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GeoGebra Lion (CUIZON)

GeoGebra Lion (CUIZON)
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2023-02-21 21:09
PolygonCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
In collections Function Arts
① This example demonstrates a creative geometric construction of a lion shape using GeoGebra, combining polygons, segments, and auxiliary objects to form a recognizable figure. ② The core mathematical concepts involved include rectangles, the Pythagorean theorem, combinatorics, and statistical elements such as histograms and distributions, though the primary visual focus is geometric composition. ③ Construction highlights: from the construction summary, numerous named objects (e.g., a, b, g, p, h, q, s, f, t) and auxiliary points (e.g., p_{2}, s_{2}, t_{2}, ad_1) are used, indicating step-by-step creation of points, segments, polygons, and helper objects in GeoGebra, possibly with sliders or parameters to adjust the shape. ④ This is suitable for middle or high school mathematics, geometry drawing activities, or interdisciplinary lessons linking math and art, and can also serve as a visual aid for combinatorics or statistical distribution concepts.

GeoGebra Commands & Parameters

  1. a(x) = log(2, (x + 20)^(1 / 2)) + 10
  2. b(x) = (-log(2, (-x) - 19.52)) + 7
  3. g(x) = If[-30 ≤ x ≤ -19.8, b(x)]
  4. p(x) = (x + 35)^(1 / 2) + 1.375
  5. h(x) = If[-35 ≤ x ≤ -30, p(x)]
  6. q(x) = 30 / (x + 36) - 15
  7. s(x) = 5 / ((-x) - 32) - 10.7
  8. f(x) = If[-19.8 ≤ x ≤ -10, a(x)]
  9. t(x) = If[-31.2 ≤ x ≤ -27, s(x)]
  10. f_1(x) = (2 * (x + 29.6)^(2)) - 22.07
  11. h_1(x) = (8 / 9 * (x + 30)) - 21.75
  12. q_1(x) = (3 * ((-x) - 26)) - 18.19
  13. s_1(x) = (8 / 9 * (x + 25.2)) - 20.59
  14. e(x) = (10 * (x + 22)) - 17.75
  15. t_1(x) = If[-25.2 ≤ x ≤ -22, s_1(x)]
  16. f_2(x) = If[-22.2 ≤ x ≤ -22, e(x)]
  17. l(x) = (1 / 10 * (x + 22.2)) - 19.75
  18. ab(x) = (1 / 4 * (x + 14)^(2)) - 18.93
  19. g_2(x) = If[-22.2 ≤ x ≤ -14, l(x)]
  20. h_2(x) = If[-14 ≤ x ≤ -11, ab(x)]
  21. ac(x) = ((1 / 4 * (-1)) * (x + 7.73)^(2)) - 14
  22. q_2(x) = (-1 / 10 * (x + 7.3)) - 14.04
  23. p_{2}(x) = If[-11 ≤ x ≤ -7.3, ac(x)]
  24. s_2(x) = (1 / 30 * (x + 10)^(2)) + 11.66
  25. t_2(x) = If[-10 ≤ x ≤ 3, s_2(x)]
  26. ad(x) = (1 / 6 * (x + 10)^(2)) + 11.66
  27. ag(x) = ln((-x) - 2.93) + 22.5
  28. f_3(x) = If[-10 ≤ x ≤ -3, ad(x)]
  29. g_3(x) = If[-9 ≤ x ≤ -3, ag(x)]
  30. ah(x) = (1 / 25 * (x + 17)^(2)) + 21.74
  31. h_3(x) = If[-20 ≤ x ≤ -9, ah(x)]
  32. ai(x) = (1 / 15 * (x + 20)^(2)) + 22.1
  33. p_3(x) = If[-20 ≤ x ≤ -10, ai(x)]
  34. aj(x) = (-1 / 10000 * (x + 10)^(4)) + 28.76
  35. ad_1(x) = (1 / 8 * (x + 7)^(2)) + 12.1
  36. f_4(x) = If[-6 ≤ x ≤ -2, ad_1(x)]
  37. ak(x) = (3 * tan((2 / 5 * (x - 0.89)))) + 22
  38. r_3(x) = If[-1.995 ≤ x ≤ 3.8, ak(x)]
  39. al(x) = (-2 * (x - 3.8)^(1 / 3)) + 28.97
  40. s_3(x) = If[0 ≤ x ≤ 3.8, al(x)]
  41. am(x) = (1 / 2 * (200 - x^(2))^(1 / 2)) + 25.02
  42. an(x) = (6 * sin((1 / 12 * x))) + 22.08
  43. ao(x) = (2 * tan((1 / 2 * (x - 4.4)))) + 26.5
  44. g_{4}(x) = If[11 ≤ x ≤ 25, an(x)]
  45. t_3(x) = If[0 ≤ x ≤ 8, am(x)]
  46. ap(x) = (ln((-x) + 11.2) * 1.5) + 29.1
  47. q_3(x) = If[-10 ≤ x ≤ 3.1, aj(x)]
  48. aq(x) = (x - 5.2)^(2) + 12
  49. h_4(x) = If[8 ≤ x ≤ 10.98, ap(x)]
  50. g_4(x) = If[8.3 ≤ x ≤ 11, ao(x)]
  51. p_4(x) = If[7.3 ≤ x ≤ 8.3, aq(x)]
  52. ar(x) = (-2 / 3 * (x - 25)) + 27.3
  53. q_4(x) = If[25 ≤ x ≤ 30, ar(x)]
  54. as(x) = (1 / 30 * (x - 36)^(2)) + 22.78
  55. r_4(x) = If[30 ≤ x ≤ 35, as(x)]
  56. at(x) = (1 / 2 * (x - 35)^(2)) + 22.81
  57. s_4(x) = If[35 ≤ x ≤ 36, at(x)]
  58. au(x) = (1 / 40 * (x - 33)^(4)) + (1 / 20 * (x - 33)^(2)) + 20.85
  59. t_4(x) = If[31.5 ≤ x ≤ 36, au(x)]
  60. av(x) = (6 * tan((1 / 7 * x) + 1.58)) - 30

AI Drawing Prompt Reference

Draw a lion's geometric shape using multiple rectangles, arcs, and curves. Start with the lion's body, including the chest, back, and tail. Then add the head and ears. Use curves and arcs to represent the lion's facial features such as eyes, nose, and mouth. Finally, add details like spots and mane to make the lion more lifelike.
The prompt above was compiled from the original drawing commands and is for reference only.