November 5, 2005

• Contrapuntal Themes

  in a Shadowland
   
  (See previous entry.)

  Douglas Hofstadter on his magnum opus:

  “… I realized that to me, Gödel and Escher and Bach were only shadows
  cast in different directions by some central solid essence. I tried to
  reconstruct the central object, and came up with this book.”

  
  Hofstadter’s cover

  Here are three patterns,
  “shadows” of a sort,
  derived from a different
  “central object”:

  

  For details, see
  Solomon’s Cube.

  Related material:
  The reference to a
  “permutation fugue“
  (pdf) in an article on
  Gödel, Escher, Bach.

  • 4:24 pm
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