Points in 3D Coordinate System Activity

GeoGebra Commands & Parameters

1. Dilate(D, If[0 < d ≤ 1, 1 - d, 0], A_{5}) → D'
2. Dilate(A_{5}, If[1 < d ≤ 2, 2 - d, 0], B_{5}) → A'
3. Dilate(B_{5}, If[2 < d ≤ 3, 3 - d, 0], C_{3}) → B'
4. Distance(D, D') → distanceDD'
5. Distance(A_{5}, A') → distanceAA'
6. Distance(B_{5}, B') → distanceBB'
7. Vector(D, D') → u
8. Vector(A_{5}, A') → v
9. Vector(B_{5}, B') → w
10. Textfield(a) → InputBox1
11. Textfield(b) → InputBox2
12. Textfield(c) → InputBox3
13. Point(xAxis) → E
14. Point(Circle[F, Distance[E, F], Segment[E, F]]) → G
15. Point(yAxis) → H
16. Point(Circle[H, Distance[D, H], Segment[D, H]]) → I
17. Point(yAxis) → O
18. Point(Circle[O, Distance[H, O], Segment[H, O]]) → P
19. Point(yAxis) → V
20. Point(Circle[V, Distance[O, V], Segment[O, V]]) → W
21. Point(yAxis) → E_1
22. Point(Circle[E_1, Distance[V, E_1], Segment[V, E_1]]) → F_1
23. Point(Circle[P, Distance[I, P], Segment[I, P]]) → R_2
24. Intersect(xAxis, yAxis) → J
25. Point(xAxis) → K
26. Point(Circle[K, Distance[J, K], Segment[J, K]]) → L
27. Cube(J, K, L) → h, M, FlächeLMSR, FlächeNQRS, KanteJM, KanteJK, KanteKL, KanteLM_{1}, KanteJN, KanteMS, KanteNS, KanteNQ_{1}, N, KanteKQ, KanteQR, KanteLR, KanteRS, Q, R, S, FlächeJKLM, FlächeJMSN, FlächeJKQN, FlächeKLRQ
28. Point(xAxis) → T
29. Point(Circle[T, Distance[K, T], Segment[K, T]]) → U
30. Cube(K, T, U) → i, Z, Fläche4, Fläche5, KanteKZ, KanteKT, KanteTU, KanteUZ, Kante1, Kante4, Kante6, Kante5, A_1, Kante2, Kante7, Kante3, Kante8, B_1, C_1, D_1, FlächeKTUZ, Fläche2, Fläche1, Fläche3
31. Point(xAxis) → G_1
32. Point(Circle[G_1, Distance[T, G_1], Segment[T, G_1]]) → H_1
33. Cube(T, G_1, H_1) → j, I_1, Fläche10, Fläche11, Kante10, Kante9, Kante12, Kante14, Kante11, Kante16, Kante18, Kante17, J_1, Kante13, Kante19, Kante15, Kante20, K_1, L_1, M_1, Fläche6, Fläche8, Fläche7, Fläche9
34. Point(xAxis) → N_1
35. Point(Circle[N_1, Distance[G_1, N_1], Segment[G_1, N_1]]) → O_1
36. Point(Circle[Q, Distance[N, Q], Segment[N, Q]]) → U_1
37. Point(Circle[J_1, Distance[A_1, J_1], Segment[A_1, J_1]]) → C_2
38. Cube(A_1, J_1, C_2) → m, D_2, Fläche28, Fläche29, Kante45, Kante44, Kante47, Kante49, Kante46, Kante51, Kante53, Kante52, E_2, Kante48, Kante54, Kante50, Kante55, F_2, G_2, H_2, Fläche24, Fläche26, Fläche25, Fläche27
39. Point(Circle[L, Distance[M, L], Segment[M, L]]) → V_2
40. Point(Circle[U, Distance[L, U], Segment[L, U]]) → D_3
41. Point(Circle[D_3, Distance[V_2, D_3], Segment[V_2, D_3]]) → P_3
42. Intersect(Kante53, Kante46) → P_1
43. Point(Kante52) → Q_1
44. Point(Circle[Q_1, Distance[P_1, Q_1], Segment[P_1, Q_1]]) → R_1
45. Cube(P_1, Q_1, R_1) → k, S_1, Fläche16, Fläche17, Kante22, Kante21, Kante24, Kante26, Kante23, Kante28, Kante30, Kante29, T_1, Kante25, Kante31, Kante27, Kante32, V_1, W_1, Z_1, Fläche12, Fläche14, Fläche13, Fläche15
46. Point(Circle[V_1, Distance[T_1, V_1], Segment[T_1, V_1]]) → A_2
47. Cube(T_1, V_1, A_2) → l, B_2, Fläche22, Fläche23, Kante34, Kante33, Kante36, Kante38, Kante35, Kante40, Kante42, Kante41, I_2, Kante37, Kante43, Kante39, Kante56, J_2, K_2, L_2, Fläche18, Fläche20, Fläche19, Fläche21
48. Point(Circle[A_2, Distance[K_2, A_2], Segment[K_2, A_2]]) → M_2
49. Cube(K_2, A_2, M_2) → n, N_2, Fläche34, Fläche35, Kante60, Kante57, Kante58, Kante62, Kante61, Kante64, Kante66, Kante65, O_2, Kante59, Kante67, Kante63, Kante68, P_2, Q_2, S_2, Fläche30, Fläche33, Fläche31, Fläche32
50. Point(Circle[M_2, Distance[N_2, M_2], Segment[N_2, M_2]]) → T_2
51. Cube(N_2, M_2, T_2) → o, U_2, Fläche40, Fläche41, Kante72, Kante69, Kante70, Kante74, Kante73, Kante76, Kante78, Kante77, W_2, Kante71, Kante79, Kante75, Kante80, Z_2, A_3, B_3, Fläche36, Fläche39, Fläche37, Fläche38
52. Point(Kante73) → A
53. Intersect(Kante72, Kante69) → E_3
54. Point(Circle[E_3, Distance[A, E_3], Segment[A, E_3]]) → F_3
55. Intersect(Kante3, KanteUZ) → L_3
56. Point(Circle[C, Distance[L_3, C], Segment[L_3, C]]) → N_3
57. Cube(L_3, C, N_3) → q, O_3, face11, face12, edge14, edge13, edge16, edge18, edge15, edge20, edge22, edge21, Q_3, edge17, edge23, edge19, edge24, R_3, S_3, T_3, face7, face9, face8, face10
58. Point(Kante38) → U_3
59. Intersect(Kante56, Kante40) → B
60. Point(Circle[B, Distance[U_3, B], Segment[U_3, B]]) → W_3
61. Cube(U_3, B, W_3) → r, Z_3, face17, face18, edge26, edge25, edge28, edge30, edge27, edge32, edge34, edge33, A_4, edge29, edge35, edge31, edge36, B_4, C_4, D_4, face13, face15, face14, face16
62. Intersect(edge17, edge16) → G_3
63. Point(Circle[H_3, Distance[G_3, H_3], Segment[G_3, H_3]]) → I_3
64. Cube(G_3, H_3, I_3) → p, J_3, face5, face6, edge2, edge1, edge4, edge6, edge3, edge8, edge10, edge9, K_3, edge5, edge11, edge7, edge12, E_4, F_4, G_4, face1, face3, face2, face4