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Rhombitrihexagonal Tiling

Rhombitrihexagonal Tiling
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2014-12-17 08:12
PolygonAngleGeometric Construction
This example demonstrates the rhombitrihexagonal tiling, showcasing rotational and translational symmetry, and exercises in measuring the angles of regular polygons. Using GeoGebra commands such as Point, Intersect, and Polygon, students can practice drawing and understanding tessellations. Suitable for middle school and above students to learn geometric construction and symmetry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Polygon(A, B, 6) → poly1, a, F, b, c, d, e, f, C, D, E
  4. Polygon(F, E, 4) → poly2, g, h, i, j, G, H
  5. Polygon(E, D, 4) → poly3, k, l, m, n, I, J
  6. Polygon(D, C, 4) → poly4, p, q, r, s, K, L
  7. Polygon(C, B, 4) → poly5, t, a_1, b_1, c_1, M, N
  8. Polygon(B, A, 4) → poly6, d_1, e_1, f_1, g_1, O, P
  9. Polygon(A, F, 4) → poly7, h_1, i_1, j_1, k_1, Q, R
  10. Polygon(E, J, 3) → poly8, l_1, m_1, n_1, S
  11. Polygon(F, H, 3) → poly9, p_1, q_1, r_1, T
  12. Polygon(A, R, 3) → poly10, s_1, t_1, a_2, U
  13. Polygon(B, P, 3) → poly11, b_2, c_2, d_2, V
  14. Polygon(C, N, 3) → poly12, e_2, f_2, g_2, W
  15. Polygon(D, L, 3) → poly13, h_2, i_2, j_2, Z
  16. Polygon(H, G, 6) → poly14, k_2, D_1, l_2, m_2, n_2, p_2, q_2, A_1, B_1, C_1
  17. Polygon(R, Q, 6) → poly15, r_2, H_1, s_2, t_2, a_3, b_3, c_3, E_1, F_1, G_1
  18. Polygon(P, O, 6) → poly16, d_3, L_1, e_3, f_3, g_3, h_3, i_3, I_1, J_1, K_1
  19. Polygon(N, M, 6) → poly17, j_3, P_1, k_3, l_3, m_3, n_3, p_3, M_1, N_1, O_1
  20. Polygon(L, K, 6) → poly18, q_3, T_1, r_3, s_3, t_3, a_4, b_4, Q_1, R_1, S_1
  21. Polygon(J, I, 6) → poly19, c_4, Z_1, d_4, e_4, f_4, g_4, h_4, U_1, V_1, W_1
  22. Polygon(G, J, 4) → poly20, i_4, j_4, k_4, l_4, A_2, B_2
  23. Polygon(H, D_1, 4) → poly21, m_4, n_4, p_4, q_4, C_2, D_2
  24. Polygon(O, R, 4) → poly22, r_4, s_4, t_4, a_5, E_2, F_2
  25. Polygon(M, P, 4) → poly23, b_5, c_5, d_5, e_5, G_2, H_2
  26. Polygon(K, N, 4) → poly24, f_5, g_5, h_5, i_5, I_2, J_2
  27. Polygon(I, L, 4) → poly25, j_5, k_5, l_5, m_5, K_2, L_2
  28. Polygon(D_1, C_1, 4) → poly26, n_5, p_5, q_5, r_5, M_2, N_2
  29. Polygon(F_1, E_1, 4) → poly27, s_5, t_5, a_6, b_6, O_2, P_2
  30. Polygon(B_1, A_1, 4) → poly28, c_6, d_6, e_6, f_6, Q_2, R_2
  31. Polygon(Z_1, W_1, 4) → poly29, g_6, h_6, i_6, j_6, S_2, T_2
  32. Polygon(V_1, U_1, 4) → poly30, k_6, l_6, m_6, n_6, U_2, V_2
  33. Polygon(T_1, S_1, 4) → poly31, p_6, q_6, r_6, s_6, W_2, Z_2
  34. Polygon(R_1, Q_1, 4) → poly32, t_6, a_7, b_7, c_7, A_3, B_3
  35. Polygon(P_1, O_1, 4) → poly33, d_7, e_7, f_7, g_7, C_3, D_3
  36. Polygon(N_1, M_1, 4) → poly34, h_7, i_7, j_7, k_7, E_3, F_3
  37. Polygon(L_1, K_1, 4) → poly35, l_7, m_7, n_7, p_7, G_3, H_3
  38. Polygon(J_1, I_1, 4) → poly36, q_7, r_7, s_7, t_7, I_3, J_3
  39. Polygon(H_1, G_1, 4) → poly37, a_8, b_8, c_8, d_8, K_3, L_3
  40. Polygon(I_1, H_1, 3) → poly38, e_8, f_8, g_8, M_3
  41. Polygon(E_1, D_1, 3) → poly39, h_8, i_8, j_8, N_3
  42. Polygon(A_1, Z_1, 3) → poly40, k_8, l_8, m_8, O_3
  43. Polygon(U_1, T_1, 3) → poly41, n_8, p_8, q_8, P_3
  44. Polygon(Q_1, P_1, 3) → poly42, r_8, s_8, t_8, Q_3
  45. Polygon(M_1, L_1, 3) → poly43, a_9, b_9, c_9, R_3

AI Drawing Prompt Reference

Draw a rhombitrihexagonal tiling with regular hexagons, squares, and triangles. Start by drawing a hexagon, then draw squares and triangles around it, making sure they intersect and connect properly to form the tiling pattern.
The prompt above was compiled from the original drawing commands and is for reference only.