Robotic Arm Simulation

GeoGebra Commands & Parameters

1. Polygon(A, B, C, D) → q1, a, b, c, d
2. Polygon(E, F, G, H) → q2, e, f, g, h
3. Point(h) → I
4. CircleSector(I, H, E) → k
5. Point(e) → J
6. Intersect(d, g) → K
7. Segment(J, K) → i
8. Intersect(f, g) → L
9. Intersect(d, e) → M
10. Segment(L, M) → j
11. Intersect(j, i) → N
12. Circle(N, O) → p
13. Rotate(E, (-α), N) → E'
14. Rotate(F, (-α), N) → F'
15. Rotate(G, (-α), N) → G'
16. Rotate(H, (-α), N) → H'
17. Polygon(E', F', G', H') → q2', e', f', g', h'
18. Rotate(k, (-α), N) → k'
19. Rotate(I, (-α), N) → I'
20. Point(b) → P
21. Circle(P, 0.75) → q
22. Point(b) → Q
23. Circle(Q, 0.75) → r
24. Vector(Q, P1) → u
25. Translate(A, u) → A'
26. Translate(B, u) → B'
27. Translate(C, u) → C'
28. Translate(D, u) → D'
29. Polygon(A', B', C', D') → q1', a', b', c', d'
30. Translate(E', u) → E''
31. Translate(F', u) → F''
32. Translate(G', u) → G''
33. Translate(H', u) → H''
34. Polygon(E'', F'', G'', H'') → q2'', e'', f'', g'', h''
35. Translate(k', u) → k''
36. Translate(I', u) → I''
37. Translate(p, u) → p'
38. Translate(N, u) → N'
39. Translate(r, u) → r'
40. Translate(q, u) → q'
41. Translate(P, u) → P'
42. Translate(Q, u) → Q'
43. Polygon(E, H, S, T) → q3, e_1, h_1, s, t
44. Rotate(E, (-α), N) → E'_1
45. Rotate(H, (-α), N) → H'_1
46. Rotate(S, (-α), N) → S'
47. Rotate(T, (-α), N) → T'
48. Polygon(E'_1, H'_1, S', T') → q3', e'_1, h'_1, s', t'
49. Translate(E'_1, u) → U
50. Translate(H'_1, u) → V
51. Translate(S', u) → S''
52. Translate(T', u) → T''
53. Polygon(U, V, S'', T'') → q3'', u_1, v, s'', t''
54. Rotate(U, (-β), I'') → U'
55. Rotate(V, (-β), I'') → V'
56. Rotate(S'', (-β), I'') → S'''
57. Rotate(T'', (-β), I'') → T'''
58. Polygon(U', V', S''', T''') → q3''', u', v', s''', t'''
59. Rotate(k'', (-β), I'') → k'''
60. Polygon(T, S, W, Z) → q4, t_1, s_1, w, z_1
61. Rotate(T, (-α), N) → T'_1
62. Rotate(S, (-α), N) → S'_1
63. Rotate(W, (-α), N) → W'
64. Rotate(Z, (-α), N) → Z'
65. Polygon(T'_1, S'_1, W', Z') → q4', t'_1, s'_1, w', z'
66. Translate(T'_1, u) → A_1
67. Translate(S'_1, u) → B_1
68. Translate(W', u) → W''
69. Translate(Z', u) → Z''
70. Polygon(A_1, B_1, W'', Z'') → q4'', a_1, b_1, w'', z''
71. Rotate(A_1, (-β), I'') → C_1
72. Rotate(B_1, (-β), I'') → D_1
73. Rotate(W'', (-β), I'') → W'''
74. Rotate(Z'', (-β), I'') → Z'''
75. Polygon(C_1, D_1, W''', Z''') → q4''', c_1, d_1, w''', z'''
76. Midpoint(s''') → E_1
77. Rotate(C_1, (-γ), E_1) → F_1
78. Rotate(D_1, (-γ), E_1) → G_1
79. Rotate(W''', (-γ), E_1) → H_1
80. Rotate(Z''', (-γ), E_1) → I_1
81. Polygon(F_1, G_1, H_1, I_1) → q5, f_1, g_1, h_2, i_1
82. Midpoint(s) → J_1
83. CircleArc(J_1, S, T) → k_1
84. Rotate(k_1, (-α), N) → p_1
85. Rotate(J_1, (-α), N) → K_1
86. Translate(K_1, u) → L_1
87. Translate(p_1, u) → q_1
88. Rotate(q_1, (-β), I'') → r_1
89. Rotate(r_1, (-γ), E_1) → c_2
90. Rotate(L_1, (-β), I'') → M_1
91. Midpoint(w) → N_1
92. Polygon(N_1, W, O_1) → t1, o_1, n_1, w_1
93. Polygon(Z, N_1, P_1) → t2, p_2, z_2, n_2
94. Circle(W, O_1) → d_2
95. Point(d_2) → Q_1
96. Polygon(O_1, W, Q_1) → t3, q_2, o_2, w_2
97. Line(W, Q_1) → l
98. OrthogonalLine(W, l) → m
99. OrthogonalLine(Q_1, l) → n
100. Point(m) → R_1
101. OrthogonalLine(R_1, m) → j_1
102. Point(m) → S_1
103. Line(S_1, j_1) → l_1
104. Point(l_1) → T_1
105. Point(j_1) → U_1
106. Intersect(n, l_1) → V_1
107. Polygon(W, R_1, U_1, T_1, V_1, Q_1) → poly1, w_3, r_2, u_2, t_2, v_1, q_3
108. Line(T_1, N_1) → m_1
109. Circle(Z, P_1) → e_2
110. Point(e_2) → W_1
111. Polygon(Z, P_1, W_1) → t4, w_4, z_3, p_3
112. Line(Z, W_1) → f_2
113. OrthogonalLine(Z, f_2) → g_2
114. OrthogonalLine(W_1, f_2) → i_2
115. Point(i_2) → Z_1
116. OrthogonalLine(Z_1, i_2) → j_2
117. Point(g_2) → A_2
118. OrthogonalLine(A_2, g_2) → k_2
119. Point(k_2) → B_2
120. Point(j_2) → C_2
121. Polygon(W_1, Z_1, C_2, B_2, A_2, Z) → poly2, w_5, z_4, c_3, b_2, a_2, z_5
122. Rotate(N_1, (-α), N) → D_2
123. Rotate(W, (-α), N) → W'_1
124. Rotate(O_1, (-α), N) → E_2
125. Polygon(D_2, W'_1, E_2) → t1', e_3, d_3, w'_1
126. Rotate(W, (-α), N) → W'_2
127. Rotate(R_1, (-α), N) → F_2
128. Rotate(U_1, (-α), N) → G_2
129. Rotate(T_1, (-α), N) → H_2
130. Rotate(V_1, (-α), N) → I_2
131. Rotate(Q_1, (-α), N) → J_2
132. Polygon(W'_2, F_2, G_2, H_2, I_2, J_2) → poly1', w'_2, f_3, g_3, h_3, i_3, j_3
133. Rotate(Z, (-α), N) → Z'_1
134. Rotate(N_1, (-α), N) → K_2
135. Rotate(P_1, (-α), N) → L_2
136. Polygon(Z'_1, K_2, L_2) → t2', l_2, z'_1, k_3
137. Rotate(W_1, (-α), N) → M_2
138. Rotate(Z_1, (-α), N) → N_2
139. Rotate(C_2, (-α), N) → O_2
140. Rotate(B_2, (-α), N) → P_2
141. Rotate(A_2, (-α), N) → Q_2
142. Rotate(Z, (-α), N) → Z'_2
143. Polygon(M_2, N_2, O_2, P_2, Q_2, Z'_2) → poly2', m_2, n_3, o_3, p_4, q_4, z'_2
144. Translate(M_2, u) → R_2
145. Translate(N_2, u) → S_2
146. Translate(O_2, u) → T_2
147. Translate(P_2, u) → U_2
148. Translate(Q_2, u) → V_2
149. Translate(Z'_2, u) → W_2
150. Polygon(R_2, S_2, T_2, U_2, V_2, W_2) → poly2'', r_3, s_2, t_3, u_3, v_2, w_6
151. Translate(D_2, u) → Z_2
152. Translate(W'_1, u) → A_3
153. Translate(E_2, u) → B_3
154. Polygon(Z_2, A_3, B_3) → t1'', b_3, z_6, a_3
155. Translate(W'_2, u) → C_3
156. Translate(F_2, u) → D_3
157. Translate(G_2, u) → E_3
158. Translate(H_2, u) → F_3
159. Translate(I_2, u) → G_3
160. Translate(J_2, u) → H_3
161. Polygon(C_3, D_3, E_3, F_3, G_3, H_3) → poly1'', c_4, d_4, e_4, f_4, g_4, h_4
162. Translate(Z'_1, u) → I_3
163. Translate(K_2, u) → J_3
164. Translate(L_2, u) → K_3
165. Polygon(I_3, J_3, K_3) → t2'', k_4, i_4, j_4
166. Rotate(C_3, (-β), I'') → L_3
167. Rotate(D_3, (-β), I'') → M_3
168. Rotate(E_3, (-β), I'') → N_3
169. Rotate(F_3, (-β), I'') → O_3
170. Rotate(G_3, (-β), I'') → P_3
171. Rotate(H_3, (-β), I'') → Q_3
172. Polygon(L_3, M_3, N_3, O_3, P_3, Q_3) → poly1''', l_3, m_3, n_4, o_4, p_5, q_5
173. Rotate(R_2, (-β), I'') → R_3
174. Rotate(S_2, (-β), I'') → S_3
175. Rotate(T_2, (-β), I'') → T_3
176. Rotate(U_2, (-β), I'') → U_3
177. Rotate(V_2, (-β), I'') → V_3
178. Rotate(W_2, (-β), I'') → W_3
179. Polygon(R_3, S_3, T_3, U_3, V_3, W_3) → poly2''', r_4, s_3, t_4, u_4, v_3, w_7
180. Rotate(Z_2, (-β), I'') → Z_3
181. Rotate(A_3, (-β), I'') → A_4
182. Rotate(B_3, (-β), I'') → B_4
183. Polygon(Z_3, A_4, B_4) → t1''', b_4, z_7, a_4
184. Rotate(I_3, (-β), I'') → C_4
185. Rotate(J_3, (-β), I'') → D_4
186. Rotate(K_3, (-β), I'') → E_4
187. Polygon(C_4, D_4, E_4) → t2''', e_5, c_5, d_5
188. Rotate(R_3, (-γ), E_1) → F_4
189. Rotate(S_3, (-γ), E_1) → G_4
190. Rotate(T_3, (-γ), E_1) → H_4
191. Rotate(U_3, (-γ), E_1) → I_4
192. Rotate(V_3, (-γ), E_1) → J_4
193. Rotate(W_3, (-γ), E_1) → K_4
194. Polygon(F_4, G_4, H_4, I_4, J_4, K_4) → poly3, f_5, g_5, h_5, i_5, j_5, k_5
195. Rotate(C_4, (-γ), E_1) → L_4
196. Rotate(D_4, (-γ), E_1) → M_4
197. Rotate(E_4, (-γ), E_1) → N_4
198. Polygon(L_4, M_4, N_4) → t5, n_5, l_4, m_4
199. Rotate(L_3, (-γ), E_1) → O_4
200. Rotate(M_3, (-γ), E_1) → P_4
201. Rotate(N_3, (-γ), E_1) → Q_4
202. Rotate(O_3, (-γ), E_1) → R_4
203. Rotate(P_3, (-γ), E_1) → S_4
204. Rotate(Q_3, (-γ), E_1) → T_4
205. Polygon(O_4, P_4, Q_4, R_4, S_4, T_4) → poly4, o_5, p_6, q_6, r_5, s_4, t_5
206. Rotate(Z_3, (-γ), E_1) → U_4
207. Rotate(A_4, (-γ), E_1) → V_4
208. Rotate(B_4, (-γ), E_1) → W_4
209. Polygon(U_4, V_4, W_4) → t6, w_8, u_5, v_4
210. Rotate(O_4, (-δ), H_1) → Z_4
211. Rotate(P_4, (-δ), H_1) → A_5
212. Rotate(Q_4, (-δ), H_1) → B_5
213. Rotate(R_4, (-δ), H_1) → C_5
214. Rotate(S_4, (-δ), H_1) → D_5
215. Rotate(T_4, (-δ), H_1) → E_5
216. Polygon(Z_4, A_5, B_5, C_5, D_5, E_5) → poly4', z_8, a_5, b_5, c_6, d_6, e_6
217. Rotate(F_4, δ, I_1) → F_5
218. Rotate(G_4, δ, I_1) → G_5
219. Rotate(H_4, δ, I_1) → H_5
220. Rotate(I_4, δ, I_1) → I_5
221. Rotate(J_4, δ, I_1) → J_5
222. Rotate(K_4, δ, I_1) → K_5
223. Polygon(F_5, G_5, H_5, I_5, J_5, K_5) → poly3', f_6, g_6, h_6, i_6, j_6, k_6
224. Polygon(M_5, N_5, L_5, O_5) → q6, m_5, n_6, l_5, o_6
225. Point(n_6) → R_5
226. Polygon(N_5, P_5, Q_5, R_5) → q7, n_7, p_7, q_7, r_6
227. Polygon(P_5, S_5, T_5, U_5) → q8, p_8, s_5, t_6, u_6
228. Segment(L_5, R_5) → l_6
229. Segment(S_5, Q_5) → m_6
230. Point(q_7) → Z_5
231. Point(q_7) → A_6
232. Polygon(V_5, W_5, Z_5, A_6) → q9, v_5, w_9, z_9, a_6