正五边形、正十边形与正二十面体的关系

GeoGebra 命令及参数

1. Segment(C, A) → f
2. Segment(A, G) → g
3. Segment(G, B_1) → h
4. Segment(B_1, A_1) → i
5. Segment(A_1, H) → j
6. Segment(H, C) → k
7. Segment(A, P) → l
8. Segment(P, H) → m
9. Segment(C, P) → n
10. Segment(P, G) → p
11. Segment(G, R) → q
12. Segment(H, R) → r
13. Segment(R, A_1) → s
14. Segment(R, B_1) → t
15. Segment(P, R) → b
16. OrthogonalLine(A, p) → c
17. Intersect(c, p) → B
18. Segment(A, B) → d
19. OrthogonalLine(R, p) → e
20. Intersect(e, p) → Q
21. Segment(R, Q) → f_1
22. Segment(N, M) → a
23. Segment(M, K) → g_1
24. Segment(K, L) → h_1
25. Segment(L, N) → i_1
26. Segment(T, S) → j_1
27. Segment(T, Q_1) → k_1
28. Segment(Q_1, R_1) → l_1
29. Segment(R_1, S) → m_1
30. Segment(T - (0, 1 / 2), Q_1 - (0, 1 / 2)) → n_1
31. Intersect(j_1, n_1) → U
32. Intersect(n_1, l_1) → V
33. Segment(O, P_1) → p_1
34. Polygon(C, B, A) → t1, a_1, c_1, b_1
35. Polygon(R, Q, P) → t2, p_2, r_1, q_1
36. Segment(H, G) → s_1
37. Angle(A, B, C) → α
38. Angle(P, Q, R) → β
39. Angle(B, C, A) → γ
40. Angle(P, G, H) → δ
41. Angle(Q, R, P) → ε