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Malatya - Ulu Camii: Geometric Transformations and Polygon Construction

Malatya - Ulu Camii: Geometric Transformations and Polygon Construction
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2020-08-18 00:15
TrianglePolygonGeometric Construction
In collections Fatin Uluengin - muqarnas
This example demonstrates the creation of polygons through geometric transformations. Key mathematical concepts include geometric transformations, triangle properties, and polygon construction. The construction involves GeoGebra commands such as Segment, Point, PolyLine, Polygon, Line, and Mirror. Suitable for middle or high school mathematics to understand geometric transformations and construction principles.

GeoGebra Commands & Parameters

  1. Segment(B_2, C_2) → h
  2. Segment(D_2, C_2) → i
  3. Segment(E_2, F_2) → j
  4. Segment(F_2, G_2) → k
  5. Segment(H_2, I_2) → l
  6. Point(yAxis) → J_2
  7. Segment(H_2, J_2) → m
  8. Segment(K_2, L_2) → n
  9. Segment(K_2, M_2) → p
  10. Segment(N_2, O_2) → q
  11. Segment(O_2, P_2) → r
  12. Segment(O_2, Q_2) → s
  13. Segment(O_2, R_2) → t
  14. PolyLine(C, D, M, N, O, P, Q, R, S, T, U, V, E, W, Z, A_1, B_1, C_1, F, G, H, I, J, K, L) → f
  15. Point(yAxis) → N_1
  16. PolyLine(C, D_1, M_1, L_1, Q_1, P_1, O_1, T_1, S_1, R_1, U_1, V_1, E_1, A_2, Z_1, W_1, C_1, F_1, G_1, H_1, I_1, J_1, K_1, N_1) → g
  17. Point(g) → S_2
  18. Point(g) → T_2
  19. Polygon(S_2, I, T_2, I_1) → vierhoek1, s_2, i_1, t_2, a
  20. Polygon(T_2, U_2, S_2, I_1) → vierhoek2, b, u_2, c, d
  21. PolyLine(Z_2, D_1, D_3, L_1, E_3, Q_1, F_3, O_1, G_3, T_1, H_3, V_1, A_3, I_3, A_2, J_3, W_1, K_3, F_1, B_3, G_1, U_2, K_1, C_3, N_1) → e
  22. Point(xAxis) → S_3
  23. PolyLine(L_3, M_3, S_3, R_3, F_3, U_3, E_2, W_3, G_2, A_4, J_3, B_4, A_3, C_4, O_3, B_2, V_2, D_2, P_3, D_3, T_3) → f_1
  24. Polygon(U_2, D_2, V_2, B_2) → vierhoek3, g_1, d_2, v_2, b_2
  25. Polygon(D_2, C_2, B_2, V_2) → vierhoek4, h_1, c_2, j_1, k_1
  26. PolyLine(D_4, E_4, N_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4) → l_1
  27. PolyLine(D_4, P_4, M_2, W_4, N_4, I_2, W_2, J_2, Q_4, I_4, T_4, L_2, U_4) → m_1
  28. Polygon(C_2, J_2, W_2, I_2) → vierhoek5, n_1, j_2, w_2, i_2
  29. Polygon(J_2, H_2, I_2, W_2) → vierhoek6, p_1, h_2, q_1, r_1
  30. PolyLine(A_5, O_4, H_2, R_4, B_5, S_4, K_2, V_4, Z_4) → s_1
  31. PolyLine(C_5, Q_2, D_5, N_2, E_5, P_2, F_5, R_2, G_5) → t_1
  32. Polygon(Q_2, H_2, N_2, D_5) → vierhoek7, q_2, a_1, n_2, d_5
  33. Polygon(O_2, Q_2, D_5, N_2) → vierhoek8, o_2, b_1, c_1, d_1
  34. Line(J_5, K_5) → e_1
  35. Mirror(afbeelding2, e_1) → afbeelding2'

AI Drawing Prompt Reference

Draw a triangle ABC and then generate multiple triangles and quadrilaterals through transformations like translation and reflection. Start by drawing triangle ABC, then create triangle A1B1C1 by translation, and generate quadrilaterals S2IT1I1 and T2U2S2I1 by reflection. Next, draw quadrilaterals D2C2B2V2 and its reflection, and finally create multiple quadrilaterals and triangles through translation and reflection.
The prompt above was compiled from the original drawing commands and is for reference only.