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Google Drive Logo Geometric Construction

Google Drive Logo Geometric Construction
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2019-09-17 00:09
PolygonVectorGeometric Construction
This example demonstrates how to construct the geometric shape of the Google Drive Logo using GeoGebra. The core mathematical concepts involved include vectors, polygon construction, rotation, intersection calculation, and orthogonal vectors. Key construction steps are derived from the command summary, utilizing commands such as Vector, Polygon, Line, Centroid, Rotate, Intersect, and OrthogonalVector. It is suitable for high school mathematics teaching, covering geometric constructions, vector operations, and rotational transformations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Polygon(A, B, 3) → poly1, f, g, h, C
  3. Line(D, g) → i
  4. Centroid(poly1) → E
  5. Rotate(i, 120°, E) → i'
  6. Line(D, i') → l
  7. Rotate(D, 120°, E) → D'
  8. Line(D', u) → j
  9. Rotate(D', 120°, E) → D''
  10. Line(D'', j) → k
  11. Intersect(l, k) → H
  12. Intersect(j, i) → F
  13. Polygon(B, D, F, D') → q1, b, d, f_1, d'
  14. Rotate(B, 120°, E) → B'
  15. Rotate(D, 120°, E) → D'_1
  16. Rotate(F, 120°, E) → F'
  17. Rotate(D', 120°, E) → D''_1
  18. Polygon(B', D'_1, F', D''_1) → q1', b', d'_1, f', d''_1
  19. Intersect(k, i) → G
  20. Polygon(A, D'', H, D) → q2, m, n, p, q
  21. OrthogonalVector(u) → v
  22. Line(I, u) → r
  23. Intersect(r, i) → J
  24. Intersect(r, g) → K
  25. Polygon(K, J, D, B) → q3, k_1, j_1, d_1, b_1
  26. Rotate(K, 120°, E) → K'
  27. Rotate(J, 120°, E) → J'
  28. Rotate(D, 120°, E) → D'_2
  29. Rotate(B, 120°, E) → B'_1
  30. Polygon(K', J', D'_2, B'_1) → q3', k', j', d'_2, b'_1
  31. Rotate(K', 120°, E) → K''
  32. Rotate(J', 120°, E) → J''
  33. Rotate(D'_2, 120°, E) → L
  34. Rotate(B'_1, 120°, E) → M
  35. Polygon(K'', J'', L, M) → q3'', k'', j'', l_1, m_1