Complex Number Line in Four Dimensions

GeoGebra Commands & Parameters

1. OrthogonalLine(A, yAxis) → a
2. OrthogonalLine(B, yAxis) → b
3. OrthogonalLine(C, xAxis) → c
4. OrthogonalLine(D, xAxis) → d
5. Intersect(b, c) → E
6. Intersect(b, d) → F
7. Intersect(a, d) → G
8. Intersect(a, c) → H
9. Polygon(E, F, G, H) → poly1, e, f, g, h
10. Vector(I, J) → u
11. Translate(E, u) → E'
12. Translate(F, u) → F'
13. Translate(G, u) → G'
14. Translate(H, u) → H'
15. Polygon(E', F', G', H') → poly1', e', f', g', h'
16. Intersect(e', f') → K
17. Intersect(e, f) → L
18. Intersect(e, h) → M
19. Intersect(e', h') → N
20. Polygon(K, L, M, N) → poly2, k, l, m, n
21. Intersect(f', g') → O
22. Intersect(f, g) → P
23. Intersect(g, h) → Q
24. Intersect(g', h') → R
25. Polygon(O, P, Q, R) → poly3, o, p, q, r
26. Intersect(e, h) → S
27. Intersect(e', h') → T
28. Intersect(g', h') → U
29. Intersect(g, h) → V
30. Polygon(S, T, U, V) → poly4, s, t, u_1, v
31. Intersect(e, f) → W
32. Intersect(e', f') → Z
33. Intersect(f', g') → A_1
34. Intersect(f, g) → B_1
35. Polygon(W, Z, A_1, B_1) → poly5, w, z_1, a_1, b_1
36. Intersect(e, h) → C_1
37. Intersect(f', g') → D_1
38. Vector(C_1, D_1) → i
39. Point(h) → K_1
40. Point(f) → L_1
41. Point(h') → N_1
42. Polygon(K_1, L_1, M_1, N_1) → poly6, k_1, l_1, m_1, n_1
43. Point(h) → O_1
44. Point(f) → P_1
45. Point(h') → R_1
46. Polygon(O_1, P_1, Q_1, R_1) → poly7, o_1, p_1, q_1, r_1
47. Point(h) → S_1
48. Point(f) → T_1
49. Point(f') → U_1
50. Point(h') → V_1
51. Polygon(S_1, T_1, U_1, V_1) → poly8, s_1, t_1, u_2, v_1
52. Intersect(g', h') → W_1
53. Point(g) → Z_1
54. Segment(W_1, Z_1) → j
55. Point(o) → A_2
56. Segment(Z_1, A_2) → c_1
57. Segment(W_1, A_2) → d_1
58. Segment(Z_1, B_2) → e_1
59. Point(g) → C_2
60. Intersect(t_1, d_1) → D_2
61. Segment(C_2, D_2) → f_1
62. Point(f) → L_2
63. Segment(K_2, L_2) → g_1
64. Vector(M_2, N_2) → w_1
65. Translate(Z_1, w_1) → O_2
66. Translate(A_2, w_1) → P_2
67. Segment(O_2, P_2) → h_1
68. Vector(Q_2, R_2) → i_1
69. Translate(W_1, i_1) → S_2
70. Translate(Z_1, i_1) → T_2
71. Segment(S_2, T_2) → j'
72. Vector(U_2, V_2) → j_1
73. Translate(Z_1, j_1) → W_2
74. Translate(B_2, j_1) → Z_2
75. Segment(W_2, Z_2) → a_2
76. Vector(A_3, B_3) → v_2
77. Translate(C_2, v_2) → C_3
78. Translate(D_2, v_2) → D_3
79. Segment(C_3, D_3) → b_2
80. Vector(E_3, F_3) → w_2
81. Translate(K_2, w_2) → G_3
82. Translate(L_2, w_2) → H_3
83. Segment(G_3, H_3) → c_2
84. Point(e) → I_3
85. Point(o) → J_3
86. Segment(I_3, J_3) → d_2
87. Point(e) → K_3
88. Intersect(t_1, f_1) → L_3
89. Segment(K_3, L_3) → e_2
90. Point(e) → M_3
91. Point(f) → N_3
92. Segment(M_3, N_3) → f_2
93. Point(e) → O_3
94. Point(e_1) → P_3
95. Segment(O_3, P_3) → g_2
96. Point(e) → Q_3
97. Intersect(g', h') → R_3
98. Segment(Q_3, R_3) → h_2
99. Intersect(e, h) → S_3
100. Segment(S_3, T_3) → i_2
101. Intersect(g, h) → U_3
102. Segment(U_3, V_3) → j_2
103. Intersect(e', f') → W_3
104. Segment(W_3, Z_3) → k_2
105. Intersect(e', h') → A_4
106. Segment(A_4, B_4) → l_2
107. Intersect(e', h') → C_4
108. Point(i_2) → E_4
109. Point(j_2) → F_4
110. Segment(E_4, F_4) → n_2
111. Intersect(f', g') → G_4
112. Segment(G_4, H_4) → p_2
113. Point(f') → I_4
114. Segment(I_4, J_4) → q_2
115. Point(f') → K_4
116. Segment(K_4, L_4) → r_2
117. Intersect(e', f') → M_4
118. Segment(M_4, N_4) → s_2
119. Point(f') → O_4
120. Segment(O_4, P_4) → t_2
121. Point(i_2) → Q_4
122. Vector(Q_4, R_4) → u_3
123. Intersect(e, h) → S_4
124. Vector(S_4, T_4) → v_3
125. Point(h') → U_4
126. Segment(U_4, V_4) → a_3
127. Intersect(e', h') → W_4
128. Segment(W_4, Z_4) → b_3
129. Point(a_3) → A_5
130. Point(b_3) → B_5
131. Segment(A_5, B_5) → c_3
132. Point(h') → C_5
133. Segment(C_5, D_5) → d_3
134. Point(q) → E_5
135. Segment(E_5, F_5) → e_3
136. Intersect(a_3, c_3) → G_5
137. Point(e_3) → H_5
138. Segment(G_5, H_5) → f_3
139. Intersect(c_1, d_1) → K_5
140. Intersect(e', h') → L_5
141. Segment(K_5, L_5) → h_3
142. Intersect(t_1, d_1) → M_5
143. Point(b_2) → N_5
144. Segment(M_5, N_5) → i_3
145. Point(f) → O_5
146. Point(e') → P_5
147. Segment(O_5, P_5) → j_3
148. Intersect(e_1, g_2) → Q_5
149. Point(a_2) → R_5
150. Segment(Q_5, R_5) → k_3
151. Point(g) → S_5
152. Segment(L_5, S_5) → l_3
153. Point(b_2) → T_5
154. Circle(T_5, U_5) → p_3
155. Vector(V_5, W_5) → w_3
156. Translate(p_3, w_3) → q_3
157. Point(e) → Z_5
158. Segment(U_5, Z_5) → m_3
159. Intersect(p_3, m_1, 1) → A_6
160. Segment(A_6, Z_5) → n_3
161. Point(p_3) → B_6
162. Segment(B_6, Z_5) → r_3
163. Point(p_3) → C_6
164. Segment(C_6, Z_5) → s_3
165. Segment(C_6, Z_5) → t_3
166. Angle(p_1, t_2) → α
167. Point(l_2) → D_6
168. Segment(D_6, E_6) → a_4
169. Point(b_3) → F_6
170. Segment(E_6, F_6) → b_4
171. Segment(G_6, H_6) → c_4
172. Segment(K_6, L_6) → d_4
173. Segment(K_6, M_6) → e_4
174. Segment(K_6, N_6) → f_4
175. Point(d_4) → O_6
176. Point(e_4) → P_6
177. Segment(O_6, P_6) → h_4
178. Point(f_4) → Q_6
179. Segment(P_6, Q_6) → i_4
180. Segment(Q_6, O_6) → j_4
181. Segment(R_7, T_7) → g_4
182. Intersect(e', h') → U_6
183. Vector(U_6, V_6) → u_4
184. Segment(W_6, Z_6) → m_2
185. Segment(A_7, B_7) → g_3
186. Point(b_3) → C_7
187. Segment(C_7, D_7) → k_4
188. Segment(E_7, F_7) → l_4
189. Segment(G_7, H_7) → m_4
190. Point(k_4) → I_7
191. Vector(I_7, J_7) → v_4
192. Point(v_4) → K_7
193. Segment(K_7, L_7) → n_4
194. Segment(I_7, M_7) → p_4
195. Point(f') → N_7
196. Segment(N_7, O_7) → q_4
197. Intersect(e', f') → P_7
198. Segment(P_7, Q_7) → r_4