3D Knots: Constructing Curves in 3D Space
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In collections
surface 3D /3D-Oberflächen 1
This example demonstrates the construction and visualization of curves in 3D space, involving concepts such as curves, points, and parameters. The construction uses the CurveCartesian command to create curves, with buttons controlling parameters like m, n, p, q, and a slider for dynamic animation. Suitable for high school students or college freshmen to understand the integration of solid geometry and parametric curves.
GeoGebra Commands & Parameters
CurveCartesian((m * cos((p * i))) + (n * cos((q * i))), (m * sin((p * i))) + (n * sin((q * i))), (h * sin((t * i))), i, 0, (2 * π)) → knots
AI Drawing Prompt Reference
Draw a curve in 3D space formed by combining two perpendicular circular motions and a horizontal sinusoidal oscillation, with parameters adjustable to change the curve's shape, and a slider for dynamic animation to demonstrate the construction process of the curve in three-dimensional space.
The prompt above was compiled from the original drawing commands and is for reference only.