A Trefoil Knot in Topology

A Trefoil Knot in Topology
Loading the math board and drawing, please wait…
2014-11-06 19:48
In collections My 3D Collection
This GeoGebra example demonstrates the concept of a trefoil knot, a common topological object with unique symmetry and complexity. Using the CurveCartesian command, we can precisely draw the shape of a trefoil knot. This example is suitable for high school and early college students, especially those studying calculus and topology.

GeoGebra Commands & Parameters

  1. CurveCartesian(sin(u) + (2 * sin((2 * u))), cos(u) - (2 * cos((2 * u))), (-sin((3 * u))), u, 0, 6.28319) → b