Not So Blank —
McLuhan's "Retrieves" part —
From Hudson's 1905 classic
Kummer's Quartic Surface —
For those who prefer bullshit, a first-rate example of the genre —
Wednesday, February 25, 2026
Saturday, December 27, 2025
Raiders of the Lost Overview
For a less biblical "locked box" overview, see
all other posts now tagged Kummerhenge.
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Friday, December 26, 2025
Folk Etymology
For those who might guess that the name Hirzebruch in German
means "heartbreak" . . .
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After Hirzebruch
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Monday, September 1, 2025
Friday, August 22, 2025
Friday, May 2, 2025
Japan and Germany in the arXiv
Will the above arXiv date, May 10, 2024 . . . live in infamy ?
. . . Vide May 10, 2024, in this journal . . .
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Fact Hunt
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Wednesday, March 12, 2025
Dirac, Kummer, Hudson, and the 16 Points
From the January 2025
Bulletin of the American Mathematical Society :
Some background for the above article's conclusion —
For some related material . . .
Search for "Hudson Kummer Quartic" in Log24.
A song for Singer . . .
"I've got this problem when I'm reading a book
Know there's an ending, so I can't help but look"
— Early James, "I Got This Problem" lyrics
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Sunday, February 23, 2025
Quantum Chip?
Perhaps … For news of greater permanent interest,
see The Angel Particle (Log24, Dec. 7, 2018).
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Sunday, October 6, 2024
For New York Times Fans*
Who Prefer Witchcraft to Reason
* See Fire Temple as well as the previous post and . . .
Letters to Goya, by James Magee, October 5, 2019.
(That 2019 Magee performance was at The Crowley Theater
in Marfa . . . NOT named for Aleister Crowley.)
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Who Prefer Witchcraft to Reason
Who Prefer Witchcraft to Reason
Tuesday, July 2, 2024
Arrière-garde
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Monday, October 30, 2023
Red October Revisited
A New Yorker piece from October 7th, 2023 —
"Terry Bisson's History of the Future" . . .
The "May 19th" name "was derived from the birthdays
of Ho Chi Minh and Malcolm X." — Wikipedia
And then there is the May 19 Gestalt . . .
For a prequel of sorts, see a May 19, 2023, arXiv paper —
Related Log24 reading: Other posts tagged Kummerhenge.
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Wednesday, October 4, 2023
Quantum Dots: “The Thing and I” Continues.
See as well "The Thing and I."
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Tuesday, May 30, 2023
The Tour
In memory of a co-founder of Hollywood's "Magic Castle"
who reportedly died at 92 on Sunday . . .
From posts that were tagged "Blake Tour" on Sunday —
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Tuesday, April 25, 2023
For the Crimson Abyss
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Monday, October 10, 2022
Seeking the Path
See also a Log24 search for "The Path."
Related material from a similar search
for "Nanavira Thera" —
"I am glad you have discovered that the situation is comical:
ever since studying Kummer I have been, with some difficulty,
refraining from making that remark."
— Nanavira Thera, Seeking the Path [Early Letters, 17 July 1958].
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Monday, August 1, 2022
Review
From Log24 posts tagged Art Space —
From a paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
“The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader,
and Bernd Sturmfels —
Two such considerations —
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Sunday, June 26, 2022
Friday, March 18, 2022
Found† in Space*
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Tuesday, March 15, 2022
The Rosenhain Symmetry
See other posts now so tagged.
Hudson's Rosenhain tetrads, as 20 of the 35 projective lines in PG(3,2),
illustrate Desargues's theorem as a symmetry within 10 pairs of squares
under rotation about their main diagonals:
See also "The Square Model of Fano's 1892 Finite 3-Space."
The remaining 15 lines of PG(3,2), Hudson's Göpel tetrads, have their
own symmetries . . . as the Cremona-Richmond configuration.
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Sunday, March 6, 2022
Overarching Symmetries
By the Daniel J. Peterson whose Swarthmore honors thesis was quoted
here last night —
"What, then, is the relationship between theory-relative symmetries
(physical symmetries) and theory-independent symmetries
(overarching symmetries)? My statement of this problem is
a bit abstract, so let’s look at an example: classical Newtonian gravity
and classical electromagnetism . . . ."
— Prospects for a New Account of Time Reversal
by Daniel J. Peterson, Ph.D. dissertation, U. Mich., 2013, p. 16.
Another 2013 approach to the word "overarching" and sytmmetries —
Other terms of interest: Tenet , Nolanism , and Magic for Liars .
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Sunday, February 20, 2022
4×4 Nomenclature
The geometry of the 4×4 square may be associated with the name
Galois, as in "the Galois tesseract," or similarly with the name Kummer.
Here is a Google image search using the latter name —
(Click to enlarge.)
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Saturday, January 29, 2022
On the Diamond-Theorem Group* of Order 322,560
Taormina and Wendland have often discussed this group, which they
call "overarching" within the context of their Mathieu-moonshine research.
This seems to be the first time they have attempted to explore its geometric
background as an affine group, apart from its role as "the octad group" in the
researches of R. T. Curtis and John Conway on the large Mathieu group M24.
* See a Log24 post of June 1, 2013.
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Friday, August 20, 2021
Space Note
"Consider the six-dimensional vector space ( 𝔽2 )6
over the two-element field 𝔽2 ."
— Page 23 of "The Universal Kummer Threefold,"
arXiv:1208.1229v3, 12 June 2013, by Qingchun Ren,
Steven V. Sam, Gus Schrader, and Bernd Sturmfels.
An illustration of that space from 1981 —
The above recollection of the Kummer Threefold remark was suggested by
recent posts now tagged Smallfield . . .
|
"Third Man – an elderly American railway bum, "Art to which I fix my celebrated signature." — "Third Man" in Victor Snaith's play "Changing Stations"
|
If we read the above "art" as a scythe blade to which the "signature" —
Snaith ("the crooked handle or shaft of a scythe") — is attached,
an image of the late art critic Robert Hughes comes to mind:
That image of Hughes appeared here in a post of June 17, 2015 —
"Slow Art, Continued" — that also referenced the Kummer Threefold
paper above.
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Thursday, June 3, 2021
Notes towards the Redefinition of Culture
"My little horse must think it queer" — Robert Frost.
This is from a poem mentioned here on December 22, 2004,
in a post titled "The Longest Night."
Related material from December 21, 2004 —
And then there is the Timeless Square . . .
See "Framed" (May 30) and "In Memory of Ernst Eduard Kummer" (May 14).
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Friday, May 14, 2021
In Memory of Ernst Eduard Kummer
(29 January 1810 – 14 May 1893)
See as well some earlier references to diamond signs here .
The proper context for some diamond figures that I am interested in
is the 4×4 array that appears, notably, in Hudson's 1905 classic
Kummer's Quartic Surface . Hence this post's "Kummerhenge" tag,
suggested also by some monumental stonework at Tufte's site.
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Tuesday, December 8, 2020
Another Damned Dyslexic
The Importance of Being Ernst —
In the above Wikipedia revision today, the anonymous user “Redactedentity”
found that the article Kummer surface omitted Kummer’s first name
and so changed “authorlink=Ernst Kummer|last=Kummer” to
“authorlink=Ernst Kummer|last=Ernst Kummer.” This fixed the
omission but makes no sense as a statement of parameters.
“Redactedentity” was apparently unable to read the following page,
which explains that “last=” is for the author’s last name —
Of course, this revision may be merely an instance of trolling or of
the sort of humor sometimes found among people with the following
interests:
See also Pazouzou.
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Thursday, December 3, 2020
Brick Joke
The "bricks" in posts tagged Octad Group suggest some remarks
from last year's HBO "Watchmen" series —
Related material — The two bricks constituting a 4×4 array, and . . .
"(this is the famous Kummer abstract configuration )"
— Igor Dolgachev, ArXiv, 16 October 2019.
As is this —
.
The phrase "octad group" does not, as one might reasonably
suppose, refer to symmetries of an octad (a "brick"), but
instead to symmetries of the above 4×4 array.
A related Broomsday event for the Church of Synchronology —
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Monday, November 23, 2020
In the Garden of Adding
“In the garden of Adding,
Live Even and Odd….”
— The Midrash Jazz Quartet in
City of God , by E. L. Doctorow
Related material — Schoolgirls and Six-Set Geometry.
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