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Tessellation from Rectangle (Step 2)

Tessellation from Rectangle (Step 2)
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2013-07-12 06:18
PolygonVectorCoordinate GeometryTransformation
In collections Tessellation from Rectangle using Translation
This example demonstrates how to create a tessellation pattern by rotating and arranging rectangles. It involves core math concepts like polygons, rotation, vectors, and coordinate geometry. Key GeoGebra commands used include Segment, OrthogonalLine, Point, Intersect, Vector, and Translate to construct geometric objects. Suitable for high school mathematics instruction to understand geometric transformations and tessellation patterns.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Point(b) → C
  5. OrthogonalLine(C, b) → d
  6. Intersect(c, d) → D
  7. Segment(C, A) → e
  8. Segment(D, B) → f
  9. Segment(C, D) → g
  10. Segment(A, E) → h
  11. Segment(E, F) → i
  12. Segment(F, G) → j
  13. Segment(G, H) → k
  14. Segment(H, C) → l
  15. Vector(C, D) → u
  16. Translate(C, u) → C'
  17. Translate(A, u) → A'
  18. Segment(C', A') → e'
  19. Translate(A, u) → A'_1
  20. Translate(E, u) → E'
  21. Segment(A'_1, E') → h'
  22. Translate(E, u) → E'_1
  23. Translate(F, u) → F'
  24. Segment(E'_1, F') → i'
  25. Translate(F, u) → F'_1
  26. Translate(G, u) → G'
  27. Segment(F'_1, G') → j'
  28. Translate(G, u) → G'_1
  29. Translate(H, u) → H'
  30. Segment(G'_1, H') → k'
  31. Translate(H, u) → H'_1
  32. Translate(C, u) → C'_1
  33. Segment(H'_1, C'_1) → l'

AI Drawing Prompt Reference

Draw a rectangle and extend two perpendicular lines from its sides, connecting their intersection points to the rectangle's vertices to form two triangles. Then, translate the rectangle along a vector perpendicular to the base of the triangles, repeating the process to create a tessellation pattern of rectangles and triangles, demonstrating geometric transformations and tessellations.
The prompt above was compiled from the original drawing commands and is for reference only.