Theo Jansen Mechanism

GeoGebra Commands & Parameters

1. Line(B_4, yAxis) → l_9
2. Line(A, xAxis) → g
3. Circle(A, 5) → f
4. Intersect(f, g, 1) → C
5. Circle(A, r) → c
6. Point(c) → B
7. Rotate(B, α, A) → B'
8. Rotate(B', 120*°, A) → B''_1
9. Rotate(B''_1, 120*°, A) → B'''
10. Segment(A, B''') → a
11. Segment(A, B''_1) → b
12. Segment(A, B') → d
13. Intersect(f, g, 2) → D
14. Circle(D, r_2) → k
15. Circle(C, r_2) → h
16. Point(h) → E
17. Circle(B', 6) → e
18. Intersect(h, e, 1) → F
19. Intersect(h, e, 2) → G
20. Intersect(k, e, 2) → H
21. Intersect(k, e, 1) → I
22. Segment(B', F) → i
23. Segment(B', G) → j
24. Segment(B', H) → l
25. Segment(B', I) → m
26. Segment(C, F) → n
27. Segment(C, G) → p
28. Segment(D, H) → q
29. Segment(D, I) → s
30. OrthogonalLine(C, n) → t
31. OrthogonalLine(D, q) → a_1
32. Intersect(h, t, 2) → J
33. Intersect(k, a_1, 1) → K
34. Polygon(F, C, J) → polígono1, j_1, f_1, c_1
35. Polygon(H, K, D) → polígono2, d_1, h_1, k_1
36. Line(G, t) → b_1
37. Line(I, a_1) → e_1
38. Line(J, p) → g_1
39. Line(K, s) → i_1
40. Intersect(b_1, g_1) → L
41. Intersect(e_1, i_1) → M
42. Polygon(K, M, I, D) → polígono3, k_2, m_1, i_2, d_2
43. Polygon(C, G, L, J) → polígono4, c_2, g_2, l_1, j_2
44. OrthogonalLine(G, b_1) → n_1
45. Circle(G, 4) → q_1
46. Intersect(q_1, n_1, 2) → N
47. Polygon(G, L, N) → polígono5, n_2, g_3, l_2
48. Circle(N, 1) → s_1
49. Intersect(s_1, n_1, 2) → P_4
50. Segment(N, P_4) → a_2
51. OrthogonalLine(I, m_1) → p_1
52. Circle(I, 4) → r_1
53. Intersect(r_1, p_1, 2) → O
54. Polygon(I, O, M) → polígono6, m_2, i_3, o
55. Circle(O, 1) → t_1
56. Intersect(t_1, p_1) → Q_4, R
57. Segment(O, R) → b_2
58. Circle(B''_1, 6) → e_2
59. Intersect(h, e_2, 1) → S
60. Intersect(h, e_2, 2) → T
61. Intersect(k, e_2, 2) → U
62. Intersect(k, e_2, 1) → V
63. Segment(S, B''_1) → f_2
64. Segment(B''_1, T) → h_2
65. Segment(U, B''_1) → p_2
66. Segment(V, B''_1) → q_2
67. Segment(D, U) → r_6
68. Segment(V, D) → s_2
69. Segment(S, C) → t_2
70. Segment(C, T) → a_3
71. OrthogonalLine(C, t_2) → b_3
72. OrthogonalLine(D, r_6) → c_3
73. Intersect(k, c_3, 1) → W
74. Intersect(h, b_3, 1) → Z
75. Polygon(S, C, Z) → polígono7, z, s_3, c_4
76. Polygon(U, W, D) → polígono8, d_3, u_2, w
77. Line(Z, a_3) → e_3
78. Line(W, s_2) → f_3
79. Line(T, s_3) → h_3
80. Line(V, u_2) → j_3
81. Intersect(e_3, h_3) → A_1
82. Intersect(f_3, j_3) → B_1
83. Polygon(Z, A_1, T, C) → polígono9, z_1, a_4, t_3, c_5
84. Polygon(D, V, B_1, W) → polígono10, d_4, v, b_4, w_1
85. OrthogonalLine(T, a_4) → k_3
86. OrthogonalLine(V, v) → l_3
87. Circle(T, 4) → p_3
88. Circle(V, 4) → q_3
89. Intersect(p_3, k_3, 1) → C_1
90. Intersect(q_3, l_3, 1) → D_1
91. Polygon(A_1, C_1, T) → polígono11, t_4, a_5, c_6
92. Polygon(B_1, D_1, V) → polígono12, v_1, b_5, d_5
93. Circle(C_1, 1) → r_3
94. Circle(D_1, 1) → e_4
95. Intersect(r_3, k_3, 1) → E_1
96. Intersect(e_4, l_3, 1) → F_1
97. Segment(C_1, E_1) → m_3
98. Segment(D_1, F_1) → n_3
99. Circle(B''', 6) → f_4
100. Intersect(h, f_4) → G_1, H_1, ,
101. Intersect(k, f_4) → I_1, J_1, ,
102. Segment(G_1, B''') → g_4
103. Segment(H_1, B''') → h_4
104. Segment(B''', J_1) → i_4
105. Segment(B''', I_1) → j_4
106. Segment(D, J_1) → k_4
107. Segment(D, I_1) → l_4
108. Segment(H_1, C) → m_4
109. Segment(C, G_1) → n_4
110. OrthogonalLine(C, n_4) → p_4
111. OrthogonalLine(D, k_4) → q_4
112. Intersect(h, p_4, 2) → K_1
113. Intersect(k, q_4, 1) → L_1
114. Polygon(J_1, L_1, D) → polígono13, d_6, j_5, l_5
115. Polygon(G_1, C, K_1) → polígono14, k_5, g_5, c_7
116. Line(H_1, g_5) → r_4
117. Line(I_1, j_5) → s_4
118. Line(K_1, m_4) → e_5
119. Line(L_1, l_4) → f_5
120. Intersect(r_4, e_5) → M_1
121. Intersect(s_4, f_5) → N_1
122. Polygon(K_1, C, H_1, M_1) → polígono15, k_6, c_8, h_5, m_5
123. Polygon(L_1, N_1, I_1, D) → polígono16, l_6, n_5, i_5, d_7
124. Line(H_1, m_4) → p_5
125. Line(I_1, i_5) → q_5
126. Circle(H_1, 4) → r_5
127. Circle(I_1, 4) → s_5
128. OrthogonalLine(H_1, h_5) → t_5
129. Circle(H_1, 4) → e_6
130. Circle(I_1, 4) → f_6
131. Intersect(e_6, t_5, 2) → O_1
132. Polygon(H_1, O_1, M_1) → polígono17, m_6, h_6, o_1
133. Circle(O_1, 1) → g_6
134. Intersect(g_6, t_5, 2) → Q_1
135. Segment(O_1, Q_1) → a_6
136. Polygon(F, C, B') → poly1, b', f_7, c_9
137. Polygon(H, B', D) → poly2, d_8, h_7, b'_1
138. Polygon(G, C, B') → poly3, b'_2, g_7, c_{10}
139. Polygon(D, I, B') → poly4, b'_3, d_9, i_7
140. If(patas_1, 0, 1) → u
141. If(patas_1, 0, 1) → v_2
142. If(patas_1, 0, 1) → w_2
143. If(patas_1, 0, 1) → o_3
144. If(patas_1, 0, 1) → v_3
145. If(patas_1, 0, 1) → w_3
146. Polygon(B', F, J, L, N, G) → poly8, b'_4, f_9, j_7, l_7, n_7, g_9
147. Polygon(B', H, K, M, O, I) → poly9, b'_5, h_9, k_7, m_7, o_2, i_8
148. Segment(K_2, M_2) → s_6
149. Point(s_6) → N_2
150. Vector(M_2, N_2) → u_1
151. Dilate(N_2, dezact1, K_2) → O_2
152. Vector(K_2, O_2) → u_3
153. Translate(B', u_3) → B''_2
154. Translate(F, u_3) → F'
155. Translate(J, u_3) → J'
156. Translate(L, u_3) → L'
157. Translate(N, u_3) → N'
158. Translate(G, u_3) → G'
159. Polygon(B''_2, F', J', L', N', G') → poly8', b'', f', j', l', n', g'
160. Dilate(N_2, dezact1_2, K_2) → Q_2
161. Vector(K_2, Q_2) → u_4
162. Translate(B', u_4) → B''
163. Translate(H, u_4) → H'
164. Translate(K, u_4) → K'
165. Translate(M, u_4) → M'
166. Translate(O, u_4) → O'
167. Translate(I, u_4) → I'
168. Polygon(B'', H', K', M', O', I') → poly9', b''_1, h', k', m', o', i'
169. Segment(G', I') → t_6
170. Midpoint(t_6) → R_2
171. OrthogonalLine(R_2, t_6) → p_7
172. Circle(R_2, 9) → q_7
173. Intersect(q_7, p_7, 2) → S_2
174. Intersect(q_7, p_7, 1) → T_2
175. Segment(T_2, S_2) → r_7
176. Line(P_1, xAxis) → b_6
177. Point(b_6) → R_1
178. Segment(P_1, R_1) → i_6
179. Segment(P_1, R_1) → j_6
180. Midpoint(i_6) → T_1
181. OrthogonalLine(T_1, b_6) → n_6
182. Circle(T_1, 8) → p_6
183. Intersect(p_6, n_6, 2) → G_2
184. Circle(G_2, r) → q_6
185. PointIn(q_6) → P_2
186. Segment(G_2, P_2) → a_7
187. Rotate(G_2, 45*°, G_2) → U_2
188. Rotate(P_2, δ, G_2) → V_2
189. Segment(U_2, V_2) → b_7
190. Line(U_2, b_7) → e_7
191. Mirror(e_7, n_6) → s_7
192. Point(n_6) → W_2
193. Line(W_2, b_6) → t_7
194. Intersect(e_7, t_7) → Z_2
195. Intersect(s_7, t_7) → A_3
196. Segment(V_2, Z_2) → a_8
197. Intersect(q_6, s_7, 2) → B_3
198. Line(B_3, e_7) → e_8
199. Line(V_2, s_7) → f_8
200. Intersect(e_8, f_8) → C_3
201. Circle(C_3, r) → g_8
202. Intersect(g_8, f_8, 2) → D_3
203. Intersect(g_8, e_8, 2) → E_3
204. Line(D_3, e_8) → h_8
205. Line(E_3, f_8) → j_8
206. Intersect(h_8, j_8) → F_3
207. Segment(D_3, C_3) → l_8
208. Segment(E_3, C_3) → n_8
209. Segment(C_3, V_2) → p_8
210. Segment(B_3, C_3) → q_8
211. Circle(F_3, r) → r_8
212. Intersect(r_8, j_8, 2) → G_3
213. Intersect(r_8, h_8, 2) → H_3
214. Segment(D_3, H_3) → k_8
215. Segment(E_3, G_3) → m_8
216. Line(H_3, b_6) → s_8
217. Circle(H_3, 2) → t_8
218. Circle(G_3, 2) → e_9
219. Intersect(n_6, s_8) → I_3
220. Circle(I_3, 5) → k_9
221. Intersect(k_9, s_8, 1) → J_3
222. Intersect(k_9, s_8, 2) → K_3
223. Circle(W_2, 7) → p_9
224. Intersect(p_9, t_7, 1) → P_3
225. Intersect(p_9, t_7, 2) → Q_3
226. Circle(W_2, 4) → q_9
227. Intersect(q_9, n_6, 1) → R_3
228. OrthogonalLine(R_3, n_6) → a_9
229. Intersect(p_9, a_9, 2) → S_3
230. Intersect(p_9, a_9, 1) → T_3
231. Segment(G_3, H_3) → b_9
232. Segment(B_3, U_2) → b_8
233. OrthogonalLine(I_1, n_5) → i_9
234. Circle(I_1, 4) → r_9
235. Intersect(r_9, i_9, 2) → U_3
236. Intersect(n_5, l_6) → V_3
237. Segment(V_3, U_3) → j_9
238. Circle(U_3, 1) → s_9
239. Intersect(s_9, i_9, 2) → W_3
240. Segment(I_1, U_3) → t_9
241. Polygon(I_1, V_3, U_3) → poly6, u_5, i_{10}, v_4
242. Segment(U_3, W_3) → a_{10}
243. Point(l_9) → C_4
244. Segment(P, Q) → m_9
245. Segment(P_5, Q_5) → m_{10}
246. Point(l_9) → F_4
247. Point(l_9) → G_4
248. Polygon(E_4, F_4, G_4, H_4) → Botonanima, e_{10}, f_{10}, g_{10}, h_{10}
249. Point(Circle[I_4, 12]) → J_4
250. Polygon(I_4, J_4, K_4, L_4) → polígono18, i_{11}, j_{10}, k_{10}, l_{10}
251. Point(Circle[I_5, 12]) → J_5
252. Polygon(I_5, J_5, K_5, L_5) → polígono18_1, i_{12}, j_{11}, k_{11}, l_{11}