serenity, a MATLAB code which considers the serenity puzzle, a smaller version of the eternity puzzle. The serenity puzzle specifies a dodecagonal region R composed of 288 30-60-90 triangles, and a set of 8 "tiles", each consisting of 36 30-60-90 triangles, and seeks an arrangement of the tiles that exactly covers the region.
Some of these codes rely on access to files in the "eternity" directory, which might be accessed by a MATLAB "addpath()" command, or else by simply copying those files into the user's directory as well.
The computer code and data files described and made available on this web page are distributed under the MIT license
serenity is available in a MATLAB version.
boat, a MATLAB code which considers the boat tiling puzzle, a smaller version of the eternity puzzle. The boat puzzle specifies a region R composed of 756 30-60-90 triangles, and a set of 21 "tiles", each consisting of 36 30-60-90 triangles, and seeks an arrangement of the tiles that exactly covers the region.
boomerang, a MATLAB code which considers the boomerang tiling puzzle, a smaller version of the eternity puzzle. The puzzle specifies a region R composed of 2376 30-60-90 triangles, and a set of 66 "tiles", each consisting of 36 30-60-90 triangles, and seeks an arrangement of the tiles that exactly covers the region.
boundary_word_drafter, a MATLAB code which describes the outline of an object on a grid of drafters, or 30-60-90 triangles, using a string of symbols that represent the sequence of steps tracing out the boundary.
eternity, a MATLAB code which considers the eternity puzzle, which considers an irregular dodecagon shape that is to be tiled by 209 distinct pieces, each formed by 36 contiguous 30-60-90 triangles, known as polydrafters.
eternity_tile, a MATLAB code which considers the individual tiles of the eternity puzzle, 209 distinct pieces, each formed by 36 contiguous 30-60-90 triangles, known as polydrafters.
pram, a MATLAB code which considers the pram puzzle, a smaller version of the eternity puzzle. The pram puzzle specifies a region R composed of 2304 30-60-90 triangles, and a set of 64 "tiles", consisting of 36 30-60-90 triangles, and seeks an arrangement of the tiles that exactly covers the region.
serenity_cplex_test a BASH code which calls cplex(), to read the LP file defining the serenity tiling problem, solve the linear programming problem, and write the solution to a file.
serenity_gurobi_test a BASH code which calls gurobi(), to read the LP file defining the serenity tiling problem, solve the linear programming problem, and write the solution to a file.
tortoise, a MATLAB code which considers the tortoise tiling puzzle, a smaller version of the eternity puzzle. The tortoise puzzle specifies a region R composed of 1620 30-60-90 triangles, and a set of 45 "tiles", each consisting of 36 30-60-90 triangles, and seeks an arrangement of the tiles that exactly covers the region.
trinity, a MATLAB code which considers the trinity puzzle, a smaller version of the eternity puzzle. The trinity puzzle specifies a region R composed of 144 30-60-90 triangles, and 4 "tiles", T1, T2, T3 and T4, each consisting of 36 30-60-90 triangles, and seeks an arrangement of the four tiles that exactly covers the region.
whale, a MATLAB code which considers the whale tiling puzzle, a smaller version of the eternity puzzle. The whale puzzle specifies a region R composed of 288 30-60-90 triangles, and a set of 8 "tiles", each consisting of 36 30-60-90 triangles, and seeks an arrangement of the tiles that exactly covers the region.