Discuss the following
symbol of Apollo

The image “http://www.log24.com/log/pix05B/051202-Grid.gif” cannot be displayed, because it contains errors.

as the source of
a Christian symbol–

The image “http://www.log24.com/log/pix05B/051202-Cross.gif” cannot be displayed, because it contains errors.

the Greek Cross.

Related material:

The play
now then again

(Time-Bending Love Story
Comes Home to Fermilab
)

The image “http://www.log24.com/log/pix05B/051202-NowThen2.jpg” cannot be displayed, because it contains errors.

with cover art by Roz Francis

illustrating the time 8:05:19,

Hexagram 19 in the
Cullinane series

The image “http://www.log24.com/log/pix05B/051202-Hex19.jpg” cannot be displayed, because it contains errors.

(“A dance results”
— Marie-Louise von Franz),

and

Paul Preuss on Apollo,
quantum physics, and
the isle of Delos.

Monday, May 2, 2005

Monday May 2, 2005

Filed under: General — m759 @ 11:00 am
A Dance Results

 

Roger Kimball on Rosalind Krauss's
The Optical Unconscious:

"Professor Krauss even uses many of the same decorations with which she festooned earlier volumes. Bataille’s photograph of a big toe, for example, which I like to think of as her mascot, reappears. As does her favorite doodle, a little graph known as a 'Klein Group' or 'L Schema' whose sides and diagonals sport arrows pointing to corners labeled with various opposing pairs: e.g., 'ground' and 'not ground,' 'figure' and 'not figure.' Professor Krauss seems to believe that this device, lifted from the pages of structuralist theory, illuminates any number of deep mysteries: the nature of modernism, to begin with, but also the essence of gender relations, self-consciousness, perception, vision, castration anxiety, and other pressing conundrums that, as it happens, she has trouble distinguishing from the nature of modernism. Altogether, the doodle is a handy thing to have around. One is not surprised that Professor Krauss reproduces it many times in her new book."
 

From Drid Williams,
The Semiotics of Human Action,
Ritual, and Dance:

A Klein four-group in the context of dance

This is closely related to
Beckett's "Quad" figure

The image “http://www.log24.com/log/pix05/050501-Quad.jpg” cannot be displayed, because it contains errors.

A Jungian on this six-line figure:

"They are the same six lines
that exist in the I Ching….
Now observe the square more closely:
four of the lines are of equal length,
the other two are longer….
For this reason symmetry
cannot be statically produced
and a dance results."
 
— Marie-Louise von Franz,
Number and Time (1970)

and to the Greimas "semiotic square":

"People have believed in the fundamental character of binary oppositions since at least classical times. For instance, in his Metaphysics Aristotle advanced as primary oppositions: form/matter, natural/unnatural, active/passive, whole/part, unity/variety, before/after and being/not-being.*  But it is not in isolation that the rhetorical power of such oppositions resides, but in their articulation in relation to other oppositions. In Aristotle's Physics the four elements of earth, air, fire and water were said to be opposed in pairs. For more than two thousand years oppositional patterns based on these four elements were widely accepted as the fundamental structure underlying surface reality….

The structuralist semiotician Algirdas Greimas introduced the semiotic square (which he adapted from the 'logical square' of scholastic philosophy) as a means of analysing paired concepts more fully…."

 

Daniel Chandler, Semiotics for Beginners.

* Compare Chandler's list of Aristotle's primary oppositions with Aristotle's list (also in the  Metaphysics) of Pythagorean oppositions (see Midrash Jazz Quartet).
 

Sunday, May 1, 2005

Sunday May 1, 2005

Filed under: General — Tags: — m759 @ 1:11 pm
Logos

Harvard's Barry Mazur on
one mathematical style:

"It’s the barest, most Beckett-like vocabulary
that incorporates the theory and nothing else."

Samuel Beckett, Quad (1981):

The image “http://www.log24.com/log/pix05/050501-Quad.jpg” cannot be displayed, because it contains errors.

A Jungian on this six-line logo:

"They are the same six lines
that exist in the I Ching….
Now observe the square more closely:
four of the lines are of equal length,
the other two are longer….
For this reason symmetry
cannot be statically produced
and a dance results."
 
— Marie-Louise von Franz,
Number and Time (1970),
Northwestern U. Press
paperback, 1979, p. 108

A related logo from
Columbia University's
Department of Art History
and Archaeology
:

The image “http://www.log24.com/log/pix05/050501-ArtHist2.gif” cannot be displayed, because it contains errors.
 
Also from that department:

Rosalind Krauss,

The image “http://www.log24.com/log/pix05/050501-Krauss.jpg” cannot be displayed, because it contains errors.

Meyer Schapiro Professor
of Modern Art and Theory:

"There is no painter in the West
who can be unaware of
the symbolic power
of the cruciform shape
and the Pandora's box
of spiritual reference
that is opened
once one uses it."

"In the garden of Adding
live Even and Odd…"
— The Midrash Jazz Quartet in
City of God, by E. L. Doctorow

THE GREEK CROSS

A cross in which all the arms
are the same length.

Here, for reference, is a Greek cross
within a nine-square grid:

The image “http://www.log24.com/log/pix05/050501-GrCross.gif” cannot be displayed, because it contains errors.

 Related religious meditation for
    Doctorow's "Garden of Adding"…

 4 + 5 = 9.

Types of Greek cross
illustrated in Wikipedia
under "cross":

The image “http://www.log24.com/log/pix05/GrCross.gif” cannot be displayed, because it contains errors.

From designboom.com:

THE BAPTISMAL CROSS

The image “http://www.log24.com/log/pix05/050501-BaptismalCross.gif” cannot be displayed, because it contains errors.

 

is a cross with eight arms:
a Greek cross, which is superimposed
on a Greek 'chi,' the first letter
of the Greek word for 'Christ.'
Since the number eight is symbolic
of rebirth or regeneration,
this cross is often used
as a baptismal cross.

Related material:

The image “http://www.log24.com/theory/images/Symm-axes.jpg” cannot be displayed, because it contains errors.

Fritz Leiber's "spider"
or "double cross" logo.
See Why Me? and
A Shot at Redemption.

Happy Orthodox Easter.

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