Parametric Butterfly Curve
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This example demonstrates how to draw a butterfly curve using parametric equations and shows its dynamic variation. Core math concepts include parametric equations, vectors, linear functions, and matrix operations. Construction highlights the use of GeoGebra commands/objects: t (parameter), a, b (sliders), A (point), text1, text2 (text), button1, button2, button3 (buttons). Suitable for high school mathematics teaching to understand the application of parametric equations and the construction of dynamic geometric figures.
GeoGebra Commands & Parameters
Numeric t(0)(sin(t) * (ℯ^(cos(t)) - (2 * cos((4 * t))) - sin(t / 12)^(5)))(cos(t) * (ℯ^(cos(t)) - (2 * cos((4 * t))) - sin(t / 12)^(5)))(a, b)