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Animation of Tessellation with Square and Rectangle

Animation of Tessellation with Square and Rectangle
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2014-09-27 05:18
TransformationGeometric ConstructionSlider Animation
This example demonstrates the tessellation of squares and rectangles through translation symmetry. Key mathematical concepts include translation symmetry and slider animation. By creating a slider and inserting points, the dynamic changes in the symmetric figures are shown. The OrthogonalLine command is used to construct the axes of symmetry. Suitable for students at the middle school level and above, focusing on geometric transformations.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, a) → d
  2. OrthogonalLine(B, b) → e
  3. OrthogonalLine(C, b) → f
  4. OrthogonalLine(D, a) → g
  5. OrthogonalLine(E, a) → h
  6. OrthogonalLine(F, a) → i
  7. OrthogonalLine(G, b) → j
  8. OrthogonalLine(H, b) → k
  9. OrthogonalLine(I, a) → l
  10. OrthogonalLine(J, a) → m
  11. OrthogonalLine(K, b) → n
  12. OrthogonalLine(L, b) → p
  13. OrthogonalLine(M, a) → q
  14. OrthogonalLine(N, a) → r
  15. OrthogonalLine(O, b) → s
  16. OrthogonalLine(P, b) → t
  17. OrthogonalLine(Q, a) → a_1
  18. OrthogonalLine(R, b) → b_1
  19. OrthogonalLine(S, a) → c_1
  20. OrthogonalLine(T, b) → d_1
  21. OrthogonalLine(U, a) → e_1
  22. OrthogonalLine(V, b) → f_1
  23. OrthogonalLine(W, a) → g_1
  24. OrthogonalLine(X, b) → h_1

AI Drawing Prompt Reference

Draw a tessellation pattern using squares and rectangles with translation symmetry. Start by creating horizontal and vertical lines as symmetry axes. Then, use these axes to generate a repeating pattern of squares and rectangles. Adjust the pattern size and position using a slider to observe dynamic changes in the pattern.
The prompt above was compiled from the original drawing commands and is for reference only.