This 2D companion drives the same seven-pendulum ensemble as the 3D scene through a flat canvas view built for reading the physics rather than orbiting a camera: seven identical double pendulums are released with initial angles offset by a microscopic epsilon, each integrated independently with RK4 against the real Lagrangian double-pendulum equations of motion, so you can watch a spread readout climb from near-zero to total divergence as the chaotic system's sensitivity to initial conditions plays out in real time, with live sliders for gravity, rod-length ratio, epsilon and time speed plus the same three scenario presets as the 3D version.