{'fraction_non_alphanumeric': 0.029329608938547486, 'fraction_numerical': 0.004189944134078212, 'mean_word_length': 5.764150943396227, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A geometrical classification of cubic point configurations

The point configurations of cubic lattice complexes with less than three degrees of freedom, i.e. of all special cubic Wyckoff positions, are classified with respect to three properties: (1) the symmetry of a point configuration regarded by itself (the occurrence of limiting complexes), (2) the type of Dirichlet partitions that corresponds to the point configuration, (3) the type of sphere configurations (sphere packings, interpenetrating sphere packings, rodlike or polyhedral sphere configurations) referring to the point configuration. Detailed information on the Dirichlet polyhedra and on some properties of the space tilings is given in addition.