Log24

Friday, August 20, 2021

Space Note

Filed under: General — Tags: — m759 @ 7:50 PM

"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 —

IMAGE- 'Solid Symmetry' by Steven H. Cullinane, Dec. 24, 1981

The above recollection of the Kummer Threefold  remark was suggested by
recent posts now tagged Smallfield . . .

"Third Man – an elderly American railway bum,
a schizophrenic, speaks with a Southern drawl"

"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.

Symbols and Mysteries

Filed under: General — Tags: , — m759 @ 8:40 AM

Japanese Steel

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

“Character and action, you brought together” —
Keanu Reeves to the late Sonny Chiba.

Thursday, August 19, 2021

A Subtle Knife for Sean

Filed under: General — Tags: — m759 @ 11:34 AM

From yesterday morning's post "What's in a Name?" —

"Third Man – an elderly American railway bum,
a schizophrenic, speaks with a Southern drawl"

"Art to which I fix my celebrated signature."

— "Third Man" in Victor Snaith's play "Changing Stations"

In the above Facebook post, a dead person speaks —

"You and I are separated by a thin piece of silk
which neither the strongest man could tear,
nor the sharpest tool could pierce.
Nothing can cross this membrane that divides us
except art, music, poetry and love."

Try a subtle knife, Sean.

Related material —

Wednesday, August 18, 2021

What’s in a Name?

Filed under: General — Tags: — m759 @ 10:38 AM

"Third Man – an elderly American railway bum,
a schizophrenic, speaks with a Southern drawl"

"Art to which I fix my celebrated signature."

— "Third Man" in Victor Snaith's play "Changing Stations"

"Snaithing  may thus be Smallfield . . . ."

Saturday, November 19, 2016

Game

Filed under: General — Tags: — m759 @ 6:00 PM

"The high-end diamond game is played
on a very small field by only a few players."

Matthew Hart in Vanity Fair , Sept. 2016 issue 

Alicia Vikander and Matt Damon in "Jason Bourne" (2016).
The linked-to trailer was uploaded on April 20, 2016.

For related entertainment, see posts of April 2016… 
in particular, those related to the April 20 death of
"Diamonds Are Forever" director Guy Hamilton.

Wednesday, June 17, 2015

Slow Art, Continued

Filed under: General,Geometry — Tags: , — m759 @ 10:01 AM

The title of the previous post, "Slow Art," is a phrase
of the late art critic Robert Hughes.

Example from mathematics:

  • Göpel tetrads as subsets of a 4×4 square in the classic
    1905 book Kummer's Quartic Surface  by R. W. H. T. Hudson.
    These subsets were constructed as helpful schematic diagrams,
    without any reference to the concept of finite  geometry they
    were later to embody.
     
  • Göpel tetrads (not named as such), again as subsets of
    a 4×4 square, that form the 15 isotropic projective lines of the
    finite projective 3-space PG(3,2) in a note on finite geometry
    from 1986 —

     

    Göpel tetrads in an inscape, April 1986

  • Göpel tetrads as these figures of finite  geometry in a 1990
    foreword to the reissued 1905 book of Hudson:

IMAGE- Galois geometry in Wolf Barth's 1990 foreword to Hudson's 1905 'Kummer's Quartic Surface'

Click the Barth passage to see it with its surrounding text.

Related material:

Monday, June 15, 2015

Slow Art

Filed under: General — Tags: , , — m759 @ 2:03 PM

Slowness is sometimes in the eye of the beholder.

See this journal on Slow Art Day 2015.

Related material: Epistemic States in this journal.

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