MathPlotAI Logo MathPlotAI

Thiessen Polygons Generated from Sample Points

Thiessen Polygons Generated from Sample Points
Loading the math board and drawing, please wait…
2015-11-20 22:17
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to generate Thiessen Polygons based on a set of sample points. It involves core mathematical concepts such as polygon construction, vectors, and 2D coordinate geometry. Key GeoGebra commands used include Polygon, Segment, LineBisector, Intersect, and Point. Suitable for high school mathematics teaching or geometric construction learning.

GeoGebra Commands & Parameters

  1. Polygon(C, B, I) → poly1, i, c, b
  2. Polygon(A, B, G) → poly2, g, a_1, b_1
  3. Polygon(I, G, B) → poly3, b_2, i_1, g_1
  4. Polygon(G, H, A) → poly4, a_2, g_2, h
  5. Polygon(E, I, G) → poly5, g_3, e, i_2
  6. Polygon(E, H, G) → poly6, g_4, e_1, h_1
  7. Polygon(F, E, H) → poly7, h_2, f, e_2
  8. Polygon(D, F, E) → poly8, e_3, d, f_1
  9. Polygon(I, D, E) → poly9, e_4, i_3, d_1
  10. Polygon(C, D, I) → poly10, i_4, c_1, d_2
  11. Segment(L, M) → j
  12. Segment(K, L) → k
  13. Segment(K, J) → l
  14. Segment(N, J) → m
  15. Segment(M, N) → n
  16. LineBisector(D, F) → p
  17. LineBisector(D, E) → q
  18. LineBisector(F, E) → r
  19. LineBisector(D, I) → s
  20. LineBisector(E, I) → t
  21. LineBisector(A, H) → j_1
  22. LineBisector(A, G) → k_1
  23. LineBisector(G, H) → l_1
  24. Intersect(j_1, k_1) → O
  25. Intersect(p, q) → P
  26. Intersect(q, s) → Q
  27. LineBisector(F, H) → m_1
  28. LineBisector(H, E) → n_1
  29. Intersect(r, m_1) → R
  30. LineBisector(H, E) → p_1
  31. LineBisector(E, G) → q_1
  32. LineBisector(G, H) → r_1
  33. Intersect(l_1, n_1) → S
  34. LineBisector(H, G) → s_1
  35. LineBisector(H, A) → t_1
  36. LineBisector(A, G) → c_2
  37. LineBisector(B, G) → f_2
  38. LineBisector(G, A) → j_2
  39. LineBisector(A, B) → k_2
  40. Point(m) → T
  41. LineBisector(H, G) → l_2
  42. Segment(R, S) → m_2
  43. Segment(S, O) → n_2
  44. LineBisector(C, B) → p_2
  45. LineBisector(C, I) → q_2
  46. LineBisector(I, B) → r_2
  47. Intersect(p_2, q_2) → U
  48. Segment(P, Q) → s_2
  49. Segment(Q, U) → t_2
  50. LineBisector(G, I) → a_3
  51. Intersect(f_2, r_2) → V
  52. Segment(U, V) → b_3
  53. Segment(R, P) → c_3
  54. LineBisector(E, G) → d_3
  55. LineBisector(G, I) → f_3
  56. LineBisector(I, E) → h_3
  57. Intersect(t, m_1) → W
  58. Segment(R, W) → j_3
  59. Segment(Q, W) → k_3
  60. Segment(W, V) → l_3
  61. LineBisector(H, G) → m_3
  62. LineBisector(G, A) → n_3
  63. Segment(V, O) → p_3
  64. Segment(V, W) → q_3
  65. Segment(V, U) → r_3
  66. Point(i_4) → Z
  67. Segment(Q, Z) → s_3
  68. Intersect(p_2, l) → A_1
  69. Segment(U, A_1) → t_3
  70. Intersect(m_1, e_2) → B_1
  71. Segment(R, B_1) → a_4
  72. Intersect(p, e_3) → C_1
  73. Segment(P, C_1) → b_4
  74. Polygon(M, N, J, K, L) → poly11, m_4, n_4, j_4, k_4, l_4
  75. Polygon(K, A_1, U, Q) → poly12, k_5, a_5, u, q_4
  76. Intersect(k_2, r_2) → D_1
  77. Polygon(D_1, J, A_1, U, V) → poly13, d_4, j_5, a_6, u_1, v
  78. Intersect(t, l_1) → E_1
  79. Polygon(D_1, N, E_1, S, R, W, V) → poly14, d_5, n_5, e_5, s_4, r_4, w, v_1
  80. Polygon(E_1, M, R, S) → poly15, e_6, m_5, r_5, s_5
  81. Polygon(R, W, Q, L) → poly16, r_6, w_1, q_5, l_5
  82. Polygon(W, V, U, Q) → poly17, w_2, v_2, u_2, q_6