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Cats on Ladder by Malin Christersson

Cats on Ladder by Malin Christersson
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2014-02-22 23:35
TransformationGeometric Construction
This example demonstrates the integration of ellipses and geometric transformations. Core math concepts include ellipse, midpoint, mirror, segment, polygon, and inequalities. Construction highlights from the summary involve commands like Intersect, Midpoint, Mirror, Segment, Ellipse, and Polygon in GeoGebra. Suitable for high school and above learners to understand geometric transformations and ellipse properties.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Midpoint(C, D) → A1
  3. Midpoint(A1, C) → A2
  4. Midpoint(A2, C) → A3
  5. Midpoint(A2, B) → A4
  6. Midpoint(B, D) → A5
  7. Midpoint(A5, D) → A6
  8. Midpoint(A5, B) → A7
  9. Mirror(A1, yAxis) → C1
  10. Mirror(A2, yAxis) → C2
  11. Mirror(A3, yAxis) → C3
  12. Mirror(A4, yAxis) → C4
  13. Mirror(A5, yAxis) → C5
  14. Mirror(A6, yAxis) → C6
  15. Mirror(A7, yAxis) → C7
  16. Mirror(B1, yAxis) → D1
  17. Mirror(B2, yAxis) → D2
  18. Mirror(B3, yAxis) → D3
  19. Mirror(B4, yAxis) → D4
  20. Mirror(B5, yAxis) → D5
  21. Mirror(B6, yAxis) → D6
  22. Mirror(B7, yAxis) → D7
  23. Mirror(D, yAxis) → D'
  24. Segment(C, D) → e
  25. Ellipse(E1, F1, G1) → H1
  26. Polygon(F1, G1, 3) → I1, f, h, i, F
  27. Polygon(F2, G2, 3) → I2, m, n, p, H
  28. Polygon(F3, G3, 3) → I3, q, s, a_1, I
  29. Polygon(F4, G4, 3) → I4, b_1, c_1, d_1, J
  30. Polygon(F5, G5, 3) → I5, e_1, f_1, g_1, K
  31. Polygon(F6, G6, 3) → I6, h_1, i_1, j_1, L
  32. Polygon(F7, G7, 3) → I7, k_1, l_1, m_1, M
  33. Polygon(F8, G8, 3) → I8, n_1, p_1, q_1, N
  34. Polygon(F9, G9, 3) → I9, r_1, s_1, t_1, O
  35. Polygon(G1, E1, 3) → N1, j, k, l, G
  36. Polygon(G2, E2, 3) → N2, a_2, b_2, c_2, P
  37. Polygon(G3, E3, 3) → N3, d_2, e_2, f_2, Q
  38. Polygon(G4, E4, 3) → N4, g_2, h_2, i_2, R
  39. Polygon(G5, E5, 3) → N5, j_2, k_2, l_2, S
  40. Polygon(G6, E6, 3) → N6, m_2, n_2, p_2, T
  41. Polygon(G7, E7, 3) → N7, q_2, r_2, s_2, U
  42. Polygon(G8, E8, 3) → N8, t_2, a_3, b_3, V
  43. Polygon(G9, E9, 3) → N9, c_3, d_3, e_3, W
  44. Ellipse(E2, F2, G2) → H2
  45. Ellipse(E3, F3, G3) → H3
  46. Ellipse(E4, F4, G4) → H4
  47. Ellipse(E5, F5, G5) → H5
  48. Ellipse(E6, F6, G6) → H6
  49. Ellipse(E7, F7, G7) → H7
  50. Ellipse(E8, F8, G8) → H8
  51. Ellipse(E9, F9, G9) → H9

AI Drawing Prompt Reference

Draw a cat on a ladder using ellipses and geometric transformations. Start by finding intersection point A on the axes, then use midpoint and mirror operations to generate a series of points. Construct multiple ellipses and polygons with these points to form the ladder and cat shapes. Adjust positions and sizes to ensure the final image is complete and aesthetically pleasing.
The prompt above was compiled from the original drawing commands and is for reference only.