Log24

Monday, November 14, 2022

A Puzzlement

Filed under: General — Tags: , , — m759 @ 10:43 am

Saturday, November 12, 2022

The League of Extraordinary Artists

Filed under: General — Tags: — m759 @ 8:15 pm

Thursday, November 3, 2022

Linear Transformations for Scientists, or . . .

Filed under: General — Tags: , — m759 @ 1:26 pm

"Rotate, Flip, and Stretch, Baby!"

"One way to evaluate an artist is to observe the quantity and quality
of misinterpretation his work begets. By this measure Everett ranks
very highly. 'Damn it, I don’t understand it, but I love it,' mutters one
of the characters, regarding Sill’s weapon of nothingness. Same.
Kitu has a colleague named Eigen Vector, which refers to
something having to do with linear transformations?"

— Book review by Molly Young in The New York Times
     
on All Hallows' Day 2022

See as well Bik in The New Yorker  on June 23, 2021.

Appropriation

Filed under: General — Tags: — m759 @ 11:53 am

See the title in this journal.

“A Lot”

Filed under: General — Tags: — m759 @ 10:47 am

"In a typical Booth cartoon, a lot happens at once."

Cartoonish news from yesterday . . .

New Yorker  cartoon caption, not  by Booth —

"What part of Noh don't you understand?"

Scholium

The H — and …

The Crimson Abyss.

 

Colorful Appropriation*

Filed under: General — Tags: — m759 @ 2:21 am

(Title suggested by Google News today
and by a Percival Everett short story.}

♫   "Red and Yellow, Blue and Green"

Wednesday, November 2, 2022

Groups and Spaces, 1979-2022

Filed under: General — Tags: , — m759 @ 1:15 pm

1979 —

2022 —

Tuesday, November 1, 2022

From “Goethe on All Souls’ Day”

Filed under: General — Tags: — m759 @ 3:04 am

The above title is that of a Log24 post on St. Cecilia's Day in 2017
that quoted some earlier All Souls' Day remarks from Berlin.

From that post —

Exercise:  Explain why the lead article in the November issue of
Notices of the American Mathematical Society  misquotes Weyl
and gives the misleading impression that the example above,
the eightfold cube ,  might be part of the mathematical pursuit
known as geometric group theory .

    Background:  Earlier instances here  of the phrase "geometric group theory." 

Wednesday, February 5, 2020

Appropriation Appropriates*

Filed under: General — Tags: , , — m759 @ 4:29 pm

* A weblog motto. See
http://enowning.blogspot.com/
2007/07/alfred-denkers-dictionary-on-ereignis.html
.

That Ereignis  post is dated July 3, 2007.
Related material for the Church of Synchronology —

"The deepest strain in a religion is the particular
and particularistic doctrine it asserts at its heart,
in the company of such pronouncements as
‘Thou shalt have no other Gods before me.’
Take the deepest strain of religion away…
and what remains are the surface pieties — 
abstractions without substantive bite — 
to which everyone will assent
because they are empty, insipid, and safe."

— Stanley Fish, quoted here on July 3, 2007
The opening date of the film "Transformers."

The opening pronouncement of "Transformers" —

"Before time began, there was the Cube."

Monday, June 21, 2010

Cube Spaces

Cubic models of finite geometries
display an interplay between
Euclidean and Galois geometry.

 

Example 1— The 2×2×2 Cube—

also known as the eightfold  cube

2x2x2 cube

Group actions on the eightfold cube, 1984—

http://www.log24.com/log/pix10A/100621-diandwh-detail.GIF

Version by Laszlo Lovasz et al., 2003—

http://www.log24.com/log/pix10A/100621-LovaszCubeSpace.gif

Lovasz et al. go on to describe the same group actions
as in the 1984 note, without attribution.

Example 2— The 3×3×3 Cube

A note from 1985 describing group actions on a 3×3 plane array—

http://www.log24.com/log/pix10A/100621-VisualizingDetail.gif

Undated software by Ed Pegg Jr. displays
group actions on a 3×3×3 cube that extend the
3×3 group actions from 1985 described above—

Ed Pegg Jr.'s program at Wolfram demonstrating concepts of a 1985 note by Cullinane

Pegg gives no reference to the 1985 work on group actions.

Example 3— The 4×4×4 Cube

A note from 27 years ago today—

http://www.log24.com/log/pix10A/100621-Cube830621.gif

As far as I know, this version of the
group-actions theorem has not yet been ripped off.

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