Log24

Sunday, August 4, 2024

Saddle Space

Filed under: General — m759 @ 8:50 am

See Saddle in this journal. 
See also Szell Game.

Wednesday, June 3, 2015

For Soccer Moms

Filed under: General,Geometry — m759 @ 12:00 pm

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

Is it safe?"

      — Annals of Art Education : 
           Geometry and Death

Monday, July 30, 2012

Something to Read

Filed under: General,Geometry — m759 @ 1:00 pm

(Continued)

Eric M. Friedlander, President of the
American Mathematical Society (AMS),
in the March 2011 AMS Notices 

"I think the best thing the AMS does by far is the Notices .
It could easily be in all doctors’ and dentists’ offices."

Notices : "Really?"

Friedlander: "It could be."

Related material from this journal:

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

Is it safe?"

 Annals of Art Education: 
     Geometry and Death

Monday, May 26, 2008

Monday May 26, 2008

Filed under: General,Geometry — m759 @ 11:07 am
Crystal Vision

Stevie Nicks
 is 60 today.

Poster for the film 'The Craft'

On the author discussed
here yesterday,
Siri Hustvedt:

“… she explores
the nature of identity
in a structure* of
crystalline complexity.”

Janet Burroway,   
quoted in  
ART WARS  

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

“Is it safe?”

Annals of Art Education:
 Geometry and Death

* Related material:
the life and work of
Felix Christian Klein
and
Report to the Joint
Mathematics Meetings

Friday, June 15, 2007

Friday June 15, 2007

Filed under: General,Geometry — Tags: , — m759 @ 10:31 pm
Geometry and Death

(continued from Dec. 11, 2006):

J. G. Ballard on "the architecture of death":

"… a huge system of German fortifications that included the Siegfried line, submarine pens and huge flak towers that threatened the surrounding land like lines of Teutonic knights. Almost all had survived the war and seemed to be waiting for the next one, left behind by a race of warrior scientists obsessed with geometry and death."

The Guardian, March 20, 2006

From the previous entry, which provided a lesson in geometry related, if only by synchronicity, to the death of Jewish art theorist Rudolf Arnheim:

"We are going to keep doing this until we get it right."

Here is a lesson related, again by synchronicity, to the death of a Christian art scholar of "uncommon erudition, wit, and grace"– Robert R. Wark of the Huntington Library.  Wark died on June 8, a date I think of as the feast day of St. Gerard Manley Hopkins, a Jesuit priest-poet of the nineteenth century.

From a Log24 entry on the date of Wark's death–

Samuel Pepys on a musical performance (Diary, Feb. 27, 1668):

"When the Angel comes down"

"When the Angel Comes Down, and the Soul Departs," a webpage on dance in Bali:

"Dance is also a devotion to the Supreme Being."

Julie Taymor, interview:

"I went to Bali to a remote village by a volcanic mountain…."

The above three quotations were intended to supply some background for a link to an entry on Taymor, on what Taymor has called "skewed mirrors," and on a related mathematical concept named, using a term Hopkins coined, "inscapes."

They might form part of an introductory class in mathematics and art given, like the class of the previous entry, in Purgatory.

Wark, who is now, one imagines, in Paradise, needs no such class.  He nevertheless might enjoy listening in.

A guest teacher in
the purgatorial class
on mathematics
and art:

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

"Is it safe?"

Tuesday, May 22, 2007

Tuesday May 22, 2007

Filed under: General,Geometry — m759 @ 7:11 am
 
Jewel in the Crown

A fanciful Crown of Geometry

The Crown of Geometry
(according to Logothetti
in a 1980 article)

The crown jewels are the
Platonic solids, with the
icosahedron at the top.

Related material:

"[The applet] Syntheme illustrates ways of partitioning the 12 vertices of an icosahedron into 3 sets of 4, so that each set forms the corners of a rectangle in the Golden Ratio. Each such rectangle is known as a duad. The short sides of a duad are opposite edges of the icosahedron, and there are 30 edges, so there are 15 duads.

Each partition of the vertices into duads is known as a syntheme. There are 15 synthemes; 5 consist of duads that are mutually perpendicular, while the other 10 consist of duads that share a common line of intersection."

— Greg Egan, Syntheme

Duads and synthemes
(discovered by Sylvester)
also appear in this note
from May 26, 1986
(click to enlarge):

 

Duads and Synthemes in finite geometry

The above note shows
duads and synthemes related
to the diamond theorem.

See also John Baez's essay
"Some Thoughts on the Number 6."
That essay was written 15 years
ago today– which happens
to be the birthday of
Sir Laurence Olivier, who,
were he alive today, would
be 100 years old.

Olivier as Dr. Christian Szell

The icosahedron (a source of duads and synthemes)

"Is it safe?"

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