Enumerating Cube Tilings

This dataset contains 899,710,227 pairwise non-isomorphic 5-dimentional cube tilings. Each row in the canex_all.dat file stands for one of the aforementioned tilings. A C program to convert an encoded tiling to coordinates in the 5-d space (tocords.c) is also provided. Each row in the dataset has 33 elements, the last 32 of which stand for the cubes that constitute the tiling (the first element stands for the order of the automorphism group corresponding to the tiling- please refer to the journal paper for details) . The program (tocords.c) takes 32 integers (one may use the last 32 in any row from the dataset) as command line parameters and prints the cubes in coordinate form to the standard output.