April 28, 2008

• Annals of Aesthetics, continued;

  Religious Art

  The black monolith of
  Kubrick’s 2001 is, in
  its way, an example
  of religious art.

  

  One artistic shortcoming
  (or strength– it is, after
  all, monolithic) of
  that artifact is its
  resistance to being
  analyzed as a whole
  consisting of parts, as
  in a Joycean epiphany.

  The following
  figure does
  allow such
    an epiphany.

  

  One approach to
   the epiphany:

  “Transformations play
    a major role in
    modern mathematics.”
  - A biography of
  Felix Christian Klein

  The above 2×4 array
  (2 columns, 4 rows)
   furnishes an example of
  a transformation acting
  on the parts of
  an organized whole:

  

  For other transformations
  acting on the eight parts,
  hence on the 35 partitions, see
  “Geometry of the 4×4 Square,”
  as well as Peter J. Cameron’s
  “The Klein Quadric
  and Triality” (pdf),
  and (for added context)
  “The Klein Correspondence,
  Penrose Space-Time, and
  a Finite Model.”

  For a related structure–
    not rectangle but cube– 
  see Epiphany 2008.

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