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Playing with a Rainbow Dragon

Playing with a Rainbow Dragon
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2019-11-13 12:12
VectorFunctionGeometric Construction
This GeoGebra example demonstrates the flight of a dragon, involving vector, locus, and transformation concepts. Using commands like Polygon, Segment, Vector, and Rotate, the flight path of the dragon is dynamically shown. Suitable for high school mathematics education, particularly in coordinate geometry and vector topics.

GeoGebra Commands & Parameters

  1. Polygon(((-r1), (-r2)), (r1, (-r2)), (r1, r2), ((-r1), r2)) → Box, f, g, h, i
  2. Segment(O, T1) → s0
  3. Segment(T1, T2) → s1
  4. Circle(B, 3) → region
  5. Vector((x1, y1), (xloc, yloc)) → u
  6. Rotate(Translate[pic1, v], angle, O) → pic1'
  7. Circle(O, 1.3) → c
  8. Circle(T1, 1.3 - 1 / n) → c1
  9. Circle(T2, 1.3 - 2 / n) → c2
  10. Circle(T3, 1.3 - 3 / n) → c3
  11. Circle(T4, 1.3 - 4 / n) → c4
  12. Circle(T5, 1.3 - 5 / n) → c5
  13. Circle(T6, 1.3 - 6 / n) → c6
  14. Circle(T7, 1.3 - 7 / n) → c7
  15. Circle(T8, 1.3 - 8 / n) → c8
  16. Circle(T9, 1.3 - 9 / n) → c9
  17. Circle(T10, 1.3 - 10 / n) → c10
  18. Circle(T11, 1.3 - 11 / n) → c11
  19. Circle(T12, 1.3 - 12 / n) → c12
  20. Circle(T13, 1.3 - 13 / n) → c13
  21. Segment(T6, T5) → s6
  22. Segment(T7, T6) → s7
  23. Segment(T8, T7) → s8
  24. Segment(T9, T8) → s9
  25. Segment(T10, T9) → s10
  26. Segment(T11, T10) → s11
  27. Segment(T12, T11) → s12
  28. Segment(T13, T12) → s13
  29. Segment(T2, T1) → s2
  30. Segment(T3, T2) → s3
  31. Segment(T4, T3) → s4
  32. Segment(T5, T4) → s5