Log24

Friday, July 25, 2014

Magic in the Moonshine

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

“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”

— Joseph Conrad in Heart of Darkness

“By groping toward the light we are made to realize
how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118

Spectral evidence is a form of evidence
based upon dreams and visions.” —Wikipedia

See also Moonshine (May 15, 2014) and, from the date of the above
New York Times  item, two posts tagged Wunderkammer .

Related material: From the Spectrum program of the Mathematical
Association of America, some non-spectral evidence.

Thursday, May 15, 2014

Moonshine

Filed under: General — m759 @ 2:56 PM

“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”

— Joseph Conrad in Heart of Darkness

Photo of full moon over Oslo last night by Josefine Lyche:

A scene from my film viewing last night:

Some background (click to enlarge):

Note:

The “I, Frankenstein” scene above should not be interpreted as
a carrying of Martin Gardner through a lyche gate.  Gardner
is, rather, symbolized by the asterisk in the first image from
the above Google search.

Thursday, September 5, 2013

Moonshine II

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

(Continued from yesterday)

The foreword by Wolf Barth in the 1990 Cambridge U. Press
reissue of Hudson's 1905 classic Kummer's Quartic Surface
covers some of the material in yesterday's post Moonshine.

The distinction that Barth described in 1990 was also described, and illustrated,
in my 1986 note "Picturing the smallest projective 3-space."  The affine 4-space
over the the finite Galois field GF(2) that Barth describes was earlier described—
within a 4×4 array like that pictured by Hudson in 1905— in a 1979 American
Mathematical Society abstract, "Symmetry invariance in a diamond ring."

"The distinction between Rosenhain and Goepel tetrads
is nothing but the distinction between isotropic and
non-isotropic planes in this affine space over the finite field."

The 1990 paragraph of Barth quoted above may be viewed as a summary
of these facts, and also of my March 17, 2013, note "Rosenhain and Göpel
Tetrads in PG(3,2)
."

Wednesday, September 4, 2013

Moonshine

Filed under: General,Geometry — Tags: , , — m759 @ 4:00 PM

Unexpected connections between areas of mathematics
previously thought to be unrelated are sometimes referred
to as "moonshine."  An example—  the apparent connections
between parts of complex analysis and groups related to the 
large Mathieu group M24. Some recent work on such apparent
connections, by Anne Taormina and Katrin Wendland, among
others (for instance, Miranda C.N. Cheng and John F.R. Duncan),
involves structures related to Kummer surfaces .
In a classic book, Kummer's Quartic Surface  (1905),
R.W.H.T. Hudson pictured a set of 140 structures, the 80
Rosenhain tetrads and the 60 Göpel tetrads, as 4-element
subsets of a 16-element 4×4 array.  It turns out that these
140 structures are the planes of the finite affine geometry
AG(4,2) of four dimensions over the two-element Galois field.
(See Diamond Theory in 1937.) 

A Google search documents the moonshine
relating Rosenhain's and Göpel's 19th-century work
in complex analysis to M24  via the book of Hudson and
the geometry of the 4×4 square.

Saturday, April 9, 2016

Expanding the Spielfeld (continued)

Filed under: General — Tags: — m759 @ 9:00 PM

"Mr. Conrad was relentless and rigorous in expanding
the parameters of the fields in which he worked."

The New York Times  today

See also Spielfeld in this  journal, as well as Conrad Moonshine.

Thursday, September 5, 2013

Kernel and Glow

Filed under: General — Tags: — m759 @ 11:01 AM

"The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine."

— Joseph Conrad in Heart of Darkness

Kernel — See Nocciolo.

Glow — See Moonshine and Moonshine II.

See also Cold Open (Jan. 29, 2011) and
Where Entertainment is God (Aug. 25, 2013).

Wednesday, October 31, 2012

Speak, Memory

Filed under: General — Tags: — m759 @ 8:28 PM

"… the effective work of memory is the very definition of art."

— "In Memoriam: Chris Marker," by Richard Brody,
      New Yorker  weblog post, July 30, 2012

New York Lottery this evening: 178, 0772.

Definition:  See 178 on May 25, 2012.
Art:  See 772 on Nov. 21, 2010 and Harvard Black Diamond.

Moonshine:
The time of this post, 8:28, may be taken as
a reference to the date, 8/28, of the Feast of St. Augustine.
Augustine's remarks on memory are not without interest.

Wednesday, October 24, 2012

In a Nutshell

Filed under: General — m759 @ 9:00 PM

(Continued)

"The yarns of seamen have a direct simplicity,
the whole meaning of which
lies within the shell of a cracked nut.
But Marlow was not typical
(if his propensity to spin yarns be excepted),
and to him the meaning of an episode
was not inside like a kernel but outside,
enveloping the tale which brought it out
only as a glow brings out a haze,
in the likeness of one of these misty halos
that sometimes are made visible by
the spectral illumination of moonshine."

— Joseph Conrad in Heart of Darkness

Friday, December 23, 2011

Star Quality

Filed under: General — m759 @ 1:09 AM

(Continued)

IMAGE- NYT obits: Jacob Goldman, Doe Avedon, Don Sharp

"The horror! The horror!"

IMAGE- Alyssa Milano in 'Embrace of the Vampire'

Sunday, April 3, 2011

On to Chicago!

Filed under: General — m759 @ 12:00 PM

Commentary on last night

http://www.log24.com/log/pix11/110403-Macushla.jpg

Tonight: The After-Party.

In related news

http://www.log24.com/log/pix11/110403-TorinoApocalypse.jpg

"The yarns of seamen have a direct simplicity, the whole meaning of which
lies within the shell of a cracked nut. But Marlow was not typical
(if his propensity to spin yarns be excepted), and to him the meaning
of an episode was not inside like a kernel but outside, enveloping the tale
which brought it out only as a glow brings out a haze, in the likeness of
one of these misty halos that sometimes are made visible by
the spectral illumination of moonshine."

– Joseph Conrad in Heart of Darkness , quoted here in
   Cold Open (Saturday night, January 29, 2011)

Saturday, January 29, 2011

Cold Open

Filed under: General — m759 @ 11:16 PM

Kernel and Moonshine

"The yarns of seamen have a direct simplicity, the whole meaning of which lies within the shell of a cracked nut. But Marlow was not typical (if his propensity to spin yarns be excepted), and to him the meaning of an episode was not inside like a kernel but outside, enveloping the tale which brought it out only as a glow brings out a haze, in the likeness of one of these misty halos that sometimes are made visible by the spectral illumination of moonshine."

— Joseph Conrad in Heart of Darkness

Some background—

Spider and Snake on cover of Fritz Leiber's novel Big Time

An image from yesterday's search
God, TIme, Hopkins

"We got tom-toms over here bigger than a monster
Bla Bla Bla Bla Bla Bla Bla Bla"

— "Massive Attack"

"I'm just checking your math on that. Yes, I got the same thing."

— "The Social Network"

"Live… Uh, check thatFrom New York, it's Saturday Night! "

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