Log24

Tuesday, March 5, 2019

Design Warmed Over

Filed under: General — m759 @ 1:00 PM

Today's announcement of the 2019 Pritzker Architecture Prize
to Arata Isozaki suggests a review.

Isozaki designed the Museum of Contemporary Art building
in Los Angeles in 1986.

A related article from May 19, 2010 —

An excerpt from the Walker article — 

Throwback fun with Chermayeff and Geismar —

Other news published on May 19, 2010 —

See also "Character of Permanence" in this  journal.

Saturday, December 1, 2018

Character

Filed under: General — Tags: — m759 @ 11:00 AM

"What we do may be small, but it has
a certain character of permanence."

— G. H. Hardy,
A Mathematician's Apology

Saturday, June 3, 2017

Expanding the Spielraum (Continued*)

Filed under: General,Geometry — Tags: — m759 @ 1:13 PM

Or:  The Square

"What we do may be small, but it has
 a certain character of permanence."
— G. H. Hardy

* See Expanding the Spielraum in this journal.

Sunday, January 25, 2015

Death of a Salesman

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

Yesterday's online LA Times  had an obituary for a
traveling salesman:

"Besides writing and teaching, Borg was a frequent speaker,
usually racking up 100,000 frequent flier miles a year.
He and Crossan, along with their wives, led annual tours
to Turkey to follow the path of the Apostle Paul and to give
a sense of his world. They also led tours to Ireland to
showcase a different brand of Christianity."

Borg and Crossan were members of the Jesus Seminar.
For Crossan, see remarks on "The Story Theory of Truth."

See also, from the date of Borg's death, a different salesman joke.

Some backstory —

"What we do may be small, but it has
a certain character of permanence."

— G. H. Hardy in A Mathematician's Apology

Saturday, June 1, 2013

Permanence

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

"What we do may be small, but it has
  a certain character of permanence."

— G. H. Hardy, A Mathematician's Apology

The diamond theorem  group, published without acknowledgment
of its source by the Mathematical Association of America in 2011—

IMAGE- The diamond-theorem affine group of order 322,560, published without acknowledgment of its source by the Mathematical Association of America in 2011

Monday, February 18, 2013

Permanence

Filed under: General,Geometry — m759 @ 2:00 PM

Inscribed hexagon (1984)

The well-known fact that a regular hexagon
may be inscribed in a cube was the basis
in 1984 for two ways of coloring the faces
of a cube that serve to illustrate some graphic
aspects of embodied Galois geometry

Inscribed hexagon (2013)

A redefinition of the term "symmetry plane"
also uses the well-known inscription
of a regular hexagon in the cube—

IMAGE- Redefining the cube's symmetry planes: 13 planes, not 9.

Related material

"Here is another way to present the deep question 1984  raises…."

— "The Quest for Permanent Novelty," by Michael W. Clune,
     The Chronicle of Higher Education , Feb. 11, 2013

“What we do may be small, but it has a certain character of permanence.”

— G. H. Hardy, A Mathematician’s Apology

Sunday, June 5, 2011

Edifice Complex

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

"Total grandeur of a total edifice,
Chosen by an inquisitor of structures
For himself. He stops upon this threshold,
As if the design of all his words takes form
And frame from thinking and is realized."

— Wallace Stevens, "To an Old Philosopher in Rome"

The following edifice may be lacking in grandeur,
and its properties as a configuration  were known long
before I stumbled across a description of it… still…

"What we do may be small, but it has
 a certain character of permanence…."
 — G.H. Hardy, A Mathematician's Apology

The Kummer 166 Configuration
as seen by Kantor in 1969— (pdf, 2.5 MB)

IMAGE-- 16_6 configuration from '2-Transitive Symmetric Designs,' by William M. Kantor (AMS Transactions, 1969)

For some background, see Configurations and Squares.

For some quite different geometry of the 4×4 square that  is
original with me, see a page with that title. (The geometry's
importance depends in part on its connection with the
Miracle Octad Generator (MOG) of R.T. Curtis. I of course
had nothing to do with the MOG's discovery, but I do  claim credit
for discovering some geometric properties of the 4×4 square
that constitutes two-thirds of the MOG as originally defined .)

Related material— The Schwartz Notes of June 1.

Thursday, July 21, 2005

Thursday July 21, 2005

Filed under: General,Geometry — m759 @ 9:00 PM

Permanence

“What we do may be small, but it has a certain character of permanence.”

G. H. Hardy, A Mathematician’s Apology

For further details, see
Geometry of the 4×4 Square.

“There is no permanent place in the world for ugly mathematics.”

— Hardy, op. cit.

For further details, see
Four-colour proof claim.

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