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Kayseri-Sahibiye Madrassa Geometric Construction by chris cambré

Kayseri-Sahibiye Madrassa Geometric Construction by chris cambré
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2020-08-18 13:52
PolygonVectorGeometric Construction
In collections Fatin Uluengin - muqarnas
This example demonstrates the geometric construction process of the Kayseri-Sahibiye Madrassa. It involves core mathematical concepts such as polygons, vectors, transformations, and geometric construction. Key construction steps include using commands like Point, ConstructionStep, Polygon, Segment, Intersect, Mirror, Vector, and Translate in GeoGebra. Suitable for high school students learning geometric construction techniques.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. ConstructionStep() → stap
  3. Point(xAxis) → B
  4. Polygon(A, B, C, D) → vierhoek1, a, b, c, d
  5. Point(yAxis) → E
  6. Segment(E, F) → f
  7. Intersect(a, f) → G
  8. Point(c) → H_1
  9. Segment(H_1, G) → s
  10. Segment(D, G) → g
  11. Intersect(c, f) → H
  12. Segment(A, H) → h
  13. Point(d) → I
  14. Segment(I, J) → i
  15. Point(c) → K
  16. Point(a) → L
  17. Segment(K, L) → j
  18. Mirror(G, g) → G'
  19. Intersect(g, h) → N
  20. Point(d) → P
  21. Point(b) → M
  22. Segment(J, M) → k
  23. Point(c) → O
  24. Point(a) → R
  25. Segment(O, R) → l
  26. Segment(I, K) → m
  27. Segment(K, J) → p
  28. Segment(I, L) → q
  29. Segment(L, J) → n
  30. Segment(L, J) → r
  31. Mirror(afbeelding5, yAxis) → afbeelding5'
  32. Point(a) → I_1
  33. Point(s) → M_1
  34. Polygon(I_1, J_1, R_1, S_1, T_1, U_1, V_1, W_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, E_1) → veelhoek1, t, m_1, n_1, p_1, q_1, r_1, s_1, t_1, e, f_1, g_1, h_1, i_1, j_1, k_1, l_1
  35. Polygon(A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2) → veelhoek2, a_2, j_2, b_2, c_2, d_2, e_2, f_2, g_2, h_2, i_2
  36. Mirror(A_2, yAxis) → K_2
  37. Mirror(B_2, yAxis) → L_2
  38. Mirror(C_2, yAxis) → M_2
  39. Mirror(D_2, yAxis) → N_2
  40. Mirror(E_2, yAxis) → O_2
  41. Mirror(F_2, yAxis) → P_2
  42. Mirror(G_2, yAxis) → Q_2
  43. Mirror(H_2, yAxis) → R_2
  44. Mirror(I_2, yAxis) → S_2
  45. Mirror(J_2, yAxis) → T_2
  46. Polygon(K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2) → veelhoek2', k_2, t_2, l_2, m_2, n_2, o_2, p_2, q_2, r_2, s_2
  47. Polygon(U_2, V_2, W_2, Z_2, A_3, B_3, C_3) → veelhoek3, u_2, v_2, w_2, z_2, a_3, b_3, c_3
  48. Vector(D_3, E_3) → u
  49. Translate(U_2, u) → F_3
  50. Translate(V_2, u) → G_3
  51. Translate(W_2, u) → H_3
  52. Translate(Z_2, u) → I_3
  53. Translate(A_3, u) → J_3
  54. Translate(B_3, u) → K_3
  55. Translate(C_3, u) → L_3
  56. Polygon(F_3, G_3, H_3, I_3, J_3, K_3, L_3) → veelhoek3', f_3, g_3, h_3, i_3, j_3, k_3, l_3
  57. Translate(U_2, Vector[(-u)]) → M_3
  58. Translate(V_2, Vector[(-u)]) → N_3
  59. Translate(W_2, Vector[(-u)]) → O_3
  60. Translate(Z_2, Vector[(-u)]) → P_3
  61. Translate(A_3, Vector[(-u)]) → Q_3
  62. Translate(B_3, Vector[(-u)]) → R_3
  63. Translate(C_3, Vector[(-u)]) → S_3
  64. Polygon(M_3, N_3, O_3, P_3, Q_3, R_3, S_3) → veelhoek3'_1, m_3, n_3, o_3, p_3, q_3, r_3, s_3