八边形折叠演示

GeoGebra 命令及参数

1. Polygon(A, C, D, B) → vierhoek1, a, c, d, b
2. Segment(DD, E) → f
3. Vector((0, -0.15)) → u
4. Polygon(B, DD, E, D) → vierhoek2, b_1, dd, e, d_1
5. Polygon(A, C, E, DD) → vierhoek3, a_1, c_1, e_1, dd_1
6. If(s < 1, vierhoek3, If[1 < s ≤ 2, Polygon[Translate[A, Vector[((s - 1) * u)]], Translate[C, Vector[((s - 1) * u)]], Translate[E, Vector[((s - 1) * u)]], Translate[DD, Vector[((s - 1) * u)]]], Polygon[Translate[A, u], Translate[C, u], Translate[E, u], Translate[DD, u]]]) → vierhoek4
7. Vector(D, B) → v
8. Translate(afbeelding1, Vector[(1.25 * ((s - 1) * v))]) → afbeelding1'
9. Segment(B, E) → g
10. CircleArc(B, DD, D) → h
11. Segment(DD, D) → i
12. Polygon(A2, A1, D1, D2) → vierhoek5, a2, a1, d1, d2
13. Mirror(D, d1) → DB
14. Mirror(DD, a2) → DDB
15. CircleArc(D2, DB, D) → k
16. CircleArc(A2, DD, DDB) → p
17. Polygon(B, A2, A1, E, D1, D2) → veelhoek1, b_2, a2_1, a1_1, e_2, d1_1, d2_1
18. Polygon(D1, D, D2) → driehoek1, d2_2, d1_2, d_2
19. Rotate(D1, (((-(s - 3)) * 180))°, d1) → D1'
20. Rotate(D, (((-(s - 3)) * 180))°, d1) → D'
21. Rotate(D2, (((-(s - 3)) * 180))°, d1) → D2'
22. Polygon(D1', D', D2') → driehoek1', d2', d1', d'
23. Polygon(D2, DB, D1) → driehoek2, d1_3, d2_3, db
24. Midpoint(B, E) → M
25. Rotate(D2, 180°, M) → D2'_1
26. Rotate(DB, 180°, M) → DB'
27. Rotate(D1, 180°, M) → D1'_1
28. Polygon(D2'_1, DB', D1'_1) → driehoek2', d1'_1, d2'_1, db'
29. Polygon(B, B1, B2) → driehoek4, b2, b_3, b1
30. Polygon(A2, DD, A1) → driehoek3, a1_2, a2_2, dd_2
31. Rotate(A2, (((-(s - 3)) * 180))°, a2) → A2'
32. Rotate(DD, (((-(s - 3)) * 180))°, a2) → DD'
33. Rotate(A1, (((-(s - 3)) * 180))°, a2) → A1'
34. Polygon(A2', DD', A1') → driehoek3', a1', a2', dd'
35. Polygon(B2, B1, A2, A1, C1, C2, D1, D2) → veelhoek2, b2_1, b1_1, a2_3, a1_3, c1, c2, d1_4, d2_4
36. Polygon(B1, C1, C2, B2) → vierhoek6, b1_2, c1_1, c2_1, b2_2
37. Segment(DDB, DB) → j
38. Rotate(B, (((s - 5) * 180))°, b_3) → B'
39. Rotate(B1, (((s - 5) * 180))°, b_3) → B1'
40. Rotate(B2, (((s - 5) * 180))°, b_3) → B2'
41. Polygon(B', B1', B2') → driehoek4', b2', b', b1'
42. Polygon(B2, B1, A2, A1, C1, C2, D1, D2) → veelhoek3, b2_3, b1_3, a2_4, a1_4, c1_2, c2_2, d1_5, d2_5
43. Rotate(C1, (((-(s - 5)) * 180))°, c1) → C1'
44. Rotate(E, (((-(s - 5)) * 180))°, c1) → E'
45. Rotate(C2, (((-(s - 5)) * 180))°, c1) → C2'
46. Polygon(C1', E', C2') → driehoek5', c2', c1', e'
47. Rotate(DDB, 90°, M) → DDB'
48. Rotate(DB, 90°, M) → DB'_1
49. Segment(DDB', DB'_1) → j'
50. Polygon(B1, DB'_1, B2) → driehoek5, b2_4, b1_4, db'_1
51. Polygon(C1, DDB', C2) → driehoek6, c2_3, c1_3, ddb'
52. Rotate(B1, (((-(s - 6)) * 45))°, M) → B1'_1
53. Rotate(C1, (((-(s - 6)) * 45))°, M) → C1'_1
54. Rotate(C2, (((-(s - 6)) * 45))°, M) → C2'_1
55. Rotate(B2, (((-(s - 6)) * 45))°, M) → B2'_1
56. Polygon(B1'_1, C1'_1, C2'_1, B2'_1) → vierhoek6', b1'_1, c1'_1, c2'_1, b2'_1
57. Mirror(B2, M) → E1
58. Mirror(B1, M) → E2
59. Mirror(B, b2_2) → BB
60. Mirror(BB, M) → EE
61. CircleArc(B1, BB, B) → q
62. CircleArc(C1, E, EE) → r