Log24

Wednesday, January 17, 2018

“Before Time Began, There Was the Cube”

Filed under: General,Geometry — m759 @ 8:00 am

See Eightfold Froebel.

The Paradise of Childhood'-- Froebel's Third Gift

Sunday, February 21, 2021

Cube Woo

Filed under: General — Tags: , — m759 @ 7:01 pm

"Before time began, there was the Cube."
— Hassenfeld Brothers merchandising slogan

Wednesday, June 5, 2019

Time Cube

Filed under: General — m759 @ 11:02 am

The opening lines of Eliot's Four Quartets

"Time present and time past
Are both perhaps present in time future,
And time future contained in time past."

Perhaps.

Those who prefer geometry to rhetoric may also prefer
to Eliot's lines the immortal opening of the Transformers  saga —

"Before time began, there was the Cube."

One version of the Cube —

Monday, May 13, 2019

Star Cube

Filed under: General — Tags: , — m759 @ 1:00 pm

"Before time began . . . ." — Optimus Prime

Monday, July 23, 2018

Eightfold Cube for Furey*

Filed under: General,Geometry — Tags: — m759 @ 10:31 pm

Click to enlarge:

Above are the 7 frames of an animated gif from a Wikipedia article.

* For the Furey of the title, see a July 20 Quanta Magazine  piece

See also the eightfold cube in this  journal.

"Before time began . . . ." — Optimus Prime

Wednesday, July 26, 2017

Cube

Filed under: General — m759 @ 6:01 pm

See 4x4x4 in this journal.  See also

 

Friday, February 23, 2024

Turing-Award Winner Memorial

Filed under: General — m759 @ 3:49 am

In memory of the inventor of the Pascal programming language,
who reportedly died on New Year's Day, 2024, an image from
this journal on that date

"Before time began, there was the Cube." — Optimus Prime

See as well a Pascal that some will prefer, and my own ACM card.

That card gives Warren, PA, as my location… which is no longer
always the case… but Warren is where I learned, and worked, in
computing, after a somewhat belated education in pure mathematics
in New York State.

Some personal background is suggested by…

  • Yesterday's post on the words "sexadecimal" and "hexadecimal"
  • The related word "sexagesimal," referring to base-60 numbering
  • My high school class of 1960 —
    quod vide.

Friday, February 2, 2024

“Platonic Good Mathematics”

Filed under: General — Tags: , — m759 @ 12:29 pm

"Before time began, there was the Cube."
— Optimus Prime

"Spiel ist nicht Spielerei."
Friedrich Froebel

Monday, January 1, 2024

Monday, December 25, 2023

“Weird Pharaonic Monument”

Filed under: General — m759 @ 8:11 am

Epigraph for Cormac McCarthy —

"When I got to high school the first place I went was to the library. It was just a small room with a desk and maybe a thousand books. Maybe not that. But among them was a volume of Berkeley. I dont know what it was doing there. Probably because Berkeley was a bishop. Well. Almost certainly because Berkeley was a bishop. But I sat in the floor and I read A New Theory of Vision. And it changed my life. I understood for the first time that the visual world was inside your head. All the world, in fact. I didnt buy into his theological speculations but the physiology was beyond argument. I sat there for a long time. Just letting it soak in."

— McCarthy, Cormac. Stella Maris  (p. 39).
Knopf Doubleday Publishing Group. Kindle Edition.

From this journal on April 18, 2023

" NY Times  columnist's advice to the recent Harvard donor of $300 million —

'At least make them build you some weird pharaonic monument.' "

Illustration suggested by my own high-school library reading many years ago

Click to enlarge:

"Before time began, there was the Cube." — Optimus Prime

Friday, October 13, 2023

Lightbox for a Friday the 13th

Filed under: General — Tags: — m759 @ 12:35 pm

For a different sort of Lightbox, more closely associated with
the number 13, see instances in this journal of . . .

IMAGE- The 13 symmetry axes of the cube

(Adapted from Encyclopaedia Britannica,
Eleventh Edition (1911), Crystallography .)

"Before time began . . . ." — Optimus Prime

Sunday, July 2, 2023

Badlands Philosophy

Filed under: General — Tags: — m759 @ 12:29 pm

This afternoon's Windows lockscreen is Badlands National Park —

From this morning's post, a phrase from Schopenhauer

"Apparent Design in the Fate of the Individual."

An apparent design in the philosophy of Optimus Prime —

"Before time began, there was the Cube" —

IMAGE- The 13 symmetry axes of the cube

Click the image for further remarks.

Sunday, January 22, 2023

“Preform an affine transformation”

Filed under: General — Tags: , — m759 @ 4:42 pm

"Before time began, there was the Cube." — Transformers  (2007)

Related literature:

Tuesday, September 13, 2022

A Helpful Survey of the Literature

Filed under: General — Tags: — m759 @ 9:39 pm

Some background for the exercise of 9/11

Vera Pless, "More on the uniqueness of the Golay codes,"
Discrete Mathematics 106/107 (1992) 391-398 —

"Several people [1-2,6] have shown that
any set of 212 binary vectors of length 24,
distance ≥ 8, containing 0, must be the
unique (up to equivalence) [24,12,8] Golay code." 

[1] P. Delsarte and J.M. Goethals, "Unrestricted codes
with the Golay parameters are unique
,"
Discrete Math. 12 (1975) 211-224.

[2] A. Neumeier, private communication, 1990.

[6] S.L. Snover, "The uniqueness of the
Nordstrom-Robinson and the Golay binary codes
,"
Ph.D. Thesis, Dept. of Mathematics, 
Michigan State Univ., 1973.

Related images —

"Before time began, there was the Cube."

              — Optimus Prime in 2007

      

"Remember, remember the fifth of November"

  — Hugo Weaving in 2005

Saturday, September 10, 2022

Orthogonal Latin Triangles

Filed under: General — Tags: , — m759 @ 1:38 am

From a 1964 recreational-mathematics essay —

Note that the first two triangle-dissections above are analogous to
mutually orthogonal Latin squares . This implies a connection to
affine transformations within Galois geometry. See triangle graphics
in this  journal.

Affine transformation of 'magic' squares and triangles: the triangle Lo Shu 

Update of 4:40 AM ET —

Other mystical figures —

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

"Before time began, there was the Cube."

— Optimus Prime in "Transformers" (Paramount, 2007)

Wednesday, August 17, 2022

Cold Comfort Dam

Filed under: General — Tags: , — m759 @ 10:50 am

"And, as with all retold tales that are in people's hearts,
there are only good and bad things and black and white
things and good and evil things and no in-between anywhere."

— John Steinbeck, author's epigraph to The Pearl

From the Season 4 finale of Westworld :
uploading Dolores's pearl at Hoover Dam —

For those who prefer greater theological simplicity . . .

Optimus Prime on a different Hoover Dam figure, that of 
the AllSpark: "Before time began, there was the Cube."

Simplifying even more . . .

“A set having three members is a single thing
wholly constituted by its members but distinct from them.
After this, the theological doctrine of the Trinity as
‘three in one’ should be child’s play.”

– Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art
 , Cornell U. Press, 1975

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

As above, Black's theology forms a cube.

Monday, June 27, 2022

Dealing With Cubism

Filed under: General — Tags: , , — m759 @ 7:59 pm

Continued from April 12, 2022.

"It’s important, as art historian Reinhard Spieler has noted,
that after a brief, unproductive stay in Paris, circa 1907,
Kandinsky chose to paint in Munich. That’s where he formed
the Expressionist art group Der Blaue Reiter  (The Blue Rider) —
and where he avoided having to deal with cubism."

— David Carrier, 

Remarks by Louis Menand in The New Yorker  today —

"The art world isn’t a fixed entity.
It’s continually being reconstituted
as new artistic styles emerge." 

IMAGE- The 13 symmetry axes of the cube

(Adapted from Encyclopaedia Britannica,
Eleventh Edition (1911), Crystallography .)

"Before time began, there was the Cube."
— Optimus Prime

See as well Verbum  (February 18, 2017).

Related dramatic music

"Westworld Season 4 begins at Hoover Dam,
with William looking to buy the famous landmark.
What does he consider to be 'stolen' data that is inside?" 

Sunday, March 13, 2022

Google News Spotlight

Filed under: General — m759 @ 5:44 pm

Before time began . . .

IMAGE- Massimo Vignelli, his wife Lella, and cube

Monday, February 14, 2022

Artbusters: Cubism

Filed under: General — Tags: — m759 @ 12:19 pm

" Welcher Art ist die ursprüngliche Einheit,
daß sie sich in diese Scheidung auseinanderwirft,
und in welchem Sinn sind die Geschiedenen
hier als Wesung der Ab-gründigkeit gerade einig?
Hier kann es sich nicht um irgend eine »Dialektik«
handeln, sondern nur um die Wesung des Grundes
(der Wahrheit also) selbst."

— Heidegger 

"Before time began, there was the Cube." — Optimus Prime

Wednesday, February 2, 2022

Conway’s Game vs. Pure Geometry

Filed under: General — m759 @ 12:00 am

A  question attributed to John Horton Conway
about configurations in his Game of Life

"Indeed, is there a Godlike still-life,
one that can only have existed
for all time . . . . ?"

A simple answer … but not  from Conway's Game —

"Before time began, there was the Cube." — Optimus Prime

Related remarks:  Ogdoad.

Saturday, October 16, 2021

In Memory of Brian Goldner, dead on October 12th*

Filed under: General — m759 @ 7:16 am

"Before time began, there was the Cube." — Optimus Prime

See also Design Cube.

According to The Wall Street Journal … and possibly also
    dead on October 11th,  according to The New York Times .

Tuesday, June 8, 2021

Marking the End

Filed under: General — Tags: — m759 @ 10:00 pm

Miller died on February 7, 2021. 
See that date in this  journal

“Before time began, there was the Cube.”
— Hassenfeld Brothers cinematic merchandising slogan.

Update at noon on Wednesday, June 9, 2021 —

Related material on Frye and deconstruction —

From "The First Major Theoretician? Northrop Frye
and Literary Theory
," by Jonathan A. Allan,
Brandon University, Canadian Review of
Comparative Literature
, March 2017, page 89 —

Towards the end of his career, when it was clear that literary theory had taken hold in the academy, Frye began to reflect on literary theory. In an interview with Deanne Bogdan, Frye laments, “I am feeling out of the great critical trends today”….  Northrop Frye was right that he was “out of fashion,” both in terms of his own theories and his place in literary theory; however, he did seek to reverse the course. Frye hoped to reclaim literary studies from deconstruction, which had become, in a sense, his chief opponent ….

Monday, March 15, 2021

Project

Filed under: General — Tags: — m759 @ 9:41 pm

“Before time began, there was the Cube.” — Optimus Prime

Saturday, February 13, 2021

Das Nichts Nichtet

Filed under: General — m759 @ 5:34 pm

Also on February Seventh

Sunday, February 7, 2021

Transformers Continues.

Filed under: General — m759 @ 4:50 PM Edit This

“Before time began, there was the Cube.”
— Hassenfeld Brothers cinematic merchandising slogan

Et cetera .

Sunday, February 7, 2021

Transformers Continues.

Filed under: General — m759 @ 4:50 pm

“Before time began, there was the Cube.”
— Hassenfeld Brothers cinematic merchandising slogan

 

Tuesday, December 29, 2020

I Ching  Geometry

Filed under: General — Tags: , , — m759 @ 11:04 am

"Before time began, there was the Cube."
Hassenfeld Brothers cinematic merchandising slogan

Saturday, April 4, 2020

Devising Entities…

Filed under: General — m759 @ 9:34 am

Continues.

The previous post  displayed a photo from November 2014.

Remarks quoted here  in November 2014

“Before time began, there was the Cube.”
— Optimus Prime

Tuesday, March 17, 2020

Geometric Theology

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

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.

 

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."

Saturday, November 23, 2019

Diamond Globe

Filed under: General — Tags: , , — m759 @ 7:23 pm

An image from All Souls' Day 2010 —

IMAGE- 'Permutahedron of Opposites'-- 24 graphic patterns arranged in space as 12 pairs of opposites

This is from earlier posts tagged Permutahedron.

See also
Wallace Stevens:
A World of Transforming Shapes
.

From that book (click to enlarge) —

http://www.log24.com/log/pix11C/111224-Perlis-500w.jpg

"Before time began, there was the Cube."
— Optimus Prime.

Also from earlier posts tagged Permutahedron

The Mathieu group cube of Iain Aitchison (2018, Hiroshima)

Monday, November 4, 2019

Science Woo

Filed under: General — Tags: , , — m759 @ 4:03 pm

Sounds like a story by Optimus Prime

"Before time began, there was the Cube."

Friday, October 11, 2019

Quest

Filed under: General — m759 @ 3:45 am

John Horgan in Scientific American  magazine on October 8, 2019 —

"In the early 1990s, I came to suspect that the quest
for a unified theory is religious rather than scientific.
Physicists want to show that all things came from
one thing a force, or essence, or membrane
wriggling in eleven dimensions, or something that
manifests perfect mathematical symmetry. In their
search for this primordial symmetry, however,
physicists have gone off the deep end . . . ."

Other approaches —

See "Story Theory of Truth" in this  journal and, from the November 2019  
Notices of the American Mathematical Society . . .

Story Driven

More fundamental than the label of mathematician is that of human. And as humans, we’re hardwired to use stories to make sense of our world (story-receivers) and to share that understanding with others (storytellers) [2]. Thus, the framing of any communication answers the key question, what is the story we wish to share? Mathematics papers are not just collections of truths but narratives woven together, each participating in and adding to the great story of mathematics itself.

The first endeavor for constructing a good talk is recognizing and choosing just one storyline, tailoring it to the audience at hand. Should the focus be on a result about the underlying structures of group actions? . . . .

[2] Gottschall, J. , The Storytelling Animal ,
       Houghton Mifflin Harcourt, 2012.

— "Giving Good Talks,"  by Satyan L. Devadoss

"Before time began, there was the Cube." — Optimus Prime

Thursday, September 19, 2019

OOP

Filed under: General — Tags: , — m759 @ 12:00 pm

"… objects have a notion of 'this' or 'self.' " — Wikipedia

For related notions, see other posts tagged Quark Rock and

"Before time began, there was the Cube." — Optimus Prime

Monday, August 12, 2019

Never-Ending Toy Story

Filed under: General — Tags: , — m759 @ 1:40 pm

" … this beautiful love story . . . ."

An image from the previous post:

The above line "From the producer of Transformers " suggests
a story from March 18, 2019 . . .

      Misreading the words of di Bonaventura
yields a phrase that might be applied to 
the Church of Rome . . .
     "A franchise based on release dates." 
See dies natalis  in this journal.

     For the Church of Synchronology, see
the above di Bonaventura date, March 18.

     Then there is the Church of Cubism . . .

     "Before time began, there was the Cube."
     — Optimus Prime, Transformers , 2007

Sunday, December 30, 2018

Also Sprach Aitchison

Filed under: General — Tags: , , — m759 @ 2:48 pm

The New Yorker  reviewing "Bumblebee"

"There is one reliable source for superhero sublimity,
and it’s all the more surprising that it’s a franchise with
no sacred inspiration whatsoever but, rather, of purely
and unabashedly mercantile origins: the 'Transformers'
series, based on a set of toys, in which Michael Bay’s
exhilarating filmmaking offers phantasmagorical textures
of an uncanny unconscious resonance."

— Richard Brody on December 29, 2018

"Before time began, there was the Cube."

— Optimus Prime

Iain Aitchison on symmetric generation of M24

Some backstory — A Riddle for Davos,  Jan. 22, 2014.

Wednesday, December 5, 2018

The Hassenfeld Legacy

Filed under: General — m759 @ 11:30 am

The Finkelstein Talisman —

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

"Before time began, there was the Cube."

— Optimus Prime in "Transformers" (Paramount, 2007)
 

Wikipedia on Hasbro

Three American Jewish brothers,[6] Herman, Hillel, and Henry Hassenfeld[7] 
founded Hassenfeld Brothers in Providence, Rhode Island in 1923 . . . .
 

The Hassenfeld Auction — 

Also on September 16, 2015 —


 

The Hindman Image —

The Hood Warenkorb —

Under the Hood —

Megan Fox in "Transformers" (2007) —


 

This Way to the Egress —

Wednesday, March 7, 2018

Unite the Seven.

Filed under: General,Geometry — Tags: , , , — m759 @ 10:31 am


Related material —

The seven points of the Fano plane within 

The Eightfold Cube.
 

Weyl on symmetry, the eightfold cube, the Fano plane, and trigrams of the I Ching


"Before time began . . . ."

  — Optimus Prime

Tuesday, February 13, 2018

Attention Must Be Paid

Filed under: General — m759 @ 7:06 pm

For the late Anne M. Treisman, who reportedly died Friday, Feb. 9:

From "A Feature-Integration Theory of Attention" —

"The controversy between analytic and synthetic theories
of perception goes back many years: the Associationists
asserted that the experience of complex wholes is built
by combining more elementary sensations, while the
Gestalt psychologists claimed that the whole precedes
its parts, that we initially register unitary objects and
relationships, and only later, if necessary, analyze these
objects into their component parts or properties. This view 
is still active now . . . ."

— Anne M. Treisman, University of British Columbia,
and Garry Gelade, Oxford University, in
Cognitive Psychology  12, 97-136 (1980)

"Before time began, there was the Cube." — Optimus Prime

Friday, December 15, 2017

Matter

Filed under: General — m759 @ 3:15 pm

The previous post, "Mind," suggests a search for "n+1" in this journal.
From that search —

The above psychoanalytic remarks suggest . . .

See also "Transformers" (2007).

"Before time began, there was the Cube."

— Optimus Prime

Friday, October 13, 2017

Speak, Memra

Filed under: General,Geometry — Tags: — m759 @ 11:59 am

The above was suggested by a Log24 review of October 13, 2002,
which in turn suggested a Log24 search for Carousel that yielded
(from Bloomsday Lottery) —

See as well Asimov's "prime radiant," and an illustration
of the number 13 as a radiant prime

"The Prime Radiant can be adjusted to your mind,
and all corrections and additions can be made
through mental rapport. There will be nothing to
indicate that the correction or addition is yours.
In all the history of the Plan there has been no
personalization. It is rather a creation of all of us 
together. Do you understand?"  

"Yes, Speaker!"

— Isaac Asimov, 
    Second Foundation , Ch. 8: Seldon's Plan

"Before time began, there was the Cube."
— Optimus Prime

See also Transformers in this journal.

Saturday, October 7, 2017

Byte Space

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 7:59 pm

The Eightfold Cube

"Before time began,
there was the Cube."

Optimus Prime

Friday, July 7, 2017

A Prime Radiant for Krugman

Filed under: General — Tags: , — m759 @ 6:00 am

Paul Krugman:
Asimov’s Foundation  novels grounded my economics

In the Foundation  novels of Isaac Asimov

“The Prime Radiant can be adjusted to your mind, and all
corrections and additions can be made through mental rapport.
There will be nothing to indicate that the correction or addition
is yours. In all the history of the Plan there has been no
personalization. It is rather a creation of all of us together.
Do you understand?”

“Yes, Speaker!”

— Isaac Asimov, Second Foundation , Ch. 8: Seldon’s Plan

Before time began, there was the Cube.

See also Transformers in this journal.

Tuesday, June 6, 2017

Cultist Drama

Filed under: General — Tags: , — m759 @ 9:00 pm

Rosalind Krauss on the drama of 'the cultist space of modern art'

From a post of last Friday, June 2

See also Transformers in this journal.

"Before time began, there was the Cube."

  — Transformers  (2007)

Saturday, March 11, 2017

Transformer Group*

Filed under: General — m759 @ 12:45 pm

"Before time began, there was the Cube." — Transformers  (2007)

Plot summary — "An ancient struggle between two Cybertronian races,
the heroic Autobots and the evil Decepticons, comes to Earth, with
a clue to the ultimate power held by a teenager."

* A post suggested by J. D. Salinger's phrase "a fresh impetus"
  in "Raise High the Roof Beam, Carpenters" (1955)

Saturday, February 25, 2017

Pronouncements

Filed under: General — m759 @ 9:45 am

"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."

Those who prefer Fish's abstractions  may consult 
the previous post.

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