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Create a Clown Face with Pink Quadrilaterals

Create a Clown Face with Pink Quadrilaterals
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2013-10-30 22:24
Polygon
In collections Elementary Geometry
This example demonstrates how to draw a clown's face using pink quadrilaterals, involving core math concepts like polygons, geometric transformations, and symmetry. It utilizes commands and objects such as Line, OrthogonalLine, Point, Intersect, Polygon, Circle, LineBisector, Mirror, and Ellipse in GeoGebra. Suitable for middle school and above students to learn geometric constructions and transformations.

GeoGebra Commands & Parameters

  1. Line(D, E) → a
  2. OrthogonalLine(D, a) → b
  3. OrthogonalLine(E, a) → d
  4. Point(d) → F
  5. OrthogonalLine(F, d) → e
  6. Intersect(b, e) → G
  7. Polygon(E, F, G, D) → poly1, e_1, f, g, d_1
  8. Polygon(H, I, 4) → poly2, h, i, j, k, J, K
  9. Circle(T, U) → c_1
  10. Circle(V, U) → f_1
  11. Intersect(c_1, f_1, 2) → W
  12. Polygon(T, U, V, W) → poly5, t_1, u, v, w
  13. Circle(Z, A_1) → g_1
  14. Circle(A_1, Z) → h_1
  15. Point(h_1) → B_1
  16. Circle(B_1, A_1) → k_1
  17. Intersect(g_1, k_1, 2) → C_1
  18. Polygon(Z, C_1, B_1, A_1) → poly6, z, c_2, b_1, a_1
  19. LineBisector(S, R) → r
  20. Mirror(D_1, r) → E_1
  21. Polygon(R, S, E_1, D_1) → poly4, r_1, s, e_2, d_2
  22. Line(F_1, G_1) → q
  23. Line(H_1, q) → t
  24. Line(F_1, H_1) → i_1
  25. Line(G_1, i_1) → j_1
  26. Intersect(t, j_1) → I_1
  27. Polygon(F_1, G_1, I_1, H_1) → poly7, f_2, g_2, i_2, h_2
  28. Polygon(J_1, P, Q, K_1) → poly8, j_2, p_1, q_1, k_2
  29. Line(D_2, E_2) → a_2
  30. OrthogonalLine(D_2, a_2) → b_2
  31. OrthogonalLine(E_2, a_2) → d_4
  32. Point(d_4) → F_2
  33. OrthogonalLine(F_2, d_4) → e_4
  34. Intersect(b_2, e_4) → G_2
  35. Polygon(E_2, F_2, G_2, D_2) → poly1_1, e_3, f_3, g_3, d_3
  36. Circle(Z_1, A_2) → g_4
  37. Circle(A_2, Z_1) → h_3
  38. Point(h_3) → B_2
  39. Circle(B_2, A_2) → k_3
  40. Intersect(g_4, k_3, 2) → C_2
  41. Polygon(Z_1, C_2, B_2, A_2) → poly6_1, z_1, c_3, b_3, a_3
  42. Polygon(H_2, I_2, 4) → poly2_1, h_4, i_3, j_3, k_4, J_2, K_2
  43. LineBisector(S_1, R_1) → r_3
  44. Mirror(D_3, r_3) → E_3
  45. Polygon(R_1, S_1, E_3, D_3) → poly4_1, r_2, s_1, e_5, d_5
  46. Line(F_3, G_3) → q_2
  47. Line(H_3, q_2) → t_2
  48. Line(F_3, H_3) → i_5
  49. Line(G_3, i_5) → j_4
  50. Intersect(t_2, j_4) → I_3
  51. Polygon(F_3, G_3, I_3, H_3) → poly7_1, f_4, g_5, i_4, h_5
  52. Circle(T_1, U_1) → c_4
  53. Circle(V_1, U_1) → f_5
  54. Intersect(c_4, f_5, 2) → W_1
  55. Polygon(T_1, U_1, V_1, W_1) → poly5_1, t_3, u_1, v_1, w_1
  56. Polygon(J_3, P_1, Q_1, K_3) → poly8_1, j_5, p_2, q_3, k_5
  57. Ellipse(A, B, C) → c

AI Drawing Prompt Reference

Draw a clown face using pink quadrilaterals, incorporating symmetry and geometric transformations. Start by creating basic quadrilaterals and lines, then add circles and ellipses for decoration, and finally use mirroring and reflection to achieve symmetry in the design.
The prompt above was compiled from the original drawing commands and is for reference only.