Seesaw 3D: 3D Geometric Construction and Solid Geometry Analysis

GeoGebra Commands & Parameters

1. Point(xAxis) → B
2. Point(xAxis) → A
3. LineBisector(A, B) → f
4. Line(A, B) → g
5. Intersect(f, g) → C
6. Point(f) → D
7. Segment(C, D) → h
8. Point(h) → E
9. Polygon(E, A, B) → t1, b, e, a
10. Circle(E, 6) → c
11. Intersect(c, g, 2) → F
12. Intersect(c, g, 1) → G
13. Point(c) → H
14. Line(E, g) → i
15. Mirror(F, i) → F'
16. Intersect(c, i, 2) → I
17. CircumcircleArc(F', I, F) → d
18. Point(d) → J
19. Ray(J, E) → j
20. Intersect(c, j, 2) → K
21. Segment(K, J) → k
22. Line(A, B) → l
23. Rotate(E, 90°, l) → E'
24. Rotate(A, 90°, l) → A'
25. Rotate(B, 90°, l) → B'
26. Polygon(E', A', B') → t1', b', e', a'
27. Rotate(K, 90°, l) → K'
28. Rotate(J, 90°, l) → J'
29. Segment(K', J') → k'
30. Intersect(zAxis, e') → L
31. Sphere(L, 0.3) → m
32. Intersect(yAxis, m, 1) → M
33. Intersect(yAxis, m, 2) → N
34. Vector(L, N) → u
35. Vector(L, M) → v
36. Translate(B', u) → B''
37. Translate(A', u) → A''
38. Translate(B', v) → B''_{1}
39. Translate(A', v) → A''_{1}
40. Translate(K', u) → K''
41. Translate(J', u) → J''
42. Segment(K'', J'') → k''
43. Translate(K', v) → K''_{1}
44. Translate(J', v) → J''_{1}
45. Segment(K''_{1}, J''_{1}) → k''_{1}
46. Polygon(K'', J'', J''_{1}, K''_{1}) → q1, n, j'', j''_{1}, p
47. Translate(E', v) → E''
48. Translate(E', u) → E''_{1}
49. Prism(q1, -0.2) → q, S, edgeK''S, edgeJ''T, edge4, edge3, edgeST, edgeTU, edgeUV, edgeSV, T, U, V, faceJ''K''ST, face5, face6, face4, faceSTUV
50. Polygon(E'', E''_{1}, B'', B''_{1}) → q2, e'', e''_{1}, b'', b''_{1}
51. Polygon(E''_{1}, A'', A''_{1}, E'') → q3, r, a'', a''_{1}, s
52. Polygon(E''_{1}, B'', A'') → t2, t, f_1, g_1
53. Polygon(A''_{1}, A'', B'', B''_{1}) → q4, h_1, i_1, j_1, k_1
54. Polygon(E'', A''_{1}, B''_{1}) → t3, l_1, m_1, n_1
55. Sphere(S, 1) → o
56. Intersect(edgeST, o, 1) → O
57. Sphere(V, 1) → w
58. Intersect(edgeUV, w) → P,
59. Line(V, S) → p_1
60. Rotate(P, -110°, p_1) → P'
61. Rotate(O, -110°, p_1) → O'
62. Polygon(O', P', V, S) → q5, o', p', v_1, s_1
63. Midpoint(O, P) → Q
64. Line(Q, zAxis) → q_1
65. OrthogonalLine(Q, faceSTUV) → r_1
66. Sphere(Q, 0.8) → a_1
67. Intersect(r_1, a_1) → R, W
68. Sphere(R, 0.5) → b_1
69. Line(R, yAxis) → t_1
70. Intersect(t_1, b_1) → Z, A_1
71. Segment(Z, A_1) → c_1
72. Segment(R, Q) → d_1
73. Midpoint(K''_{1}, J''_{1}) → B_1
74. OrthogonalPlane(B_1, k''_{1}) → p_2
75. Mirror(R, p_2) → R'
76. Mirror(Q, p_2) → Q'
77. Segment(R', Q') → e_1
78. Mirror(Z, p_2) → Z'
79. Mirror(A_1, p_2) → C_1
80. Segment(Z', C_1) → f_2
81. Mirror(q5, p_2) → q5'