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Spherical Kite

Spherical Kite
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2019-03-20 15:10
Polygon
This example demonstrates a kite on a sphere. Key mathematical concepts include spherical geometry and polygons. Using commands such as Intersect, Point, Sphere, Plane, IntersectPath, and Polygon, the construction of a spherical kite is illustrated. Suitable for high school students and math enthusiasts to learn about spherical geometry and polygons.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → A
  2. Point(zAxis) → B
  3. Sphere(A, B) → a
  4. Plane(x = 1) → c
  5. Plane(x = -1) → b
  6. Plane(z = 3) → d
  7. IntersectPath(d, b) → f
  8. IntersectPath(c, d) → g
  9. IntersectPath(d, a) → e
  10. IntersectPath(xOyPlane, a) → h
  11. Intersect(f, a, 1) → C
  12. Intersect(g, a, 2) → D
  13. Intersect(yAxis, h, 2) → E
  14. Polygon(B, C, E, D) → q1, b_1, c_1, e_1, d_1
  15. Plane(B, C, A) → i
  16. Plane(B, D, A) → j
  17. IntersectPath(i, a) → k
  18. IntersectPath(j, a) → p
  19. Plane(A, E, C) → l
  20. Plane(A, E, D) → m
  21. IntersectPath(l, a) → q
  22. IntersectPath(m, a) → r

AI Drawing Prompt Reference

Draw a spherical kite. Start by marking the intersection points of two perpendicular axes as the center of a sphere. Then, draw four specific planes and use their intersections with the sphere to construct the kite's four vertices. Finally, connect these vertices to form a kite shape.
The prompt above was compiled from the original drawing commands and is for reference only.