Geometric Construction of Cyclic Shapes

GeoGebra Commands & Parameters

1. Polygon(A, B, 12) → poly1, a, j, k, l, C, D, E, F, G, H, I, b, J, K, L, c, d, e, f, g, h, i
2. Polygon(I, H, 3) → poly2, m, n, p, M
3. Polygon(H, G, 3) → poly3, q, r, s, N
4. Polygon(G, F, 3) → poly4, t, a_1, b_1, O
5. Polygon(F, E, 3) → poly5, c_1, d_1, e_1, P
6. Polygon(E, D, 3) → poly6, f_1, g_1, h_1, Q
7. Polygon(D, C, 3) → poly7, i_1, j_1, k_1, R
8. Polygon(C, B, 3) → poly8, l_1, m_1, n_1, S
9. Polygon(B, A, 3) → poly9, p_1, q_1, r_1, T
10. Polygon(A, L, 3) → poly10, s_1, t_1, a_2, U
11. Polygon(L, K, 3) → poly11, b_2, c_2, d_2, V
12. Polygon(K, J, 3) → poly12, e_2, f_2, g_2, W
13. Polygon(J, I, 3) → poly13, h_2, i_2, j_2, Z
14. Circle(W, Z, M) → k_2
15. Circle(J, I, D) → p_2
16. Polygon(H, I, 3) → poly14, l_2, m_2, n_2, A_1
17. Polygon(I, J, 3) → poly15, q_2, r_2, s_2, B_1
18. Polygon(J, K, 3) → poly16, t_2, a_3, b_3, C_1
19. Polygon(K, L, 3) → poly17, c_3, d_3, e_3, D_1
20. Polygon(L, A, 3) → poly18, f_3, g_3, h_3, E_1
21. Polygon(A, B, 3) → poly19, i_3, j_3, k_3, F_1
22. Polygon(B, C, 3) → poly20, l_3, m_3, n_3, G_1
23. Polygon(C, D, 3) → poly21, p_3, q_3, r_3, H_1
24. Polygon(D, E, 3) → poly22, s_3, t_3, a_4, I_1
25. Polygon(E, F, 3) → poly23, b_4, c_4, d_4, J_1
26. Polygon(F, G, 3) → poly24, e_4, f_4, g_4, K_1
27. Polygon(G, H, 3) → poly25, h_4, i_4, j_4, L_1
28. Circle(B_1, A_1, H_1) → k_4
29. Polygon(A_1, B_1, 3) → poly26, l_4, m_4, n_4, M_1
30. Polygon(B_1, C_1, 3) → poly27, p_4, q_4, r_4, N_1
31. Polygon(C_1, D_1, 3) → poly28, s_4, t_4, a_5, O_1
32. Polygon(D_1, E_1, 3) → poly29, b_5, c_5, d_5, P_1
33. Polygon(E_1, F_1, 3) → poly30, e_5, f_5, g_5, Q_1
34. Polygon(F_1, G_1, 3) → poly31, h_5, i_5, j_5, R_1
35. Polygon(L_1, A_1, 3) → poly32, k_5, l_5, m_5, S_1
36. Polygon(K_1, L_1, 3) → poly33, n_5, p_5, q_5, T_1
37. Polygon(J_1, K_1, 3) → poly34, r_5, s_5, t_5, U_1
38. Polygon(I_1, J_1, 3) → poly35, a_6, b_6, c_6, V_1
39. Polygon(H_1, I_1, 3) → poly36, d_6, e_6, f_6, W_1
40. Polygon(G_1, H_1, 3) → poly37, g_6, h_6, i_6, Z_1
41. Polygon(P_1, Q_1, 3) → poly38, j_6, k_6, l_6, A_2
42. Polygon(Q_1, R_1, 3) → poly39, m_6, n_6, p_6, B_2
43. Polygon(O_1, P_1, 3) → poly40, q_6, r_6, s_6, C_2
44. Polygon(N_1, O_1, 3) → poly41, t_6, a_7, b_7, D_2
45. Polygon(C, B, 3) → poly42, c_7, d_7, e_7, E_2
46. Intersect(b, c) → F_2
47. Intersect(q_4, r_4) → K_2
48. Intersect(p_5, q_5) → L_2
49. Intersect(h_6, i_6) → M_2
50. Circle(K_2, L_2, M_2) → f_7
51. Center(f_7) → N_2
52. Rotate(poly2, Δ, N_2) → poly2'
53. Rotate(poly3, Δ, N_2) → poly3'
54. Rotate(poly4, Δ, N_2) → poly4'
55. Rotate(poly5, Δ, N_2) → poly5'
56. Rotate(poly6, Δ, N_2) → poly6'
57. Rotate(poly7, Δ, N_2) → poly7'
58. Rotate(poly9, Δ, N_2) → poly9'
59. Rotate(poly10, Δ, N_2) → poly10'
60. Rotate(poly11, Δ, N_2) → poly11'
61. Rotate(poly12, Δ, N_2) → poly12'
62. Rotate(poly13, Δ, N_2) → poly13'
63. Rotate(poly14, Δ, N_2) → poly14'
64. Rotate(poly15, Δ, N_2) → poly15'
65. Rotate(poly16, Δ, N_2) → poly16'
66. Rotate(poly17, Δ, N_2) → poly17'
67. Rotate(poly18, Δ, N_2) → poly18'
68. Rotate(poly19, Δ, N_2) → poly19'
69. Rotate(poly20, Δ, N_2) → poly20'
70. Rotate(poly21, Δ, N_2) → poly21'
71. Rotate(poly22, Δ, N_2) → poly22'
72. Rotate(poly23, Δ, N_2) → poly23'
73. Rotate(poly24, Δ, N_2) → poly24'
74. Rotate(poly25, Δ, N_2) → poly25'
75. Rotate(poly26, Δ, N_2) → poly26'
76. Rotate(poly27, Δ, N_2) → poly27'
77. Rotate(poly28, Δ, N_2) → poly28'
78. Rotate(poly29, Δ, N_2) → poly29'
79. Rotate(poly30, Δ, N_2) → poly30'
80. Rotate(poly31, Δ, N_2) → poly31'
81. Rotate(poly32, Δ, N_2) → poly32'
82. Rotate(poly33, Δ, N_2) → poly33'
83. Rotate(poly34, Δ, N_2) → poly34'
84. Rotate(poly35, Δ, N_2) → poly35'
85. Rotate(poly36, Δ, N_2) → poly36'
86. Rotate(poly37, Δ, N_2) → poly37'
87. Rotate(poly42, Δ, N_2) → poly42'
88. Rotate(k_2, Δ, N_2) → g_7
89. Rotate(f_7, Δ, N_2) → h_7