Log24

Friday, January 31, 2014

Diamond Star

Filed under: General — Tags: — m759 @ 1:00 PM

From The Diamond and the Star ,  by John Warden*
(London, Shepheard-Walwyn Ltd.,  June 1, 2009) —

(The quotation is from Kipling's "The Conundrum of the Workshops.")

IMAGE- The Devil's question - 'It's pretty, but is it Art?'

Answer — Some would say "Yes."

Part I: From a search for "Diamond Star" in this journal —

The Diamond Star

http://www.log24.com/log/pix11B/110905-StellaOctangulaView.jpg

Part II: From the Facebook photos of Oslo artist Josefine Lyche—

* Obituary link, added at 10:45 PM ET Jan. 31 after reading  a publisher's note 
  saying that "The author sadly died before the book was published."

  Perhaps sadly, perhaps not.

Tuesday, March 29, 2011

Diamond Star

Filed under: General,Geometry — m759 @ 4:03 PM

From last night's note on finite geometry—

"The (83, 83) Möbius-Kantor configuration here described by Coxeter is of course part of the larger (94, 123) Hesse configuration. Simply add the center point of the 3×3 Galois affine plane and the four lines (1 horizontal, 1 vertical, 2 diagonal) through the center point." An illustration—

http://www.log24.com/log/pix11/110329-DiamondStar.jpg
This suggests a search for "diamond+star."

Sunday, September 6, 2015

Note on the Death of Culture

Filed under: General — m759 @ 5:00 PM

In memory of the late Claus Adolf Moser,
Baron Moser, who reportedly died at 92  
on Friday, September 4, 2015.

Moser, a statistician, later became an arts
administrator as well. (He was chairman of the
Royal Opera House, 1974-1987).

Arts for Moser:

From the current New Yorker  (Sept. 7, 2015) —

New Yorker blackboard cartoon

From this journal last year —

But Is It Art? and Diamond Star
(Feb. 1 and Jan. 31, 2014)

http://www.log24.com/log/pix11B/110905-StellaOctangulaView.jpg

Saturday, February 1, 2014

ART WARS (continued)

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

A sequel to Friday afternoon's Diamond Star

Diamond Star —

http://www.log24.com/log/pix11B/110905-StellaOctangulaView.jpg

Log24 on January 7, 2012 —

A doodle from this year's [2012’s]  Feast of the Epiphany

http://www.log24.com/log/pix12/120106-CathyHull-Hillman-Detail.jpg

A doodle based on today's previous post and on
a post for Twelfth Night, 2003

IMAGE- Quilt blocks- Devil's Claws and Yankee Puzzle

IMAGE- 'Yankee Doodle went to London' with musical notes

Context — All posts tagged "Eden."

But Is It Art?

Filed under: General — m759 @ 7:35 AM

See New York Times  story on some art from Delft.
This may be read as a prequel (online Jan. 30) to
two Log24 posts — yesterday's Diamond Star and
this morning's Delft Version.

Friday, January 6, 2012

Form

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

An example for the Feast of the Epiphany*
IMAGE- Cathy Hull, detail from cover of Hillman's 'The Dream and the Underworld'

For one approach to defining this form, see Diamond Star.

* And for Pomona College

Thursday, October 20, 2011

The Thing Itself

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

Suggested by an Oct. 18 piece in the Book Bench section
of the online New Yorker  magazine—

http://www.log24.com/log/pix11C/111020-Derrida.GIF

http://www.log24.com/log/pix11C/111020-Topia122.GIF

Related material suggested by the "Shouts and Murmurs" piece
in The New Yorker , issue dated Oct. 24, 2011—

"a series of e-mails from a preschool teacher planning to celebrate
the Day of the Dead instead of Halloween…"

A search for Coxeter + Graveyard in this journal yields…

Coxeter exhuming Geometry

Here the tombstone says "GEOMETRY… 600 BC — 1900 AD… R.I.P."

A related search for Plato + Tombstone yields an image from July 6, 2007…

The image “http://www.log24.com/log/pix06A/061019-Tombstones.jpg” cannot be displayed, because it contains errors.

Here Plato's poems to Aster suggested
the "Star and Diamond" tombstone.

The eight-rayed star is an ancient symbol of Venus
and the diamond is from Plato's Meno .

The star and diamond are combined in a figure from
12 AM on September 6th, 2011—

The Diamond Star

http://www.log24.com/log/pix11B/110905-StellaOctangulaView.jpg

See Configurations and Squares.

That webpage explains how Coxeter
united the diamond and the star.

Those who prefer narrative to mathematics may consult
a definition of the Spanish word lucero  from March 28, 2003.

Thursday, September 8, 2011

Starring the Diamond

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

"In any geometry satisfying Pappus's Theorem,
the four pairs of opposite points of 83
are joined by four concurrent lines.
"
— H. S. M. Coxeter (see below)

Continued from Tuesday, Sept. 6

The Diamond Star

http://www.log24.com/log/pix11B/110905-StellaOctangulaView.jpg

The above is a version of a figure from Configurations and Squares.

Yesterday's post related the the Pappus configuration to this figure.

Coxeter, in "Self-Dual Configurations and Regular Graphs," also relates Pappus to the figure.

Some excerpts from Coxeter—

http://www.log24.com/log/pix11B/110908-Coxeter83.jpg

The relabeling uses the 8 superscripts
from the first picture above (plus 0).
The order of the superscripts is from
an 8-cycle in the Galois field GF(9).

The relabeled configuration is used in a discussion of Pappus—

http://www.log24.com/log/pix11B/110908-Coxeter83part2.jpg

(Update of Sept. 10, 2011—
Coxeter here has a note referring to page 335 of
G. A. Miller, H. F. Blichfeldt, and L. E. Dickson,
Theory and Applications of Finite Groups , New York, 1916.)

Coxeter later uses the the 3×3 array (with center omitted) again to illustrate the Desargues  configuration—

http://www.log24.com/log/pix11B/110908-Coxeter103.jpg

The Desargues configuration is discussed by Gian-Carlo Rota on pp. 145-146 of Indiscrete Thoughts

"The value  of Desargues' theorem and the reason  why the statement of this theorem has survived through the centuries, while other equally striking geometrical theorems have been forgotten, is in the realization that Desargues' theorem opened a horizon of possibilities  that relate geometry and algebra in unexpected ways."

Tuesday, September 6, 2011

Midnight in the Garden (continued)

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

The Diamond Star

http://www.log24.com/log/pix11B/110905-StellaOctangulaView.jpg

See Configurations and Squares.

Thursday, April 7, 2011

Afternoon Delight

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

"A cover of the song 'Smooth Operator' (Sade) from the EP Goodbye Note , by Asaro and Wolcott"

http://www.log24.com/log/pix11/110407-Asaro.jpg

Asaro is the author of Diamond Star .

Monday, November 29, 2010

Philosopher’s Stone

Filed under: General,Geometry — m759 @ 3:30 PM

Happy Ending

Part I —
Plato's
Tombstone

Star and Diamond: A Tombstone for Plato

Part II
Star and Diamond
United

IMAGE- The Diamond Star

(See previous post and
a note on design.)

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