黄金矩形与黄金螺旋的几何构造

GeoGebra 命令及参数

1. Point(xAxis) → PEEPST
2. PointIn(peep) → A
3. PointIn(peep) → B
4. Distance(A, B) → rag
5. Midpoint(A, B) → E
6. Polygon(A, B, 4) → squa, f, g, h, i, C, D
7. Circle(E, Segment[E, C]) → cfrEEC
8. Ray(A, B) → semiAB
9. Intersect(cfrEEC, semiAB) → F,
10. OrthogonalLine(F, semiAB) → perpAB
11. Ray(D, C) → semiDC
12. Intersect(perpAB, semiDC) → G
13. Polygon(A, F, G, D) → goldPoly, a, f_1, g_1, d
14. Polygon(B, F, 4) → poly1, j, l, m, n, H, I
15. Polygon(H, G, 4) → poly2, p, q, r, s, J, K
16. Polygon(J, C, 4) → poly3, t, b, c, e, L, M
17. Polygon(L, I, 4) → poly4, h_1, i_1, j_1, k_1, N, P
18. Intersect(t, b) → Q
19. CircleArc(Q, D, B) → c_1
20. CircleArc(I, B, H) → d_1
21. CircleArc(K, H, J) → e_1
22. CircleArc(M, J, L) → p_1
23. CircleArc(P, L, N) → q_1
24. Polygon(N, K, 4) → poly5, l_1, m_1, n_1, r_1, R, S
25. CircleArc(S, N, R) → s_1
26. Polygon(R, M, 4) → poly6, t_1, a_1, b_1, f_2, T, U
27. CircleArc(U, R, T) → c_2
28. Polygon(T, P, 4) → poly7, g_2, h_2, i_2, j_2, V, W
29. CircleArc(W, T, V) → d_2