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Number of enantiomorphic pairs among n-dimensional space groups.
2

%I #20 May 14 2026 18:39:35

%S 0,0,0,11,111,79

%N Number of enantiomorphic pairs among n-dimensional space groups.

%C 7045 <= a(6) <= 7052.

%H Bachir Bekka and Christian Brouder, <a href="https://arxiv.org/abs/2512.22265">Representations of the symmetry groups of infinite crystals</a>, arXiv:2512.22265 [cond-mat.mtrl-sci], 2025.

%H Franka Miriam Brückler and Vladimir Stilinović, <a href="https://doi.org/10.1007/978-3-030-19071-2_132-2">From Friezes to Quasicrystals: A History of Symmetry Groups</a>, 2023, in: Handbook of the History and Philosophy of Mathematical Practice, Springer.

%H B. Souvignier, <a href="https://doi.org/10.1107/S0108767303004161">Enantiomorphism of crystallographic groups in higher dimensions with results in dimensions up to 6</a>, Acta Cryst., A59 (2003), 210-220.

%F a(n) = A006227(n) - A004029(n).

%Y Cf. A006227, A004029.

%K nonn,hard,more

%O 0,4

%A _Yue Jiang_, May 08 2026