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Rotation Logo X

Rotation Logo X
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2020-01-19 16:34
PolygonVectorTrigonometryTransformationGeometric Construction
This example demonstrates the construction of a rotating logo. Key mathematical concepts include rotation, ellipse, and trigonometric functions. Using GeoGebra commands such as Polygon, Intersect, Vector, Rotate, Translate, and Sequence, a dynamic rotating logo can be constructed. Suitable for high school mathematics education, particularly in coordinate geometry and transformation.

GeoGebra Commands & Parameters

  1. Polygon(K, L, M, N, O, P, Q, R) → polígono1, k, l, m, n, o, p, q, r
  2. Intersect(xAxis, yAxis) → C
  3. Vector(C, D) → u
  4. Rotate(K, individual, Q) → K'
  5. Rotate(L, individual, Q) → L'
  6. Rotate(M, individual, Q) → M'
  7. Rotate(N, individual, Q) → N'
  8. Rotate(O, individual, Q) → O'
  9. Rotate(P, individual, Q) → P'
  10. Rotate(Q, individual, Q) → Q'
  11. Rotate(R, individual, Q) → R'
  12. Polygon(K', L', M', N', O', P', Q', R') → polígono2, k', l', m', n', o', p', q', r'
  13. Translate(K', u) → K''
  14. Translate(L', u) → L''
  15. Translate(M', u) → M''
  16. Translate(N', u) → N''
  17. Translate(O', u) → O''
  18. Translate(P', u) → P''
  19. Translate(Q', u) → Q''
  20. Translate(R', u) → R''
  21. Polygon(K'', L'', M'', N'', O'', P'', Q'', R'') → polígono3, k'', l'', m'', n'', o'', p'', q'', r''
  22. Sequence(Polygon[Rotate[K'', ((i * 360) * ° / número)], Rotate[L'', ((i * 360) * ° / número)], Rotate[M'', ((i * 360) * ° / número)], Rotate[N'', ((i * 360) * ° / número)], Rotate[O'', ((i * 360) * ° / número)], Rotate[P'', ((i * 360) * ° / número)], Rotate[Q'', ((i * 360) * ° / número)], Rotate[R'', ((i * 360) * ° / número)]], i, 1, número) → lista_1