Clustered Circles with Single Intersection Points

GeoGebra Commands & Parameters

1. Circle(A, 2.613126) → c
2. Rotate(B, 45°, A) → B'
3. Rotate(B', 45°, A) → B''
4. Rotate(B'', 45°, A) → B'''
5. Rotate(B''', 45°, A) → C
6. Rotate(C, 45°, A) → C'
7. Rotate(C', 45°, A) → C''
8. Rotate(C'', 45°, A) → C'''
9. Circle(B', 1) → d
10. Circle(B'', 1) → e
11. Circle(B''', 1) → f
12. Circle(C, 1) → g
13. Circle(C', 1) → h
14. Circle(C'', 1) → k
15. Circle(C''', 1) → p
16. Circle(B, 1) → q
17. Circle(A, 1.613126) → r
18. Segment(B, B') → i
19. Segment(B', B'') → j
20. Segment(B'', B''') → l
21. Segment(B''', C) → m
22. Segment(C, C') → n
23. Segment(C', C'') → s
24. Segment(C'', C''') → t
25. Segment(C''', B) → a
26. Segment(A, B') → b
27. Segment(A, B) → f_1
28. Segment(A, B'') → g_1
29. Segment(A, B''') → h_1
30. Segment(A, C) → i_1
31. Segment(A, C') → j_1
32. Segment(A, C'') → k_1
33. Segment(C''', A) → l_1
34. Angle(B, A, B') → α
35. Midpoint(i) → D
36. Segment(A, E) → m_1
37. Dilate(A, 1.717438935, A) → A'
38. Dilate(E, 1.717438935, A) → E'
39. Segment(A', E') → n_1
40. Circle(E', 1) → c_1
41. Intersect(c_1, d) → F, G, ,
42. Rotate(c_1, 45°, A) → d_1
43. Rotate(d_1, 45°, A) → e_1
44. Rotate(e_1, 45°, A) → p_1
45. Rotate(p_1, 45°, A) → q_1
46. Rotate(q_1, 45°, A) → r_1
47. Rotate(r_1, 45°, A) → s_1
48. Rotate(s_1, 45°, A) → t_1
49. Segment(B, B'') → a_1
50. Midpoint(a_1) → H
51. Distance(H, B) → afstandHB
52. Segment(H, B) → b_1
53. Rotate(H, 90°, H) → H'
54. Rotate(B, 90°, H) → B'_1
55. Segment(H', B'_1) → f_2
56. Dilate(H', 1.732, H) → H''
57. Dilate(B'_1, 1.732, H) → I
58. Segment(H'', I) → g_2
59. Circle(I, 1) → c_2
60. Rotate(c_2, 45°, A) → d_2
61. Rotate(d_2, 45°, A) → e_2
62. Rotate(e_2, 45°, A) → h_2
63. Rotate(h_2, 45°, A) → k_2
64. Rotate(k_2, 45°, A) → p_2
65. Rotate(p_2, 45°, A) → q_2
66. Rotate(q_2, 45°, A) → r_2
67. Intersect(c_2, c_1) → N, O, ,
68. Circle(A, K) → s_2
69. Circle(A, 4.132155682847749) → t_2
70. Circle(A, L) → c_3
71. Circle(P, M) → d_3
72. Intersect(d_3, c_1) → Q, R, ,
73. Intersect(d_1, d_3) → S, T, ,
74. Rotate(d_3, 45°, A) → e_3
75. Rotate(e_3, 45°, A) → f_3
76. Rotate(f_3, 45°, A) → g_3
77. Rotate(g_3, 45°, A) → h_3
78. Rotate(h_3, 45°, A) → k_3
79. Rotate(k_3, 45°, A) → p_3
80. Rotate(p_3, 45°, A) → q_3
81. Intersect(e_3, d_1) → U, V, ,
82. Intersect(e_1, c_3, 1) → W
83. Intersect(e_3, e_1) → Z, A_1, ,
84. Intersect(f_3, e_1) → B_1, C_1, ,
85. Intersect(f_3, p_1) → D_1, E_1, ,
86. Intersect(d_1, d) → F_1, G_1, ,
87. Intersect(e, d_1) → H_1, I_1, ,
88. Intersect(e_1, e) → J_1, K_1, ,
89. Intersect(e_1, f) → L_1, M_1, ,
90. Intersect(f, p_1) → N_1, O_1, ,
91. Intersect(p_1, g_3) → P_1, Q_1, ,
92. Intersect(g_3, q_1) → R_1, S_1, ,
93. Intersect(g, f) → T_1, , ,
94. Intersect(g, p_1) → U_1, V_1, ,
95. Intersect(q_1, h) → W_1, Z_1, ,
96. Intersect(q_1, h_3) → A_2, B_2, ,
97. Intersect(h_3, r_1) → C_2, D_2, ,
98. Intersect(h, r_1) → E_2, F_2, ,
99. Intersect(k_3, r_1) → G_2, H_2, ,
100. Intersect(s_1, k_3) → I_2, J_2, ,
101. Intersect(p_3, s_1) → K_2, L_2, ,
102. Intersect(p_3, t_1) → M_2, N_2, ,
103. Intersect(q_3, c_1) → O_2, P_2, ,
104. Intersect(q_3, t_1) → Q_2, R_2, ,
105. Intersect(p, t_1) → S_2, T_2, ,
106. Intersect(s_1, p) → U_2, V_2, ,
107. Intersect(k, s_1) → W_2, Z_2, ,
108. Intersect(e_3, s_2) → A_3, B_3, ,
109. Intersect(f_3, s_2) → C_3, D_3, ,
110. Intersect(d_3, s_2) → E_3, F_3, ,
111. Intersect(g_3, s_2) → G_3, H_3, ,
112. Intersect(h_3, s_2) → I_3, J_3, ,
113. Intersect(k_3, s_2) → K_3, L_3, ,
114. Intersect(p_3, s_2) → M_3, N_3, ,
115. Intersect(q_3, s_2) → O_3, P_3, ,
116. Line(C', B') → i_2
117. Line(C''', B''') → j_2
118. Line(B, C) → l_2
119. Line(B'', C'') → m_2
120. Intersect(k, r_1) → Q_3, R_3, ,
121. Intersect(g, q_1) → S_3, T_3, ,
122. Intersect(q, c_1) → U_3, V_3, ,
123. Intersect(t_1, q) → W_3, Z_3, ,
124. Circle(A_4, 1) → r_3
125. Circle(P, 2.0144333173267204) → s_3
126. Intersect(d, r_3) → B_4, C_4, ,
127. Intersect(r, j_2) → D_4, E_4
128. Intersect(r, i_2) → F_4, G_4
129. Intersect(r, l_2) → H_4, I_4
130. Intersect(r, m_2) → J_4, K_4
131. Circle(A, 0.5) → t_3
132. Circle(L_4, 1.8849655) → c_4
133. Intersect(c_4, q_3) → M_4, H_5, ,
134. Intersect(c_4, d_3) → N_4, I_5, ,
135. Intersect(c_4, c_3) → O_4, , ,
136. Rotate(c_4, 45°, A) → d_4
137. Rotate(d_4, 45°, A) → e_4
138. Rotate(e_4, 45°, A) → f_4
139. Rotate(f_4, 45°, A) → g_4
140. Rotate(g_4, 45°, A) → h_4
141. Rotate(h_4, 45°, A) → k_4
142. Rotate(k_4, 45°, A) → p_4
143. Intersect(d_4, d_3) → P_4, J_5, ,
144. Intersect(d_4, e_3) → Q_4, K_5, ,
145. Intersect(e_4, e_3) → R_4, L_5, ,
146. Intersect(e_4, f_3) → S_4, M_5, ,
147. Intersect(e_4, c_3) → T_4, , ,
148. Intersect(c_3, d_4) → U_4, , ,
149. Intersect(f_4, f_3) → V_4, N_5, ,
150. Intersect(f_4, g_3) → W_4, O_5, ,
151. Intersect(g_4, g_3) → Z_4, P_5, ,
152. Intersect(g_4, h_3) → A_5, Q_5, ,
153. Intersect(h_4, h_3) → B_5, R_5, ,
154. Intersect(k_3, h_4) → C_5, S_5, ,
155. Intersect(k_4, k_3) → D_5, T_5, ,
156. Intersect(p_4, p_3) → E_5, U_5, ,
157. Intersect(k_4, p_3) → F_5, V_5, ,
158. Intersect(p_4, q_3) → G_5, W_5, ,
159. Intersect(f_4, c_3) → Z_5, , ,
160. Intersect(g_4, c_3) → A_6, , ,
161. Intersect(h_4, c_3) → B_6, , ,
162. Intersect(k_4, c_3) → C_6, , ,
163. Intersect(p_4, c_3) → D_6, , ,
164. Intersect(d, e) → E_6, , ,
165. Intersect(e, f) → F_6, , ,
166. Intersect(q, p) → G_6, , ,
167. Intersect(k, h) → H_6, , ,
168. Intersect(q, d) → I_6, , ,
169. Intersect(k, p) → J_6, , ,
170. Intersect(g, h) → K_6, , ,
171. Rotate(f, 45°, B''') → f'
172. Intersect(f, f', 1) → L_6
173. Rotate(f', 45°, A) → f''
174. Intersect(f, f', 1) → M_6
175. Intersect(f, f', 1) → N_6
176. Intersect(f, f', 1) → O_6
177. Intersect(f'', f) → P_6, , ,
178. Circle(S, U, Z) → q_4
179. Circle(N_1, J_1, F_1) → r_4
180. Circle(P_6, E_6, I_6) → s_4
181. Circle(S_4, R_4, Q_4) → t_4