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. 2018 Jan 24;8:1543. doi: 10.1038/s41598-018-19875-0

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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The set of parameters defining the mutual NCP-NCP position and orientation in the NCP-centred coordinate system. (A) Distance and rise between NCP1 and NCP2. (B) The NCP1-NCP2 shift is characterized by the distance from the COM of NCP1 to the projection of the COM of NCP2 on the NCP1 plane. The angle φ, between the NCP1 symmetry axis and the line connecting the projection point to the NCP1 COM is also defined. (C) The mutual orientation of the NCP1 and NCP2 symmetry axes is defined by the angle (δ) between the symmetry axis of the NCP1 and the projection of the symmetry axis of NCP2 on the NCP1 plane. (D) The angle between the NCP1 and NCP2 symmetry planes or between the normal vectors to these planes.