Fig. 5
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Nearest-neighbour graphs for a fractal distribution with N = 200 points, fractal dimension D = 1.6, and sub-division ndiv = 3, within R = 1.0. Each row shows the NN network in 3D (left), the projected NN network in 2D (centre), and the corresponding NN edge-length distributions (right). The three rows illustrate different viewing geometries: no rotation (top), rotation about the y-axis (β = 90°; middle), and rotation about the z-axis (γ = 90°; bottom). Projection systematically shortens the apparent NN separations and rewires connectivity, but the degree of overlap and compression depends on the line of sight, reflecting the anisotropic and clumpy structure of the fractal distribution.
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