04-Mar-2022 17:06:10

eternity_hexity_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2.
  eternity_hexity() implements a linear programming
  approach to the trinity tiling problem.

hexity_reflect_test():
  hexity_reflect() is given the hexity of an Eternity object
  and computes its hexity after being reflected.

  Word: AAKbBCCGGDdGIIII
   3   2   3   3   3   4   3   3   3   2   3   4   36    Default configuration

  Word: KKKKAdDAAEEFfIGG
   4   3   2   3   3   3   4   3   3   3   2   3   36    After reflection

hexity_rotate_test():
  hexity_rotate() is given the hexity of an Eternity object
  and computes its hexity after being rotated.

  Word: AAKbBCCGGDdGIIII
   3   2   3   3   3   4   3   3   3   2   3   4   36    Default configuration

  Word: CCAdDEEIIFfIKKKK
   4   3   2   3   3   3   4   3   3   3   2   3   36  60 degrees

  Word: EECfFGGKKHhKAAAA
   3   4   3   2   3   3   3   4   3   3   3   2   36  120 degrees

  Word: GGEhHIIAAJjACCCC
   3   3   4   3   2   3   2   3   4   3   3   3   36  180 degrees

  Word: IIGjJKKCCLlCEEEE
   3   3   3   4   3   2   3   2   3   4   3   3   36  240 degrees

  Word: KKIlLAAEEBbEGGGG
   2   3   3   3   4   3   3   3   2   3   4   3   36  300 degrees

  Word: AAKbBCCGGDdGIIII
   3   2   3   3   3   4   3   3   3   2   3   4   36  360 degrees

trinity_hexity_test():
  Analyze hexity of the trinity tiling problem.
  The hexity of the grid should equal the sum of
  the hexities of the 4 tiles, after proper rotation
  and reflection.

  We can first configure each tile, then compute its hexity.
  Or, we can compute the hexity of each tile in its default
  configuration, and then apply the transformations to the
  hexity vector directly.

  Hexity of Trinity tiles in default configuration:

   3   2   3   3   3   4   3   3   3   2   3   4   36
   3   3   3   3   3   3   3   3   3   3   3   3   36
   3   3   3   3   3   3   3   3   3   3   3   3   36
   4   2   4   2   3   3   3   3   4   2   3   3   36

  Compute configuration, then hexity:

   3   3   3   4   3   2   3   2   3   4   3   3   36
   3   3   3   3   3   3   3   3   3   3   3   3   36
   3   3   3   3   3   3   3   3   3   3   3   3   36
   3   3   3   2   4   3   4   3   3   2   4   2   36

  12  12  12  12  13  11  13  11  12  12  13  11  144   Tile hexity sum
  12  12  12  12  13  11  13  11  12  12  13  11  144   Grid hexity

  Compute hexity, then configure:

   3   3   3   4   3   2   3   2   3   4   3   3   36
   3   3   3   3   3   3   3   3   3   3   3   3   36
   3   3   3   3   3   3   3   3   3   3   3   3   36
   3   3   3   2   4   3   4   3   3   2   4   2   36

  12  12  12  12  13  11  13  11  12  12  13  11  144   Tile hexity sum
  12  12  12  12  13  11  13  11  12  12  13  11  144   Grid hexity

eternity_hexity_test():
  Normal end of execution.

04-Mar-2022 17:06:10