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Symmetry Pattern 02

Symmetry Pattern 02
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2016-01-10 07:29
TrigonometrySequenceGeometric Construction
This example demonstrates the creation of complex patterns using symmetry. It involves core mathematical concepts like symmetry, sequences, and geometric transformations. Construction highlights include using commands like Line, Mirror, and Segment to create points and their symmetric counterparts A' to J'. Suitable for high school mathematics education to understand symmetry and geometric constructions.

GeoGebra Commands & Parameters

  1. Line(P, Q) → a
  2. Mirror(A, a) → A'
  3. Mirror(B, a) → B'
  4. Mirror(C, a) → C'
  5. Mirror(D, a) → D'
  6. Mirror(E, a) → E'
  7. Mirror(F, a) → F'
  8. Mirror(G, a) → G'
  9. Mirror(H, a) → H'
  10. Mirror(I, a) → I'
  11. Mirror(J, a) → J'
  12. Segment(A, B) → b
  13. Segment(B, C) → c
  14. Segment(C, D) → d
  15. Segment(D, E) → e
  16. Segment(E, F) → f
  17. Segment(F, G) → g
  18. Segment(G, H) → h
  19. Segment(H, I) → i
  20. Segment(I, J) → j
  21. Segment(A', B') → k
  22. Segment(B', C') → l
  23. Segment(C', D') → m
  24. Segment(D', E') → n
  25. Segment(E', F') → p
  26. Segment(F', G') → q
  27. Segment(G', H') → r
  28. Segment(H', I') → s
  29. Segment(I', J') → t
  30. Line(D, i) → a_1
  31. Line(F, a) → b_1
  32. Line(B, i) → c_1
  33. Line(G, i) → d_1
  34. Line(D, a) → e_1