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Friday, September 26, 2008

Friday September 26, 2008

Filed under: General,Geometry — m759 @ 3:17 PM
Christmas Knot
for T.S. Eliot’s birthday

(Continued from Sept. 22–
A Rose for Ecclesiastes.”)

From Kibler’s
Variations on a Theme of
Heisenberg, Pauli, and Weyl
,”
July 17, 2008:

“It is to be emphasized
 that the 15 operators…
are underlaid by the geometry
 of the generalized quadrangle
 of order 2…. In this geometry,
the five sets… correspond to
a spread of this quadrangle,
 i.e., to a set of 5 pairwise
skew lines….”

Maurice R. Kibler,
July 17, 2008

For ways to visualize
this quadrangle,

Inscape

see Inscapes.

Related material

A remark of Heisenberg
quoted here on Christmas 2005:

The eightfold cube

… die Schönheit… [ist] die
richtige Übereinstimmung
der Teile miteinander
und mit dem Ganzen
.”

“Beauty is the proper conformity
of the parts to one another
and to the whole.”

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