English: Finite segment of a trajectory of Lorenz's equations, computed by numerical integration and rendered as a metal wire. Parameter values are classical. Conical beads indicate the direction of travel. The black hemisphere marks the origin, and directions of the x and y axes are as indicated. The base of each axis triangle is 20 units from the origin. The z axis points upward; the highest point on the wire is approximately 45 units above the x-y plane. The shadow is cast by a spotlight high on the z axis.

Adapted from an image I produced for my Ph.D. thesis.

Numerical integration is explicit Euler. The scene was rendered using POV-RAY.