Rose Curve Symmetry Demo
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This example demonstrates the symmetry of 32 points on a rose curve and shows how to assist with drawing using a circle. Key math concepts include symmetry, trigonometric functions, parametric equations, and coordinate geometry. Construction highlights the use of GeoGebra commands like Circle, CurveCartesian, and Mirror, along with objects such as ω, F1, P2, etc. Suitable for high school mathematics teaching to understand the application of parametric equations and symmetry in function graphs.
GeoGebra Commands & Parameters
Circle(A, 0.1) → cCurveCartesian(((3 * cos((2 * ω))), ((3 * cos((2 * ω))) * sin((2 * ω)))), ω, 0, (2 * π)) → aCurveCartesian((((3 * cos((2 * ω))) * sin(ω)), ((3 * cos(ω)) * cos((2 * ω)))), ω, 0, (2 * π)) → bMirror(W1, ligning1) → W2Mirror(K, ligning1) → K'Mirror(N1, ligning1) → N2Mirror(Z1, ligning1) → Z2Circle(A, 3) → d