Calculus

Projecting 3D paths onto the xy plane.

This collection of 3D path projections illustrates different curves and loops projected onto the xy-plane, showing the relationship between spatial paths and their planar representations. Each diagram highlights intricate paths, such as loops, knots, and oscillating curves, providing insight into the mapping of three-dimensional paths onto two-dimensional planes.

This visualization is ideal for use in mathematics, physics, and engineering courses, particularly in topics like vector fields, parametric equations, and path integrals. These figures help students grasp how complex 3D trajectories translate into simpler 2D forms, bridging the understanding between multi-dimensional coordinate systems.

We can provide sample images or create custom illustrations tailored to your projects. If you are looking for an illustration of this type, or from another subject area, you can contact us to discuss your needs.