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Figure 6
The different possible topologies of isosurface [{\cal F}] in [{\cal P}^{2}] on varying atomic scattering factors fi in equation (2)[link]. The [{\cal F}] can be categorized according to their intersection along the z1 and z2 directions. The [{\cal F}] in (a) and (b) exclusively intersect the z1 axis (open topology) and that in (c) intersects both the z1 and z2 axes at different distances from the origin (closed topology). The developed algorithm handles and approximates these [{\cal F}]s alike. The boundaries from the approximation are shown by blue lines. The schematic demonstrates the effect of the ratio between fi on the curvature of [{\cal F}]. The very first segment of the linearization around the origin is shown and all repeated segments are avoided for better visibility. The filled green and orange points are used to get the slope and the found tangent points are shown by open black circles.

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 58| Part 3| June 2025| Pages 768-788
https://doi.org/10.1107/S1600576725001955
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