Log24

Wednesday, October 9, 2024

October 9 Apollo

Filed under: General — Tags: — m759 @ 10:09 am

Vide  http://m759.net/wordpress/?s="October+9"+Apollo .

Tuesday, October 8, 2024

Dogfawn Meets Catgirl: Tangled Up in Green

Filed under: General — Tags: — m759 @ 10:13 pm

Update: Annals of Disambiguation

See as well Autist Artist  in this journal.

Monday, September 30, 2024

September Song, Day XXX:
“One, two, three . . . But where is the fourth?”

Filed under: General — Tags: — m759 @ 8:23 am

The "Where is the fourth?" question above is also by Plato.

One possible answer . . .

Other possible "fourth" locations . . .


Art and Evangelist

Pizza photo credit:  Marcela Nowak on Instagram

Saturday, September 28, 2024

For Michaelmas Eve —
Ex Fano Apollinis:  All About Eve(s)

Filed under: General — Tags: , — m759 @ 10:56 am

Architectural Singularity

Filed under: General — Tags: , — m759 @ 5:08 am

Embedded in the Sept. 26  New Yorker  review of Coppola's
Megalopolis is a ghostly transparent pyramidal figure . . .

The pyramidal figure is not unrelated to Scandia.tech

 

American Mathematical Monthly, Vol. 92, No. 6
(June-July 1985), p. 443

 

LETTERS TO THE EDITOR

Material  for this department should be prepared exactly the same way as submitted manuscripts (see the inside front cover) and sent to Professor P. R. Halmos, Department of Mathematics, University of Santa Clara, Santa Clara, CA 95053

Editor:

    Miscellaneum 129 ("Triangles are square," June-July 1984 Monthly ) may have misled many readers. Here is some background on the item.

    That n2 points fall naturally into a triangular array is a not-quite-obvious fact which may have applications (e.g., to symmetries of Latin-square "k-nets") and seems worth stating more formally. To this end, call a convex polytope P  an n-replica  if  P  consists of n mutually congruent polytopes similar to P  packed together. Thus, for n ∈ ℕ,

    (A) An equilateral triangle is an n-replica if and only if n is a square.

    Does this generalize to tetrahedra, or to other triangles? A regular tetrahedron is not a (23)-replica, but a tetrahedron ABCD  with edges AB, BC, and CD  equal and mutually orthogonal is an n-replica if and only if n is a cube. Every triangle satisfies the "if" in (A), so, letting T  be the set of triangles, one might surmise that

    (B) tT (t is an n-replica if and only if n is a square).

     This, however, is false. A. J. Schwenk has pointed out that for any m ∈ ℕ, the 30°-60°-90° triangle is a (3m2)-replica, and that a right triangle with legs of integer lengths a and b is an ((a+ b2)m2)-replica. As Schwenk notes, it does not seem obvious which other values of n can occur in counterexamples to (B). Shifting parentheses to fix (B), we get a "square-triangle" lemma:

    (C) ( tT, t  is an n-replica) if and only if n is a square.
   
    Miscellaneum 129 was a less formal statement of (C), with quotation marks instead of parentheses; this may have led many readers to think (B) was intended. To these readers, my apology.
 

Steven H. Cullinane      
501 Follett Run Road     
Warren, PA 16365         

The Matrix Revisited:
The World Will Always Welcome . . . I-Beams?

Filed under: General — Tags: , , — m759 @ 4:38 am

Thursday, September 26, 2024

Against Dryness:  Coppola as Lear ?

Filed under: General — Tags: , , — m759 @ 4:10 pm

Iris Murdoch as above —

"… even Hamlet  looks second-rate compared with Lear.
Only the very greatest art invigorates without consoling,
and defeats our attempts, in W. H. Auden's words,
to use it as magic."

"Francis Ford Coppola
Re-enters a Changed Hollywood.
It Could Be Rough.
"

Brooks Barnes in The New York Times  today —

"Hollywood marketers tend to use a playbook that begins with
boiling a movie down to a single, salable genre. Is this a comedy
or a drama? It can’t be both, they will tell you. Consumers want
a clear idea of what they are getting. Strong reviews can help,
but only to a degree.

But 'Megalopolis' is unboilable. It’s an avant-garde, dystopian,
science-fiction fable that veers into satire, fever dream, mystery,
romance and comedy."

Wednesday, April 10, 2024

Theater Obituary: Data and Metadata

Filed under: General — Tags: , — m759 @ 10:52 am

Data —

Metadata —

"Share link" —

https://g.co/kgs/uwczGLA

Friday, November 17, 2023

Classicism Continued: An Apotheosis of Modernity

Filed under: General — Tags: , — m759 @ 12:34 pm
 

From Chapter 23, "Poetry," by Adam Parkes, in
A Companion to Modernist Literature and Culture,
edited by David Bradshaw and Kevin J. H. Dettmar,
Blackwell Companions to Literature and Culture,
© 2006 by Blackwell Publishing Ltd.

Writing in 1910–11, the English poet and critic T. E. Hulme claimed that the two major traditions in poetry, romanticism and classicism, were as different as a well and a bucket. According to the romantic party, Hulme explained, humankind is “intrinsically good, spoilt by circumstance”; that is, our nature is “a well, a reservoir full of possibilities.” For the classical party, however, human nature is “like a bucket”; it is “intrinsically limited, but disciplined by order and tradition to something fairly decent” (Hulme 1987: 117). But it was not only that romanticism and classicism were as dissimilar as a well and a bucket; their contents were different, too. To draw water from the well of romanticism was, in effect, to pour a “pot of treacle over the dinner table,” while the classical bucket was more likely to be full of little stones – or jewels, perhaps. Romanticism, in Hulme’s view, was the result of displaced religious fervor; it represented the return of religious instincts that the “perverted rhetoric of Rationalism” had suppressed, so that “concepts that are right and proper in their own sphere are spread over, and so mess up, falsify and blur the clear outlines of human experience” (Hulme 1987: 118). Classicism, by contrast, traded in dry goods – dry, hard goods, to be precise.

Hulme left little doubt as to which side he was on. “It is essential to prove,” he argued, “that beauty may be in small, dry things. The great aim is accurate, precise and definite description. . . . I prophesy that a period of dry, hard, classical verse is coming” (Hulme 1987: 131–3). If by “dry, hard, classical verse” Hulme meant poems looking like the fragments of Sappho, he didn’t have to wait long to see his prophecy fulfilled.

The hard sand breaks,
and the grains of it
are clear as wine.

Far off over the leagues of it,
the wind,

228

playing on the wide shore,
piles little ridges,
and the great waves
break over it.

So wrote Hilda Doolittle in “Hermes of the Ways,” the first poem that she signed “H. D., Imagiste” at the behest of her fellow American expatriate Ezra Pound. From Pound’s perspective, the Imagist movement that he co-founded in 1912 with H. D. and the English poet Richard Aldington was finished well before the First World War began in August 1914; throughout this war-torn decade, however, Imagism continued to spawn the poetry of “small, dry things” whose coming Hulme had predicted a few years before.

Indeed, modernist poets weren’t content merely to break down the extended heroic narratives – the “spilt religion,” as Hulme put it – of their treacly nineteenthcentury predecessors; they insisted on breaking down small things into ever-smaller particles and subparticles. This logic of disintegration is clearly at work in poems like “Hermes of the Ways,” where each line is metrically unique, creating a sense of perpetual freshness – an apotheosis of modernity, as it were.

REFERENCE

Hulme, T. E. (1987). Speculations: Essays on Humanism and the Philosophy of Art, ed. Herbert Read. London and New York: Routledge and Kegan Paul. First published 1924.

Compare and contrast:

Jeremy Gray,
Plato's Ghost: The Modernist Transformation of Mathematics,
Princeton University Press, first edition Sept. 22, 2008

"Here, modernism is defined as an autonomous body of ideas,
having little or no outward reference, placing considerable emphasis
on formal aspects of the work and maintaining a complicated—
indeed, anxious— rather than a naïve relationship with the
day-to-day world, which is the de facto view of a coherent group
of people, such as a professional or discipline-based group
that has a high sense of the seriousness and value of what it is
trying to achieve. This brisk definition…."

(Quoted at the webpage Solomon's Cube.)

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