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Figure 2
A brief graphic summary of the 1-D helical system. For simplicity, on the left-hand side of the figure, only a single helix is drawn to illustrate the 1-D helical transformation. The helical axis t is along the Cartesian y axis and the 1-D cell (asymmetric subunits) is sitting at (xc, yc, zc) which is labeled as the (0, 0) cell. The transformed Cartesian coordinates (xw, yw, zw) labeled as (0, m2) accordingly are calculated by the matrix operations with a rotational angle of m2φ and a translational rise of m2δ in the upper right-hand side of the figure. For the augmented 1-D helical system with four parameters [n1, n2, φ, δ], the helical transformation equation expressed by matrix operations is given in the lower right corner highlighted in color. α and hδ respectively specify the overall helical twist and helical rise for the (m1, m2) subunits with respect to the (0, 0) asymmetric subunits, with m1 referring to the n1-order helix and m2 referring to the subunits along the denoted helix.

Journal logoSTRUCTURAL
BIOLOGY
ISSN: 2059-7983
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