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Image Trace Demonstration

Image Trace Demonstration
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2025-08-19 01:35
In collections Teselaciones regulares
This example demonstrates the generation of image traces under rotation and mirror transformations. It involves core mathematical concepts like rotation, equilateral triangles, parallelepipeds, tree diagrams, and division. Construction highlights include GeoGebra commands such as Join, Mirror, Circle, Corner, Segment, and objects like Centro, p1, lista1, etc. Suitable for high school and above mat

GeoGebra Commands & Parameters

  1. Join(Sequence[Rotate[p1, (k * pi / 4)], k, 0, 7]) → lista1
  2. Mirror(p2, xAxis) → p2'
  3. Join(Join[Sequence[Rotate[{p2, p2'}, (k * pi / 2)], k, 0, 3]]) → lista2
  4. Circle((0, 0), 4) → c
  5. Corner(1, 1) → Export_1
  6. Corner(1, 3) → Export_2
  7. Mirror(p3, xAxis) → p3'
  8. Join(Join[{Sequence[Rotate[{p3, p3'}, (k * pi / 2)], k, 0, 1], Sequence[Rotate[{p5}, (k * pi / 2)], k, 0, 3]}]) → lista3
  9. Join(Join[Sequence[Rotate[{p4}, (k * pi / 2)], k, 0, 1]]) → lista4
  10. Mirror(negro01, y = x) → negro01'
  11. Mirror(negro02, y = x) → negro02a
  12. Mirror(negro02a, yAxis) → negro02b
  13. Mirror(negro02, xAxis) → negro02c
  14. Join({Sequence[Rotate[{negro01, negro01'}, (k * pi / 2)], k, 0, 3], negro02, negro02a, negro02b, negro02c}) → negro
  15. Segment(A, B) → f
  16. Segment(C, D) → g
  17. Circle(E, 3) → e
  18. Circle((-2.123121397340915, 0.7660693450522662), 4) → d