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Geometry Construction: How Many Groups? (Part 1)

Geometry Construction: How Many Groups? (Part 1)
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2020-07-16 18:54
PolygonAngleGeometric Construction
This example demonstrates solving grouping problems through geometric construction. Key math concepts include angles, subtraction, ratios, and addition. It uses commands like Hexagon, Tool2, Tool4, Tool3, etc. Suitable for middle school math education.

GeoGebra Commands & Parameters

  1. Hexagon(A) → f, g, h, i, j, k, poly1, B
  2. Hexagon(C) → l, m, n, p, q, r, poly2, D
  3. Hexagon(E) → s, t, a, b, c, d, poly3, F
  4. Hexagon(G) → e, f_1, g_1, h_1, i_1, j_1, poly4, H
  5. Tool2(I) → poly5, k_1, l_1, m_1, n_1, J
  6. Tool2(K) → poly6, p_1, q_1, r_1, s_1, L
  7. Tool2(M) → poly7, t_1, a_1, b_1, c_1, N
  8. Tool2(O) → poly8, d_1, e_1, f_2, g_2, P
  9. Tool4(Q) → h_2, i_2, j_2, k_2, R, poly9
  10. Tool4(S) → l_2, m_2, n_2, p_2, T, poly10
  11. Tool4(U) → q_2, r_2, s_2, t_2, V, poly11
  12. Tool4(W) → a_2, b_2, c_2, d_2, Z, poly12
  13. Tool4(A_1) → e_2, f_3, g_3, h_3, B_1, poly13
  14. Tool4(C_1) → i_3, j_3, k_3, l_3, D_1, poly14
  15. Tool3(E_1) → m_3, n_3, p_3, F_1, poly15
  16. Tool3(G_1) → q_3, r_3, s_3, H_1, poly16
  17. Tool3(I_1) → t_3, a_3, b_3, J_1, poly17
  18. Tool3(K_1) → c_3, d_3, e_3, L_1, poly18
  19. Tool3(M_1) → f_4, g_4, h_4, N_1, poly19
  20. Tool3(O_1) → i_4, j_4, k_4, P_1, poly20
  21. Tool3(Q_1) → l_4, m_4, n_4, R_1, poly21
  22. Tool3(S_1) → p_4, q_4, r_4, T_1, poly22
  23. Tool3(U_1) → s_4, t_4, a_4, V_1, poly23
  24. Tool3(W_1) → b_4, c_4, d_4, Z_1, poly24
  25. Tool3(A_2) → e_4, f_5, g_5, B_2, poly25
  26. Tool3(C_2) → h_5, i_5, j_5, D_2, poly26
  27. Hexagon(A_3) → f_6, g_6, h_6, i_6, j_6, k_5, poly1_1, B_3
  28. Hexagon(C_3) → l_5, m_5, n_5, p_5, q_5, r_5, poly2_1, D_3
  29. Hexagon(E_2) → s_5, t_5, a_5, b_5, c_5, d_5, poly3_1, F_2
  30. Hexagon(G_2) → e_5, f_7, g_7, h_7, i_7, j_7, poly4_1, H_2
  31. Tool2(I_2) → poly5_1, k_6, l_6, m_6, n_6, J_2
  32. Tool2(K_2) → poly6_1, p_6, q_6, r_6, s_6, L_2
  33. Tool2(M_2) → poly7_1, t_6, a_6, b_6, c_6, N_2
  34. Tool2(O_2) → poly8_1, d_6, e_6, f_8, g_8, P_2
  35. Tool4(Q_2) → h_8, i_8, j_8, k_7, R_2, poly9_1
  36. Tool4(S_2) → l_7, m_7, n_7, p_7, T_2, poly10_1
  37. Tool4(U_2) → q_7, r_7, s_7, t_7, V_2, poly11_1
  38. Tool4(W_2) → a_7, b_7, c_7, d_7, Z_2, poly12_1
  39. Tool4(A_4) → e_7, f_9, g_9, h_9, B_4, poly13_1
  40. Tool4(C_4) → i_9, j_9, k_8, l_8, D_4, poly14_1
  41. Tool3(E_3) → m_8, n_8, p_8, F_3, poly15_1
  42. Tool3(G_3) → q_8, r_8, s_8, H_3, poly16_1
  43. Tool3(I_3) → t_8, a_8, b_8, J_3, poly17_1
  44. Tool3(K_3) → c_8, d_8, e_8, L_3, poly18_1
  45. Tool3(M_3) → f_{10}, g_{10}, h_{10}, N_3, poly19_1
  46. Tool3(O_3) → i_{10}, j_{10}, k_9, P_3, poly20_1
  47. Tool3(Q_3) → l_9, m_9, n_9, R_3, poly21_1
  48. Tool3(S_3) → p_9, q_9, r_9, T_3, poly22_1
  49. Tool3(U_3) → s_9, t_9, a_9, V_3, poly23_1
  50. Tool3(W_3) → b_9, c_9, d_9, Z_3, poly24_1
  51. Tool3(A_5) → e_9, f_{11}, g_{11}, B_5, poly25_1
  52. Tool3(C_5) → h_{11}, i_{11}, j_{11}, D_5, poly26_1

AI Drawing Prompt Reference

Draw a geometric figure composed of multiple hexagons, each formed by points A, C, E, G, I, K, M, O, Q, S, U, W, A1, C1, E1, G1, I1, K1, M1, O1, Q1, S1, U1, W1, A2, C2, E2, G2, I2, K2, M2, O2, Q2, S2, U2, W2, A3, C3, E2, G2, I2, K2, M2, O2, Q2, S2, U2, W2, A4, C4, E3, G3, I3, K3, M3, O3, Q3, S3, U3, W3. Start by drawing hexagons A, C, E, G, I, K, M, O, Q, S, U, W, then use Tool2 and Tool4 to add more hexagons, and finally use Tool3 to further construct the figure.
The prompt above was compiled from the original drawing commands and is for reference only.