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Voronoi Cones

Voronoi Cones
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2020-02-12 20:03
Geometric Construction
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This example demonstrates the generation of Voronoi cones. It involves key mathematical concepts such as geometric construction and Voronoi diagrams. The construction uses the Cone command to create geometric objects, suitable for high school and above students to learn about geometric construction and applications of Voronoi diagrams.

GeoGebra Commands & Parameters

  1. Cone((x(C2), y(C2), -5), C2, 5) → E2_1, F2_1, G2
  2. Cone((x(C2), y(C2), -5), C2, 5) → F2_2, G2_1, H2
  3. Cone((x(C3), y(C3), -5), C3, 5) → E3_1, F3_1, G3
  4. Cone((x(C3), y(C3), -5), C3, 5) → F3_2, G3_1, H3
  5. Voronoi(list1) → graph1
  6. Cone((x(C1), y(C1), (-c)), C1, c) → D1, E1, F1
  7. Cone((x(C2), y(C2), (-c)), C2, c) → D2, E2, F2
  8. Cone((x(C3), y(C3), (-c)), C3, c) → D3, E3, F3
  9. Cone((x(C4), y(C4), (-c)), C4, c) → D4, E4, F4
  10. Cone((x(C5), y(C5), (-c)), C5, c) → D5, E5, F5
  11. Cone((x(C6), y(C6), (-c)), C6, c) → D6, E6, F6
  12. Cone((x(C7), y(C7), (-c)), C7, c) → D7, E7, F7
  13. Cone((x(C8), y(C8), (-c)), C8, c) → D8, E8, F8
  14. Cone((x(C9), y(C9), (-c)), C9, c) → D9, E9, F9
  15. Cone((x(C10), y(C10), (-c)), C10, c) → D10, E10, F10
  16. Cone((x(C11), y(C11), (-c)), C11, c) → D11, E11, F11
  17. Cone((x(C12), y(C12), (-c)), C12, c) → D12, E12, F12
  18. Cone((x(C13), y(C13), (-c)), C13, c) → D13, E13, F13
  19. Cone((x(C14), y(C14), (-c)), C14, c) → D14, E14, F14
  20. Cone((x(C15), y(C15), (-c)), C15, c) → D15, E15, F15
  21. Cone((x(C16), y(C16), (-c)), C16, c) → D16, E16, F16
  22. Cone((x(C17), y(C17), (-c)), C17, c) → D17, E17, F17
  23. Cone((x(C18), y(C18), (-c)), C18, c) → D18, E18, F18

AI Drawing Prompt Reference

Draw a series of cones with their bases centered at points, having a negative height and a cone angle of 5 units. Then generate a Voronoi diagram based on these points.
The prompt above was compiled from the original drawing commands and is for reference only.