Torus Knot by Juan Carlos Ponce Campuzano
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This example demonstrates the generation and visualization of a torus knot. It involves core mathematical concepts such as parametric equations, surfaces, 3D shapes, and topology. The construction uses the Surface command to create surfaces and the CurveCartesian command to plot curves, with parameters p, q, a, c, d, e, f, and sliders for dynamic adjustment and display. Suitable for high school students and mathematics enthusiasts studying spatial geometry and parametric surfaces.
GeoGebra Commands & Parameters
Surface((cos(u) * ((a * cos(v)) + c)), (sin(u) * ((a * cos(v)) + c)), (a * sin(v)), u, 0, (2 * π), v, 0, (2 * π)) → dCurveCartesian(((cos((q * t)) + 2) * cos((p * t))), ((cos((q * t)) + 2) * sin((p * t))), (-sin((q * t))), t, 0, Drag) → b