Enumerating Cube Tilings

<p>This dataset contains&nbsp;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,&nbsp;the last 32 of which stand for the cubes that constitute the tiling (the first element stands for the&nbsp;order of the automorphism group corresponding to the tiling- please refer to the journal paper for details)&nbsp;. The program (tocords.c) takes&nbsp;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.</p>