Connected Lissajous Curves
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This example demonstrates connected Lissajous curves generated by adjusting parameters, showing how changes in parameters affect the shape of the curves. The core mathematical concepts involved include trigonometric functions, parametric equations, continuity, and function graphing. The construction utilizes GeoGebra's Sequence and PolyLine commands, with objects s, p, l1, a, b, r, f for parameter control and curve building. Suitable for high school and above students to understand the application of parametric equations in plane analytical geometry and the dynamic changes in function graphs.
GeoGebra Commands & Parameters
Sequence((s * i), i, 0, p) → l1PolyLine(r) → f