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Step 4: Rotation Tessellation

Step 4: Rotation Tessellation
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2014-04-03 09:37
PolygonGeometric Construction
In collections Rotation Tessellation
This example demonstrates the construction of a rotation tessellation pattern through rotation. Key math concepts include rotation, polygon construction, isosceles triangles, and probability & variance. GeoGebra commands used are Polygon, Segment, Rotate, and Midpoint. Suitable for high school mathematics teaching to understand transformations and fractal geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, a, b, c, C
  2. Segment(A, D) → d
  3. Segment(D, E) → e
  4. Segment(E, F) → f
  5. Segment(F, G) → g
  6. Segment(G, H) → h
  7. Segment(H, I) → i
  8. Segment(I, B) → j
  9. Rotate(A, 300*°, B) → A'
  10. Rotate(D, 300*°, B) → D'
  11. Segment(A', D') → d'
  12. Rotate(D, 300*°, B) → D'_1
  13. Rotate(E, 300*°, B) → E'
  14. Segment(D'_1, E') → e'
  15. Rotate(E, 300*°, B) → E'_1
  16. Rotate(F, 300*°, B) → F'
  17. Segment(E'_1, F') → f'
  18. Rotate(F, 300*°, B) → F'_1
  19. Rotate(G, 300*°, B) → G'
  20. Segment(F'_1, G') → g'
  21. Rotate(G, 300*°, B) → G'_1
  22. Rotate(H, 300*°, B) → H'
  23. Segment(G'_1, H') → h'
  24. Rotate(H, 300*°, B) → H'_1
  25. Rotate(I, 300*°, B) → I'
  26. Segment(H'_1, I') → i'
  27. Rotate(I, 300*°, B) → I'_1
  28. Rotate(B, 300*°, B) → B'
  29. Segment(I'_1, B') → j'
  30. Midpoint(A, C) → J

AI Drawing Prompt Reference

Draw a rotation tessellation pattern by starting with a triangle, connecting its vertices to form a hexagon, then rotating the triangle 300 degrees around one vertex and connecting the rotated vertices to the original ones, repeating this process multiple times to create a symmetric pattern, and finally marking the midpoint of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.