二十面体：黄金矩形与张力结构

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → Z
2. Polynomial(Lp) → f
3. Plane(zAxis, xAxis) → b
4. Mirror(I, b) → I'
5. Plane(xAxis, yAxis) → c
6. Mirror(I', c) → I''
7. Mirror(I, c) → I'_1
8. Polygon(I'', I'_1, I, I') → rec1, i'', i'_1, i, i'
9. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
10. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
11. Mirror(I'_1, c) → J
12. Rotate(rec1, 90°, xAxis) → poly1'
13. Rotate(poly1', -90°, zAxis) → rec2
14. Rotate(rec1, (-(90°)), yAxis) → poly1'_1
15. Rotate(poly1'_1, 90°, zAxis) → rec3
16. Translate(rec1, Vector[(f(t) * v)]) → rec1'
17. Translate(rec2, Vector[(f(t) * u)]) → rec2'
18. Translate(rec3, Vector[(f(t) * w)]) → rec3'
19. PointIn(rec1') → K
20. PointIn(rec1') → L
21. PointIn(rec2') → M
22. Polygon(K, L, M) → poly1, m, k, l
23. PointIn(rec2') → N
24. PointIn(rec2') → O
25. PointIn(rec2') → P
26. PointIn(rec1') → Q
27. PointIn(rec1') → R
28. PointIn(rec3') → S
29. PointIn(rec3') → T
30. PointIn(rec3') → U
31. PointIn(rec3') → V
32. Polygon(L, K, N) → poly2, n, l_1, k_1
33. Polygon(M, U, P) → poly3, p, m_1, u_1
34. Polygon(M, V, P) → poly4, p_1, m_2, v_1
35. Polygon(N, S, O) → poly5, o, n_1, s
36. Polygon(Q, P, R) → poly6, r, q, p_2
37. Polygon(Q, O, R) → poly7, r_1, q_1, o_1
38. Polygon(K, S, U) → poly8, u_2, k_2, s_1
39. Polygon(S, U, Q) → poly9, q_2, s_2, u_3
40. Polygon(L, V, T) → poly10, t_1, l_2, v_2
41. Polygon(N, T, O) → poly11, o_2, n_2, t_2
42. Polygon(V, T, R) → poly12, r_2, v_3, t_3