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Colored Sphere 4

Colored Sphere 4
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2017-04-23 01:27
CircleSolid GeometrySlider Animation
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This example demonstrates the dynamic changes of a colored sphere. It involves key mathematical concepts such as the geometric properties of a sphere and color transformations. Using the Surface command, multiple spheres are constructed and their positions and colors are adjusted through slider animation. Suitable for high school mathematics education, particularly in coordinate geometry and solid geometry.

GeoGebra Commands & Parameters

  1. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A1, B1) → C1
  2. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A2, B2) → C2
  3. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A3, B3) → C3
  4. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A4, B4) → C4
  5. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A5, B5) → C5
  6. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A6, B6) → C6
  7. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A7, B7) → C7
  8. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A8, B8) → C8
  9. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A9, B9) → C9
  10. Surface((cos(k) * cos(a + sin((8 * k)) / 3)), (cos(k) * sin(a + sin((8 * k)) / 3)), sin(k), k, ((-π)) / 2, π / 2, a, A10, B10) → C10

AI Drawing Prompt Reference

Draw a dynamically changing colored sphere, adjusting its position and color with sliders to demonstrate the geometric properties of the sphere and color transformations, suitable for high school mathematics education involving coordinate and solid geometry.
The prompt above was compiled from the original drawing commands and is for reference only.