Exploring Symmetry and Regular Polygons

GeoGebra Commands & Parameters

1. Polygon(A, B, n) → poli1, c, a, b, f_1, g_1, C, E, H
2. Polygon(A_1, B_1, n_1) → poli1_1, c_1, I, a_1, d, i_{17}, r_2, s_4, C_1, V_9, W_9
3. Polygon(A_2, B_2, n_2) → poli1_2, c_2, O, a_2, e, h_1, i_1, j_1, C_2, U_2, N
4. Polygon(A_3, B_3, n_3) → poli1_3, c_3, a_3, g, C_3
5. Polygon(A_4, B_4, n_4) → poli1_4, c_4, I_{10}, P, Q, a_4, f, l_{17}, k_1, l_1, m_1, C_4, H_{10}
6. Polygon(A_5, B_5, n_5) → poli1_5, c_5, R, S, Z, a_5, h, q_1, r_1, s_1, t_1, C_5, M
7. Polygon(A_6, B_6, n_6) → poli1_6, c_6, a_6, i, C_6
8. Polygon(A_7, B_7, n_7) → poli1_7, c_7, E_1, I_1, J_1, a_7, l, b_2, d_2, f_2, g_2, C_7, D_1
9. Polygon(A_8, B_8, n_8) → poli1_8, c_8, a_8, m, j_2, k_2, C_8, K_1, L_1
10. Polygon(A_9, B_9, n_9) → poli1_9, c_9, M_1, N_1, O_1, a_9, j, l_2, m_2, q_2, s_2, C_{17}, D
11. Polygon(A_{10}, B_{10}, n_{10}) → poli1_{10}, c_{10}, a_{10}, q, t_2, C_{16}, Q_1
12. Polygon(A_{11}, B_{11}, n_{11}) → poli1_{11}, c_{11}, R_1, a_{11}, k, m_4, b_3, d_3, C_{15}, F_1, T
13. Polygon(A_{12}, B_{12}, n_{12}) → poli1_{12}, c_{12}, U_1, V_1, Z_1, a_{12}, r, e_3, f_3, i_3, k_3, C_{14}, T_1
14. Polygon(A_{13}, B_{13}, n_{13}) → poli1_{13}, c_{13}, E_2, a_{13}, p, p_1, l_3, m_3, C_{13}, P_1, D_2
15. Polygon(A_{14}, B_{14}, n_{14}) → poli1_{14}, c_{14}, G_2, H_2, I_2, a_{14}, s, p_3, q_3, r_3, s_3, C_{12}, F_2
16. Polygon(A_{15}, B_{15}, n_{15}) → poli1_{15}, c_{15}, a_{15}, t, b_1, p_2, C_{11}, F, G
17. Polygon(A_{16}, B_{16}, n_{16}) → poli1_{16}, c_{16}, L, a_{16}, d_1, j_3, t_4, m_5, C_{10}, K_{10}, J
18. Polygon(A_{17}, B_{17}, n_{17}) → poli1_{17}, c_{17}, J_2, a_{17}, e_1, t_3, b_4, d_4, C_9, W_1, K
19. Polygon(G_1, H_1, 3) → poli2, s_7, g_3, h_3, S_1
20. Line(U, h_3) → e_2
21. Line(V, g_3) → h_2
22. Line(W, s_7) → i_2
23. Mirror(poli1, i_2) → poli1'
24. Mirror(poli1_1, i_2) → poli3
25. Mirror(poli1_2, i_2) → poli4
26. Mirror(poli1_3, i_2) → poli5
27. Mirror(poli1_4, i_2) → poli6
28. Mirror(poli1_5, i_2) → poli7
29. Mirror(poli1_6, i_2) → poli8
30. Mirror(poli1_7, i_2) → poli9
31. Mirror(poli1_8, i_2) → poli10
32. Mirror(poli1_9, i_2) → poli11
33. Mirror(poli1_{10}, i_2) → poli12
34. Mirror(poli1_{11}, i_2) → poli13
35. Mirror(poli1_{12}, i_2) → poli14
36. Mirror(poli1_{13}, i_2) → poli15
37. Mirror(poli1_{14}, i_2) → poli16
38. Mirror(poli1_{15}, i_2) → poli17
39. Mirror(poli1_{16}, i_2) → poli18
40. Mirror(poli1_{17}, i_2) → poli19
41. Mirror(poli2, i_2) → poli2'
42. Mirror(poli1, h_2) → poli1'_1
43. Mirror(poli1_1, h_2) → poli20
44. Mirror(poli1_2, h_2) → poli21
45. Mirror(poli1_3, h_2) → poli22
46. Mirror(poli1_4, h_2) → poli23
47. Mirror(poli1_5, h_2) → poli24
48. Mirror(poli1_6, h_2) → poli25
49. Mirror(poli1_7, h_2) → poli26
50. Mirror(poli1_8, h_2) → poli27
51. Mirror(poli1_9, h_2) → poli28
52. Mirror(poli1_{10}, h_2) → poli29
53. Mirror(poli1_{11}, h_2) → poli30
54. Mirror(poli1_{12}, h_2) → poli31
55. Mirror(poli1_{13}, h_2) → poli32
56. Mirror(poli1_{14}, h_2) → poli33
57. Mirror(poli1_{15}, h_2) → poli34
58. Mirror(poli1_{16}, h_2) → poli35
59. Mirror(poli1_{17}, h_2) → poli36
60. Mirror(poli2, h_2) → poli2'_1
61. Mirror(poli1, e_2) → poli1'_2
62. Mirror(poli1_1, e_2) → poli37
63. Mirror(poli1_2, e_2) → poli38
64. Mirror(poli1_3, e_2) → poli39
65. Mirror(poli1_4, e_2) → poli40
66. Mirror(poli1_5, e_2) → poli41
67. Mirror(poli1_6, e_2) → poli42
68. Mirror(poli1_7, e_2) → poli43
69. Mirror(poli1_8, e_2) → poli44
70. Mirror(poli1_9, e_2) → poli45
71. Mirror(poli1_{10}, e_2) → poli46
72. Mirror(poli1_{11}, e_2) → poli47
73. Mirror(poli1_{12}, e_2) → poli48
74. Mirror(poli1_{13}, e_2) → poli49
75. Mirror(poli1_{14}, e_2) → poli50
76. Mirror(poli1_{15}, e_2) → poli51
77. Mirror(poli1_{16}, e_2) → poli52
78. Mirror(poli1_{17}, e_2) → poli53
79. Mirror(poli2, e_2) → poli2'_2