27-Feb-2019 19:31:56

polyomino_monohedral_example_reid_test:
  MATLAB version
  Set up and solve the Reid polyomino tiling example.

  Region R:

  1 1 0
  1 1 1
  1 1 1

  Polyomino P:

  1 1

  System matrix A and right hand side B:

   1 0 0 0 0 1 0 0 0 0   1
   0 0 1 0 0 1 0 0 0 0   1
   1 1 0 0 0 0 1 0 0 0   1
   0 0 1 1 0 0 1 1 0 0   1
   0 0 0 0 1 0 0 1 0 0   1
   0 1 0 0 0 0 0 0 1 0   1
   0 0 0 1 0 0 0 0 1 1   1
   0 0 0 0 1 0 0 0 0 1   1
   2 2 2 2 2 2 2 2 2 2   8

  Wrote the LP file "reid.lp"

  RREF has determinant -1

  Row-Reduced Echelon Form system matrix A and right hand side B:

   1 0 0 0 0 0 1 0-1 0   0
   0 1 0 0 0 0 0 0 1 0   1
   0 0 1 0 0 0 1 0-1 0   0
   0 0 0 1 0 0 0 0 1 1   1
   0 0 0 0 1 0 0 0 0 1   1
   0 0 0 0 0 1-1 0 1 0   1
   0 0 0 0 0 0 0 1 0-1   0
   0 0 0 0 0 0 0 0 0 0   0
   0 0 0 0 0 0 0 0 0 0   0

  Found 4 binary solution vectors x:

   0 0 1 0
   1 1 0 0
   0 0 1 0
   1 0 0 0
   1 0 1 1
   1 1 0 1
   0 0 0 1
   0 1 0 0
   0 0 1 1
   0 1 0 0

  Translate each correct solution into a tiling:

  Tiling based on solution 1

   6   6
   2   4   5
   2   4   5

  Tiling based on solution 2

   6   6
   2   8   8
   2  10  10

  Tiling based on solution 3

   1   3
   1   3   5
   9   9   5

  Tiling based on solution 4

   6   6
   7   7   5
   9   9   5

polyomino_monohedral_example_reid_test:
  Normal end of execution.

27-Feb-2019 19:31:56