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3D Swimming Fish Animation

3D Swimming Fish Animation
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2019-10-07 07:56
VectorTrigonometrySolid GeometryProbability & Statistics
This example demonstrates the dynamic effect and rotational motion of swimming fish in three-dimensional space. It involves core mathematical concepts such as 3D vectors, rotation, sine functions, solid geometry, surfaces, translation, random experiments, equilateral triangles, binomial distribution, logarithms, and probability & statistics. Key GeoGebra commands and objects used in the construction include Surface, Dilate, Vector, Translate, Midpoint, Rotate, and Random. It is suitable for high school students and mathematics enthusiasts studying 3D graphics, vector operations, probability & statistics, and dynamic geometry demonstrations.

GeoGebra Commands & Parameters

  1. Surface(f, (2 * π), xAxis) → a
  2. Dilate(A, If[0 < swimfish ≤ 1, 1 - swimfish, 0], B) → A'
  3. Vector(A, A') → u
  4. Translate(a, u) → a'
  5. Midpoint(A', A' + (π, 0)) → C
  6. Rotate(a', fishtwist, C, Line[C, C + (0, 0, 1)]) → a''
  7. Random(-5, 6) → b
  8. Random(-5, 6) → d
  9. Random(-5, 6) → c
  10. Translate(a'', Vector[(b, c, d)]) → a''_3
  11. Random(-5, 6) → g
  12. Random(-5, 6) → h
  13. Random(-5, 6) → i
  14. Random(-5, 6) → j
  15. Random(-5, 6) → k
  16. Random(-5, 6) → l
  17. Translate(a'', Vector[(j, k, l)]) → a'''_1
  18. Random(-5, 6) → m
  19. Random(-5, 6) → n
  20. Random(-5, 6) → o
  21. Translate(a'', Vector[(m, n, o)]) → a'''_2
  22. Random(-5, 6) → p
  23. Random(-5, 6) → q
  24. Random(-5, 6) → r

AI Drawing Prompt Reference

Create a 3D animation of a swimming fish to demonstrate dynamic effects and rotational motion in space. The fish's body is formed by rotating a surface, and multiple random vector translations simulate the fish's swimming path. The animation includes random vector generation and translation operations to show the fish's movement and rotation.
The prompt above was compiled from the original drawing commands and is for reference only.