pariomino


pariomino, an Octave code which considers pariominoes, which are polyominoes with a checkerboard parity.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

pariomino is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

boundary_word, an Octave code which works with a polyomino that is described by a sequence of symbols that indicate how to trace out its boundary.

pariomino_test

polyiamonds, an Octave code which works with polyiamonds, simple shapes constructed by edgewise connections of congruent equilateral triangles.

polyomino_parity, an Octave code which uses parity considerations to determine whether a given set of polyominoes can tile a specified region.

polyominoes, an Octave code which defines, solves, and plots a variety of polyomino tiling problems, which are solved by a direct algebraic approach involving the reduced row echelon form (RREF) of a specific matrix, instead of the more typical brute-force or backtracking methods.

Reference:

  1. Marcus Garvie, John Burkardt,
    A new mathematical model for tiling finite regions of the plane with polyominoes,
    Contributions to Discrete Mathematics,
    Volume 15, Number 2, July 2020.
  2. Solomon Golomb,
    Polyominoes: Puzzles, Patterns, Problems, and Packings,
    Princeton University Press, 1996,
    ISBN: 9780691024448

Source code:


Last revised on 04 August 2020.