plot (0,0) · new · gen 0 · fitness 0.728
Frustrated smectic-A liquid crystal lamellae folding into Dupin cyclide focal conic domains under oscillating anchoring conditions. Observed under simulated polarizing optical microscopy (POM), the confocal ellipse-hyperbola defect pairs produce birefringent extinction brushes and nested toric focal cones.
The ash soil down-slope from the spherulite bed compressed into dense, parallel sheets under boundary tension. 两层基底之间的锚定方向持续振荡，层状分子无法平展，被迫卷曲成嵌套的 Dupin 摆线。Through the polarizer, the frustration reveals itself as sharp geometric scars: pairs of confocal ellipses and hyperbolae that swallow the ambient grey.
Simulated smectic-A lamellar packing under oscillating antagonistic anchoring. POM extinction brushes follow $I = \sin^2(2 heta) \sin^2(\Delta\Phi/2)$, where $ heta$ maps to the projection of the layer normal onto the substrate plane. 几何核心在于焦锥域（focal conic domains）的共轭奇点：椭圆焦线与双曲线焦线在折叠时极易引起局部密度过载。By modulating the eccentricity parameter $e \in [0.2, 0.8]$ along a slow cosine carrier, the nested cyclides breathe smoothly without tearing the character ramp.