Tuesday, May 7, 2019


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

"Honored in the Breach:
Graham Bader on Absence as Memorial"

Artforum International , April 2012 

. . . .

"In the wake of a century marked by inconceivable atrocity, the use of emptiness as a commemorative trope has arguably become a standard tactic, a default style of public memory. The power of the voids at and around Ground Zero is generated by their origin in real historical circumstance rather than such purely commemorative intent: They are indices as well as icons of the losses they mark.

Nowhere is the negotiation between these two possibilities–on the one hand, the co-optation of absence as tasteful mnemonic trope; on the other, absence's disruptive potential as brute historical scar–more evident than in Berlin, a city whose history, as Andreas Huyssen has argued, can be seen as a 'narrative of voids.' Writing in 1997, Huyssen saw this tale culminating in Berlin's post-wall development, defined equally by an obsessive covering-over of the city's lacunae–above all in the elaborate commercial projects then proliferating in the miles-long stretch occupied until 1989 by the Berlin Wall–and a carefully orchestrated deployment of absence as memorial device, particularly in the 'voids' integrated by architect Daniel Libeskind into his addition to the Berlin Museum, now known as the Jewish Museum Berlin."
. . . .

See also Breach  in this  journal. 

Friday, March 15, 2019

The Breach Report

Filed under: General — m759 @ 12:20 PM

See also two notes of my own, from Nov. 5 and Dec. 24, 1981.

Sunday, March 17, 2019


Filed under: General — m759 @ 4:02 PM

"Watch the trailer." — This journal on Eliza Doolittle Day, 2012.

Carol and Thor... 'easily the best part' in 'Avengers: Endgame' trailer

Midrash — March 14 remarks on geometry from Christchurch, New Zealand

Sunday, January 1, 2017

Like the Horizon

Filed under: General,Geometry — Tags: , , — m759 @ 1:00 PM

(Continued from a remark by art critic Peter Schjeldahl quoted here
last  year on New Year’s Day in the post “Art as Religion.”)

“The unhurried curve got me.
It was like the horizon of a world
that made a non-world of
all of the space outside it.”

— Peter Schjeldahl, “Postscript: Ellsworth Kelly,”
The New Yorker , December 30, 2015

This suggests some further material from the paper
that was quoted here yesterday on New Year’s Eve —

“In teaching a course on combinatorics I have found
students doubting the existence of a finite projective
plane geometry with thirteen points on the grounds
that they could not draw it (with ‘straight’ lines)
on paper although they had tried to do so. Such a
lack of appreciation of the spirit of the subject is but
a consequence of the elements of formal geometry
no longer being taught in undergraduate courses.
Yet these students were demanding the best proof of
existence, namely, production of the object described.”

— Derrick Breach (See his obituary from 1996.)

A related illustration of the 13-point projective plane
from the University of Western Australia:

Projective plane of order 3

(The four points on the curve
at the right of the image are
the points on the line at infinity .)

The above image is from a post of August 7, 2012,
The Space of Horizons.”  A related image —

Click on the above image for further remarks.

Saturday, December 31, 2016


Filed under: General,Geometry — m759 @ 7:00 PM

Approaches to geometry: axioms vs. constructions

Breach's 1981 approach is not axiomatic,
but instead graphic. Another such approach —

Tuesday, June 28, 2011

ART WARS continued

Filed under: General — Tags: , — m759 @ 1:00 PM

See the signature link in last night's post for a representation of Madison Avenue.

For a representation by  Madison Avenue, see today's New York Times—

IMAGE- Butter-Cow Lady, NY Math Museum, and World-as-Rubik-Cube ad

"As a movement Pop Art came and went in a flash, but it was the kind of flash that left everything changed. The art public was now a different public— larger, to be sure, but less serious, less introspective, less willing or able to distinguish between achievement and its trashy simulacrum. Moreover, everything connected with the life of art— everything, anyway, that might have been expected to offer some resistance to this wholesale vulgarization and demoralization— was now cheapened and corrupted. The museums began their rapid descent into show biz and the retail trade. Their exhibitions were now mounted like Broadway shows, complete with set designers and lighting consultants, and their directors pressed into service as hucksters, promoting their wares in radio and television spots and selling their facilities for cocktail parties and other entertainments, while their so-called education programs likewise degenerated into sundry forms of entertainment and promotion. The critics were co-opted, the art magazines commercialized, and the academy, which had once taken a certain pride in remaining aloof from the blandishments of the cultural marketplace, now proved eager to join the crowd— for there was no longer any standard in the name of which a sellout could be rejected. When the boundary separating art and fashion was breached, so was the dividing line between high art and popular culture, and upon all those institutions and professions which had been painstakingly created to preserve high art from the corruptions of popular culture. The effect was devastating. Some surrendered their standards with greater alacrity than others, but the drift was unmistakable and all in the same direction— and the momentum has only accelerated with the passage of time."

— Hilton Kramer, The Triumph of Modernism: The Art World, 1985-2005 , publ. by Ivan R. Dee on Oct. 26, 2006, pp. 146-147

Related material— Rubik in this journal, Exorcist in this journal, and For the Class of '11.

Thursday, October 21, 2010

St. Ursula’s Day

Filed under: General,Geometry — Tags: — m759 @ 4:07 PM

Mathematics and Narrative continued

A search for Ursula in this journal yields a story…

“The main character is a slave woman who discovers new patterns in the mosaics.”

Other such stories: Plato’s Meno  and Changing Woman

Changing Woman:

“Kaleidoscope turning…

Juliette Binoche in 'Blue'  The 24 2x2 Cullinane Kaleidoscope animated images

Shifting pattern within
unalterable structure…”

— Roger Zelazny, Eye of Cat  

Philosophical postscript—

“That Lévi-Strauss should have been able to transmute the romantic passion of Tristes Tropiques  into the hypermodern intellectualism of La Pensée Sauvage  is surely a startling achievement. But there remain the questions one cannot help but ask. Is this transmutation science or alchemy? Is the ‘very simple transformation’ which produced a general theory out of a personal disappointment real or a sleight of hand? Is it a genuine demolition of the walls which seem to separate mind from mind by showing that the walls are surface structures only, or is it an elaborately disguised evasion necessitated by a failure to breach them when they were directly encountered? Is Lévi-Strauss writing, as he seems to be claiming in the confident pages of La Pensée Sauvage,  a prolegomenon to all future anthropology? Or is he, like some uprooted neolithic intelligence cast away on a reservation, shuffling the debris of old traditions in a vain attempt to revivify a primitive faith whose moral beauty is still apparent but from which both relevance and credibility have long since departed?”

— Clifford Geertz, conclusion of “The Cerebral Savage: On the Work of Claude Lévi-Strauss

Sunday, December 24, 2006

Sunday December 24, 2006

Filed under: General — m759 @ 7:00 AM
 The Edge of Eternity

(in memory of George Latshaw,
who died on Tuesday, Dec. 19, 2006)

Log24 on October 25, 2005:

Brightness Doubled

The image “http://www.log24.com/log/pix05B/051025-Sun3.jpg” cannot be displayed, because it contains errors.

Seven is Heaven

“Love is the shadow
   that ripens the vine.
Set the controls for
   the heart of the Sun.

Witness the man who
   raves at the wall
Making the shape of his
   questions to Heaven.
Knowing the sun will fall
   in the evening,
Will he remember the
   lessons of giving?
Set the controls for
   the heart of the Sun.
Set the controls for
   the heart of the Sun.”

— Roger Waters, quoted in
    Allusions to Classical
    Chinese Poetry in Pink Floyd

The image “http://www.log24.com/log/pix06B/061224-NYT-Latshaw.jpg” cannot be displayed, because it contains errors.

Click on picture for details.

Related material:

Part I —

Adapted from
Brenda Garrett’s

At Home in Landscape:
Mannheim’s Chiliastic Mentality
in ‘Tintern Abbey’

Garrett comments on Wordsworth’s approach to landscape, citing Karl Mannheim, Ideology and Utopia, translated by Louis Wirth and Edward Shils (page numbers below refer to the 1998 Routledge edition):

“… ‘the present becomes the breach through which what was previously inward, bursts out suddenly, takes hold of the outer world and transforms it’ [p. 193]. This breaking through into ecstasy can only be brought about through ‘Kairos‘ or ‘fulfilled time'”….

See translators’ note, p. 198: “In Greek mythology Kairos is the God of Opportunity– the genius of the decisive moment.  The Christianized notion of this is given thus in Paul Tillich‘s The Religious Situation [1925, translation by H. Richard Niebuhr, New York, Holt, 1932, pp. 138-139]: ‘Kairos is fulfilled time, the moment of time which is invaded by eternity.  But Kairos is not perfection or completion in time.'”

Garrett quotes Wordsworth’s 1850 Prelude:

There are in our existence spots of time,
That with distinct pre-eminence retain
A renovating virtue … (12.208-210)

“And in book 14 Wordsworth…. symbolizes how man can find transcendent unity with the universe through the image of himself leading his group to the peak of Mt. Snowdon. Climbing at night in thick fog, he almost steps off a cliff, but at the last instant, he steps out of the mist, the moon appears, and his location on the brink is revealed. Walking in the darkness of reason, his imagination illumed the night, revealed the invisible world, and spared him his life.”

See also Charles Frazier on the edge of eternity:

“They climbed to a bend and from there they walked on great slabs of rock. It seemed to Inman that they were at the lip of a cliff, for the smell of the thin air spoke of considerable height, though the fog closed off all visual check of loftiness…. Then he looked back down and felt a rush of vertigo as the lower world was suddenly revealed between his boot toes. He was indeed at the lip of a cliff, and he took one step back….”

Cold Mountain

Part II — 7/15

From Log24 on 7/15, 2005:

Christopher Fry’s obituary
in The New York Times

“His plays radiated
an optimistic faith in God
and humanity, evoking,
in his words, ‘a world
in which we are poised
on the edge of eternity,
a world which has
deeps and shadows
of mystery,
and God is anything but
a sleeping partner.'”

Accompanying illustration:

The image “http://www.log24.com/log/pix05A/050703-Cold.jpg” cannot be displayed, because it contains errors.

Adapted from cover of
German edition of Cold Mountain

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