Spiral Alexandra H

Spiral Alexandra H
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2019-05-26 00:53
This example demonstrates the construction of a spiral. Key mathematical concepts include function graphs and vectors. Using GeoGebra commands such as Polygon, Distance, and OrthogonalLine, complex geometric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(C, A, 3) → poligon1, f, g, h, D
  2. Distance(A, h) → distanţăAh
  3. OrthogonalLine(A, h) → i
  4. Intersect(i, h) → B
  5. Segment(A, B) → j
  6. Polygon(A, B, 3) → poligon2, k, l, m, E
  7. Intersect(f, l) → F
  8. Polygon(A, F, 3) → poligon3, n, p, q, G
  9. Intersect(m, p) → H
  10. Polygon(A, H, 3) → poligon4, r, s, t, I
  11. Intersect(q, s) → J
  12. Polygon(A, J, 3) → poligon5, a, b, c, K
  13. Intersect(t, b) → L
  14. Polygon(A, L, 3) → poligon6, d, e, f_1, M
  15. Intersect(c, e) → N
  16. Polygon(A, N, 3) → poligon7, g_1, h_1, i_1, O
  17. Intersect(f_1, h_1) → P
  18. Polygon(A, P, 3) → poligon8, j_1, k_1, l_1, Q
  19. Intersect(i_1, k_1) → R
  20. Polygon(A, R, 3) → poligon9, m_1, n_1, p_1, S
  21. Intersect(l_1, n_1) → T
  22. Polygon(A, T, 3) → poligon10, q_1, r_1, s_1, U
  23. Intersect(p_1, r_1) → V
  24. Polygon(A, V, 3) → poligon11, t_1, a_1, b_1, W
  25. Polygon(C, F, B) → t1, b_2, c_1, f_2
  26. Polygon(F, H, E) → t2, e_1, f_3, h_2
  27. Polygon(H, J, G) → t3, g_2, h_3, j_2
  28. Polygon(L, J, I) → t4, i_2, l_2, j_3
  29. Polygon(N, K, L) → t5, l_3, n_2, k_2
  30. Polygon(P, N, M) → t6, m_2, p_2, n_3
  31. Polygon(O, R, P) → t7, p_3, o, r_2
  32. Polygon(T, Q, R) → t8, r_3, t_2, q_2
  33. Polygon(S, V, T) → t9, t_3, s_2, v
  34. Intersect(s_1, a_1) → Z
  35. Polygon(U, Z, V) → t10, v_1, u, z_1
  36. Point(g) → A_1
  37. Polygon(Z, A_1, W) → t11, w, z_2, d_1
  38. Polygon(A, B, D) → t12, d_2, a_2, b_3
  39. Polygon(B, F, A) → t13, a_3, b_4, f_4
  40. Polygon(F, H, A) → t14, a_4, f_5, h_4
  41. Polygon(A, J, H) → t15, h_5, a_5, j_4
  42. Polygon(A, L, J) → t16, j_5, a_6, l_4
  43. Polygon(A, L, N) → t17, n_4, a_7, l_5
  44. Polygon(A, P, N) → t18, n_5, a_8, p_4
  45. Polygon(A, R, P) → t19, p_5, a_9, r_4
  46. Polygon(T, R, A) → t20, a_{10}, t_4, r_5
  47. Polygon(V, T, A) → t21, a_{11}, v_2, t_5
  48. Polygon(V, Z, A) → t22, a_{12}, v_3, z_3
  49. Polygon(A_1, Z, A) → t23, a_{13}, c_2, z_4
  50. Intersect(d_1, a_{13}) → B_1

AI Drawing Prompt Reference

Draw a spiral pattern consisting of multiple triangles and lines, constructed step-by-step by calculating distances and orthogonal lines. Start from a central point and expand outward, with each triangle sharing a vertex with the previous one and gradually increasing in size. The pattern is made up of nested triangles and connecting segments, forming a complex geometric structure that demonstrates the application of function graphs and vectors.
The prompt above was compiled from the original drawing commands and is for reference only.