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LA CAIXA Logo

LA CAIXA Logo
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2020-04-06 02:33
TriangleVectorCoordinate GeometryGeometric Construction
This example demonstrates how to use GeoGebra to draw the LA CAIXA logo. Key mathematical concepts include ellipses, triangles, and symmetry. Using commands such as Line, OrthogonalLine, Vector, LineBisector, Intersect, Polygon, Mirror, CurveCartesian, and Ellipse, the geometric shape of the logo is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → s
  2. OrthogonalLine(A, s) → b
  3. Vector(A, B) → u
  4. OrthogonalVector(u) → v
  5. OrthogonalLine(F, b) → f
  6. OrthogonalLine(A_1, b) → r
  7. LineBisector(A, B) → m
  8. Intersect(m, f) → E
  9. OrthogonalLine(B, u, xOyPlane) → g
  10. Intersect(g, r) → C
  11. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  12. LineBisector(A_1, A) → h
  13. Mirror(f, h) → f'
  14. OrthogonalLine(D, s) → i
  15. Mirror(i, m) → i'
  16. Intersect(h, b) → G
  17. Intersect(i, f') → J
  18. Mirror(J, m) → J'
  19. Mirror(J, h) → J'_1
  20. Mirror(J', h) → J''
  21. Line(N, O) → j
  22. CurveCartesian(((1 - t)^(3) * S) + (((3 * t) * (1 - t)^(2)) * Z) + (((3 * (1 - t)) * t^(2)) * T) + (t^(3) * M), t, 0, 1) → a
  23. CurveCartesian(((1 - t)^(3) * M) + (((3 * t) * (1 - t)^(2)) * U) + (((3 * (1 - t)) * t^(2)) * W) + (t^(3) * O), t, 0, 1) → d
  24. CurveCartesian(((1 - t)^(3) * O) + (((3 * t) * (1 - t)^(2)) * B_1) + (((3 * (1 - t)) * t^(2)) * V) + (t^(3) * K), t, 0, 1) → e
  25. CurveCartesian(((1 - t)^(3) * P) + (((3 * t) * (1 - t)^(2)) * D_1) + (((3 * (1 - t)) * t^(2)) * C_1) + (t^(3) * K), t, 0, 1) → k
  26. CurveCartesian(((1 - t)^(3) * L) + (((3 * t) * (1 - t)^(2)) * E_1) + (((3 * (1 - t)) * t^(2)) * F_1) + (t^(3) * S), t, 0, 1) → l
  27. CurveCartesian(((1 - t)^(3) * L) + (((3 * t) * (1 - t)^(2)) * G_1) + (((3 * (1 - t)) * t^(2)) * H_1) + (t^(3) * R), t, 0, 1) → n
  28. CurveCartesian(((1 - t)^(3) * H) + (((3 * t) * (1 - t)^(2)) * J_1) + (((3 * (1 - t)) * t^(2)) * K_1) + (t^(3) * R), t, 0, 1) → p
  29. CurveCartesian(((1 - t)^(3) * H) + (((3 * t) * (1 - t)^(2)) * I_1) + (((3 * (1 - t)) * t^(2)) * L_1) + (t^(3) * Q), t, 0, 1) → q
  30. CurveCartesian(((1 - t)^(3) * Q) + (((3 * t) * (1 - t)^(2)) * M_1) + (((3 * (1 - t)) * t^(2)) * N_1) + (t^(3) * N), t, 0, 1) → t
  31. CurveCartesian(((1 - t)^(3) * N) + (((3 * t) * (1 - t)^(2)) * P_1) + (((3 * (1 - t)) * t^(2)) * O_1) + (t^(3) * P), t, 0, 1) → w
  32. Ellipse(R_1, S_1, T_1) → c_1
  33. Ellipse(Z_1, W_1, V_1) → d_1
  34. Polygon(P, O, K) → t1, k_1, p_1, o_1
  35. Polygon(O, S, M) → t2, m_1, o_2, s_1
  36. Polygon(S, L, R) → t3, r_1, s_2, l_1
  37. Polygon(R, H, Q) → t4, q_1, r_2, h_1
  38. Polygon(Q, P, N) → t5, n_1, q_2, p_2
  39. Polygon(R, S, O, P, Q) → poly1, r_3, s_3, o_3, p_3, q_3

AI Drawing Prompt Reference

Draw the LA CAIXA logo by first creating two ellipses, then constructing triangles and polygons using points and lines, and using symmetry and angle bisectors to create other parts. Finally, use curves and polygons to complete the logo's details.
The prompt above was compiled from the original drawing commands and is for reference only.