Pythagoras' Tree with Circles

GeoGebra Commands & Parameters

1. Midpoint(A, B) → C
2. Rotate(B, a, C) → B'
3. Polygon(B', B, 4) → poly1, b', b, c, d, D, E
4. Polygon(A, B', 4) → poly2, a_1, b'_1, e, f, F, G
5. Midpoint(B', D) → H
6. Midpoint(G, B') → I
7. Midpoint(E, D) → J
8. Midpoint(G, F) → K
9. Rotate(D, a, J) → D'
10. Rotate(F, a, K) → F'
11. Polygon(D', D, 4) → poly3, d', d_1, g, h, L, M
12. Polygon(E, D', 4) → poly4, e_1, d'_1, i, j, N, O
13. Polygon(F', F, 4) → poly5, f', f_1, k, l, P, Q
14. Polygon(G, F', 4) → poly6, g_1, f'_1, m, n, R, S
15. Midpoint(D', L) → T
16. Midpoint(O, D') → U
17. Midpoint(F, Q) → V
18. Midpoint(G, R) → W
19. Circle(H, B) → p
20. Circle(I, A) → q
21. Circle(T, D) → r
22. Circle(U, E) → s
23. Circle(V, F) → t
24. Circle(W, G) → c_1
25. Tool2(M, L, a) → h_1, k_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, p_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, q_1, r_1, s_1, Z, A_1, B_1, C_1
26. Tool2(O, N, a) → t_1, c_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, d_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2, W_2, e_2, f_2, g_2, Z_1, A_2, B_2, C_2
27. Tool2(Q, P, a) → h_2, k_2, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, L_3, M_3, p_2, N_3, O_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, q_2, r_2, s_2, Z_2, A_3, B_3, C_3
28. Tool2(S, R, a) → t_2, c_3, D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, d_3, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, e_3, f_3, g_3, Z_3, A_4, B_4, C_4
29. Tool2(M_1, L_1, a) → h_3, k_3, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, L_5, M_5, p_3, N_5, O_5, P_5, Q_5, R_5, S_5, T_5, U_5, V_5, W_5, q_3, r_3, s_3, Z_4, A_5, B_5, C_5
30. Tool2(O_1, N_1, a) → t_3, c_4, D_6, E_6, F_6, G_6, H_6, I_6, J_6, K_6, L_6, M_6, d_4, N_6, O_6, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, e_4, f_4, g_4, Z_5, A_6, B_6, C_6
31. Tool2(Q_1, P_1, a) → h_4, k_4, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7, p_4, N_7, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, W_7, q_4, r_4, s_4, Z_6, A_7, B_7, C_7
32. Tool2(S_1, R_1, a) → t_4, c_5, D_8, E_8, F_8, G_8, H_8, I_8, J_8, K_8, L_8, M_8, d_5, N_8, O_8, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, W_8, e_5, f_5, g_5, Z_7, A_8, B_8, C_8
33. Tool2(M_2, L_2, a) → h_5, k_5, D_9, E_9, F_9, G_9, H_9, I_9, J_9, K_9, L_9, M_9, p_5, N_9, O_9, P_9, Q_9, R_9, S_9, T_9, U_9, V_9, W_9, q_5, r_5, s_5, Z_8, A_9, B_9, C_9
34. Tool2(O_2, N_2, a) → t_5, c_6, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}, M_{10}, d_6, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}, U_{10}, V_{10}, W_{10}, e_6, f_6, g_6, Z_9, A_{10}, B_{10}, C_{10}
35. Tool2(Q_2, P_2, a) → h_6, k_6, D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, p_6, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, q_6, r_6, s_6, Z_{10}, A_{11}, B_{11}, C_{11}
36. Tool2(S_2, R_2, a) → t_6, c_7, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}, d_7, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, e_7, f_7, g_7, Z_{11}, A_{12}, B_{12}, C_{12}
37. Tool2(M_3, L_3, a) → h_7, k_7, D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}, M_{13}, p_7, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, U_{13}, V_{13}, W_{13}, q_7, r_7, s_7, Z_{12}, A_{13}, B_{13}, C_{13}
38. Tool2(O_3, N_3, a) → t_7, c_8, D_{14}, E_{14}, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, d_8, N_{14}, O_{14}, P_{14}, Q_{14}, R_{14}, S_{14}, T_{14}, U_{14}, V_{14}, W_{14}, e_8, f_8, g_8, Z_{13}, A_{14}, B_{14}, C_{14}
39. Tool2(Q_3, P_3, a) → h_8, k_8, D_{15}, E_{15}, F_{15}, G_{15}, H_{15}, I_{15}, J_{15}, K_{15}, L_{15}, M_{15}, p_8, N_{15}, O_{15}, P_{15}, Q_{15}, R_{15}, S_{15}, T_{15}, U_{15}, V_{15}, W_{15}, q_8, r_8, s_8, Z_{14}, A_{15}, B_{15}, C_{15}
40. Tool2(S_3, R_3, a) → t_8, c_9, D_{16}, E_{16}, F_{16}, G_{16}, H_{16}, I_{16}, J_{16}, K_{16}, L_{16}, M_{16}, d_9, N_{16}, O_{16}, P_{16}, Q_{16}, R_{16}, S_{16}, T_{16}, U_{16}, V_{16}, W_{16}, e_9, f_9, g_9, Z_{15}, A_{16}, B_{16}, C_{16}
41. Tool2(M_4, L_4, a) → h_9, k_9, D_{17}, E_{17}, F_{17}, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}, L_{17}, M_{17}, p_9, N_{17}, O_{17}, P_{17}, Q_{17}, R_{17}, S_{17}, T_{17}, U_{17}, V_{17}, W_{17}, q_9, r_9, s_9, Z_{16}, A_{17}, B_{17}, C_{17}
42. Tool2(O_4, N_4, a) → t_9, c_{10}, D_{18}, E_{18}, F_{18}, G_{18}, H_{18}, I_{18}, J_{18}, K_{18}, L_{18}, M_{18}, d_{10}, N_{18}, O_{18}, P_{18}, Q_{18}, R_{18}, S_{18}, T_{18}, U_{18}, V_{18}, W_{18}, e_{10}, f_{10}, g_{10}, Z_{17}, A_{18}, B_{18}, C_{18}
43. Tool2(Q_4, P_4, a) → h_{10}, k_{10}, D_{19}, E_{19}, F_{19}, G_{19}, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}, M_{19}, p_{10}, N_{19}, O_{19}, P_{19}, Q_{19}, R_{19}, S_{19}, T_{19}, U_{19}, V_{19}, W_{19}, q_{10}, r_{10}, s_{10}, Z_{18}, A_{19}, B_{19}, C_{19}
44. Tool2(S_4, R_4, a) → t_{10}, c_{11}, D_{20}, E_{20}, F_{20}, G_{20}, H_{20}, I_{20}, J_{20}, K_{20}, L_{20}, M_{20}, d_{11}, N_{20}, O_{20}, P_{20}, Q_{20}, R_{20}, S_{20}, T_{20}, U_{20}, V_{20}, W_{20}, e_{11}, f_{11}, g_{11}, Z_{19}, A_{20}, B_{20}, C_{20}