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Rainbow Snake

Rainbow Snake
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2018-10-11 17:42
TrigonometryCoordinate GeometryParametric Equation
This example demonstrates a dynamic rainbow snake. It involves trigonometric functions and parametric equations. Using the CurveCartesian command, a snake-like curve can be constructed. This example is suitable for high school mathematics education, particularly in coordinate geometry and trigonometry.

GeoGebra Commands & Parameters

  1. CurveCartesian((4 * cos((2 * t))) + (5 * cos((5 * t))), (4 * sin((7 * t))) + (3 * sin((4 * t))) + (2 * sin((3 * t))), (2 * sin((3 * t))) + (3 * cos((7 * t))) + (4 * cos((3 * t))), t, 0, (2 * π)) → a
  2. Sphere(a(t + 1 / 70), 1 / 30) → A1
  3. Sphere(a(t + 2 / 70), 2 / 30) → A2
  4. Sphere(a(t + 3 / 70), 3 / 30) → A3
  5. Sphere(a(t + 4 / 70), 4 / 30) → A4
  6. Sphere(a(t + 5 / 70), 5 / 30) → A5
  7. Sphere(a(t + 6 / 70), 6 / 30) → A6
  8. Sphere(a(t + 7 / 70), 7 / 30) → A7
  9. Sphere(a(t + 8 / 70), 8 / 30) → A8
  10. Sphere(a(t + 9 / 70), 9 / 30) → A9
  11. Sphere(a(t + 10 / 70), 10 / 30) → A10
  12. Sphere(a(t + 11 / 70), 11 / 30) → A11
  13. Sphere(a(t + 12 / 70), 12 / 30) → A12
  14. Sphere(a(t + 13 / 70), 13 / 30) → A13
  15. Sphere(a(t + 14 / 70), 14 / 30) → A14
  16. Sphere(a(t + 15 / 70), 15 / 30) → A15
  17. Sphere(a(t + 16 / 70), 16 / 30) → A16
  18. Sphere(a(t + 17 / 70), 17 / 30) → A17
  19. Sphere(a(t + 18 / 70), 18 / 30) → A18
  20. Sphere(a(t + 19 / 70), 19 / 30) → A19
  21. Sphere(a(t + 20 / 70), 20 / 30) → A20
  22. Sphere(a(t + 21 / 70), 21 / 30) → A21
  23. Sphere(a(t + 22 / 70), 22 / 30) → A22
  24. Sphere(a(t + 23 / 70), 23 / 30) → A23
  25. Sphere(a(t + 24 / 70), 24 / 30) → A24
  26. Sphere(a(t + 25 / 70), 25 / 30) → A25
  27. Sphere(a(t + 26 / 70), 26 / 30) → A26
  28. Sphere(a(t + 27 / 70), 27 / 30) → A27
  29. Sphere(a(t + 28 / 70), 28 / 30) → A28
  30. Sphere(a(t + 29 / 70), 29 / 30) → A29
  31. Sphere(a(t + 30 / 70), 30 / 30) → A30