Tiling the Plane

GeoGebra Commands & Parameters

1. Circle(A_1, 1) → c_1
2. Circle(A_2, 1) → c_2
3. Circle(A_3, 1) → c_3
4. Circle(A_4, 1) → c_4
5. Circle(A_5, 1) → c_5
6. Circle(A_6, 1) → c_6
7. Circle(A_7, 1) → c_7
8. Circle(A_8, 1) → c_8
9. Circle(A_9, 1) → c_9
10. Circle(A_{10}, 1) → c_{10}
11. Circle(A_{11}, 1) → c_{11}
12. Circle(A_{12}, 1) → c_{12}
13. Circle(A_{13}, 1) → c_{13}
14. Circle(A_{14}, 1) → c_{14}
15. Circle(A_{15}, 1) → c_{15}
16. Circle(A_{16}, 1) → c_{16}
17. Circle(A_{17}, 1) → c_{17}
18. Circle(A_{18}, 1) → c_{18}
19. Circle(A_{19}, 1) → c_{19}
20. Circle(A_{20}, 1) → c_{20}
21. Polygon(E_1, F_1, 6) → poly1_1, a_1, K_1, b_1, c_{21}, d_1, e_1, f_1, H_1, I_1, J_1
22. Polygon(E_2, F_2, 6) → poly1_2, a_2, K_2, b_2, c_{22}, d_2, e_2, f_2, H_2, I_2, J_2
23. Polygon(E_3, F_3, 6) → poly1_3, a_3, K_3, b_3, c_{23}, d_3, e_3, f_3, H_3, I_3, J_3
24. Polygon(E_4, F_4, 6) → poly1_4, a_4, K_4, b_4, c_{24}, d_4, e_4, f_4, H_4, I_4, J_4
25. Polygon(E_5, F_5, 6) → poly1_5, a_5, K_5, b_5, c_{25}, d_5, e_5, f_5, H_5, I_5, J_5
26. Polygon(E_6, F_6, 6) → poly1_6, a_6, K_6, b_6, c_{26}, d_6, e_6, f_6, H_6, I_6, J_6
27. Polygon(E_7, F_7, 6) → poly1_7, a_7, K_7, b_7, c_{27}, d_7, e_7, f_7, H_7, I_7, J_7
28. Polygon(E_8, F_8, 6) → poly1_8, a_8, K_8, b_8, c_{28}, d_8, e_8, f_8, H_8, I_8, J_8
29. Polygon(E_9, F_9, 6) → poly1_9, a_9, K_9, b_9, c_{29}, d_9, e_9, f_9, H_9, I_9, J_9
30. Polygon(E_{10}, F_{10}, 6) → poly1_{10}, a_{10}, K_{10}, b_{10}, c_{30}, d_{10}, e_{10}, f_{10}, H_{10}, I_{10}, J_{10}
31. Polygon(E_{11}, F_{11}, 6) → poly1_{11}, a_{11}, K_{11}, b_{11}, c_{31}, d_{11}, e_{11}, f_{11}, H_{11}, I_{11}, J_{11}
32. Polygon(E_{12}, F_{12}, 6) → poly1_{12}, a_{12}, K_{12}, b_{12}, c_{32}, d_{12}, e_{12}, f_{12}, H_{12}, I_{12}, J_{12}
33. Polygon(E_{13}, F_{13}, 6) → poly1_{13}, a_{13}, K_{13}, b_{13}, c_{33}, d_{13}, e_{13}, f_{13}, H_{13}, I_{13}, J_{13}
34. Polygon(E_{14}, F_{14}, 6) → poly1_{14}, a_{14}, K_{14}, b_{14}, c_{34}, d_{14}, e_{14}, f_{14}, H_{14}, I_{14}, J_{14}
35. Polygon(E_{15}, F_{15}, 6) → poly1_{15}, a_{15}, K_{15}, b_{15}, c_{35}, d_{15}, e_{15}, f_{15}, H_{15}, I_{15}, J_{15}
36. Polygon(E_{16}, F_{16}, 6) → poly1_{16}, a_{16}, K_{16}, b_{16}, c_{36}, d_{16}, e_{16}, f_{16}, H_{16}, I_{16}, J_{16}
37. Polygon(E_{17}, F_{17}, 6) → poly1_{17}, a_{17}, K_{17}, b_{17}, c_{37}, d_{17}, e_{17}, f_{17}, H_{17}, I_{17}, J_{17}
38. Polygon(E_{18}, F_{18}, 6) → poly1_{18}, a_{18}, K_{18}, b_{18}, c_{38}, d_{18}, e_{18}, f_{18}, H_{18}, I_{18}, J_{18}
39. Polygon(E_{19}, F_{19}, 6) → poly1_{19}, a_{19}, K_{19}, b_{19}, c_{39}, d_{19}, e_{19}, f_{19}, H_{19}, I_{19}, J_{19}
40. Polygon(E_{20}, F_{20}, 6) → poly1_{20}, a_{20}, K_{20}, b_{20}, c_{40}, d_{20}, e_{20}, f_{20}, H_{20}, I_{20}, J_{20}
41. Segment(E, G) → a
42. Segment(E, F) → b
43. Segment(L, K) → i
44. Segment(K, M) → j
45. Polygon(Q_2, R_2, 4) → poly1_{22}, r_2, s_2, t_2, g_3, S_2, T_2
46. Polygon(Q_3, R_3, 4) → poly1_{23}, r_3, s_3, t_3, g_4, S_3, T_3
47. Polygon(Q_4, R_4, 4) → poly1_{24}, r_4, s_4, t_4, g_5, S_4, T_4
48. Polygon(Q_5, R_5, 4) → poly1_{25}, r_5, s_5, t_5, g_6, S_5, T_5
49. Polygon(Q_6, R_6, 4) → poly1_{26}, r_6, s_6, t_6, g_7, S_6, T_6
50. Polygon(Q_7, R_7, 4) → poly1_{27}, r_7, s_7, t_7, g_8, S_7, T_7
51. Polygon(Q_8, R_8, 4) → poly1_{28}, r_8, s_8, t_8, g_9, S_8, T_8
52. Polygon(Q_9, R_9, 4) → poly1_{29}, r_9, s_9, t_9, g_{10}, S_9, T_9
53. Polygon(Q_{10}, R_{10}, 4) → poly1_{30}, r_{10}, s_{10}, t_{10}, g_{11}, S_{10}, T_{10}
54. Polygon(Q_{11}, R_{11}, 4) → poly1_{31}, r_{11}, s_{11}, t_{11}, g_{12}, S_{11}, T_{11}
55. Polygon(Q_{12}, R_{12}, 4) → poly1_{32}, r_{12}, s_{12}, t_{12}, g_{13}, S_{12}, T_{12}
56. Polygon(Q_{13}, R_{13}, 4) → poly1_{33}, r_{13}, s_{13}, t_{13}, g_{14}, S_{13}, T_{13}
57. Polygon(Q_{14}, R_{14}, 4) → poly1_{34}, r_{14}, s_{14}, t_{14}, g_{15}, S_{14}, T_{14}
58. Polygon(Q_{15}, R_{15}, 4) → poly1_{35}, r_{15}, s_{15}, t_{15}, g_{16}, S_{15}, T_{15}
59. Polygon(Q_{16}, R_{16}, 4) → poly1_{36}, r_{16}, s_{16}, t_{16}, g_{17}, S_{16}, T_{16}
60. Polygon(Q_{17}, R_{17}, 4) → poly1_{37}, r_{17}, s_{17}, t_{17}, g_{18}, S_{17}, T_{17}
61. Polygon(Q_{18}, R_{18}, 4) → poly1_{38}, r_{18}, s_{18}, t_{18}, g_{19}, S_{18}, T_{18}
62. Polygon(Q_{19}, R_{19}, 4) → poly1_{39}, r_{19}, s_{19}, t_{19}, g_{20}, S_{19}, T_{19}
63. Polygon(Q_{20}, R_{20}, 4) → poly1_{40}, r_{20}, s_{20}, t_{20}, g_{21}, S_{20}, T_{20}
64. Polygon(S, U, V, T) → poly1, s, q_1, r, t
65. Polygon(S_1, U_1, V_1, T_1) → poly1_{21}, s_1, q_2, r_1, t_1
66. Polygon(S_{21}, U_2, V_2, T_{21}) → poly1_{41}, s_{21}, q_3, r_{21}, t_{21}
67. Polygon(S_{22}, U_3, V_3, T_{22}) → poly1_{42}, s_{22}, q_4, r_{22}, t_{22}
68. Polygon(S_{23}, U_4, V_4, T_{23}) → poly1_{43}, s_{23}, q_5, r_{23}, t_{23}
69. Polygon(S_{24}, U_5, V_5, T_{24}) → poly1_{44}, s_{24}, q_6, r_{24}, t_{24}
70. Polygon(S_{25}, U_6, V_6, T_{25}) → poly1_{45}, s_{25}, q_7, r_{25}, t_{25}
71. Polygon(S_{26}, U_7, V_7, T_{26}) → poly1_{46}, s_{26}, q_8, r_{26}, t_{26}
72. Polygon(S_{27}, U_8, V_8, T_{27}) → poly1_{47}, s_{27}, q_9, r_{27}, t_{27}
73. Polygon(S_{28}, U_9, V_9, T_{28}) → poly1_{48}, s_{28}, q_{10}, r_{28}, t_{28}
74. Polygon(S_{29}, U_{10}, V_{10}, T_{29}) → poly1_{49}, s_{29}, q_{11}, r_{29}, t_{29}
75. Polygon(S_{30}, U_{11}, V_{11}, T_{30}) → poly1_{50}, s_{30}, q_{12}, r_{30}, t_{30}
76. Polygon(S_{31}, U_{12}, V_{12}, T_{31}) → poly1_{51}, s_{31}, q_{13}, r_{31}, t_{31}
77. Polygon(S_{32}, U_{13}, V_{13}, T_{32}) → poly1_{52}, s_{32}, q_{14}, r_{32}, t_{32}
78. Polygon(S_{33}, U_{14}, V_{14}, T_{33}) → poly1_{53}, s_{33}, q_{15}, r_{33}, t_{33}
79. Polygon(S_{34}, U_{15}, V_{15}, T_{34}) → poly1_{54}, s_{34}, q_{16}, r_{34}, t_{34}
80. Polygon(S_{35}, U_{16}, V_{16}, T_{35}) → poly1_{55}, s_{35}, q_{17}, r_{35}, t_{35}
81. Polygon(S_{36}, U_{17}, V_{17}, T_{36}) → poly1_{56}, s_{36}, q_{18}, r_{36}, t_{36}
82. Polygon(S_{37}, U_{18}, V_{18}, T_{37}) → poly1_{57}, s_{37}, q_{19}, r_{37}, t_{37}
83. Polygon(S_{38}, U_{19}, V_{19}, T_{38}) → poly1_{58}, s_{38}, q_{20}, r_{38}, t_{38}
84. Polygon(S_{39}, U_{20}, V_{20}, T_{39}) → poly1_{59}, s_{39}, q_{21}, r_{39}, t_{39}
85. Polygon(S_{40}, U_{21}, V_{21}, T_{40}) → poly1_{60}, s_{40}, q_{22}, r_{40}, t_{40}
86. Segment(I, J) → c
87. Segment(J, H) → d
88. Segment(I, E) → e
89. Segment(E, H) → f
90. Segment(O, P) → k
91. Segment(P, N) → l
92. Segment(O, K) → m
93. Segment(K, N) → n
94. Polygon(F1, U1, 3) → poly2, p, q, g_1, Q
95. Polygon(F2, U2, 3) → poly3, h_1, i_1, j_1, R
96. Polygon(F3, U3, 3) → poly4, k_1, l_1, m_1, W
97. Polygon(F4, U4, 3) → poly5, p_1, g_2, h_2, Z
98. Polygon(F5, U5, 3) → poly6, i_2, j_2, k_2, B_1
99. Polygon(F6, U6, 3) → poly7, l_2, m_2, n_2, G_1
100. Polygon(F7, U7, 3) → poly8, p_2, h_3, i_3, L_1
101. Polygon(F8, U8, 3) → poly9, j_3, k_3, l_3, M_1
102. Polygon(F9, U9, 3) → poly10, m_3, n_3, p_3, N_1
103. Polygon(F10, U10, 3) → poly11, h_4, i_4, j_4, O_1
104. Polygon(F11, U11, 3) → poly12, k_4, l_4, m_4, P_1
105. Polygon(F12, U12, 3) → poly13, n_4, p_4, h_5, W_1
106. Polygon(F13, U13, 3) → poly14, i_5, j_5, k_5, Z_1
107. Polygon(F14, U14, 3) → poly15, l_5, m_5, n_5, B_2
108. Polygon(F15, U15, 3) → poly16, p_5, h_6, i_6, G_2
109. Polygon(F16, U16, 3) → poly17, j_6, k_6, l_6, L_2
110. Polygon(F17, U17, 3) → poly18, m_6, n_6, p_6, M_2
111. Polygon(F18, U18, 3) → poly19, h_7, i_7, j_7, N_2
112. Polygon(F19, U19, 3) → poly20, k_7, l_7, m_7, O_2
113. Polygon(F20, U20, 3) → poly21, n_7, p_7, h_8, P_2
114. Polygon(F21, U21, 3) → poly22, i_8, j_8, k_8, W_2
115. Polygon(F22, U22, 3) → poly23, l_8, m_8, n_8, Z_2
116. Polygon(F23, U23, 3) → poly24, p_8, h_9, i_9, B_3
117. Polygon(F24, U24, 3) → poly25, j_9, k_9, l_9, C_3
118. Polygon(F25, U25, 3) → poly26, m_9, n_9, p_9, D_3
119. Polygon(F26, U26, 3) → poly27, h_{10}, i_{10}, j_{10}, G_3
120. Polygon(F27, U27, 3) → poly28, k_{10}, l_{10}, m_{10}, L_3
121. Polygon(F28, U28, 3) → poly29, n_{10}, p_{10}, h_{11}, M_3
122. Polygon(F29, U29, 3) → poly30, i_{11}, j_{11}, k_{11}, N_3
123. Polygon(B1, K1, 3) → poly31, l_{11}, m_{11}, n_{11}, O_3
124. Polygon(B2, K2, 3) → poly32, p_{11}, h_{12}, i_{12}, P_3
125. Polygon(B3, K3, 3) → poly33, j_{12}, k_{12}, l_{12}, W_3
126. Polygon(B4, K4, 3) → poly34, m_{12}, n_{12}, p_{12}, Z_3
127. Polygon(B5, K5, 3) → poly35, h_{13}, i_{13}, j_{13}, B_4
128. Polygon(B6, K6, 3) → poly36, k_{13}, l_{13}, m_{13}, C_4
129. Polygon(B7, K7, 3) → poly37, n_{13}, p_{13}, h_{14}, D_4
130. Polygon(B8, K8, 3) → poly38, i_{14}, j_{14}, k_{14}, G_4
131. Polygon(B9, K9, 3) → poly39, l_{14}, m_{14}, n_{14}, L_4
132. Polygon(B10, K10, 3) → poly40, p_{14}, h_{15}, i_{15}, M_4
133. Polygon(B11, K11, 3) → poly41, j_{15}, k_{15}, l_{15}, N_4
134. Polygon(B12, K12, 3) → poly42, m_{15}, n_{15}, p_{15}, O_4
135. Polygon(B13, K13, 3) → poly43, h_{16}, i_{16}, j_{16}, P_4
136. Polygon(B14, K14, 3) → poly44, k_{16}, l_{16}, m_{16}, W_4
137. Polygon(B15, K15, 3) → poly45, n_{16}, p_{16}, h_{17}, Z_4