正六面体10重叠-A

GeoGebra 命令及参数

1. Intersect(c, xAxis, 1) → A
2. Rotate(A, 72°, O) → A'
3. Rotate(A', 72°, O) → A''
4. Rotate(A'', 72°, O) → A'''
5. Rotate(A''', 72°, O) → B
6. Point(Circle[((A * (1 - sqrt(5))) + (A' * (3 + sqrt(5)))) / 4, (Distance[A, A'] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[A, A']]) → C
7. Dodecahedron(A, A', C) → a, D, M, N, P, Q, R, S, T, U, faceAA'CDE, faceAEIPJ, E, faceAA'FKJ, faceA'CGLF, faceCDHMG, faceDEINH, faceINTUP, faceJKQUP, faceFKQRL, faceGLRSM, faceHMSTN, faceQRSTU, F, edgeAE, edgeAA', edgeA'C, edgeCD, edgeDE, edgeAJ, edgeEI, edgeIP, edgeJP, edgeJK, G, edgeFK, edgeA'F, edgeFL, edgeGL, edgeCG, edgeGM, edgeHM, edgeDH, edgeHN, edgeIN, H, edgeNT, edgeTU, edgePU, edgeQU, edgeKQ, edgeQR, edgeLR, edgeRS, edgeMS, edgeST, I, J, K, L
8. Midpoint(Q, D) → V
9. Vector(V, O) → u
10. Translate(c, u) → c'
11. Translate(A, u) → B_1
12. Translate(A', u) → B_2
13. Translate(A'', u) → B_3
14. Point(Circle[((B_1 * (1 - sqrt(5))) + (B_2 * (3 + sqrt(5)))) / 4, (Distance[B_1, B_2] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[B_1, B_2]]) → W
15. Dodecahedron(B_1, B_2, W) → b, Z, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, face1, face3, A_1, face2, face4, face5, face6, face10, face11, face7, face8, face9, face12, C_1, edge2, edge1, edge4, edgeWZ, edge7, edge3, edge9, edge17, edge19, edge18, D_1, edge10, edge5, edge11, edge12, edge6, edge13, edge14, edge8, edge15, edge16, E_1, edge23, edge29, edge24, edge26, edge20, edge25, edge21, edge27, edge22, edge28, F_1, G_1, H_1, I_1
16. Intersect(edge12, edge13) → R_1
17. Polygon(P_1, N_1, R_1, E_1) → q1, p_1, n_1, r_1, e_1
18. Prism(q1, L_1) → d, S_1, edge34, edge35, edge30, edge32, edge36, edge37, edge33, T_1, U_1, face15, face17, face14, face13, face16, edge31
19. Line(U_1, N_1) → f
20. OrthogonalLine(P_1, f, space) → g
21. OrthogonalLine(Q_1, f, space) → h
22. Intersect(f, h) → V_1
23. Angle(P_1, V_1, Q_1) → α
24. Rotate(d, α, f) → d'
25. OrthogonalLine(O_1, f, space) → i
26. Line(V_1, i) → j
27. Point(j) → W_1
28. Angle(W_1, V_1, P_1) → β
29. Rotate(d, (-β), f) → d'_1
30. Line(G_1, J_1) → k
31. OrthogonalLine(Q_1, k, space) → l
32. OrthogonalLine(S_1, k, space) → m
33. Intersect(m, k) → Z_1
34. Line(Z_1, l) → n
35. Point(n) → A_2
36. Line(Q_1, J_1) → p
37. Point(edge20) → C_2
38. Line(C_2, J_1) → q
39. Angle(C_2, J_1, Q_1) → γ
40. Rotate(d', (-γ), k) → d''
41. Rotate(d'', 72°, zAxis) → d'''
42. Rotate(d'', 144°, zAxis) → d'''_1
43. Rotate(d'', 216°, zAxis) → d'''_2
44. Rotate(d'', 288°, zAxis) → d'''_3
45. Rotate(d'_1, 72°, zAxis) → e
46. Rotate(e, 72°, zAxis) → e'
47. Rotate(e', 72°, zAxis) → e''
48. Rotate(e'', 72°, zAxis) → e'''