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Rotation Tessellation Step 5

Rotation Tessellation Step 5
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2014-04-03 09:38
PolygonTransformationGeometric Construction
In collections Rotation Tessellation
This example demonstrates the construction of geometric tessellations through rotation. It involves core mathematical concepts like rotation, inequalities, arithmetic, squares, and secant lines. The construction utilizes commands such as Polygon, Segment, Rotate, and Midpoint. It is suitable for high school mathematics education or geometric construction learning.

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
  31. Segment(A, K) → k
  32. Segment(K, L) → l
  33. Segment(L, J) → m

AI Drawing Prompt Reference

Draw a regular triangle and connect its vertices to form a hexagon. Rotate one vertex of the triangle around another vertex by 300 degrees to get new vertices, and connect these new vertices to form another hexagon. Draw line segments connecting the original and new vertices. Mark the midpoint of the triangle. Finally, draw three connected line segments on one side of the triangle to form a small geometric shape.
The prompt above was compiled from the original drawing commands and is for reference only.