Trefoil Knot Parametric Curve and Geometric Construction

①This example demonstrates the classic trefoil knot as a 3D parametric curve and its geometric construction in GeoGebra. ②Core mathematical concepts include parametric equations, space curves, 3D geometric objects (points, lines, planes, circles), and sequence generation, touching on knot theory in topology. ③Construction highlights: the CurveCartesian command defines the trefoil knot's parametric curve; Point, Line, OrthogonalPlane, and Circle commands build auxiliary geometric elements; Sequence generates a series of objects; LaTeX text labels key information, resulting in a complete visual demonstration. ④Suitable for high school to university-level mathematics teaching, especially for intuitive understanding of analytic geometry, parametric equations, and 3D space geometry, as well as for popular science presentations on the topological properties of knots.