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Slide 4

Slide 4
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2014-04-06 11:03
PolygonVectorGeometric Construction
In collections Phebe Tanner Tessellation Rotation
This example demonstrates how to use GeoGebra to draw vectors and polygons. It involves key mathematical concepts such as vector and polygon construction. By using commands like Polygon, Segment, Rotate, dynamic geometric shapes can be created. Suitable for secondary school geometry education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, a, b, c, C
  2. Segment(B, D) → d
  3. Segment(D, E) → e
  4. Segment(E, F) → f
  5. Segment(F, G) → g
  6. Segment(G, H) → h
  7. Segment(H, I) → i
  8. Segment(I, J) → j
  9. Segment(J, K) → k
  10. Segment(K, L) → l
  11. Segment(L, M) → m
  12. Segment(M, N) → n
  13. Segment(N, O) → p
  14. Segment(O, P) → q
  15. Segment(P, Q) → r
  16. Segment(Q, R) → s
  17. Segment(R, S) → t
  18. Segment(S, T) → a_1
  19. Segment(T, U) → b_1
  20. Segment(U, V) → c_1
  21. Segment(V, W) → d_1
  22. Segment(W, Z) → e_1
  23. Segment(Z, A_1) → f_1
  24. Segment(A_1, B_1) → g_1
  25. Segment(B_1, C) → h_1
  26. Rotate(B, 60*°, B) → B'
  27. Rotate(D, 60*°, B) → D'
  28. Segment(B', D') → d'
  29. Rotate(D, 60*°, B) → D'_1
  30. Rotate(E, 60*°, B) → E'
  31. Segment(D'_1, E') → e'
  32. Rotate(E, 60*°, B) → E'_1
  33. Rotate(F, 60*°, B) → F'
  34. Segment(E'_1, F') → f'
  35. Rotate(F, 60*°, B) → F'_1
  36. Rotate(G, 60*°, B) → G'
  37. Segment(F'_1, G') → g'
  38. Rotate(G, 60*°, B) → G'_1
  39. Rotate(H, 60*°, B) → H'
  40. Segment(G'_1, H') → h'
  41. Rotate(H, 60*°, B) → H'_1
  42. Rotate(I, 60*°, B) → I'
  43. Segment(H'_1, I') → i'
  44. Rotate(I, 60*°, B) → I'_1
  45. Rotate(J, 60*°, B) → J'
  46. Segment(I'_1, J') → j'
  47. Rotate(J, 60*°, B) → J'_1
  48. Rotate(K, 60*°, B) → K'
  49. Segment(J'_1, K') → k'
  50. Rotate(K, 60*°, B) → K'_1
  51. Rotate(L, 60*°, B) → L'
  52. Segment(K'_1, L') → l'
  53. Rotate(L, 60*°, B) → L'_1
  54. Rotate(M, 60*°, B) → M'
  55. Segment(L'_1, M') → m'
  56. Rotate(M, 60*°, B) → M'_1
  57. Rotate(N, 60*°, B) → N'
  58. Segment(M'_1, N') → n'
  59. Rotate(N, 60*°, B) → N'_1
  60. Rotate(O, 60*°, B) → O'
  61. Segment(N'_1, O') → p'
  62. Rotate(O, 60*°, B) → O'_1
  63. Rotate(P, 60*°, B) → P'
  64. Segment(O'_1, P') → q'
  65. Rotate(P, 60*°, B) → P'_1
  66. Rotate(Q, 60*°, B) → Q'
  67. Segment(P'_1, Q') → r'
  68. Rotate(Q, 60*°, B) → Q'_1
  69. Rotate(R, 60*°, B) → R'
  70. Segment(Q'_1, R') → s'
  71. Rotate(R, 60*°, B) → R'_1
  72. Rotate(S, 60*°, B) → S'
  73. Segment(R'_1, S') → t'
  74. Rotate(S, 60*°, B) → S'_1
  75. Rotate(T, 60*°, B) → T'
  76. Segment(S'_1, T') → i_1
  77. Rotate(T, 60*°, B) → T'_1
  78. Rotate(U, 60*°, B) → U'
  79. Segment(T'_1, U') → j_1
  80. Rotate(U, 60*°, B) → U'_1
  81. Rotate(V, 60*°, B) → V'
  82. Segment(U'_1, V') → k_1
  83. Rotate(V, 60*°, B) → V'_1
  84. Rotate(W, 60*°, B) → W'
  85. Segment(V'_1, W') → l_1
  86. Rotate(W, 60*°, B) → W'_1
  87. Rotate(Z, 60*°, B) → Z'
  88. Segment(W'_1, Z') → m_1
  89. Rotate(Z, 60*°, B) → Z'_1
  90. Rotate(A_1, 60*°, B) → C_1
  91. Segment(Z'_1, C_1) → n_1
  92. Rotate(A_1, 60*°, B) → D_1
  93. Rotate(B_1, 60*°, B) → E_1
  94. Segment(D_1, E_1) → p_1
  95. Rotate(B_1, 60*°, B) → F_1
  96. Rotate(C, 60*°, B) → C'
  97. Segment(F_1, C') → q_1

AI Drawing Prompt Reference

Draw a 12-sided polygon by rotating each vertex 60 degrees. Start with a hexagon, then rotate each vertex 60 degrees around a fixed point to generate new vertices, connect these new vertices to form another hexagon, and repeat this process until all vertices are generated and connected.
The prompt above was compiled from the original drawing commands and is for reference only.