Fig. 3 | Scientific Reports

Fig. 3

From: Computing Euler characteristic of \({N}\)-dimensional objects via a Skyrmion-inspired overlaying (\({N}\)+1)-dimensional chiral field

Fig. 3

Demonstration of our method on three-dimensional objects. The objects presented are (a) a ball, (b) a solid cone, (c) a sphere, (d) a solid cup, (e) a solid torus, (f) a solid double torus, (g) a torus (surface), and (h) a double torus (surface). Displayed information from left to right for each object includes a three-dimensional representation of an object, cross-sectional views of the generated chiral vector field, and the associated solid angle density maps. The borders of the cross-sectional visualizations are color-matched to the cutting surfaces indicated on the three-dimensional representations, illustrating the specific sections of the objects being visualized. The integer \(\:n\) values are obtained by rounding from the numerical calculation, similar to Fig. 2. Blender version 3.6 was used to generate the figures.

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