plot), and a two-dimensional slice for the topological charge density in the presence of a single kink measured in units of $g^2F^b_{\alpha\beta}F^b_{\alpha\beta}$ (lower plot). Here $\omega$ is the angle between the chromomagnetic and chromoelectric fields, $\cos\omega=F^a_{\mu\nu}\tilde F^a_{\mu\nu}/F^b_{\alpha\beta}F^b_{\alpha\beta}$. The three-dimensional planar domain wall separates the four-dimensional regions filled with the self-dual (blue color) and anti-self-dual (red color) Abelian covariantly constant gluon fields. The chromomagnetic and chromoelectric fields are orthogonal to each other inside the wall (green color). []{data-label="Fig:single_kink"}](single_kink){width="70mm"}

![image](kink_net_example3){width="70mm"}

![image](kink_net_layers){width="75mm"}

![A two-dimensional slice of the four-dimensional lump of anti-self-dual field in the background of the self-dual configuration. The domain wall surrounding the lump in the four-dimensional space is given by the multiplicative superposition of eight kinks as it is defined by Eq.(\[asd\_lump\]). []{data-label="Fig:asd_lump"}](asd_lump){width="70mm"}

The domain wall network can be now constructed by the standard methods [@Vachaspati]. Let us denote the general kink configuration as $$\zeta(\mu_i,\eta_\nu^{i}x_\nu-q^{i})=\frac{2}{\pi}\arctan\exp(\mu_i(\eta_\nu^{i}x_\nu-q^{i})),$$ where $\mu_i$ is the inverse width of the kink, $\eta_\nu^{i}$ is a normal vector to the plane of the wall, $q^{i}=\eta_\nu^{i}x^{i}_\nu$ with $x^{i}_\nu$ - coordinates of the wall. The topological charge density for the multiplicative superposition of two kinks with the normal vectors anti-parallel to each other $$\omega(x_1)=\pi\zeta(\mu_1,x_1-a_1)\zeta(\mu_2,-x_1-a_2)$$ is shown in Fig.\[multsupkink\]. The additive superposition of 