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Translated Circle Art

Translated Circle Art
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2018-11-14 01:31
CircleVector
This example demonstrates the art of circles created through translation operations. It involves concepts of circles, vectors, and geometric transformations. Using GeoGebra commands such as Sequence, Vector, and Translate, a series of translation transformations are created to form complex patterns. Suitable for students at the middle school level and above to learn about geometric transformations and circle-related knowledge.

GeoGebra Commands & Parameters

  1. Sequence((x - l)^(2) + y^(2) = 1, l, -10, 10, 2) → l1
  2. Sequence((x - l)^(2) + y^(2) = 0.8, l, -10, 10, 2) → l2
  3. Sequence((x - l)^(2) + y^(2) = 0.6, l, -10, 10, 2) → l3
  4. Sequence((x - l)^(2) + y^(2) = 0.4, l, -10, 10, 2) → l4
  5. Sequence((x - l)^(2) + y^(2) = 0.2, l, -10, 10, 2) → l5
  6. Vector(A, B) → u
  7. Translate(l1, u) → l1'
  8. Translate(l2, u) → l2'
  9. Translate(l3, u) → l3'
  10. Translate(l4, u) → l4'
  11. Translate(l5, u) → l5'
  12. Translate(l1', u) → l1''
  13. Translate(l2', u) → l2''
  14. Translate(l3', u) → l3''
  15. Translate(l4', u) → l4''
  16. Translate(l5', u) → l5''
  17. Translate(l1'', u) → l1'''
  18. Translate(l2'', u) → l2'''
  19. Translate(l3'', u) → l3'''
  20. Translate(l4'', u) → l4'''
  21. Translate(l5'', u) → l5'''
  22. Translate(l1''', u) → l6
  23. Translate(l2''', u) → l7
  24. Translate(l3''', u) → l8
  25. Translate(l4''', u) → l9
  26. Translate(l5''', u) → l10
  27. Translate(l6, u) → l6'
  28. Translate(l7, u) → l7'
  29. Translate(l8, u) → l8'
  30. Translate(l9, u) → l9'
  31. Translate(l10, u) → l10'
  32. Translate(l6', u) → l6''
  33. Translate(l7', u) → l7''
  34. Translate(l8', u) → l8''
  35. Translate(l9', u) → l9''
  36. Translate(l10', u) → l10''