Parametric Curves in 3D

This GeoGebra example demonstrates parametric curves in three-dimensional space, allowing users to dynamically adjust parameters to observe how the curve's shape changes. Core mathematical concepts include parametric equations, 3D coordinate representation, vectors, and the relationship between curves and cylinders. The construction uses the CurveCartesian command to define the 3D parametric curve, Textfield inputs and sliders (such as h, min, max) to control parameter ranges, and Vector commands to create auxiliary vectors. It also incorporates statistical elements like linear regression, median line, and correlation, possibly for fitting or comparison. Suitable for high school to university students studying analytic geometry, calculus, or computer-assisted mathematical visualization, as well as for teachers demonstrating interactive exploration of parametric curves and spatial geometry.