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Smart Integer Puzzle System

Smart Integer Puzzle System
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2019-08-15 11:52
CircleFunctionTransformationGeometric ConstructionSlider Animation
This example demonstrates a dynamic integer puzzle system based on geometric transformations and symmetry, revealing relationships between shapes and numbers. Core math concepts include addition, area calculation, geometric mean, symmetry, geometric transformations, and linear functions. Construction highlights involve commands like Segment, Point, Circle, Rotate, and Angle in GeoGebra to build complex geometric figures. Suitable for high school and above learners to explore geometric construction techniques and mathematical modeling.

GeoGebra Commands & Parameters

  1. Segment(C, D) → g
  2. Point(g) → F
  3. Circle(F, a) → d
  4. Point(d) → H
  5. Rotate(H, 45°, F) → H'
  6. Rotate(H', 45°, F) → H''
  7. Rotate(H'', 45°, F) → H'''
  8. Rotate(H''', 45°, F) → J
  9. Rotate(J, 45°, F) → J'
  10. Rotate(J', 45°, F) → J''
  11. Rotate(J'', 45°, F) → J'''
  12. Segment(A, B) → f
  13. Point(f) → E
  14. Circle(E, a) → c
  15. Point(c) → G
  16. Rotate(G, 45°, E) → G'
  17. Rotate(G', 45°, E) → G''
  18. Rotate(G'', 45°, E) → G'''
  19. Rotate(G''', 45°, E) → I
  20. Rotate(I, 45°, E) → I'
  21. Rotate(I', 45°, E) → I''
  22. Rotate(I'', 45°, E) → I'''
  23. Angle(G, E, G') → α
  24. Angle(G', E, G'') → β
  25. Angle(G'', E, G''') → γ
  26. Angle(G''', E, I) → δ
  27. Angle(I, E, I') → ε
  28. Angle(I', E, I'') → ζ
  29. Angle(I'', E, I''') → η
  30. Angle(H, F, H') → θ
  31. Angle(H', F, H'') → ι
  32. Angle(H'', F, H''') → κ
  33. Angle(H''', F, J) → λ
  34. Angle(J, F, J') → μ
  35. Angle(J', F, J'') → ν
  36. Angle(J'', F, J''') → ξ
  37. Segment(G, H') → i
  38. Segment(I''', H) → j
  39. Segment(G', H'') → k
  40. Segment(J''', I'') → l
  41. Segment(G'', H''') → m
  42. Segment(J'', I') → n
  43. Segment(G''', J) → p
  44. Segment(J', I) → q