真 Spirograph

GeoGebra 命令及参数

1. CurveCartesian(((R + (0.01 * cos((n_1 * θ)))) * cos(θ)), ((R + (0.01 * cos((n_1 * θ)))) * sin(θ)), θ, 0, 6.283185307179586) → E_1
2. CurveCartesian(x(C_{1}) + ((r + (0.01 * cos((n_2 * θ)))) * cos(θ + ((1 - R / r) * t))), y(C_{1}) + ((r + (0.01 * cos((n_2 * θ)))) * sin(θ + ((1 - R / r) * t))), θ, 0, 6.283185307179586) → E_2
3. Vector(C_{1}, A) → u
4. Sequence(Segment[C_{1}, (x(C_{1}) + ((r + (0.01 * cos((n_2 * θ)))) * cos(θ + ((1 - R / r) * t))), y(C_{1}) + ((r + (0.01 * cos((n_2 * θ)))) * sin(θ + ((1 - R / r) * t))))], θ, 0, 6.28319, 0.4487989505128276) → rayons
5. Segment(A, C_{1}) → f
6. CurveCartesian(x(O) + ((R - r) * cos(i)) + (r * cos(((1 + w1) * i))), y(O) + ((R - r) * sin(i)) + (r * sin(((w1 + 1) * i))), i, 0, t) → b
7. Midpoint(C_{1}, A) → C
8. Midpoint(C, A) → B
9. CurveCartesian(x(O) + ((R - r) * cos(i)) + ((0.5 * r) * cos(((1 + w1) * i))), y(O) + ((R - r) * sin(i)) + ((0.5 * r) * sin(((w1 + 1) * i))), i, 0, t) → e
10. CurveCartesian(x(O) + ((R - r) * cos(i)) + ((0.75 * r) * cos(((1 + w1) * i))), y(O) + ((R - r) * sin(i)) + ((0.75 * r) * sin(((w1 + 1) * i))), i, 0, t) → c
11. Midpoint(C_{1}, C) → D
12. CurveCartesian(x(O) + ((R - r) * cos(i)) + ((0.25 * r) * cos(((1 + w1) * i))), y(O) + ((R - r) * sin(i)) + ((0.25 * r) * sin(((w1 + 1) * i))), i, 0, t) → d
13. CurveCartesian(((R + (0.01 * cos((n_1 * θ)))) * cos(θ)), ((R + (0.01 * cos((n_1 * θ)))) * sin(θ)), θ, 0, 6.28319) → E_3
14. CurveCartesian(x(O) + ((R - r) * cos(i)) + ((k * r) * cos(((1 + w1) * i))), y(O) + ((R - r) * sin(i)) + ((k * r) * sin(((w1 + 1) * i))), i, 0, t) → o
15. Circle(O, R + 0.125) → g