Logo of Factoría de ficción

Logo of Factoría de ficción
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2019-08-27 23:31
This example demonstrates the construction of a logo for Factoría de ficción. Key mathematical concepts include vectors, rotation, and parallelograms. Using GeoGebra commands such as Vector, Rotate, and Polygon, the various components of the logo are constructed. Suitable for high school geometry education, helping students understand vector and geometric transformation concepts.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. Rotate(A, 70°, C) → A'
  4. Line(A', C) → h
  5. Line(H, h) → m
  6. Line(A, m) → t
  7. Line(A, B) → f
  8. Line(S, f) → f_1
  9. Line(C_1, f_1) → r_1
  10. Intersect(r_1, h) → E_1
  11. OrthogonalLine(J, f) → l
  12. Intersect(m, l) → O
  13. Midpoint(H, O) → P
  14. Line(P, f) → a
  15. Intersect(t, a) → Q
  16. Line(I_1, t) → t_1
  17. Intersect(t_1, f_1) → J_1
  18. OrthogonalLine(D, f) → i
  19. Line(Z, h) → s_1
  20. Intersect(s_1, r_1) → E
  21. Intersect(s_1, f_1) → G_1
  22. Intersect(s_1, a) → F_1
  23. OrthogonalLine(M, f) → p
  24. Line(N, f) → b
  25. Intersect(s_1, b) → H_1
  26. Intersect(b, h) → R
  27. Intersect(f_1, t) → T
  28. Intersect(f_1, m) → B_1
  29. Circle(A, B) → c
  30. OrthogonalLine(A, f) → g
  31. Angle(A, C, A') → α
  32. OrthogonalLine(F, f) → j
  33. Intersect(h, j) → G
  34. OrthogonalLine(H, f) → k
  35. Intersect(h, k) → I
  36. OrthogonalLine(C, f) → n
  37. Intersect(m, n) → L
  38. Line(G, f) → q
  39. Intersect(m, g) → K
  40. Line(K, q) → r
  41. Midpoint(K, U) → V
  42. Mirror(G, V) → G'
  43. Polygon(E_1, E, F_1, I_1, J_1, G_1, H_1, R) → poly2, e, h_1, j_1, l_1, m_1, n_1, p_1, q_1
  44. Mirror(I, V) → I'
  45. Polygon(G, U, I', G', K, I) → poly1, g_1, u_1, i', g', k_1, i_1
  46. LineBisector(I, K) → s
  47. Intersect(s, q) → W
  48. CircleArc(W, K, I) → d
  49. Mirror(d, V) → d'
  50. Circle(K_1, D_1) → c_1