Rotation and Tessellation

GeoGebra Commands & Parameters

1. Point(Circle[A, 1]) → B
2. Polygon(A, B, 3) → poly1, f, g, h, C
3. Point(Circle[D, 1]) → E
4. Rotate(E, 90°, D) → E'
5. Polygon(D, E, E') → t1, e', d, e
6. Point(Circle[M, 1]) → N
7. Rotate(N, 90°, M) → N'
8. Rotate(M, 150°, N') → M'
9. LineBisector(N, M') → i
10. Midpoint(N, M') → F
11. Circle(F, M') → c
12. Intersect(c, i, 1) → G
13. Polygon(M, N, G, M', N') → poly2, m, n, g_1, m', n'
14. Point(Circle[H, 1]) → I
15. Polygon(H, I, 4) → poly3, j, k, l, p, J, K
16. Point(Circle[L, 1]) → O
17. Polygon(L, O, 8) → poly4, q, Q, R, S, T, U, r, s, t, a, b, f_1, h_1, P
18. Point(Circle[V, 1]) → W
19. Polygon(V, W, 6) → poly5, i_1, C_1, j_1, k_1, l_1, m_1, n_1, Z, A_1, B_1
20. Point(Circle[D_1, 1]) → E_1
21. Rotate(E_1, 60°, D_1) → F_1
22. Rotate(D_1, 120°, F_1) → G_1
23. Polygon(D_1, E_1, G_1, F_1) → q1, d_1, e_1, p_1, q_1
24. Point(Circle[A_2, 1]) → B_2
25. Polygon(A_2, B_2, 3) → poly1_1, f_2, g_2, h_2, C_2
26. Point(Circle[A_3, 1]) → B_3
27. Polygon(A_3, B_3, 3) → poly1_2, f_3, g_3, h_3, C_3
28. Point(Circle[A_4, 1]) → B_4
29. Polygon(A_4, B_4, 3) → poly1_3, f_4, g_4, h_4, C_4
30. Point(Circle[A_5, 1]) → B_5
31. Polygon(A_5, B_5, 3) → poly1_4, f_5, g_5, h_5, C_5
32. Point(Circle[A_6, 1]) → B_6
33. Polygon(A_6, B_6, 3) → poly1_5, f_6, g_6, h_6, C_6
34. Point(Circle[D_2, 1]) → E_2
35. Rotate(E_2, 90°, D_2) → E'_1
36. Polygon(D_2, E_2, E'_1) → t1_1, e'_1, d_2, e_2
37. Point(Circle[D_3, 1]) → E_3
38. Rotate(E_3, 90°, D_3) → E'_2
39. Polygon(D_3, E_3, E'_2) → t1_2, e'_2, d_3, e_3
40. Point(Circle[D_4, 1]) → E_4
41. Rotate(E_4, 90°, D_4) → E'_3
42. Polygon(D_4, E_4, E'_3) → t1_3, e'_3, d_4, e_4
43. Point(Circle[D_5, 1]) → E_5
44. Rotate(E_5, 90°, D_5) → E'_4
45. Polygon(D_5, E_5, E'_4) → t1_4, e'_4, d_5, e_5
46. Point(Circle[D_6, 1]) → E_6
47. Rotate(E_6, 90°, D_6) → E'_5
48. Polygon(D_6, E_6, E'_5) → t1_5, e'_5, d_6, e_6
49. Point(Circle[H_1, 1]) → I_1
50. Polygon(H_1, I_1, 4) → poly3_1, j_2, k_2, l_2, p_2, J_1, K_1
51. Point(Circle[H_2, 1]) → I_2
52. Polygon(H_2, I_2, 4) → poly3_2, j_3, k_3, l_3, p_3, J_2, K_2
53. Point(Circle[H_3, 1]) → I_3
54. Polygon(H_3, I_3, 4) → poly3_3, j_4, k_4, l_4, p_4, J_3, K_3
55. Point(Circle[H_4, 1]) → I_4
56. Polygon(H_4, I_4, 4) → poly3_4, j_5, k_5, l_5, p_5, J_4, K_4
57. Point(Circle[H_5, 1]) → I_5
58. Polygon(H_5, I_5, 4) → poly3_5, j_6, k_6, l_6, p_6, J_5, K_5
59. Point(Circle[M_1, 1]) → N_1
60. Rotate(N_1, 90°, M_1) → N'_1
61. Rotate(M_1, 150°, N'_1) → M'_1
62. LineBisector(N_1, M'_1) → i_2
63. Midpoint(N_1, M'_1) → F_2
64. Circle(F_2, M'_1) → c_1
65. Intersect(c_1, i_2, 1) → G_2
66. Polygon(M_1, N_1, G_2, M'_1, N'_1) → poly2_1, m_2, n_2, g_7, m'_1, n'_1
67. Point(Circle[M_2, 1]) → N_2
68. Rotate(N_2, 90°, M_2) → N'_2
69. Rotate(M_2, 150°, N'_2) → M'_2
70. LineBisector(N_2, M'_2) → i_3
71. Midpoint(N_2, M'_2) → F_3
72. Circle(F_3, M'_2) → c_2
73. Intersect(c_2, i_3, 1) → G_3
74. Polygon(M_2, N_2, G_3, M'_2, N'_2) → poly2_2, m_3, n_3, g_8, m'_2, n'_2
75. Point(Circle[M_3, 1]) → N_3
76. Rotate(N_3, 90°, M_3) → N'_3
77. Rotate(M_3, 150°, N'_3) → M'_3
78. LineBisector(N_3, M'_3) → i_4
79. Midpoint(N_3, M'_3) → F_4
80. Circle(F_4, M'_3) → c_3
81. Intersect(c_3, i_4, 1) → G_4
82. Polygon(M_3, N_3, G_4, M'_3, N'_3) → poly2_3, m_4, n_4, g_9, m'_3, n'_3
83. Point(Circle[M_4, 1]) → N_4
84. Rotate(N_4, 90°, M_4) → N'_4
85. Rotate(M_4, 150°, N'_4) → M'_4
86. LineBisector(N_4, M'_4) → i_5
87. Midpoint(N_4, M'_4) → F_5
88. Circle(F_5, M'_4) → c_4
89. Intersect(c_4, i_5, 1) → G_5
90. Polygon(M_4, N_4, G_5, M'_4, N'_4) → poly2_4, m_5, n_5, g_{10}, m'_4, n'_4
91. Point(Circle[M_5, 1]) → N_5
92. Rotate(N_5, 90°, M_5) → N'_5
93. Rotate(M_5, 150°, N'_5) → M'_5
94. LineBisector(N_5, M'_5) → i_6
95. Midpoint(N_5, M'_5) → F_6
96. Circle(F_6, M'_5) → c_5
97. Intersect(c_5, i_6, 1) → G_6
98. Polygon(M_5, N_5, G_6, M'_5, N'_5) → poly2_5, m_6, n_6, g_{11}, m'_5, n'_5
99. Point(Circle[M_6, 1]) → N_6
100. Rotate(N_6, 90°, M_6) → N'_6
101. Rotate(M_6, 150°, N'_6) → M'_6
102. LineBisector(N_6, M'_6) → i_7
103. Midpoint(N_6, M'_6) → F_7
104. Circle(F_7, M'_6) → c_6
105. Intersect(c_6, i_7, 1) → G_7
106. Polygon(M_6, N_6, G_7, M'_6, N'_6) → poly2_6, m_7, n_7, g_{12}, m'_6, n'_6
107. Point(Circle[D_7, 1]) → E_7
108. Rotate(E_7, 60°, D_7) → F_8
109. Rotate(D_7, 120°, F_8) → G_8
110. Polygon(D_7, E_7, G_8, F_8) → q1_1, d_7, e_7, p_7, q_2
111. Point(Circle[D_8, 1]) → E_8
112. Rotate(E_8, 60°, D_8) → F_9
113. Rotate(D_8, 120°, F_9) → G_9
114. Polygon(D_8, E_8, G_9, F_9) → q1_2, d_8, e_8, p_8, q_3
115. Point(Circle[D_9, 1]) → E_9
116. Rotate(E_9, 60°, D_9) → F_{10}
117. Rotate(D_9, 120°, F_{10}) → G_{10}
118. Polygon(D_9, E_9, G_{10}, F_{10}) → q1_3, d_9, e_9, p_9, q_4
119. Point(Circle[D_{10}, 1]) → E_{10}
120. Rotate(E_{10}, 60°, D_{10}) → F_{11}
121. Rotate(D_{10}, 120°, F_{11}) → G_{11}
122. Polygon(D_{10}, E_{10}, G_{11}, F_{11}) → q1_4, d_{10}, e_{10}, p_{10}, q_5
123. Point(Circle[D_{11}, 1]) → E_{11}
124. Rotate(E_{11}, 60°, D_{11}) → F_{12}
125. Rotate(D_{11}, 120°, F_{12}) → G_{12}
126. Polygon(D_{11}, E_{11}, G_{12}, F_{12}) → q1_5, d_{11}, e_{11}, p_{11}, q_6
127. Point(Circle[V_1, 1]) → W_1
128. Polygon(V_1, W_1, 6) → poly5_1, i_8, C_7, j_7, k_7, l_7, m_8, n_8, Z_1, A_7, B_7
129. Point(Circle[V_2, 1]) → W_2
130. Polygon(V_2, W_2, 6) → poly5_2, i_9, C_8, j_8, k_8, l_8, m_9, n_9, Z_2, A_8, B_8
131. Point(Circle[V_3, 1]) → W_3
132. Polygon(V_3, W_3, 6) → poly5_3, i_{10}, C_9, j_9, k_9, l_9, m_{10}, n_{10}, Z_3, A_9, B_9
133. Point(Circle[V_4, 1]) → W_4
134. Polygon(V_4, W_4, 6) → poly5_4, i_{11}, C_{10}, j_{10}, k_{10}, l_{10}, m_{11}, n_{11}, Z_4, A_{10}, B_{10}
135. Point(Circle[V_5, 1]) → W_5
136. Polygon(V_5, W_5, 6) → poly5_5, i_{12}, C_{11}, j_{11}, k_{11}, l_{11}, m_{12}, n_{12}, Z_5, A_{11}, B_{11}
137. Point(Circle[L_1, 1]) → O_1
138. Polygon(L_1, O_1, 8) → poly4_1, q_7, Q_1, R_1, S_1, T_1, U_1, r_1, s_1, t_1, a_1, b_1, f_7, h_7, P_1
139. Point(Circle[L_2, 1]) → O_2
140. Polygon(L_2, O_2, 8) → poly4_2, q_8, Q_2, R_2, S_2, T_2, U_2, r_2, s_2, t_2, a_2, b_2, f_8, h_8, P_2
141. Point(Circle[L_3, 1]) → O_3
142. Polygon(L_3, O_3, 8) → poly4_3, q_9, Q_3, R_3, S_3, T_3, U_3, r_3, s_3, t_3, a_3, b_3, f_9, h_9, P_3
143. Point(Circle[L_4, 1]) → O_4
144. Polygon(L_4, O_4, 8) → poly4_4, q_{10}, Q_4, R_4, S_4, T_4, U_4, r_4, s_4, t_4, a_4, b_4, f_{10}, h_{10}, P_4
145. Point(Circle[L_5, 1]) → O_5
146. Polygon(L_5, O_5, 8) → poly4_5, q_{11}, Q_5, R_5, S_5, T_5, U_5, r_5, s_5, t_5, a_5, b_5, f_{11}, h_{11}, P_5