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Moving Spherical Spots

Moving Spherical Spots
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2020-05-18 04:33
FunctionCoordinate GeometrySolid Geometry
This example demonstrates moving spherical spots. It involves concepts such as spheres and scatter plots. Using GeoGebra commands like CurveCartesian, Surface, and Sphere, dynamic spherical spots can be constructed. Suitable for high school or university geometry, solid geometry, and function graphing courses.

GeoGebra Commands & Parameters

  1. CurveCartesian(x(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → e
  2. Surface(e, (2 * π), zAxis) → f
  3. CurveCartesian(x(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), z(O) + (R * cos(k)), k, ((-π)) / 2, π / 2) → h
  4. Surface(h, (2 * π), yAxis) → i
  5. CurveCartesian(x(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → j
  6. Surface(j, (2 * π), xAxis) → k
  7. CurveCartesian(x(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) - (((1.2 * R) * sin(k)) * sin(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → l
  8. CurveCartesian(x(O) + (((0.9 * R) * cos(k)) * cos(1 + sin((n * k / m)))), y(O) - (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), z(O) + ((0.9 * R) * cos(k)), k, ((-π)) / 2, π / 2) → o
  9. CurveCartesian(x(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) - ((R * cos(k)) * cos(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → p
  10. CurveCartesian(x(O) - (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), y(O) - (R * cos(k)), z(O) + (((0.95 * R) * cos(k)) * cos(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → q
  11. Surface(l, (2 * π), zAxis) → r
  12. Surface(o, (2 * π), yAxis) → s
  13. CurveCartesian(x(O) + (((0.9 * R) * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), z(O) + ((0.9 * R) * cos(k)), k, ((-π)) / 2, π / 2) → a
  14. Surface(q, (2 * π), xAxis) → b
  15. Sphere(O, (1.15 * R)) → c