球体与十二面体的对称性

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → STAR
2. Circle(STAR, a) → c
3. Sphere(STAR, a) → b
4. Point(c) → planet
5. Circle(STAR, d) → e
6. Point(e) → F
7. Segment(STAR, F) → f
8. Rotate(F, 72°, STAR) → G
9. Segment(STAR, G) → g
10. Rotate(G, 72°, STAR) → H
11. Segment(STAR, H) → h
12. Rotate(H, 72°, STAR) → C
13. Segment(STAR, C) → i
14. Rotate(C, 72°, STAR) → B
15. Segment(B, STAR) → j
16. Polygon(F, G, 5) → poly1, k, m, n, p, q, C_1, E, F_1
17. Dodecahedron(poly1, true) → l, A, P, Q, R, S, T, U, face1, faceAGFKL, face2, face3, D, face4, faceJOTUP, faceKLQUP, faceALQRM, faceDMRSN, faceINSTO, faceQRSTU, edgeFK, edge2, edgeJP, I, edgeKP, edgeKL, edgeAL, edgeAG, edgeAM, edgeDM, edge1, edgeDN, edgeIN, edgeEI, J, edgeIO, edgeJO, edgeOT, edgeTU, edgePU, edgeQU, edgeLQ, edgeQR, edgeMR, edgeRS, K, edgeNS, edgeST, L, M, N, O
18. Segment(H, planet) → r
19. Segment(C, planet) → s
20. Segment(B, planet) → t
21. Segment(G, planet) → f_1
22. Segment(F, planet) → g_1
23. Segment(S, planet) → h_1
24. Segment(T, planet) → i_1
25. Segment(Q, planet) → j_1
26. Segment(R, planet) → k_1
27. Segment(U, planet) → l_1
28. Segment(N, planet) → m_1
29. Segment(D, planet) → n_1
30. Segment(O, planet) → p_1
31. Segment(J, planet) → q_1
32. Segment(M, planet) → r_1
33. Segment(P, planet) → s_1
34. Segment(A, planet) → t_1
35. Segment(L, planet) → a_1
36. Segment(K, planet) → b_1
37. Segment(I, planet) → c_1