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球面Voronoi图

球面Voronoi图
几何画板及绘图内容加载中，请稍等……
2020-01-09 17:25
三角函数立体几何概率统计几何作图函数图像
所属专题 Color 3D surfaces
①本范例演示在球面上生成Voronoi图，展示空间点划分球面的几何形态；②涉及核心数学概念包括球面几何、空间分割、条件概率；③构造要点使用GeoGebra命令 Sphere 创建球体，通过对象 R, R_1, A1 至 A36 等定义球面上的点并生成Voronoi区域；④适合高中及以上学生及空间几何爱好者学习，可用于理解多面体划分与空间概率分布。

GeoGebra 命令及参数

  1. Sphere(B1, r) → C1
  2. Sphere(B2, r) → C2
  3. Sphere(B3, r) → C3
  4. Sphere(B4, r) → C4
  5. Sphere(B5, r) → C5
  6. Sphere(B6, r) → C6
  7. Sphere(B7, r) → C7
  8. Sphere(B8, r) → C8
  9. Sphere(B9, r) → C9
  10. Sphere(B10, r) → C10
  11. Sphere(B11, r) → C11
  12. Sphere(B12, r) → C12
  13. Sphere(B13, r) → C13
  14. Sphere(B14, r) → C14
  15. Sphere(B15, r) → C15
  16. Sphere(B16, r) → C16
  17. Sphere(B17, r) → C17
  18. Sphere(B18, r) → C18
  19. Sphere(B19, r) → C19
  20. Sphere(B20, r) → C20
  21. Sphere(B21, r) → C21
  22. Sphere(B22, r) → C22
  23. Sphere(B23, r) → C23
  24. Sphere(B24, r) → C24
  25. Sphere(B25, r) → C25
  26. Sphere(B26, r) → C26
  27. Sphere(B27, r) → C27
  28. Sphere(B28, r) → C28
  29. Sphere(B29, r) → C29
  30. Sphere(B30, r) → C30
  31. Sphere(B31, r) → C31
  32. Sphere(B32, r) → C32
  33. Sphere(B33, r) → C33
  34. Sphere(B34, r) → C34
  35. Sphere(B35, r) → C35
  36. Sphere(B36, r) → C36
  37. Sphere(B37, r) → C37
  38. Sphere(B38, r) → C38
  39. Sphere(B39, r) → C39
  40. Sphere(B40, r) → C40
  41. Sphere(B41, r) → C41
  42. Sphere(B42, r) → C42
  43. Sphere(B43, r) → C43
  44. Sphere(B44, r) → C44
  45. Sphere(B45, r) → C45
  46. Sphere(B46, r) → C46
  47. Sphere(B47, r) → C47
  48. Sphere(B48, r) → C48
  49. Sphere(B49, r) → C49
  50. Sphere(B50, r) → C50
  51. Sphere(B51, r) → C51
  52. Sphere(B52, r) → C52
  53. Sphere(B53, r) → C53
  54. Sphere(B54, r) → C54
  55. Sphere(B55, r) → C55
  56. Sphere(B56, r) → C56
  57. Sphere(B57, r) → C57
  58. Sphere(B58, r) → C58
  59. Sphere(B59, r) → C59
  60. Sphere(B60, r) → C60
  61. Sphere(B61, r) → C61
  62. Sphere(B62, r) → C62
  63. Sphere(B63, r) → C63
  64. Sphere(B64, r) → C64
  65. Sphere(B65, r) → C65
  66. Sphere(B66, r) → C66
  67. Sphere(B67, r) → C67
  68. Sphere(B68, r) → C68
  69. Sphere(B69, r) → C69
  70. Sphere(B70, r) → C70
  71. Sphere(B71, r) → C71
  72. Sphere(B72, r) → C72
  73. Sphere(B73, r) → C73
  74. Sphere(B74, r) → C74
  75. Sphere(B75, r) → C75
  76. Sphere(B76, r) → C76
  77. Sphere(B77, r) → C77
  78. Sphere(B78, r) → C78
  79. Sphere(B79, r) → C79
  80. Sphere(B80, r) → C80
  81. Sphere(B81, r) → C81
  82. Sphere(B82, r) → C82
  83. Sphere(B83, r) → C83
  84. Sphere(B84, r) → C84
  85. Sphere(B85, r) → C85
  86. Sphere(B86, r) → C86
  87. Sphere(B87, r) → C87
  88. Sphere(B88, r) → C88
  89. Sphere(B89, r) → C89
  90. Sphere(B90, r) → C90
  91. Sphere(B91, r) → C91
  92. Sphere(B92, r) → C92
  93. Sphere(B93, r) → C93
  94. Sphere(B94, r) → C94
  95. Sphere(B95, r) → C95
  96. Sphere(B96, r) → C96
  97. Sphere(B97, r) → C97
  98. Sphere(B98, r) → C98
  99. Sphere(B99, r) → C99
  100. Sphere(B100, r) → C100
  101. Sphere(B101, r) → C101
  102. Sphere(O, R_1 + r) → a

AI 绘图提示语参考

绘制一个球面上的Voronoi图，首先在球面上随机放置36个点，然后基于这些点生成Voronoi区域。首先创建36个球体，每个球体的半径相同，球心分别为这36个点。
以上提示语为根据原始绘图命令整理而来，仅供参考。