Geometric Construction Example: 8/2

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. ConstructionStep() → stap
3. Circle(A, B) → c
4. Intersect(c, xAxis, 1) → D
5. Line(D, B) → j_2
6. Intersect(c, yAxis, 2) → C
7. Intersect(c, f, 2) → E
8. Mirror(E, yAxis) → E'
9. Polygon(E, E', 4) → veelhoek1, g, h, i, j, F, G
10. Polygon(B, C, 4) → veelhoek2, k, l, m, n, H, I
11. Intersect(g, l) → J
12. Intersect(i, m) → K
13. Intersect(g, k) → L
14. Intersect(i, n) → M
15. Intersect(j, n) → N
16. Intersect(j, k) → O
17. Intersect(h, l) → P
18. Intersect(h, m) → Q
19. Segment(J, N) → p
20. Segment(Q, L) → q
21. Segment(P, O) → r
22. Segment(J, K) → s
23. Segment(L, M) → t
24. Segment(Q, N) → a
25. Segment(P, M) → b
26. Segment(K, O) → d
27. Intersect(r, s) → R
28. Intersect(q, r) → S
29. Intersect(p, q) → T
30. Polygon(J, R, S, T) → vierhoek1, j_1, r_1, s_1, t_1
31. Sequence(Polygon[Rotate[J, (nn * (-(45°)))], Rotate[R, (nn * (-(45°)))], Rotate[S, (nn * (-(45°)))], Rotate[T, (nn * (-(45°)))]], nn, -1, 2) → l1
32. Polygon(P, R, 4) → veelhoek3, e, f_1, g_1, h_1, U, V
33. Polygon(E, L, 4) → veelhoek4, i_1, k_1, l_1, m_1, W, Z
34. Polygon(L, C, 4) → veelhoek5, n_1, p_1, q_1, a_1, A_1, B_1
35. Polygon(B, O, 4) → veelhoek6, b_1, c_1, d_1, e_1, C_1, D_1
36. Polygon(P, D, 4) → veelhoek7, f_2, g_2, h_2, i_2, E_1, F_1
37. Line(E, B) → k_2
38. Mirror(O, k_2) → O'
39. Line(D, E') → l_2
40. Mirror(P, l_2) → P'
41. Line(E', C) → m_2
42. Mirror(J, m_2) → J'
43. Mirror(J', yAxis) → J''
44. Polygon(D, P, E', P') → vierhoek2, d_2, p_2, e', p'
45. Polygon(E', J, C, J') → vierhoek3, n_2, j_3, c_2, j'
46. Polygon(C, L, E, J'') → vierhoek4, c_3, l_3, e_2, j''
47. Polygon(E, O, B, O') → vierhoek5, e_3, o, b_2, o'
48. Polygon(O', B, 4) → veelhoek9, a_2, f_3, g_3, h_3, I_1, J_1
49. Polygon(D, P', 4) → veelhoek8, q_2, r_2, s_2, t_2, G_1, H_1
50. Polygon(J', C, 4) → veelhoek10, i_3, k_3, m_3, n_3, K_1, L_1
51. Polygon(C, J'', 4) → veelhoek11, p_3, q_3, r_3, s_3, M_1, N_1
52. Polygon(J'', E, 4) → veelhoek12, t_3, a_3, b_3, d_3, O_1, P_1
53. Polygon(E, O', 4) → veelhoek13, f_4, g_4, h_4, i_4, Q_1, R_1
54. Polygon(P', E', 4) → veelhoek14, j_4, k_4, l_4, m_4, S_1, T_1
55. Polygon(E', J', 4) → veelhoek15, n_4, p_4, q_4, r_4, U_1, V_1
56. Line(U_1, L_1) → s_4
57. Mirror(J', s_4) → J''_1
58. Polygon(J', L_1, J''_1, U_1) → vierhoek6, t_4, a_4, j''_1, u_1
59. Mirror(J''_1, yAxis) → W_1
60. Polygon(J'', P_1, W_1, M_1) → vierhoek7, b_4, c_4, w_1, d_4
61. Line(Q_1, J_1) → e_4
62. Mirror(O', e_4) → O''
63. Polygon(O', J_1, O'', Q_1) → vierhoek8, f_5, g_5, o'', h_5
64. Mirror(O'', yAxis) → O'''
65. Polygon(P', T_1, O''', G_1) → vierhoek9, i_5, j_5, o''', k_5
66. Line(J''_1, K_1) → l_5
67. Mirror(L_1, l_5) → Z_1
68. Polygon(K_1, Z_1, J''_1, L_1) → vierhoek10, m_5, z_1, n_5, p_5
69. Mirror(Z_1, yAxis) → A_2
70. Polygon(K_1, M_1, W_1, A_2) → vierhoek11, q_5, r_5, s_5, t_5
71. Line(S_1, J''_1) → a_5
72. Mirror(U_1, a_5) → B_2
73. Polygon(S_1, U_1, J''_1, B_2) → vierhoek12, b_5, c_5, d_5, e_5
74. Mirror(B_2, yAxis) → C_2
75. Polygon(O_1, C_2, W_1, P_1) → vierhoek13, o_1, f_6, g_6, h_6
76. Line(T_1, B_2) → i_6
77. Line(H_1, O''') → s_6
78. Mirror(G_1, s_6) → F_2
79. Polygon(H_1, G_1, O''', F_2) → vierhoek16, t_6, a_6, b_6, c_6
80. Mirror(F_2, yAxis) → G_2
81. Polygon(I_1, G_2, O'', J_1) → vierhoek17, d_6, e_6, f_7, g_7
82. Line(O''', S_1) → j_6
83. Mirror(T_1, j_6) → D_2
84. Polygon(O''', T_1, S_1, D_2) → vierhoek14, k_6, l_6, m_6, n_6
85. Mirror(P', O''') → P''
86. Mirror(S_1, O''') → E_2
87. Mirror(D_2, O''') → H_2
88. Mirror(T_1, O''') → I_2
89. Mirror(F_2, O''') → J_2
90. Mirror(G_1, O''') → K_2
91. Mirror(H_1, O''') → L_2
92. Mirror(H_1, j_5) → M_2
93. Polygon(O''', D_2, M_2, J_2) → vierhoek15, p_6, q_6, r_6, h_7
94. Polygon(O''', J_2, L_2, K_2) → vierhoek18, i_7, j_7, k_7, l_7
95. Polygon(O''', K_2, P'', I_2) → vierhoek19, m_7, n_7, p'', p_7
96. Polygon(O''', I_2, E_2, H_2) → vierhoek20, q_7, r_7, s_7, t_7
97. Mirror(M_2, O''') → N_2
98. Polygon(O''', H_2, N_2, F_2) → vierhoek21, a_7, b_7, c_7, d_7
99. Mirror(D_2, yAxis) → O_2
100. Polygon(O'', O_2, O_1, Q_1) → vierhoek22, e_7, o_2, f_8, g_8
101. Mirror(M_2, yAxis) → P_2
102. Mirror(J_2, yAxis) → Q_2
103. Polygon(O'', Q_2, P_2, O_2) → vierhoek23, h_8, i_8, j_8, k_8
104. Mirror(P'', yAxis) → P'''
105. Mirror(K_2, yAxis) → R_2
106. Mirror(L_2, yAxis) → S_2
107. Polygon(O'', R_2, S_2, Q_2) → vierhoek24, l_8, m_8, n_8, p_8
108. Mirror(I_2, yAxis) → T_2
109. Polygon(O'', T_2, P''', R_2) → vierhoek25, q_8, r_8, p''', s_8
110. Mirror(E_2, yAxis) → U_2
111. Mirror(H_2, yAxis) → V_2
112. Polygon(O'', V_2, U_2, T_2) → vierhoek26, t_8, v_2, u_2, a_8
113. Mirror(N_2, yAxis) → W_2
114. Polygon(O'', G_2, W_2, V_2) → vierhoek27, b_8, c_8, w_2, d_8
115. Polygon(N_2, H_2, 4) → veelhoek16, e_8, f_9, g_9, h_9, Z_2, A_3
116. Polygon(D_2, S_1, 4) → veelhoek17, i_9, j_9, k_9, l_9, B_3, C_3
117. Polygon(O_1, O_2, 4) → veelhoek18, m_9, n_9, p_9, q_9, D_3, E_3
118. Polygon(V_2, W_2, 4) → veelhoek19, r_9, s_9, t_9, a_9, F_3, G_3
119. Polygon(E_2, I_2, 4) → veelhoek20, b_9, c_9, d_9, e_9, H_3, I_3
120. Polygon(P'', K_2, 4) → veelhoek21, f_{10}, g_{10}, h_{10}, i_{10}, J_3, K_3
121. Polygon(J_2, M_2, 4) → veelhoek22, j_{10}, k_{10}, l_{10}, m_{10}, L_3, M_3
122. Polygon(Q_2, S_2, 4) → veelhoek23, n_{10}, p_{10}, q_{10}, r_{10}, N_3, O_3
123. Polygon(R_2, P''', 4) → veelhoek24, s_{10}, t_{10}, a_{10}, b_{10}, P_3, Q_3
124. Polygon(T_2, U_2, 4) → veelhoek25, c_{10}, d_{10}, e_{10}, f_{11}, R_3, S_3
125. Polygon(K_1, A_2, 4) → veelhoek26, g_{11}, h_{11}, i_{11}, j_{11}, T_3, U_3
126. Mirror(B_2, J''_1) → V_3
127. Polygon(J''_1, Z_1, T_3, V_3) → vierhoek28, k_{11}, l_{11}, m_{11}, v_3
128. Mirror(Z_1, J''_1) → W_3
129. Polygon(J''_1, W_3, M_2, B_2) → vierhoek29, n_{11}, w_3, p_{11}, q_{11}
130. Mirror(L_1, J''_1) → Z_3
131. Mirror(U_1, J''_1) → A_4
132. Mirror(S_1, J''_1) → B_4
133. Polygon(J''_1, V_3, B_4, A_4) → vierhoek30, r_{11}, s_{11}, t_{11}, a_{11}
134. Mirror(J', J''_1) → J''_2
135. Polygon(J''_1, A_4, J''_2, Z_3) → vierhoek31, b_{11}, c_{11}, j''_2, z_3
136. Mirror(K_1, J''_1) → C_4
137. Polygon(J''_1, Z_3, C_4, W_3) → vierhoek32, d_{11}, e_{11}, f_{12}, g_{12}
138. Mirror(B_4, yAxis) → D_4
139. Mirror(J''_2, yAxis) → E_4
140. Mirror(A_4, yAxis) → F_4
141. Mirror(V_3, yAxis) → G_4
142. Polygon(W_1, G_4, T_3, A_2) → vierhoek33, h_{12}, i_{12}, j_{12}, k_{12}
143. Mirror(C_4, yAxis) → H_4
144. Mirror(W_3, yAxis) → I_4
145. Polygon(W_1, C_2, P_2, I_4) → vierhoek34, l_{12}, m_{12}, n_{12}, p_{12}
146. Polygon(W_1, F_4, D_4, G_4) → vierhoek35, q_{12}, r_{12}, s_{12}, t_{12}
147. Mirror(Z_3, yAxis) → J_4
148. Polygon(W_1, J_4, E_4, F_4) → vierhoek36, a_{12}, b_{12}, c_{12}, d_{12}
149. Polygon(I_4, H_4, J_4, W_1) → vierhoek37, e_{12}, f_{13}, g_{13}, h_{13}
150. Midpoint(B_4, D_4) → K_4
151. Polygon(V_3, T_3, K_4, B_4) → vierhoek38, i_{13}, j_{13}, k_{13}, l_{13}
152. Segment(C_4, L_3) → m_{13}
153. Segment(H_4, N_3) → n_{13}
154. Segment(K_4, D_4) → p_{13}
155. Polygon(C_4, Z_3, 4) → veelhoek27, q_{13}, r_{13}, s_{13}, t_{13}, L_4, M_4
156. Polygon(J_4, H_4, 4) → veelhoek28, a_{13}, b_{13}, c_{13}, d_{13}, N_4, O_4
157. Polygon(J''_2, A_4, 4) → veelhoek29, e_{13}, f_{14}, g_{14}, h_{14}, P_4, Q_4
158. Polygon(D_4, F_4, 4) → veelhoek30, i_{14}, j_{14}, k_{14}, l_{14}, R_4, S_4