十二面体舞台

GeoGebra 命令及参数

1. Rotate(A, 72°, zAxis) → B
2. Rotate(B, 72°, zAxis) → C
3. Dodecahedron(A, B, C) → a_{1}, D, M, N, P, Q, R, S, T, U, faceABCDE, faceAEIPJ, E, faceABFKJ, faceBCGLF, faceCDHMG, faceDEINH, faceINTUP, faceJKQUP, faceFKQRL, faceGLRSM, faceHMSTN, faceQRSTU, F, edgeAE, edgeAB, edgeBC, edgeCD, edgeDE, edgeAJ, edgeEI, edgeIP, edgeJP, edgeJK, G, edgeFK, edgeBF, edgeFL, edgeGL, edgeCG, edgeGM, edgeHM, edgeDH, edgeHN, edgeIN, H, edgeNT, edgeTU, edgePU, edgeQU, edgeKQ, edgeQR, edgeLR, edgeRS, edgeMS, edgeST, I, J, K, L
4. Intersect(zAxis, faceQRSTU) → V
5. Distance(O, V) → h2
6. Midpoint(V, O) → W
7. Vector(V, A_{1}) → u
8. Vector(O, A_{2}) → v
9. Translate(faceQRSTU, u) → faceQRSTU'
10. Translate(T, u) → T'
11. Translate(U, u) → U'
12. Segment(T', U') → edgeTU'
13. Translate(Q, u) → Q'
14. Translate(R, u) → R'
15. Translate(S, u) → S'
16. Translate(M, u) → M'
17. Translate(N, u) → N'
18. Translate(H, u) → H'
19. Translate(P, u) → P'
20. Translate(I, u) → I'
21. Translate(J, u) → J'
22. Translate(K, u) → K'
23. Translate(F, u) → F'
24. Translate(L, u) → L'
25. Translate(G, u) → G'
26. Polygon(R', L', G', M', S') → poly1, r', l', g', m', s'
27. Rotate(poly1, r_{t}, s') → poly1'
28. Rotate(poly1', 72°, zAxis) → poly1''
29. Rotate(poly1'', 72°, zAxis) → poly1'''
30. Rotate(poly1''', 72°, zAxis) → poly2
31. Rotate(poly2, 72°, zAxis) → poly2'
32. OrthogonalPlane(W, zAxis) → p
33. Mirror(poly2, p) → poly2'_{1}
34. Rotate(poly2'_{1}, 36°, zAxis) → poly3
35. Rotate(poly3, 72°, zAxis) → poly3'
36. Rotate(poly3', 72°, zAxis) → poly3''
37. Rotate(poly3'', 72°, zAxis) → poly3'''
38. Rotate(poly3''', 72°, zAxis) → poly4
39. Translate(B, v) → B'
40. Translate(A, v) → A'
41. Translate(C, v) → C'
42. Translate(E, v) → E'
43. Translate(D, v) → D'
44. Polygon(B', A', E', D', C') → poly5, b', a', e', d', c'
45. Intersect(zAxis, faceQRSTU') → Z
46. Point(zAxis) → B_1
47. Point(zAxis) → C_1
48. Point(zAxis) → D_1
49. Point(zAxis) → E_1
50. Cylinder(E_1, D_1, 2) → d, e, f, g
51. Cylinder(E_1, C_1, 0.5) → c, k, q, i