折纸获得分数：几何构造与分数表示

GeoGebra 命令及参数

1. Polygon(A, B, 4) → square, AB, BC, CD, DA, C, D
2. Mirror(B, CD) → B'
3. Mirror(B, DA) → B'_1
4. Mirror(B, D) → B'_2
5. Polygon(B, B', B'_2, B'_1) → boundary, b_1, b', b'_2, b'_1
6. PointIn(boundary) → E
7. LineBisector(E, B) → j
8. Intersect(j, BC) → F
9. Intersect(j, DA) → H
10. Mirror(A, j) → A'
11. If(FH, Intersect[DA, Segment[E, A']]) → J
12. Segment(A, J) → JA
13. Intersect(j, AB) → G
14. Intersect(j, CD) → I
15. Mirror(C, j) → C'
16. If(FG, Polygon[E, F, G], FH, Polygon[E, F, H, A'], GI, Polygon[E, C', I, G], HI, Polygon[E, C', I, H, A']) → fold
17. Midpoint(C, D) → M
18. Segment(D, M) → DM
19. Segment(M, C) → MC
20. Segment(D, J) → DJ
21. FractionText(1 - left) → text2
22. FractionText(left) → textA
23. Midpoint(A, D) → N
24. Segment(C, E) → CE
25. Segment(D, E) → DE
26. FractionText(top) → textB
27. FractionText(1 - top) → text1
28. Segment(C, F) → CF
29. Segment(F, B) → FB
30. FractionText(right) → textC
31. FractionText(1 - right) → text3
32. Segment(E, J) → EJ
33. Segment(J, A') → JA'
34. Segment(A', H) → HA'
35. Segment(E, A') → EA'
36. FractionText(flip) → textD
37. FractionText(1 - flip) → text4
38. FractionText(flip2) → textE