Non-Regular Polygons

Non-Regular Polygons
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2014-03-24 09:44
In collections Regular Polygons
This example demonstrates how to dynamically change the shape of polygons. Using GeoGebra commands such as Polygon, Angle, Ray, etc., non-regular polygons can be created and adjusted. Key mathematical concepts include polygons, angles, and vectors. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, K, C, D, E, F, G, H, I, J) → poly1, a, j, k, b, c, d, e, f, g, h, i
  2. Angle(I, H, G) → α
  3. Angle(H, G, F) → β
  4. Angle(G, F, E) → γ
  5. Angle(F, E, D) → δ
  6. Angle(E, D, C) → ε
  7. Angle(D, C, B) → ζ
  8. Angle(C, B, A) → η
  9. Angle(B, A, K) → θ
  10. Angle(A, K, J) → ι
  11. Angle(K, J, I) → κ
  12. Angle(J, I, H) → λ
  13. Ray(H, G) → l
  14. Ray(G, F) → m
  15. Ray(F, E) → n
  16. Ray(E, D) → p
  17. Ray(D, C) → q
  18. Ray(B, A) → r
  19. Ray(C, B) → s
  20. Ray(A, K) → t
  21. Ray(K, J) → a_1
  22. Ray(J, I) → b_1
  23. Ray(I, H) → c_1
  24. Point(b_1) → L
  25. Point(c_1) → M
  26. Point(l) → N
  27. Point(m) → O
  28. Point(n) → P
  29. Point(p) → Q
  30. Point(q) → R
  31. Point(s) → S
  32. Point(r) → T
  33. Point(a_1) → V
  34. Angle(I, J, V) → μ
  35. Angle(H, I, L) → ν
  36. Angle(G, H, M) → ξ
  37. Angle(F, G, N) → ο
  38. Angle(E, F, O) → ρ
  39. Angle(D, E, P) → σ
  40. Angle(C, D, Q) → τ
  41. Angle(B, C, R) → υ
  42. Angle(A, B, S) → ϕ
  43. Angle(K, A, T) → χ
  44. Point(t) → W
  45. Angle(J, K, W) → ψ
  46. Polygon(Z, A_1, B_1, C_1, D_1) → poly2, z, a_2, b_2, c_2, d_1
  47. Ray(A_1, Z) → e_1
  48. Ray(Z, D_1) → f_1
  49. Ray(D_1, C_1) → g_1
  50. Ray(C_1, B_1) → h_1
  51. Ray(B_1, A_1) → i_1
  52. Angle(A_1, Z, D_1) → ω
  53. Angle(Z, D_1, C_1) → α_1
  54. Angle(D_1, C_1, B_1) → β_1
  55. Angle(C_1, B_1, A_1) → γ_1
  56. Angle(B_1, A_1, Z) → δ_1
  57. Point(i_1) → E_1
  58. Point(e_1) → F_1
  59. Point(f_1) → G_1
  60. Point(g_1) → H_1
  61. Point(h_1) → I_1
  62. Angle(C_1, D_1, G_1) → ε_1
  63. Angle(I_1, C_1, H_1) → ζ_1
  64. Angle(A_1, B_1, I_1) → η_1
  65. Angle(Z, A_1, E_1) → θ_1
  66. Angle(D_1, Z, F_1) → ι_1
  67. Polygon(J_1, K_1, L_1) → poly3, l_1, j_1, k_1
  68. Ray(K_1, J_1) → m_1
  69. Ray(J_1, L_1) → n_1
  70. Ray(L_1, K_1) → p_1
  71. Point(p_1) → M_1
  72. Point(m_1) → N_1
  73. Point(n_1) → O_1
  74. Angle(J_1, L_1, K_1) → κ_1
  75. Angle(L_1, K_1, J_1) → λ_1
  76. Angle(K_1, J_1, L_1) → μ_1
  77. Angle(L_1, J_1, N_1) → ν_1
  78. Angle(K_1, L_1, O_1) → ξ_1
  79. Angle(J_1, K_1, M_1) → ο_1

AI Drawing Prompt Reference

Draw an 11-sided polygon with vertices connected by angles and vectors. Start by drawing 11 vertices, then create a polygon using these vertices. Next, draw rays from each vertex and mark the intersections of these rays. Finally, draw another polygon using these intersection points and vertices.
The prompt above was compiled from the original drawing commands and is for reference only.