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Figure 11
(a) Any lattice node of L1 (blue) is transformed into any lattice node of L2 (red) by a rotation of [2\delta+\Phi] around a node of the corresponding Φ-lattice; therefore these rotation centers, each being a node of a given Φ-lattice, are aligned along the perpendicular bisector of the considered pair, as shown here for the square system. (b) The prefactors of the Φ-lattices associated to a given rotation order n align along a straight line of angle δ with the vertical axis. This property is directly observed on the drawing of the Φ-lattices for [\tau+t_{\Phi} = 0] where the prefactors Ap are then the locations of the nodes (1, 0) of each Φ-lattice, here for the square system with δ = 17.56° ( L1 in blue and L2 in red) with the four Φ-lattices: [\Phi = 0] (green), π/2 (orange), π (purple) and 3π/2 (brown).

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ISSN: 2053-2733
Volume 81| Part 2| March 2025|
https://doi.org/10.1107/S2053273324012087
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