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Logo of America West Airlines

Logo of America West Airlines
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2019-12-18 00:27
CircleVectorGeometric Construction
This example demonstrates how to draw the logo of America West Airlines using GeoGebra. Key mathematical concepts include similarity transformation and vectors. Commands such as LineBisector, Vector, OrthogonalVector, Intersect are used to construct the various parts of the logo. Suitable for high school mathematics education and learning about similarity transformation and vectors.

GeoGebra Commands & Parameters

  1. LineBisector(A, B) → m
  2. Vector(A, B) → u
  3. OrthogonalVector(u) → v
  4. LineBisector(A, C) → d
  5. Intersect(m, d) → E
  6. Midpoint(C, A) → J
  7. Line(A, B) → s
  8. OrthogonalLine(A, s) → b
  9. OrthogonalLine(C, v, xOyPlane) → f
  10. Intersect(f, m) → U
  11. OrthogonalLine(B, u, xOyPlane) → g
  12. Intersect(g, f) → D
  13. Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3
  14. OrthogonalLine(F, b) → h
  15. Mirror(G, m) → G'
  16. Line(F, G) → i
  17. Line(H, i) → j
  18. OrthogonalLine(G, s) → k
  19. Intersect(k, j) → I
  20. Mirror(I, m) → I'
  21. Mirror(F, m) → F'
  22. Mirror(H, m) → H'
  23. Polygon(F, H, I, L, K, G) → poly1, f_1, h_1, i_1, l, k_1, g_1
  24. Line(M, i_1) → n
  25. Line(N, n) → p
  26. Circle(N, O, xOyPlane) → c
  27. Mirror(F, m) → F'_1
  28. Mirror(H, m) → H'_1
  29. Mirror(I, m) → I'_1
  30. Mirror(L, m) → L'
  31. Mirror(K, m) → K'
  32. Mirror(G, m) → G'_1
  33. Polygon(F'_1, H'_1, I'_1, L', K', G'_1) → poly1', f'_1, h'_1, i'_1, l', k', g'_1
  34. Intersect(p, c) → P, Q
  35. Intersect(n, c) → R, S
  36. Line(T, p) → q
  37. Intersect(q, c) → V, W
  38. Polygon(T, N, P, W) → q1, t, n_1, p_1, w
  39. Mirror(q1, m) → q1'
  40. Intersect(i_1, c) → Z, A_1
  41. Polygon(R, A_1, L, M) → q2, r, a_1, l_1, m_1
  42. Mirror(q2, m) → q2'