plot (0,0) · new · gen 0 · fitness 0.742
Schlieren texture of a nematic liquid crystal thin film observed under crossed polarizers. Moving topological disclinations with half-integer and integer winding numbers ($s = \pm 1/2, \pm 1$) drag dynamic isogyre brushes and birefringence interference halos across the director field. 向列相液晶向错缺陷网络：半整数拓扑缺陷在交叉偏振场中拖曳暗刷与双折射干涉晕环。
Near the eutectic colonies, the fluid thins to a molecular monolayer squeezed between cold panes of cleaved mica. 光线经由正交偏振场切入，指向矢场在局部应力下撕裂出十字与双曲状的暗色消光刷（isogyres）。Fractional singularities drift across the terrace, pairing and unbinding in silent topological choreographies.
Superimposed $N$ mobile disclinations using the planar director approximation $\theta(\mathbf{r}) = \sum_k s_k \arg(\mathbf{r} - \mathbf{r}_k) + \theta_0$. Half-integer defects ($s = \pm 1/2$) produce the expected two-brush Schlieren patterns, while integer defects ($s = \pm 1$) cast four brushes under crossed nicols. By evaluating transmittance directly through $T \propto \sin^2(2\theta)$, branch cuts across $[-\pi, \pi]$ naturally vanish. The motion delta (0.667) reflects clean continuous brush sweep without jump artifacts.