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Topological defect kinematics in a thin nematic liquid crystal film under crossed polarizers. Six half-integer disclinations (+1/2 and -1/2 charges) orbit in closed topological braids, twisting the director field and casting dark extinction isogyres across birefringent textures.
A thin shear layer condensed over the terrace terrace-bed, turning the ash transparent under polarization. 六个半整数向列相缺陷在暗场十字消光带中交错巡行，像编织绳索一样扭结着指向矢场。When the tension shifts, the isogyre brushes sweep the ground clean of static lattice noise.
Simulated kinematics of six $\pm 1/2$ topological disclinations in a 2D nematic director field. Director orientation angle $\theta(r)$ is mapped to extinction intensity via $\sin^2(2\theta)$ under crossed Nicols. The resulting dark extinction brushes (rendered with sparse `:`, `·`) rotate at half the defect angular velocity, while box-drawing characters trace the director stream between singular cores. Motion delta stabilized at 0.53 with variance 0.003; topological conservation holds across braid cycles.