"Before time began . . ." — Optimus Prime
Structures from pure mathematics, by Plato and R. T. Curtis —
* See other "Preform" posts in this journal.
"Before time began . . ." — Optimus Prime
Structures from pure mathematics, by Plato and R. T. Curtis —
* See other "Preform" posts in this journal.
("Miniaturist of Modernism" → "Windows on World")
(Women's Center → Central Intelligence)
This post was inspired by eBay —

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Memories, Dreams, Reflections
Recorded and edited By Aniela Jaffé, From pages 195-196:
“Only gradually did I discover what the mandala really is:
* Faust , Part Two, trans. by Philip Wayne (Harmondsworth,
… Gestaltung, Umgestaltung,
Jung’s “Formation, Transformation” quote is from The speaker is Mephistopheles. |
"I have too much backstory" — Bryan Cranston, 2012
Or not enough.
"I would drop the keystone into my arch . . . ."
Click the Auto Body image for some backstory.
* For the church, see Transformers in this journal.
"The transformed urban interior is the spatial organisation of
an achiever, one who has crossed the class divide and who uses
space to express his membership of, not aspirations towards,
an ascendant class in our society: the class of those people who
earn their living by transformation— as opposed to the mere
reproduction— of symbols, such as writers, designers, and
academics"
— The Social Logic of Space ,
by Bill Hillier and Julienne Hanson,
Cambridge University Press, 1984
For another perspective on the achievers, see The Deceivers .
Related material —
Exhibit A:
Exhibit B:
Exhibit C:
"Transformations , Anne Sexton’s 1971 collection of poems, is a portal."
— "A Poisonous Antidote," by Nick Ripatrazone, at themillions.com
at noon on October 22, 2015
"You see, opening dimensional portals is a tricky business."
— The librarian in "Buffy the Vampire Slayer," season 1, episode 2
See also Transformers in this journal.
Synchronology —
"Objective Quality" in this journal on the date of the above review,
October 22, 2015, at 2:26 AM ET.
Accentuating the positive —
"Among Mr. Grey’s accomplishments is
the enormously lucrative “Transformers” franchise;
a new installment is scheduled for this summer."
See as well (Click to enlarge) . . .
Megan Fox in "Transformers" (2007) —
Addendum: Where credit is due . . .
See also posts from the above Emma Watson Prada date — 15 Dec. 2022.
"When things go bonkers, you have to adapt."
— Chris Hemsworth as Dementus in "Furiosa" (2024)
"Before time began, there was the Cube."
— Optimus Prime in "Transformers" (2007)
Today, an animated Transformers opens, with
Chris Hemsworth as the voice of Optimus Prime.
Also today: The new tag "Cubehenge" in this journal.
"kalosmi lokaksaya krt pravrddho"
Also on July 13, 2023 . . .
From the Publications webpage of Dan Gordon —
Math Databases on the Cheap,
lightning talk at LuCaNT, July 2023.
Background from 2022 —
Gordon's informative webpage on mathematical repositories:
https://ljcr.dmgordon.org/cwm/jupyter_book/math_repos.html.
See also ICERM in this journal on November 14, 2012.
"Before time began, there was the Cube." — Optimus Prime in "Transformers"
This journal at 9 PM ET March 17, 2023 —
The use of binary coordinate systems as a conceptual tool
Natural physical transformations of square or cubical arrays
of actual physical cubes (i.e., building blocks) correspond to
natural algebraic transformations of vector spaces over GF(2).
This was apparently not previously known.
See "The Thing and I."
See as well today's post Geometry for Belgium.
"As McCarthy peers through the screen, or veil, of technological modernity
to reveal the underlying symbolic structures of human experience,
The Making of Incarnation weaves a set of stories one inside the other,
rings within rings, a perpetual motion machine."
— Amazon.com description of a novel published on All Souls' Day
(Dia de los Muertos), 2021.
See also the underlying symbolic structures of Boolean functions . . .
as discussed, for instance, on Sept. 23 at medium.com —
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.
Update of 4:40 AM ET —
Other mystical figures —
"Before time began, there was the Cube."
— Optimus Prime in "Transformers" (Paramount, 2007)
"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
As above, Black's theology forms a cube.
"Metaphor in language — the prime mover"
— George Steiner in Real Presences (1989)
Not so prime —
See also the "Transformers" marketing saga.
Related marketing:
Disney Easter eggs —
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 —
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From "The First Major Theoretician? Northrop Frye 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 …. |
Also on February Seventh —
Sunday, February 7, 2021
Transformers Continues.“Before time began, there was the Cube.” Et cetera . |
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