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Ball Structure

Ball Structure
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2023-03-21 12:50
Solid GeometryGeometric Construction
This example demonstrates the structure of a ball. It involves core concepts of spheres, circles, and solid geometry. Using GeoGebra commands such as Intersect, Point, and Sphere, the example constructs sections, reflections, and rotations of the ball. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Sphere(A, B) → a
  4. IntersectPath(f, a) → c
  5. IntersectPath(g, a) → d
  6. IntersectPath(h, a) → e
  7. IntersectPath(p, a) → k
  8. Mirror(e, p) → e'
  9. Mirror(d, p) → d'
  10. Mirror(c, p) → c'
  11. Rotate(d, -90°, yAxis) → d'_{1}
  12. Rotate(e, -90°, yAxis) → e'_{1}
  13. Rotate(c, -90°, yAxis) → c'_{1}
  14. Rotate(k, -90°, yAxis) → k'
  15. Rotate(d, 90°, yAxis) → d'_{2}
  16. Rotate(e, 90°, yAxis) → e'_{2}
  17. Rotate(c, 90°, yAxis) → c'_{2}

AI Drawing Prompt Reference

Draw a ball structure diagram with a sphere, its center, and sections. The sphere is three-dimensional, with sections, reflections, and rotations showing geometric relationships.
The prompt above was compiled from the original drawing commands and is for reference only.