Log24

Thursday, October 6, 2016

Cuber

Filed under: General — m759 @ 12:00 PM

Nobel Flashback:

Wednesday, January 29, 2014

Nobel Note

Filed under: Uncategorized — m759 @ 7:59 PM 

"It's going to be accomplished in steps,
this establishment of the Talented
​in the scheme of things."

— To Ride Pegasus ,
     by Anne McCaffrey (Radcliffe '47)

From a post of Jan. 11, 2012 —

Tension in the Common Room

IMAGE- 'Launched from Cuber' scene in 'X-Men: First Class'

Wednesday, December 17, 2014

Launched from Cuber

Filed under: General — Tags: — m759 @ 5:55 PM

Continued from Nobel Note (Jan. 29, 2014).

IMAGE- 'Launched from Cuber' scene in 'X-Men: First Class'

From Tradition in Action , "The Missal Crisis of '62,"
remarks on the revision of the Catholic missal in that year—

"Neither can the claim that none of these changes
is heretical in content be used as an argument
in favor of its use, for neither is the employment of
hula girls, fireworks, and mariachis strictly speaking
heretical in itself, but they belong to that class of novel
and profane things that do not belong in the Mass."

— Fr. Patrick Perez, posted Sept. 11, 2007 

See also this  journal on November 22, 2014

Say Bingo to my little friend

    … and on Bruce Springsteen's birthday this year —

Tuesday, September 23, 2014

Matrix

Filed under: Uncategorized — m759 @ 11:00 AM 

From AP’s Today in History:

Happy birthday.

“It all adds up.” — Saul Bellow

The Matrix:

 

 

 

 

Friday, June 7, 2013

Rubric’s Cuber

Filed under: General — m759 @ 2:45 AM

From Night of Lunacy (Sunday, May 5, 2013):

Related posts:  Rubric,  Cuber, and Pound Sign.

Click image for some background.
See also Story Theory and Princeton Apocalypse.

Wednesday, July 11, 2012

Cuber

Filed under: General,Geometry — m759 @ 11:00 AM

(Continued)

For Pete Rustan, space recon expert, who died on June 28—

(Click to enlarge.)

See also Galois vs. Rubik and Group Theory Template.

Saturday, February 25, 2012

Cuber (continued)

Filed under: General,Geometry — m759 @ 1:23 PM

Click images for further details.

See also Crimson TideRubik, and Cuber.

For another monochromatic enigma without
guaranteed equality of results, see
Finite Geometry of the Square and Cube.

Sunday, February 5, 2012

Cuber

Filed under: General,Geometry — Tags: — m759 @ 5:15 PM

(Continued from January 11, 2012)

Wednesday, January 11, 2012

Cuber

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

"Examples galore of this feeling must have arisen in the minds of the people who extended the Magic Cube concept to other polyhedra, other dimensions, other ways of slicing.  And once you have made or acquired a new 'cube'… you will want to know how to export a known algorithm , broken up into its fundamental operators , from a familiar cube.  What is the essence of each operator?  One senses a deep invariant lying somehow 'down underneath' it all, something that one can’t quite verbalize but that one recognizes so clearly and unmistakably in each new example, even though that example might violate some feature one had thought necessary up to that very moment.  In fact, sometimes that violation is what makes you sure you’re seeing the same thing , because it reveals slippabilities you hadn’t sensed up till that time….

… example: There is clearly only one sensible 4 × 4 × 4 Magic Cube.  It is the  answer; it simply has the right spirit ."

— Douglas R. Hofstadter, 1985, Metamagical Themas: Questing for the Essence of Mind and Pattern  (Kindle edition, locations 11557-11572)

See also Many Dimensions in this journal and Solomon's Cube.

Sunday, September 29, 2019

Stage Direction: “Comments Off.”

Filed under: General — Tags: — m759 @ 11:29 AM

The previous post dealt with "magic" cubes, so called because of the
analogous "magic" squares. Douglas Hofstadter has written about a 
different, physical , object, promoted as "the  Magic Cube," that Hofstadter
felt embodied "a deep invariant":

Friday, June 16, 2017

Rough Night at the Museum

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

See the previous three posts and the Nobel flashback titled Cuber.

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.

Thursday, October 9, 2014

Nine is a Vine

Filed under: General — m759 @ 11:29 PM

See also Concepts of Space and  “Launched from Cuber.”

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.

Wednesday, January 29, 2014

Nobel Note

Filed under: General — m759 @ 7:59 PM

"It's going to be accomplished in steps,
this establishment of the Talented
​in the scheme of things."

— To Ride Pegasus ,
     by Anne McCaffrey (Radcliffe '47)

From a post of Jan. 11, 2012 —

Tension in the Common Room

IMAGE- 'Launched from Cuber' scene in 'X-Men: First Class'

Tuesday, June 18, 2013

Multispeech

Filed under: General,Geometry — Tags: — m759 @ 4:48 PM

(Continued)

For those who prefer Trudeau's
"Story Theory" of truth to his "Diamond Theory"

IMAGE- Janet Maslin's review of Max Barry's novel 'Lexicon'

Related material: Click images below for the original posts.

See as well the novel  "Lexicon" at Amazon.com 
and the word  "lexicon" in this journal.

Saturday, June 8, 2013

Multispeech (continued)

Filed under: General — m759 @ 2:01 PM

For this, the dies natalis  of poet Gerard Manley Hopkins,
it seems apt to cite a 1973 master's thesis on what the author
calls multiguity  in Hopkins. 

See also multispeech in this journal.

Related material:

See, too, the online front page of The New York Times
from 1:54 PM ET today, and, as an example  of multispeech,
yesterday morning's post Rubric's Cuber.

Yesterday's noon post concerned a forthcoming novel
about poetry and intelligence services. Some related backstory:

Monday, November 5, 2012

For the Hollow Men

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

"Remember, remember the Fifth of November."

Very well. See a post of Nov. 5, 2005, and the related posts
ShadowsCuberCube Partitions, and Cube Review.

Tuesday, October 16, 2012

Cube Review

Filed under: General,Geometry — Tags: — m759 @ 3:00 PM

Last Wednesday's 11 PM post mentioned the
adjacency-isomorphism relating the 4-dimensional 
hypercube over the 2-element Galois field GF(2) to
the 4×4 array made up of 16 square cells, with
opposite edges of the 4×4 array identified.

A web page illustrates this property with diagrams that
enjoy the Karnaugh property— adjacent vertices, or cells,
differ in exactly one coordinate. A brief paper by two German
authors relates the Karnaugh property to the construction
of a magic square like that of Dürer (see last Wednesday).

In a similar way (search the Web for Karnaugh + cube ),
vertex adjacency in the 6-dimensional hypercube over GF(2) 
is isomorphic to cell adjacency in the 4x4x4 cube, with
opposite faces of the 4x4x4 cube identified.

The above cube may be used to illustrate some properties
of the 64-point Galois 6-space that are more advanced
than those studied by enthusiasts of "magic" squares
and cubes.

See

Those who prefer narrative to mathematics may
consult posts in this journal containing the word "Cuber."

Thursday, April 12, 2012

Mythopoetic*

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

"Is Space Digital?" 

Cover storyScientific American  magazine, February 2012

"The idea that space may be digital
  is a fringe idea of a fringe idea
  of a speculative subfield of a subfield."

— Physicist Sabine Hossenfelder
     at her weblog on Feb. 5, 2012

"A quantization of space/time
 is a holy grail for many theorists…."

— Peter Woit in a comment at his physics weblog today

See also 

* See yesterday's Steiner's Systems.

Saturday, January 14, 2012

Damnation Morning*

Filed under: General,Geometry — Tags: , — m759 @ 5:24 AM

(Continued)

The following is adapted from a 2011 post

IMAGE- Galois vs. Rubik

* The title, that of a Fritz Leiber story, is suggested by
   the above picture of the symmetry axes of the square.
   Click "Continued" above for further details. See also
   last Wednesday's Cuber.

Wednesday, January 11, 2012

Language Game

Filed under: General,Geometry — Tags: — m759 @ 8:08 AM

Tension in the Common Room

IMAGE- 'Launched from Cuber' scene in 'X-Men: First Class'

In memory of population geneticist James F. Crow,
who died at 95 on January 4th.

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.

Powered by WordPress