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Mary Math Example

Mary Math Example
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2018-07-22 06:29
PolygonCalculusGeometric ConstructionSlider AnimationGraphing
In collections Homothety, Rotation Symmetry -RO
This example demonstrates geometric constructions and transformations through polygons, involving core math concepts like polygons, derivatives, logic, and scatter plots. It uses commands like Polygon, Segment, Midpoint, Point, Dilate, Mirror in GeoGebra for geometric constructions and transformations, suitable for high school mathematics learning and exploring applications of geometric transformations and function derivatives.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Segment(A, C) → j
  3. Midpoint(j) → E
  4. Point(j) → F
  5. Polygon(D, E, B, C) → q1, d, e, b, c
  6. Dilate(D, 5 / 6, F) → D'
  7. Dilate(E, 5 / 6, F) → E'
  8. Dilate(B, 5 / 6, F) → B'
  9. Dilate(C, 5 / 6, F) → C'
  10. Polygon(D', E', B', C') → q1', d', e', b', c'
  11. Dilate(D', 5 / 6, F) → D''
  12. Dilate(E', 5 / 6, F) → E''
  13. Dilate(B', 5 / 6, F) → B''
  14. Dilate(C', 5 / 6, F) → C''
  15. Polygon(D'', E'', B'', C'') → q1'', d'', e'', b'', c''
  16. Dilate(D'', 5 / 6, F) → D'''
  17. Dilate(E'', 5 / 6, F) → E'''
  18. Dilate(B'', 5 / 6, F) → B'''
  19. Dilate(C'', 5 / 6, F) → C'''
  20. Polygon(D''', E''', B''', C''') → q1''', d''', e''', b''', c'''
  21. Dilate(D''', 5 / 6, F) → G
  22. Dilate(E''', 5 / 6, F) → H
  23. Dilate(B''', 5 / 6, F) → I
  24. Dilate(C''', 5 / 6, F) → J
  25. Polygon(G, H, I, J) → q2, g_1, h_1, i_1, j_1
  26. Dilate(G, 5 / 6, F) → G'
  27. Dilate(H, 5 / 6, F) → H'
  28. Dilate(I, 5 / 6, F) → I'
  29. Dilate(J, 5 / 6, F) → J'
  30. Polygon(G', H', I', J') → q2', g', h', i', j'
  31. Mirror(D, E) → D'_1
  32. Mirror(E, E) → E'_1
  33. Mirror(B, E) → B'_1
  34. Mirror(C, E) → C'_1
  35. Polygon(D'_1, E'_1, B'_1, C'_1) → q1'_1, d'_1, e'_1, b'_1, c'_1
  36. Mirror(D', E) → D''_1
  37. Mirror(E', E) → E''_1
  38. Mirror(B', E) → B''_1
  39. Mirror(C', E) → C''_1
  40. Polygon(D''_1, E''_1, B''_1, C''_1) → q1''_1, d''_1, e''_1, b''_1, c''_1
  41. Mirror(D'', E) → D'''_1
  42. Mirror(E'', E) → E'''_1
  43. Mirror(B'', E) → B'''_1
  44. Mirror(C'', E) → C'''_1
  45. Polygon(D'''_1, E'''_1, B'''_1, C'''_1) → q1'''_1, d'''_1, e'''_1, b'''_1, c'''_1
  46. Mirror(D''', E) → K
  47. Mirror(E''', E) → L
  48. Mirror(B''', E) → M
  49. Mirror(C''', E) → N
  50. Polygon(K, L, M, N) → q3, k, l, m, n
  51. Mirror(G, E) → G'_1
  52. Mirror(H, E) → H'_1
  53. Mirror(I, E) → I'_1
  54. Mirror(J, E) → J'_1
  55. Polygon(G'_1, H'_1, I'_1, J'_1) → q2'_1, g'_1, h'_1, i'_1, j'_1
  56. Mirror(G', E) → G''
  57. Mirror(H', E) → H''
  58. Mirror(I', E) → I''
  59. Mirror(J', E) → J''
  60. Polygon(G'', H'', I'', J'') → q2'', g'', h'', i'', j''
  61. Dilate(G', 5 / 6, F) → G''_1
  62. Dilate(H', 5 / 6, F) → H''_1
  63. Dilate(I', 5 / 6, F) → I''_1
  64. Dilate(J', 5 / 6, F) → J''_1
  65. Polygon(G''_1, H''_1, I''_1, J''_1) → q2''_1, g''_1, h''_1, i''_1, j''_1
  66. Mirror(G''_1, E) → O
  67. Mirror(H''_1, E) → P
  68. Mirror(I''_1, E) → Q
  69. Mirror(J''_1, E) → R
  70. Polygon(O, P, Q, R) → q4, o, p, q, r
  71. Dilate(G''_1, 5 / 6, F) → S
  72. Dilate(H''_1, 5 / 6, F) → T
  73. Dilate(I''_1, 5 / 6, F) → U
  74. Dilate(J''_1, 5 / 6, F) → V
  75. Polygon(S, T, U, V) → q5, s, t, u, v
  76. Mirror(S, E) → S'
  77. Mirror(T, E) → T'
  78. Mirror(U, E) → U'
  79. Mirror(V, E) → V'
  80. Polygon(S', T', U', V') → q5', s', t', u', v'

AI Drawing Prompt Reference

Draw an initial polygon formed by four points, then repeatedly scale the polygon by its midpoint as the center of dilation, creating new polygons for each iteration. Next, reflect the initial polygon across the midpoint as an axis, generating new shapes for each reflection. The final image should display a series of scaled and mirrored polygons, illustrating geometric transformations and the concept of function derivatives.
The prompt above was compiled from the original drawing commands and is for reference only.