boundary_word_equilateral

boundary_word_equilateral, a Python code which describes the outline of an object on a grid of equilateral triangles, using a string of symbols that represent the sequence of steps tracing out the boundary.

Objects constructed by connecting congruent equilateral triangles are known as polyiamonds.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

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

Related Data and Programs:

boundary_word_square, a Python code which describes the outline of an object on a grid of squares, using a string of symbols that represent the sequence of steps tracing out the boundary.

Reference:

  1. Martin Gardner,
    Mathematical Games: On Polyiamonds: Shapes That are Made Out of Equilateral Triangles, Scientific American,
    Volume 211, December 1964.
  2. 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.
  3. Solomon Golomb,
    Polyominoes: Puzzles, Patterns, Problems, and Packings,
    Princeton University Press, 1996,
    ISBN: 9780691024448
  4. Thomas O'Beirne,
    Pentominoes and Hexiamonds,
    New Scientist,
    Volume 12, pages 379-380, 1961.
  5. Torbijn,
    Polyiamonds,
    Journal of Recreational Mathematics,
    Volume 2, pages 216-227, 1969.

Source code:

Boundary word plots:

Last revised on 18 June 2024.