Andrei N 螺旋艺术

Andrei N 螺旋艺术
几何画板及绘图内容加载中,请稍等……
2019-05-26 01:29
这个范例展示了Andrei N创作的螺旋艺术。它涉及抛物线、代数和几何变换等核心数学概念。通过使用GeoGebra命令如Polygon、Midpoint、Intersect、Mirror、Segment等,可以构造出复杂的几何图形。适合高中数学教学和学习,特别是解析几何和几何变换部分。

GeoGebra 命令及参数

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. Midpoint(g) → D
  3. Polygon(A, D, 3) → poly2, i, j, k, E
  4. Intersect(h, j) → F
  5. Polygon(A, F, 3) → poly3, l, m, n, G
  6. Intersect(k, m) → H
  7. Polygon(A, H, 3) → poly4, p, q, r, I
  8. Intersect(n, q) → J
  9. Polygon(A, J, 3) → poly5, s, t, a, K
  10. Intersect(r, t) → L
  11. Polygon(A, L, 3) → poly6, b, c, d, M
  12. Intersect(h, i) → N
  13. Intersect(a, c) → O
  14. Polygon(A, O, 3) → poly7, e, f_1, g_1, P
  15. Intersect(d, f_1) → Q
  16. Polygon(A, Q, 3) → poly8, h_1, i_1, j_1, R
  17. Intersect(g_1, i_1) → S
  18. Polygon(A, S, 3) → poly9, k_1, l_1, m_1, T
  19. Intersect(j_1, l_1) → U
  20. Polygon(A, U, 3) → poly10, n_1, p_1, q_1, V
  21. Intersect(m_1, p_1) → W
  22. Polygon(A, W, 3) → poly11, r_1, s_1, t_1, Z
  23. Intersect(q_1, s_1) → A_1
  24. Polygon(A, A_1, 3) → poly12, a_1, b_1, c_1, B_1
  25. Intersect(b_1, f) → C_1
  26. Polygon(A, C_1, 3) → poly13, d_1, e_1, f_2, D_1
  27. Intersect(i, c_1) → E_1
  28. Intersect(i, e_1) → F_1
  29. Polygon(A, D_1, 3) → poly14, g_2, h_2, i_2, G_1
  30. Intersect(k, p) → H_1
  31. Intersect(k, p) → I_1
  32. Intersect(h_2, k) → J_1
  33. Polygon(A, J_1, 3) → poly15, j_2, k_2, l_2, K_1
  34. Intersect(n, s) → L_1
  35. Intersect(k_2, n) → M_1
  36. Polygon(A, M_1, 3) → poly16, m_2, n_2, p_2, N_1
  37. Intersect(r, b) → O_1
  38. Intersect(r, b) → P_1
  39. Intersect(n_2, r) → Q_1
  40. Polygon(A, Q_1, 3) → poly17, q_2, r_2, s_2, R_1
  41. Mirror(poly1, yAxis) → poly1'
  42. Mirror(poly3, yAxis) → poly3'
  43. Mirror(poly4, yAxis) → poly4'
  44. Mirror(poly5, yAxis) → poly5'
  45. Mirror(poly6, yAxis) → poly6'
  46. Mirror(poly7, yAxis) → poly7'
  47. Mirror(poly8, yAxis) → poly8'
  48. Mirror(poly9, yAxis) → poly9'
  49. Mirror(poly10, yAxis) → poly10'
  50. Mirror(poly11, yAxis) → poly11'
  51. Mirror(poly12, yAxis) → poly12'
  52. Mirror(poly13, yAxis) → poly13'
  53. Mirror(poly14, yAxis) → poly14'
  54. Mirror(poly15, yAxis) → poly15'
  55. Mirror(poly16, yAxis) → poly16'
  56. Mirror(poly17, yAxis) → poly17'
  57. Mirror(A, yAxis) → A'
  58. Mirror(D, yAxis) → D'
  59. Segment(A', D') → i'
  60. Mirror(N, yAxis) → N'
  61. Mirror(F_1, yAxis) → S_1
  62. Mirror(poly1', xAxis) → poly1''
  63. Mirror(poly3', xAxis) → poly3''
  64. Mirror(poly4', xAxis) → poly4''
  65. Mirror(poly5', xAxis) → poly5''
  66. Mirror(poly6', xAxis) → poly6''
  67. Mirror(poly7', xAxis) → poly7''
  68. Mirror(poly8', xAxis) → poly8''
  69. Mirror(poly9', xAxis) → poly9''
  70. Mirror(poly10', xAxis) → poly10''
  71. Mirror(poly11', xAxis) → poly11''
  72. Mirror(poly12', xAxis) → poly12''
  73. Mirror(poly13', xAxis) → poly13''
  74. Mirror(poly14', xAxis) → poly14''
  75. Mirror(poly15', xAxis) → poly15''
  76. Mirror(poly16', xAxis) → poly16''
  77. Mirror(poly17', xAxis) → poly17''
  78. Mirror(A', xAxis) → A''
  79. Mirror(D', xAxis) → D''
  80. Segment(A'', D'') → i''
  81. Mirror(N', xAxis) → N''
  82. Mirror(S_1, xAxis) → T_1
  83. Mirror(poly1'', yAxis) → poly1'''
  84. Mirror(poly3'', yAxis) → poly3'''
  85. Mirror(poly4'', yAxis) → poly4'''
  86. Mirror(poly5'', yAxis) → poly5'''
  87. Mirror(poly6'', yAxis) → poly6'''
  88. Mirror(poly7'', yAxis) → poly7'''
  89. Mirror(poly8'', yAxis) → poly8'''
  90. Mirror(poly9'', yAxis) → poly9'''
  91. Mirror(poly10'', yAxis) → poly10'''
  92. Mirror(poly11'', yAxis) → poly11'''
  93. Mirror(poly12'', yAxis) → poly12'''
  94. Mirror(poly13'', yAxis) → poly13'''
  95. Mirror(poly14'', yAxis) → poly14'''
  96. Mirror(poly15'', yAxis) → poly15'''
  97. Mirror(poly16'', yAxis) → poly16'''
  98. Mirror(poly17'', yAxis) → poly17'''
  99. Mirror(A'', yAxis) → A'''
  100. Mirror(D'', yAxis) → D'''
  101. Segment(A''', D''') → i'''
  102. Mirror(N'', yAxis) → N'''
  103. Mirror(T_1, yAxis) → U_1

AI 绘图提示语参考

绘制一个由多个三角形组成的螺旋图案,每个三角形通过与前一个三角形的交点生成。首先绘制一个三角形,然后依次通过与前一个三角形的交点生成新的三角形,直至形成螺旋状。最后,将所有三角形镜像到y轴,形成对称的图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。