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Translation Tessellation Example by mikaelpn

Translation Tessellation Example by mikaelpn
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2013-07-17 10:53
PolygonVectorTransformationGeometric Construction
In collections Translation Tessellations
This example demonstrates constructing geometric shapes using translation in GeoGebra. Key math concepts include transformation, polygon construction, and vector application. It utilizes commands like Polygon, Segment, Point, Vector, and Translate as per the construction summary. Suitable for middle school students and above for learning geometric transformations and constructions, or for educational purposes.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Segment(A, E) → e
  3. Segment(F, E) → f
  4. Segment(G, F) → g
  5. Point(a) → H
  6. Segment(H, G) → h
  7. Segment(I, H) → i
  8. Segment(J, I) → j
  9. Segment(K, J) → k
  10. Segment(B, K) → l
  11. Vector(B, C) → u
  12. Translate(A, u) → A'
  13. Translate(B, u) → B'
  14. Segment(A', B') → a'
  15. Translate(A, u) → A'_1
  16. Translate(E, u) → E'
  17. Segment(A'_1, E') → e'
  18. Translate(F, u) → F'
  19. Translate(E, u) → E'_1
  20. Segment(F', E'_1) → f'
  21. Translate(G, u) → G'
  22. Translate(F, u) → F'_1
  23. Segment(G', F'_1) → g'
  24. Translate(H, u) → H'
  25. Translate(G, u) → G'_1
  26. Segment(H', G'_1) → h'
  27. Translate(I, u) → I'
  28. Translate(H, u) → H'_1
  29. Segment(I', H'_1) → i'
  30. Translate(J, u) → J'
  31. Translate(I, u) → I'_1
  32. Segment(J', I'_1) → j'
  33. Translate(K, u) → K'
  34. Translate(J, u) → J'_1
  35. Segment(K', J'_1) → k'
  36. Translate(B, u) → B'_1
  37. Translate(K, u) → K'_1
  38. Segment(B'_1, K'_1) → l'
  39. Segment(D, L) → m
  40. Segment(L, M) → n
  41. Translate(M, Vector[(0, -0.040000000000000036)]) → M'
  42. Segment(M, A) → p

AI Drawing Prompt Reference

Draw a geometric pattern composed of multiple quadrilaterals to demonstrate translation. Start by constructing a quadrilateral, then use a vector to translate it, creating several identical quadrilaterals in sequence to form a continuous design. Finally, connect the vertices of the quadrilateral to the translated vertices, forming a closed geometric structure that illustrates the regularity of translation transformations.
The prompt above was compiled from the original drawing commands and is for reference only.