{'fraction_non_alphanumeric': 0.028169014084507043, 'fraction_numerical': 0.02034428794992175, 'mean_word_length': 4.925925925925926, 'pattern_counts': {'":': 0, '<': 1, '<?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}}
Coordination sequences for hyperbolic tilings

Coordination sequences have been determined for tilings {p, q} of the hyperbolic plane in which q p-gons meet at each vertex. The number of vertices in successive shells is related by a recurrence to the numbers in earlier shells and grows exponentially. General expressions for the recurrences are given and numerical expressions for the growth rate are determined. For p = 3-10, 12, 14, 16 and 18 exact expressions, that require finding roots of polynomials of degree <4, are given for the coordination sequence. Some differences between hyperbolic tilings and 3-dimensional nets are noted.