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Rotation Tessellation Step 6

Rotation Tessellation Step 6
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2014-04-03 09:39
PolygonTrigonometrySolid GeometryTransformationGeometric Construction
In collections Rotation Tessellation
This example demonstrates the construction of a rotation tessellation through geometric transformations. Key math concepts include rotation, polygon creation, midpoint calculation, slope difference, rational numbers, differential equations, and isosceles triangles. The construction utilizes GeoGebra commands such as Polygon, Segment, Rotate, and Midpoint. Suitable for high school students and geometry enthusiasts exploring transformations and tessellations.

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
  34. Rotate(A, 180*°, J) → A'_1
  35. Rotate(K, 180*°, J) → K'
  36. Segment(A'_1, K') → k'
  37. Rotate(K, 180*°, J) → K'_1
  38. Rotate(L, 180*°, J) → L'
  39. Segment(K'_1, L') → l'
  40. Rotate(L, 180*°, J) → L'_1
  41. Rotate(J, 180*°, J) → J'
  42. Segment(L'_1, J') → m'