Log24

Monday, December 29, 2014

Revolution of Forms

Filed under: General — m759 @ 11:49 PM

In memory of Cuban architect
Ricardo Porro, who died
on Christmas Day, 2014:

See also Rubik + Revolution
and Launched from Cuber.

Friday, September 9, 2011

Galois vs. Rubik

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

(Continued from Abel Prize, August 26)

IMAGE- Elementary Galois Geometry over GF(3)

The situation is rather different when the
underlying Galois field has two rather than
three elements… See Galois Geometry.

Image-- Sugar cube in coffee, from 'Bleu'

The coffee scene from “Bleu”

Related material from this journal:

The Dream of
the Expanded Field

Image-- 4x4 square and 4x4x4 cube

Sunday, February 8, 2015

Hungarian Phenomenon

Filed under: General — Tags: , , , — m759 @ 2:07 PM

For Autism Sunday —

Mathematician John von Neumann
reportedly died on this date.

“He belonged  to that so-called
Hungarian phenomenon….”

A webpage titled
“Von Neumann, Jewish Catholic”

Illustrations of another Hungarian phenomenon:

IMAGE- Anthony Hopkins exorcises a Rubik cube

Friday, June 13, 2014

It’s 10 PM

Filed under: General — Tags: , — m759 @ 10:00 PM

"The wind of change is blowing throughout the continent.
Whether we like it or not, this growth of national consciousness
is a political fact."— Prime Minister Harold Macmillan,
South Africa, 1960

"Lord knows when the cold wind blows
it'll turn your head around." — James Taylor

From a Log24 post of August 27, 2011:

IMAGE- 'Group Theory' Wikipedia article with Rubik's cube as main illustration and argument  by a cuber for the image's use

For related remarks on "national consciousness," see Frantz Fanon.

Monday, April 28, 2014

Hymn

Filed under: General — Tags: — m759 @ 2:15 AM

Suggested by a Saturday death in Jersey City:

Somewhere, over the gray space

Gray Space, by Wagner

Filed under: General — Tags: — m759 @ 1:37 AM

(Orlin Wagner/Associated Press) – A vehicle tops a hill along
U.S. Route 56 as a severe thunderstorm moves through the area
near Baldwin City, Kansas, on Sunday, April 27, 2014.

See a related news story.

Sunday, April 27, 2014

Sunday School

Filed under: General,Geometry — Tags: — m759 @ 9:00 AM

Galois and Abel vs. Rubik

(Continued)

“Abel was done to death by poverty, Galois by stupidity.
In all the history of science there is no completer example
of the triumph of crass stupidity….”

— Eric Temple Bell,  Men of Mathematics

Gray Space  (Continued)

… For The Church of Plan 9.

Saturday, April 26, 2014

For Two Artists of Norway

Filed under: General — Tags: , — m759 @ 5:48 AM

IMAGE- Conclusion of introduction to Heinrich Zimmer's 'The King and the Corpse'

See also LYNX 760 , Rubik vs. Abel, and Toying.

Friday, April 25, 2014

Toying

Filed under: General,Geometry — Tags: , — m759 @ 10:00 PM

IMAGE- 'Another instance of producers toying with artists' and a Rubik's Cube exhibition in Jersey City beginning Saturday, April 26

Related material: Quilt Geometry and Magical Realism Revisited.

Saturday, August 27, 2011

Cosmic Cube*

Filed under: General,Geometry — Tags: , , , — m759 @ 12:25 PM

IMAGE- Anthony Hopkins exorcises a Rubik cube

Prequel (Click to enlarge)

IMAGE- Galois vs. Rubik: Posters for Abel Prize, Oslo, 2008

Background —

IMAGE- 'Group Theory' Wikipedia article with Rubik's cube as main illustration and argument by a cuber for the image's use

See also Rubik in this journal.

* For the title, see Groups Acting.

Thursday, May 26, 2011

For the Class of ’11

Filed under: General — Tags: — m759 @ 2:12 PM

IMAGE- Anthony Hopkins exorcises a Rubik cube

But leave the wise to wrangle, and with me
the quarrel of the universe let be;
and, in some corner of the hubbub couched,
make game of that which makes as much of thee.

John McKay at sci.math

Related material: Harvard Treasure, Favicon, and Crimson Tide.

Thursday, March 10, 2011

Paradigms Lost

Filed under: General,Geometry — Tags: — m759 @ 5:48 PM

(Continued from February 19)

The cover of the April 1, 1970 second edition of The Structure of Scientific Revolutions , by Thomas S. Kuhn—

http://www.log24.com/log/pix11/110310-KuhnCover.jpg

This journal on January 19, 2011

IMAGE- A Galois cube: model of the 27-point affine 3-space

If Galois geometry is thought of as a paradigm shift from Euclidean geometry,
both images above— the Kuhn cover and the nine-point affine plane—
may be viewed, taken together, as illustrating the shift. The nine subcubes
of the Euclidean  3x3x3 cube on the Kuhn cover do not  form an affine plane
in the coordinate system of the Galois  cube in the second image, but they
at least suggest  such a plane. Similarly, transformations of a
non-mathematical object, the 1974 Rubik  cube, are not Galois  transformations,
but they at least suggest  such transformations.

See also today's online Harvard Crimson  illustration of problems of translation
not unrelated to the problems of commensurability  discussed by Kuhn.

http://www.log24.com/log/pix11/110310-CrimsonSm.jpg

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