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Wallpaper p2 Symmetry Transformation

Wallpaper p2 Symmetry Transformation
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2014-08-04 12:26
VectorFunctionGeometric Construction
This example demonstrates the symmetry transformation of wallpaper p2. Key mathematical concepts include symmetry transformation, vectors, and geometric construction. Using GeoGebra commands such as Point, Midpoint, Vector, and Mirror, the effect of symmetry transformation can be constructed. Suitable for high school geometry education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Midpoint(A, B) → E
  3. Midpoint(B, D) → F
  4. Midpoint(D, C) → G
  5. Midpoint(C, A) → H
  6. Midpoint(C, B) → I
  7. Vector(A, B) → u
  8. Vector(A, C) → v
  9. Vector(C, D) → w
  10. Vector(B, D) → a
  11. Segment(H, F) → b
  12. Segment(E, G) → c
  13. Segment(J, K) → e
  14. Segment(K, L) → f
  15. Segment(K, M) → g
  16. Segment(K, N) → h
  17. Segment(C, B) → j
  18. Mirror(cell1, I) → cell2
  19. Sequence(Translate[Sequence[Translate[tile, Vector[(n * u)]], n, -3, 3], Vector[(m * v)]], m, -3, 3) → tiling