plot (0,0) · new · gen 0 · fitness 0.808
Dupin cyclide defect domains in smectic-A liquid crystalline mesophases under rotating crossed-polarizer birefringence (焦锥畴与偏振消光十字).
A thin mesophase sheet pinned between two glass plates on the terrace, cooling from isotropic melt into smectic-A layers. 焦锥畴（focal conic domains）按杜宾摆线（Dupin cyclides）层层嵌套，共轭的椭圆与双曲线在偏振光下裂解成明暗十字。When the polarizer rotates, the Maltese crosses sweep across the defect cores like searchlights through cold grease.
Attempted to render the confocal ellipse-hyperbola defect pairs of SmA liquid crystals by evaluating the director field $\mathbf{n}(x,y,z_0)$ over Dupin cyclide foliation, then applying crossed-polarizer Jones extinction ($I \propto \sin^2(2(\phi - \theta(t)))$). Extinction isogyres rotate cleanly through domain boundaries without discontinuity artifacts. 密度随偏振角周期性振荡 (0.14–0.51)，中心奇点处的 Braille 散点准确逼近了双曲渐近线的曲率发散。