视界
见、不可见
interactive
Harmonic Motion
Lissajous Curves
The visible trace of two oscillating frequencies. When the ratio is rational, the loop closes—chaos becomes order.
TrigonometryOscillationParametric
Shuyu
animation
4:32
Complex Function Transformations
Visualizing Möbius Transformations
Watch how the complex plane bends and twists under the influence of Möbius transformations.
Complex AnalysisTransformations
Shuyu
simulation
3:15
Vector Flow Fields
Fluid Dynamics Simulation
Observe the elegant patterns that emerge from differential equations governing fluid motion.
Differential EquationsFluid Dynamics
Shuyu