中点四边形构造

GeoGebra 命令及参数

1. Polygon(A, B, C, D) → poly1, a_{12}, b_{11}, c_{12}, d_{12}
2. Midpoint(a_{12}) → E
3. Midpoint(d_{12}) → F
4. Midpoint(c_{12}) → G
5. Midpoint(b_{11}) → H
6. Polygon(A_1, B_1, C_1, D_1) → poly1_1, a_7, b_{10}, c_7, d_7
7. Midpoint(a_7) → E_1
8. Midpoint(d_7) → F_1
9. Midpoint(c_7) → G_1
10. Midpoint(b_{10}) → H_1
11. Polygon(A_2, B_2, C_2, D_2) → poly1_2, a_8, b_7, c_8, d_8
12. Midpoint(a_8) → E_2
13. Midpoint(d_8) → F_2
14. Midpoint(c_8) → G_2
15. Midpoint(b_7) → H_2
16. Polygon(A_3, B_3, C_3, D_3) → poly1_3, a_9, b_8, c_9, d_9
17. Midpoint(a_9) → E_3
18. Midpoint(d_9) → F_3
19. Midpoint(c_9) → G_3
20. Midpoint(b_8) → H_3
21. Polygon(A_4, B_4, C_4, D_4) → poly1_4, a_{10}, b_9, c_{10}, d_{10}
22. Midpoint(a_{10}) → E_4
23. Midpoint(d_{10}) → F_4
24. Midpoint(c_{10}) → G_4
25. Midpoint(b_9) → H_4
26. Polygon(A_5, B_5, C_5, D_5) → poly1_5, a_{11}, c_{13}, c_{11}, d_{11}
27. Midpoint(a_{11}) → E_5
28. Midpoint(d_{11}) → F_5
29. Midpoint(c_{11}) → G_5
30. Midpoint(c_{13}) → H_5
31. Polygon(F, G, H, E) → poly2, a_6, b_6, c_6, d_6
32. Polygon(F_1, G_1, H_1, E_1) → poly2_1, a_5, b_5, c_5, d_5
33. Polygon(F_2, G_2, H_2, E_2) → poly2_2, b_2, c, d_2, a
34. Polygon(F_3, G_3, H_3, E_3) → poly2_3, b_3, c_3, d_3, a_3
35. Polygon(F_4, G_4, H_4, E_4) → poly2_4, a_4, b_4, c_4, d_4
36. Polygon(F_5, G_5, H_5, E_5) → poly2_5, b_1, c_1, d_1, a_1