Algorithms for translational tiling

Please read the paper first, and then consult the files below. The file music144SAs.nb contains Step 2 of the paper, while each further file contains computations with respect to the partition in the file-name. We recommend that you start with the "commented" and "bettercommented" files, which contain detailed comments. These files are in Mathematica 6 notebook format.

Please direct questions regarding these programs to Mate Matolcsi.

Preprint:
M.N. Kolountzakis and M. Matolcsi, "Algorithms for translational tiling" (PDF).

Results for Z144

If you are only interested in the lists of non-periodic tiles please see the .txt files. If you would like to check the programming and computations check the .nb files.


File name: 2-4-9-16--3-8.txt is here
File name: 2-8-9-16--3-4.txt is here
File name: 3-4-8--2-9-16.txt is here
File name: 4-9-16--2-3-8.txt is here

Mathematica programs


File name: m-144SAs.nb is here
File name: m-16vs24839.nb is here
File name: m-216vs4839.nb is here
File name: m-23416vs89.nb is here
File name: m-234816vs9.nb is here
File name: m-2348vs916.nb is here
File name: m-23816vs49.nb is here
File name: m-2389vs416.nb is here
File name: m-24816vs39.nb is here
File name: m-24916vs38.nb is here
File name: m-28916vs34.nb is here
File name: m-3416vs289.nb is here
File name: m-34816vs29.nb is here
File name: m-348vs2916bettercommented.nb is here
File name: m-349vs2816.nb is here
File name: m-3816vs249commented.nb is here
File name: m-389vs2416.nb is here
File name: m-4816vs239.nb is here
File name: m-48916vs23.nb is here
File name: m-489vs2316.nb is here
File name: m-4916vs238.nb is here
File name: m-816vs2439.nb is here
File name: m-8916vs234.nb is here