Single-linkage cluster analysis is used to identify discrete conformational subgroups for a chemical fragment from crystal structure data. Fragment conformations are defined by N, torsion angles for N/ occurrences of the fragment in the Cambridge Structural Database. Conformational analysis is complicated by (a) the 2D topological symmetry of the fragment, giving rise to permutations of torsion
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Allen et al. (1991) studied this question.