25-Nov-2021 10:25:36

trinity_test():
  MATLAB/Octave version 9.6.0.1072779 (R2019a).
  trinity() implements a linear programming
  approach to the trinity tiling problem.

trinity_lp():
  Define the trinity puzzle and a set of tiles.
  Set up the linear system A*x=b defining the tiling problem.
  Use sparse storage for the matrix A.
  Write that information to an LP file.

  trinity system computed.
  matrix A has 148 rows, 142 columns, 5254 nonzeros

  trinity information saved as "trinity.lp"

trinity_lp():
  Normal end of execution.

solution_plot():
  MATLAB/Octave version 9.6.0.1072779 (R2019a)
  Plot a solution generated by cplex().
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  Graphics saved as "trinity_solution.png"

solution_plot():
  Normal end of execution.

solution_tikz_ij():
  MATLAB/Octave version 9.6.0.1072779 (R2019a)
  Make a tikz() image of a tiling solution from cplex.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)
  Tile = 3, VAR = 76,  Rotate = 2, reflect = 0,  type = 2  pij = (6,6)
  Tile = 4, VAR = 142,  Rotate = 5, reflect = 1,  type = -6  pij = (8,0)
  tikz image saved as "trinity_solution_ij.tex"

solution_tikz_ij():
  Normal end of execution.

solution_tikz_xy():
  MATLAB/Octave version 9.6.0.1072779 (R2019a)
  Make a tikz() image of a tiling solution from cplex.
  The (x,y) coordinate system is used.
  Tile = 1, VAR = 26,  Rotate = 4, reflect = 0,  type = -5  pij = (12,24)  pxy=(3,3.4641)
  Tile = 2, VAR = 47,  Rotate = 2, reflect = 0,  type = -6  pij = (10,6)  pxy=(2.5,0.866025)