Simulation
Each pixel represents a point on the surface $y = -x$ with coordinates $(x, z)$. The color indicates which fixed point — $C^+$ or $C^-$ — the trajectory converges to under the Lorenz system:
$$\dot{x} = \sigma(y - x),$$
$$\dot{y} = \rho x - y - xz,$$
$$\dot{z} = xy - \beta z$$
Integration is performed entirely on the GPU using WebGL2 fragment shaders. Euler, RK2, and RK4 methods are available. Parameters $\sigma$, $\rho$, and $\beta$ can be adjusted in real time.